diff --git "a/data/dm_maths/full_data_2/1352_11255.jsonl" "b/data/dm_maths/full_data_2/1352_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1352_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: 0.042 * 1.90544\nAnswer: 0.08002848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsg when three letters picked without replacement from {g: 1, s: 2, v: 1, c: 1, k: 2, r: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1002101 (base 6) to base 4\nAnswer: -23200111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 9:27 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2 - 51*n - 83. Calculate w(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 576621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47144, -47206, -47268, -47330, -47392?\nAnswer: -47454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5961574.\nAnswer: 2, 47, 63421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*y**3 + 488 + 93*y**3 + 2*y**2 - 26*y**3 - 36*y**3.\nAnswer: -4*y**3 + 2*y**2 + 488","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g - 13. Let w be j(-4). Let r be 81\/12 + w\/(-4). Suppose -2*n = -r*n + 465. List the prime factors of n.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, k: 6, r: 9, i: 1}. What is prob of picking 3 r?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -478.2588522 to the nearest ten.\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 530553 and 4747?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1552 divided by -18.\nAnswer: -776\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 40*z**2 - 78*z**2 + z + 48*z**2 to t*z**2 + g + d*z and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 216 = z, -4*z - 389*j + 390*j = -39 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5941319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3338989098 - 3338988931.0000087. Let y = 167 - v. What is y rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 0)\/(-6)*-21. Let l be (4122\/24)\/(13\/2132). Let s be z\/21 + l\/9. What is s rounded to the nearest one hundred?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 16) to base 11\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21.917 and 0.6.\nAnswer: 13.1502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.09, 2, -1\/22 in decreasing order.\nAnswer: 2, 0.09, -1\/22, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 0.33, -3\/10, -9, 3, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10552676 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2 - 5. Let f(z) be the first derivative of 9*z**2\/2 + z + 4. Give f(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/258427 and -40\/22763?\nAnswer: 4393259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 19*d**2 + 115*d + 301. Determine y(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 138.92 rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -8*w**2 + 22*w. Let a(i) = -33*i**2 + 89*i + 1. Let y(t) = 4*a(t) - 18*m(t). Let v be y(6). What is v rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**7\/2520 + v**6\/40 - 13*v**5\/120 + v**4\/12 - 2*v. Let w(z) be the third derivative of a(z). Is w(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/620 and 87\/10.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 11:21 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b - 1998 + 9*b + 1998.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6 = -2*p - 0*k, -k + 3 = 2*p. Suppose -5*t - 2*d + 31 + 19 = 0, -5*d + 25 = 0. Solve p = 2*v - 3*z - t, v - 7 + 2 = 2*z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1085090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12\/7)\/((-1)\/(-28))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**4\/4 + b**2\/2 - 7*b + 104. What is d(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**2 + 172*c + 6*c**2 - 170*c.\nAnswer: -5*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 12 - 6*a - 12. Determine q(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1628498 by 422.\nAnswer: -3859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -0.4, 25 in descending order.\nAnswer: 25, 4, 3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47052135\/(-12506))\/(-269) + 28\/(-2).\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 - 892 - 432 = -3*l. Calculate the remainder when l is divided by 86.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -238 - -238.0219. What is i rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79628625 divided by 2?\nAnswer: -79628625\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + r + 5*r. Let n(l) = -15*l. Let d(k) be the third derivative of k**4\/12 - 4*k**3\/3 + 5*k**2. Let f be d(6). Calculate f*n(h) + 9*p(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 336520897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 179*n**2 + 7*n - 4. Is k(1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lclcll. What is prob of picking 2 c and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -330*g - 173. Let t = 569 - 573. Let x be s(t). What is x rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108625909 to the nearest integer?\nAnswer: 10422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 2*k**2 - 3*k)*(5*k - 5*k - 2*k**2) + (3*k**3 - 4*k**3 + 0*k**3)*(2*k + 3 - 3) - 4*k**4 - 7*k**4 - k**4.\nAnswer: -10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16409925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 149462*c**2*o**3 - 135449*c**2 + 63*c*o**3 - 5*c*o**2 - 358*c*o wrt o?\nAnswer: 896772*c**2*o + 378*c*o - 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, v: 2}. Give prob of picking 2 c.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121*0.4.\nAnswer: 48.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7400, 18122, 36012, 61076, 93320, 132750?\n\"Answer: r**3 + 3578*r**2 - 19*r + 3840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24618 + 320036\/13. Let v(w) = -w - 6. Let d be v(-5). Put c, d, -4, -0.1 in ascending order.\nAnswer: -4, d, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18703?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 7381 - 7429. Solve 0 = -j*t + 17*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -163 + 85. Let z = b - -84. Let i be 45\/z - 3 - 6\/(-12). Solve 0 = -3*n - 3*a - 9, -2*a = i*n - 0*a + 21 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 61 + 4 + -15 + 33 + -20 + -8\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000138998 to 6 dps.\nAnswer: -0.000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-60))\/((-12)\/30)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (-3 + sqrt(108)*-6)*-4 + 0)*-6)**2 + -4.\nAnswer: 176256*sqrt(3) + 2249888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 11:53 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 + 129. Suppose -2*f + d - 10 = -z, -4*z = -5*f + 150. Calculate the remainder when 89 is divided by f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 10*o - 37. Let v be n(-13). What is the third derivative of 22*a**3 + 42*a**2 + 29*a**2 - v*a**4 - 51*a**3 wrt a?\nAnswer: -48*a - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 638, 610, 544, 422, 226, -62, -460?\nAnswer: -986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -11 - (3 + -1 + 1) - -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 8:56 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l**4 + 1748*l**3\/3 - 103618*l**2\/3 + 135628*l\/3 - 33761\/3 = 0. What is l?\nAnswer: -637, 1\/3, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8278376 and 8.\nAnswer: 8278376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 155022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25749513?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.2, 66\/1159?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27.9 in -4\/13, 0.1, 5, 37?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.759552828 rounded to 2 decimal places?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4360 divided by -4.\nAnswer: -1090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 m, and 1 h when three letters picked without replacement from {m: 5, k: 3, h: 2, r: 7}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 109583060.\nAnswer: 438332240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 15.5. Which is the nearest to 0? (a) -1\/5 (b) d (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f - 1. Let r be t(-1). Suppose c = -0*c. Suppose 3*w = 5*i - 41, -3 = i + 3*w - 4. Solve -i*g + 2*d = -3*g + 2, c = 2*g + r*d + 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*y = 63, 0 = -3*s - 2*s + 3*y + 227. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -60, 1.9, -30, 0.4?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 569 divide 474546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.50949 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263893535.\nAnswer: 5, 52778707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnx when three letters picked without replacement from {x: 6, h: 4, t: 2, n: 1}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38057, -47654, -57251, -66848, -76445, -86042?\nAnswer: -95639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.357 and -1.9?\nAnswer: 0.6783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -890558780809\/4728159 + 1211\/278127. Let d = 188121 + j. Let f = -231 - d. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -27.38. Let t = 44961 + -44961.37829. Let y = o - t. Round y to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -13\/53342?\nAnswer: -13\/53342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 36 = 7*w. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/2*-3*6. Suppose -3*j + a = 0, -5*j = o + 2*o - 123. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 4:43 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+1805.2\nAnswer: 1805.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*55\/(-100)*10700\/(-5885).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120121100001121 (base 3) to base 16.\nAnswer: -7e8b1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 102 (b) 76 (c) -26 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 906718.5ml to litres.\nAnswer: 906.7185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 16*q**2 - 3*q - 1. Let n be -10 - -6 - (0 + -7). What is the hundreds digit of s(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 22. Let g be h(-18). Suppose 0 = -g*j - j + 10. Put j, -5, -2 in decreasing order.\nAnswer: j, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1204*y + 455238. Give v(378).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3.2. Let s = 294 + -299. Let p be 6*(s - (-114)\/24). Which is the second smallest value? (a) g (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2041 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5\/3 - 388*s**4 + 40802*s**3\/3 + 43508*s**2 + 29520*s = 0. What is s?\nAnswer: -615, -2, -1, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*c + 10. What is the units digit of c\/35 + 72\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 827492 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-36)\/(-5))\/(-3)*(-40)\/6. Which is greater: 14 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1712680 and -83\/3767896?\nAnswer: 18839480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.366 - -1.104. Let m = -1.6 + i. Let d = 0.875 + -0.775. Is d != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1368 by 98.\nAnswer: -684\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*r**5 - 168*r - 150*r - 608*r**5 + 150*r - 218*r wrt r.\nAnswer: -13580*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -478445, -956941, -1435437, -1913933?\nAnswer: -2392429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 44267.\nAnswer: -17706.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -1706869?\nAnswer: 4\/1706869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*k = -7, 0 = 5*j - 1534*k + 1536*k - 17. Solve j*f - 10*h + 23 = -8*h, 4*f + 19 = h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -8 + -8 + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.23539kg?\nAnswer: 4235390000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 569642.6451 + -569605.64510051. Let c = 48 + -11. Let n = c - s. What is n rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwmwwwwwmwwwwm. What is prob of sequence www?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -756518 divided by -54037?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**4 - r**3 + 3*r**2 + 11*r. Let j(a) = -a**4 + a**3 - a**2 - 5*a. Let o(k) = -5*j(k) - 2*x(k). Factor o(p).\nAnswer: p*(p - 3)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67885 at least as big as 67879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 n, and 1 t when three letters picked without replacement from {e: 1, o: 1, t: 1, k: 2, n: 3, z: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11505035 greater than 11505036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (670\/(-402))\/(25\/45).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9095444 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 2. Let k be t(3). Let m(d) be the second derivative of -d**3\/6 + 757*d + 7. Determine m(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o - 1. Let l(j) = 33*j + 3. Let w be l(-1). Let s = 28 + w. Let b(m) = m. Determine s*r(i) - 3*b(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + ((18 - 12) + -12 - -3) - (32 - -1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 173*l**2 - 1547*l + 4. Let u = 61 + -12. Calculate the remainder when o(9) is divided by u.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5 + 179*w**4 - 706*w**3 + 1054*w**2 - 701*w + 175 = 0.\nAnswer: 1, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 84 + -84. Let l(s) = s + 1835. Is l(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m + 3. Let g(q) = -3*q + 2. Let l(x) = 3*g(x) - 2*o(x). Let c(j) = -116*j**2. What is c(l(z))?\nAnswer: -116*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + -0.2. Let i = -2.617 + -1.383. What is the nearest to f in -2\/9, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1370 and 20450.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w + 3 + w**2 - 5 + 1 + w**3 to a*w**2 + b*w**3 + k + c*w and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b5 + -3?\nAnswer: -3b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/9 + -8)\/((-5)\/10).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**5\/10 + n**3\/6 + 4*n + 52. Let x(z) be the first derivative of t(z). Calculate x(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7905 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2*s - 6. Determine m so that -2*m**3 + 0*m**3 + 0*m**3 + 3*m**s - 5*m**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2496*x - 1.\nAnswer: 2496*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from {l: 3, e: 2, y: 4, z: 6}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o - 46 = 70. Sort 4, 46, o in descending order.\nAnswer: 46, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005867948 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3362518*o**2 - 17864708*o.\nAnswer: 6725036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 62295.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + v**2 + 1)*(2 - 2 + 2*v**2) + v**3 - v**3 - 4*v**4 + 384 - 786 + 402 + 3531*v**4 as j*v**4 + d*v**3 + s*v**2 + o*v + g and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3a - -1a2?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 200623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 226970, 227691, 228418, 229157, 229914, 230695, 231506, 232353?\n\"Answer: y**3 - 3*y**2 + 723*y + 226249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15657, 14556, 12721, 10152, 6849, 2812?\nAnswer: -1959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 4 - (4 + 4 - 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13114002 (base 5) in base 7?\nAnswer: -1045554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4030*f**5 - 266*f**4 + 2*f**3 - 173483*f**2 + 5 wrt f?\nAnswer: -241800*f**2 - 6384*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10033 - -10038. Put h, 17, 1, -10, -2 in ascending order.\nAnswer: -10, -2, 1, h, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6228228037 + -4.1502?\nAnswer: -6228228041.1502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -467*i**2 + 0 + 0 + 457*i**2.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/2 + 55459*a + 1219977\/2.\nAnswer: (a + 11)*(a + 110907)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 12622 - s**2 - 12622. Let d(y) = 271*y. Give d(p(u)).\nAnswer: -271*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - f + f)*(17*f + 24*f - 28*f)*(-5 + 4 - 12).\nAnswer: 338*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7788 and 6.\nAnswer: 46728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g. Let h(l) = -l**2 + 6*l + 10. Let o be h(5). Let p(n) = -4*n + o*n - n. Give q(p(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 24 = 8*v. Calculate the common denominator of 1\/8*4\/(16\/v) and 97\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*i - 2 = 0, 0 = -4*d - d + 4*i - 38. Let l(k) = -7*k**2 - 7*k - 5. Let a(j) = -j**2 - j - 1. What is d*a(u) + l(u)?\nAnswer: -u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-150)\/(-10200)*-40)\/(2*-1)?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*d - 64 + 40. Let b(u) = -11*u + 6. Let i(r) be the first derivative of -50*r**2 + 55*r + 2. Calculate d*i(n) - 55*b(n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16910 is divided by 16870?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-7 + 1) - (-4 + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -363029.\nAnswer: -145211.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -494957 (base 10) in base 12?\nAnswer: -1ba525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6446 - -58012\/9. Which is smaller: -3364 or d?\nAnswer: -3364","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1221 + -1221. Factor o*b - 1\/7*b**3 - 2\/7*b**2 + 2\/7*b**4 + 1\/7*b**5 + 0.\nAnswer: b**2*(b - 1)*(b + 1)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 13 = 43. Suppose b - 1 - 1 = 0. Let n be 10\/(2*b\/40). Calculate the highest common divisor of n and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 - s**4 - s**4 + (8*s + 17*s**2 - 8*s)*(52*s**2 - 24*s**2 + 34*s**2).\nAnswer: 1053*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*q - 9*q - 51 + 391 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -851, 18, -4, -13 in decreasing order.\nAnswer: 18, -3, -4, -13, -851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 206, 377, 498, 545, 494, 321?\n\"Answer: -4*d**3 - d**2 + 202*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 2) in base 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 56595?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + 10*m**2 - 10*m**2 - 1203*m**3 + 146*m**3 + 2*m to h*m**3 + c + j*m + n*m**2 and give h.\nAnswer: -1057","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*l + 48*l**2 - 24*l - 30*l**2 - 25*l - 25*l.\nAnswer: 18*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 286? (a) -10 (b) 125 (c) -3 (d) 9 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(12)*2) - sqrt(576)\/sqrt(6))\/(-5*sqrt(2352)) + 5.\nAnswer: sqrt(2)\/40 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.3 + 25.3. Which is the nearest to 0? (a) 5.4 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*(-1*sqrt(480) + sqrt(360)\/(sqrt(24)\/sqrt(2)))\/(sqrt(50)\/(sqrt(80)*-1)).\nAnswer: 4 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 74144.22 and 425.\nAnswer: 74569.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/70*5*44. Put 1, 3, v in ascending order.\nAnswer: v, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lds when three letters picked without replacement from eesseeededlelyey?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3630 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*u = 7, 4*u - u + 28 = 5*z. Suppose 0 = a + 2*t + 4, z*t + 0*t = a - 10. Solve -3*o - 9 = -4*o + 4*b, a = -2*o - 5*b - 21 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 9*r**5\/25 - 447*r**4\/5 + 89398*r**3\/15 - 29502*r**2\/5 + 9801*r\/5 - 1237. Solve t(x) = 0.\nAnswer: 1\/3, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1272657*b - 78 = -1272659*b + z, b - 4*z = 32 for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155, -648, -1469, -2618?\nAnswer: -4095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 8*l - 4. Let u be v(-3). Suppose -15 = 5*i - 0*f + 4*f, 2*i + 2*f + 6 = 0. Let k = i + u. Calculate the remainder when 15 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 3 - (11 + 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40088.3t to grams.\nAnswer: 40088300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - -3 - 0)\/(-1). Let t = 8 + h. Let s = 99 - 59. Solve 3*f - t - 1 = g, -5*g - 5*f + s = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1923 is divided by 34?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1854*q + 1192*q + 142069 = 1146*q - 82123 for q.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 102*b**3 - 4*b**4 - 102*b**3 + (0*b**3 + b**3 + b**3)*(0 + 0 + b).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8931.\nAnswer: 3, 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 6*o - 6. Suppose -5*w - 2*m - m + 7 = 0, o*m - 5 = -3*w. Which is smaller: 4\/9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2392502, -2392347, -2392192, -2392037, -2391882?\n\"Answer: 155*t - 2392657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllllllsllll. What is prob of sequence llsl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -14447*l. Let w(s) = -68*s. Determine r(w(f)).\nAnswer: 982396*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22176 divided by 3?\nAnswer: 7392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-84))\/((-2)\/(-27))*32\/42.\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1720\/(-1548)*225\/(-10)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w - 27. Let m be s(0). Let f = 30 + m. Solve -b - 4 = -3*u, -2*b - 2*b - 16 = -f*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 9*q + 6. Let t be x(7). What is t rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 2*y**3\/3 - 2*y**2 - 6*y - 6. Let a be 18\/(-4) + (-2)\/(-4). Let q(g) = -3*g**2 + 7*g + 11. What is a*q(x) - 7*j(x)?\nAnswer: -2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1323 (b) 5 (c) -1 (d) -3\/8 (e) 3\/4 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 55.1*-8\nAnswer: -440.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3070738.\nAnswer: 6141476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*z + 163*z - 2*k = -2111, -1696 = -4*z + 2*k. What is the remainder when z is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 295944 and 336?\nAnswer: 4143216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2736 and 16119828?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6157.\nAnswer: 47, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2*(-1 - -1). Suppose -2*h = 3*r - 34, -r = -f - 2. Let s(w) = h*w**2 - 34*w**2 + 17*w**2. Let q(c) = 5*c. What is s(q(j))?\nAnswer: -75*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1028 and 69647?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 2, 45, -0.2, 4\/7, 1 in ascending order.\nAnswer: -21, -0.2, 4\/7, 1, 2, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + l - l)*(-l + 7*l**2 + 3*l**2 - 7*l**2).\nAnswer: -3*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47196290, -94392581, -141588872?\nAnswer: -188785163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from {j: 4, z: 2, y: 3}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 216576 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 3:42 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 53*m**2 + m - 2. List the prime factors of p(1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*z**2 + 9*z**2 - 9*z**2 - 13*z**2.\nAnswer: -30*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 66 + 84. Suppose 2*n - 7*n = -h. Suppose -2*g = -4*g + n. Solve -g*b + 15 = 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 118\/11 - 332\/33. Put -0.4, -2, y, -106 in ascending order.\nAnswer: -106, -2, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2256*s - 5. Let w = -547 - -545. Is z(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30342 + 57914. What is the ten thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-404)\/(-606)*(-6)\/(-34)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, e: 1, p: 3, j: 7}. What is prob of picking 4 j?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*9\/(-12) + 2. Suppose 124 = -4*i - 4*f, -140 = 5*i + j*f - 3*f. Let u = 28 + i. Solve -g + u = 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7864 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*i**4 - 4 - 14*i**4 - 15*i**4 with respect to i.\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from 1291888439211.\nAnswer: 1291888439204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 + 381*x + 2317. Calculate t(-6).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 0*w**4 + 0*w**2 + 1\/4*w**5 + 17*w + 0 + 5\/6*w**3. Find the second derivative of d(t) wrt t.\nAnswer: 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294)*2)\/(sqrt(18)\/(sqrt(36)\/sqrt(4) + sqrt(9)))*-3 - ((sqrt(441) + sqrt(441)*-1 + sqrt(9))\/sqrt(3) - (0 + (1*sqrt(12))\/sqrt(4))).\nAnswer: -84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 23*d**3 + 20*d - 3. Let k = -22 - -16. Let s(f) = -8*f**3 - 7*f + 1. Calculate k*h(g) - 17*s(g).\nAnswer: -2*g**3 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykyyyylkkkyyy. What is prob of picking 1 l and 2 k?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t. Let l be q(-1). Let n be (-19)\/(-190) - 27\/70. Which is the closest to n? (a) 1 (b) l (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 + 2423?\nAnswer: 2373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 25887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 641242*n**3 + 899866?\nAnswer: 1923726*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -1 - 18*b - 1\/5*b**6 + 91\/12*b**4 + 1\/7*b**7 + 0*b**3 + 0*b**5 + 0*b**2. Find the third derivative of k(x) wrt x.\nAnswer: 360*x**2 - 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 2. Let u be g(0). Suppose 0*n = u*n. Suppose 3*a - 9 - 15 = n. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 1261*j**2 - 170297*j + 1998555.\nAnswer: (j - 111)*(j - 13)*(j + 1385)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -4) + -14 - (-1 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g*w**3 + 2*g*w**2 + 348*g*w + 448*g - 15*w**3 - 7*w**2 - 1162*w with respect to g.\nAnswer: 2*w**3 + 2*w**2 + 348*w + 448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.83 and 19?\nAnswer: 19.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2097)\/12 + 2\/(-8). Let k = 385 + t. Let n be 30 - 0\/(4\/(-2)). Calculate the greatest common factor of k and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10758, 4695, -1382, -7479, -13602, -19757?\nAnswer: -25950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 17*o**2 + 13*o - 31. Let r be u(-16). Suppose r + 59 = 4*q. Calculate the common denominator of -43\/5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m + 2*m + 0*m)*(3*m - 3*m - 2*m**2) - 539 + 5*m**3 + 539 + 0 - 2*m**3 + 0 + (0 + 2*m + 0)*(-3*m**2 + 3*m**2 - 2*m**2) - m - 2*m**3 + m.\nAnswer: -21*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 2*v - 34 = 0, 18*j + 1 = 16*j - 23*j + 8*v + 77 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*t + 2\/3 - 2\/3*t**2.\nAnswer: -2*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 523490880?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -92.7755 from -126.\nAnswer: -33.2245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (h**2 + h - h)*((-3 + 6 + 1)*(h - 3*h + h) + 3595*h - 893*h + 455*h) as i*h**2 + x*h + p + j*h**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from ssfsff?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 2. Suppose 2*a + 3*v - 11 = -1, 4*v = -3*a + h. Find the first derivative of -a + 3*r - 5*r + 1 wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -1844*j - 9218. Determine z(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -320*j**2 - 6*j. Let z(i) = 960*i**2 + 16*i. Calculate -8*q(p) - 3*z(p).\nAnswer: -320*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eqeyyye?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*i - 3*y, 5*i - 21*y = -18*y - 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 + 128 = 8*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -0.03, -218, 1\/8?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + s - x = -13, -4*x + 8 = -3*s. Suppose 7*g = 5*g. Suppose 0 = -0*o + 2*o - 2*p, -s*o + 2*p + 6 = g. Is o less than 7\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -5, -4258, 4, 0, -0.5 in increasing order.\nAnswer: -4258, -5, -0.5, 0, 0.03, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*j + 5175 + 2338 + 2361 - 1910 = 0 for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 3*j + 60.\nAnswer: -3*(j - 4)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -1.1, 0.2, 4428\/5?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4134 or 0.54?\nAnswer: 4134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 3*y + 15. Suppose 0 = y*j - 7*j - 34. Let a = 21 + j. Let w(h) = h**3 - 5*h**2 + 4*h. What is w(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-868)\/(-651))\/((-92)\/3)\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1271, 1293, 1315, 1337?\nAnswer: 1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -204*i - 162*i + 492*i + (7*i - 4*i + 7*i)*(-1 + 1 - 1).\nAnswer: 116*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8688 - 8688. Let o = -0.7 - 0.3. What is the nearest to o in h, -4, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 11*g - 5. Determine l(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -2 - -2) + (-22)\/(-22). Suppose -6*d + 7*d - 33 = g. Calculate the remainder when d is divided by 26.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + n - 1. Let m be -7*18\/(-189)*(-4)\/((-16)\/(-6)). Let u(h) = -41*h**2 - 6*h + 6. What is m*u(q) - 6*v(q)?\nAnswer: 47*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {u: 3, e: 11}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.4, -1\/2, 4, 11\/2, -34 in increasing order.\nAnswer: -34, -1\/2, -0.2, 0.4, 4, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 5*a - 2, 0*y = -4*y - 5*a + 26 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 90\/28*(-199952)\/(-62485)\nAnswer: 72\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/1188 and -49\/78312036.\nAnswer: 704808324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**36*c)**29)**(-47) assuming c is positive.\nAnswer: c**(-51794)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.206 + -0.106. What is the nearest to 2 in -1, g, 6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 12, -3, -230 in descending order.\nAnswer: 12, 2, -3, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2665 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 4 + 4*g**4 - 5 + 2*g**3 - 3 to a*g**4 + d*g**3 + h + u*g**2 + w*g and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -4. Let w be 10\/6*4\/(-10). Sort z, w, -0.5 in descending order.\nAnswer: -0.5, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212004 (base 5) to base 16\nAnswer: -1bd9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 170 - 60 - 58 - 27472*u.\nAnswer: -27472*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 1.8. Let m be (2\/(-4))\/(21\/10398). Let y = 247 + m. What is the smallest value in y, 0.5, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/7 - 34*c**4\/7 + 76*c**3\/7 + 496*c**2\/7 + 384*c\/7 = 0.\nAnswer: -2, -1, 0, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1142*h - 1142*h + 1520*h**2 + 484*h**2 to i*h + d*h**2 + b and give d.\nAnswer: 2004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002928465468 to six dps.\nAnswer: -0.002928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3250800 and 253485?\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 63\/8 of a litre?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 282 divided by -1.\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 414, 389, 364, 339?\n\"Answer: -25*n + 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 19 = 586. Let p(u) = u**2 - 4*u - 3. Let z be p(5). Suppose 3*i = 2*j - r, j = i + z*i + 68. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*g - 536, -132*l = -131*l - g - 137. Is l a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**5 + 26464*h**4 - 2785852*h**3 = 0.\nAnswer: 0, 107, 6509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2716003 + 2?\nAnswer: -2716001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v - 7. Let k = 1 + 2. Let d be x(k). What is d rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = -5*f + l + 10, -2*f + 2*l = -12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 w, and 2 h when four letters picked without replacement from {x: 4, w: 2, h: 7, l: 1}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/6*(-1 + 1). Suppose v - 4*v + 6 = b. Let n be ((-12)\/18)\/(v\/(-6)). Solve 5*u - 8 - n = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11333110 (base 4) in base 12?\nAnswer: 12244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 24 - 9. Suppose i*k - 4*a - 48 = 0, 5*a + 14 = k + 2*a. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z. Give p(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 658 - 658. Suppose -z + 5*z = -3*s + 32490020, 3*s + 3*z - 32490015 = k. Round s to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h + 6 = 0, -28 = -4*s - 4*h. What is the closest to 5 in 2\/3, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 82129, 164256, 246385, 328516, 410649?\n\"Answer: v**2 + 82124*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.02, 1\/4, 3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -65*k**2 + 33*k - 50. Let h(f) = -12*f**2 + 6*f - 10. Let l(s) = -11*h(s) + 2*t(s). Let c(p) = 5*p. Calculate c(l(i)).\nAnswer: 10*i**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m. Let g(x) = -x. Let j(o) = -2*o**2 - 4*o + 1. Let c(v) = -v**2 - 5*v - 3. Let w be c(-5). Let n be j(w). Give n*a(p) + 12*g(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - o. Let x be 3\/(-6) + (-3)\/6. Let i(a) = -2*a**3 - 3*a**2 - a. Let l(n) = x*i(n) + 3*m(n). Solve l(c) = 0 for c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 3)*(72 - 176 + 67)*(-1 + 2 + 1)*(s + 0*s - 1 - 3*s) - 3 + 3 + 2*s in the form t + n*s and give n.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4809 - -4854. What is the second smallest value in -3, 5, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1261 in 2, 0.04, 8, -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 10:32 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*g + 940 = -6*p + 8*p, 0 = 2*p - 2*g - 22 + 82 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231\/616 - (-112394)\/16?\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2234 to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z + 8. Let u = -67 - -61. Let v(y) = -6*y + 15. What is u*v(x) + 11*a(x)?\nAnswer: 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1242586 and 376.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5971*f**3 + 4*f**2 + 2*f - 209 wrt f?\nAnswer: 35826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**6\/160 - k**5\/5 - 85*k**4\/32 + 25*k**3\/2 + 251*k**2 + 3*k. Factor y(i).\nAnswer: 3*(i - 20)*(i - 1)*(i + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 13.4457097.\nAnswer: -13.4457097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 3. Let g be -1*(0 - 4 - -2). Which is smaller: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 199 divided by 516\nAnswer: 199\/516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 5. Suppose 4*v + 2*q + 28 = 0, q + 24 = -5*v + 4*q. Let c(l) = l - 4. Let f(i) = v*c(i) + 5*u(i). Differentiate f(p) wrt p.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p + 16 + 7*p - 8 to n + b*p and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*b**3*r**3 + 107*b**3 + 6*b + 12*r**4 with respect to r.\nAnswer: -90*b**3*r**2 + 48*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 9*a + 54, 15411 = 4*w - a + 15405 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from {m: 2, x: 18}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 18*c**2 + 2129*c - 9. Let q(t) = -t**3 - 20*t**2 + 2128*t - 10. Give 10*p(z) - 9*q(z).\nAnswer: -z**3 + 2138*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/54034 or -1?\nAnswer: 5\/54034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2772809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 11492?\nAnswer: -11494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 49 = 609. Let v be -4 - 7\/(h\/(-72)). Which is the nearest to -0.1? (a) -0.2 (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295 - b - 257 - 2*b + 45 + 95.\nAnswer: -3*b - 412","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (259\/(117845\/(-2310)))\/((-2)\/13)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -27649 smaller than -27650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/42 and -157\/143459400?\nAnswer: 143459400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6632.734 + -6616. Round h to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(550) + sqrt(550))\/(4*(sqrt(2) - (sqrt(128) - sqrt(128)*2))).\nAnswer: 25*sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 432 and 36?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-309)\/(-15) - 3\/5. Suppose 4*n - p = -n. Suppose 0 = 3*j + 12, 4*y = -3*j - j - n. What is the greatest common factor of 33 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -2, 7568, -1, 3 in descending order.\nAnswer: 7568, 3, 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8008.956 decades?\nAnswer: 80.08956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -13*q**4\/24 + 5*q**3\/6 - 17*q**2. Let u be k(-2). Let h = u - 27. What is the least common multiple of 5 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f = 2*x - 18, 3*f = 5*x + 7. Suppose 25 = 4*h + x. Suppose h*v = v. Which is smaller: v or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.055 + -0.055. Let j be (2 - 2) + 142 + 1. Let z be j\/(-117) + 4\/18. Which is the closest to d? (a) 3 (b) z (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106829, -213678, -320525, -427370, -534213, -641054?\nAnswer: -747893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/10 and (-45)\/(-2676)*(-2 + 215\/105)*38?\nAnswer: 15610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 660\/16 + 1\/(-4). Suppose -5*k + 3*f = -51, -4*k + n = -f - 4. What is the greatest common factor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 6*n - 27. Let p be m(5). Let s(k) = 13*k + 91. What are the prime factors of s(p)?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 10. Let p be z(7). Let r(h) = -2*h - 4 + h**p + h**2 - 7*h**2 - h**2 - 2*h**3. List the prime factors of r(-7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 4*m = -3 - 1, -4*q - 2*m + 8 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**4 + 220*i**3 = 0 for i.\nAnswer: -44, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56.96 + -58. Let f = w - -0.04. Let u be -7 + 5 - (-10)\/((-100)\/(-45)). Which is the closest to f? (a) u (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-2))\/(-5)*(-53812)\/(-7338).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -11408120.\nAnswer: -11408119.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d - 1324?\nAnswer: -1307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-6))\/((-12)\/(-32))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -367 and 667.151.\nAnswer: 300.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002158063416 rounded to 7 dps?\nAnswer: -0.0002158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156, 314, 472, 630, 788, 946?\nAnswer: 1104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - -4*sqrt(1872)*-1 - (sqrt(1872)*2 - sqrt(1872) - sqrt(1872))*-4)**2 + -5.\nAnswer: 16843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.1 - -0.1. Put -0.06, c, -0.3 in increasing order.\nAnswer: c, -0.3, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105 - 322. Let j = g - -217.4. Which is the nearest to 1? (a) 0.01 (b) j (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/1365 and -14\/1293.\nAnswer: 588315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300289989.\nAnswer: 3, 17, 5888039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 12:00 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + ((-5036)\/(-140) - -2). Let v = -177\/5 + o. Let l be (-5)\/(-7)*(-2)\/5. Which is the closest to 0? (a) l (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from ohaa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 81*a + 3237. What is the remainder when b(-34) is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 145*k**4 + 10*k**3*v - 5*k**3 - 79252*k**2*v wrt k.\nAnswer: 3480*k + 60*v - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22612*s - 6042*s + 7079*s - 15465*s + 447*s)*(-s + 3*s - 3*s + (0*s + 0*s - 2*s)*(2 - 6 + 3)).\nAnswer: -36593*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -14*x - 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 - -15. Let z be 3\/12 - n\/8. Suppose 0 = z*y - 2*h + 12, -2*y - 4*h - 22 - 2 = 0. Which is the second biggest value? (a) -1\/5 (b) y (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 10:55 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 - (0 + 2 + 1) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 4*y + 2. Let f(d) = -d + 25. Let o be f(7). Suppose 27*b - 9*b - o = 0. Let z be b\/(-3)*(11 - 2). What is k(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 209456 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 82997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2\/5 - 15810952*w\/5 + 15624137696644\/5.\nAnswer: 4*(w - 1976369)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 5:03 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 v when three letters picked without replacement from vxyjq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -534*h = -5783 - 6499 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -17*t + 66. Let x(b) = b - 3. What is x(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (50 - (-16 - -19))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**5\/15 - 2*c**4 - 22*c**3\/3 - 41*c**2. Find u, given that s(u) = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 5:55 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3*t + 3*t)*(t + t - 3*t)*(5*t**2 + 0*t**2 - 2*t**2).\nAnswer: -15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*p*x**2 + 2*p*x - 100552*p - 31313*x**2 + 32 wrt x?\nAnswer: 30*p*x + 2*p - 62626*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16359 - 9468. What is the thousands digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11768 + 418?\nAnswer: -11350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235089.\nAnswer: 3, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1383*n + 7834 - 23316 - 11885 - 9974 = 0 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -78 (b) -5 (c) 7888 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*i = 60. Let a be -1 - (-5)\/(i\/9). Suppose -a*j = -5*j + 48. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/14)\/((-14)\/((-112)\/(-4)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25896731?\nAnswer: 7, 3699533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17611 - 17570. Which is the third smallest value? (a) i (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -1\/12*b**4 - 1\/120*b**6 + 0 + 0*b + b**2 + 1\/12*b**5 - 1\/2*b**3. Calculate s(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p*p*(p**(1\/34)*p)\/p*p)\/p)**(-1\/73)*((p*p**(1\/18)*p)\/p)\/(p\/p**(9\/5)) assuming p is positive.\nAnswer: p**(100541\/55845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - d - 14. Let v(j) = -48*j**2 - 64*j - 896. Let k(n) = 3*v(n) - 192*w(n). Let p(r) be the second derivative of r**3\/3 - r. Give k(p(t)).\nAnswer: 192*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15\/4 + 23\/4*i + 9\/4*i**2 + 1\/4*i**3 = 0. Calculate i.\nAnswer: -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 + -19686294.512.\nAnswer: -19686316.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -885716 divided by -113.\nAnswer: 885716\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 179158619053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2690048 a multiple of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -10.5. Put u, 2\/15, -2 in increasing order.\nAnswer: -2, u, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3 - 2\/3*u - 2\/3*u**5 + 4\/3*u**3 - 4\/3*u**2 + 2\/3*u**4.\nAnswer: -2*(u - 1)**3*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p + 40 = -4*i, 4*p - 9 = 5*i. Let k be 1*0*(-1)\/(-2). Sort k, i, -2 in descending order.\nAnswer: k, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + f + 5*f + (-f + 3*f - 3*f)*(-1 + 1 + 2) + (-f + 6*f - 3*f)*(1 - 5 + 3) in the form d + r*f and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.07 (b) -2\/15 (c) -0.426\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 0)**2 - sqrt(216)\/sqrt(8).\nAnswer: -3*sqrt(3) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 0 + 1\/60*z**6 - 1\/10*z**5 + 4*z**3 + 47*z**2 - 1\/3*z**4 - 2*z. Solve f(g) = 0.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + w. Let b(z) = -z**2 - 10*z - 4. Let n(j) = -b(j) - 4*h(j). Suppose -6*a + a - 4*q = 37, -2*q = -4*a - 14. Is n(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(2 + -2 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -750\/11 in -0.3, 69, -3, -0.4, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r - 26*r - 11*r + 2856420 = 0. What are the prime factors of r?\nAnswer: 2, 3, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 6. What is m(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36174.\nAnswer: 2, 3, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*a = 9303, 2*a - 5 + 3 = 0. Let h = i - -3386. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 19*m**2 - m - 11. Give k(-19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4267, 4250, 4219, 4168, 4091, 3982?\nAnswer: 3835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71545342.\nAnswer: 2, 11, 3252061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**3 + 9*y**2 - 5*y - 12. Let d(h) = -5*h**3 - 11*h**2 + 6*h + 16. Calculate 3*d(o) + 4*l(o).\nAnswer: 5*o**3 + 3*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1005 = 20*o - 21*o, -12 = 4*o. Which is smaller: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 272 + -270. Let u = -41.8 - -41.62. What is the third biggest value in d, u, 4, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 - 4.6. Let m(z) = z**3 - 7*z**2 + 4*z + 9. Let d be m(5). Let q be 1\/(2\/1)*(-6)\/d. Which is the nearest to 1\/4? (a) q (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ob when two letters picked without replacement from {a: 2, m: 1, b: 1, o: 9, h: 6}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 7:45 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3)**(17\/5)*z\/(z*z*z**(-1)\/z)*z**(7\/6))**(1\/5) assuming z is positive.\nAnswer: z**(371\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 36. Suppose 3*b + b + 13 = z*y, 5*b = -2*y + 24. Suppose 2*h - 150 = -3*u, y*u - 4*u = 4*h - 300. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 4, 5 in decreasing order.\nAnswer: 5, 4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -18 - 15. Let b be -3*g\/(-63) - -3. Let r = b + -64\/35. What is the nearest to r in -5, -1\/5, -2\/13?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49*i - 49*i + 174*i**2)*(-2*i - 12*i - 3*i) - i**3 - i**3 - i**2 - i**2 + i to the form n*i**2 + b + d*i**3 + v*i and give d.\nAnswer: -2960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 5*s**2 + 5*s - 2. Suppose -3*v = v - x - 15, -x - 3 = -v. Calculate the remainder when r(v) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 3. Suppose 2*h = -2*w + 4, -3*h + w + 2*w + 30 = 0. Suppose -1 - 17 = -h*n. Suppose -n*a + 16 = 34. What is z(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 61*w**2 + 5440*w + 35089. What is q(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366*a - 1112 = 38*a + 2928 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 839 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5\/4)*n*((n*n*(n*n\/n**(-1\/8))\/n)\/n)\/n)**(-4)*(n*n*n\/n**(-1\/4))\/(n\/(n*n**(3\/7)))*n\/(n*n\/(n\/n**(-1)))*n*n*n\/(n*n**3) assuming n is positive.\nAnswer: n**(5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-92)\/(-138) + (-2)\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 4*p + 0*p)*(6*p**2 - 5*p**2 - 4*p**2)*(-1 - 1 + 1).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2535)\/156*((-1932)\/(-70))\/(-23)*2?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(11) + -1 + 4 + sqrt(66)\/sqrt(6) + sqrt(11) + ((-2 + sqrt(11))*3 - (1 + sqrt(11) + 1*sqrt(11))))**2.\nAnswer: -32*sqrt(11) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/582*-290 + (-1059 - -1062)?\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -7 (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 2516?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -502252\nAnswer: -2009008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5380578 (base 10) in base 3?\nAnswer: 101010100202200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24872 is divided by 6218.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -12. Let y(r) = -15*r**2 + 6*r. Let f(t) = -16*t**2 + 6*t. Let i(x) = u*f(x) - 5*y(x). Solve i(k) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/14 - 32\/56. Suppose k = -3*a + z + 431, 4*a - 19 - 549 = -2*z. List the prime factors of a.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-10\/7)\/q**(-6\/7)*(q**(2\/13)*q)\/(q*q**(-9)) assuming q is positive.\nAnswer: q**(781\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**4 + 16*f**3 - 5*f**4 - 10*f**3 - 13*f**3 - 12 to the form k*f**3 + j*f + g + a*f**4 + o*f**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 90887 and 90886 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(3)*-1)**2 + 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 24 = 5*q, -2*q + 8840*i + 14 = 8843*i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 478364 and 1913456?\nAnswer: 1913456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**2 - 3*k**2 + 4*k**2 + (3*k + 0*k - 2*k)*(-5*k + 2*k - 2*k) + 19 - 8 - 4 + 2*k**2 in the form a + v*k**2 + w*k and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5 + 2 + sqrt(1088) + -3) + 2 + (4*(sqrt(1088) + 1 + sqrt(1088) + sqrt(1088)) - -6*(-1 + sqrt(1088))))**2.\nAnswer: 2560*sqrt(17) + 435264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 62*l - 11167. Calculate c(180).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 6 - (0 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*x - c, -x + 6 = 2*c - 9. Suppose 5*y + 3*v = 30, -y - x*v = -3*v + 11. What is the remainder when 96 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655254069.\nAnswer: 3, 17, 12848119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 4 - (-1 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvwvvwvwwwvvvw. Give prob of picking 4 v.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.19? (a) 1\/4 (b) -8.2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5150\/1545*(-12)\/(-10)*2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -10*b + 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2971, 5, 4, -4, 7, -24 in increasing order.\nAnswer: -24, -4, 0, 4, 5, 7, 2971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 5*a**4 + 17*a**3\/3 - 17*a**2\/2 + 23*a - 1. Let u(y) = 7*y**3 + 6*y**2 - 6*y + 8. Determine -6*b(w) + 17*u(w).\nAnswer: -w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6511, -6508, -6507, -6508, -6511, -6516, -6523?\n\"Answer: -u**2 + 6*u - 6516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (356\/16)\/((-7)\/112). Let x = m + 375. What is the remainder when 128 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -571 + 596 - (3 - 34)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 171007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 48545260 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -926, -1381, -1836, -2291?\n\"Answer: -455*s - 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 + 546 = -74*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 1903.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**1*s**(-1\/10)*s*(s*s*s**2)\/(s*s\/s**(1\/21)) assuming s is positive.\nAnswer: s**(1039\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 2\/5, 0.5, -0.1, -0.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002144 to seven dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + v**2 - 3*v + 1. Let k be w(-3). Let l be 6\/(-24) - (-6)\/k. Let y(a) = -a - 1. Let j(f) = -f - 2. Determine l*j(q) + 2*y(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 2*m + 52 = -4*k - k, -3*k + 3837 = -79*m + 211*m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 3*s - 6 + 0 = 0, 0 = 4*p + 5*s - 11 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 200311331031?\nAnswer: -200311331020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l + 5 = 18*l + 2*g, -4*l = -2*g + 6. Sort 2, l, -52.\nAnswer: -52, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3873, 4, -4\/15 in increasing order.\nAnswer: -4\/15, 4, 3873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184*-0.51.\nAnswer: -93.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*a + 44 - 44 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -19. Which is the closest to 0? (a) k (b) -0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 6:26 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2)*-1 - 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 4:01 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 85 - 88 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/(-110))\/((-6)\/10).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -125.7, -2\/47, 0.3, -2\/3 in decreasing order.\nAnswer: 0.3, -2\/47, -2\/3, -125.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-168)\/(-224))\/((-6)\/460)*2\/(-5). Solve d*m + 350 = -27*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-2) + (0 - 0). Let c(t) = -t - 3. Let f be c(-12). Let v be 32\/(-6) - f\/(-27). Sort w, v, -0.4.\nAnswer: v, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3887 + -5?\nAnswer: -4003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 84 + 5?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lbll when four letters picked without replacement from {y: 2, h: 3, l: 4, b: 1, t: 4}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 21*c - 75 = 16*c, 5*q + c = -17 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppp. Give prob of picking 4 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -a94 (base 12) in base 11?\nAnswer: -1191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 63 = 3*p. Solve 6*n = -2*w + n - p, 4*w = 4*n + 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8*6*2. Suppose -4*n + 3*n = s*o - 20, 8 = 2*o - 2*n. Suppose -5 + 13 = 4*z. What is the smallest common multiple of z and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 56820 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -65, -253, -565, -1001, -1561, -2245, -3053?\n\"Answer: -62*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -30453, -60920, -91383, -121836, -152273, -182688, -213075, -243428?\n\"Answer: z**3 - 4*z**2 - 30462*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f*l*m**2 - 5*f*l*m - 213*f*l - 3*f*m**2 + f + m**2 - 2 wrt m.\nAnswer: 6*f*l*m - 5*f*l - 6*f*m + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1618689, 3237381, 4856075, 6474771?\n\"Answer: a**2 + 1618689*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpp when three letters picked without replacement from {p: 7, a: 2, h: 4}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1182624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9864.454 + 0.1.\nAnswer: -9864.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eetpf. Give prob of picking 1 e and 3 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13907 = 16*h - 5933. What is the units digit of 3\/9 - h\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63d3 (base 15) in base 14?\nAnswer: 79ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -28.6315?\nAnswer: -30.6315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -4028636?\nAnswer: 3\/4028636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48 and -2.10008?\nAnswer: -100.80384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (50\/(-3))\/(22\/198). Let c = 240 + g. Let l = 98 - c. Solve -2*v = 5*r + 6, -2*v - 2*r + 2 = l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1253786, -1253785, -1253784, -1253783?\n\"Answer: w - 1253787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25204*y**6 + 67*y**4 + y**3 - 259901049*y**2 wrt y.\nAnswer: 3024480*y**3 + 1608*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 26*i**2 - 648*i + 1262. Calculate g(2).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 676 + -480. Suppose -k + 100 = 2*u, 0 = 4*u - 2*k - t + 12. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 24\/(-9))*-9. Let g(b) = -8*b**2 - 2*b + 10. Let n(j) = -9*j**2 - j + 10. Let c(p) = m*n(p) - 4*g(p). What is u in c(u) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 4e?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 7*i - 3. Let p be 2\/10 - (-11)\/(-5). Let s be q(p). Solve 3*f + 0 = 2*w - s, -3*f = -w + 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*f - 198, -22 = -f - 3*g + 8*g. Let s = 59 - f. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604186811 is divided by 154?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 37 - (-1 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by (-2 - 0)\/((-4)\/26).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 3*d - 2*d + (-2 + 3 - 2)*(-1 + 1 - 2*d))*(-4 + 4 - 2*d**2).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 10. Suppose 0 = -c*q + 3*q - 69. List the prime factors of q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57474 - -57474. Let i(w) = w**3 - w**2 - 5*w - 11. Let m(t) = t**3 - t**2 - 6*t - 12. Let u(k) = 6*i(k) - 5*m(k). Calculate u(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r**2 + 85*r. Let f(a) = 3*a. What is f(u(k))?\nAnswer: 15*k**2 + 255*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - d)*(2*d**2 - 5*d**2 + d**2) - d**3 - 2*d**3 + d**3 + d - d**3 - d + (2*d - 2*d + 2*d**2)*(0 - 2*d + 0) + 51*d + 10*d**3 - 51*d.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b + 3*b**2 + 2 - 2 + 3 + 0*b**2. Let q be f(-5). Suppose 4*z + p + 21 = 5*z, -2*z + 3*p + q = 0. What is the greatest common divisor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 - 0. Let w(o) = o**2 + 7*o + 5. Let y be w(-6). Sort 5, i, y.\nAnswer: y, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -327 - -426. Suppose -49 = -5*w + 2*u, -3*w - u + 6*u = -18. Calculate the highest common factor of w and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67166271461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 971376604 to the power of 1\/2, to the nearest integer?\nAnswer: 31167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 1078*p**2 - 26*p + 76. Let r be b(3). Round r to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + 0.3. Let x = 0.277 + -2.077. Let j = m + x. Is j bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 530 and 1263679.\nAnswer: 12636790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*a = 113*a - 330 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30161 is divided by 61?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/7)*i*i*i\/(i*i**10))\/((i*i**(-4\/13)*i*i)\/i**(-4\/5)) assuming i is positive.\nAnswer: i**(-5034\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n. Let x(i) = -5*i - 4*i + 8*i. Calculate u(x(b)).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2\/3 + 470*a\/3 - 2755684 = 0. What is a?\nAnswer: -2154, 1919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/(-112))\/((-8)\/(-7) + -2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 3*d**2 + 2*d + 3. Let q be 33\/(-9) + 10\/15. Calculate z(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 87. Let k = 24 + -36. Let g = k - -12. Calculate the remainder when c(g) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02684211164 rounded to 4 dps?\nAnswer: 0.0268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -24327.535 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 56 - 44 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 8. Let h = t - -3. What is the third smallest value in h, 1\/4, -1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 2*d + 4, -70*x = -74*x - d + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert a9b (base 13) to base 16.\nAnswer: 71a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60996993*b - 63217709 with respect to b.\nAnswer: -60996993","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - z + 0*z - 2*z + 4*z + (1 - 2 + 2)*(3*z - 2*z + 3*z) - 9*z + 10*z - 10*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9247 - 0.0753. Let o = 6 - 4. Which is smaller: o or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/15 and -55\/327.\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**2*i**3 - 20*b**2*i**2 + b**2*i - 8*b*i - b - 3*i**3 wrt i.\nAnswer: -12*b**2*i - 40*b**2 - 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 468664913 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -637*-105.\nAnswer: 66885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 36697550 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 720 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five thirds of a century?\nAnswer: 22000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*q**5 + 1357313*q**4 + q**3 - 60370489*q**2?\nAnswer: -2580*q**2 + 32575512*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21*12\/216*18\/98. Which is the fourth smallest value? (a) m (b) -0.7 (c) -3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 0 + 4 - -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ft when two letters picked without replacement from {w: 3, b: 1, f: 7, t: 4, e: 3}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3*m*m*m**(2\/5)*(m*m*m\/(((m\/m**(1\/2))\/m*m)\/m))\/(((m**(1\/2)*m*m)\/m*m)\/m*m))**9 assuming m is positive.\nAnswer: m**(288\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -7\/2*w**2 - 21*w + 1\/2*w**3 + 0. Calculate z(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 4*y - 21. Give m(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -14 - 4 - 15 + d + 45 - 10. Let s = -1 + 1. Determine m(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c + 2c6521?\nAnswer: 2c653d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1947466883 and -19479.\nAnswer: -1947486362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.66404 - 0.46404. Let a = 14 + -30. Are f and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/672 and 103\/149749712.\nAnswer: 898498272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -736622, -1473206, -2209730, -2946164, -3682478, -4418642, -5154626?\n\"Answer: 5*g**3 - 736619*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -129482176485 from 413.\nAnswer: 129482176898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.89 + 1270015402.\nAnswer: 1270015400.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1448)\/(-5))\/((-864)\/(-60) - 14). Is o less than or equal to 722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 355047606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 9253260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 983.362 years?\nAnswer: 11800.344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 758016 and 541440?\nAnswer: 3790080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 174652884 divided by -2449?\nAnswer: -71316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28545697483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 5*u + 2, -134 = -5*o + 3*u. Let m = o + -25. Suppose d + 3*z - 27 = -3*d, z - 25 = -4*d. Solve d = -m*q + 3*b, -5*q + b - 8 = -3*b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lccc when four letters picked without replacement from {r: 1, l: 12, c: 5}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 215 + -119. What are the prime factors of (s\/(-20))\/(3\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1715) + sqrt(2240)*-2 + sqrt(35))\/(4*sqrt(1008) + 1*-4*sqrt(7)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -3*j**7\/70 - j**6\/120 + j**5\/3 + 2269*j**4\/12 + 2828*j**2. What is the second derivative of p(k) wrt k?\nAnswer: -108*k**2 - 6*k + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*m - 5014 = -1456 + 2022 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 17. Let p = -8 + l. Let q(b) = -10*b. Let j(w) = -5*w + 6*w - 4*w + 2*w. What is p*q(h) + 15*j(h)?\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - c**2 - 7*c - 5. Let z(y) = -y**2 - 2*y + 34. Let t be z(5). Let l be d(t). Solve l*i + 5 = 5*j + 27, 2*j + 3 = -5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x + 0*x + 0 + 0 - 2*x + (-2 - 2 + 5)*(3*x - 5*x + 0*x) + 1 + 3*x - 1)*(x + 0*x + 0*x) + 0*x + 0*x - x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from {f: 1, w: 5, z: 1, i: 3, u: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3397 (base 13) to base 15\nAnswer: 2217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccf when three letters picked without replacement from cfcccfzfffcfffccccf?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 2. Let g be s(14). Suppose w - g = 3*y, y + 22 = w + 2. What is the highest common factor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-62469)\/66)\/(3\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408538643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8795 is divided by 160.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 446 + -316. Calculate the remainder when l is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n + 9*n - 12*n + n + 9 + n**2. Let p be t(-4). Solve 2*s - 17 = -p*r - 48, -s + 22 = -5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f + 5*f - 6*f)*(84*f**2 - 3*f**2 + 25*f**2)*(-3 + 3 + 2*f).\nAnswer: 2332*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkqmk. What is prob of sequence ql?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 2*b**5\/15 + 163*b**4\/6 + 1980*b**3 + 55404*b**2 + 104976*b + 787. Let r(k) = 0. Calculate k.\nAnswer: -54, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -63*d**2 - 165*d + 166. Determine r(-3).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -972.16 + 943. Let k = -29.07559 - s. Let q = k - 0.084. Round q to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-58)\/(-4))\/((-3)\/(-12)). Suppose -5*h + j - 13 = 5*b, 39 = 5*b - h. Let q(m) = -6*m**2 + 20*m - 10. Let s be q(2). Which is smaller: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 7:17 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.803 - 0.103. Put 5, c, -5\/2 in descending order.\nAnswer: 5, c, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -4195855.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*-1 - sqrt(190))\/sqrt(5) + sqrt(304)\/(sqrt(8)*-2))\/(sqrt(72)*2 + sqrt(72) + sqrt(72) - sqrt(50)*-2).\nAnswer: -5*sqrt(19)\/68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-84)\/(-35))\/(-4)*(-3 + 8). Put 1029, 0, j in descending order.\nAnswer: 1029, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715267 is divided by 9052?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 117.1588 - 117. Let x = 71.7412 + o. Let d = x + -72. Which is smaller: -41 or d?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-25) - (-124)\/180) + 2\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -0.7467916115?\nAnswer: -4.7467916115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/6*1)\/((-1)\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a hour in seconds?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/39 in -3\/7, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 716460?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + 1.45. Let k = g + 2.5. Suppose 2*i + 4 = -4. What is the second smallest value in k, i, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/38 + 567870\/(-8740).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 3. Let x = -1.6 + r. Which is the closest to x? (a) 0.5 (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 88 = -2*z. Let h = z + -15. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30033 (base 4) in base 14?\nAnswer: 3dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13198.\nAnswer: 2, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.367675ml to litres.\nAnswer: 0.004367675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(312) + 1*sqrt(312) + sqrt(312))\/sqrt(8))\/((sqrt(63)\/sqrt(3))\/sqrt(7)))**2 - 4*((sqrt(13) + 1)*-1 + 5).\nAnswer: 4*sqrt(13) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6167\/5 + -1233. Factor 0 - 6\/5*b**2 + i*b + 4\/5*b**3.\nAnswer: 2*b*(b - 1)*(2*b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/12 (b) 3 (c) -11603 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 319 and 701448?\nAnswer: 20341992","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 752 and 47959693?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -552, 3?\nAnswer: -552","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4*1*10. Suppose -5 = -u*p + 5. Let r = 47 - 33. Solve 0 = m - c, -3*m + 8*m + p*c = r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d - 4. Suppose 0 = 5*p - 31 + 16. Let h be z(p). Which is smaller: h or 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 6*g + 5. Let h be u(6). Suppose -11595 = -h*l + l + x, 3*l + x - 8705 = 0. Round l to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - t + 1. Suppose -n - 18 = 5*n. Determine h(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + q + 21 = 3*m, -2 = -q - 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/131990 and -41\/158388.\nAnswer: 791940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77)*-2 - sqrt(77)) - sqrt(77) - sqrt(77))*2 - ((sqrt(77) - -2*sqrt(77))*-6 + sqrt(77)))\/((sqrt(252) + 3*sqrt(252))*5*-4).\nAnswer: -7*sqrt(11)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 14, -3, 5386 in descending order.\nAnswer: 5386, 14, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 168071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g + 24*g + 2*g - 384. Let s(k) be the first derivative of -3\/2*k**2 - k - g. What is s(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**3*l**3*u**3 + 12304*i**3*u*y**3 - 2*i**2*l**2*y + i*l**2*u**3*y**3 + 2*i*l*u**3*y**2 + 86583*l**3*u**3*y**3 wrt l.\nAnswer: 6*i**3*u**3 + 519498*u**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/33606 and -50\/3613.\nAnswer: 121418478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*a - 59, 6*d - 2*d + 2*a = 54. Let h = -11 + d. Solve 4*y - 5*z = -32 + 4, 4*y - 4 = -h*z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 118 = 5*q, q + 3*d + d - 42 = 0. What is the remainder when 48 is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.07 and 2.128952519955.\nAnswer: 2.058952519955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(200))**2*2 + (-2 + 5*(sqrt(200) + -1 + sqrt(200)))**2)*6.\nAnswer: -8400*sqrt(2) + 72294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**2 - 3*v**2 + 4*v**2)*((-5*v + 2*v + v)*(-1 - 1 + 4) + (74*v - 62*v + 28*v)*(-4 + 4 + 2)) as r + o*v**3 + h*v**2 + m*v and give o.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p + 0*p + 11 - 19 - p**2. Let r be v(-5). Does 16 divide (-1)\/(4\/9)*r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-16) + (-3 - 15\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ococooouu?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -144?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 117 = 2*p - 617, 2*r = -5*p + 242. Calculate the greatest common factor of 63 and r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - a?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**12*m*m**15*m assuming m is positive.\nAnswer: m**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499 times 0.046?\nAnswer: 68.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 7640.\nAnswer: 1\/7640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58 + 28 + 2*b**2 + 33 - 3*b**2 to r + o*b**2 + x*b and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 4, -1, 7, -0.2 in increasing order.\nAnswer: -20, -1, -0.2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(-7))\/((-16)\/(4\/(-1))).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 243*n**2 - 817020*n + 686750700.\nAnswer: 3*(9*n - 15130)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27384 + 4*m - 27427 - 3*m.\nAnswer: m - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345 = -3*b + 3*p, -341 = -3*b - 0*p + p. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 - 0.29. Let j = 12 + -11.6. Sort j, 2\/3, z.\nAnswer: z, j, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3330*j - 236437. Calculate c(71).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 19*y**2 + 33*y + 8. Let h be f(-17). Calculate the greatest common divisor of h and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 6 = -4*i, 4*i - 27 = -7*u + 2*u. Differentiate h - 1 + u*h + 2 - 2*h with respect to h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1064694*r**2 + 2129325*r**2 - 1064630*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 13 = 1. Let v be (m\/(-5))\/((-9)\/6). Let x = -0.49 + 0.09. What is the nearest to 1 in x, v, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*i - 5 = 0, 2*o - i - 13 - 7 = 0. Let k be (o + 13)*107*1. Let n = k + -61609\/24. Find the common denominator of -31\/12 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 653, 2777, 6315, 11267, 17633, 25413?\nAnswer: 34607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7\/83 + -589\/1079. Put k, 2, -0.3 in decreasing order.\nAnswer: 2, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-138)\/(-60))\/23*-302. Let q = o - -31. Factor 12\/5 + q*x**2 + 16\/5*x.\nAnswer: 4*(x + 1)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -144.1 and -0.064?\nAnswer: 9.2224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 946 divided by -2.\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**3 + 207*i**3 + 78*i**3.\nAnswer: 295*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + 2. Let r be z(-3). Solve -r = g + 3*y, g - 4 = -g + 4*y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*q + 13*q + 27*q + 10*q + 46*q + 29*q.\nAnswer: -92*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, c: 1, m: 2, j: 2, a: 1, k: 1}. What is prob of picking 1 c and 1 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2190?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6567726 and 561?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2795 - -2794.6. Let u(s) = -s - 6. Let p be u(-4). Which is the nearest to p? (a) 2\/3 (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 1322*t**2 + 577600*t - 83520000.\nAnswer: (t - 522)*(t - 400)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -112.879087 rounded to zero dps?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k = -11*k + 95 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/5)\/i)\/(i\/(i\/((i*i**(-2))\/i))))\/((i*i\/(i\/(i*i**(-8)\/i)*i*i)*i)\/i*i*i*i\/i**5) assuming i is positive.\nAnswer: i**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24129, -24104, -24059, -23988, -23885, -23744, -23559?\nAnswer: -23324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 700*c - 5778. What is o(8)?\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 4*k**2 + 7*k + 3. Calculate p(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5582423*i + 2808459 wrt i.\nAnswer: -5582423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 979 - 229. What is the greatest common factor of u and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -11 - ((-6 - -3) + 4)*3. Let h be v - (1 - 2 - -2). Let r = 11 - h. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 5*j = q + 1, 0 = -3*q - 2*j + 10. Let x = -9 + 333. Let u be (-3)\/21 - x\/(-63). Sort u, q, -4.\nAnswer: -4, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {f: 3, c: 1, p: 7, i: 3, a: 2, l: 2}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-8)*8\/(-120)*5*-1*-39?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 235, 557, 1025, 1645, 2423, 3365, 4477?\nAnswer: 5765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/(-42))\/((-3)\/18))\/((-2948)\/(-10318)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 31203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-36)*o**(31\/5))\/(o**(-3\/8)\/o)**(-16) assuming o is positive.\nAnswer: o**(-259\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 30 = 5*x, -2*x + 2*a = x - 18. Suppose 3*l - x - 12 = 0. Solve 12 = -4*j - 4*h, -3*h - l - 3 = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -11*t - 14. Calculate k(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269220766?\nAnswer: 2, 19, 7084757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5512599 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by 12\nAnswer: -37\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (159\/(-6))\/((-5)\/10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 3 - 9 - 350422*h.\nAnswer: -350422*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40328 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 2*p - 2. Let y be t(3). Let x be (-1)\/(3\/(-9)) + y. What is x rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19, 0.5, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(-33))\/(g**(1\/4)\/g)*(g\/(g\/((g**(2\/21)\/g)\/g)*g))**(-31) assuming g is positive.\nAnswer: g**(10567\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w - 14*w = -31*w + 4*n - 36, 3 = -n for w.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + -2. Sort -2, 1, w.\nAnswer: w, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(2448) - (sqrt(2448) - (0 + sqrt(2448)))) + 3 - (-2*sqrt(2448)*1 + sqrt(2448) - sqrt(2448)))*-5*-5)**2*-1.\nAnswer: -495922500 - 4860000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 932663313.\nAnswer: 3, 53, 71, 27539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 5*w**2 + 7*w + 6. Let r be k(-6). Suppose -3*u + 8*u + 10 = r, 0 = 4*f - 2*u - 52. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**3\/8 + 87*i**2\/8 + 477*i\/8 - 567\/8 = 0.\nAnswer: -21, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -128 + 233. Let i(k) = 16*k - 1. Let p be i(1). What is the highest common divisor of g and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**7\/840 + j**5\/80 + j**4\/48 - j**2 - 2*j. Let q(h) be the first derivative of p(h). Factor q(r).\nAnswer: -r*(r - 2)*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2. Let n(t) be the second derivative of -15*t**4\/2 + t**2 + 230*t. Calculate l(n(c)).\nAnswer: -8100*c**4 + 360*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.95 - -4. Let y = 0.11 + w. Round y to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and 11.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 180*a + 4. Let d be p(14). Calculate the greatest common factor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 4*y**5\/5 - 5*y**4\/4 - 3*y**2 - y. Find the second derivative of s(g) wrt g.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**2 + 7 - 10*x + 13*x**4 - 5*x**2 + 7*x**4 - 23*x**4 - 6 to the form j*x**2 + d*x**4 + f*x**3 + p*x + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**3 - 6859*g**2 + 2455*g wrt g.\nAnswer: -6*g - 13718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3\/2 + 5953*s**2\/2 + 59380*s + 296650 = 0. What is s?\nAnswer: -5933, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - -185. Let c(s) = -110*s + d*s - 110*s. Let v(g) be the second derivative of -3*g**3\/2 + g. What is v(c(i))?\nAnswer: -63*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/46362213 and -131\/211990?\nAnswer: 463622130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 + 182 + 187 - 369.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p**2 + p + 3. Let m(c) = c**2 - 1. Let y(d) = 7*d**2 + d + 2. Let l(r) = m(r) - y(r). What is 6*l(n) + 5*s(n)?\nAnswer: -n**2 - n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -78605.2 rounded to the nearest 1000?\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-2)*(-349 + (-1 - -4)). Suppose -v - 4*i - 4 = -99, 5*v - a = 2*i. What is the remainder when v is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 72, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92\/3 + 31. Sort 0, g, -8 in increasing order.\nAnswer: -8, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -131771.\nAnswer: -15\/131771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -88, -0.0133, 3\/1322 in descending order.\nAnswer: 3\/1322, -0.0133, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71059419 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-118)\/15 - 24\/(-1440)*-8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2118391 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 12:51 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*d - 0*d + 3468000. What is d rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15055285*j**2*l**2*q - 2*j**2*q - j**2 - 2*j*l**2*q - j*l*q + 1697*j*l + 2*j + 2*l - 4*q wrt l.\nAnswer: 30110570*j**2*q - 4*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 6541?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -14816 = -14810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 390506 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3\/2 + 1323*g**2\/2 + 1971*g = 0 for g.\nAnswer: -438, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -377 by 180619.\nAnswer: -377\/180619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(17\/3))\/f**(-10)*(f\/(((f*f**(-5\/8))\/f*f*f)\/f))**(10\/11) assuming f is positive.\nAnswer: f**(2275\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -38*r**3 + 17*r**2 - 6*r + 600. Let y(x) = -40*x**3 + 18*x**2 - 7*x + 599. Let u(g) = -7*l(g) + 6*y(g). Find the first derivative of u(n) wrt n.\nAnswer: 78*n**2 - 22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*j + 34, -q - j = -5*q - 22. Which is bigger: 8 or q?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + w + 2*w)*(14*w + 21*w - 33*w)*(4 - 2 - 1) to the form b*w + d + o*w**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 18*x**2 - x + 13. Let v be w(18). Let t = -0.23 + 22.23. Let d = -20.4 + t. What is the nearest to -1 in -1, d, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1015*h**3 - 767*h**3 - 259*h**5 - 11 + 1782*h**3 + 223*h wrt h?\nAnswer: -5180*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14 from -2081462447.\nAnswer: -2081462461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 + 61.01. What is the fourth biggest value in -0.1, -2, -1\/4, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 60*t**3 - 33*t**2 + 6*t - 5. Let g(w) = -62*w**3 + 33*w**2 - 7*w + 6. Let o(a) = -5*g(a) - 6*l(a). Find the third derivative of o(y) wrt y.\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26564649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35351026831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 4*m**2 + 6*m - 2. Let d be a(5). Suppose -14 = -3*x + 7*x + r, -d*x - 2*r = 13. Which is smaller: x or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 13 = 88. Let b = -22 - c. Suppose -a = 2*p - 42, 134 - 26 = 5*p + 4*a. Solve -b*j = -8*j + p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -11 + (-2405)\/(-221) - (-956)\/34 and 191.\nAnswer: 5348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhuphuhhhhqhqqphqa. Give prob of sequence ap.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2717.4 minus 0.398?\nAnswer: -2717.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21700 + 35600. Suppose 21*r - n = -943. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**3 - 3*j**2 - 2*j - 2. Let c(m) = -57*m**3 - 57*m**2 - 39*m - 39. Let n(u) = 6*c(u) - 117*d(u). Find the third derivative of n(s) wrt s.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 263*c**2 - 93*c + 24467. What is k(263)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -475*u**2 + 1406*u**2 - 445*u**2 - 452*u**2.\nAnswer: 34*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, -1\/78, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.45 + -13.45. What is the closest to -5 in 5, l, -0.043?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n*n**(-23))\/n*n)\/n**5)**(-38))**(-20) assuming n is positive.\nAnswer: n**(-19760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 30*d**2 - 24*d + 95. Let o be f(31). Let q = o + -934\/3. Which is the nearest to q? (a) -1\/3 (b) 4 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 39, -11, 5, -1\/6, -102.\nAnswer: -102, -11, -1, -1\/6, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -575354?\nAnswer: 575357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**2*y**4 + 31*j**2 + 328*y**2 - 1 wrt y?\nAnswer: -8*j**2*y**3 + 656*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(-3)\/(-54) - 7\/(-9). Let h be 2\/(-10) + c*(-42)\/15. Put -1, h, -5, -4 in decreasing order.\nAnswer: -1, h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111 (base 2) in base 16?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + 6*i**3 + 4*i**3 + 2 - 2 - 2*i**3 + (-1 + 1 + 2*i**2)*(4 - 2*i - 4) - 2*i**3 + 2*i**3 - 2*i**3)*(-2 + 0 - 6).\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 8. Let m be h(6). Let q be (-3 - m) + (-1)\/(-1). Which is the closest to 0? (a) 2 (b) -0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 701*t + 16. What is the tens digit of m(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 943.7379m?\nAnswer: 94373.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -165 - -165.0237. Round h to 3 dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -177?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nypllypelps. What is prob of picking 1 s, 1 l, 1 y, and 1 n?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 997 + 10356. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -13. Let b be ((-144)\/27)\/(1\/a). Let m = 33 - b. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**4 + 2*b**4 + 0*b**4)*(-b - 2*b + 5*b) + 720 + 2*b**4 - 4*b**2 - 2*b**5 - 361 - 349.\nAnswer: -6*b**5 + 2*b**4 - 4*b**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.7663 - 74.\nAnswer: -72.2337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Is 3 a factor of (x + 2)*(-5)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 598896481?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u - 4*u**3 + 7*u)*(-3*u**2 + 3*u**2 - 2*u - u**2) + (u - 2*u + 2*u)*(8*u - 8*u - 6*u**4).\nAnswer: -2*u**5 + 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/68 and 99\/256?\nAnswer: 4352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - 0. Let u be 5\/(-50)*-25*(1 - 3). Which is the third smallest value? (a) u (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 56 + 91. Suppose 5*w - s = 74. What is the remainder when 75 is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -526 + 1832\/3. Let d = -503\/6 + c. What is the common denominator of d and 19\/33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 692 and 2422.\nAnswer: 4844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.03, 49?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 57 + n + 74 + 23 - 4*n + 3*n - 2*n + (-3*n + 0*n + n)*(-1 + 0 - 1) in the form k + s*n and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -31*v - 176. Is 25 a factor of t(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2818.7 - 2322?\nAnswer: -5140.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -16*k + 8. Let t(y) = -1. Let z(f) = t(f) + w(f). Let i(s) = -9*s + 4. Let n(h) = 7*i(h) - 4*z(h). Let l(q) = -7*q. Determine n(l(c)).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**3 + 8*j**2 - j**3 + 2*j**4 - 2*j**2 - 3*j**2 to c*j**3 + q*j + m*j**4 + i + x*j**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lu when two letters picked without replacement from utulluullltullullll?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10 and -30.99.\nAnswer: -20.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/4 of a hour?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7035076.\nAnswer: 2, 17, 103457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8, 34, 148, 370, 736?\n\"Answer: 6*q**3 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 999809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 961968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 95*c. Let z be d(2). Suppose 438 = -h - 5*i, z - 664 = h - 4*i. Find the common denominator of 53\/16 and h\/80 - (-14)\/(-35).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from pyypyhyyphppy?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224670398?\nAnswer: 2, 103, 163, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3*r - 19, -n + r + 13 = -4*r. Let s be 12\/(-14)*5\/(-2)*14. Suppose 15*f = 14*f + s. What is the remainder when f is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 401*p**7\/210 - p**5\/30 - 29*p**4\/8 + 47*p**2 - 1. Find the third derivative of i(b) wrt b.\nAnswer: 9624*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p - 30468 = -191037. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 362a (base 15) to base 3.\nAnswer: 120210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 181177.638543 from 0.5.\nAnswer: -181177.138543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -86, -171, -308, -515, -810, -1211, -1736?\nAnswer: -2403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -285 - -567. Suppose 3*h - 48 = y. Calculate the greatest common divisor of h and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*h + 3*k, -77*h + 79*h - 30 = k. Let t(j) = 2*j - 36. Give t(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 - 300?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05, -4\/3, -3\/8?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -54*d**5\/5 - 2*d**2 - 561*d - 749. What is the first derivative of g(p) wrt p?\nAnswer: -216*p**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23, 56, 121, 224, 371?\n\"Answer: c**3 + 10*c**2 - 4*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-168)\/(-27) + (-2)\/9. Suppose 5*d - p*d - 9000004 = 0. Let g be (2 + 10)\/3 + d. What is g rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*h - 81 - 12*h + 28*h + 0 + 0 + 2*h + (-3*h + 4*h - 3*h)*(3 - 1 - 1) - h - 2 + 2 + 1 - 1 - 2*h - h - 3*h + 2*h + (-8 - h + 8)*(4 + 0 - 1).\nAnswer: -6*h - 81","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**2*f**2*m**3 - 8*d**2*f**2*m - 14*d*f**2*m**3 - 2*d*f**2*m**2 - 3*d*f**2*m - 2*m wrt m?\nAnswer: 12*d**2*f**2 - 84*d*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**3 + 5*q + 4. Let k be ((-24)\/(-52))\/((-13)\/(-169)). Let f(r) = -11*r**3 - 14*r - 11. Calculate k*f(j) + 17*y(j).\nAnswer: 2*j**3 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-65)\/(-26))\/((-481)\/2). Let v = d + 15417\/2405. Find k such that -18\/5*k**3 - v*k - 8\/5 - 42\/5*k**2 = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*j - 1. Do 7 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 + 2500*z + 2503. What is t(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4423214 - 2.7561.\nAnswer: -1.3137786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (3 + 4) - -13\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 11:18 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/8 and 45\/1744.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*w + 20*w + 9*w - 19693 + 19693 + 9*w.\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 - c - 1. Let y(v) = -v**4 + v**3 - 6*v**2 - 35*v + 29. Let n(l) = 34*l + 1. Let k be n(0). Let h(s) = k*y(s) - 3*f(s). Factor h(d).\nAnswer: -(d - 4)**2*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 4*j**3 + 391 - 153 - 238.\nAnswer: 4*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**3\/3 + x**2\/2 + 11*x - 14. Let k be -1 - -1*(-2 - -3). What is the tens digit of p(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**10*q\/(q*q*q\/(q\/(q*q\/q**0*q)))*q*q**(-14)*q*q*q**16 assuming q is positive.\nAnswer: q**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*i = -3*v + 151*i, 0 = 3*i + 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15 - -342\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 16. Let u(m) = m - 6. Let i be u(6). Suppose 4*t + 0*t - 72 = 0. Calculate the lowest common multiple of t and l(i).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34 - 11?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(3\/11))\/q**(-1\/17))**39 assuming q is positive.\nAnswer: q**(9711\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from vvattettkxvxavk?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 - (-526 + 528 - (21 - -1)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 1 + 2*w**3 - 13 + 3*w + 6 in the form p*w**3 + x + l*w + s*w**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 675360000 = 2*r + 6*r. Round r to the nearest one million.\nAnswer: 169000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 11:57 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8\/25 + 106\/175. Let m = -0.074 - -1.574. What is the closest to o in 1\/3, -1, 0.1, m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -16*n**5 + 1492*n**4 + 7564*n**3 - 11392*n**2 + 2352*n = 0.\nAnswer: -6, 0, 1\/4, 1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + t + 7. Let u be c(-6). Let q = u - 42. Let f = 44 - q. Solve -4*i + 2*o - 7 = f, 4*o = 4*i + 28 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -22, 4, -1\/3, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 4\/(-14) + (-516)\/(-42) + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**3\/3 - h**2 + 3*h - 10. Let d(w) = 0. Calculate w.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -12\/91 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369914 is divided by 491?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*v + 16. Let j = -2 + v. Suppose j*u = -2*u. Solve m + m = u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2. Let w be d(5). Calculate the remainder when 57 is divided by ((-270)\/w)\/((-3)\/10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -8238, -0.5, -22 in increasing order.\nAnswer: -8238, -22, -0.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -5\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -596 - 7*k**3 + 594 - 34*k**3 + k**2 as w + t*k + q*k**2 + s*k**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, e: 6, z: 5, j: 2, p: 5}. What is prob of sequence jjp?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.01 - 0.01. Let a = 1 - b. Which is smaller: -1\/2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 86?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 2\/3*v**3 + 15*v - 5\/2*v**2 + 0 - 1\/12*v**4. Suppose 5*b + 16 = -y, 3*y + y = -5*b - 4. What is q(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3774\/(-2516))\/(3\/14)*3\/(-21)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 191527482 divided by -63842494?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80005408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - -0.2. Let m be 208\/(-3) + 8\/(-12). Let b = m + 143\/2. What is the nearest to 0.2 in -3, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) -6\/35 (c) -0.3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 25 = -0*j. Suppose 12*n - 45 = 27. Suppose 0 = 3*o + 2*m + n, -5*o - 3*m = -5*m - 6. Put 2, j, o in decreasing order.\nAnswer: 2, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-29)\/(p\/(p\/((p*p**(-9\/5)*p*p)\/p))*p*p)*(p**(-4)\/p*p)**(-40) assuming p is positive.\nAnswer: p**(644\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 1 + 1)*(6*p - 1 - 6*p - p**2 + 3*p**3 + 2*p).\nAnswer: 3*p**5 - p**4 + 2*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one fifths of a microsecond?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9163 + -9152. Let y be (-4)\/(0\/(-3) - 2). What is the closest to 0 in y, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**3\/3 - g**2 + 2. Suppose 0 = -7*x + 4*x - 12. What is the tens digit of l(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(243)*-4)**2.\nAnswer: 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(104)\/(sqrt(32)\/sqrt(4)*2).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (11\/(330\/(-4)) - 208\/40). Are -0.6 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-65) + (-30 - 3128\/(-104)))*(-3 - -10)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 10*u**2 - 11*u - 13. Let k be t(5). Let n = k + -184. What is the nearest to 2\/23 in -3, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1200 (base 3) to base 13.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 - 42. Calculate the greatest common factor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4988*h + 170 = -4993*h - 9*u, 3*h = 2*u - 139 for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3622952nm to centimeters.\nAnswer: 0.00000003622952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.017 + 1.017. Let y = 0 - 0.5. Let j = 791 - 787. Which is the biggest value? (a) v (b) j (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -739 smaller than -0.31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + j + 3. Let l be n(-3). Suppose -114 = -3*y + l. Let v = y + -28. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 3*p + 3*y, 2*y - 45 + 17 = 2*p. Let g be 1\/16*(-1244)\/3. Let a = g + 45\/4. Is a less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*t**4\/11 + 250*t**3\/11 - 382*t**2\/11 + 158*t\/11 + 10\/11 = 0. What is t?\nAnswer: -1\/18, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.00866 milligrams in nanograms?\nAnswer: 97008660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -8*r**2 - 13. Let q = -56 - -43. Let t(j) = 16*j**2 + j + 27. Let n(s) = q*v(s) - 6*t(s). Let y(a) = -a**2 + a - 1. Calculate n(w) + 6*y(w).\nAnswer: 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*f - 144 = 0. Does 6 divide (12 + 0)*(-8)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3149, -3151, -3153?\nAnswer: -3155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125715929*w**3 + 384809754.\nAnswer: 377147787*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-8))\/(((-49)\/(-896))\/(-7)). What is the remainder when 39\/(-1 + 4\/(f\/42)) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*f - 6922 = -5641. Let x(t) be the first derivative of t**5\/60 + 5*t**4\/24 + t**3 - t**2 + 2. Let g(n) be the second derivative of x(n). Give g(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2 (b) -0.3 (c) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 10:59 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 8392\nAnswer: 839.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -7968575.\nAnswer: 1\/7968575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 151868 and 6254?\nAnswer: 474891236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 103*z**2 + 52*z - 5277. What is r(103)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 280 - 324.82. Let y = 45 + p. Let a = y - 0.228. Round a to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00889041 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -92, -100, -108, -116?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -4\/7, -21, 2, 1.4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**3 - 48730*m**2 - 827115*m - 1459350 = 0. What is m?\nAnswer: -9729, -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -375382 + 375382 - 95*l**5 - 21*l**2 - l**3 + 171*l**2 wrt l?\nAnswer: -5700*l**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 2\/3, 23, -2\/7 in decreasing order.\nAnswer: 23, 2\/3, -1\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 119305.595965?\nAnswer: -119308.595965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/4*x - 3\/4*x**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -927\/10, -437\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-108708)\/(-90) + 2\/15. Suppose r - h = -2*r - 2*t, -814 = -2*r + 3*t. Is r a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*y**3 - 955*y**2 + 19*y + 394 wrt y.\nAnswer: -48*y - 1910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1532038, -1532041, -1532044, -1532047, -1532050?\n\"Answer: -3*y - 1532035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 5:12 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-26))\/(16\/(-64)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 53*c**2 - 100*c + 1603. What is w(54)?\nAnswer: -881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -58082.7523 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4448 and 171552?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216)*1*-2 - -1*-2*sqrt(1216))**2.\nAnswer: 19456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/40*-4 - (-2754)\/1530.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -298*z**2 + 70*z**2 + 74*z**2 + 2 - 2 - 3*z**2 + (-2*z**2 - 2*z**2 + 5*z**2)*(-1 + 3 - 4).\nAnswer: -159*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - ((4 - 6) + 13).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/470504 and 23\/30834?\nAnswer: 12703608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -51*(-5)\/45 + -5. What is the closest to -2 in 0, -3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**4 - 1220306*r**3 - 89092852*r**2 - 87872544*r = 0.\nAnswer: -72, -1, 0, 610226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1646, 3243, 4842, 6443?\n\"Answer: y**2 + 1594*y + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2097561 is divided by 312?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.1 + 11.1. Let f = s + 17. Let i = f + -24.2. Round i to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1576202.\nAnswer: 2, 19, 41479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 908*j + 103058.\nAnswer: 2*(j + 227)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 516*h - 579*h + 378. Calculate the greatest common divisor of h and 606.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three thirds of a decade?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 - -5?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 226388 by 4.\nAnswer: 56597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -17 + -5 + (-9 - -5) + 33.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34364741657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from ccmcmmmtmrcmrmco.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -974, -959, -930, -881, -806?\n\"Answer: z**3 + z**2 + 5*z - 981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 25. Which is the third biggest value? (a) 1\/4 (b) z (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 12. Let n = 96 - 68. Let y = -27.7 + n. Sort d, y, -3.\nAnswer: d, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 140452 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -3. Let c be (-1)\/5 + 130\/25. Solve -4 = -q*j + c*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-651)\/(-700))\/(-1) - (-2)\/(-8) and -39\/2?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 512709362?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*k + 3*m, 9*k - 6*k - 5*m = 14. Solve k*i + 14 = 10*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -14*t - 3. Let r = 354 - 358. Let z(g) = -5*g - 1. Calculate r*k(o) + 11*z(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6*w - 5*t = 25, 12 = -4*w - 4*t. Put 2, -3, w in increasing order.\nAnswer: -3, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*p = -7*p + 5, 0 = 2*p - 10. Let o(f) = 4*f**3 + f**2 - 1. Let c be o(-1). Let a be 8\/(-6) + 2\/(-3). Put c, j, a in descending order.\nAnswer: a, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 7522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -18*o**5\/35 + 6*o**4 + 316*o**3\/21 + 76*o**2\/7 + 22*o\/7 + 343. Let l(n) = 0. What is n?\nAnswer: -1, -1\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-71 - (-127 - -58))*46\/(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 9*a - 65*l = 190, -3*a - l = -0*a - 2*l - 18 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/67? (a) -2030 (b) -1\/4 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2844844139 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2568.3969 hours in days?\nAnswer: 107.0165375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7251\/11 + -659. What is the closest to 2 in 0.3, 41, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/(-6) + 13\/39. Suppose -26 = q + z. What is the remainder when (1 - 33\/5)\/(2\/q) is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3543057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13482 at least 13480?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 11*q**2 + 4. Let d be i(11). Put -1, d, -5 in decreasing order.\nAnswer: d, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4*n + 1)*(-1 + 0 - 4).\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 57320?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1556*z**2 - 758*z**2 - 1021*z**2 - 1935*z**2.\nAnswer: -2158*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 + -22 - 20) + 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 + -0.6. Let g = 0.2 - l. Let f = -54 + 59. Which is the nearest to g? (a) -4 (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 212664760 to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 39643*h + 118931. Give j(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 + 0.05. Let l = 0.99 + w. Is l > -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -3*g + 12, 4*g + 260 = -9*z + 299 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/10 + (0 - 0). Suppose j + n*j + 4 = -y, -3*j = -y + 8. What is the remainder when 113 is divided by (j*(-3)\/27)\/(8\/696)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -234, -0.73, -1, 0.44 in descending order.\nAnswer: 0.44, 0.3, -0.73, -1, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57524 + 3739196\/65. Let n = k + 4\/13. Find c, given that -n + 2\/5*c + 8\/15*c**2 - 2\/15*c**3 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 p, and 1 k when three letters picked without replacement from iikiyiykkypkikp.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 182.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 16, p: 4}. What is prob of sequence hp?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8584297539 + -8584297779.00000143. Let j = o - -240. What is j rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144\/5280*154 - (6 - 1)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214 - 214 + 6*r**2 - 2*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9711967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 22.9. Let s = 0.33134936 - 5.43131156. Let t = p + s. Round t to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386 (base 9) in base 16?\nAnswer: 41a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) 13 (c) 0.6 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2 - 6. Let z(i) be the third derivative of 0*i**3 + i**o + 0*i - 1\/8*i**4 + 0. Let c(m) = -m. Calculate c(z(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -10*j**2 + 0*j + 0*j**4 + 0 - 1\/60*j**5 + 0*j**3 - 1\/20*j**6. What is the third derivative of m(v) wrt v?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16848725 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 3*(sqrt(153)*-3 - sqrt(153)))\/sqrt(9)*-1*5 + -1.\nAnswer: -1 + 55*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10 = -5*i - 15, 2*i + 3 = c. Suppose -c*h + 4*h = 81. Let a be (90\/27)\/((-2)\/h). What is the greatest common divisor of 30 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - v**2 + 1 + 8*v**2 + 6*v - v**3 + 8. Let y be b(7). Let l(w) = 2*w**2 + 0*w**3 + 2*w**3 - 2*w**3 + 1 - y*w - 6*w**3. What is l(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 8:30 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**5 + 6*o**3 - 6*o**2 - 18*o - 6. Let l(m) = m**3 - m**2 - 1. Let v(z) = -6*l(z) + u(z). What is the second derivative of v(p) wrt p?\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22360?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 316443 and 313.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + y = -219 - 127, 4*h + 4*y = 296. List the prime factors of h.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37443512 - 112?\nAnswer: -37443624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 49*q + 1129. Let p be j(-23). Which is the nearest to 0? (a) -1\/2 (b) -1\/8 (c) 2\/157 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 10, 0.09, -375 in descending order.\nAnswer: 10, 0.09, -5, -375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1979? (a) -4 (b) 1 (c) 3\/5 (d) -1\/5 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6*f - 110. Determine t(22).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1020927\/621 - (-2 + 4). Let s = 1642 - g. Let a = -421\/1449 - s. Is a less than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57679797953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6384 and 819?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -2.37835?\nAnswer: 0.237835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2, -10, -18?\n\"Answer: -8*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9, -0.3, 1\/3, -36, -39 in increasing order.\nAnswer: -39, -36, -2, -0.3, 1\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 - 712*m - 19801. Determine c(-26).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23938.22 rounded to the nearest 100?\nAnswer: 23900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 68331632.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 160*i - 1272 = 0, -5*i + 5 - 4 + 12 + 19 = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**4\/3 - 1943*d. Let y(o) be the second derivative of -o**4\/4 - 2*o**2 - 6*o. Calculate g(y(p)).\nAnswer: -36*p**4 - 96*p**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 9*c = -8*c - 126, -m + c = -34. What is the remainder when 170 is divided by m + (-5)\/(-5) + -4?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52\/((-264942)\/(-24084) - (-66)\/(-6))?\nAnswer: 2, 3, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 227858 a multiple of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 - 47. Suppose 89986 = 3*l - 3*n - 30326, -y*n = 3*l - 120284. Round l to the nearest one thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4 - 4. Suppose 11 = q*r - 9. Let o = -0.0902 - -0.2902. Which is smaller: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/3 - 1114*a\/3 + 310249\/3.\nAnswer: (a - 557)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 4*c - 1. Suppose s + 5*s = 0. Suppose -4*j = -14 + 2. Suppose -j*r - 12 = -s*r. Give p(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20 and -114.\nAnswer: 2280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29 or 5?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 5*n - 3846 + 3817, 4*n - o = 13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -279\/3500 + -3\/500. Let w = 5\/7 - m. Which is the nearest to 0.1? (a) -0.1 (b) 0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*(-3 - 444\/10). Suppose -43 - s = -2*m. What are the prime factors of m?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 5*z**2 + 1914*z - 15130. What is r(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 190*w - 196*w - 1692. Let v = w + 262. What is the third smallest value in v, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49159830?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 47555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3 - 1)*(0*b - b + 0*b) - 5*b - 4*b + 5*b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 983.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, 165, 193, 239, 309?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 30 + 2*r - 4*r**2 - 56 + 30 - 2*r**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 234 + -127. Let f = i + -24. Let m = f + -83.53. What is m rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -80\/39, -2, -0.2, 1\/9 in decreasing order.\nAnswer: 1\/9, -0.2, -2, -80\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*39\/(-260) - (-116754)\/8. Suppose -157*k = -136*k - u. List the prime factors of k.\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 37 = 7*m. Let s(c) = -2*c**3 + 2*c**2 + 6*c - 2. Let w be s(m). Solve 2*x - 8 = -4*h, 2*x - 2 = -5*h + w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -ca0 (base 15) to base 7\nAnswer: -11211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 596.011 days in minutes?\nAnswer: 858255.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61346245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67313 divided by 83.\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -d + 20, 7 = -4*d - 9. What is the lowest common multiple of 20 and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 - 50*n + 90.\nAnswer: -50*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 1:01 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-21 + 12 - (-29)\/2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27012525 rounded to 4 dps?\nAnswer: 0.2701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 21.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007551288 rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2253 + -2252.7. Let n be (2\/5)\/(9 + 42\/(-5)). Let b be 0 - ((-1)\/3)\/(-1). What is the third biggest value in 2, o, b, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 10:41 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11218997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d - 9. Let v be k(7). Solve 10*o + v = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81*m + 7*m**2 + m**4 + 2 + 32 - 70 - 7*m**3 - 60*m**2.\nAnswer: (m - 12)*(m + 1)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 3*g + 25, n - 4*g + 1 = 6. Suppose 5*k + 15 = 0, n*z + 0*k - k = -82. Let w = 580 + z. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 10 = -i. Suppose -u = 2*s, -2*s + 3*s - 9 = -5*u. Suppose 4*f + 2*n = 90, 0 = -f + u*f - 4*n. Calculate the lowest common multiple of f and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*f - 25*f - 3*f = -k + 12 + 22, 198 = -3*f + 5*k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 6*i**2 + 1178*i - 104*i**2 - 1178*i in the form u*i**2 + l*i + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 19 = -2*z, 13*z = 8*z - 15. Let p be 0\/(0 - (-1)\/(-1)). Suppose b - 2*b + 4 = p. Put i, -4, b in ascending order.\nAnswer: i, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x. Let s(h) = -2*h**3 + 7*h**2 - 2*h + 1. Let c(l) = 3*b(l) - s(l). Let w be ((-10)\/(-15))\/((-1)\/(-6)). Is c(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 + 627 + -22)*(3\/6 - -1) is divided by 230.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252219821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 9*h**2 - 20*h + 19. Calculate n(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 1 + (-4)\/2. Suppose -4*x + t*h = 2*h - 60, -5*x = -2*h - 84. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -10*t + 41. Let w be k(15). Let z = -42 - w. Let a(j) = -z*j**2 + 35*j**2 - 3 + 12*j + 33*j**2. Calculate a(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 25*c**3 + 4*c**2 - 7*c + 4. List the prime factors of v(2).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 2*f - 2. Let v be a(3). Suppose 4*t - 3 = 81. Let y = v + t. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 4*d**2 - 2*d - 5. Let s be q(-4). Let c(o) = -2*o + 19. Let y be c(7). Which is greater: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3134989199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 23*a + 1 + 6 in the form c*a + z and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-3\/20))\/f)\/f**(-36) assuming f is positive.\nAnswer: f**(737\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**3 - p**3 + 5*p**3 + (-2*p - p + 4*p)*(5*p**2 - 5*p**2 + 3*p**2) + 5*p**3 + p**3 + 2*p**3.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6075 by -5.\nAnswer: -1215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5273 (b) -0.17 (c) -6 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.23911387093 - -1490.05321758093. Let s = c - 1487.7373. Let y = s - 0.0768. Round y to 7 dps.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(7) + 4) - (sqrt(252)\/sqrt(6))\/sqrt(6))**2.\nAnswer: 96*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1925 + 22*k - 36*k + 1602 to the form y + u*k and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/((-315)\/(-110)) + 3. Let s = 0.77 - -3.53. Let i = s - 0.3. Put i, f, 0.2 in decreasing order.\nAnswer: i, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893056 is divided by 23501.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*a - 2*a - 4*a)*(-36*a + 11*a - 38*a).\nAnswer: 126*a**2 - 63*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*d + 21. Suppose o = 2*u - 4*u - d, -3*o = 12. What is the greatest common divisor of u and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -827594610 divided by 5.\nAnswer: -165518922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48051 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38 and 4636?\nAnswer: 4636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -147 - -227. Suppose 0 = 2*p + 3*p - k. Suppose -m = 3*m - p. What is the remainder when m is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/132*7)\/(2062\/(-11341))?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 540394 and 1413?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, -47, 3\/7?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 795599 + 30445. Let i = 826046.500055 - y. Let g = 2.5 - i. Round g to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114989476 to the power of 1\/2, to the nearest integer?\nAnswer: 10723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*t = 39*t - 3*i - 1385, 4*i - 20 = 0. What is the tens digit of 16*(-12)\/7*t\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1950*r - 4410 = -107760 for r.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o = -5*m + 96, -4*o - 48 = -4*m. Calculate the highest common divisor of m and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(36) + -5*sqrt(1296))\/(sqrt(132)\/sqrt(11)*4).\nAnswer: -29*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 55*c - 24 + 15)*(3 + 2 - 3) in the form n + z*c and give z.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107\/2 - 52. Let i(h) = h - 2. Let q be i(4). Is q greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2029 + 2036. Calculate the highest common divisor of g and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 8662?\nAnswer: 17324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, g: 3, t: 5, y: 3}. What is prob of sequence tyyg?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 + 48*r**2 - r + 26. Let h be f(24). Let l = 56 + -391\/7. Suppose -s = -2*c - 1, s + 5*c - 2 = -s. What is the closest to s in l, h, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/6*15)\/8. Is -1 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2. Let u be (-30)\/2*3\/(-9). Let l(g) = -g**2 + 5191*g - 5191*g + 3. Let m(o) = -3*o**2 + 5. Let a(z) = u*l(z) - 3*m(z). Determine a(j(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73\/2 - -38. Suppose 3*f + 3*b = 183, -5*f + 255 + 50 = 2*b. Let r = 64 - f. Is j < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 8:16 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*c + 5, 0 = 5*c + h + 9 - 4. Let t be 2 + -2*(-4)\/(-2). Sort t, 3, c in descending order.\nAnswer: 3, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 233128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11242 + 40229 + 22199 = -898*v for v.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -556, -1106, -1652, -2194?\n\"Answer: 2*c**2 - 556*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 1:49 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c + 1697 = 1895 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -2*d**3 - 165567. Let w(b) = 8*b + 3. Let x(c) = -175*c - 65. Let f(o) = -130*w(o) - 6*x(o). Calculate f(u(n)).\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.16 - 34.16. Let b = -33.999991 - x. Round b to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 4*q - 4*q)*(-2*q**3 + 3*q**3 - 4*q**3) + 830*q**2 - 35*q**4 + 5*q - 830*q**2 to u*q**4 + n*q + s*q**3 + t + f*q**2 and give u.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 106 + -52aa?\nAnswer: -51a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62 - 64. Let x = 2981 + -14902\/5. Let l = 4\/39 + -10\/13. Sort l, x, 0.3, k in decreasing order.\nAnswer: x, 0.3, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*x - 3 = 33*x + m, m = -3*x - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) -2 (c) -0.04 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3790701 (base 10) to base 14\nAnswer: -709645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 197 = 4*t - 235, -41 = -3*h - t. Factor -3\/2 - h*q - 8*q**2 + 3\/2*q**4 - q**3.\nAnswer: (q - 3)*(q + 1)**2*(3*q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 11, 3, 1012.\nAnswer: 3, 11, 12, 1012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 1\/4 (c) 6 (d) 4 (e) 43 (f) 0.73 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7395)\/(-663) + (-4)\/26. Solve -4*l = 2*k - 8*l + 26, 0 = -3*k - l - a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1904328776?\nAnswer: 2, 7, 34005871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 14*g - 9*g + 29, -4*h = 2*g + 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1 - (-1651)\/8 - 297\/792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 12 = -4*t, -7*m - 12 = 4*t - 3*m. Let n be ((-2)\/23)\/(t - -2). What is the third smallest value in n, -4\/3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 41, 29, 13, -7, -31?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62600 is divided by 20858?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 78 = 5*a - 2*p, 3*a = 3*p - 51. Calculate the least common multiple of -16*(-3 + (-36)\/a) and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17118, -57626, -125138, -219654, -341174, -489698, -665226?\nAnswer: -867758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1016)\/(-15748) + (-2546)\/62?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.8118 to two decimal places.\nAnswer: -6.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -107*d**2 - 5\/192*d**4 - 1\/480*d**5 + 0*d - 1\/8*d**3 + 0. Solve n(y) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (138\/16 + (-309)\/(-824)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 + 4*f. Let t(r) = -6*r**2 - 6*r. Let l(m) = 5*c(m) + 4*t(m). Let d(p) = 9*p**2 + 7*p. Give 2*d(y) + 5*l(y).\nAnswer: -2*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*w - 4. Let q(o) = -3*o - 8. Let z be q(w). Let x = 18 - z. Calculate the highest common divisor of 48 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -7*v + 3*v + 5540, -a + 6946 = 5*v. Round v to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwm when three letters picked without replacement from mmmmwmwmmmwmmwmw?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 - 46. Suppose 4*x = -z*b + 39 + 13, x - 11 = -b. Solve 4*v - b = -2*q, 2*v + 0*v - 4 = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14814 + -4178. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 32)*(-15 - 2). Suppose -b + z = -54. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4422\/192 + -56 + (-159399)\/(-2848).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-11)\/(-6)))\/((-4)\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580 is divided by 188.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*w**2 - w**2 + 6*w**2 in the form k + i*w**2 + c*w and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2 - p - 3. Let d(y) = 5*y**2 - 2*y - 4. Suppose u + 11 = -4*f + 2*u, 0 = 5*u + 25. What is f*i(j) + 3*d(j)?\nAnswer: -j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -1\/6*v**4 + 0*v + 2\/3*v**3 - 1\/20*v**5 - 1\/210*v**7 - 40*v**2 + 1\/30*v**6 + 0. Factor m(u).\nAnswer: -(u - 2)**2*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -192 + 191.99842. Round a to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five eighths of a week?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.6508245mm?\nAnswer: 0.0000006508245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5656? (a) 2\/21 (b) 2\/7 (c) 0.4 (d) 4 (e) 0.5 (f) -3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88923794 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.23 + -0.23. Let f = 16 - k. Let h = -144.2 + 143.7. What is the third biggest value in f, -2\/5, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 - 184 + 91 - 10*a + 48.\nAnswer: -10*a + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63401?\nAnswer: 13, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/192)\/(-2*3\/(-18))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 157*j - 1072. Let y be b(-7). Let f(v) = -v**2 - 24*v - 24. Determine f(y).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 634*h + 12258 + 5494 = 0 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 10362 - 10362. Solve -4*w - 5*c = -3*c - 10, b = -c + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1793779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ryrrrrrr. What is prob of picking 3 r?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/5, 3\/4, 117, 2, -1\/9 in decreasing order.\nAnswer: 117, 2, 3\/4, 2\/5, 0.1, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 = -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*r - 83*r = -48. Solve -y = 4*c - 4, -r*y + 3*c - 8 = 5*c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6562 - 6562. Solve -47*y - 167 - 21 = n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = j + 5*m, -6*j + 5*j + 5*m - 13 = 0. What is the third smallest value in j, 4, -3\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2*r)\/r*r*r*r*r*r**(5\/2)*r)\/(r**(-5))**44 assuming r is positive.\nAnswer: r**(459\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a**3 - a**2 - 6. Let h(d) be the first derivative of d**4\/4 - d + 5. Determine -6*h(r) + i(r).\nAnswer: 2*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0307640646 and 4?\nAnswer: -0.1230562584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 13, -1, 342, 28 in decreasing order.\nAnswer: 342, 28, 13, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 greater than -2158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 638 = -q, 0*q - 156 = -v - 2*q. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x = 5*g - 163, -3*x - 1903*g = -1908*g + 76 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1472 (c) -2\/3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -277, -278, -279?\n\"Answer: -c - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4047, -0.1, -1365, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*g - g + 2 = 0, 4*h = -g + 13. Let o = 25 - 23. Solve j - o = -h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 4. Let f be z(-5). Let x = 5 - f. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-120) - (-3)\/(-18). What is the nearest to -0.1 in -2, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1629.4 + -1628.6787. What is h rounded to 2 decimal places?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 4*c - 7. Let j be s(-6). Find the third derivative of j*a**5 - a**4 - a**5 + a**4 - a**2 wrt a.\nAnswer: 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010100 - 1011001110010011?\nAnswer: -1011001010111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**4 - 10*d**3 + 5*d**2 + 10*d = 0. Calculate d.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104763 (base 8) to base 3.\nAnswer: 1210102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4 - 3 + 3*i - 1. Let x(r) = -9*r. Calculate l(x(u)).\nAnswer: -27*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(24)\/sqrt(32)*5)\/((2*(sqrt(72)\/sqrt(2) - sqrt(36) - sqrt(36)))\/(sqrt(864) + (sqrt(864) - -2*sqrt(864)) + sqrt(864))).\nAnswer: -225*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 260872.5l in millilitres?\nAnswer: 260872500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-12)*-6)\/(2*(-8)\/(-24))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29506 - 12806. Round u to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2139 from -48.\nAnswer: -2187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 734783 and 70?\nAnswer: 7347830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1644 and -4.\nAnswer: 6576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, e: 2, j: 4, b: 3, r: 4}. Give prob of sequence err.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2 - 2 + 2*g**2. Let c(h) = -3*h + 18. Let k(x) = -25*x + 36. Let o(z) = -2*c(z) + k(z). Give o(j(w)).\nAnswer: -38*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6781 + -170?\nAnswer: 6611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-50))\/((-35)\/175).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67740 divided by 6?\nAnswer: 11290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 2 + -14 + (29 - (-21 - -48)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 55637, 1 in ascending order.\nAnswer: -3, 1, 55637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**5 - 20*a**4 + 135*a**3 - 340*a**2 + 224*a = 0.\nAnswer: 0, 1, 4, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**3 + 7*h**2 - 4*h - 2. Determine z(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 4 = -4*g + 7*m, 0 = -4*g + 4*m - 28 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4575687 * 6.\nAnswer: -27454122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21493\/87 + -247. Let z = i + 245\/348. Determine t, given that 0 - 1\/4*t**4 + z*t**2 + 0*t**3 - 1\/2*t = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:12 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 - 34. Let b = 174 + l. Let u = b + 14. Does 25 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: What is (2 - -3) + (-1 - (-3 + 9) - -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -442343 - -11803480617\/26684. Let o = 1973911\/3762444 + h. Calculate the common denominator of o and -53\/18.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/6 - 97*p**3\/6 + p**2\/2 + 293*p\/6 + 97\/3.\nAnswer: -(p - 2)*(p + 1)**2*(p + 97)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16263 (base 13) in base 11?\nAnswer: -2974a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 839513, 1679029, 2518545, 3358061?\nAnswer: 4197577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 361 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -83, 2\/19, 0.1, 206, 100, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (25*(-72)\/(-2700))\/((-7)\/((-21)\/(-10)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 132 + 22)*((2 - 2 - 2*q)*(0*q**2 - 4*q**2 - 2*q**2) - q**3 - 8 + 8).\nAnswer: 1199*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 6:58 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 96.5 + -179. Let c = d - -83. Let a = 0.4 - -0.6. What is the nearest to c in 3, 2\/7, a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g + 0 + 36 - 4*g.\nAnswer: -g + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397 = 5*x - k, -3*x + 71 + 160 = 3*k. Calculate the remainder when 323 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 715791 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.8763 - 3.8763. Let m = 0.2 + -0.3. Let j = m + -0.1. What is the third smallest value in j, 8, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(5)*4)**2 + -2.\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065 times -0.4?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 17*150\/(-11900)*16\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 11 (b) 0.5 (c) 0.06 (d) 0.3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 4:08 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3 + 1 + 1 + 2*a. Let d be 247\/52 + (0 - 3\/4). Suppose -2*c - 7 = 3*v, 5*v - v + d*c = -12. Determine u(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 759233.\nAnswer: -15\/759233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 12, -0.137, 1, -47, -5?\nAnswer: -0.137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-32)*i)\/i**(4\/11) assuming i is positive.\nAnswer: i**(-334\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1692536 by -20.\nAnswer: -423134\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**12*f)\/f**(-4)*(f**(-4\/5)*f*f)\/((f\/f**(1\/9))\/f) assuming f is positive.\nAnswer: f**(914\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 323 = -93. Suppose -l + 284 = 5*t, t - d - 8 = -3*l. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/5840581?\nAnswer: 2\/5840581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 19. Suppose -3*s + v*s = 195. Suppose -m + s = 4*a, a + 6 = 2*m + 3*m. What is the lowest common multiple of a and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-252)*-14)\/(30\/4)*4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r + 52 + 8 = 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447245372?\nAnswer: 2, 7, 101, 167, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11142*u + 22327*u - 11174*u.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110 + -114. Let s = -10 - -5. Let c = p - s. Is c less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -4.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 92*i + 909. What is g(10)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q - 1. Suppose 0*z + 4*z = -2*m - 16, 3*m + 8 = -2*z. Suppose m*j = -3*j + s + 6, 5*j = -2*s + 10. Give p(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 5*z + 4. Suppose -59*x + 1709 + 2 = 0. Calculate the remainder when x is divided by t(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -8*j + 2. What is the remainder when 68 is divided by a(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1656 and 18.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1307.1552 rounded to the nearest 10?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + p + 3*p)*(3 + 2 - 4)*(4 + 4*p - 4).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p - 2*p - p + 5*p - 2*p - 5*p + (0 + 5 - 3)*(2*p + p - 4*p) - 2528 - 3282*p + 2528 to the form i + k*p and give k.\nAnswer: -3288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -196900.58 to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + 38. What is the units digit of (m - -5) + 6 + -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 4*b + 4*b)*((-4 + 3 + 0)*(4*b**3 + 3*b**3 - 5*b**3) + (4*b**2 - b**2 + 5*b**2)*(9*b + 8*b + 3*b + (-1 + 3 + 0)*(-2*b + 4*b - 3*b))).\nAnswer: -426*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/((-37)\/((-9657)\/145))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 5*n = 7*m - 9, 1 = -2*m + 3*n. Suppose -b + 6*p = p - 16, -36 = 5*b + 4*p. Sort m, 3, b.\nAnswer: b, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 - ((-1 - -3) + 3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ponp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1616070275 rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040.016 rounded to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 + 14*o - 13. Let n be b(6). Let j = 15 - n. Let t = 14 + -8. What is the remainder when j is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + i + 2*i + (0 + 0 - 2)*(-7*i - 2 + 2) + (-5 - 2*i + 5)*(1 - 2 + 0).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 0.7.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h - 4 + 4 + h - 3*h + 4*h + (4 - 2 + 0)*(3 - 3 - 2*h) + 3*h - 3*h + h in the form t*h + v and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -7. Sort -2, 3, i.\nAnswer: -2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 (base 9) in base 8?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1608789\/10 at most -160878?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 33*u**2 + 72*u + 65. Calculate g(-35).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 25 = 1. Suppose -i*c = -4*c - 6. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37793*z + 346 - 346 - 9662*z.\nAnswer: 28131*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h = 6, h = 2*c + 7. Suppose 2*m - 5*p = 19, -7*p - 22 = -5*m - 3*p. What is the nearest to -0.1 in c, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/2268663 < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, 1, -5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1384311 and -0.3?\nAnswer: 415293.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 a, 1 d, and 1 q when four letters picked without replacement from qdidaxq.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 16) in base 15?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 249852 + -22613. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**4\/24 + 5*k**3\/6 - k**2. Let m(z) = z**2 - 6*z - 7. Let j be m(7). Let w be f(j). Solve -4 - 16 = -w*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times -21670415\nAnswer: -216704.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 187 + -115. Let o be (-6)\/i*-8 - (-943)\/3. Let v = o - 161. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 362, 1448, 3258, 5792?\n\"Answer: 362*x**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -1403*y + 162691. Give s(116).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 360 - 96. Calculate the highest common factor of 24 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -8*r**2 + 3*r + 3. Determine j(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/78448 and 31\/19988?\nAnswer: 392004656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 459 divide 872559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/8364 and 101\/5576.\nAnswer: 16728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**4\/6 - f**3\/3 + 2*f**2 - 2*f + 136. Suppose 0 = -5*n + 5 + 5. Calculate w(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.599842 nanometers?\nAnswer: 0.000599842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (482 + 4)*4\/8. Suppose 5*i = f + r, 4*i = 8*i - 4*f - 188. What is the tens digit of (-5 - -1 - -1) + i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4 + 521*k - 2 + 7*k**2 - 262*k + 4*k**3 - 267*k. What is the hundreds digit of a(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 130*d**2 + 1. Let q be o(-1). Suppose 345 = 5*i + 5*x, 2*x = 2*i - 3*x - q. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -673.5?\nAnswer: -668.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3957628 minus -0.05?\nAnswer: 1.4457628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 0*z + 3 - 7\/2*z**2. Let u(w) = w. What is p(u(j))?\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**3 + 6*l**3 - 4*l**3 + (6 - 2 - 1 + 0 - 3 - 4 - 2 + 2 + 1 + (-3 + 0 + 1)*(-2 + 2 - 2))*(-3*l**3 + 7*l**3 - 3*l**3).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (242\/8*340\/1870)\/(-2)*20\/(-22).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldll when four letters picked without replacement from {d: 14, l: 4}?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 26*f + 3 - 26*f - 2*f**2 in the form o*f + k + j*f**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5311502.1 rounded to the nearest 10000?\nAnswer: -5310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 + -15.1. Let c(g) = -2*g + 18. Let o be c(8). Let h be (32\/120)\/(o\/5). Put z, 3\/5, h in decreasing order.\nAnswer: h, 3\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(891) - 5*(-3 + sqrt(891)))*6 - -2*sqrt(891)*-6*1))**2.\nAnswer: -57024*sqrt(11) + 1162480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 298, -169, 5, -7.\nAnswer: -169, -7, 5, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -317.9 and 0.0031.\nAnswer: -0.98549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjpb when four letters picked without replacement from {b: 1, j: 3, p: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-2\/3)*o)\/o)**26\/(o**(-1\/3))**(-30) assuming o is positive.\nAnswer: o**(74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7637\/3925 - 48\/157. Calculate the common denominator of -37\/8 and o.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -1754*h + 14126. Let b(s) = -s**3 - s**2 - 3*s - 3. Calculate the remainder when t(8) is divided by b(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*w - 22*w + 577 + 47*w as l*w + t and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 12*i + 116, 0 = -2609*n + 2610*n + i + 11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**3\/3 - 5*r**2 + 3*r - 42. What is the lowest common multiple of 12 and i(13)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74*t**4 + 975*t wrt t?\nAnswer: 888*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1421.3 - 1421. What is the biggest value in f, -0.5, -0.03?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 93 - 19. Let u = -460 + 488. Calculate the remainder when q is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 379.5682um?\nAnswer: 379568.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, p: 1, l: 1, e: 2, h: 1, a: 1}. What is prob of picking 1 h and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + 4*j - j + 1150 + 52*j - 1150 + (-4*j + 0*j + 3*j)*(-1 + 0 + 3))*(-5 + 1 + 4 + 2) as i*j + f and give i.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35332 and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1448, -11561, -39004, -92441, -180536, -311953, -495356?\n\"Answer: -1444*m**3 - m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 252433707.6174 plus 8.2?\nAnswer: 252433715.8174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 3:47 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.063, 5, -1\/4 in ascending order.\nAnswer: -2.063, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*q**3 - 15478834*q**2 + 26535360*q - 11372328.\nAnswer: -2*(q + 157949)*(7*q - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343640?\nAnswer: 2, 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 860 divided by -602?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 - 65. Is g*((-329)\/2)\/7 - -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g = -6138. Let d be (-6144)\/g - (-1 - 0). Let y = -64453\/4092 - d. Find the common denominator of y and 145\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 2.86, 0.65, 0.2, 1\/6?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153 by 695.\nAnswer: -153\/695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 1109*y**7\/7 + y**4\/2 + y**3\/3 - 14*y**2 - 3*y - 81. What is the third derivative of d(l) wrt l?\nAnswer: 399240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -46894 and -46894 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 z when two letters picked without replacement from {l: 3, f: 1, r: 5, z: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2468 * 40\nAnswer: -98720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 92429621 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 202969271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17034, 135852, 458322, 1086276, 2121546?\nAnswer: 3665964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 3:38 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**7\/630 + 2*c**4\/3 + 7*c. Let f(z) be the third derivative of i(z). Let m(p) = -p. Give f(m(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w. Let q(j) be the third derivative of 7*j**4\/12 - 25*j**2 - 9. Determine q(l(v)).\nAnswer: 70*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2 - 40*y + 94. What is q(-17)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l. Let p(x) = -74*x**2 + 1. What is y(p(j))?\nAnswer: -148*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 3*g + 2*g)*(397 + 416 - 201*g - 795)*(-g + 1 - 1)*(-3*g + 2*g + 3*g).\nAnswer: 402*g**4 - 36*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -148657972 and -7881.036?\nAnswer: 148650090.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1868274*m**5*n - 144*m**4*n - 9*m + 33511214*n + 2 wrt m?\nAnswer: -37365480*m**3*n - 1728*m**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzvmkvsmk. What is prob of picking 2 v?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + -2*sqrt(228))*4 - (sqrt(228) + (sqrt(228) + 1*sqrt(228))*1))\/((sqrt(132) + 1*(sqrt(132) + (2*sqrt(132) - sqrt(132))))\/sqrt(11)).\nAnswer: -7*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 411.8422 years?\nAnswer: 4942.1064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*f = f + 86, 0 = 5*s + 3*f - 236. Calculate the remainder when s is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169 - -0.7.\nAnswer: -168.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p*p**12))\/p*(p**(3\/16)\/p)\/p)\/(p**(-12))**(-2\/103) assuming p is positive.\nAnswer: p**(-24795\/1648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 9, -11 = 2*o - 2*g - 3. Let z be (12\/186)\/(8\/6). Let n = 41\/527 - z. Which is smaller: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 159*a + 162 + 315 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1291727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 33*h + 27. Suppose -5*i - 8 - 7 = 0. Let k = -17 - i. Is o(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 6:10 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48445529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 - 4*j**3 + 4*j**3)*(7 + 3 + 1).\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 8 + 8. Suppose -3*f = f - m. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.069 - 0.069. Let p = 0.57 - 0.57. Let h = 157\/4 + -39. What is the closest to p in 2, h, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 11:01 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*y + 28 = 0, 2*s - 3*y = -1 + 15. Sort s, -1, -5.\nAnswer: -5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 9*q**5\/16 + 271*q**4\/8 + 1233*q**3\/2 + 243*q**2 - 818*q. Suppose k(j) = 0. Calculate j.\nAnswer: -18, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 10 = s, -2*s - 4*n - n - 25 = 0. Let q(m) = -m**2 + m + 2. Let b(t) = 2*t**2 - 3*t - 3. Let z(i) = 2*b(i) + 5*q(i). Give z(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7504610 (base 10) to base 13\nAnswer: 1729ac9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*g + 21 = 0. Suppose s + 1 = g. Solve -15 = s*t + 5*q, q = 4*q + 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -353?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 236086338?\nAnswer: 472172676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1979 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34347 (base 8) to base 3.\nAnswer: -201222112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thhhettthhhehththee. What is prob of sequence et?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8765854 a multiple of 364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13 + (-26)\/2 - (-373169)\/28. Let m = l - 13331. Find the common denominator of m and -89\/98.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 5 + (-8 - -4) - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 560\/(-490)*1\/(-2)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16 + -0.16. What is the nearest to -1 in 0.3, k, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*l + 34 = 2*l, 5*i + 5*l + 215 = 0. Suppose -n + 3 = 5*w, w - n - 11 = 4*n. Let a be (w\/(-2))\/(4\/i). Sort -4, 1, a in decreasing order.\nAnswer: a, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -91.923 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2021 - -2058. What is the greatest common factor of f and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.51 - 33.41. Let c = g - -35.62. What is c rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04377 - -0.02623. Which is smaller: a or 8.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163668 <= 163668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d + 3 = 21*d + h, h = 4*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**2 - 69*z - 58. Determine i(15).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2217*m**2 - 159*m - 663. What is the thousands digit of d(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 7:13 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 2:40 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/5 (b) 0 (c) -33 (d) -11588\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302535.\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 154777072 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: Let v be 4*300\/54 + 2\/(-9). Put -1, v, -4 in increasing order.\nAnswer: -4, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2784427 divided by -100?\nAnswer: -2784427\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*(-1)\/35)\/((-88)\/(-44))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**6\/120 + b**5\/60 - b**4\/24 - b**3\/6 - 38*b**2. Determine l so that t(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + l + 3*l)*(8 + 2 - 1)*(-3 + 5 + 0)*(2 - 2 - 1).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-15)*1*9\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -28.82 * -45.66\nAnswer: 1315.9212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 7 = 2*l - 4 - 4, -29*l = -5*d + 83 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 87 (b) -3\/2 (c) -1 (d) 1.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584478?\nAnswer: 2, 3, 19, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 11*d**2 - 4*d**2 - 2*d**3 + 14*d**2 - 5.\nAnswer: -2*d**3 + 21*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - z + 2. Let n be m(1). Differentiate 38 + 49 + 0*i**3 - 34*i**n - i**3 wrt i.\nAnswer: -3*i**2 - 68*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 + 2 + 1 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q - t + 5 = 0, 3 = -t. Suppose b = -i + 14, 11 = -q*i + 3*b + 74. Suppose -29 = -5*m - f, 2*f = -5*m + i + 18. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 26\/5 of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xpjajuw. Give prob of picking 1 a, 1 w, 1 x, and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 56 = -4*q + m, 20 = -2*q + m. Let t = 0.064387 - 0.264387. What is the second biggest value in q, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -549 + 408. Let h = 4888.72 + -5027. Let w = h - i. Round w to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, -1\/3, 14 in increasing order.\nAnswer: -1\/3, 0.2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.86 - 0.14. Sort y, 0.4, 3\/2.\nAnswer: y, 0.4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/7))**(-41)\/(m*m\/(m\/(m*m**(-3)\/m)*m))**27 assuming m is positive.\nAnswer: m**(198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 - 38*h + 4. Calculate the remainder when u(24) is divided by 73.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/(-5))\/((-3)\/(-6)). Let d(a) be the first derivative of 3*a**2 - a - 2. Calculate the remainder when d(o) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*a - 4 - 6 = 0, -5*o + 5*a - 30 = 0. What is the third smallest value in o, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = -1949 + 389. Calculate the greatest common divisor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - s - 171 = 4*s, -5*x + 5*s + 935 = 0. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = 85*z + 393, 3*z + 28*s + 17 = 26*s - 38 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 7.939. Let u = 10.939 + h. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + 13 - (0 - 0). Let v be (4\/(-1))\/(423\/(-405) - -1). Calculate the greatest common divisor of q and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*o + 2*p - 38, -3*p = o - 662 + 663 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 17340 to the nearest one hundred.\nAnswer: 17300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 317835794?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2\/3 - 224408*n\/3 = 0 for n.\nAnswer: 0, 224408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12782969 * -20\nAnswer: 255659380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u = 31 - 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/4251085 and -23\/143295?\nAnswer: 12753255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/21)\/6)\/(59*11\/286209).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 290.1706 millilitres to litres.\nAnswer: 0.2901706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y = -162*y - 150*y - 1176 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2157504330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-3)\/9)\/((84\/21)\/(-24))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/4785 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*q - 51 = 0, q = -2*q - 12. Let v be b + -6 - (-8)\/2. Let k(g) = 2*g + 0*g - 6*g + 3*g. What is k(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/(-30))\/(580\/(-435))*((-120)\/9)\/(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -197*i**2 - 3*i**4 + 2*i**3 - 2*i - 205*i**2 + 0*i - 2 + 394*i**2 as h*i**2 + b*i**3 + a*i**4 + q + f*i and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*l + 3*z, 14 = l - 5*l - 5*z. Is -1\/272 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 6*x - 1. Let c(i) = -2*i + 4. Let n be c(0). Does 3 divide b(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51088665?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -89841, -179679, -269505, -359313, -449097, -538851?\n\"Answer: w**3 - 89845*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -273, -275, -277, -279, -281, -283?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdtt when four letters picked without replacement from {t: 17, d: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r**3 + 582*r**2 + 80*r - 268. What is x(-83)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 24. Let m(n) be the third derivative of 11\/12*n**4 - 1\/21*n**l + 17\/60*n**6 - 7\/10*n**5 - 3*n**2 - 2\/3*n**3 + 0*n + 0. Factor m(f).\nAnswer: -2*(f - 1)**3*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -13. Let u = 1 - v. Let f(j) = -j**2 - 3*j + 5. Determine f(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 8 - 3)*(-3 + n**3 + 3)*(1 + 0 + 2).\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2*k = 5, 2*v + 4*k = 6*v - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-51)\/(-6)*(1 + (-14)\/(-2)). Let g be -16*v\/16*-3. Suppose 5*t - g - 131 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 times -9322\nAnswer: 475422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 201 - 6?\nAnswer: 1fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -862 and -13506.\nAnswer: 11642172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 20*j - 192. Let p be n(10). Suppose 0 = -9*g - 51 + 78. Solve 4*s + 3*h + p = 0, h - g*h + 8 = -4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39720*t**5 + 1876*t**3 - 42339*t**2 + 1858*t wrt t?\nAnswer: -2383200*t**2 + 11256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k + 7*k + k = -42 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -184, -48, 3 in descending order.\nAnswer: 3, -48, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 971192?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*q + 4*r, -3293*q = -3290*q - 3*r + 21 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -236 divided by 22564.\nAnswer: -59\/5641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 10:34 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/30 - 1\/6. Which is the biggest value? (a) 2\/29 (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19650214 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 14*n - 16. Let t be k(1). What is the smallest common multiple of 16 and (78\/195)\/(61\/30 + t)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1595 + -2325.5. Let b = t - -730. Sort -1.6, 0.4, b, -1 in descending order.\nAnswer: 0.4, b, -1, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252435 (base 10) in base 5?\nAnswer: 310034220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -240*h - 568 - 780. Let x(z) = -z**3 - 5*z**2 + 5*z + 32. What is x(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 5:51 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*s = -65*s + 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.058 + 43.758. Let m = 43 - x. Let d = 28 - 23. What is the second biggest value in m, -1\/5, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/100 and 73\/1867734.\nAnswer: 93386700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 896760 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7943 - 25.8493. Let f = y - 1.085. Round f to zero decimal places.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1153978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*z = 0. Suppose z = b - 2*b + o + 8, -17 = b + 4*o. Let -6*d**2 - 8\/7 + 14*d**b - 48\/7*d = 0. What is d?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/23291? (a) 1\/7 (b) -0.4 (c) -11 (d) -5 (e) 6 (f) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 17)*-2 - 1. Let q = 54 + h. What is the remainder when q is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 5*p + 4*i, 103*i - 107*i = 3*p - 14 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 2 - (4 - -10)) + (2 - 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41 and 48.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-5) + 34\/10. Suppose 4*p - 8 = -2*t - 0, -5*t = -g*p - 7. Solve -5*d = -p + 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.796958 months to years.\nAnswer: 0.1497465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*j - 17*j - 209*j**3 - 72*j.\nAnswer: -209*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 - (-1 - (5 - 5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 340 = -s, -241 = 2*f - s - 71. Let c = f - -204. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -44*p + 1 + 20*p - 2 - 25*p. Let f(v) = -41*v + 116*v - 38*v - 36*v. Calculate f(r(x)).\nAnswer: -49*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3130, 24588, 82862, 196366, 383514, 662720, 1052398, 1570962?\nAnswer: 2236826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*h - 8175 - 584 = -6*h - 2099 for h.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18)\/(-10))\/(6\/20). Let y(h) = h**3 - 4*h**2 - 10*h + 8. Let x be y(a). Solve -x = -5*i - g - 2*g, -3*g = -2*i - 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3526964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9 - 48*x**3 + 45*x**3 - 49*x**3 + 22*x**2.\nAnswer: -52*x**3 + 22*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -963*y = -956*y + 7000. Let r(j) = j**2 - 7*j - 2. Let p be r(9). What is the tens digit of (-2)\/((p\/y)\/((-2)\/(-10)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 736014 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (734 + -732 + 1 + 14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 3*s - 1034694, 1034690 = 17*f - 20*f + 5*s. What is f rounded to the nearest ten thousand?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 4*y - 5. Let d be i(5). Suppose d*w - 2*w = -34. Let c = 28 - w. Calculate the remainder when c is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 - -66. Solve 0 = 5*z + 4*p - x, -7*p = -4*z - 2*p + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 364 and 2336256?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**4\/2 + 635*y**3\/4 - 310*y**2 + 615*y\/4 = 0. Calculate y.\nAnswer: 0, 1, 123\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/30)\/((-2)\/(-10)). Suppose 5*m + 4 = 2*p - 0, t*m - 2 = -p. Is (-13 + p)\/(4 - 21\/5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -5*w - 16, -340*w + 354*w = -5*d - 55 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 49591 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 478101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/10 + (-3)\/(-15)*-28. Which is the nearest to -2\/7? (a) p (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 9, v: 5}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6146241 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-386679)\/210 - ((-24)\/(-10))\/(-6). Let y = -1837 - q. What is the common denominator of y and -31\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -4. Let f = 0.08 + -0.24. Let q = f + 1.16. What is the closest to q in 4\/7, t, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 54056?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25005*j*w**3 - 4*j + 3772 wrt w.\nAnswer: -75015*j*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f3 - -8d?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 11 = -2*y, -5*y + 8*y + 2*q = -12. Is 10 a factor of y\/(-3) + (-138)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -270743, -542725, -814711, -1086701, -1358695, -1630693, -1902695?\n\"Answer: -2*c**2 - 271976*c + 1235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2310\/308)\/((-3)\/12)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4189040 and 1280?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -66, -4 in increasing order.\nAnswer: -66, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-554)\/120 - (-16)\/(-48) and (-22)\/4*(-3)\/(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b + 6*b - 60*b**3 - 22 - 21*b + 49 + 11*b in the form f*b**3 + z*b**2 + o + d*b and give f.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from {d: 1, s: 2, g: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37896 + 37896 - 529*a - 1832*a to i*a + h and give i.\nAnswer: -2361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*v**5 - v**4 + 3*v**2 - 53*v wrt v?\nAnswer: -1320*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1871670*w - 1871673*w + 4*l = 235, -5*w - 313 = 13*l for w.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1136003\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8738 and 2.\nAnswer: -17476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) 3\/34 (c) -1.1534 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = -176 - 44. Let p be 2\/(4\/(-57))*f\/15. Suppose 4*y - 5*n - 147 = 0, -63 = -2*y - 3*n + p. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/2)*y)\/(y*y**(-4)))\/(y\/y**(-2\/5)*y**11) assuming y is positive.\nAnswer: y**(-69\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -16019 (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is -353256 divided by 1190?\nAnswer: -176628\/595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 374, 1538, 3480, 6206, 9722?\n\"Answer: q**3 + 383*q**2 + 8*q - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2182508930.\nAnswer: 2, 5, 7, 31178699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 399668353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2. Let h be (w - 8)*2\/(-4). Factor -h*o**3 - 7*o**2 + 7*o**2 + 5*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-8)*(-5120)\/512\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-667)\/(-460)*-4*((-8)\/8)\/(3\/15).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122324 - -1?\nAnswer: 122330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*i - i - 2*i)*(3 + 0 - 2).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 454*f**3*i**2 - 434*f**3 with respect to i.\nAnswer: 908*f**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 1 (c) 13 (d) 31556\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 272 and 162928816?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 11) to base 2.\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 566 = 213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4 + 4 + 32*a.\nAnswer: 32*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + -244742?\nAnswer: -244732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(5 - 4 + 7)*(-2 + 2*c**5 + 2) + c**5 + 2*c**3 - 3*c**3 + c**5.\nAnswer: 34*c**5 - c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in -2\/15, 5, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.057 - -0.843. Sort q, -0.1, -0.4 in descending order.\nAnswer: q, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 51*k + 54.\nAnswer: -3*(k - 1)*(k + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 607146?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35378*k + j + 20 = 35391*k, j = -k - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -9. Suppose -2*s + 3*d = -33, s - 4*s = -f*d - 48. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/8, 5, 1, 2\/3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 36380, 1, -18 in ascending order.\nAnswer: -18, -3, 1, 36380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*(2 + sqrt(833))**2*-2 + 1.\nAnswer: 336*sqrt(17) + 10045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d**5 + 0*d**5 - 3*d**5 + (-2*d**2 + d**2 + 0*d**2)*(-d**3 + d**3 + d**3) + (8*d**4 - 4*d**4 + 0*d**4)*(-5*d - 2*d + d).\nAnswer: -23*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1061, 1985, 2909, 3833?\nAnswer: 4757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f + 53. Determine l(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*c - 28 = 8*i - 75*c, -4*i + 5*c + 7 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 0*l**2 + 0*l + 0*l**4 + 3*l**3 - 12\/5*l**5 - 12. What is the third derivative of t(o) wrt o?\nAnswer: -288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 953*h - 93906 = -24337 for h.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 60 = -2*x. What is the remainder when (12\/(-20))\/(2\/(-190)) is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 2. Let t(n) = -2*n + 3. Let u be t(4). Let q be z(u). Solve x = 4*v - 13, -v = q*x - 0*x + 13 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223 - 239 + 176 + 160 - 5*k**2.\nAnswer: -5*k**2 + 320","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15903 + -15902. Let i(m) be the first derivative of 0*m**2 + 20*m + a - 5\/3*m**3. Factor i(h).\nAnswer: -5*(h - 2)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btntnk. Give prob of sequence tn.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*k = 5. Suppose -98 - 12 = -k*d. What is the greatest common divisor of 110 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, q: 3, v: 3, j: 1, d: 3, c: 1}. What is prob of picking 1 j and 1 f?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 355467.6 millennia in years?\nAnswer: 355467600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 13*i - 131. Let c be r(-12). Sort 25, c, 5, 3 in increasing order.\nAnswer: c, 3, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 427*v**2 + 378*v.\nAnswer: 854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -156223 divided by 1\nAnswer: -156223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*sqrt(425)*1 - (sqrt(102) - 1*sqrt(102)*4 - sqrt(102) - sqrt(102))\/(sqrt(6)*-1*-4).\nAnswer: -35*sqrt(17)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 351 + -348. Let v = 14 + -12. Suppose 17 = 5*b + u - v*u, 5*u = -4*b + 2. Solve b = -o*y - 12 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-222)\/40*(-155)\/(-1116)*-6 - 5.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/11582 and 71\/57910.\nAnswer: 57910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 7 = 2*b, 25 = 4*d - 3*b + 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = f + 2*p, -2*p + 133 = -2*f + 3*p. Let m = 870 - 581. Let t = f + m. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 525 + -371. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k**2 + 1624*k - 77391. What is q(67)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 898.4284 + -899. What is u rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10704.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9*r. Let a(u) = 120*u - 53*u - 55*u - 3. What is a(n(q))?\nAnswer: -108*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111795 is divided by 39.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -15*p - 12*p + 27*p - p**2. Let f(i) be the first derivative of -7*i**3\/3 + 55. Determine f(k(q)).\nAnswer: -7*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n + n + 7 + 3*n + 5. Let b be t(-9). Suppose 3 - 37 = -3*f + 5*j, b*j + 15 = 0. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/10 - 224\/35. Let k = m - -15. What is the remainder when 35 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 316\/36 - (-2)\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 78630 to the nearest 1000.\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1031?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(13568\/(-48))\/(-53)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 - 993*v - 1.\nAnswer: -993*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - 54) + 45 - (33 - -4)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o + 18 = 0. Suppose -o = -3*r - 4*f - f, 0 = -f - 3. Suppose -3*j - 200 = -r*j. Calculate the highest common factor of j and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2089 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-3))\/(2\/(-6)). Let r = b - 3. Let v(f) = 1 - 1 - 2*f**2 + 7*f - 9*f. Calculate v(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -131, -146, -149, -134?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2207461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - s. Suppose s*f - 2 = -f. Calculate the lowest common multiple of 9 + ((-9)\/3)\/1 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-1)\/6*225\/10)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -20. Let m = h + -6. Let k = -2.5 + m. What is the nearest to 0.1 in 4, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s - 2*s)*(-338*s + 21*s - 81*s).\nAnswer: 796*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-4))\/v*v\/v**(-5\/4))\/(v**0\/v)**(-25))**(-41) assuming v is positive.\nAnswer: v**(3075\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 3*y**2 + 2*y**2)*(14*y - 4*y - 14*y + 2)*(2*y - 4*y - 3*y).\nAnswer: -60*y**4 + 30*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-106)\/(-6))\/((-30)\/(-180)))\/2. Which is the second biggest value? (a) -1 (b) g (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 30. Let o = g - 12. Let n = -1 + o. Solve -3*i + 6*i + 4*u = -2, 4*i - 3*u + n = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 6 - -3 - (19 - 15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54948 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2033833, 2033859, 2033901, 2033965, 2034057, 2034183, 2034349?\nAnswer: 2034561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*r - 2*r**2 + 2 - 43*r)*(146*r - 16*r + 25*r + 82*r).\nAnswer: -474*r**3 + 474*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4428929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000552558 to seven decimal places.\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -9*l**2 - 5*l + 6. Let k(u) = -3*u**2 + 6*u - 2*u + 11*u**2 - 5 + 0*u**2. What is 4*c(w) + 5*k(w)?\nAnswer: 4*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -2\/9, 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -645*z**3 + 1298*z**3 - 649*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.13918051 rounded to four dps?\nAnswer: -1.1392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f + 14. Give v(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by -461?\nAnswer: 27\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q + q - q**2 - 5*q + 6)*(0*q + q + 0*q)*(-4 - 4*q + 4).\nAnswer: 4*q**4 - 8*q**3 - 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196229257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14161.2 - -13531. Round a to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20231034 + 13?\nAnswer: 20231102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggc when three letters picked without replacement from {c: 4, a: 10, g: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*q - 12 = 4*q, q = -2*x + 15. Let d be (33 - x)*(-30)\/(-3)*118. What is d rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 2*q + 4. Let w be t(-8). Suppose 5*c - w = 8. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4329 and 1443.\nAnswer: 4329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 20*j - 11. Let d be m(-1). Let u(w) = w**3 + 31*w**2 - 41*w + 21. What is the tens digit of u(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020020201001 (base 3) to base 10.\nAnswer: -654427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 4*c. Let r be g(-3). Let u be ((-6)\/(-15))\/(r\/(-30)). Suppose -f + 0*d = d - 12, -u*f = -3*d - 76. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153\/324 - (-4)\/(-16)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.50015 + 257.43015. Round n to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*-62.\nAnswer: 1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 1:02 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 6*w**3 + 5*w**3 + 1.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((90\/(-116))\/(-5))\/((-2178)\/1452).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4026829754.\nAnswer: 2, 31, 64948867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 89 = 107 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1747509?\nAnswer: 1\/1747509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/1 + 1 + -2. Do r and -5 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1275295431?\nAnswer: 3, 5569, 76333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 0, 236.3, -0.01, -6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -54365*j - 434810. Calculate o(-8).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 7*v - 72 = 0. What is the common denominator of v\/936*(-36)\/8 and -107\/48?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/9)\/((-4)\/(-60)). Let m be 684\/60 + (-4)\/r. Solve -2*v - 13 = c, 3*v + 3*c = 4*v - m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i. Let l(n) be the third derivative of 2*n**4\/3 - 2*n**2. Let m = 86185 - 86179. Determine m*l(c) - 51*p(c).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*u + 84, -2*u + 3*c - 6 = 20. Let l be (12\/(-18))\/(2\/(-57)). Let j = l + u. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 737 - 733. Which is the second biggest value? (a) -24 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/102 and 61\/136.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, -25, -79, -185, -361, -625, -995, -1489?\n\"Answer: -3*h**3 + h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 1 + 3*j - 8*j + 4*j. Let n(k) = 3. Let l(y) = 6*i(y) - 2*n(y). Let o(u) = -2*u. Calculate o(l(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 13*c**4\/12 - c. Let j(u) = -4*u - 9. Let t(n) = 5*n + 12. Let b(d) = 4*j(d) + 3*t(d). Determine s(b(m)).\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928483 is divided by 439.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -26*f - 6. Let u(y) = -26*y - 5. What is -5*p(q) + 6*u(q)?\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2250 divided by 5\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*t**2*v**2 - 47*t**2 - v wrt v.\nAnswer: 102*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123112333 (base 5) to base 9.\nAnswer: -1111070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -168, 8, -4, 19, -16, 3, -5 in ascending order.\nAnswer: -168, -16, -5, -4, 3, 8, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1616319993?\nAnswer: 3, 67, 571, 14083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one eighths of a litre?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 9*k**2 - 14*k + 53. Let s be x(10). Let n(t) = -71*t + 2. Let y be n(-3). Let h = -98 + y. Calculate the greatest common divisor of h and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - -11 - (-9 + 3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/2))**(-47)\/(((f**(-4\/13)*f)\/f)\/(f\/(f**(-1\/9)*f))))**(11\/4) assuming f is positive.\nAnswer: f**(61567\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34100 divided by -8525.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -18, -26, -36, -48?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7587 + 7590. Let p(n) = -n**3 - 8*n**2 - 6*n + 7. Let l be p(-7). Solve 6*h = z*h - 3*o, l = 3*h - 2*o - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + w - 9. Is l(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11870 by 2374.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 8*h + 9*h + 18 = 0, 3*j + 6 = -h. Let 208\/21*v - 5408\/21 - 2\/21*v**j = 0. Calculate v.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a69 + -4?\nAnswer: 2a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13234 + -41?\nAnswer: -13315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 + 0)*(5*c + 0*c - 3*c)*(2*c**4 + 0*c**2 + 0*c**2).\nAnswer: -24*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29, -58, -87, -116, -145?\n\"Answer: -29*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*v + 12. Let n(m) = 11*m**3 - 6*m**2. Let y(p) = 21*p**3 - 13*p**2. Let h(z) = v*y(z) + 5*n(z). What is the third derivative of h(w) wrt w?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 635. What is the hundreds digit of o(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 5:27 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 459129, 459128, 459127, 459126, 459125, 459124?\nAnswer: 459123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -250093 - -1.\nAnswer: -250092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 545845504 or 545845503?\nAnswer: 545845504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 + 74. Put u, -0.3, 0, 5 in decreasing order.\nAnswer: 5, 0, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - 5 + 5 + (-3 - 2 - 2)*(-1292*n**2 + 462*n**2 + 585*n**2) + (-3 + 3 + n)*(-2 - n - 3*n + 3*n).\nAnswer: 1715*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 56\nAnswer: -56.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*b - 30 = 120*b. Let j(l) be the third derivative of 0*l**3 + 12*l**2 + 1\/5*l**b - 1\/3*l**4 + 0*l + 0. Find the second derivative of j(f) wrt f.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338 = 20*r + 82*r + 886 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oosdovco. What is prob of picking 1 c and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.2, 5262 in ascending order.\nAnswer: -0.5, 0.2, 5262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:44 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**4\/12 - y**3\/3 - 2*y**2 - 6*y. Let i be s(-4). Suppose 1092 = 5*u - 8. Calculate the highest common divisor of i and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 16*s - 159*s**2 - 35 + 14*s.\nAnswer: -159*s**2 - 2*s - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (1 + -1)) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 16) + -58 + 67 - (5 - (82 + 3)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1245960\/46 + (30\/345*-139 - -12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1200 and 36?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - 12*q**4 + 4*q)*(q + 10 - 10).\nAnswer: -12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226572923?\nAnswer: 17, 2351, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 25*g**3 - 113*g**2 + 735*g + 52. What is i(7)?\nAnswer: 8235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 - 20*y**2 - 23*y - 9. Let a be u(-9). Solve -2*l = -11*l + a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 + 16 + 0*u**3 - 8 + u**3 to k*u**3 + b*u + r + f*u**2 and give r.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1543.735 - -0.01?\nAnswer: -1543.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 73340 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -177 and -175 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**5\/60 - 2*u**4\/3 + 41*u**3\/6 - 24*u**2 - 2*u. Calculate a(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, h: 1, f: 1}. Give prob of picking 2 y and 1 h.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -32, -60, -92, -122, -144, -152?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 608 = 640. Let q(z) = -9*z + 38. Let g(w) = -5*w + 19. What is c*q(s) + 7*g(s)?\nAnswer: s - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-544)\/(-2584) + 35464\/(-589)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -2\/11, 0.3, 55?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*x - 79*x + 2984. Suppose x = 4*z - t, -2*z - 2*t + 554 = z. What are the prime factors of z?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144223 (base 5) in base 3?\nAnswer: -22111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*f, 4*q - 40 = -2*f + 490. Suppose 3*l - 219 = 54. Let b = q - l. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -17, -47 in descending order.\nAnswer: -17, -26, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5*(2 + -4 + 3*(sqrt(847) + -2 + 3)))**2.\nAnswer: 1650*sqrt(7) + 190600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -136\/3. Let u be 2 + ((-200)\/(-5))\/8. What is the nearest to h in -2\/3, u, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + -2c41?\nAnswer: -2c33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c + 48 = -4*c + 9*v, -7 = -c - v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4555*l**3 - 13*l**2 + 4553*l**3 + 2*l + 4*l - 4 + 4550*l**3 - 13655*l**3 as p*l**3 + r*l**2 + o*l + y and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-7)\/28*(-6 + 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -468*h + 217*h + 226*h. Let b(d) = 3*d. Suppose 3 = x - 2, 4*o + 2*x - 18 = 0. Let y(c) = 4*c. Let w(v) = o*y(v) - 3*b(v). Give w(u(j)).\nAnswer: 25*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*o**2 + 15*o**5 - 18*o**2)*(1 - 1 + 2).\nAnswer: 30*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 61*k**2 + 157*k - 275. Does 22 divide s(35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 117.341 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 36 = 46 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27414 is divided by 1523.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 496579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7295*k - 21918. Give d(3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 14) + 1 + 1 + -18 + 62.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6591 - -6590. Sort 1, 2, -128, 4, v.\nAnswer: -128, v, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 4. Suppose 3*o - o - 28 = a. What is the remainder when 40 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5523725 divided by -5\nAnswer: -1104745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ldiaadaddidk?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from {s: 2, p: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9022796 and 22489.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380616*a + 5*n = -380624*a - 15, -3*a = -3*n + 30 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*z - s, -z + 2*z - 6 = 3*s. Let k(w) = -w**3 - w**2 - 2*w - 3. Let q be k(z). Let p = 11 - 8. Solve 0 = p*y - g + 15, -y - q = 2*y - 3*g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 1. Let b = 124938 + -1126253\/9. Let h = b + 201. What is the third smallest value in 3, f, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiioililliiiinill. Give prob of picking 1 l, 1 i, and 1 o.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 6 - (2 + (0 - -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + (3 - 1))\/3. Let c be 1 + (q - 3) + 0. Is 1 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23966, -23972, -23974, -23972, -23966, -23956, -23942?\n\"Answer: 2*p**2 - 12*p - 23956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.606 - 0.646. Let s = -3.97569 + z. What is s rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9250*r*z**2 + 208*r*z - 35*r - z**4 + 1 wrt z?\nAnswer: 18500*r - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 148 by 37.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 + -72. Are 7 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.24582 meters in kilometers?\nAnswer: 0.07024582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 10*i - 56. Let x(n) = -n**2 + 15*n - 10. Let p be x(i). Suppose 3*z = 3*g + 273, 6*g + 4 = p*g. Calculate the remainder when z is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 164.2 - 164. Which is smaller: k or 27?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24463991, 48927967, 73391943, 97855919, 122319895?\n\"Answer: 24463976*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33.7 - -3.7. Let g = r + 30.17. Let p = 0.138 - g. Round p to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9710\/25*25\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6908 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 59 + (-8 - (20 - -57))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1046*h - 162*h - 19368 = -1217 + 94193 for h.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 + 26. What is the highest common divisor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3634*u**3 + 2*u**2 - 3679*u + 8. Let h(a) = 3*a**3 - a + 4. Let n(b) = -2*h(b) + s(b). What is the second derivative of n(f) wrt f?\nAnswer: 21768*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93867?\nAnswer: 3, 67, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6525*t**3*x**2 - 2*t**3*x + 6*t**3 - 845589*t**2*x**2 - 10*t**2*x wrt t.\nAnswer: -39150*x**2 - 12*x + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -369, -861, -1435, -2091, -2829, -3649, -4551?\nAnswer: -5535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-137560)\/(-384625) - 2\/17.\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7335b2 (base 12) to base 2\nAnswer: -110111001111010010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1945400 rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 2*n**2 + 4*n - 4. What is k(4)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 381 - 385. What is the nearest to h in 0, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13983543.\nAnswer: 3, 7, 241, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6183 is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - u - 2. Let g be f(-1). Suppose 15*l - 154 - 2606 = g. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.82 + 0.18. Which is the closest to -0.1? (a) q (b) 0.4 (c) -10 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/49*(3 + -2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 7:48 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 1 + (-1 - 1 + 0)*(4 + 1 - 1))*(o - 2*o - o) + 11 + 2*o - 11 to the form m + b*o and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -24 - 7*p**2 - 62860*p - 17 + 62859*p + 0. Let m(i) = -i**2 - 1. Determine h(g) - 5*m(g).\nAnswer: -2*g**2 - g - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 21*o**2 - 39*o + 19.\nAnswer: -(o - 19)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/7)\/(2720\/5712)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9499, 8494, 7479, 6448, 5395, 4314?\n\"Answer: -s**3 + s**2 - 1001*s + 10500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 650 or 290?\nAnswer: 650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.5505 times 3.6?\nAnswer: 124.3818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24800046*h*n**3 + 14390934*n**3 wrt h?\nAnswer: 24800046*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xggxxxxgxxxxxx. What is prob of picking 4 x?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 15 - (-1563 - -1608)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*g**(3\/5)\/g)))\/g)\/g**(11\/4)*g**6*g**(-18) assuming g is positive.\nAnswer: g**(-303\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, x: 9, k: 3, n: 1, r: 1}. What is prob of picking 2 x and 1 z?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1664)\/(-65))\/16*(10 - 0\/8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - s - 5*s)*(6*s**3 + 16*s**2 - 16*s**2)*(4 - 1 - 2)*(2*s - 5*s + 2*s).\nAnswer: 12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p = 55. Let w(f) = -6*f**2 - 1. Let s be w(-1). Let g = p + s. Solve -b - 3*n - 1 - 6 = 0, g*n = -b - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/8 and 113\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + -2 - -16) + -33.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 47*w**2 - 325*w - 363. Calculate d(-53).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/(-680)*(-29700)\/810.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeaeaeeeeaaa. Give prob of picking 3 a.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -33*g + 134. Let q be y(7). Sort -1, -4, q, 0.2 in increasing order.\nAnswer: q, -4, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -153.84 - -2511642.\nAnswer: 2511488.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**3 + 12*k - 15 - 4*k + 13*k**2 - 1 + 3. Let i = -17 - -23. Is m(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from gfgjll?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -78 + (-12 - (-7 + 42)) + 88?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1568, 4, 0, -3, -6 in increasing order.\nAnswer: -1568, -6, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s + 3*s**2)*(3224 - 2*s**2 - 3*s + 4*s**2 - 3119).\nAnswer: 6*s**4 - 9*s**3 + 315*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002244521 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**5\/60 - 5*o**4\/24 + 7*o**3\/6 - 4*o**2. Let f be n(-6). Let i(r) = f - 3*r - r**2 + 3*r + r. Give i(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -12*t**2 - 3*t + 1. Let a be o(1). Let y(x) = x**3 + 13*x**2 - 18*x - 19. What is the remainder when y(a) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-1*((-112)\/(-4))\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 2. Let g(p) = -3*p - 2. Let u(s) = -3*s + 4 + 0*s + 4*s - 3. Let o(v) = -g(v) - 2*u(v). Give i(w) - 3*o(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.039 - -0.039. What is the second smallest value in -2\/11, 5, 13, j?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3. Let f(o) = 8*o**3 + 0*o + 6*o + 10*o + 0*o - 15*o. Give -18*c(t) - 2*f(t).\nAnswer: 2*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, m: 2}. What is prob of sequence um?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 31 = -21 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 415 and 86345.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c - 2 + 2*c**2 + 2)*(97 - 126 - 74).\nAnswer: -206*c**2 + 412*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.0382654nm?\nAnswer: 0.0000000000000382654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 3:06 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.635 + -8. Let z = -30.435 + q. Let m = z + 35. Round m to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 66500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25, 53, 83, 115, 149, 185, 223?\n\"Answer: p**2 + 25*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 4\/9, 30.22, 0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5434, 10860, 16292, 21730, 27174?\n\"Answer: 3*n**2 + 5417*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 2:53 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 4*l = -6, 67*w - 62*w - 8 = 2*l for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210285990 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4 + 10370*d**3 + 155250*d**2 + 775750*d + 1292500 = 0 for d.\nAnswer: -5170, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 0*j - 7\/180*j**5 + 0*j**3 + 1\/36*j**4 + 0 - 4*j**2. Find k, given that w(k) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22473238, 44946478, 67419718, 89892958?\nAnswer: 112366198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 26*a**2 - 26*a - 11. Let m(d) be the third derivative of -5\/24*d**4 - 1\/3*d**3 + 1\/12*d**5 - 6*d + 0 - 2*d**2. Determine -11*m(r) + 2*w(r).\nAnswer: -3*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 8*k - 4. Let h be (-5)\/(-4) - 6\/(-8). Let t be h*(-15)\/12*2. What is the least common multiple of y(t) and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*y + 3403 = 268 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -3 + -7 + (13 - -1) - 18?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 + 1461*f + 24224. What is p(-16)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18467\/(-330) + 22\/(-33). Let s = 756\/11 + o. Calculate the common denominator of s and -97\/86.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2589*a + 910*a - 895*a.\nAnswer: -2574*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 999360 + -31.\nAnswer: 999329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 0*z - 5*z**2 + 13\/12*z**4 - 27 - 169\/6*z**3 - 1\/60*z**5. Let v(t) be the second derivative of f(t). Factor v(d).\nAnswer: -(d - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 4*s**2 - 2*s - 1. Let c be t(3). Suppose 3*i = c*i - 3*i. Solve 3*h + v + 12 = i, -2*v = -2*h - 2*h - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.18 - -0.18. Which is the closest to y? (a) 2\/7 (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 2:41 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - (-3)\/(-9))*3. Let s(n) = c*n**2 - 2*n**2 - 2*n**2. Let w(m) = -2*m**2. Determine s(w(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2729022360 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7667.\nAnswer: 11, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 199\/1195590 and -43\/220.\nAnswer: 2391180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 - 13)*(-2)\/6. Let l(g) = -g**3 + 3*g**2 + g - 3. Let x be l(m). Solve -3*h = x*r + 6, 0 = 2*r + h + 2*h + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -650713289, -650713287, -650713285, -650713283?\nAnswer: -650713281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 123 + 42 = 22*y. Solve -12*k = y*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -19. Let q = -14984\/5 - -2997. Which is the third smallest value? (a) r (b) q (c) 0.5 (d) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -37275 (b) -5 (c) 0.2 (d) 0 (e) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**5 - r**5 - 2*r**5 + (-r**3 + 2 - 2)*(r**2 - 4*r**2 + r**2 + (-4*r - 2*r + 5*r)*(-3*r + 6*r - r) + 1 - 1 - 2*r**2 + r**2 + r - r + 3*r**2 + r - r).\nAnswer: 3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - 0) + 1574 + -1559 + -1 + (-17 - 2).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-194388)\/18 - (-2)\/(-3). Round m to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 284*o + 3323 + 1221 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-2))\/((-6)\/12 + 1). Let y = 24 - 14. Let g be (-2)\/y - 244\/(-20). Solve 0 = -c - 4*w + 3*w + i, -2*c - 4*w + g = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) -1\/5 (b) -1.1 (c) -50 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 190894 = -2*q, 6*f - 2*f = 5*q + 477268. Let w = -41452 - q. Suppose -2*j - j = w. Round j to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 2 - 1)*(1 + 4 - 6)*(0*k - 3*k**2 + 0*k).\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6174021?\nAnswer: 3, 7, 294001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*i - 414 = -113 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0 (b) -0.2 (c) 5 (d) 4 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/13 + 2 - 48\/26. Let i(q) = 20*q**3 + 12*q**2 + 13*q + 7. Let g(u) = 14*u**3 + 8*u**2 + 9*u + 5. Let p(l) = -7*g(l) + 5*i(l). Calculate p(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -249 + 253. Suppose -j*k + 15*k + 388300 = 0. What is k rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-264)\/(-27) - 6\/(-27). Let l be (3 - 4)*-5*2. Calculate the highest common factor of l and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4976 or -5208?\nAnswer: -4976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 6:34 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2057) + -3*sqrt(2057) + sqrt(2057)))**2 - sqrt(2057).\nAnswer: -11*sqrt(17) + 18513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 151383 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28841 + 110249 = 53*n. Which is bigger: n or 4612\/3?\nAnswer: 4612\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 2:22 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -488857 (base 13) in base 15?\nAnswer: -2435aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(3)*2*-1 + (sqrt(75) + sqrt(75) + -1 + sqrt(75))**2) - (-3 + ((4*(sqrt(3) - (sqrt(3) + sqrt(6)\/sqrt(2))))**2 - (-1 + sqrt(3) + 5))).\nAnswer: -95*sqrt(3) + 1987","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**2 - 12 + 12.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2. Suppose -4*k + 4 = -4. Let p(t) = -5*t + 2*t + k*t + 2*t. Give c(p(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 11:15 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*l = -1954 + 1414 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - (-3*sqrt(176)*4 + sqrt(176) + sqrt(176)) - sqrt(176)) + 2 + -3)**2.\nAnswer: -80*sqrt(11) + 17601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-6*-2*sqrt(475) - (-2 + sqrt(475) + (sqrt(475) + sqrt(475)*2 - sqrt(475)) + sqrt(475))) + 3*(2*sqrt(475) + -5) + -1)**2.\nAnswer: -1960*sqrt(19) + 93293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 609441 divided by 203147\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqe when three letters picked without replacement from eeeeqeeeeeeeeeeqeeee?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 926846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 z, and 1 f when three letters picked without replacement from {f: 2, v: 1, z: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 809825*m + 809799*m - 1619646*m.\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 9*n + 11. Let k be d(8). What is the greatest common factor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from jyjcjrrrrcrrrrrr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85*l*p**2 - 1331*l*p - 6*l + 143*p**2 wrt p.\nAnswer: 170*l + 286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 366880 and 242240?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(24\/714) + -5*1. Let g = 275 + x. What are the prime factors of g?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 7. What is the closest to 0.1 in -4, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-12)*((-60)\/(-8))\/(-5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 452*j**3 - 3*j**2 + 4*j - 3. What is the tens digit of i(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -2041)\/(5 - 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 8.2, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 216?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 30*o - 3. Let p(f) = f**2. Give s(p(v)).\nAnswer: 30*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, y: 1, f: 2, e: 1}. What is prob of sequence fe?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**3 + 64996*u**2 - 146331680*u + 89204506688 = 0.\nAnswer: 1276, 13697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 123*b**3 - 138*b**3 + 171*b**3 + (1 + 2 - 2)*(3*b**3 - b**3 + 0*b**3) as l + a*b**2 + j*b + c*b**3 and give c.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41794644713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1326469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2 + -2 + sqrt(343))**2 - (sqrt(343) + 2*sqrt(343) + sqrt(343))*-5).\nAnswer: 84*sqrt(7) + 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -6. Suppose 4*h + v = 12. Is (1 - h)\/((-10)\/1910) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43140*y**2 - 86282*y**2 + 43142*y**2 + 17*y**3.\nAnswer: 17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -175.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + sqrt(448) + -4 + 1 + sqrt(448) + (sqrt(448) - (-1 + sqrt(448)*-5)))**2.\nAnswer: -288*sqrt(7) + 36292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.49 * -7015\nAnswer: -3437.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = h - 55. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 0*w = -28. Suppose 171 = 3*r + 2*x + 12, 212 = w*r + 5*x. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-126)*-50 + (0 - -3)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22687853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -126.82555 + -47.4\nAnswer: -174.22555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 659459 or 659458?\nAnswer: 659458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.6442952 milliseconds?\nAnswer: 644295.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 709662912 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/3914 and 55\/38?\nAnswer: 3914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**2 + 385456328*l + 385456324 = 0. Calculate l.\nAnswer: -96364081, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) -5 (b) 25 (c) 0.174 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 263 + 10*l - 524 + 261 + 4*l - l - l - 4*l - l - l + (4*l - 4*l + 2*l)*(-1 + 3 - 4) to x + d*l and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 183*b - 548*b + 51*b - 317*b as d*b + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -2 + 5 - 0. Suppose v*r = 143 - 23. What is the highest common factor of 20 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41586 = 187*p - 27000 for p.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1054 and 408?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, b: 1, z: 1}. Give prob of sequence bw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m - 2. Calculate q(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 0, -2*w + i + 3 = 1. Let f(h) = -w - 6 - 4*h + 7. Let s(o) = -o. What is f(s(x))?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 171*q - 63. Let f be i(4). Let p = f - 246. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20 + (-2431)\/(-119))*(-14)\/(-6). Let v be (8\/3)\/((-2)\/54). Put v, q, -4 in decreasing order.\nAnswer: q, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (28\/(-6))\/((-2)\/(-6)). Let y be (-6)\/21 - 284\/r. Suppose -z = z - y. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 1342 + 518. Suppose 0*u = -2*u - y. Let n = u - -300. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 567*o**3 - 18*o**2 - 78530*o.\nAnswer: 3402*o - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3 + -3.7. Let d = 1 + -3. Let t = h - d. Which is the third biggest value? (a) 4\/5 (b) 2\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 236693 + 0.1.\nAnswer: 236693.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 - 0) - (-6 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 56a + a3?\nAnswer: 60d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2.8. Let f = 2829\/8 + -354. Let l = -249 + 245. Sort 6, l, f, t.\nAnswer: l, f, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 6) + 3 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 222864?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 - 6535326?\nAnswer: -6534921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2074?\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -3*y**4\/4 + 4*y**3\/3 - 7*y**2. Let p be u(4). Let k = p + 111. Does 25 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 + 0*d**4 - d**4 + (1 - 1 + 2)*(4*d**4 + 2*d**4 - 4*d**4) + d + 3*d**4 - d + (0*d**2 + 0*d**2 - d**3)*(-3*d - d + 3*d).\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 - 47*a**2 - 33 + 10 to b*a**2 + h + v*a and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 12 - 6. Let c be h\/(-4) - (-2678)\/104. Suppose -k - 122 = -397. Calculate the highest common factor of c and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 163*i**2*v + 101*i**2 - 3 wrt v?\nAnswer: 163*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/31)\/(j**(-5\/4)\/j))\/(((j*j**(-3\/8)*j)\/j)\/(j\/j**(-40)*j)) assuming j is positive.\nAnswer: j**(10827\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-2)*(-48)\/(-336)*(-3255)\/30\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8797, 4, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 709833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/15, 0.3, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1645)\/987)\/(15\/486).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w - 4. What is y(13)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -14 + 16 - 6*7\/(-14). Solve -2*h = l - 4*h + 5, 3*h - 4 = v*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.46 + 0.267877592.\nAnswer: -0.192122408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.505266 micrometers to centimeters.\nAnswer: 0.0004505266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 + 97*l**2\/4 - 36225*l\/2.\nAnswer: l*(l - 225)*(l + 322)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1230 + -1221. What is the lowest common multiple of o and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/(-476)*(-133)\/(-114).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11160 and 2008800?\nAnswer: 2008800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -757, 608, 1973, 3338?\nAnswer: 4703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077550\/(-690)*(-3)\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s**(-2\/9)\/s)))\/s*((s*s**8*s*s)\/s)\/s*s**7\/s**(-3\/11)*((s*s**3)\/(s\/(s\/((s**(-1)\/s)\/s))))**(1\/26) assuming s is positive.\nAnswer: s**(39433\/2574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 142809959 + -1?\nAnswer: 142809958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-33*64\/(-10560)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*f**4 - 5*f + 5*f + (231 - 160 - 120)*(f**4 - 4*f**4 + 4*f**4).\nAnswer: -56*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*(-6*(sqrt(208) + 0) + -2*-2*sqrt(208)) - (-1 + sqrt(208) + -5*(1 + sqrt(208)) + 3))**2.\nAnswer: -81554 - 672*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -0*m - 5*m + 494705, -4*m + 395758 = -w. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -541264 - -2?\nAnswer: -541262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13063.\nAnswer: 13063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/14? (a) -0.05 (b) 5 (c) -3 (d) 66 (e) -20 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86225 and 1625.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -4. Let y = o + 4. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 11. Let s(u) = -u + 13. Let n(z) = -5*q(z) + 4*s(z). Let l(c) = -c + 11. Let v be l(8). Suppose -v*a = -3 - 6. Give n(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228371585, -228371583, -228371581, -228371579, -228371577?\nAnswer: -228371575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + m. Suppose -g + 5*g + 3*d - 30 = m, 5*d - 40 = -5*g. Let v = 10 - g. Solve -3 + 0 = -n - v*j, 18 = -2*n + 4*j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*w - 1072 - 240*w - 2*w**2 - 488 + 128*w.\nAnswer: -2*w**2 + w - 1560","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (0 - 8) - (-248 + 292)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17100 divided by -8550?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/8)\/((-1)\/(-12)). Let f = p + 8. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -107*l**2 + 0 + 104*l**2 + 0. Let y(v) = -3*v**2. What is y(t(x))?\nAnswer: -27*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004464 rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 13534*q + 216798. What is z(-16)?\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, 11 in decreasing order.\nAnswer: 11, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*g = 14, 0 = -g - 4*g - 5. Let m = 13 - n. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.84 + 0.16. Let l = -5 + h. Let k = 4.92 + 0.08. Which is the biggest value? (a) k (b) -2\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + 77 + -93 + -32.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxqumxbxzqmbmqzb. Give prob of sequence mm.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*l = -267*l + 12*l - 7718 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 + 235. Suppose -q = -6*g - 41. What is the remainder when 67 is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(13) + sqrt(78)\/(sqrt(30)\/sqrt(5)) + -1)**2.\nAnswer: -4*sqrt(13) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17919 smaller than 17916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8858.7 (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.6 + 1.6. Let g = -3 + 3.4. Sort -1\/3, g, c in decreasing order.\nAnswer: g, -1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g = -22*g + 75. What is the greatest common divisor of 135 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-708)\/60 - -5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 729, 1641, 2917, 4557, 6561, 8929?\nAnswer: 11661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2\/3 - 40*v = 0. Calculate v.\nAnswer: -120, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 7*u = 45. Let s(b) = 16*b - 9. Let z(c) be the third derivative of -c**4\/6 + c**3\/3 + 7479*c**2. What is u*z(w) + 2*s(w)?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97557 or -682895\/7?\nAnswer: -97557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*x**2 + 8*x**2 - 4*x**2 + (2*x + 0*x - 4*x)*(-3 + 3*x + 3) in the form b + f*x + s*x**2 and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (-112)\/35)\/((-90)\/(-25)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*y + 2. Suppose 0 = 3*r + 3*n - 54, -5*n - y = -r + 47. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 13*u**2. Let w(o) = 7180*o. Determine b(w(s)).\nAnswer: 670181200*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**2\/9 - 36595*c\/9 + 22940566\/9 = 0.\nAnswer: 638, 35957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m)**29*m**(-4)*m**(-1)*((((m\/(m\/(m\/m**(-3)*m)*m))\/m)\/m)\/m**(-2))\/(m**3\/(m*m**2)) assuming m is positive.\nAnswer: m**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 90. Let n = c - 44. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 83 - 7. What is the units digit of (o\/5 + -2)*5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79713968 is divided by 1201.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**2 + u + 1. Give m(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-274)\/(-2603) - 3784\/209.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 3*u**2 + (-3657*u - 3416*u + 7598*u)*(20 - u - 20) in the form f*u + y + k*u**2 and give k.\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 483 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00017745430525 to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 11 (c) -1\/7 (d) -3.9 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 555, -121, 0.5 in decreasing order.\nAnswer: 555, 4, 0.5, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 161905*g**3 + 2*g**2 - g + 2953059.\nAnswer: 485715*g**2 + 4*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772662?\nAnswer: 2, 3, 11, 23, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (-108)\/(-30) - 54\/(-110). What is the nearest to -3 in d, -0.1, 5\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + -9 + 46 - 34.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y**(-3\/2)\/y))*y*y\/(y**(-2)*y*y)*y*((y*y\/(y**(-2\/5)*y))\/y)**(18\/5))\/((y*y**(-7))\/y**(-2\/35))**(-14\/3) assuming y is positive.\nAnswer: y**(-3869\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwrwmjjwmwww. What is prob of picking 2 w and 2 r?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.28397 centimeters to kilometers.\nAnswer: 0.0002628397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.08 + -263.92. Let f = p - -266.00000135. Round f to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 3*q - 259, 3*l - 366 = -3*q + 15. Let w be 7\/(-7)*5\/(-1). Suppose s - w*s + l = 0. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**2 + 3*n - 3*n + 191*n**2.\nAnswer: 200*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -819801804*g**2 - 2*g**3 + 819801804*g**2 + 10 - 10 + 5*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.7 + -2.7. Let b = -4 + 4.26. Let k = b + 0.04. What is the second smallest value in k, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5000*g + 4939*g - 9896*g.\nAnswer: 43*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10*1*2\/(-4). Let t be (-1)\/(((-20)\/(-464))\/p). Let q = t - -172. 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: Let z(b) = -b**2 - 7*b - 6. Let u be z(-6). Suppose -4*m = -2*m - 20. Suppose m = 5*r, 2*k + k = 3*r - 21. Put u, k, 3 in decreasing order.\nAnswer: 3, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v - 3*v + 7*v - 10*v.\nAnswer: -19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.0664763 * -0.65\nAnswer: -0.043209595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 855545\nAnswer: -342218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 739 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - 13. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8206950 and 1150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 9*m - 3. Let d = -8 - -8.3. Let q = 0.6 - d. Which is the closest to -0.2? (a) 1 (b) m (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/48 + -7*(-5)\/100. Let b = 0 - 2. Sort b, w, 12 in descending order.\nAnswer: 12, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/8, 1, 12.05606?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -5. Let f(w) = w - 2. Let d be f(y). Is -4 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20100 + 12022?\nAnswer: 102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05999 rounded to 3 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(7) - sqrt(112)*-4))**2 + (sqrt(14) + sqrt(1134)*-2)\/sqrt(2).\nAnswer: -17*sqrt(7) + 72828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (1 + 1) - (24 - (11 - -4))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-158)\/18 + 2 + (-8)\/36. Let c = 11 + k. Solve q = c*g + 13, 2*g - 2*q + 7*q = 21 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggglllggglggggggggg. Give prob of picking 4 g.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 + 42*t + 697. Calculate g(-12).\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10*(-8)\/(-16) - 2*(3 - 6). Let f be ((-21)\/6 - -2)\/(-3). Determine y so that f*y**2 - n + 1\/2*y = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31367 and 1218?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 - -1732501.97\nAnswer: 1732500.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*6)\/((-3)\/(15\/(-50))).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 15 = 2*i - 4*t, i = 5*t - 5. Let u(d) = d**2 - 4*d + 6. Let r be u(i). Let x = r - 35. Calculate the least common multiple of x and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4697*t**2 - 77. Let v(d) = 303*d**2 - 5. What is 5*h(p) - 77*v(p)?\nAnswer: 154*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 7*r = 11*r + 182, 7065 = 2*p - 3*r + 6940 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 273, 1\/7, 2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) -2\/13 (c) -2 (d) 0.4473\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13936854 is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -15*z**2 - 20*z. Let n(t) be the third derivative of t**5\/60 - t**4\/24 - 3*t**2 - 57*t + 1. Calculate 20*n(j) - q(j).\nAnswer: 35*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11\/6 + -3\/2. Determine h, given that 2\/3*h**2 - l*h - 1\/3*h**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 + 2*v - 2*v. Let x(l) = -24*l**2 + 26987196 - 26987196. What is c(x(o))?\nAnswer: -1152*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-8 - 3) - (-5 - -11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1230 + -1205. Solve 23*h - r*h = -8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24 - 11) + -2*2. Let l = -12 + g. Let s be ((-84)\/(-8))\/l*(-11 + 1). Solve -i + 6*w - 4*w = -7, s = -5*i - 4*w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 18*b - 3. Suppose 2*u - 30 = u. What is the remainder when h(5) is divided by u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**5\/60 + m**2. Let r(q) = -2*q + 2*q + 12*q - 6*q. Give o(r(s)).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 77179856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = 13*n + n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -716 + 14331\/20. Let b = s - 173\/20. Find the common denominator of 12\/(-8) - (-21)\/10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.062147 and 638.331?\nAnswer: 638.268853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 1, b: 1, n: 1, u: 3}. What is prob of picking 1 u and 1 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 273*j**3 - j**2 - 33*j - 11. Let w(t) = -54*t**3 + 6*t + 2. Determine -2*i(q) - 11*w(q).\nAnswer: 48*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310*h + 11168 = -278*h. Solve 0 = h*t - 367*t + 54 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 7:01 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from vjmsvvmsvvjjkj?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 10:58 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 + 89. Suppose 0*w + 2*w = 30. What is the remainder when u is divided by (w\/2)\/((-9)\/(-12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16428 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 341306235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -5*v - 55907000. Let t = v - -381400. Round t to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*d - 83562*d**2 - 29*d + 122*d - 24*d - 24*d + 83561*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Let q = -3 - -1. Let r = 9 - 4. Which is the closest to v? (a) r (b) 3\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 4*n - 3. Let y be (-3 + 2)\/((-3)\/6). Suppose -3*m - 161 = -4*o, -3*o + y*m + m + 123 = 0. Let l be ((-5)\/(-3))\/(-6 + o\/6). Determine h(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r + 3. Let c(u) = -3*u + 7. What is 2*c(k) - 5*x(k)?\nAnswer: 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*l**2 + 30*l**2 - 11 + 11 in the form f + p*l + x*l**2 and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l - 49*l + 1690*l**3 + 19*l + 22*l.\nAnswer: 1690*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 a factor of 3037900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19592 is divided by 17533?\nAnswer: 2059","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/11)\/w)**37\/(((w*w\/w**(1\/3)*w*w)\/w)\/((w**12\/w*w)\/w*w)))**(-28) assuming w is positive.\nAnswer: w**(19348\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151629 is divided by 21659?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o + 30*o + 32*o**2 + 1787*o**2 + 2.\nAnswer: 1819*o**2 + 45*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2. Let p(c) = c**2. Let q(t) = -4*p(t) - 3*v(t). Let i(r) = -16*r**2. Calculate q(i(m)).\nAnswer: -256*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2422 divided by -14\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-3))\/(-4)*-1. Suppose 3*k - 15 + 0 = f. Solve 0 = k*v + 3 - 23 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 14*r + 36. Let u be j(-16). Suppose -5*t + 127 = -x + 5*x, u*x = 2*t - 62. What is the greatest common factor of t and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1. Suppose -10*x + 64 = 6*x. Which is the biggest value? (a) x (b) -0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**3 - 79*g**2 - 18*g - 36. Let c be q(-13). Solve -54 = -38*j + c*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a factor of 561105625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71692.58l to millilitres.\nAnswer: 71692580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.5 - -3. Let z = 1.03 - 0.13. Let l = z + -1. What is the biggest value in -4, l, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -126*v**5 + 4*v**3*z - 2*v**2*z - 9*v*z wrt v?\nAnswer: -7560*v**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 - -61. Solve -4*x + k = -5*y - 6, 0 = 2*y - 5*x - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 2, 7, -9 in ascending order.\nAnswer: -9, 2, 7, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3859891613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/244)\/(1231\/525637)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 12 = -0*k. Let y(n) = -13*n. Let l(f) = 372*f + 306. Let m(r) = -16184*r - 13328. Let x(p) = 392*l(p) + 9*m(p). Calculate k*x(q) - 77*y(q).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 5*k + 7. What is t(7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 219 (b) -5 (c) -1\/9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*o + 109749 - 190250 = 3362*o + 135976 for o.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000409959 to seven dps.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 388 + -306.4. Let d = -95.63 + u. Let z = d - -14. Is z less than or equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-45)\/60*(-4)\/30. Let l be ((-120)\/(-8))\/((-6)\/(-4)). Let y be 6\/(-60)*l\/(-6). Which is the third smallest value? (a) y (b) s (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**3 - 3*i**3 + 3*i**3 + (-5 + 3 + 1)*(33*i**3 - 32*i + 32*i) to the form y + m*i**2 + a*i**3 + o*i and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*2\/6 - 99. Find the common denominator of -41\/21 and -1 + m\/(-12) - 1\/(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 10*y - 4. Let t(b) = -19*b + 9. Determine -5*a(x) - 2*t(x).\nAnswer: -12*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13.9 in 4, -1\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 27*b - 193. Let i be f(7). Let w(u) = 3*u**3 + 14*u**2 + 4*u + 2. Determine w(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -42177*o**5\/7 + 2783685*o**4\/7 - 68706531*o**3\/7 + 751599027*o**2\/7 - 3074756760*o\/7 + 218700\/7 = 0. What is o?\nAnswer: 1\/14059, 15, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 15 = 2*g + 5*r, 2*g - 4*r + 12 = 0. Let p be (-3 + 30\/9)*3. Which is the third biggest value? (a) g (b) -0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104377 + 259*l - 1609*l - 104377.\nAnswer: -1350*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 3*t + 2. Let q be b(3). Let f(v) = q - 2 - 2*v**2. Let k(r) = 8*r + 6. Let i(c) = c + 1. Let g(n) = -6*i(n) + k(n). Calculate g(f(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 924*l - 2734. Calculate u(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 773850.1 litres?\nAnswer: 773850100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) 11 (c) 1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -877366530*o**2 + 703729192*o?\nAnswer: -1754733060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**1*f\/(f*f**1))\/(f*f*f**(-1\/6))**38 assuming f is positive.\nAnswer: f**(-206\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5)*(-160)\/(56\/(-7))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 20 + 50 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 12. Suppose 0 = 5*a - p*a - 2. Suppose 2*b = -k, -5 = -3*k - 3*b + a*b. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -148\/5 + 30. Put 0.5, 2, t in increasing order.\nAnswer: t, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = 1060 - 235. Let u be (436\/(-6))\/(5*10\/s). Let t = u - 108. Let o(b) = -b**3 + 1. What is o(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3 + 12. Let l = -12853 + 12883. Calculate the remainder when l is divided by (-47)\/(-3) - (-1)\/a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 3. Let y be w(7). Suppose 5*k - 77 = -2*l, 2*l - y*k = -0*l + 68. Let b = -2160 + 2268. Calculate the greatest common factor of b and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115219953 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffd when three letters picked without replacement from fdrfffddfddfdfdfdddd.\nAnswer: 77\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -71, -605, -2061, -4901, -9587, -16581?\n\"Answer: -77*c**3 + c**2 + 2*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -110788, -110238, -109676, -109096, -108492?\n\"Answer: y**3 + 543*y - 111332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -486086*h + 2430456. Calculate t(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1116\/8 + (2 + -1)\/(-2) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 103 = -31. Let g(p) = -p**3 - 3*p**2 + 12*p - 1. What is the remainder when g(-6) is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -63. Let m = -35 - s. Let q(c) = -c**3 - 12*c**2 + 9*c + 16. What is the remainder when q(m) is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 120\/31 - 484\/93. Let o = -1.1 - -6.1. What is the smallest value in 4, t, o, 2\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2 + 4*k - 2. Suppose 2*r - 2 + 4 = 0, 3*r + 11 = 4*a. Let z(q) = 0*q**2 - q**2 + 2*q - q + a*q**2. What is -n(w) + 6*z(w)?\nAnswer: 2*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9289 or 9291?\nAnswer: 9289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svvsvnvvnnvvs. Give prob of picking 2 n, 1 v, and 1 s.\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(567)*-2) + (-5 + -1*sqrt(567) - (-3 + -2 + sqrt(567) + sqrt(567) - sqrt(567)))**2)*6*3.\nAnswer: -648*sqrt(7) + 40824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**29\/(o\/(((o**(-8)\/o*o*o*o)\/o)\/o*o)))\/(o\/((o*o*o**(4\/19))\/o)*o*o**(-12\/13)*o) assuming o is positive.\nAnswer: o**(4973\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2984 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24133546?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 61011.59 and -0.2.\nAnswer: -12202.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2\/7*s**3 + 10\/7*s + 4\/7 + 8\/7*s**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/82380 and -163\/1565220?\nAnswer: 1565220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3353230 rounded to the nearest 10000?\nAnswer: 3350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 524616 and 40344.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39500320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433681322?\nAnswer: 2, 17, 12755333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*m - 6 + 6 + 4 + 6 with respect to m.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 825 = 15*r + 61*r - 391 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*b - n, -n - 1 = -60*b + 62*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 276 and 92.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.025 - -0.575. Let t = -8.4 - w. Let i be 2*10*3\/(-12). What is the second biggest value in t, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4)*(-36)\/(-60)*(-8)\/(-12)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 5*a + 1, -215*a + 213*a + 4 = -4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -885361 and -885358 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5 - 182*q**4\/3 - 406*q**3 + 2494*q**2\/3 - 192*q - 512\/3 = 0. Calculate q.\nAnswer: -16, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 2\/2)*11914\/(-2384249). Let d = j - 6\/251. Suppose 0*w + 5 = -w. What is the second smallest value in w, -2, d, 3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccuc when four letters picked without replacement from {b: 2, z: 2, r: 1, c: 4, q: 2, u: 8}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 40 = -4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 10*l**2 + l - 9 + 2*l. Let n(p) = 20 + 1215 - 1236 - p**2. Determine 18*n(w) - 2*s(w).\nAnswer: -2*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 3*b**2 + b - 1. Suppose 3*r - 2*d = -4, 0*d = 3*r + d - 11. Let f(y) = -2 + 4 + 2*y**r - 2. Give 3*f(w) - 2*x(w).\nAnswer: 2*w**3 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8bb2a + -3?\nAnswer: 8bb27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 3630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**2 + 12*z + 6. Determine g(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4396599.\nAnswer: 3, 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37551*o**2 + 1170*o + 54.\nAnswer: -75102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**4\/4 - 7*n**3\/3 - n**2\/2 + 17*n + 2. Let a be (-6 + 3 - (-3 - -1)) + 8. What are the prime factors of z(a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (0 - 0)\/(18 + -22) - -162 and 270.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4 = 4*t - 1, -3*t + 15 = 2*s. Solve -2*f - 1 = -s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 136*z**5 + 109*z**2?\nAnswer: 8160*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 12:42 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.1994 less than 24457?\nAnswer: 24449.8006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/252 and -73\/9505008.\nAnswer: 66535056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101398 + -50417. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1070, 1075, 1080, 1085, 1090?\nAnswer: 1095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -787184 - 3\nAnswer: -787187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 812 and 5481?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 159 - 90. Let k be 0\/(-4*(-3)\/6). Let v = 46 + k. What is the greatest common divisor of v and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(320))**2.\nAnswer: 1277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7817830231\/140 - -55841904. Let w = 2571\/10 - x. Find the common denominator of 59\/12 and w.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001011 + 10?\nAnswer: -111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3 + 12*j**5 - 26*j**4 - 8*j**2 - 14*j**4 + 35*j**3 = 0. Calculate j.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 880 is divided by 180?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -3*r**6\/4 + 3*r**5\/5 + 27*r**4\/8 - 6*r**3 + 3*r**2 + 10. What is t in w(t) = 0?\nAnswer: -2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-219)\/(-15))\/((-244)\/20 - (-189 - -177)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*t + 36. Let c be 3\/18 + 766\/t. Suppose -4*i + c = -0*i. Calculate the least common multiple of 4 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1355 (b) -2\/9 (c) 3 (d) -6 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 9:34 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 41 = 4*u, -5*u - 3*k + 22 = -9. Suppose -4*s - u = -0. Is s less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 135, -2\/19, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1 - 1 = 0. What is the third smallest value in -5, h, 5, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-125982)\/(-54))\/(2\/(0 - -2)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 10:15 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - 4 - (5 + 0). Is (-2 - (-316)\/y)\/((-14)\/42) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226494633?\nAnswer: 3, 83, 223, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4423 * -2483.\nAnswer: 10982309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -295*z - 5250. Let y be f(-28). Calculate the highest common divisor of 630 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2076\/14 + 5 + -4. Let q = -149 + m. Does 0 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**4\/2 - 2*x**3\/3 + x**2\/2 - 2*x + 1. Let y = 0 - -2. Is u(y) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 5*z - 0. Let y(m) = -m + 11. What is the tens digit of y(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*k + 35. Let j(v) be the first derivative of 2*v**3\/3 + 6*v**2 - 2*v + 859. Calculate the smallest common multiple of 18 and j(k).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -7*y**2 + 97. Let q(o) = -o. Give q(g(h)).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 284 + -261. Suppose -i*v = -17*v - 4782. Does 50 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*f - 74 - 40. Solve 0 = -h - 4*q - 18, 5*q + 20 = f*h - 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 y when four letters picked without replacement from {t: 2, y: 5, b: 3, w: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 43. Sort -2, 4, y in increasing order.\nAnswer: -2, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88833853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 217 in -15\/2, 1, 0.4, 3, -0.12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-8)\/180*3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 17*c - 13950605 + 3839658. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = o + 1290007, 4*x - 4*o = -o + 5160025. Suppose -2*g = -3*b - x, b + 429996 = -0*b - 2*g. Round b to the nearest ten thousand.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -17*v + 109. Suppose 4 = -z - 2. What is the units digit of m(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8573791 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(-13))\/(1 - -1). Let z(a) = -a - 3. Let c be z(-4). Let b = j + c. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 2. Suppose -p*w = -0*w - 16. Let q = 681 - 677. Solve q*m = 28 - w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(4\/(8\/4)). Let f(o) be the first derivative of -6 - 5\/2*o**2 + 0*o**4 - 1\/5*o**5 + 0*o**t + 0*o. What is the second derivative of f(x) wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 1 = 14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = y - 30. Let s(c) = 4*c - 10*c + 5*c**3 + 70*c**2 - 1 - 78*c**2. Let r(d) = -4*d**3 + 7*d**2 + 5*d + 1. Determine y*s(z) - 6*r(z).\nAnswer: -z**3 - 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9942071 * 11\nAnswer: -109362781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 103*b**2 + 56*b + 731. What is the thousands digit of z(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2497534 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 3125369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 60\/14 + 6\/(-21). Suppose 0 = -12*u - m*u + 144. Solve -r - 3 = -2*w, -5*r + 5*w - w - u = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -109*j**2 + 107*j**2 + 849*j + 82*j - 87362 - 95*j = 0. What is j?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 7*j - 370. Let l be c(12). Solve -5*h - l*t - 26 = 0, 22*t - 19*t = h - 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 1. Let d(i) = -103*i**3 + 8*i**2 - i - 2. Let z(l) = d(l) + 2*t(l). Find the third derivative of z(f) wrt f.\nAnswer: -618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19194 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -10. Let g be (-2)\/3 + (-34)\/(-6). Suppose -p + c + g = -2, 0 = 4*p + i*c - 21. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k*p*r*v + 6*k*p*v - 5*k*p - 2*p*r - p*v - 12*p wrt v?\nAnswer: 2*k*p*r + 6*k*p - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20160 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/14 + -7)*2*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -18e (base 15) to base 2\nAnswer: -101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + (sqrt(50) + sqrt(50) + sqrt(100)\/sqrt(2) - sqrt(50)))*-1)\/((sqrt(100) - (sqrt(100)*-6 - sqrt(100)))\/sqrt(10)).\nAnswer: -3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -6*n + 3*n + 2*f, 4*n - 88 = -3*f. What is the highest common factor of n and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 4) + (-5)\/(-1). Solve 2*l = -q - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9652 (base 12) to base 2\nAnswer: -100000001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6697 rounded to 3 dps?\nAnswer: -1.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -2*w**6 - 66*w**5\/5 - 21*w**4\/4 + 35*w**3\/2 + 39*w**2\/2 + 15*w\/2 - 475. Let v(p) = 0. What is p?\nAnswer: -5, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(112) + 4)*-1 + ((2 + sqrt(112)*3)*6)**2.\nAnswer: 1704*sqrt(7) + 36408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 76 = 4*v, 5*y - 159*v + 43 = -155*v for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*k + 296 = 36*k + 37. Which is greater: -2\/17239 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 270\/(-63)*(-56)\/24. Let z(o) be the third derivative of -o**5\/60 + 11*o**4\/24 + 10*o**3\/3 - o**2. Is z(p) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3178 divided by -7?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58802 in -5, 1, -2\/25, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5405 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*o - 2*y, 4*y - y + 39 = 4*o. Suppose -x = o - 10. Let p(g) = -g**2 + 4*g + 4. Give p(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*n - 14 = -194 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1171, -36\/11, -2 in ascending order.\nAnswer: -1171, -36\/11, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2400 = -16*y + 1824 for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1677 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: Which is the closest to -6? (a) 0.185 (b) 1\/5 (c) 0.3 (d) -2 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, j: 5, p: 1, e: 1, f: 6}. Give prob of sequence jp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*w = 4000, -s + 6*s + 4*w = 3970. Is 42 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 383 + -382. Let k = 5 - 4. Are k and t unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 4*w**5\/5 - 2*w**4 - 16*w**3\/3 + 4*w**2 + 12*w + 90. Determine p so that n(p) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + sqrt(700) + -1)**2 - (-4 + ((sqrt(448) + 2)*5)**2).\nAnswer: -10592 - 760*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 45190\/3 (c) -3\/38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5744055274?\nAnswer: 2, 47, 61106971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3216320 divided by 643264?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1*11215\nAnswer: -11215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 811046 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -3320?\nAnswer: -3320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13059, 1, 0, 0.5, 2\/11, -7\/6, -2\/5?\nAnswer: -13059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**3 - 7092*w**2\/7 + 67611*w\/7 - 18738\/7 = 0.\nAnswer: -347, 2\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*g**4 + 1786393*g**3 + 15083824?\nAnswer: 16*g**3 + 5359179*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 36 = -5*h, 5*h - 2*u = 3*u. Suppose 0 = h*b - b - 9. What is the third biggest value in b, -3, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1501968\/(-2905))\/(-87) - 8\/10)*-14\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3376178 - -148592525\/44. Let f = c - 925. Calculate the common denominator of f and -41\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 10*q + 3*q + 0*q - 289 = -4*q, -4*z = 5*q + 477 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -215 - -220. Let n(r) = r**2 + 4*r - 5. Let h be n(-5). Which is the third smallest value? (a) v (b) h (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 16*m**2 + 37*m - 25. What is g(18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3*(sqrt(1296) - ((-2*sqrt(1296) - sqrt(1296)) + sqrt(1296))) - sqrt(1296)) + sqrt(1296))\/(6*-6*sqrt(8)*1).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14505 + -14524. Sort x, 16, 2 in descending order.\nAnswer: 16, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.135 * 0.1.\nAnswer: 0.0135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, 12, 10, 8, 6, 4?\n\"Answer: -2*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 547360826?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 + 0 - (-5 - -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(204)*-2)\/sqrt(12) - 2*sqrt(272)) + -5.\nAnswer: -10*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578 is divided by 95?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1225.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0 + 4 + 0 - 5 + (3 + 0 - 5)*(-1 + 3 + 0) + 2 + 0 - 1 - 2 + 4 + 0 - 7 - 32 - 31)*(-5*c + 3*c + 15*c).\nAnswer: -962*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -7. Suppose 0 = -4*p + 2*o + 22, -p = -0*o - o - g. Suppose 7 = w - p. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -66*q + 1130. Give j(17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**3 + q**3 + 0*q**3 + (5121*q**2 + 17 - 2194*q**2 - 2552*q**2)*(1 - 2 + 0 - 2*q) in the form r*q**2 + x + h*q + u*q**3 and give h.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 11*j**5\/20 + j**2 - 12*j + 71. Let m(d) be the second derivative of p(d). Let r(s) = -2*s. What is r(m(f))?\nAnswer: -66*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + r**2 + r + 3. Let p be g(0). Suppose p*i - 2*c - 27 = 0, -2*c = 2*c. Calculate the highest common divisor of 72 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 5*h**2 - 4*h - 5. Let y be z(-5). What is the greatest common factor of y and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**2 + 5*s + 4. Let a(i) = 7*i**2 - 5*i + 4. Let x(z) = 2*z**2 - z + 1. Let f(y) = -a(y) + 4*x(y). What is 5*f(p) - v(p)?\nAnswer: p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2518 * 27.\nAnswer: -6.7986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1.57, 0.7, -17, 0.2, 4, -106?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 522 (b) 1 (c) 4 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-20)*(-38)\/(-171))\/((20\/696)\/5)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 - 5*d**4 + 2*d**4 + (-3 + 3 + d**3)*(4*d - 3*d - 3*d) + 30*d**4 + 104*d**4 + 10*d**4.\nAnswer: 138*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229 + 216 + (15 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -56d0ba (base 14) in base 7?\nAnswer: -34056323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -85710 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/8 + 10*y**2 + 639*y\/8 = 0 for y.\nAnswer: -71, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23\/2? (a) 1\/3 (b) 4 (c) -211\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (24*(6\/(-42))\/((-910)\/(-49)))\/(6\/20)?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 6 + 20)*(3*j + j**2 - 2*j - 7*j + (-1 - 2*j**2 + 1)*(3 - 4 + 2)) to y*j + x + i*j**2 and give y.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7732497 to the power of 1\/2, to the nearest integer?\nAnswer: 2781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1244 and -8.662?\nAnswer: 1252.662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 129 - 37. Solve 0 = 4*h - 4*g - 4, 2*g - f = -2*h - h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(18)\/sqrt(6))**2*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267245 = -4*v - 92755. What is v rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tf when two letters picked without replacement from fykjttyf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 162 - 155. Solve -5*j + 8 + k = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1612*s - 8518. What is n(6)?\nAnswer: 1154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4151 by 20.\nAnswer: -4151\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + (13 - -30) + 9 + 0.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 5*k**3\/6 - 3*k**2\/2 + 15*k. Let u be j(1). What is the common denominator of 716\/720 + u\/(-8) and 77\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 - h**3 + h**2 + (h + 3*h - 2*h)*(-2*h**2 + 2*h**2 + 2*h**2) + 6 - 6 + 4*h**3 to the form d*h**2 + w + v*h + n*h**3 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -t - o, 8*t - 12 = 4*t + 5*o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -0.15, 1\/6, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = k + 1, 385*k - 382*k = 9*a + 12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.7 take away 1006.85?\nAnswer: -1024.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 5:57 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11214\/(-4))\/(29\/(-174)). Let i = -6231 + j. Round i to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1*b*b)**(2\/21)\/(((b**(-1\/5)*b)\/b)\/(((b*b**(-3))\/b)\/b)) assuming b is positive.\nAnswer: b**(-123\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**7*v**13)**12)**2)**(-16) assuming v is positive.\nAnswer: v**(-2688)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20881.\nAnswer: 7, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6678904310 to the power of 1\/3, to the nearest integer?\nAnswer: 1883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 4. List the prime factors of 11 + h + (-2 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 278*y + 295*y - 2*y**2.\nAnswer: -y**2 + 17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 479 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**6\/360 + 2*q**3\/3 - 1. Let p(o) be the third derivative of c(o). Let i(h) = -3*h + 3*h + 5*h. Give p(i(y)).\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 405 + -32?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 11 and 0.762 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**9*b**17*b**(-13)\/((b**(-12)\/b)\/b))**(3\/32) assuming b is positive.\nAnswer: b**(81\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - -2.3. Let i = p - 0.6. What is the second smallest value in 4\/9, i, 1\/5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154115185.\nAnswer: 5, 7, 4403291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-25)\/(-10) - (-3)\/(-2))*259. Suppose 5*v - 289 + i = 0. What is the remainder when 134 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 521.1 - 519. Let p be ((-17)\/119)\/(3*3\/9). Which is the second smallest value? (a) -3 (b) k (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6890*b**3 + 9100*b**3 - 2 - 16003*b**3.\nAnswer: -13*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + i = z + 18, -5*i = -2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -4*x**5\/35 - 8*x**4\/21 + 2*x**3\/7 + 18*x**2\/7 - 3*x - 216. Factor o(b).\nAnswer: -4*(b - 1)*(2*b + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6891541 != -6891541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**2 + 157*d - 70. Determine n(52).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4*15\/(-20))\/((-3)\/(-12)*-3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 5)*(-24 + 25 + 41)*(18*b + 0*b - 5*b).\nAnswer: 1092*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7658536*c**2*y**2 - 45649741*c**2 - 8*y**2 wrt y.\nAnswer: -15317072*c**2*y - 16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-6 - (-4 + (2 - 8))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 62622.93 decades?\nAnswer: 7514751.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2 + 4. Let u(p) = 6*p**2 + 8. Let m(s) = 5*s**2 + 7. Let k(i) = -7*m(i) + 6*u(i). Let a(q) = -g(q) - 4*k(q). Let t(w) = 3*w. Calculate a(t(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 5, -310\/3, 1607, 0?\nAnswer: 1607","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.08 (b) -2\/15 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -7299*w + 58360. What is z(8)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3422783 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*(-110 + 92040\/832 - 1758\/176)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/(-8))\/(-9))\/((-2)\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79902524.\nAnswer: 2, 13, 19, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 984, 1222, 1460, 1698, 1936?\n\"Answer: 238*b + 746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4848903 - 1478917006\/305. Let o = 1\/61 + g. Which is the third smallest value? (a) 2\/9 (b) -0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-39)\/(h\/(h\/h**32)))**(-20) assuming h is positive.\nAnswer: h**1420","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 4812429.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*a - 10255 - 265 - 232. What is the greatest common divisor of a and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/5)\/((-2)\/790). Let x = 564 - 36. Suppose -4*q = -x - p. Is q 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 {b: 5, z: 3, i: 2, r: 7}. Give prob of sequence bzbi.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 a factor of 129164716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -30. What is the third smallest value in y, 2\/5, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 - 2.7. Sort r, -3, -0.3 in increasing order.\nAnswer: -3, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -281 + 506. Which is greater: 224 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**14*w**23*w**23*w**(-6\/11)*w)**10 assuming w is positive.\nAnswer: w**(6650\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*a**3 + 557144*a - 1237662071 wrt a?\nAnswer: 9*a**2 + 557144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - -17. Calculate the remainder when y is divided by (-2)\/6 - (-37)\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, u: 2, k: 1, b: 1}. What is prob of picking 1 k, 2 u, and 1 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 14*m = 26. Let r(i) = 2*i - 24. Let b be r(m). Solve 0 = -b*v - 6, -l - 4*v - 2 - 14 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*a**3 + 8*a**3 - 9*a**3)*(103 - 128 + 3*a - 5*a).\nAnswer: 28*a**4 + 350*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1329*p - 2 - 1308*p + 0. Let z(u) = 2*u**2 - 2*u - 3. Let o be z(3). Is j(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 362645 (b) -7\/8 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 5. Suppose c - 19 = -14. Suppose l - c*u + 12 = -2*u, -u = -5*l - 46. Let n be v(l). Solve 2*z = n - 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6493.96 years to millennia.\nAnswer: 6.49396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15949\/84 + -1297\/7. Let g = 21\/4 - u. Are g and -0.108 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 129584 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1719402?\nAnswer: 2, 3, 509, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 99308 take away 4?\nAnswer: 99304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 2. Let t be w(4). Let n(p) = 14*p + 8. Let k be n(-1). Are t and k unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((3 - 1)*9\/18)\/(5\/73285)?\nAnswer: 14657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2164407+-2386145\nAnswer: -221738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v + 1416 = 9586. Let y = 433 - v. Solve 0 = -3*w - y*w - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714908807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8715 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, f: 2, j: 1, c: 2, r: 1}. What is prob of picking 1 j and 1 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 438 and 63?\nAnswer: 9198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4, 2\/7, -9 in descending order.\nAnswer: 4, 2\/7, 0.2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/20)\/((-12)\/(-30)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53631 is divided by 17871?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 4:28 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4*1)\/(16\/2696). Let h = -673 - z. Is 5 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, g: 5, c: 4, x: 1}. What is prob of picking 1 u and 1 c?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 + 6*s**2 - 8*s**2 - 12*s**4 + 2*s**2 - s to the form v*s**2 + y*s**3 + k + q*s**4 + o*s and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -128286.\nAnswer: -5\/128286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245113 is divided by 6450.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltqt when four letters picked without replacement from tjljltllttjtlqlqtq?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11494915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 115*o - 4547. What is t(-27)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-10)*l)\/(l**7*l))\/(l\/(l**5*l)*l*l\/(l\/(l*l**(4\/13)*l))) assuming l is positive.\nAnswer: l**(-199\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 + 2796*u**3 - 672300*u**2 + 60142500*u - 1093500000.\nAnswer: -4*(u - 225)**3*(u - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 10:16 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3263 + 3268.316. Let o = u - 2.8118. Let p = o - 2.5. What is p rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 69674.52 centuries?\nAnswer: 6967452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160a (base 14) to base 4.\nAnswer: 331122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -13 - 2) + -15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -61 + 11. Solve 4*f + 4*b = f + 5, -d = 2*f - 3*b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1083, -1080, -1077, -1074, -1071?\n\"Answer: 3*s - 1086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + 3*i - 6*i + 31 = 0, 41 + 14 = -2*a - 3*i + 23 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(-1 + 1 - 1)*(-3*u - 13*u + 4*u).\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1925, -4182, -6795, -9764, -13089, -16770, -20807?\n\"Answer: -178*c**2 - 1723*c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 + -64. Let y = -17 + g. Let k be y\/(-2)*33\/(-22). Solve 5*l = -5*n - 5, -2*l + n = 5*n + k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 3, a: 2, u: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124.33 - -138.2. Let z = 1.47 - u. Round z to 0 dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11602*d**3 - 441954*d**3 + 73641*d**3.\nAnswer: -379915*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-2))\/6)\/1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 286 by -197178.\nAnswer: -143\/98589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p - p + 5*p as x*p + m and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6109 is divided by 3052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1510080527 - -20\nAnswer: -1510080507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(7) + -1 + sqrt(63)).\nAnswer: -20*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/5 of a hour in seconds?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*g = 6, 4*n - 2*g - 10 = 26. Suppose 6 = -n*z - 1. What is the units digit of (78\/(-13))\/(z\/(-32)*-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2\/3, 0.0214, -3 in decreasing order.\nAnswer: 6, 0.0214, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -1. Let c(x) = -x**2 + 4*x + 2. Let a(y) = -3*c(y) - 15*i(y). Find w such that a(w) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9416719*i**3 - 70784539.\nAnswer: 28250157*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 216*w - 55*w + 346*w.\nAnswer: 507*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/(-112) + 0 - (186\/(-56) - -11).\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 + 57. What is the highest common factor of 48 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7224, 7210, 7188, 7158, 7120, 7074, 7020?\nAnswer: 6958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w - 6 = -58 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(2*f**3 + 0*f + 0*f)*(9 + 5 - 20).\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -355*v + 384*v + 265*v + 491*v + 362*v in the form w*v + m and give w.\nAnswer: 1147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 10:19 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*u**2 + 20*u**2 + 0*u + u**2 + 2*u + 23920*u**3.\nAnswer: 23920*u**3 - 11*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/756 + 1 + (-36)\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-177 + 177 + 8*q) + 0*q - q + 2*q + (-1 - q + 1)*(3 + 2 + 0) + 18*q - 2*q - q.\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3024574 is divided by 178.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 8*b - 140. Suppose 0 = -r - 4*r + 25. Suppose 4*q + t - 87 = 6*t, -51 = -2*q - r*t. What is the remainder when q is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 17501565.\nAnswer: 52504695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, z: 1, c: 1, o: 1, t: 7, q: 5}. Give prob of sequence oz.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19002.\nAnswer: 2, 3, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2995472 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 2. Let s(j) = 2*j - 1316 - 1319 + 2638. Determine -13*f(w) + 6*s(w).\nAnswer: -w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -449*t**8\/56 - t**4\/4 + 19*t**2 + 665*t. Find the third derivative of s(u) wrt u.\nAnswer: -53880*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6076 = 4794. Suppose -2*a + p = -689. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121\/((-15972)\/252)*286\/(-6)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/(102\/(-918))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -91, -46, -5 in decreasing order.\nAnswer: -5, -46, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-66)\/(-171)*31998\/245398. Let f = v - 44\/4231. Let j = f + -23957\/6612. Find the common denominator of j and -95\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6853?\nAnswer: 7, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of -6 + (-5 - -2) + 187509\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nppncnpnpn. What is prob of picking 2 n and 2 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1546 + -1545.6. Let u = -175 + 175.2. Which is the nearest to u? (a) -1\/4 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v. Suppose -4*q = 5*w - 22, -4*w + 2*q = -0*q - 2. Let d = -10 + 12. Let n(a) = -d*a + w*a - 5*a. What is n(m(s))?\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 43. Solve -4*r - 10 = 2*p - r, -j*r = -2*p + 14 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1571 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -123.10263 + 0.4\nAnswer: -122.70263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 4*b - b - 40, -3*k + 4*b = -27 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 2, -7 in decreasing order.\nAnswer: 27, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**4 + 2*g**2 + 2*g**4 + 7*g**3 - g**4 + 9*g**2 to u*g**4 + z*g**3 + h*g**2 + c*g + f and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 4. Let a be j(6). Suppose 0 = -4*x + 2 + 10. Suppose -x*i - a*i + 130 = 0. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 - (-539)\/14. Suppose 3*c - 5*c + 76 = 0. Is c > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((5 + sqrt(1008))**2*6 - ((sqrt(1008) - (3*sqrt(1008) + sqrt(1008) + sqrt(1008)))**2 + 0))*1.\nAnswer: -29790 + 2160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19556288.\nAnswer: 2, 31, 9857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 174\/(-14) + (-9)\/(-21). Let a be (152\/p)\/(8\/780). Calculate the common denominator of ((-2)\/(-40))\/((-26)\/a) and -45\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 13*i = -112. Is 13 a factor of 2 - (-18)\/(-8) - 1354\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 240573016 = -8*c, -3*t + 251*c - 248*c - 240572994 = 0. What is t rounded to the nearest one hundred thousand?\nAnswer: -80200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1220 is divided by 83?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3848*d*g + 8460*d + g**4 + 46*g + 69 wrt g?\nAnswer: -3848*d + 4*g**3 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1384\/7 - -198. Let y = 4002 - 4000. Let d be (4\/(-10))\/(1\/5). Which is the closest to d? (a) -2 (b) y (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from pfppfofofpfppp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(((-10)\/10)\/(1\/2*2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.57 + 8.47. Let w = u - 4.3. Let s = w + -0.6. What is the third smallest value in -0.2, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179991*p - p**3 + 3*p**2 - 6*p**2 + 2*p**2 - 11266*p.\nAnswer: -p**3 - p**2 + 168725*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/3))**(-6))**(-1\/13)\/(j\/(j*j\/(j\/j**(-5\/3))*j)*j*((j\/(j**(2\/9)*j))\/j)\/j*j)**(-3\/14) assuming j is positive.\nAnswer: j**(110\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9462 is divided by 556?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.08 (b) -0.3 (c) 0.492\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 148355.\nAnswer: 741775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25149 and 6?\nAnswer: 50298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2162.\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-26)\/(-8))\/((-7)\/(-196)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4102 - 1?\nAnswer: 4101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4908, -9806, -14704, -19602, -24500?\n\"Answer: -4898*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -11. Suppose 15 = i*q - 0. Suppose -24 - 15 = -q*s. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 1181.\nAnswer: -354.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1384 and -49\/1730.\nAnswer: 6920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -9. Suppose 14 + p = 5*j - 4*x, 0 = 2*j - 2*x - 8. Suppose -3*h = h + 3*q + 4, -4*h = -2*q + j. Is 0 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5215 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21276 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4964 is divided by 31?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = q - 5*q + 784, 581 = 3*q + 5*k. Calculate the remainder when 597 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*f - 53 - 87 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 9. Let w be i(4). Sort -4, w, 1 in increasing order.\nAnswer: -4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1920 = 3*x + 98*x + 27*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290416 is divided by 7833.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*d = -38*d - 344. Suppose -47*p = -d*p - 8. Solve 3*r = -p - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3960 and 2698300?\nAnswer: 48569400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(-2\/9))**26*w**(-5\/6)\/w*w**9\/w assuming w is positive.\nAnswer: w**(1151\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -4\/5 (b) 0.01 (c) 2\/143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/(-1)*(-138080)\/1726?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/21 + (-8 - 7\/588*-790)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111 + 1101000?\nAnswer: 10100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3596896 is divided by 1198944?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -29*r**4\/12 + r + 190. Let w(c) = 5*c**2. Calculate a(w(j)).\nAnswer: -725*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1142 + 1675 - 2*m**2 - 157*m**3 - 543 + 0*m**2 in the form u*m**3 + k*m + f*m**2 + v and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.3 - -5. Let k = -4.548 - 0.452. Which is the third biggest value? (a) k (b) 1\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.4 - -2.5. Is -3\/5 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2438*d**3*s*t**3 + 463*d**3*s*t - 2148*d**2*s*t**2 - 6*d*s*t**2 + 45*d*t**3 wrt d.\nAnswer: 14628*s*t**3 + 2778*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 291\/10 + -29. Let l = 0 - 0. What is the nearest to l in 0.2, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.087955 rounded to zero decimal places?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/2 (b) 1\/3 (c) 0.2 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -1 - (-9 - -16)) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*b**3*w**3 - 2*b**3*w**2 - b**3*w - 2*b**3 + 113*b*w**2 - 313*b*w + 4*b + 51*w wrt w.\nAnswer: 186*b**3*w - 4*b**3 + 226*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d + 0*d + 8*d - 32*d + 3*d**2.\nAnswer: 3*d**2 - 18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**3 + 24*o**2 + 2*o - 22. Give r(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 70871 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -3. Let y(o) = -2*o**2 - o. Let q be y(h). Let k(b) = -b**2 - 7*b - 6. Determine k(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 2*t**2 - t**2)*(-2*t**2 - t + t) + (t**2 + 3*t**2 - 5*t**2)*(t**2 + 0*t**2 + t**2) + 2*t**4 - 2*t**4 - 3*t**4 + 0*t**2 + 0*t**2 - 2*t**4.\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + -8 + 6)*(-5)\/(-2). Suppose o*a - 1235 = 5*r, a + r = -2*a + 761. Suppose 287 + a = 7*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/30*(-18045)\/8421?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2, 5, -4 in descending order.\nAnswer: 5, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**4 - 3*t**4 + 7*t**4 + (t**3 + 5*t**3 - t**3)*(t + 3*t - 5*t).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 39 = 11. Suppose 0 = -u*g - 10 + 45. Suppose 3*n + n = 16. What is the smallest common multiple of n and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 4*z + 1. Let q be f(-5). Let y(v) = 4*v - 1. Let g be y(q). Solve 5*p - 2*d - d - 5 = 0, p - g = 5*d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2\/4041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s + 165 = -69*s - 0*s. What is the closest to -659 in s, -4, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(275) + 1 - (1 + 1*sqrt(275)))*-6*-6.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**3 - 29472*d**2 + 56760660*d - 9005132664 = 0.\nAnswer: 174, 3597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1000 and 2073550.\nAnswer: 41471000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.8 + 1.2. Let i = -0.09 - -5.09. Let t = i + -3. Sort -3, u, t in decreasing order.\nAnswer: u, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 268\/16 - 2\/(-8). Let h(n) be the first derivative of 7*n**2\/2 - 8*n + 10. Let j be h(6). What is the highest common divisor of j and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x - 1. Let h be ((-6)\/(-9)*-3)\/2. Let y be c(h). Suppose 3*q + d - 22 = 0, -y*d - 36 = 3*q - 7*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10176276 or 10176275?\nAnswer: 10176275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g - 1. Let o(t) = 8*t - 5. Suppose -30 + 26 = 2*p. Determine p*o(z) + 9*l(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*z - 9 = 0. Let h(y) = y**2 + 7*y + 8. What is the smallest common multiple of h(z) and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3946*d - 3938*d = 24136. Let g be (-1)\/(-1) - (11 - 0). Is d\/35 + (-8)\/g a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 rounded to zero decimal places?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170 divided by -2.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -0.24504?\nAnswer: -0.24504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, m: 1, g: 1, p: 2, s: 2, t: 7}. What is prob of sequence stt?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1 - 5 = 0. Suppose 5*c = 5*h + 35, c + 13 = -h - p*h. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-1\/7)\/q))\/q)\/(q\/(q\/(q\/q**(2\/7)))))**(10\/11)\/((q**(2\/5))**37\/(q\/(q*q*q**(-1\/4))*q*q*q**(-5)*q*q)) assuming q is positive.\nAnswer: q**(-24887\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 0*g + 5*g + 5, -3*g - 18 = -2*q. Suppose 39 = q*u + 3*f, -2*f = -5*u - 6*f + 60. What is the common denominator of (u\/(-12))\/(2\/67) and 33\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291, -316, -341, -366?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + (sqrt(475) - (sqrt(475) + sqrt(475)*2))**2 - ((sqrt(475) + 0 + 3)**2 + (sqrt(475) + (-1 + sqrt(475))*4 - sqrt(475))**2))*3.\nAnswer: -18612 + 390*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 11*l - 8. Give a(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 12 - 1)*(5*y**3 + 2*y**3 - 6*y**3)*(3 - 2 - 2).\nAnswer: -32*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*x - 19 + 4, 5*b = -4*x + 27. Calculate the remainder when 39 - 6\/(-1*x) is divided by 4\/2 + (11 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -36. Let f = j + 8. Suppose f*t + 2*a - a = 2942, 0 = -5*a + 25. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 39 + 45 = 0. Suppose -13*n + 26*n - 312 = 0. Let f = i + n. Solve 5*s - 2 - f = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 275 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20879 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 5*m**2 - 7*m + 6. Suppose 72 = 4*h - 3*h - 2*c, -4*h - 5*c + 262 = 0. Let u be 289\/h + (-2)\/8. What is y(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2226863831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + 8\/(-1 + 3). Suppose 2*s - 9 = 3*b, 2*s + h = -7*b + 3*b. Let f(y) = 2*y - 39. Let q be f(20). Solve z + q = -s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165\/22*1919530\/75 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1562?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 19159*l + 57120. What is h(-3)?\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 + -97. Let y be (-8)\/6*(6 + -3). Suppose -6*m = -2*m - 16. What is the nearest to 3 in m, l, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2.7658, 3, 0 in descending order.\nAnswer: 3, 0.2, 0, -2.7658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -2*v - 18, -13*l = -9*l + 5*v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00597969 to 4 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2126 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*36\/4320)\/(1 - (-2)\/(-3))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 6 = -7*c + 22, -11*k + 3 = -8*k + 3*c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n**2 + 0*n**2 + 2*n**2)*(122*n + 1 - 134*n + 3) as m*n + a + r*n**2 + h*n**3 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 8 = 27 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 64, -12.\nAnswer: -12, -4, 5, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 8:34 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1577, -1701, -1901, -2177, -2529?\n\"Answer: -38*r**2 - 10*r - 1529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -v - 30. Let t = 13 + v. Find the third derivative of 7*n**3 - 7*n**2 + 2*n**t - 4*n**3 - n**3 wrt n.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7225, 1\/62, -2\/11?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 9*k**2 + 15*k - 16. Let s be g(-6). Suppose 2*l - 23 = -5*p, p - 12 = -2*p - 3*l. Solve s*j + p*u = -14, 4*j - 3*u = -j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**3\/15 - 22*j**2\/15 + 4*j\/3 = 0.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by ((-5)\/10)\/((-4)\/32).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1303033 - -22?\nAnswer: -1303011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32805*b - 11073*b - 11154*b - 11056*b)*(1 + 2 - 2) to i*b + y and give i.\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 374022*l + 158773.\nAnswer: 374022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 5:43 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 110111 (base 2) to base 14\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113 + 36. Let h = n + 76.894. Let w = 0.02 + h. Round w to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.090752756 rounded to 3 dps?\nAnswer: -0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -455445, -455493, -455571, -455679, -455817, -455985?\nAnswer: -456183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*o + 29 - 2 = 0, 4*t + 2*o - 26 = 0. Solve -h + 4 + 4 = 2*i, 3*h + t*i - 19 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*w + 729 + 63 = -874 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 19 + 7\/2*q**2 + 44*q. Let d be p(-6). Solve 0 = t + d*i - 11, -4*i + 17 = 3*t - 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64407 and 5463?\nAnswer: 117285147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -186373460 rounded to the nearest 10000?\nAnswer: -186370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9.747 - -238\nAnswer: 228.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 - 54. Let s(l) = o*l**3 + 35*l - 20*l - 14*l - 2*l**2. Give s(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p**3 + p**2. Let q(c) = 9*c**3 + c**2. Let m = 53 + -51. What is m*q(j) - 5*b(j)?\nAnswer: -2*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 not equal to 26862\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(960) - sqrt(960)) + -2*sqrt(735))\/(3*((sqrt(3) - ((sqrt(3) - sqrt(12)\/sqrt(4)*6) + sqrt(3))) + sqrt(3))).\nAnswer: -19*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -48. Let h(b) be the third derivative of b**4\/24 - b**3\/6 - 71*b**2. What is h(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1681 + -612. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**4 - 48*l**2 + 90*l**2 + 2*l - 41*l**2 + 3*l**4 as f*l**4 + j + n*l + g*l**3 + k*l**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbtvw. Give prob of picking 2 z and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/3, 0.29, -2\/9, 2, -0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3671 - -3670.7. Let u(i) = 4*i**2 + i - 3. Let v be u(-4). Let a be 2 + 12\/v*-10. What is the nearest to 2\/9 in a, h, 9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115bba (base 13) to base 4.\nAnswer: -1210302303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15125029 or -15125074?\nAnswer: -15125029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -1171*r + 1169*r + 62, 4*r - 128 = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*i + 118*i - 4109 = 0. Let z = i + 120. List the prime factors of z.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -133 or -17925\/134?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -0.06 (b) -3 (c) 0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -10. Let h = -3 - g. Let f(q) = -4*q - 4. Let w be f(h). Solve 2*u = -w*o + 20 - 4, 14 = 5*u - 3*o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -37*p + 29*p**2 - 32*p**2 - 21 - 28*p + 66*p - 25*p = 0. What is p?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0*g)\/(g\/(g*g*g**(2\/21)\/g*g))*(g\/(g\/(g\/g**0)*g*g))**(-7) assuming g is positive.\nAnswer: g**(191\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1204*u**3 + 9*u**2 + 108*u + 5. Let j(c) = 1806*c**3 + 14*c**2 + 168*c + 8. What is -9*j(a) + 14*w(a)?\nAnswer: 602*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -7161 and -7185 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -6, 2\/11, -6\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mi when two letters picked without replacement from mlasimm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8700)\/(-45) - (2\/(-3) - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/(((z**(-3\/7)\/z)\/z)\/z))*z\/(z\/z**3*z))\/((z\/(z**4*z*z)*z)\/z*z*z\/z**24*z*z*z) assuming z is positive.\nAnswer: z**(151\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20955 divided by -3\nAnswer: -6985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**2 - 13*o + 72. Let c be n(0). Solve 66 = -6*x + c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -15. Let j = o + 9. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.87 - 2.13. Let u = -110.3 + 110. What is the closest to 0.1 in t, 0.9, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85.424647 + 21.929559. Let r = -111.3542 + m. Let c = r - -4. What is c rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800 is divided by 65?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 2. Suppose 0*l = -2*l - 2*s + r, 4*l - 4 = 2*s. Suppose 59 = 4*g - l*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -696, -832, -968?\nAnswer: -1104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 908.7311 years in centuries?\nAnswer: 9.087311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.358 + 0.658. Let a = -2 + 4. What is the closest to 0 in s, 5, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 5*y + 15, 5*b - 5*y - 12 - 13 = 0. Suppose l - b*l + 304 = 0. Suppose i + l = 3*i. What are the prime factors of i?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624498 minus -160000?\nAnswer: 784498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = 11*w + 18. Find the third derivative of -14*o**2 + 14*o**w - 8*o**5 + 8*o**5 - 7*o**6 wrt o.\nAnswer: 840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -8, 1 in descending order.\nAnswer: 13, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10708 divided by -1?\nAnswer: -10708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w + 3*w - 5*w + (-5 + 2 + 2)*(w - 2*w + 2*w))*(-2 + 2 + w) to the form a*w + d + h*w**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 898.357 seconds?\nAnswer: 898357000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020543.678ns to weeks.\nAnswer: 0.000000001687406875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42244 - -2?\nAnswer: 42250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -23430 plus 4485?\nAnswer: -18945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**3\/6 + v**2 - 6*v. Let i be z(5). Suppose i*t + 73 = 2*w + 2*t, 142 = 3*w - t. Round w to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*t + 15 = 0, 0 = -3*h - t - 3. Suppose 2*b = -h*b. Solve -5*i = -5*n, b = -3*n - 2*i - i + 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.07 + -0.997. Let d = m + 0.127. Put -1\/7, d, 5 in decreasing order.\nAnswer: 5, d, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-307 + 5670*u**2 - 5670*u**2 - u**3)*(-u + 5*u + 0*u) to m*u + j*u**3 + i + f*u**4 + b*u**2 and give m.\nAnswer: -1228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdmq when four letters picked without replacement from {q: 4, d: 3, m: 6}.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1610, -1769, -1924, -2075?\n\"Answer: 2*f**2 - 165*f - 1447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 10*j - 2*j + 5*j - 14*j. Let n(p) = -106*p**2. What is i(n(w))?\nAnswer: 106*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 4, w: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.934 - -0.066. Sort u, -0.1, -0.3, -1 in descending order.\nAnswer: u, -0.1, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - r**2 - r. Let b be l(-2). Suppose -17*z - b = -20*z. Solve 20 = -5*t - a, -z*t = -3*a + 6*a + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 + -86.998117. What is u rounded to 4 decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1748\/114*267\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s + 2. Let o be (-1 + 9)*(s + 0). Suppose -o = -7*p + 3*p. Calculate the smallest common multiple of p and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 203 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 493 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22714487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, y: 1, n: 4, i: 3, d: 1}. Give prob of picking 3 n and 1 y.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 12*h - 7*h - 3*h - 7*h. Let k(t) = 3*t**2. Determine s(k(w)).\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v - 40 = -5*x, -19 = -v + 4*x. Solve 5*o - v = -3*g - 2*g, 2*o = 2*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -10202*k + 846763. What is q(83)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 9:59 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -153 - -274. Factor 237*o**2 - d*o**2 - 120*o**2 + 16.\nAnswer: -4*(o - 2)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6*w - 34 = 2*b, w = 4*b + 23. Let p be (21 - 7)*(-6)\/b. Is ((-23)\/(-4))\/(1\/p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 56 = -j, -2*j + 15 = m - 52. Suppose r - 5*r = j. Let t = r - -88. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-496838)\/1476)\/(-73)*-18?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -479\/11 - -17128\/385. Find the common denominator of -9\/56 and x.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114319232?\nAnswer: 2, 893119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + k**2 + k. Let l be t(2). Let r = l + 2. Suppose 0*s - 1 = -s. Sort s, r, 5 in ascending order.\nAnswer: r, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {q: 12, x: 7}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 + -1.1. Let n = -18 + 21. Put n, -9, p in increasing order.\nAnswer: -9, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*a**3 - 396*a**3 + 9*a + 94*a**3.\nAnswer: -501*a**3 + 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 31.023. Let y = -38611.023031 - -38611. Let c = y + p. What is c rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/98 - -193\/294. Which is the nearest to -2\/3? (a) 0 (b) u (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439372 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/32 - 1446\/8. Suppose 3*g = -22*l - 4011, 51*l - 49*l = -3*g - 351. Does l = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q - 48767 + 11220 = 732145. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -3192826.\nAnswer: -1277130.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 12:28 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8752\/547 + 6 + 0 - 43?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 23. Calculate the remainder when 34 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/44*16\/(-30)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180, 178, 176?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 10 = -26*x + 21*x, -3*x + 60 = 15*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, v: 2, o: 8, d: 2, q: 5, a: 1}. What is prob of sequence vaqq?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12407218297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y + 8. What is the units digit of h(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 5 - 5)*(0*j + 0*j + 2*j**2) + (-4*j + 3*j - j)*(j + 2*j**2 - j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -40.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41397?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 3*n - 4*n)*(-97*n + 192*n + 15*n**2 - 96*n).\nAnswer: -120*n**3 + 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 4*b**2 + 7*b + 4. Suppose 4*v + 10 = 2*v. Let p be r(v). What is the remainder when (132\/(-9))\/(1\/p) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -53. Let t = d - -16. Suppose -2*p = p - t. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 1 = k, 0 = s - 5*k + 235 - 264 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 6:43 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3501?\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 17 + 31 + 24 + 10 + 0.\nAnswer: f + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4662.489us in seconds?\nAnswer: 0.004662489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153398715 is divided by 153.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 41 + 9 = 0. Let g = 281 + -356. Let z = 92 + g. What is the remainder when z is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 5, -174.\nAnswer: -174, -1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 36192*j**2 - 166800744*j + 27629200736.\nAnswer: -2*(j - 8962)**2*(j - 172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5692*p**2 - 1137*p + 1 wrt p?\nAnswer: -11384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-63)\/(-6))\/((-2)\/(-4)). Let x be 14*(54\/12 - 1). Suppose -24 = 5*r - x. Solve 4*n - 31 = -5*c, 5*n - r - m = -2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23047, 45908, 68769, 91630, 114491?\nAnswer: 137352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**2\/2 + 610*k + 6075\/2 = 0?\nAnswer: -1215, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 4*i. Let u be m(4). Let l = -21 - -503\/24. What is the second biggest value in u, 2\/3, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -763 (b) -1\/8 (c) 6\/5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 7:29 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71.802 + -2.802. What is the third smallest value in -0.4, u, 0.4, -3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 6:31 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -15. Let s = 11 + z. Let b = s - -1.5. What is the third smallest value in 2\/13, b, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/(-3) + (-1)\/3. Let t = 60525 - 60522. Solve 2*g - 3*u = -4*u + t, -g + 2*u = -j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 2. Suppose -z = -n + 3*i, 3*i - 2 + 14 = -2*n. Solve -4*v - 8 = -n*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1018, -2035, -3052, -4069, -5086, -6103?\nAnswer: -7120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/10179444 and 67\/20718?\nAnswer: 30538332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109670 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2242 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-20))\/((-402)\/(-2010))*(-8)\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2, -10111, 0 in decreasing order.\nAnswer: 0, -2, -8, -10111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1297482, -2594968, -3892454, -5189940?\nAnswer: -6487426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 6*u**2 - u**2)*(5*u - 12*u + 2 - 4*u)*(2*u**2 + 0*u + 0*u).\nAnswer: -22*u**5 + 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3120 (base 9) in base 15?\nAnswer: -a26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {g: 1, i: 8, x: 9, w: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 52.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = -12*g - 6. Let n be 10\/5*15\/g. What is the greatest common factor of 6 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-126)\/(-1701))\/(4\/36). Which is the second biggest value? (a) -3 (b) s (c) -337\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1173567*s**3 - 26*s**2 + 16*s + 104?\nAnswer: -7041402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/9 (b) 2\/21 (c) 0.4 (d) -5\/3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 10*r + 19. What is h(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7 - 4*g - 9 + 19. Let k be s(-1). What is the first derivative of 2*b**2 + 2 + 13 - 2*b**2 + k*b**2 wrt b?\nAnswer: 14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p**3 - 5*p**2 - 4. Let c(y) = -6*y**3 - 4*y**2 - y - 4. Let w(r) = -6*c(r) + 7*m(r). Is w(11) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104960 and 9840?\nAnswer: 314880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-2*z**3 + z**3 + 3*z**3)*(-2 - 2 + 1).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**2 - o**2 + 0*o**2 + (-2*o + 4*o - o)*(1 - 1 + o))*(16463 - 11*o**2 + 2*o - 16463).\nAnswer: -55*o**4 + 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.1, 3.698068, -1\/8 in decreasing order.\nAnswer: 4, 3.698068, 0.1, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((308\/462)\/(-1 + -1))\/((-2)\/((-24)\/764)).\nAnswer: -1\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**5*x)\/(x\/x**(-6))*(x*x\/(x\/((x\/(x**0*x))\/x)))\/(x**(-2\/9)*x)*((x**(1\/4)\/x)\/x*x**(-2\/7))\/(((x**5*x)\/x)\/x*(x\/x**(-1\/7))\/x) assuming x is positive.\nAnswer: x**(-1753\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from rrdddyrdyqddydqydyr.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 512.0233 rounded to one decimal place?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -172, -180, -192, -208?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/50*5*138?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d + 104. Determine l(-21).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 226981481 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 526542.6ml to litres.\nAnswer: 526.5426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 899051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o + 2. Suppose 2*f - 1 = 3*f. Let l(v) = v. Suppose -2*y = -4 - 0. Give f*d(a) + y*l(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 72 + 42 = 0, 3*f - 30 = -3*l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/923670 and -51\/550?\nAnswer: 4618350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + 0 + -1 + (3*sqrt(1539) + 4)**2.\nAnswer: 218*sqrt(19) + 13866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*b**2 - 165 + 183 - 18*b**2 - 5*b**2 - 18*b**2.\nAnswer: 25*b**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 0, -2, -0.7, -5, -26, -83\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 8*a + a)*(1 + 1 + 4) + a - 4*a + a + (-a + 3*a - a)*(2 + 2 - 5) - 1 + 1 - 2*a.\nAnswer: -47*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 4486.\nAnswer: 8972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdsssfbbbdbdbisd. Give prob of picking 1 d, 1 f, and 2 b.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 56 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6134368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z - 4. Let v be i(4). Is -251*(v + -3)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(2) + (sqrt(44)\/sqrt(2))\/sqrt(11) + (sqrt(2) - (sqrt(2) + sqrt(108)\/sqrt(6)))**2 - (sqrt(2)*-5 + -4 - (-2 + sqrt(200))).\nAnswer: 20 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 46*k**2 + 713*k + 37. List the prime factors of g(56).\nAnswer: 5, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p - 40*p + 34*p + 51 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -33135 divided by -11045\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -107, -125, -107, -41?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.05216005490908 and -33.\nAnswer: -32.94783994509092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**3\/4 - 15173*i**2\/4 + 365209*i\/4 + 7309757\/4 = 0.\nAnswer: -15197, -13, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 1)*(-2)\/6. Let o be -1 + (4 + l - -10). Let c = o + -7. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/((-33)\/396341 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -133, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 10*n**2 - 9*n - 21. Let h be v(11). Let d(s) = -s**3 + 3*s - 2. Let j be d(h). Solve j*k - 4 = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 6 = -0*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*n, 4*n = -c + 3*c + 16. Let m(x) = x**3 - 6*x**2 + 4. Let o be m(6). Suppose o*q = c*q + 22. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -131.1083 and -1.\nAnswer: 131.1083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - h + 3. Let j be f(0). Suppose l + 4*x = -11, 0 = -x - 3. Suppose -4*v = -9 + l. Solve -2*d + v = -j*a, -a = 3*d - 4*a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 40948\/11, -5, 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 9) to base 3\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 1)\/(3\/(-63)). Suppose 2*w - p = -19. Which is bigger: 4\/37 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 + 1379?\nAnswer: 1882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40\/30*36\/16. Let m(j) be the first derivative of -5\/2*j**2 - 1\/4*j**4 - 5\/3*j**v - 2 - 6*j. Calculate m(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89032 and 55118?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 - b**3 + 2*b**2)*(-3*b + 7*b - 3*b) + (32 - 32 + 9*b**2)*(-10*b**2 - 24*b**2 + b**2).\nAnswer: -298*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 48 - 12. Solve 6*n - j = -0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2852*j**5 - 3*j**2 + 178.\nAnswer: -171120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3.33*51547\nAnswer: -171651.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1130*t**3 + 566*t**3 + 552*t**3.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0, -0.4, 12 in increasing order.\nAnswer: -0.4, 0, 0.2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1668 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: What are the prime factors of 1871405727?\nAnswer: 3, 623801909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/55)\/((-1136)\/(-3124)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*sqrt(76)\/sqrt(4))**2.\nAnswer: 30*sqrt(19) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1729 is divided by 191?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1587018 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1 - 1 + 5*c - c**2 + 0. Let l be u(2). Suppose x = -4*p + 63, 4*p + p + l*x = 76. Calculate the greatest common factor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2803.232 rounded to the nearest ten?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*z - 21 = 6*z, -15 = 4*w + 5*z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 829*c - 32239 = 42371. Calculate the highest common divisor of c and 8390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 6:34 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11928 and 2485.\nAnswer: 59640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-12) + 23\/(-6). Let t = -2 - n. Let a(k) = -5*k + t*k + k + 1 + k**3. Give a(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 327691.\nAnswer: 2949219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**2 - 19*t - 1. Calculate k(-8).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4.989819 years?\nAnswer: 0.04989819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a micrometer in nanometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*f - 3 = -2*r, 4*f - 7 = -r. Let w be 2 - -1 - (-1 + 0). Suppose 8*z + 9 = 11*z, 5*z - 13 = 2*y. Put y, r, w in decreasing order.\nAnswer: w, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, q: 1, y: 2, v: 1}. What is prob of sequence vvvy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2687.\nAnswer: 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-21)\/1)\/(5\/(-295)). Let t = a + 361. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y + 19. Let x be d(7). Let z = x - -21. Calculate the remainder when 31 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(1 - 11 - 7)*(0*v + v + 0*v).\nAnswer: -17*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -1\/3*l**3 + 0 + 4*l + 0*l**2. Let u(o) = 3*o**2. Determine u(d(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 3:55 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 579165620?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 1 - (46 + -51).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -5e381?\nAnswer: 5e380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.52 + 6.52. Sort -6\/77, -0.4, n.\nAnswer: n, -0.4, -6\/77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r**(-3))*r**(-4\/15) assuming r is positive.\nAnswer: r**(41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 7:26 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2790*l - 172924. What is k(62)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*5902.\nAnswer: 8853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -205 + 208. Find the second derivative of 254*k + 4*k**4 - 217278*k**3 + 217278*k**z + 11*k**2 wrt k.\nAnswer: 48*k**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119 divided by 119.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - j**2 + 7*j + 21*j - 5 - 30*j + 4*j - 3*j**3 as q + f*j + p*j**2 + l*j**3 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 10*o + 1. Let j(q) = q. Calculate -h(k) + 6*j(k).\nAnswer: -4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*n + 7 = 65*n - 8. Suppose 0 = -4*p - 4*d - 3 - 1, -3*d + 1 = 4*p. Suppose -i + 2 = -0. Solve -2*y + n*q - 13 = -y, -i*y = q + p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2846841541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 10:53 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -50\/7, 3\/19 in decreasing order.\nAnswer: 3\/19, -50\/7, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 6. Let i = 11 - 9. Let m be 1 + (6 - i\/2). Determine y(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -894227998*w + 255587648 wrt w?\nAnswer: -894227998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2736) + 1 + 1 + sqrt(2736))*5 + 5)*3*2)**2.\nAnswer: 129600*sqrt(19) + 9857700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -30, -42, -70, -120, -198, -310, -462, -660?\n\"Answer: -z**3 - 2*z**2 + z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -11*b**6\/3 + 10*b**3\/3 + 11. Find the third derivative of g(n) wrt n.\nAnswer: -1320*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/5 and 717.9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44385605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -423.\nAnswer: 2\/423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**3 + 0*i**2 + 0 + 5\/4*i**4 - 36*i - 21\/20*i**5. Factor f(o).\nAnswer: -3*o*(o - 1)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**5 + 24*f**4 - 708*f**3 - 1480*f**2 - 750*f = 0 for f.\nAnswer: -25, -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3533\/3 or -90\/433?\nAnswer: 3533\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27543476 (base 8) to base 2.\nAnswer: -10111101100011100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, o: 6}. Give prob of picking 1 o and 2 l.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvlvk. What is prob of picking 1 k and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.1 + 3.8. Let p = -287 - -291. Suppose p = j - 2*k, 0 = -4*j - 4*k + 16. Which is the closest to 0? (a) -0.1 (b) j (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3640*2.\nAnswer: -7280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/84 and (4\/5 - 527\/(-85)) + 514\/(-56).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/2 + 390*24\/18. Suppose n = -3*s + 7*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27416237 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**2 + 20*j + 14. Let t be 22*((-44)\/(-56) + (-4)\/14). Let w(q) = q**2 - 7*q - 5. What is t*w(m) + 4*v(m)?\nAnswer: -m**2 + 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -4*s + 48, 734 = 2*j + 3*s + 698 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15753 (base 9) in base 10?\nAnswer: -10821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1168\/216*(-6)\/8. Let g = 50\/9 + j. Which is the smallest value? (a) -10\/7 (b) 1\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 5, p: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6678446*n**4 + 1563898*n wrt n.\nAnswer: -80141352*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**2 + r**2 - r**2 + (-2*r + 6*r + r)*(3*r + 0*r - r) + 1 - 1 - 2*r**2.\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27019 + 0.012113.\nAnswer: -27018.987887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1626\/5 + -360. Is z at least as big as -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 + 0*w + 0*w - w**4 - w**2 + w**2 + (-w**3 - 4*w**3 + 6*w**3)*(-2*w - 3*w + 3*w) + 0*w**4 + 2*w**4 - 3*w**4)*(269*w - 128*w + 312 - 140*w).\nAnswer: -5*w**5 - 1560*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1111 - -1095. Which is smaller: z or 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*v = 5*g + 11190, -4478 = -2*v + 4*g. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmthuttumu. What is prob of sequence mhu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + 1 + 18\/6. Let h be y - ((-2)\/4 + 75\/(-10)). Let d = 10 - h. Solve 0 = -c + r + 2 + 3, 0 = d*c - 2*r - 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*u + 61*u - 184*u**3 - 36 + 2*u**2 - 122*u + 36 as b*u**2 + r*u + a + w*u**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1116709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0, -0.3, -1\/94 in decreasing order.\nAnswer: 0, -1\/94, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 q when four letters picked without replacement from qqvqvqvqvqvvvq?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2 + 1.398. Let g = d + -0.19677. Round g to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 74.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (236\/295)\/((-21)\/(-14))?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/9)\/(8\/(-6)). Let y be 10\/(-2) - (-1 - -1). Sort -1, y, n.\nAnswer: y, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -19*c. Let q be a(1). Let p = 15 - q. Suppose 256 = 3*t + p. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.48979 centuries?\nAnswer: 54.8979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-6*-2*sqrt(110) + sqrt(110))\/(sqrt(360) - (sqrt(360) - -3*sqrt(360)))*-2)**2.\nAnswer: 7436\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*1090\/(-109)*-3?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.16 * -0.0208108.\nAnswer: -0.065762128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 243, 246, 251, 258, 267?\n\"Answer: u**2 + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245 and 174111?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000000000 - 101?\nAnswer: -1011000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 - 2954610 + 5909234 - 2954624 + 2*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 15. Suppose j - k = 1. Suppose -j*i + 97 + 35 = 0. Solve 5*z + 15 = 3*b, -4 - i = -4*z - 3*b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1512 + 1499. Let k(s) = -s + 4. Let r be k(0). Which is the third smallest value? (a) r (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54743376100 to the nearest one million.\nAnswer: -54743000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 232 + 92. Let d be (-156)\/y*-3 + (-6)\/(-27). Suppose -47 = -d*k + 121. Is k a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a**0\/a)*a**(-3\/7)*(a**(1\/3))**(-39) assuming a is positive.\nAnswer: a**(-87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*p - 2*p. Let h be 705\/p*6\/(-8). Let l = -56 + h. Which is the third biggest value? (a) l (b) 2\/9 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) -0.1 (c) 4 (d) -0.3 (e) -755\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s. Let x(i) = 65*i**2. What is h(x(w))?\nAnswer: 390*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/25 + -4 - 2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16446295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0458 + 2.9542. Which is the nearest to y? (a) 5 (b) -5 (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18315 is divided by 9154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**4\/8 + t**3\/6 - 4*t**2. Determine r(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 26. Let p be b(0). Let i be -2*(-47)\/p - (-9)\/3. Let x = i - -59\/117. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56383.18 centuries in months?\nAnswer: 67659816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111010 (base 2) to base 11.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3569*c = 3572*c - 7*l + 2, -5*c + l = 14 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oss when three letters picked without replacement from ooosoos.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 53\/4 of a millennium?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s. Let a(y) = y**2 - 474. Determine z(a(v)).\nAnswer: -v**2 + 474","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168733.\nAnswer: 31, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 316101 to the power of 1\/2, to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (1 - 248\/2). Suppose 3*k = 5*k + w. Let q = k + 116. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139345, -278678, -418015, -557356, -696701?\nAnswer: -836050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.49 - -6.89. Let x = u + -6.6. Which is the second smallest value? (a) 2\/7 (b) x (c) -2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a - 15*a**2)*(-a - 10*a - 5*a - a**2).\nAnswer: 15*a**4 + 240*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3251, -3\/8, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 6*w. Suppose 0 = -t + 3*t + 12. Let d be r(t). Let j(g) = 3*g**2 - 8 - 4*g**2 - g**3 - g + 0*g**2. Determine j(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**3\/5 - 36*r\/5 - 48\/5 = 0. Calculate r.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -67*n**3 + 202*n**3 + 2*n**3 - 3*n**3 + n**3 - n**3 - n**3 - 3*n**3 + 3*n**3 + (-n**3 + 2*n**3 - 2*n**3)*(2 + 5 - 4).\nAnswer: 130*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0377479 to 4 dps.\nAnswer: 0.0377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*i = 61*i - 15. Suppose -3*p + 11 + 4 = 0, -2*r + 11147 = -i*p. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2. Let f(s) be the second derivative of -1\/2*s**2 - 3 + 2*s + 14\/3*s**3. Determine i(f(g)).\nAnswer: -784*g**2 + 56*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*y - 84, 2*y + 2*x = -y + 68. Suppose 0 = 4*g - 8*g + 184. What is the remainder when g is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (5 + (-8 - (1 + -3)) + -5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 7)*(-24*j**4 + 31*j**4 - 44*j**4 - j**3).\nAnswer: -222*j**4 - 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t - 7*t + 7412 = 0. What is the smallest common multiple of t and 2?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 55.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/36)\/(w**(-1\/5)\/w)*((w*w*(w\/(w\/(w**(7\/5)*w))*w)\/w*w*w)\/w)**(-23) assuming w is positive.\nAnswer: w**(-4429\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*y**2 + 87 - 24*y**4 + 28*y**2 - 188*y**4 wrt y?\nAnswer: -5088*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.48 + -68.52. Let h = r - -68.7. Sort -0.05, -5, h.\nAnswer: -5, h, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*u - 73 = 0, 81 = 6*s - 11*s + 4*u. Sort 4, 5, 2, s.\nAnswer: s, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*b**2 + 4 + 46*b**2 + 6 - 10.\nAnswer: -174*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, o: 2, w: 2, y: 1, p: 1}. What is prob of sequence mpw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(-91))\/(84\/(-1323))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)*u**(-1\/4))**(2\/13)\/((u\/(u**(-1\/4)*u))\/(u*u**3*u))**(-10) assuming u is positive.\nAnswer: u**(-630\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 - 5.87?\nAnswer: -155.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from iziziizpzpnizpinzizn.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 13*i**2 + 12*i + 8. Calculate the remainder when 14 is divided by q(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjrrrhrhr. What is prob of sequence rj?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 170 - 37. Differentiate 0*j - 124 + 2*j - n + 268 with respect to j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/152 and 149\/456.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 1\/2, -2, -3.39, -41, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3361.27 - -3361. Sort -5, -2\/11, r, -3.\nAnswer: -5, -3, r, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5350508 is divided by 158?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(-7) + 1 + 1749\/(-3318) and 1\/12.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 1750.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/7)*k**13)**(-24\/5)\/((k**(1\/3))**(-3\/5)\/(((k\/(k\/k**(-2\/11)))\/k*k)\/k**(-1\/8))) assuming k is positive.\nAnswer: k**(-210759\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97505002*y**4 - 40432*y + 271 wrt y.\nAnswer: 1170060024*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1102212 - -230013?\nAnswer: 1332230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**4\/4 - 13*f**3\/3 - 8*f**2 + 31*f - 11. Let q be k(14). Is 0*(q + -4) + 921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1021809 = 470*z - 1053769 for z.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -2 (b) 4\/3 (c) 41 (d) 3 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*o = 5*g + 317*o + 7, 0 = 5*g + 2*o + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 11:52 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(1216\/(992\/(-31))).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 2473*r**6\/3 + 2754*r**2 - 4420. What is the second derivative of n(y) wrt y?\nAnswer: 98920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 + -4 - -11) + -11 - (-2 + 5)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 638?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppdpppppppspde. What is prob of sequence pds?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/23 not equal to 124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/(-6840) - (9 - (-1376)\/(-152)).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**3 + 183*u**2 + 1749*u - 4466. What is c(-18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2 + 21*n - 26. Let c be w(6). What is the nearest to c in 7, 2, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651684 smaller than 652178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 6*q - 6. Let i = -154 - -157. Suppose i*d = -n + 7 + 2, 2*d + 22 = 4*n. Calculate v(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.2385995 to one dp.\nAnswer: -22.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6992.179ml to litres.\nAnswer: 6.992179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 99.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.1 (b) 121 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/41274 and 71\/89427.\nAnswer: 536562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086461587 to the power of 1\/2, to the nearest integer?\nAnswer: 32962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*v - 26. Sort v, -5, 9 in decreasing order.\nAnswer: 9, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 19*b**2. Let l(i) = 1092*i**2 + 946*i**2 - 1496*i**2. Determine l(f(c)).\nAnswer: 195662*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 113, 119, 127, 137?\n\"Answer: c**2 + 3*c + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 36\/(-24))*164. Solve -z*n + 91*n = -27 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-34493)\/(-34))\/((-17)\/6 + 3).\nAnswer: 3, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1dea - -2?\nAnswer: -1de8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, 103, 293, 557, 895, 1307, 1793?\nAnswer: 2353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 572*i + 22*i + 9*i - 115*i + 710*i.\nAnswer: 1198*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.059? (a) -1 (b) 2\/3 (c) 0.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30548*j**2 + 24*j*n**2 - 228*n**2 + 46*n - 77 wrt j.\nAnswer: -61096*j + 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 - 3)*(2 + 0 - 1) + 3 - 5 + 1)*(-2 + 2 - 2*g**2) in the form b*g + t*g**2 + v and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2) - (sqrt(98) + 1 - sqrt(98))) + -5.\nAnswer: -8 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2040774693?\nAnswer: 3, 680258231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -849 or -933?\nAnswer: -933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 u, and 1 v when three letters picked without replacement from {q: 2, u: 4, s: 1, r: 1, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + 5*sqrt(140))\/sqrt(7) - (sqrt(60)\/(-3*sqrt(12)*-2))**2)*-3.\nAnswer: -33*sqrt(5) + 5\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 19*m + 63. Determine y(-23).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -388, -1586, -4004, -8062, -14180?\nAnswer: -22778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 9*h - 197. Determine o(21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.966 + -4.766. Let b = 11 - 7. Let s be b\/(-26) - 0\/(-2). What is the second biggest value in s, c, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.9 (b) -10 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4129*o - 4214. What is v(1)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006933353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4218 + 7544. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1741, 1, 3506, 4.\nAnswer: 1, 4, 1741, 3506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(30\/6)*-3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.9*-0.09\nAnswer: 0.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 - 379 = -183*j + 133 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -210 + 211. Let q = 2.5 - 2. What is the smallest value in q, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 358, 627, 1268, 2281, 3666, 5423?\n\"Answer: 186*k**2 - 289*k + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.637 + -0.637036552. What is l rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -1795*v**8\/112 - v**5\/15 - 11*v**4\/6 + 157*v**2 - 1. What is the third derivative of o(j) wrt j?\nAnswer: -323100*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 14. Let o be d(10). Suppose -2*q - 80 = -6*q. Suppose 3*v = 4*m - q, 4*v - 6*m = -m - 25. Which is the closest to -0.1? (a) o (b) v (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -280, -2283, -7740, -18379, -35928, -62115, -98668, -147315?\nAnswer: -209784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*g**4\/5 + 38*g**3\/5 - 84*g**2\/5 - 32*g\/5 = 0. What is g?\nAnswer: -8, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -13*s - 7. Determine w(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1 - 11 - v - 2*v. Let l(a) = -4*a + 294. Let b(y) = -3*y + 236. Let f(c) = 5*b(c) - 4*l(c). Determine -7*f(j) - 2*i(j).\nAnswer: -j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 10:00 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/24)\/(4\/(-6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7020287 a multiple of 415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*o - n = 128*o + 16554, 0 = -5*o + 13*n + 27590. What is the highest common divisor of 124 and o?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*l - 13*l + 19*l - 198 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18527334901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 3:22 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3224*d. Let x(r) = -204*r - 2. Determine x(p(q)).\nAnswer: -657696*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*b - 23, 0 = 2*m - 0*b + b - 11. Let t(v) = v**2 - 2*v - 9. What is the units digit of t(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35562630 and 3330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95299.9 - -95300. Let w = 3\/5 - -1\/15. What is the third biggest value in -0.2, o, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o + 842*o**2 - 4*o - 2236*o**2 - 48 - 3*o wrt o.\nAnswer: -2788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30104*h = 30449*h + 39675 for h.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*t - 6*t + 6*t)*(-11 + 14 + 27 + (3 + 1 - 5)*(-2 + 0 + 0)).\nAnswer: 384*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*t + 8, -t = -2*g - 0*t + 4. What is the third derivative of -2*q**g - 7*q**6 + 6*q**6 + q**2 wrt q?\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 20. Suppose i + 3*p - 10 = 33, 3*p = -o*i + 203. Let t(j) = -40 - i + j + 81. Let v(g) = -3*g - 2. What is 2*t(m) + v(m)?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8861823979 to the nearest integer?\nAnswer: 2069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) 0.2 (c) 5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o + o + o + (-3*o + 3*o - 2*o)*(-2 + 3 - 2) + 0*o + o + o + 5 - 5 + o - 2*o + o + 3*o - 2*o - 1 + 1 + 2*o + 4*o - 14 + 13 to q*o + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 180 = 4*l, -5*l - 4 = 4*z - 180. What is the remainder when z is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5818 by -23123.\nAnswer: -5818\/23123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2210 (base 3) to base 8\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**5\/2 - 505*v**4 - 31515*v**3 - 600480*v**2 - 5852925*v\/2 + 8515125 = 0.\nAnswer: -87, -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 + 108 - 69 - 2*t**3.\nAnswer: -2*t**3 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2935 by -1016.\nAnswer: -2935\/1016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14590?\nAnswer: 2, 5, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/72*114\/6517.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -775\nAnswer: 1\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/4*7\/21. Let q = 0.17 - 0.17. Which is the third smallest value? (a) q (b) -0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -35*r. Suppose -5*c = -5*j + 360, 7 - 2 = 5*c. Suppose 20*l - 2*p - 39 = 19*l, -5*l = -3*p - 188. Let z(i) = 38*i - j*i + l*i. Determine u(z(t)).\nAnswer: -70*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*v - 5422997, 4*s - 5*s - 1084597 = v. What is v rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2308 - 6932 = -28*q. Calculate the greatest common factor of q and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 245337 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a factor of 11574332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**2 - 3920*c - 2330728 = 0.\nAnswer: -478, 2438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*c = -53*c + 417 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 10. What is the first derivative of -7 + 0*x**2 - x**v - 71*x + 71*x wrt x?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ca - -1748?\nAnswer: 1845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -13 + 82\/14)*(7 - 4)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40898 and 38478?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/30)\/(2\/(-9)). Suppose p*g - 12 + 3 = 0. Suppose 0 = g*i + 10 - 4. Let l(h) = 3*h - 2. Give l(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -1684748?\nAnswer: -1684744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/3 - 4*b**2 - 32*b\/3 + 64.\nAnswer: 2*(b - 6)*(b - 4)*(b + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-1)*39\/(-312)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = -u. Let m(d) = -d**3 + 6*d**2 + d + 1. Let y be m(6). Let s(j) = -y + 3*j - 4*j + 3*j. What is s(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26549.84 micrometers to meters.\nAnswer: 0.02654984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9688898*-0.56.\nAnswer: -5425782.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2074211 and 2641?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**2 - 2*x - 3. Give d(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 15*v**2 + 6*v. Suppose 4*x + 0*u + 8 = -4*u, -u - 5 = 4*x. Let d(a) = -a**2. Let g(l) = x*p(l) - 12*d(l). Find s such that g(s) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 2*f + 3*f)*(-54*f**2 + 63*f**2 - 1204*f**2).\nAnswer: -1195*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000841835166 to 5 dps.\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, -0.03, 253574, -3.\nAnswer: -3, -0.5, -0.03, 2, 253574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -96 (base 11) to base 5\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-612630)\/81*(3 + -3003). What is i rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -44. Let t = 16 + h. Let g = 1 - 6. Which is the closest to g? (a) -5 (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/8 + 3625*l\/8.\nAnswer: -l*(l - 3625)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 >= 2\/28471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9279 - -9315. What is the greatest common factor of j and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 2*p - 6. Suppose 7 - 2 = -i - z, -2*i + 5*z - 3 = 0. What is a(i)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2634015187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*l**2 - 478063377*l + 478063377*l.\nAnswer: -97*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o**3 + 6*o**2 + 5*o - 6. Let j(i) = 5*i**3 - 5*i**2 - 4*i + 5. Let b(k) = 5*j(k) + 4*z(k). Give b(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1899597 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: Solve 5*w - 4*x = -18, 2*x + 0 = -3*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90621830 - -64260146. Let k = t + 26361683.69600223. Let j = -0.304 - k. What is j rounded to 7 decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4440*a**2 + 4*a + 24 + 2191*a**2 - 4*a**3 + 2250*a**2 as g*a**2 + s*a**3 + x*a + v and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.265 - 18.243693. Round u to four dps.\nAnswer: 0.0213","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7613270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*y + 3*y**4 - y**4 - 28*y**4 - 5*y wrt y?\nAnswer: -312*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001011 (base 2) to base 7.\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -831*h - 2*l = -805*h - 42, h + 5*l - 105 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -2 (b) 2\/11 (c) 5 (d) 2\/7 (e) 389 (f) 276\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 5 - 10*l)*(-65*l**2 + 522 - 522) as b*l**2 + n*l + g + x*l**3 and give x.\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12440, 12328, 12216, 12104, 11992?\nAnswer: 11880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 o, and 1 u when four letters picked without replacement from {c: 4, o: 3, u: 1, p: 6}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/2865970 and 17\/3704.\nAnswer: 11463880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + -64?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**4\/12 + 8*b**3\/3 + 35*b**2\/2 - 8*b. List the prime factors of i(15).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 155984132, 155984131, 155984130?\n\"Answer: -v + 155984133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -319 + 17360. What are the prime factors of z?\nAnswer: 17041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12937 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j - 5 + 5)*(1 - 4 + 4) - j - 2*j + j to the form i + z*j and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1470, 1466, 1452, 1422, 1370, 1290, 1176?\n\"Answer: -v**3 + v**2 + 1470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (5 - (-5 + -13 + 4)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10169 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271 a factor of 97700251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*52648193.\nAnswer: 42118554.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3176 = -3206, -4*x = 4*y + 16 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1079.264 to the nearest 10.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - 19. Let y = 31.69 + l. Round y to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18466 - 18931. Sort 2, z, 5 in increasing order.\nAnswer: z, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 124960\/3 + -41653. Let c = 0 - -4. What is the closest to a in 0.2, c, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 1)\/(1\/37). Suppose 14*w - 16 = 12. Suppose w*v - 5*v - 5*d = -i, 0 = 5*v + 2*d - 49. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -5*m - 35, -125*m - 24 = -12*a - 123*m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.8 + 7.2. Let j = 5601 - 5601.2. Which is the closest to 3? (a) 0.5 (b) w (c) j (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 17\/4 of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 27 + -16 + (1 - 2). Suppose -153 = -x*u + 247. Solve 25 = -10*t + 5*t, 0 = 5*h - 5*t - u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*a + 1 - 1)*(-220*a - 39 + 20*a + 16 + 27) as r*a**2 + h + j*a and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 + 1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23914800 and 99864?\nAnswer: 5256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2060970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 30287 to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1162 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 552.592 + -549. Let x = 0.592 - u. Is x != 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1232033232 (base 4) to base 9.\nAnswer: 757380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -4 + 19 + 4 + -1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/108 and -17\/1823796.\nAnswer: 1823796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfei when four letters picked without replacement from {c: 1, f: 3, i: 6, e: 3}.\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -10*(-2)\/(-4) + (5599 - -13).\nAnswer: 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3122.675 to the nearest integer.\nAnswer: 3123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-11) + -6 + 3456\/616.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/3*h**4 - 19\/3*h + 19\/3*h**3 + 17\/3*h**2 - 6 = 0. What is h?\nAnswer: -18, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d*r**3 + 97078*d*r**2 + 14262*r**4 wrt r.\nAnswer: -12*d + 342288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644671663 is divided by 104.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 2*q - 1 = 0, 2*p + 151*q + 6 = 153*q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-3\/4))\/i*(i*i**3\/i*i)\/i*i)**(-19)\/((i*i*i**(3\/7)*i*i\/(i\/(i*i**5)))\/(i\/i**4*i**(-3))) assuming i is positive.\nAnswer: i**(-2161\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 2*v + 1. Let z(k) = 7*k**2 - 17*k + 2. Let s(w) = -2*r(w) + z(w). Find the second derivative of s(u) wrt u.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 5\/2 - (-80)\/(-32). Let u(m) = -11*m. Let t be u(-1). Which is the smallest value? (a) q (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.140312 rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 350\/435 + (-2)\/3. Let j = d - -13\/116. Determine t, given that -1\/2*t - 1\/4 - j*t**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26467 + 26470. What is the nearest to -3 in t, -0.13, -17?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -16 + 3 + 5 + -3 - (89 + -157)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 10:56 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7829 is divided by 192?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12112000 (base 4) to base 2\nAnswer: -110010110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-10)*3\/((-9)\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*i**2 - 7*i**2 + 4*i**4 + 16*i**2)*(i + 4*i - 3*i).\nAnswer: 8*i**5 - 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 + 1283482. Let f(k) = 5*k. What is f(m(o))?\nAnswer: -10*o**2 + 6417410","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 51308 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (87 - 78) + 3 + (-6 - -30).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**2 + 5*a. Let f(l) = l**2 - 2*l. Let k(h) = -5*f(h) - 2*u(h). Let w(m) be the third derivative of -m**5\/60 + 6*m**2. Give w(k(t)).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 10:40 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -23340 (base 5) in base 10?\nAnswer: -1720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 - (37 + (-28 - -24))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*r + 4 + (0 - 1 + 2)*(-3*r - 3 + 3))*(2 - 9*r + 5*r - 15*r).\nAnswer: 19*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-30)*(6 - (-464)\/(-72))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 5*j + 3. Let p(i) = i**3 + 10*i**2 + 8*i - 12. Let v be p(-9). Let c be h(v). Sort c, 2, -0.5.\nAnswer: c, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*v - 40*v - 3*v**2 - v**3 + 3*v**2.\nAnswer: -v**3 + 22*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38315*g*x**3 - 155*g*x**2 + 2*g - 5867512 with respect to x.\nAnswer: -114945*g*x**2 - 310*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from ivrkqbb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2558 or -6193?\nAnswer: -6193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 42677035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 758176\/5, 94, 1 in descending order.\nAnswer: 758176\/5, 94, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*g - 4*s + 51, s - 23 = g. Let b be ((-9)\/(-5))\/(g\/(-150)). Calculate the highest common factor of b and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -206291*i + 3713253. Calculate c(18).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -673 - -690. Suppose -14*o + a*o - 78 = 3*c, 100 = 4*o - 5*c. Solve -n - o = 5*x, -4*n - x - 4*x = 45 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -132726, -530881, -1194470, -2123493?\n\"Answer: -132717*x**2 - 4*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 3. Let o(s) = -20*s + 33. Let d(i) = 5*i - 8. Let q(p) = -9*d(p) - 2*o(p). Let g be q(0). Let c be w(g). Solve -v + 4*v = c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-92)\/276)\/((-9)\/(-12) + (-134)\/(-24))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 8:38 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**18\/v)**(4\/3)\/(v**(5\/4))**(-35) assuming v is positive.\nAnswer: v**(797\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/10 - (-203)\/35. Calculate the greatest common factor of 4 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -134 + 10 - 3674*t**2 + 124 as f + w*t + h*t**2 and give h.\nAnswer: -3674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405890 is divided by 7402?\nAnswer: 6182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.064304 rounded to 1 dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/96*(-4)\/20.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 6. Let p = 0 + u. Let i(r) = -r + 5. Let k be i(6). Which is the closest to 1? (a) 5 (b) p (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1950.4 - 1767. Let v = 168 - i. Let h = v + 15. What is the nearest to 1 in -0.1, -2\/9, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggllgg. Give prob of picking 2 g and 1 l.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*h + 323 + 436 = 0, 5*h - 1300 = -5*o. Is 28 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1716 and 269022.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152 - 152.00000063. What is z rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1061577 is divided by 44232?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*y - 4*i, -3*i + 0*i + 1 = -2*y. Let c = y - -6. Let g = 0.1 + -0.1. What is the closest to 2\/3 in g, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 5*y - 4 = 0, -2*o - 2*y + 8 = -0*y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*v - 513*v - 488*v + 55*v + 33060 = 0 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -270.6985 + -0.3?\nAnswer: -270.9985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1180\/24072)\/(5\/(-3))?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.09348 and -2.\nAnswer: -1.90652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 108411786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 times -0.2?\nAnswer: 21.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*l - 20 = -9*y, 5*l + 25 = 4*y. Suppose 387 = -3*s + 4*a - y*a, a + 3 = 0. Is (-3)\/6*s\/8 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 5*v = 5*a - 92980, -4*a + 74382 = 2*v. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/sqrt(9) + (sqrt(2) - 6*(sqrt(2) - (-1 + sqrt(2)))))**2.\nAnswer: -48*sqrt(2) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 4:36 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from zwwzdwwye?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 4. Suppose 8*t - 32 = -16. Suppose 0 = -5*y + 2*c + 20, y - t*y - 3*c - 13 = 0. Let w(r) = -5. What is y*w(h) + 3*m(h)?\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.93673 + 26838372.\nAnswer: 26838368.06327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11811*v**3 - 2*v + 21628*v**3 - 9820*v**3.\nAnswer: -3*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -102, 1\/4 in decreasing order.\nAnswer: 1\/4, -7, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646 is divided by 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-73)\/(-3))\/((-26)\/624). What is the greatest common divisor of 79 and g?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = 24*q - 75 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 3*v**2 + 0*v**2)*(1 + 2609*v + 1 - 3290*v).\nAnswer: -1362*v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 78*w**3 + 70*w**3 + 75 + 71*w**3 - 80 - 3*w**2 - 232*w**3. Let f(i) = -12*i**3 - 4*i**2 - 6. What is -5*f(l) + 6*j(l)?\nAnswer: -18*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98702 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0228 (b) -2\/7 (c) 1\/5 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28347 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d - 1. Let h(c) = -11*c - 4. Let o(q) = -2*h(q) + 10*l(q). Suppose 12*b + 56 = 14*b. Let g(u) = -16 + b + u - 13. What is 7*g(v) - 3*o(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by 60\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1509772104 divided by -3\nAnswer: 503257368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -104 and -85?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17861\/2 or 8931?\nAnswer: 8931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 1 - 4. Suppose -4*a - 2*f + 128 = 0, g*f = -a + f + 26. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 + 25*m - 94. Let q be y(-22). Calculate the greatest common factor of q and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1315 - -1319. Solve 0 = r*g - 4*j - 32, -9*j = 5*g - 6*j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 3*w = -5*y - 2*w - 24, -w - 106 - 21 - 85 = 52*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - r**2 + 4*r**2)*(-2 + 2 - 2) - 6*r - 4*r + 4*r + r**2.\nAnswer: -3*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/2 - 161331*l**2\/2 - 80664*l.\nAnswer: -3*l*(l + 1)*(l + 53776)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1534\/12709 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 54 = -3*g, 6*g + 6*b = 4*b - 8 + 68 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 8:14 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7884)\/(-270)*(4\/2)\/(292\/(-365)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -v - 6*u - 17, 2*u + 6 = 2*v. Which is the second smallest value? (a) v (b) -1\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*p - 3 = 350*p, 5*i + 27 = -4*p - 0*p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, a: 3, n: 2, j: 2}. What is prob of picking 1 k, 1 a, and 1 j?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w**(-8)*w)*w)\/w*w**0*w)**(-5\/12) assuming w is positive.\nAnswer: w**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 308719 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**2*o**3 - 44131*d**2*o - 77940*d**2 + d wrt o?\nAnswer: 6*d**2*o**2 - 44131*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 + 3*t**2 + 2*t**5 + (2*t**3 + 2*t**3 - 3*t**3)*(20 + 8*t**2 - 20) + 0*t**4 + t**5 + 0*t**4.\nAnswer: 11*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49473*r + 2 + 4 - 6.\nAnswer: -49473*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(0\/14 - 3\/(-2)). Let t be 10 - o - 36\/(-6). Sort t, -0.5, 9\/4 in descending order.\nAnswer: t, 9\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iccddndddiyicdf. Give prob of picking 1 c, 1 y, and 1 f.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/5))**(-2)*b**(-7)*b*(b**(4\/7)*b*b)\/b assuming b is positive.\nAnswer: b**(-169\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -291500 to the nearest ten thousand.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*f - 13 - 18. Is f at least 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/164 and 47\/36.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 5*j**3 + 0*j**2 - 14 + 0*j**4 + 3\/40*j**5 - 1\/120*j**6 + 0*j. Let b(f) be the third derivative of c(f). Solve b(x) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.9 greater than -362989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -86 > -118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/((-224)\/126))\/(36\/96).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/20 - (-5)\/(-20). Let b be -3 - 1\/((-25)\/85). Sort 0.3, b, h.\nAnswer: h, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 124, 62?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2\/7 - 3764*t + 26346\/7 = 0 for t.\nAnswer: 1, 13173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 - 55*c**2 - 94*c**2.\nAnswer: -142*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62*u**4 + 219987*u**3 - 2*u**2 - 2708*u + 1573?\nAnswer: -1488*u + 1319922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4727?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*z**4 + 27487*z**3 - 907730292*z wrt z.\nAnswer: -84*z**2 + 164922*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-14)\/(-6))*7215\/(-962)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*n - 140 + 105 + 89 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 36?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30933.81 millilitres in litres?\nAnswer: 30.93381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9911 - -8453. Is -1458 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**3 + k**2 - 6*k + 6. Let c(y) = 17*y - 17 - y**3 + 14*y**3 - 3*y**2 - 2*y**3. Give -6*c(u) - 17*d(u).\nAnswer: 2*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -8*z + 9*z. Let c(f) = 13*f**z + 26*f**2 - 13 - 10*f**2 - 31*f + 4*f**2. Is c(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -878, -675, -472, -269?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**8\/560 - n**6\/120 - n**3\/3 - 4*n**2. Let g(y) be the first derivative of i(y). Find l such that g(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 3 (b) 0 (c) -0.5 (d) -3 (e) 163\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.16 (b) 2\/3 (c) 170643\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gghllgrlrmggrgghlgg. What is prob of picking 1 m and 1 h?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -622*-1.1788\nAnswer: 733.2136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + r + 30 = 0. Suppose 4*t = -l - 5, -5*t - 2*l - 10 = -r*t. Suppose 0 = -t*c + 3*c - 36. What is the highest common factor of c and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 - (-5 + (7 - 1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1273\/12 + -106. Let l(v) be the third derivative of -i*v**4 + 0 + 0*v - 1\/3*v**3 - 2*v**2. What is the first derivative of l(k) wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9858942855*d + 9858942855*d + 7*d**2.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -1.2. Let w = -4.1 + 9.1. What is the closest to m in -3, w, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 + -44. Let q = a - 5. What is the closest to q in 0.04, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 5*r**2 + 2*r - 4. Let n be z(4). Let i be (6 - (-1 + -1))\/(n\/(-6)). Find the second derivative of -27*o + i*o + 8*o + 19*o**2 wrt o.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 569939, 1139953, 1709967, 2279981, 2849995, 3420009?\n\"Answer: 570014*w - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/29)\/(c\/(c\/c**(-10)*c)) assuming c is positive.\nAnswer: c**(321\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/((s\/(s**(-2)*s))\/s)))**(-37)\/(s**(-2\/13)\/s**(-29)) assuming s is positive.\nAnswer: s**(-1337\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 4, j: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4073270 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45623845 to the power of 1\/2, to the nearest integer?\nAnswer: 6755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 15*k**2 + 60*k - 600. Is n(14) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -1, -29\/2 in descending order.\nAnswer: 4, -1, -2, -29\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (53 - (176 - -15))\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/16)*g*g*g\/(g**(-5)*g)*g)**19 assuming g is positive.\nAnswer: g**(2451\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 8) to base 4\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1344222 and 5577.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3785*w - 664 = -3777*w for w.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -37?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(22) + sqrt(176)\/(sqrt(32)\/sqrt(4)) + -5*(sqrt(22) + sqrt(550)))\/(sqrt(98) - ((sqrt(98) + (2*sqrt(98) - sqrt(98)))*-3 - sqrt(98)))*-1.\nAnswer: sqrt(11)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 26*k**2 - 28*k + 82. Let q = 591 + -566. What is the smallest common multiple of 6 and u(q)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/176? (a) -5 (b) 5 (c) 1.8 (d) 11 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 52 (b) -9.9 (c) 0.5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**5\/20 - i**4\/3 + i**3\/3 - 5*i**2\/2 - i. Let n = -112 + 110. Let g be (21 - 22)*(-10)\/(n\/1). Give z(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(1 - 0)*-18. Let h be (-4)\/m - (-26)\/(-126). Suppose -12 = 6*i - 3*i. Which is the third biggest value? (a) 2 (b) h (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/8 - (-12)\/(-6)*-2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13\/7 - 305\/168. Let f(i) be the third derivative of 0*i + l*i**4 + 7\/6*i**3 + 0 + i**2. Determine f(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 6 + 1)*(-1 + 3 + 0)*(-9*u + 3*u - 8*u)*(3 + 2 - 6)*(-6*u + 1 + 2*u - 3) as f*u + t*u**2 + g and give t.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*f + 6 = 97*f. Let q(l) = -7*l**2 - 3*l - 3. Let x(z) = 7*z**2 + 2*z + 2. What is f*q(r) + 3*x(r)?\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 412062 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77.7 - 65.4. Let n = 418 + -421. Which is the nearest to 0? (a) -0.2 (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/7)\/(10\/(-70)*-2). Let g be 548\/o + -4 - (-9)\/(-18). Calculate the highest common divisor of g and 448.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010100 + -11?\nAnswer: 110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 8. Let c(w) = 9*w**2 + 2*w - 1. Let u be c(i). Let n = -7 + u. Calculate the greatest common divisor of 80 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 0*u - 3 + u to the form k + z*u and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-9)\/2 + ((-162365)\/(-7210) - 18).\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 7. Let z be n(-7). Let p be 2\/(-4) + z\/(-4). Let o be (-1)\/(-2) + (-77)\/14. Put -2, p, o in decreasing order.\nAnswer: -2, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/34567?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-2\/7)*r))**(-1\/10)\/((r*r**(-1))\/r**(-6))*((r**(-4)\/r*r)\/r**(2\/13))\/(r**(-1)*r)**(-2\/17) assuming r is positive.\nAnswer: r**(-4633\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18815 and 210?\nAnswer: 790230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by -1 + 39 + (-2 - (10 - 17)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10122 (base 3) to base 4\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, v: 3, p: 4, o: 1}. Give prob of picking 2 p and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 2*t - 2*s + 2, s = -4*t - 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47d7e (base 16) to base 9.\nAnswer: -487586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -s + o - 6*o, 2*o - 28 = -4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 m when two letters picked without replacement from mrrrrrrrrmrr?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 - 83. Let z = 34.9999812 + x. Round z to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -1 - (-5 - -2 - (-199 + 194))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 87*p**2 - 3*p + 2. Let s be (1\/2)\/((-174)\/(-783)*(-9)\/(-4)). Determine x(s).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -11010011000101001010?\nAnswer: 11010011000101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 14. What is the third biggest value in 1, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6112 - 6113.9768. Let t = 0.0232 - l. Which is the closest to 0? (a) 0.2 (b) t (c) 1.3 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i. Let n be (((-195)\/25)\/(-1))\/((-1)\/(-5)). Let b(v) = 48*v + 59*v - n*v. What is a(b(w))?\nAnswer: 68*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 7 = 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 - 2*v**2 + 29 + 39.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 135 - 133.2. Sort -0.1, 0.3, d in increasing order.\nAnswer: -0.1, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 890 by -447.\nAnswer: -890\/447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 1, o: 2, f: 1}. What is prob of sequence rd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 359493 (base 16) to base 7\nAnswer: 41563305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*g + 100 = 2*f, g = 3*f - 115. Calculate the greatest common factor of f and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 + 73. Suppose -4*k = -4*r - p, -k - 8 = -4*r + 4. Suppose -684 = 4*n - k*n. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -25. Solve -3*i + 4 = 4*q - z*q, -5*i + q = 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.5 (b) 0.5 (c) -91\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 2\/5, 473?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - a - 1. Let b(x) = -x**2 - 4*x. Let r = -8 - -6. Let q be b(r). Suppose 0 = q*j + j + 5. Determine h(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(7\/4)*k*k\/k**21)\/(((k**0*k)\/k)\/(k**(-8)\/k)) assuming k is positive.\nAnswer: k**(-105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 682 (b) 489 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 14*a + 14. Calculate i(7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**2\/2 - 57. Let h(y) = -6*y - 2. Determine h(n(t)).\nAnswer: -6*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 22.6 and -118595.31.\nAnswer: -118572.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 39. Let k = 32.9 - d. Let y = k + -9.9. Is 3 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b5 (base 14) to base 2.\nAnswer: 101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.3 (b) 0.2 (c) -11 (d) 0.1 (e) 80 (f) -1\/4 (g) -425\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 156259063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.4, -2\/123 in descending order.\nAnswer: 0.4, -2\/123, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109 - 106. Suppose 58 = n*y - 2243. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 478311*a + 6218078. Calculate s(-13).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*g - 91, 4*g - g + 62 = -4*f. Let j = 11 + g. Let x = j - -17. Calculate the remainder when x is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115 + -103.2. Let w = -12 + z. Let c = w - -0.2009. Round c to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2\/5 - 6940*k - 34699\/5 = 0. What is k?\nAnswer: -34699, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**3 - 2*t**3 - 2*t**3 + (-2*t**2 + 4*t**2 - t**2)*(53*t + 30*t - 35*t) + 2*t - 2*t - t**3.\nAnswer: 48*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -7\/6, 93, -2, 3\/7 in descending order.\nAnswer: 93, 3\/7, -0.5, -7\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1425*x + 4504*x - 1501*x - 6*x**2 + 3*x**2 - 1497*x.\nAnswer: -3*x**2 + 81*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -10*n**2 + 2*n + 4. Let p be k(-1). Find the common denominator of (-3)\/(-9) - p\/(-20)*14 and -28\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/384230 and -3\/2524940?\nAnswer: 17674580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2353*c*t**2 + 2264*t**2 wrt c.\nAnswer: 2353*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 6. Let n be m(4). Suppose -n*x = -3*x + 5. What is the second derivative of -3*q**x + 0*q + 5*q**5 - 2*q wrt q?\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54.95 + -1.05. Let g = i + 27. Let w = g - -29.3. Which is the third smallest value? (a) -1\/3 (b) -2\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*g**3)*(20*g + 0 - 14*g + 1).\nAnswer: -12*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 847771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13\/16, -3 in ascending order.\nAnswer: -5, -3, -13\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1580\/3160)\/(2\/(-68)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21 - -9857764598\nAnswer: 9857764577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 91*n**2 + 159*n - 590. What is the hundreds digit of k(88)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/5 - 34353*h**2 + 687024*h\/5 - 687012\/5.\nAnswer: 3*(h - 57251)*(h - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11400 plus -0.070226?\nAnswer: -11400.070226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5001534040 + -2?\nAnswer: -5001534042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 1. Let n be j(-2). Let c(k) be the third derivative of -k**4\/12 - k**3 - k**2. Give c(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -124, -250, -376, -502?\n\"Answer: -126*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5 - 1 = -w, 26 = 3*k + 5*w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(32) + (sqrt(8) - sqrt(24)\/sqrt(3))**2.\nAnswer: 1 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 + -2) - (-32 - -27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w**2 - 2*w**2 + w**2 + (-4*w + 3*w - 2*w)*(2798 + 6*w - 4*w - 2782))*(-23 - 3*w**2 + 23) in the form v*w**2 + p*w**4 + u*w + r + i*w**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 72*m - 19. Is d(59) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4085807, 8171613, 12257419, 16343225, 20429031, 24514837?\n\"Answer: 4085806*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -26*x + 140107 - 140107 - 10*x. Let i(r) = -4*r**2. Calculate i(l(n)).\nAnswer: -5184*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 47836420, 47836419, 47836418, 47836417?\n\"Answer: -d + 47836421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2. Let c(s) = -229*s**2 + 62*s**2 + 67*s**2 + 67*s**2. Give c(f(d)).\nAnswer: -132*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g - 19. Let u be m(-13). Suppose u = 27*y - 24*y. Solve -27 = y*b - 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1243061 is divided by 1130.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 8*k**2 - 4*k - 12. Suppose z - 4*c = -24, -3*c = 5*z - 8*c + 60. Let l = 2 - -57. What is the remainder when l is divided by v(z)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*s + 21*s - 2*g = 8, 4*s = 3*g + 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 + -98. Is 39\/2 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211.7954 times -23?\nAnswer: 4871.2942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = v - 2*v. Let h be ((-3)\/9)\/(1\/v). Which is smaller: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, n: 1, g: 6, l: 6, i: 1}. Give prob of picking 1 n, 1 p, and 2 g.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 7:31 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.463974 millennia to centuries.\nAnswer: 24.63974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 37 - 37)*(4 - 1 + 0).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7984 + 9920. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 0 - (-5 - 3 - (-7 - 5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 155 + 105 = 0. Let i be 124*1 - 2\/(-2). Calculate the greatest common factor of i and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5201 divide 110682481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1 = -2*h + 11, 4*p = -12. Let t be 2 - (-2 - (-3)\/h). Solve -2*n = -3*n + t*i + 16, 2*i + 8 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 283815 + -283819. Let i = -37\/2 - -19. Which is bigger: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, r: 5, f: 1, d: 6}. What is prob of picking 2 i and 1 r?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 2) + (-52 - -54).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-8) - (-26)\/4. Suppose 14*v - z*v = 132. Calculate the lowest common multiple of 2 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2304984.\nAnswer: 2, 3, 11, 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + k - 5 = -10, -3*k = 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14342825*x**3 - 1522485*x wrt x?\nAnswer: 86056950*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 3*i + 14551*i**3 - 5571*i**3 - 4358*i**3 - 5834*i**3.\nAnswer: -1212*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -385 + 390. Suppose -4*n + 13 - 1 = 0. Suppose -y*i + r - 11 = 5*r, r + 7 = n*i. Which is smaller: i or -3\/28?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 2457488?\nAnswer: -2457500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003093 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 h when two letters picked without replacement from {i: 1, t: 1, h: 2, c: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 5 (c) 0.06 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1340 + 1357. Is m less than 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 30*a - 35, 0*a + 0*a + 4*a = -5*m + 5*a - 26 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1429962, 1429969, 1429978, 1429989, 1430002, 1430017, 1430034?\nAnswer: 1430053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -106569*a**2 + 53285*a**2 + 53292*a**2. Let u(w) = 235*w**2. Calculate r(u(l)).\nAnswer: 441800*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.7193 - 0.4\nAnswer: 0.3193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqqqqqqcqqqqqqqqqqq. Give prob of sequence cqc.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 176\/(-60))*12?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 516321*p + 1032646.\nAnswer: -(p - 2)*(p + 516323)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**3 + 2*f**3 + 0*f**3 + (7*f**3 - 3*f + 3*f)*(-3 - 1 - 2) to the form w*f**3 + p*f + s*f**2 + y and give w.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 56 + 68 + 76 + 2*i**3 - 251.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**11)**(-45)*t**28*(t\/((t**(-26)\/t*t*t)\/t))\/t assuming t is positive.\nAnswer: t**(-441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k - 6. Let j be d(5). Let v = j + 0. Factor -3\/2*p**2 + 0 + 3\/2*p**3 + 1\/2*p - 1\/2*p**v.\nAnswer: -p*(p - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppfhhpfpppfpf. What is prob of picking 1 f and 2 p?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 + 15*h - 14. Is 4 a factor of g(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 883990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101200221221 + 1111?\nAnswer: 101201000102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**4\/7 - 15621*j**3\/7 - 126189*j**2 - 13778655*j\/7 - 9347250 = 0. Calculate j.\nAnswer: -5150, -35, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -582 + -92. Let v = -466 - y. Suppose 7*b = 1902 - v. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-16) - ((-4)\/(-6) - (-75)\/(-180)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**2 + 1426*z - 1146. Determine b(-286).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -243*y**2 - 45*y - 45. Let t(r) = 11*r**2 + 2*r + 2. Let i = -7749 - -7751. Calculate i*g(f) + 45*t(f).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 40 = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 24 - 21 - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -2, -1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, x: 1, c: 1, o: 1, j: 1}. Give prob of picking 1 j and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 11. Suppose 6*t - 5*t = p. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -777*m**2 - 7764*m + 55. Give x(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 12, -3*f - 2 = 2*r + 2*f. Let w(y) = y - 10. Let q be w(r). Let h be (1 - 5)\/(q\/4). Solve -h = -5*n + 5*d + 9, 0 = 5*n + 5*d - 15 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.00526771356 from 0.4.\nAnswer: 0.39473228644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/3 (b) -1\/4 (c) 0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2. Let z(k) = -5577*k**2. Give z(d(b)).\nAnswer: -5577*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10853013.7 from -500360.\nAnswer: 10352653.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 7*j - 3*j + 70, 80 = 4*x - 2*j. Suppose -8*z + 11*z = x. Solve 3 - z = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 690035603 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000107481 rounded to six decimal places?\nAnswer: -0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, o: 6, i: 2, z: 1, l: 1}. Give prob of sequence zoto.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -52. Let r = 87 + z. Suppose r = 3*d - 19. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 157488 and 12.\nAnswer: 157488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 90*d - 1. Let v = 12 + -11. Is h(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/9 (b) -2\/11 (c) 10.5852 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 607920917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 435687609 divided by -7?\nAnswer: -62241087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cenekccsnccnec. Give prob of picking 2 s and 1 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 1\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408136.\nAnswer: 2, 17, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + 2 + (24 - 20) - (1 + 0 - -8)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-20)))\/y)**22 assuming y is positive.\nAnswer: y**(-462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4504*z - 34 - 2249*z + 34 - 2254*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2381698.\nAnswer: 2, 11, 73, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**2 - 4*d**2 - 3*d**2)*(-d + 2*d**3 + d) - d**4 + d**2 - 35*d**5 + 19*d**5 + 17*d**5.\nAnswer: -3*d**5 - d**4 + d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q - 669. Let n(y) = -7*y**2. Give n(m(v)).\nAnswer: -28*v**2 - 18732*v - 3132927","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*sqrt(1900)*2 + 2)*1*6.\nAnswer: -240*sqrt(19) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -700 (base 11) to base 6.\nAnswer: -3531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 575239961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 298 or -0.1?\nAnswer: 298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(832)*-1*-5 + sqrt(832) - sqrt(832)))**2 + (-3 + (sqrt(1300) + 1 + sqrt(1300) - sqrt(1300)) - (-1*sqrt(1300) + -1))**2)*-5.\nAnswer: -130025 + 1000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 21. Suppose -4*p + 6 = -2*p. What is the least common multiple of m and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1814620?\nAnswer: 2, 5, 90731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25076 + -3.\nAnswer: 25073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -491 + 495. Put i, 210, -2 in ascending order.\nAnswer: -2, i, 210","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2050 and 3216655.\nAnswer: 32166550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*h - 570*h + 412*h - 71*h**2.\nAnswer: -71*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*y - 8. Let w(m) be the second derivative of -2*m**3\/3 + 37*m**2\/2 - 51*m - 3. Let r be w(y). Which is smaller: r or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-3))\/((-9)\/(-837)). Let j = h + -121. Suppose -3*w + 3*i + 15 = 4*i, w + 4*i - 16 = 0. Is j > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-2)\/(-1)*-1. Let z = g - 4. Factor -4*l**2 + l**4 + 3*l**3 + 2*l**2 + l + 5*l**z.\nAnswer: l*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/5 + ((-8568)\/(-105))\/17.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18875 + 1223?\nAnswer: -17652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 897.69 + -1018.7. Let d = -118 - t. What is d rounded to 1 decimal place?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9702231 divided by -3031.\nAnswer: -3201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**3 + 36*z**2 - 378*z - 3314. Give d(-9).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -19c412c?\nAnswer: 19c4128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 526 and 2056134?\nAnswer: 2056134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4254*l**4 - 64*l**2 - 38 wrt l.\nAnswer: -102096*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34842834 divided by 13.\nAnswer: -2680218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(-1\/2))**(-23)\/(u**(-7)*u\/((u*u**(-5)\/u)\/u*u)*u)*(u*u**(10\/9)*u*u*((((u\/(u*(u\/u**(-6\/11))\/u))\/u)\/u)\/u)\/u)**(-2\/103) assuming u is positive.\nAnswer: u**(-1172483\/20394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**5\/11 + 16*a**4\/11 + 28*a**3\/11 - 40*a**2\/11 - 78*a\/11 + 72\/11 = 0?\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (165 + -177 - (-9 - -1)) + 1 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 - 6*p**3 - 5*p**2 + 24*p + 36.\nAnswer: -(p - 2)*(p + 2)*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 0.0165397548461?\nAnswer: -4.9834602451539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**2 - 44*o + 50*o + 1 - 4*o**2 + 0*o**2. Let s be r(-6). Suppose -5*q + q + 16 = 0. What is the nearest to s in -5, 2\/17, q?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12123, 12120, 12105, 12072, 12015, 11928?\n\"Answer: -y**3 + 4*y + 12120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**5\/7 - 118*w**4\/7 + 3383*w**3\/7 - 7484*w**2\/7 + 2460*w\/7 = 0.\nAnswer: -41, 0, 2\/5, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 91*h*k*t**2 - 9*k*t + 210*t**2 wrt h.\nAnswer: 91*k*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and 1\/69 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1152 - 2?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 376, 412, 472, 556, 664?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5259798 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 825 a factor of 2695885500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1489812 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 27*i + 55. Let v be b(6). Let k be 1\/4*8*v\/2. Calculate the highest common divisor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**3 - 17*g**2 - 7*g + 15. Let n(p) = 2*p**3 - 9*p**2 - 3*p + 8. Let u be (10\/6)\/(2\/6). Let h(o) = u*n(o) - 3*l(o). Give h(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.35161 to 3 dps.\nAnswer: -1.352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 5:15 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78948 divided by 1020.\nAnswer: 387\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-3 - (-39 + (2 - 11) + 5))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 602836 to the nearest integer?\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/22 - 101368\/556072. Let j = 802585\/151656 + a. Find the common denominator of 115\/12 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2. Let r = -2525 - -2519. Let l(u) = 7*u**2 - 2*u + 1. What is r*s(o) + l(o)?\nAnswer: o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/48830 and 43\/1586.\nAnswer: 38722190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.18 or 2.7?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 52, 106, 160, 214, 268, 322?\n\"Answer: 54*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 1. Let h be c(-1). Let m be (2 + 12)\/(h\/8). Let s = m - 39. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 143424405 - 224?\nAnswer: 143424141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10735)\/(-339) - 29)*33.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 0 + (-45)\/35. Let g = 13 - 8. Let x = 7.3 + -12.3. Which is the nearest to k? (a) g (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 + 66. Let a(b) = 2*b**v - 7*b - 6*b - 7*b. Let r(i) = -2*i. What is a(r(l))?\nAnswer: 8*l**2 + 40*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18496675 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 332 + -171. Let x = -5395 - -5402. What is the greatest common factor of x and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p + p - 2*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 74 = -65. Solve 4*i - 22 = -5*z, m*z = i - 3 + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 13, k: 6}. What is prob of picking 4 g?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - (-665)\/(-342)*17.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 1. Let v be k(1). Let t be (-4)\/v*(-3)\/34. Suppose -12*a + 2*c - 8 = -17*a, 12 = a + 3*c. What is the smallest value in -0.01, a, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, r: 2, p: 2, j: 3}. What is prob of picking 1 p and 1 r?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19718031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 29656354773778 and -3.\nAnswer: 29656354773775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 510401 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*a*i**3 - 27*a*i*w + 2*a*w + i**3 - 12*i**2 + 5*i*w wrt a?\nAnswer: -11*i**3 - 27*i*w + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**3\/5 + 21696*q**2\/5 - 1950639*q - 9861750 = 0 for q.\nAnswer: -5, 487, 6750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1786792 + 0.3?\nAnswer: 1786792.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 10913925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40265787*i**3 + 68*i**2 + 93*i + 271 wrt i.\nAnswer: -241594722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*f - 3, -3*z = 2*f + 2*f - 9. Let x(y) = -y**3 + 4*y**2 - 2. Let n be x(z). Let k(t) = -2 + 3*t - 6*t**2 + 5*t**2 + 4*t - 1. Give k(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1405203 is divided by 383?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23934 times -2.117?\nAnswer: -50668.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 43*l**4 - 5*l**3 + l + 22. Let i(u) = 21*u**4 - 2*u**3 + 11. Let w(k) = 5*i(k) - 2*y(k). What is the second derivative of w(h) wrt h?\nAnswer: 228*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (6\/3 - -1). Let u be 1 + n + (-31)\/9. Let r = 0.3 - 0.5. What is the biggest value in r, -3\/5, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 24*g**2 - 26*g - 57. Give r(-25).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z + 3. Let u(c) = 6*c**2 - 54817*c. What is f(u(q))?\nAnswer: -18*q**2 + 164451*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-23)\/u)\/(u**(-4\/5)*u))**23 assuming u is positive.\nAnswer: u**(-2783\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w**5\/3 + 86*w**4\/3 - 12*w**3 - 760*w**2\/3 - 656*w\/3 + 128 = 0. Calculate w.\nAnswer: -8, -2, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**2 - 7*x + 1. Let v be ((-12)\/(-28) + 108\/630)*(-5)\/1. Let b(t) = 4*t**2 - 6*t. What is v*j(g) + 4*b(g)?\nAnswer: g**2 - 3*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84\/1345 - 25959\/10760. Calculate the common denominator of -39\/220 and c.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1\/5 (b) -34 (c) -0.09 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-2) - 20\/9. Put -4, 2, 4, q in descending order.\nAnswer: 4, 2, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -12*l**2. Let w(v) = -8*v. Give a(w(j)).\nAnswer: -768*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24055852 times -2?\nAnswer: -48111704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22\/9, 2, -3\/2, 3\/41?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -277\/42 - -45\/7. Which is the third biggest value? (a) -5 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2203*d. Let n(w) = 1 + 40654*w - 40657*w - 1. Determine n(v(h)).\nAnswer: 6609*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 11 = -8. Which is greater: 2\/45 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -169, 4\/7, -0.5, -148, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/(n**(-1\/4)\/n))\/n)*n)\/((n**4\/n)\/n))\/(n\/(n*n**(-1\/2)*n))**(1\/25) assuming n is positive.\nAnswer: n**(-123\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -59244842.3397 + 0.1\nAnswer: -59244842.2397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144684 and 3906468?\nAnswer: 3906468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 239204.3 rounded to the nearest 1000?\nAnswer: 239000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63*j**4 - 485*j**3 + 44696*j + 3 wrt j?\nAnswer: -756*j**2 - 2910*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -54552, -54554, -54556, -54558?\n\"Answer: -2*k - 54550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 2, -2\/33, -23, 0.5, -0.2 in increasing order.\nAnswer: -38, -23, -0.2, -2\/33, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799576984.\nAnswer: 2, 337, 296579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 251, 640, 1167, 1832, 2635, 3576, 4655?\nAnswer: 5872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 11. Let r be v(-11). Suppose 2*z - 20 + 4 = r. Let b = z + -11. Sort b, -1, 3.\nAnswer: b, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/25 of a kilometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 342.7 - -29.3. Which is bigger: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 9:08 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 717568761?\nAnswer: 3, 7, 13, 103, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -172*p**3 - 217.\nAnswer: -516*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*m - 128*m + 82*m - 25*m.\nAnswer: -191*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22581, 45163, 67745?\n\"Answer: 22582*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from dkbcdbap.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/((-13255)\/(-330) - (2 + 23))?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -4.4. Let t = h + 16.8. Let d = t - 21.000104. What is d rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -167482*c**2 - 661605*c wrt c.\nAnswer: -334964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (46 + -30 + -27 - (0 + -87))?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1766976491 to the power of 1\/4, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, f: 7}. What is prob of picking 2 f and 1 q?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*b + 2066489 - 124073 = 22*b. Is 181 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -120.3, 0.3, -4, 9\/2, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -9, -750.4, -0.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-7)\/(-4 - (-150)\/36)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 4:11 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*t + 38*t + 157*t**3 + 342*t**3.\nAnswer: 499*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 5, 105, -9 in decreasing order.\nAnswer: 105, 5, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -1.97751\nAnswer: 0.97751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-3*sqrt(7) + sqrt(7) + sqrt(7))*4)**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2224*d + 1805*d - 2 - 2078*d - 3777*d - 2742*d to h + a*d and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 23*z - 10*z - 14*z.\nAnswer: -z + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 9*i**2 - 9*i + 9. Let w be z(8). Let k be (-40)\/(-350)*(1 + (-22)\/12). Put k, w, 4, -0.5 in descending order.\nAnswer: 4, w, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.270458 minutes in days?\nAnswer: 0.0008822625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 486916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 9*o - 3. Calculate v(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - -12) + -23 + (8 - -7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1299.\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -828926*g**3 + 414167*g**3 + 414790*g**3.\nAnswer: 31*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -23.1. Let c = j - 0.9. Put -1, c, 3 in increasing order.\nAnswer: -1, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 3.9. Let b = g - -9. Let i = b + -4. Sort 2, -5, i in descending order.\nAnswer: 2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7413648 divided by -17736.\nAnswer: -418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006432 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -27, -40, -67, -108?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6516 - 66)\/(-43))\/(-3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1144 + 0?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9))\/(1788\/9536)?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (273\/(-156))\/((-3)\/60) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuwu when four letters picked without replacement from uuuuwuw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + 2*sqrt(192) + -3)**2 - ((-2*(sqrt(192) + -1) - (sqrt(192) + -2)*4) + -1).\nAnswer: 208*sqrt(3) + 3836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 158*s**4 - 5124*s**3 - 498031973*s**2.\nAnswer: 3792*s - 30744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 238 * -1539.655.\nAnswer: -366437.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 792*q**3*u**3*w - 4*q**3*w**2 - 1035*q**2*u**3*w + q**2*u**2*w**2 + 3*q*w**2 wrt q?\nAnswer: 4752*u**3*w - 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -2*d**6\/15 + 9*d**5 + 47*d**4\/3 - 30*d**3 - 92*d**2 - 811*d. Solve b(w) = 0 for w.\nAnswer: -1, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/7 - ((-2784)\/112 - -28).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t - 2*t - 1 - 4)*(3 - 3 + 2*t) + 5*t**2 - 4*t**2 - 2*t**2 to the form z*t**2 + a + h*t and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f**2 + 5*f**2 + 7*f + 3*f**2 - 4*f**2 as j*f**2 + c*f + z and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-6)\/(-2)))\/((-3)\/(-27))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 2268?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (4 - 0 - 4) + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (25 - -12) + (-6 - (4 - 9))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 3\/2*g**2 + 0*g + 8. Let h(i) = -2*i**2. Calculate h(l(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d - 5*d - 10 = 6*v + 9*d, -d + 2 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/20, -4\/15, 9?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10240 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 9*t**3 + 9*t - 9. Let q(r) = 3*r - 3. Let w(s) = -4*s + 4. Let m(v) = -3*q(v) - 2*w(v). Determine -9*m(o) - y(o).\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/27)\/((-10)\/24))\/(4\/(-150))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237084850 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -90 (base 12) to base 10.\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4*f - 16*v + 13*v, 0 = -4*f - v - 23 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (14 + (-98 - -15) + 57 + (10 - 1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/23 in -2, 3, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 4*c - 1. Let w(s) = -s**3 - 8*s**2 + 16*s + 5. Give -5*j(a) + w(a).\nAnswer: -a**3 - 3*a**2 - 4*a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15841303 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 + 25 - 13) + 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-2)*(-4)\/(-8). Suppose 0 = -0*w + w - v. Suppose 0 = 7*h - 4*h + 4*i - 32, -72 = -5*h - 2*i. Calculate the least common multiple of h and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/2 - (-5)\/(-4). Let k be (519\/1384)\/(3\/12). Which is the second smallest value? (a) l (b) -13 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/3)\/z**(2\/5) assuming z is positive.\nAnswer: z**(-11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 2 + 2)*(315*o + 270*o + 149*o).\nAnswer: -1468*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j = -27*j - 60361. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + q**2 - q - 2. Let c = -2 - -2. Let i be s(c). List the prime factors of (i*14\/(-4))\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 12*z**2 - 10*z - 14. Give q(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ql when two letters picked without replacement from {l: 2, j: 2, k: 1, q: 1, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 2*w + 10*w.\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*h**4 + h**3*j**3 - 80*h**3*j - 366*h*j**3 - 2*j**3 wrt h?\nAnswer: -96*h**2 + 6*h*j**3 - 480*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2. Suppose -3*g + 7*g - 512 = -4*u, 3*g - 9 = 0. Let i(k) = 125*k - 3*k**2 - u*k. What is i(y(h))?\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -7) + 0 - -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 90 + 70. Let j = g - 28. Calculate the lowest common multiple of 20 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 1239.6.\nAnswer: 1244.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**5\/420 + z**4\/84 - z**3\/42 + 24*z**2. Factor h(a).\nAnswer: -(a - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 6*y**2 - y + 2. Let c be m(-6). Let z = -89 + 89. Solve 3*i - c*i + 10 = z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 140*o - 2. Let k be i(5). Suppose x + 6*f = 2*f + k, 5*x = -2*f + 3490. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**3 + 4*h**3 + 2*h**3)*(2*h - 6*h + 3*h)*(29*h - 15*h + 8*h).\nAnswer: -22*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h - 1. Suppose 0 = 3*t - 0*r - r - 8, -3 = -3*r. Let q be (-1 + t - 5) + -1. Let y = 7 + q. Calculate k(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/21 - (-4)\/(-14). Suppose 3*x = l*x + 20. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 798279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 19*2\/(-10)*(-1511 - -1506)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 883638 is divided by 88356.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from kyykryyfff.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69088\/42240 - 40\/55 and -1\/35?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 668 + -668. Sort m, 2, 4 in descending order.\nAnswer: 4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001110001100 (base 2) in base 4?\nAnswer: 1032030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -164 by 257621.\nAnswer: -164\/257621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 2)*(0 + 0 + 3) + 3 + 2 - 6)*(0*v - 2*v - 5*v).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**6\/720 + u**4\/6 - 2*u. Let m(c) be the third derivative of w(c). Let z(f) = 3*f. Determine m(z(y)).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302152 is divided by 129.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-14)\/2)\/(-7))\/(2\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 186 + 46 + -210 + 67\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + l = 1, 0 = -5*q - 0*q - 3*l - 4. Let t = -3.97 + -0.03. Let w = -6 - t. What is the nearest to 0.1 in -5, q, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -44. Let w(n) = n + 12. Let g be w(p). Let c(a) = a. Let z(b) = b**2 - b + 1. Determine g*z(t) + c(t).\nAnswer: t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 22*m**3 - 4*m**2 - m - 63. Is f(6) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**5\/30 + s**4\/8 + 7*s**3\/6 + s**2. Suppose -37 = -5*q + 6*f - 10*f, -4*q = 3*f - 29. What is the units digit of y(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 + -19.098?\nAnswer: -18.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 25 = -2*b. Which is bigger: 32\/5 or b?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -200*p + 201*p + 1035, -5*p + 1585 = 3*o. What is the highest common factor of o and 416?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 86908.4 millilitres?\nAnswer: 86.9084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 8*j**2 - 8*j**2 - j**2 + 30 - 2*j**2 + 2*j**2 - j. What is v(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415960\/240 + 2\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3093654 divided by 4\nAnswer: 1546827\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/6 and 57\/2443.\nAnswer: 14658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26266614 or 26266633?\nAnswer: 26266633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 13*d**2 - d - 8. Let g be z(-13). Solve -h + 2*c + 9 = 0, -16 = g*h + 3*c + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 1, 4287, 58 in descending order.\nAnswer: 4287, 58, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 28\/327 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-15)\/6)*-1. Suppose 5*n - 2*g + 4*g + 34 = 0, -2*n - 20 = 4*g. Let y be 0 + (-3)\/(n\/8). Which is greater: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 3074.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/56 and 64\/819.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*q - 2*q - 61*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1667269619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -9*r + 196. Let v = 53 - r. Let m(i) = -i**3 + 3*i**2 + i - 1. What is m(v)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1976 and 103\/40?\nAnswer: 9880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 9*b**2 - 8*b + 4. What is the remainder when n(-8) is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14*20\/(-280))\/(-2))\/((-10)\/52)\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-7) + (-2)\/(-7). Let o(p) = -3 - 1 + 4*p**q + 4. Let a(t) be the first derivative of -5*t**3\/3 - 67. What is a(o(r))?\nAnswer: -80*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 115.7 in -0.2, 1, -407, 52, 1\/6?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*232.\nAnswer: 92.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c - 13*c + 384. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/9, -2\/5, -1438.727, -0.3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (60\/(-18))\/5 - (-5)\/3. Let r be t + (-333)\/(-4) - (-19)\/(-76). Calculate the greatest common factor of 378 and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (153*h - 69*h - 150*h)*(4*h**3 + 0*h**3 - h**3).\nAnswer: -198*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.1, -1.4, -59224 in descending order.\nAnswer: 2, 0.1, -1.4, -59224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013004 to seven decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**5 + 3*v - 3*v + (-4*v**2 + 4*v**2 + 2*v**3)*(-1 - v**2 + 1) + (5 - 4 - 2)*(-v**5 + 2*v**5 - 3*v**5) + 4*v**5 - 4*v**5 + 2*v**5 + v**5 - 3*v + 3*v.\nAnswer: 6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26860195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19717*v**3 - 2291*v**2 + 1148*v**2 - 2 + 1137*v**2 + 2.\nAnswer: -19717*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -313, -595, -883, -1171, -1453, -1723, -1975, -2203?\n\"Answer: j**3 - 9*j**2 - 262*j - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*h*m*s**3 + 2*h*m*s + 4902*h*s**3 + 35*m*s**3 + 71*m*s**2 + 2*s**2 wrt h?\nAnswer: -5*m*s**3 + 2*m*s + 4902*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -85*u**2 + 8*u - 2. Let d(k) = -85*k**2 + 7*k - 2. Let z(l) = -6*d(l) + 5*j(l). What is the tens digit of z(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -158 + 158 + 2*c**3 - 11*c - 5*c**3 - 8*c**3 + 0*c**3 - 5 + 5 + 3*c**3 + (-2 - 2*c**3 + 2)*(-2 + 6 - 2).\nAnswer: -12*c**3 - 11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1120283595?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - z - 2. Suppose 0 = -v - 3*n + n + 12, 2*v + 21 = 5*n. Let f be i(v). Let s(c) = -652 + 676 + 841*c - 840*c. Give s(f).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 677 + -645. Solve -4*n = s - 57 + 45, -3*s + 5*n = p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2785.3 not equal to -17\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, a: 9}. What is prob of picking 3 u?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -227*m*t**5 + 265665*m*t**2 + 380*m*t + 4*m - 122*t + 12 wrt t.\nAnswer: -4540*m*t**3 + 531330*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 5 - 22 = -5*t, 64 = -6*p - 2*t for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v + 66942 - 3*v**4 - 66943 - 2*v**2 - 2*v**4 + 8*v**3 to the form w*v**4 + r*v + f*v**3 + q*v**2 + c and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 - 2*l**2 + l**2 - l**2 - 2*l**2 + 2*l**2 + (2 - 2 + 2*l)*(2*l + 0*l - 3*l) + (l - l - 2*l)*(-104 + 104 - 87*l) + l**2 - 5*l**2 - 5*l**2.\nAnswer: 160*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 247, 545, 959, 1489, 2135, 2897?\nAnswer: 3775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -335 + 3687\/11. Which is smaller: b or 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008932469 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-28) - 402\/(-679). Let k = -2\/97 + y. Let d = 1 - 2. Is k at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*g**5 - 26*g**5 + 18*g**5 + 0*g**5 + 3*g**5 - 2*g**5 + (-3*g**4 + g**4 + 4*g**4)*(2*g - g + g).\nAnswer: 21*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-81)*3\/7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1549693 + 0.048.\nAnswer: -1549692.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50.248 + 49.6. Let v = d + 0.568. Let k be (-2)\/(-3) - (-10)\/(-24). What is the second biggest value in k, -0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -90 and 19.2.\nAnswer: -70.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362 - 43 + 195 = 14*v for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 9:29 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -20*m + 21*m. Solve 4*c - 4 = -2*g - 2, 4*g - m*c = 17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 6:04 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 times 87.123?\nAnswer: 11587.359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or 124\/7?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 165, 88729.\nAnswer: -3, 165, 88729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 613452 by 2289.\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)*j**(-1))\/((j*j\/(j**(-3\/7)\/j))\/j*j*j*j**0*j) assuming j is positive.\nAnswer: j**(-66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 82221 >= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2. Let d be q(-2). Suppose y = -4*n + 4*y + 57, d*n - 87 = -3*y. Calculate the remainder when 29 is divided by 148\/n - (-6)\/(-27).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 49517289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 5:25 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.11 (b) 2.693 (c) 84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-4))\/((-1)\/(-3)). Let d = 0.2533 - 0.5533. What is the biggest value in -5\/4, d, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 38 + 16)*(3*p + 2*p - 4*p + (2 - 2 - 1)*(-4*p - p + 3*p)).\nAnswer: -69*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6\/11 - 7\/33. Let m be (-12)\/(-42)*((-4)\/8 - -2). Which is the closest to 0.1? (a) p (b) -0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.053 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*r + 8, -2*r = -k - 3 + 10. Suppose 3*b - b - 2*i = 2, i - k = 0. Are b and 5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*v = -67*v - 4. Let b be (720\/(-25))\/(-8) - v\/(-5). Find the third derivative of 102*x**4 + 24*x**2 + x - 76*x**b - x wrt x.\nAnswer: 624*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/1517 in 4, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2153*n**3*s**3 + 2*n**2*s**3 + 372*n**2*s**2 + 2*n**2*s + n wrt n.\nAnswer: -12918*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -105970\/531 <= -200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 5*x**2 - 3*x + 1. Let o be u(4). Let f be 11\/(-2) + (0 - 0). Let q = f + o. Which is greater: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8047 is divided by 1993.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/37898 and -59\/10828.\nAnswer: 75796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 z when three letters picked without replacement from ttttlztxyuylx.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 o, 1 a, and 1 h when four letters picked without replacement from {h: 3, u: 1, x: 1, o: 1, g: 5, a: 2}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10\/4*68\/425*795 and 42.\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, x: 2, c: 8, a: 2}. Give prob of picking 1 t and 1 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 746*w**2 + 486*w + 194972. Give f(747).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7133 by 12938.\nAnswer: 7133\/12938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7896*y + 789*y - 1039*y + 135*y - 7701*y.\nAnswer: -15712*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iiggi?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = c - 6. Let y = 6 + c. Let p = 60 + -62. Put y, p, -5 in decreasing order.\nAnswer: y, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*g - 5*l - 100, 2*l + 274 = 5*g. Let s = g + -20. Let a be (-4)\/(-10) + s\/10. Solve 4*o = -4*f - 20, 0*f + 2*f - 4*o = -a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -393.0614 - -393. Let m = y + 0.0614. What is the closest to m in 22\/7, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (23 - (-1 - -13))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1492*v - 5563. Determine n(4).\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 - (-3 + (4 - 4)) - -19.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1496?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0.4. Let p be 3*((-1)\/(-6) + 0). Which is the closest to p? (a) w (b) 2\/13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168929 divided by -16941?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/11, 1\/5, -0.35?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190838075, 190838074, 190838073, 190838072?\nAnswer: 190838071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -13932?\nAnswer: -13931.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*a**4 - 321*a**2 - 135*a**4 - 79*a**4 + 81*a**2 - 64*a**4 wrt a.\nAnswer: -5784*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19618718638 less than 0.812?\nAnswer: -19618718637.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 33.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(7\/2)*g)\/g*g**(-25))\/((g*g\/(g\/g**(-2\/15)*g))\/(((((g*g**(8\/11)\/g*g*g)\/g)\/g*g)\/g)\/g*g)) assuming g is positive.\nAnswer: g**(-6811\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -18. Suppose 3*q - 3 = -z*a + 3*a, -a + 31 = -5*q. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 10:21 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4 = -z - 15, -5*z + 20 = 5*d. Suppose -5*p - 2 + 17 = -u, -3*p - u = -z. Suppose y + 0*y - 5 = 0. Put p, -5, y, 0 in decreasing order.\nAnswer: y, p, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15051 + 17032. What is the greatest common factor of 21 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 4, -1, 14, 2, 18 in decreasing order.\nAnswer: 18, 14, 4, 2, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 38*y + 5. Let v be q(0). Solve 13*o - v*o = -16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l - 141. Determine c(-22).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33.71 - -2.01. Round d to the nearest integer.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -149689044, -149689043, -149689042?\n\"Answer: g - 149689045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*a + 3. Solve u + 5*r + 8 = -u, -4*u + 4*r - a = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**17\/t)**(-3\/23)*t\/((t\/t**(-24)*t)\/t)*t\/((t**(8\/15)*t)\/t) assuming t is positive.\nAnswer: t**(-8839\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 13. Let j = 27 + -26. What is the closest to 0 in 0, j, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30837.324 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 411647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -202 + 198. What is the nearest to 0 in 5, -11\/5, q, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.71 in 2, 1141, -1\/7, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16969 rounded to 3 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -140.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m + 6. Let f(w) = w**2 + 6*w - 1. Suppose q = 6*q + 35. What is the remainder when x(-5) is divided by f(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 93 = -2*x, -4*x + 7*x = -9. What is the remainder when 164 is divided by y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 844 + 1623. Suppose -7*m + 725 = -q. Is 24 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/6 - 914960*a + 5489762\/3.\nAnswer: -(a - 2)*(a + 5489762)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 52 - 3. Solve u*p = 6*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -17 (b) -43020 (c) -0.5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -333123023 (base 4) in base 8?\nAnswer: -773313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - -73. Let o = 204 - z. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21251 - 21161 = -5*a for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -26. Let x be ((-8)\/(-36))\/(y\/36*3). What is the closest to -12 in -4, -0.1, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1389794306 to the nearest integer?\nAnswer: 37280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n - 18. Let h = 13 - n. What is the lowest common multiple of -5 + 10 + (-3)\/1 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5 + 2 + 2*i - 3*i. Let k(p) be the third derivative of -p**3\/6 - p**2 + 73. Calculate -2*k(m) + t(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 206, 3, -11, 8 in decreasing order.\nAnswer: 206, 29, 8, 3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 21 = -3*s. Suppose -1 = z, -s*c + 4*z + 64 = -3*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 - 5. Suppose -x = 3*b - 11, x + 2 = 4. Let v(z) = 12*z**2 - 9*z**2 + 2*z**2 - b*z**2 + 4. Calculate -4*o(q) - 5*v(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14454)\/117 - (0 + 12 + 2345\/(-4355) - 11)?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*-2)**2*5 + (sqrt(117) - (sqrt(117) + 2*sqrt(117) - sqrt(117)) - sqrt(117))\/sqrt(9).\nAnswer: -2*sqrt(13) + 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2412000 to the nearest 100000.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - s + 11, -220*s + 216*s = 4*o - 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2973636.603 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*h - 12*h + 67*h**3 - 4*h.\nAnswer: 67*h**3 - 88*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 39. Suppose -3*g + 5*t + 40 = 0, 1 = 2*g + t - 4. Let y(n) = -n**3 + 9*n**2 + 26*n - 44. Let o be y(11). Solve b = g*x - o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(475) - (-4*(0 + sqrt(475)) - sqrt(475))) + sqrt(475) + (sqrt(475) - (sqrt(475) + 0)) + 0 + 5 - (3 + -5 + 0 + sqrt(475)*-1)))**2.\nAnswer: 480*sqrt(19) + 30436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 4. Let v(w) = 4*w - 5. Let a(x) = 7*x - 10. Let h(f) = -3*a(f) + 5*v(f). Calculate h(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 182449 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from heqmeehhmphlhpmeeel.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(0 + 8\/(-3)). Suppose z = 4 - 7. Let f = -1.9 + 2. Which is the smallest value? (a) f (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12434 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: Do 0 and -3\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 222100011122 (base 3) to base 9\nAnswer: 870148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m. Let q(y) = 7*y. Determine d(q(x)).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.99943 - 32. What is m rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 12) + (1 + -2)*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.5 (b) 28\/3 (c) -1\/2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, -1.06, 1\/14, 14, -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 2*h + 25 = 0, 0 = -h + 3*h + 3 - 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 4, -8\/5, -1.1423?\nAnswer: -1.1423","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.07, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-8)*2*340. Let k = d + 355. What is the greatest common divisor of k and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1180 is divided by 139.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + l + 9, -19 = 14*z - 18*z - l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 93561629?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, 53, 0.5, -337 in increasing order.\nAnswer: -337, 0.5, 6\/11, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -16754*m - 234483. What is t(-14)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26b + -9d?\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 34999942, 34999940, 34999938, 34999936, 34999934, 34999932?\n\"Answer: -2*i + 34999944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/3 + (-122)\/(-6). Let s be (o\/(-1))\/(3\/(-6)). What is the greatest common divisor of s and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 302? (a) 0.5 (b) -9 (c) 3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615954?\nAnswer: 2, 3, 251, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + h**2 - 2*h**2)*(49*h - 107*h + 58*h + 122*h**3).\nAnswer: -244*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54 or -1473?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 1342*p**2 + 26264*p + 232671. Calculate j(1322).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 200 and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1341 and 447?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 14 - -1) + -3. What is the derivative of -6*n + r + 37*n - 21 wrt n?\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 82*l + 1893. Let n be x(-67). What is the greatest common factor of n and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -7*f - 22. Calculate the common denominator of -31\/40 and ((-25)\/144)\/f*(-4 + -11).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*q**2 + 852*q - 852*q + (-2*q**2 + 3*q**2 - 3*q**2)*(1 - 1 + 2).\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-32)*4)\/(1526\/357084).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2180 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/12? (a) -9\/19 (b) 0.3 (c) 2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 792 and 6600?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503419894.\nAnswer: 2, 41, 1069, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 17*o + 181 = 14*o, 0 = -2*a + 4*o + 176. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 26. Solve p*h + 1 = 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 11010101101?\nAnswer: 11010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*l**6 - 152*l**4 + 50033*l**2.\nAnswer: -840*l**3 - 3648*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opu when three letters picked without replacement from {o: 1, u: 5, p: 4}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -2*q**3 + 5*q**2\/2 + q + 25. Let j(n) = 11*n**2 - 9*n - 1. Determine -3*j(p) - 5*y(p).\nAnswer: -3*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 1 + (2 - 13) - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 1, h: 1}. What is prob of picking 1 m and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7365426 (base 8) in base 11?\nAnswer: -111a139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 16 = 4*v, -v - 1215*n + 1213*n = -4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -32981566.6 rounded to the nearest 1000?\nAnswer: -32982000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -122 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 28*a - 29*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -1\/3*z**3 + 0 + 1\/2*z**2 - 9*z. Give g(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 296*v**4 - 298*v**4 + 5 - 3*v**2 - v**3 + 0 as n*v + z + o*v**2 + i*v**3 + r*v**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnoi when four letters picked without replacement from {m: 5, p: 1, o: 7, n: 3, i: 2}?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 1 = -6*r. Let m = r - 0. Is m\/((4\/(-1))\/524) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4485974, 8971948, 13457922?\n\"Answer: 4485974*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 27*u**6\/125 + 14526*u**5\/125 + 651249*u**4\/25 + 77860436*u**3\/25 + 5236114321*u**2\/25 - 103*u + 1. Let s(d) = 0. What is d?\nAnswer: -269\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 1, -2, 38, -7, -89 in descending order.\nAnswer: 38, 5, 3, 1, -2, -7, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 124\/((-245520)\/(-2079))*(-32)\/(-7)?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(1\/4))**(-1\/4)*(t\/(t*t**(2\/5)\/t))**(10\/7)*(t\/(t**0*t)*t*t)**(3\/25)\/(t*t**(2\/5)*t*t\/(t\/t**(3\/2))) assuming t is positive.\nAnswer: t**(-9423\/2800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-29)\/(-116) + (-1322)\/8. Let a = 183 + h. What is the least common multiple of a and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -932 = 4*x + 2*k, 2*x + 2*k + k = -470. Let v be x\/(-20) + (-12)\/20. Differentiate 16 - v*t + 9*t - 27*t + 3 wrt t.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 132 - 127. Find l such that -44\/9*l**2 - 56\/9*l + 2*l**g + 20\/3*l**4 - 16\/9 + 38\/9*l**3 = 0.\nAnswer: -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 156 = 3*v, v - l - 208 = -3*v. Suppose 3*a + a - v = 0. Calculate the remainder when a is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**3\/2 + 22*s**2 + 16*s. Let t be o(14). Let m be (-4)\/(-3)*3\/2. Solve 2*i + 0*i = m*n + 4, -t*n = 2*i - 16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 22656964.\nAnswer: -5\/22656964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -475, -4, 44 in decreasing order.\nAnswer: 44, -4, -475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 10:21 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g - 166. Let b(k) = 40. Calculate 6*b(f) - u(f).\nAnswer: 3*f + 406","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 670907, 2683641, 6038205, 10734605, 16772847, 24152937, 32874881?\nAnswer: 42938685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 6*d + 7. Let o be y(7). Let l = 10\/13 + -11\/65. What is the biggest value in o, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*a + 542 + 1558. Let p = 191 + a. What are the prime factors of p?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 962 and 296?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 7:01 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 6*c. Let o be l(0). Let u(v) = v - 2 + 6 + 0. Give u(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1450 (b) -0.06 (c) 3\/8 (d) -0.2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*r + 27. Suppose -q - 2 = z, 0 = 2*z - r*z - 5. Let i = q - -2. Solve -i*d + d = -4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*-6*(sqrt(833) + sqrt(833) + -1))**2.\nAnswer: -1680*sqrt(17) + 120052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 - -2) + (-2 - -4). Let v be (-6)\/4 - (-39)\/y. Is -4 + (-4)\/v*1374 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/(-12))\/(4*(-1)\/16). What is the nearest to -0.04 in 2\/9, -4\/7, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/42*1*42\/7\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/16 and -35\/288?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3537418723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n - 142 = -187 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 10*w**2 + 23*w**2 + 39*w**2)*(2*w**2 - 3*w**2 - 9*w**2).\nAnswer: -520*w**4 + 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 318*t - 4571*t**2 - 318*t + 8089*t**2.\nAnswer: 3518*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -6. Let x = -23.9 - j. Round x to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5742000 rounded to the nearest one hundred thousand?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((((u**(2\/13)\/u)\/u)\/u)\/u)*(u\/u**(1\/36))\/u)\/(u\/(u\/(u*u*u*u**(-5)*u))*(u*u**(-8)\/u)\/u) assuming u is positive.\nAnswer: u**(6935\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1579, 1, 163, 2\/5 in ascending order.\nAnswer: -1579, 2\/5, 1, 3, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-168)\/140)\/((-6)\/20*1). Let v = 0.19 + -0.26. Let h be ((-9)\/(135\/6))\/2. Which is the nearest to 1? (a) u (b) v (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(156) + -4*sqrt(156)))\/(-6*sqrt(48)\/sqrt(4)) + (sqrt(156) + (sqrt(156) - (sqrt(156) - -2*sqrt(156) - sqrt(156)))*6)\/(sqrt(96)\/sqrt(8)*-1).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 5*g + 97 = 0, -z - 63 = 27994*g - 27997*g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4120125kg to milligrams.\nAnswer: 412012.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23005393 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 50. What is the highest common divisor of 13 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17584?\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -21. Let k be (45\/10 + h)*2. Suppose -6 = -k*n + 3. Solve -13 = -4*l + 3*o, -2*l - n*o + 4*o = -5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2)\/x)**(-1\/40))**36\/((x**(-2\/3)*x**3)\/((x\/(x**(-2)\/x))\/x**(-1\/2))) assuming x is positive.\nAnswer: x**(73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + c = 4, 2*c - 5 = t - 4. Suppose 356 = 3*b - 2*v, 0 = -8*b + 10*b + 2*v - 224. Let f = 120 - b. Sort f, -2, t in descending order.\nAnswer: f, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bble when four letters picked without replacement from elllbeebl.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17000037, 17000045, 17000053, 17000061, 17000069, 17000077?\n\"Answer: 8*h + 17000029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, k: 3, y: 2}. What is prob of picking 1 u and 2 k?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2535 + 2536. What is the second biggest value in 3, h, 2\/129, -1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/6)\/(9\/(-12)). Let c = 0 + l. Factor -4 + 2 + g**c + 0 + g**2.\nAnswer: 2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2980*c + 5221*c - 2301*c.\nAnswer: -60*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -394 + 15. Let f = d + 376. Suppose -2*k - 12 = k. Which is the closest to -2? (a) -2\/11 (b) f (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17b (base 16) in base 2?\nAnswer: -101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 20 = 2*b, 4*m + 5 = 17. Let g(k) = -15*k. Let r(q) = 16*q. Let w(o) = -5*g(o) - 4*r(o). Calculate the least common multiple of w(2) and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((20 - 87 - 15)*(-1 - 3 + 5) + (3 + 1 + 0)*(-5 + 2 + 1))*(3*i**5 - 5*i**3 + 5*i**3).\nAnswer: -270*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 21*a - 158. Determine w(-27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 665*m**3*u**2*w**2 + 9*m**3*w**2 - 5*m**2*u*w**2 + 52*m*u**2*w**2 + 42*m*u**2*w wrt m.\nAnswer: 3990*u**2*w**2 + 54*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1587?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17389 - 3947. List the prime factors of p.\nAnswer: 2, 11, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 10*c**3 + 5*c**2 - 53*c + 11792. Let t(r) = -78*r**3 - 39*r**2 + 425*r - 94341. Let w(y) = -6*t(y) - 47*x(y). Differentiate w(s) wrt s.\nAnswer: -6*s**2 - 2*s - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x - 3. Let a be f(-3). Let d(u) = u**3 + 9*u**2 + 12. Let w be d(-9). Is 122\/a - (-8)\/w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 59 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -3. Let v be (-15*(-8)\/(-66))\/((-66)\/363). Put v, n, 0 in descending order.\nAnswer: v, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5 and -0.05.\nAnswer: -0.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2 - 35*f + 14. Let q(i) = -2*i**2 + 18*i - 8. Let w(l) = -4*n(l) - 7*q(l). Let x be w(-7). Solve 3*c = x, d - 2*c + 0*c - 2 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 39590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -43772374*l. Let j(g) = 8*g**2. What is j(m(u))?\nAnswer: 15328165804767008*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 20*z**3 - 372*z**2 + 1608*z + 704 = 0.\nAnswer: -2\/5, 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(150\/4))\/(6\/10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 28d2?\nAnswer: -28d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 17, a: 3}?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*q + 18. Let s(j) be the first derivative of -j**2\/2 + j + 3. Let g(h) = h**3 + 9*h - 8. Calculate q*s(c) + 2*g(c).\nAnswer: 2*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1123\/105 + -212\/21. Which is the closest to -3? (a) -0.2 (b) -5 (c) 14 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(2\/9)*j)\/(j*j**0))**32 assuming j is positive.\nAnswer: j**(224\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*15\/25*(-8)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -2241\/167 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3055.26 rounded to the nearest 10?\nAnswer: -3060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 10 = c. Let o(i) be the third derivative of -i**4\/24 + 7*i**3\/6 - i**2. Let v(a) = -a + 6. Give c*o(q) - 5*v(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1646329975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 5. Let p be q(-8). Let y(i) = 2*i**2 + 5*i + 2. Let k(t) = t**3 + 4*t**2 + 3*t. What is the remainder when y(p) is divided by k(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 758836024 to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-9 + 20 + -18).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - k + 25. Let q = -1 + 1. Suppose 0 = -5*w + 4*p + 19, -3*p + 6 = -q*w + 3*w. Calculate the lowest common multiple of k and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -985*d**3 - 129*d**2 - 7*d + 7. Let j(q) = 2*q**3 + q**2 - q + 1. Let s(c) = 7*j(c) - k(c). Find the third derivative of s(r) wrt r.\nAnswer: 5994","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82 - 102 - (4 - -25)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10264.86461 rounded to the nearest 10?\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 133816393 to the power of 1\/2, to the nearest integer?\nAnswer: 11568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3017794*r**3 - r**2 - 5319613*r wrt r?\nAnswer: -18106764*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8055)\/469875)\/(1\/14)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100100011010000010110 - 11?\nAnswer: 10100100011010000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5420 (base 7) to base 16.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 10*v - 9. Let r be w(-11). Solve -5 = 2*f + d, 3*d - 27 = 4*f - r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -1\/4*c**4 + 0*c + 50\/3*c**6 - c**3 + 0*c**5 + 210 + 14*c**2. Find the third derivative of v(p) wrt p.\nAnswer: 6000*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - 11*b + 0*b)*(0*b - 6*b + 5*b).\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeepeeeaeeapp. Give prob of sequence ep.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r. Let q = 44 + -42. Let y(a) = 42*a. Let h(i) = q*y(i) + 70*b(i). Let t(c) = -2*c**2. What is t(h(v))?\nAnswer: -392*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115 and 368.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10453 + 59901 + 58096 = 1835*x for x.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/11)*p**(-4\/3))**(-2)*((p*p**(5\/4))\/(p*p*p*p**7))**(1\/6) assuming p is positive.\nAnswer: p**(-87\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 601281*k - 3607658. Give v(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 - 0.07. Let f = -3798.1 + 3798. Which is the nearest to -0.1? (a) 21 (b) w (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 118503.0058 + -118521. Let l = -18 - z. What is l rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 + 3*h**3 + 0*h**2 - 3*h**3 + 2 - 2 + (-3 + 3 - h**2)*(2*h - 3*h + 0*h) - 21*h**3 - 9*h**3 - 64*h**3.\nAnswer: -93*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3 + 7 - 2*q + 0 - 2. What is the remainder when t(-10) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02876 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 15 + 23. Let y be g\/(-6)*4*27\/(-90). Which is the second biggest value? (a) -7 (b) y (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43585 = -30*f + 43585. Let r = 1126 - 4285\/4. Let b = -55 + r. Which is smaller: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1385*s - 1398*s + 60 + 135 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -653 - -579. Put -5, 3, j, 2\/15 in decreasing order.\nAnswer: 3, 2\/15, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-119)\/187*22\/(-4).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 9 + 25. Suppose -4*a - 3*y + 217 = -7, 228 = 4*a + g*y. What is the remainder when a is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -2) + (2 - -3) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120 + 124. Sort 5, 3, f, -1\/8 in increasing order.\nAnswer: -1\/8, 3, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 208.5*0.094\nAnswer: 19.599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 z when three letters picked without replacement from {s: 4, j: 2, i: 2, z: 5}?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923792543.\nAnswer: 5051, 182893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 - 10*m - 7. Let f be y(-12). Let l = f + 172. Which is the nearest to 2\/5? (a) -0.4 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 162861, 162900, 162941, 162984, 163029, 163076, 163125?\n\"Answer: p**2 + 36*p + 162824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.2688194 + 54.7312526. Let u = 0.13 + -56.13. Let q = u + c. Round q to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3767*z - 1 - 161*z**2 - 7532*z + 3765*z to l*z + f + j*z**2 and give j.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001716132 rounded to 7 dps?\nAnswer: 0.0000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1.6, -5, -1669 in descending order.\nAnswer: 0.5, -1.6, -5, -1669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 120\/(-18)*1\/4\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -905 (b) -3\/7 (c) -51\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 490 divided by -98.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1. Let z(i) = i - 1. Let y(v) = 7*k(v) - 3*z(v). Let h be y(-4). Let x = 11 - h. Solve 4*o = x*w - 17, -4*o = -1 + 21 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -3. Suppose f = -3*r, -17*r + 12*r + 2 = 2*f. Suppose -f*a + 34 = 4*m - 4*a, 2*a - 24 = -3*m. Calculate the greatest common factor of h and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 216370.11 to the nearest one hundred.\nAnswer: 216400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22235 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1903464974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 1669 = 553. Does 23 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 251?\nAnswer: 2761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11820151 is divided by 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-1)\/(-3) + 1. Let u be 293\/(l + (3 - 4)). Suppose k - 2*k + u = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -128*b - 63 wrt b.\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -8, -4\/9, -17\/1801, 6\/11?\nAnswer: -17\/1801","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/5)*g*g**(1\/4)*(g**0)**23)\/((g\/(g\/(g**(1\/6)*g)*g)*g**(3\/7))\/(g**(3\/5)*g**(-5))) assuming g is positive.\nAnswer: g**(-1489\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/3 - 27818*p**2\/3 - 722254*p\/3 - 4692454\/3.\nAnswer: -2*(p + 13)**2*(p + 13883)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -18024.63?\nAnswer: -162221.67","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -247 - -345. What is the remainder when g is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52 - -9.9.\nAnswer: -42.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 164630 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vphi when four letters picked without replacement from ppiiihpvpzmpp?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -3 - (2 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 3*y = 19, a - 20 = -99*y + 94*y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 21?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 27 = 2*i, -3*i = -3*q + 7*q - 38. Suppose z + 6 = i. Let v be (-2)\/25*10\/z. Which is the second biggest value? (a) 1 (b) v (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/30*(-9)\/12. Let v(l) be the first derivative of 0*l - m*l**4 + 0*l**2 - 1 - 1\/3*l**3. Find the third derivative of v(s) wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -7.3. Let i = -3 - m. Let o = 32 - 33. Which is the nearest to -2\/7? (a) i (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 2\/3, 3, -70258?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 437.38 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 34. Is 6 a factor of k(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (-1 + -33)) + -31 - (-1 + 5) - 10.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 674131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -11. Let i be (-1 - (-1 - 1))*2. Suppose -i + m = -r. Sort 0, r, 1 in increasing order.\nAnswer: 0, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**2 + 66*a - 8. Let r(j) = -j**2 - 10*j - 7. Calculate the remainder when o(15) is divided by r(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, p: 2, i: 2, g: 5, q: 1}. What is prob of sequence px?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -231?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6618 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 970*m - 760. Let k be f(18). What is k rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -254*r - 65. Let y(v) = v**2. Calculate i(y(z)).\nAnswer: -254*z**2 - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34.1 + 60. Let t = 25.81 - z. Do 1\/5 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n - 21. Let w(v) = -32*v - 1085. Let f be w(-34). Let q(g) = -2*g - 21. Determine f*r(i) - 4*q(i).\nAnswer: -i + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 54. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by -4\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 15696 - 10721 = 4*u, 4*d = 3*u + 35218. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 54*g + 492. Calculate w(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1362150*0.2\nAnswer: -272430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1065 = -8*a - 905. Solve 11 = -3*n + k, -4*n + 5*k - a = k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 167895729 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**8*c)**(-14)\/((c**6*c)\/c*(c\/(c*c\/c**(-1\/6)))\/c))**(-15) assuming c is positive.\nAnswer: c**(-2405\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/8377 (b) -260 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326*d**2 + 158*d**2 - 708*d + 708*d - 153*d**2.\nAnswer: 331*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2868, 6327, 9786, 13245, 16704?\n\"Answer: 3459*x - 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**2 + u + 15. Calculate h(4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/4))**(2\/59)\/(g\/(g**(-1\/4)*g)*g**(-6)))\/(((g**(2\/5)\/g)\/g)**(-10)\/(g*g**1)**(-42)) assuming g is positive.\nAnswer: g**(-22241\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6120 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, d: 1}. What is prob of sequence vv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-188)\/282)\/(2\/33))\/(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6564.0551 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -0.02, 8\/5, -14\/9?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6832)\/183*(-4)\/294 - 8\/28.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22161?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.27149 and -0.9.\nAnswer: -1.17149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 5*n = 25, -4*a + 6*a - 4*n + 20 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (48 + -47 - ((-1 - -37) + (40 - 42)))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -740.784 + 738. Let s = d - -2.782719. What is s rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.328 - 0.718. Let w = -12.61001701 + f. What is w rounded to 6 dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 19 - 3 = 3*l, -3*h = -3*l - 24. Which is the nearest to h? (a) 5 (b) -1\/8 (c) -4\/7 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1852 and 8068.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 30 = 5*s - 0*v, -4*v - 21 = -s. Suppose i = -3*c, -2*i - 4*c + 3 = -s. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -72989, -146065, -219147, -292229, -365305?\n\"Answer: c**3 - 9*c**2 - 73056*c + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4018 - -4013. Let l = -20\/29 + 202\/377. Let d be 1 - -1 - (-5)\/(-3). What is the biggest value in d, l, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i. Let g(r) be the second derivative of r**6\/180 - r**4\/3 - 2*r. Let c(d) be the third derivative of g(d). Determine c(s(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -731*h**4 + 28398*h**3 - 177061152*h**2 + 2*h wrt h?\nAnswer: -17544*h + 170388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxmxxxxm. What is prob of sequence xx?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44? (a) 0 (b) -0.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-5))\/(3\/(-15)). Let s = 18 - 17. Let r be -3 + s + 0 + 4. Solve -g = d*v + 7, 2*v + 6 = -r*g + 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*f - 168, 2*p + 48 - 215 = 3*f. Suppose -15*j + p = -833. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 - 2*q**2 + 3*q**2 - 2*q + q**2 + 2*q + (0 - q + 0)*(3*q + q - 2*q) + 3*q**2 - 4*q**2 - 2*q**2 as j*q**2 + w + r*q and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101011 + 0?\nAnswer: -1001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20583?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13752434 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 44176*l - 55090252.\nAnswer: -4*(l + 1433)*(l + 9611)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.04, 142, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -155468952, -310937903, -466406854, -621875805, -777344756?\n\"Answer: -155468951*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010010110001101110 - 11100?\nAnswer: 10010010110001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 4\/10 - 1198*(-4)\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + q - 401 = 2*q, 2*z - 402 = 2*q. What is the greatest common divisor of z and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170 * -6\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 285, 553, 773, 927, 997?\nAnswer: 965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1203302457*v**5 + 102454302*v**2 - 2?\nAnswer: -72198147420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -632*p**4 - 283*p**3 + 12*p - 9273 wrt p?\nAnswer: -7584*p**2 - 1698*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 400044533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -208735 (base 10) to base 16\nAnswer: -32f5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 307789553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4170552, 1, -1 in increasing order.\nAnswer: -4170552, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232191250907648*w**2\/9 + 43099072*w\/9 + 2\/9 = 0 for w.\nAnswer: -1\/10774768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17693978 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6722473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 181752 + -120925. What is the ten thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -119806554 not equal to -119806553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + y + 0 = -2, 10 = 5*s + 5*y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 0 + (510 - 496) + 16 + -119.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 178554.7l?\nAnswer: 178554700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -82*(-2 - 4 - -3). Let q(v) = 246 - t - 5*v. Let j(k) = -7*k**2. Determine q(j(x)).\nAnswer: 35*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24824559 to the nearest integer?\nAnswer: 4982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/96*51)\/(-11*(-11)\/(-484)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 8*i - 14. Let x be l(7). Calculate the highest common factor of x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105920 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10529, 10528, 10527, 10526, 10525, 10524?\n\"Answer: -a + 10530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -476000 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -33957000 greater than or equal to -101871002\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/100*(-3)\/162*3*-4.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.145 + 0.004\nAnswer: 0.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -69033, -1 in decreasing order.\nAnswer: 0, -1, -3, -69033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 529, 1115, 1915, 2929?\nAnswer: 4157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 244328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 13366*d - 93548. Determine t(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -5. Let d(a) = -2*a + 1. Let v be d(p). Let j(r) = -4*r + 10. Let x be j(v). Round x to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 403 and 2769478?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*i + 403*i = 776*i - 969 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 998540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 438\/(-11) + 2\/(-11). What is the common denominator of 27\/5 and (2 - (-82)\/i)*6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**7\/14 + 4*v**6\/15 - 7*v**4\/4 + 21*v + 2. What is the third derivative of q(w) wrt w?\nAnswer: 180*w**2 + 192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7828027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/78 and -83\/457200.\nAnswer: 5943600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 6:23 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 10:20 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**2 + r**2 + 4*r**2 - 2*r + 17*r**2 + r**2 + 4*r**2 + (r + 5*r - 5*r)*(-1 + 2*r + 1).\nAnswer: 25*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 963.5185 centuries in months?\nAnswer: 1156222.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 6*p**2 - p + 8. Let v be s(6). Let t(j) = -16*j**2 + j. Let z be t(1). Let o = z - -20. Put -4, v, o in decreasing order.\nAnswer: o, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69017139.\nAnswer: 3, 19, 173, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 7*b + 61 = 11 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*3\/(-18)*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35484944 and 1936?\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 7*m + 2, -m = -135*i + 134*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 d when two letters picked without replacement from suudususdds.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + -3. Let y = p - -12. What is the nearest to 0.07 in y, -2\/9, -1\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 29. Suppose -j + 15 = 3*g, -u*j + 4*g + 30 = g. Solve -4*v + v = j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111309 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00085077 rounded to 5 decimal places?\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102214295*p**2 - 1059708*p - 14.\nAnswer: 204428590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26313 - -26308. Which is the closest to 49? (a) -3 (b) -0.5 (c) 1\/11 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1122430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/28 of a week?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -231*a + 240*a + 27 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**2 + 10040*a = 0.\nAnswer: 0, 2008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2430593 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: -2 * -1160\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5*d**3 + 320*d**2 + 1220*d + 1200 = 0.\nAnswer: -60, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 17*y**2 - 9*y - 9. Let t(q) = 33*q**2. Let a be t(1). Let k = a + -40. Is w(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 13302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 23. Let s(c) = 4*c**2 + 4*c - 2. Let z be s(-4). Let d(w) = -a*w**2 + 46 - z. Let j(o) = 2*o. Determine j(d(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -967\/86156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -2*k**6\/3 + 2*k**3 + 2. Find the third derivative of y(h) wrt h.\nAnswer: -240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 6*x = -4*o + 23, 0 = 3*x + 5*o - 34. Factor 3 - 51*g - 3 + 36*g + 5*g**2 - 5*g**4 + 15*g**x.\nAnswer: -5*g*(g - 3)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/11 + 873589560*w\/11 - 95394839917624200\/11.\nAnswer: -2*(w - 218397390)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220170 and 158?\nAnswer: 17393430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 21825873437.\nAnswer: 21825873439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 431104 and 99800576?\nAnswer: 199601152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 72621*z + 127211118.\nAnswer: 3*(z + 1901)*(z + 22306)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 3. Suppose b = u - 4*u + 27. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37872 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1033 + 0?\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/5*-1)\/((-1230)\/(-5125)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/2 + 229*v**2\/2 + v\/2 - 229\/2.\nAnswer: -(v - 229)*(v - 1)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1160 divided by 10.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 369\/(-15) - (-5050)\/202?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 829450, 1658747, 2487984, 3317167, 4146302, 4975395, 5804452?\nAnswer: 6633479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 127449 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 2311210?\nAnswer: -2311200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 6*h**2 + 4*h - 1. Let o be b(-5). Let j(u) be the third derivative of -u**5\/60 + u**4\/6 - u**3 - 6*u**2. Determine j(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/429)\/(-68*44\/(-33660)).\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4*(sqrt(252) + (sqrt(252) + -1 - sqrt(252)) + sqrt(252)) - sqrt(252)) + (sqrt(252) - (-2 + sqrt(252) + 5))*-3)**2.\nAnswer: -9720*sqrt(7) + 735057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nh when two letters picked without replacement from hiinhhihnh.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 44393*f + 808. Is b(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2714632 and -318.\nAnswer: -2714950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*2\/(-3)*1. Let f(l) = 0*l**q + l**2 - 2*l**2. Let y(u) = -u + 4. Let b(g) = 1. Let d(k) = 4*b(k) - y(k). What is f(d(a))?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24826575 and 147903?\nAnswer: 173786025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -433 - -120835?\nAnswer: 120402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -644, -981, -1304, -1607, -1884?\nAnswer: -2129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 204 and 2538?\nAnswer: 86292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4809 = -37*r + 34*r. List the prime factors of r.\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -13573, 2, -2, 1 in ascending order.\nAnswer: -13573, -42, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/1*-1 - 11. Let c = 17 + m. Round c to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*d - 1 - 3*d**2 + d**2 + (63 + 578*d - 63)*(-2 + 2 + 2*d) + 3*d**2 - d**2 - d**2.\nAnswer: 1155*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 5\/(10\/6). Let f be 0\/n*1\/3. Is f != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**3 + 4*m**3 + 2*m**3 + (4*m - 4*m - m**3)*((6 - 3 - 2)*(-3 + 1 + 4) + 3 + 0 - 5 + 3 - 2 - 4) to z + p*m**2 + l*m**3 + n*m and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 66, 2 in increasing order.\nAnswer: 2, 16, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b + 4. Suppose 3*l + 1 = j - 1, -l = -5*j + 24. Let z be n(j). Are -10 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*a + 83*a - 22*a - a**3 - 33*a + 107*a**2 - 2 in the form k*a**3 + m*a + f + s*a**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -770 - j + 770.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.062 + -0.0619942. What is n rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4232615 is divided by 744?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 - 1. Let i(w) = w**3 - 10*w**2 + 10*w - 8. Suppose 3*j = j + 18. Let k be i(j). Give r(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 58, 0.3, -15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 389.1631 decades?\nAnswer: 46699.572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4 = -0*d. Let v be ((-4 - -2) + 2)\/d. Let u be 0 + 1 + 0 + -1. Solve 2*p - 2*k - 2*k - 12 = v, u = 2*k + 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.42, 4.5, 0.022, 0 in increasing order.\nAnswer: 0, 0.022, 0.42, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6*q - 129 = 0. Let t = q - -162. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 equal to -2.32651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2116\/5 or 423?\nAnswer: 2116\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2879 + 0.8242. Let y = r + 0.444. What is y rounded to three dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -2)\/((-16)\/56).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 2*t - 9*t)*(5 + 0 - 2)*(-4 + 4 - 2*t).\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -105 - -104.943. Let j = -0.257 - u. Put j, -4, -0.5, 5 in descending order.\nAnswer: 5, j, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/8)*q*q\/(q**(-1\/5)\/q)*(q**(-1)*q)**(-5\/13)*((q*q\/(q*q*(q**(5\/4)\/q)\/q))\/(q*q**(-1\/11)*q))**(-36) assuming q is positive.\nAnswer: q**(19713\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/981 and -67\/468?\nAnswer: 51012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.8? (a) -0.5 (b) -5 (c) 0.1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 157674 = -1342750. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -90119, -90274, -90429?\n\"Answer: -155*h - 89964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 292*h**2 + 105*h + 557. Does 141 divide j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxrrrrrrxrrrr. Give prob of picking 2 x and 1 r.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/8 (b) -1\/6 (c) 1\/5 (d) -1606 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -2\/5, 0.2, -2\/3, -5 in decreasing order.\nAnswer: 0.2, -2\/5, -2\/3, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20788036 is divided by 436?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 12 = -4*t + 41, t - 5 = 0. Let c(q) = -8*q + 5 - 8*q - 11*q + 26*q. Let o(d) = 1. Determine h*o(p) + c(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 168*x**2. Let i(f) be the second derivative of f**3\/3 - 143*f. What is h(i(g))?\nAnswer: 672*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/54)\/(2\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v - 10. Let w be f(7). Let p be 5 - (-3)\/(-1 + w). Let g = 28 - p. What is the remainder when g is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -1235*y - 5609. Calculate z(-5).\nAnswer: 566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjfjqfqmfqqlmlyfjf. What is prob of sequence mjl?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (30\/63)\/(310\/186). Which is the second smallest value? (a) 3 (b) 3\/65 (c) z (d) 2\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36\/14465 + -9137\/2140820. Suppose -3*t + 0*t = 0. Which is greater: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1866734.\nAnswer: 2, 109, 8563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-7 + 5)) + 1 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26\/5*w - 169\/5 - 1\/5*w**2.\nAnswer: -(w + 13)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.33 - 34.17. Let r = -37.5 - v. What is the closest to 23 in 5, -2\/11, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 43*b**2 - 123*b - 13. Determine u(-40).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 264*p**2. Let c(b) be the first derivative of -b**6\/180 - 37*b**3\/3 + 63. Let t(x) be the third derivative of c(x). What is y(t(r))?\nAnswer: 1056*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 9*w = 4*w + 22, -14 = -4*g + w. Suppose -2*d + 16826 = i + 3*d, 4*d - 67304 = -g*i. Suppose 0 = 10*h - i - 14544. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/55 (b) -0.2 (c) 6 (d) -1132\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4474181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + 3*i**2 - i**2 - 8*i**2 to the form u*i + k*i**2 + z and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((x\/x**(-2\/3))\/x)))\/(x\/(x\/x**(1\/2)))*x**(-4)*x*x\/x**(-6))\/((x*x\/x**(-5\/2))\/x**(2\/11))**(-24) assuming x is positive.\nAnswer: x**(7115\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*j + 2*j - 34 = 0, -2*p + 5*j + 41 = 0. Let b be 47\/(-7) + p\/(-28). Put 4, b, -4 in decreasing order.\nAnswer: 4, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**3 - 11460*x**2 + 230532*x + 506880 = 0. Calculate x.\nAnswer: -3840, -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxwxwhcxhwwahhww. Give prob of sequence xc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 127 + -121. Solve -4*d - w = -5*t, -5*d + 3*t = 2*t - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 499\nAnswer: -1\/499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 30 - 2 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 + 0)*(22*h - 19 + 19)*(-4 - 2 + 3).\nAnswer: -264*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -6 + (8 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (42\/6 - -2)\/1. Differentiate -38*v + 7*v + 38 - f*v - 137 wrt v.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 32 = -0*w - 8*o, -308*o - 313*o = -620*o - 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -1682994\nAnswer: 1682980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.1, -3\/5, -2\/579?\nAnswer: -2\/579","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**3 - p**2 + 1. Suppose -14*w - 11 = -3*w. Calculate j(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 - a?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 258 = -478. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 + -13500025?\nAnswer: -13500010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**3\/2 + 4*n. Let a(c) be the second derivative of 0 + 7*c - 5\/6*c**3 + 0*c**2. What is y(a(v))?\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*((-6)\/90 + 2\/5). Let d = 1156 - 61270\/53. Which is bigger: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.1 (c) -69 (d) 0.5 (e) -707\/10 (f) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276107 is divided by 1015.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1235 + 483. Let w = z - 863. What is the tens digit of (-2)\/4 + w\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3254*t + 3255*t + 5 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -163, 58\/27 in increasing order.\nAnswer: -163, 58\/27, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2 - 6 = 0. Is 116\/6 + d\/(-6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 20, -3*a + 18 = -2*v + 3*v. Solve 2*r - 5*m - 15 + 22 = 0, 9 = v*m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -22, 3, -20 in increasing order.\nAnswer: -22, -20, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2914\/376 + (-2)\/(-8). Let h(q) = -4*q + 35. What is h(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -620 or -88590\/143?\nAnswer: -88590\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 188748.\nAnswer: 188748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(75) + -2) - sqrt(75))**2 - ((sqrt(75) - -1*sqrt(75))**2 + 0).\nAnswer: -40*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - 91) + 52 + (16 - (3 + -2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) -47 (c) -5 (d) 17 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -21*c + 1. What is b(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -111, -124, -141?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-2)\/(12\/(-678)) - 8 and 75.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 126, 302, 478, 654, 830, 1006?\n\"Answer: 176*c - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4207144911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 43\/7*w**2 + 16\/7*w - 144\/7*w**5 - 264\/7*w**4 - 4\/7 - 97\/7*w**3 = 0.\nAnswer: -1, -2\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 3*l**5\/5 - 3*l**3 - 10*l + 12. Let c(i) be the first derivative of v(i). Find the second derivative of c(q) wrt q.\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h + 2. Let t(b) = -b**3 + 8*b**2 - 7*b + 9. Let r be t(7). Let l be (-8)\/6 - (-2 + 15\/r). Let s(p) = -p + 1. Determine l*j(a) + 2*s(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d - 36*d - 13*d - 16*d.\nAnswer: -58*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*s = -3*u + 48, 48 = 5*u - 4*s. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148954433 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: Collect the terms in -7*a + 0*a - 385 - 4*a + 385.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-73 - 7 - 191 - 106)*(10 + 9*j - 10) to the form y + l*j and give l.\nAnswer: -3393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 52*2\/(-200)*366\/(-1586)\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 3*z - 3. Let b be p(-2). Let s be 1*b\/(2\/(-6)). Let t = -1 + 3. Solve 2*o + 5 + 1 = t*m, 0 = -5*m + s*o + 13 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*i = -2*i - 8, 3*i + 6 = 0. Suppose -v = -3*v - f - 3, -6 = v + 2*f. Let c = v - 3. Put c, 1, q in descending order.\nAnswer: q, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 6*n**2 - 4*n - 9. What is the remainder when o(-6) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1209 divided by 15893\nAnswer: 1209\/15893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 21*s**2 - 7*s + 7. Let j(i) = -22*i**2 + 6*i - 6. Let p(o) = -6*b(o) - 7*j(o). Let v(q) = -q**2. Determine v(p(x)).\nAnswer: -784*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5331.51 rounded to the nearest 100?\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -10*l**3 + 15*l. Suppose 0 = -3*n + 5*n + 22. Let a(s) = -2*s**3 + 3*s. Determine n*a(h) + 2*o(h).\nAnswer: 2*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2816 and 191.5.\nAnswer: -539264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 146*w**2 + 52*w - 1608. Let j be a(32). Round j to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/378 and -113\/36?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 + 41*p - 44. Let v be m(18). Suppose 0 = v*t - 45*t - 71. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kll when three letters picked without replacement from {k: 1, l: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 346*d - 2. Calculate g(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: What is 18.775 rounded to 0 decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1014*b**3 - 54*b**2 + 2064*b + 33 wrt b?\nAnswer: -6084*b - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-15) - (-4)\/12 - -9. Suppose -c*h = -3*h - 12. What is the common denominator of -85\/16 and 22\/1408*(298\/h - -1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7064 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7906.188ml to litres.\nAnswer: 7.906188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j + 46*j**2 - j - 5*j to x*j + f + y*j**2 and give y.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/5*30\/(-4). Let v = 14 - 8. Calculate the greatest common factor of i and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 11:18 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35347 is divided by 114?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-718*z - 545 + 718*z + 3*z**2)*(-z + 40 - 40) to the form r*z + q + l*z**3 + y*z**2 and give r.\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 15*k**2 - 3*k + 5. Let v be p(15). Let y = v - -46. Calculate the greatest common divisor of 12 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/2132 and -1\/343876?\nAnswer: 14098916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 152717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 261 - 219. Let u(v) = -v**3 + 6*v**2 - 2*v + 6. What is the least common multiple of u(4) and m?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -1. Let u(s) be the first derivative of s**3 - 3*s**2\/2 - 3*s - 20. What are the prime factors of u(g)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m - 35 = -32*m. Calculate the lowest common multiple of m and 21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -32*((-3)\/6)\/(-1). Let v = 9695\/684 + 13\/171. Calculate the common denominator of v and 1\/(i\/6) - 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*a - 4 = -51*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z + 37946 = 145268. Calculate the highest common factor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 233 and -0.0998771.\nAnswer: 232.9001229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6535*h + 6 + 6530*h - 13111*h)*(2 + 0 - 1).\nAnswer: -46*h + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - -29. Suppose -3*z + b = -2*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2523 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56070 = -12*f + 3*f. Suppose -7*v + 15599 = -2*v + 2*u, -4*u = -2*v + f. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -897268435 to the nearest one hundred thousand.\nAnswer: -897300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/13? (a) 22 (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 0 + 0)*(0*s**3 - 2*s**3 + 0*s**3)*((0 - 4 - 4)*(-4*s + 3*s - 3*s) + (4 - 4 + s)*(-1 + 0 + 2)).\nAnswer: -198*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 6*d + 5. Let l be m(3). Which is smaller: l or -26\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -95*m + 64. Let d be q(3). Sort d, 1, 5 in ascending order.\nAnswer: d, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 19872.64 centimeters?\nAnswer: 198726.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 83849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1756*u - 1756*u - 50*u**2.\nAnswer: -50*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.8, -0.7116, 5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 207049794 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9584.\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/238 and (2 + (-224)\/102)\/((-24)\/9).\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -a562?\nAnswer: -a55f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*m - 3441829 + 3441579 = 0, -2*m = -20*n - 314 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1186985?\nAnswer: 5, 47, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*l**3 - 2*l**3 - l**3)*(-2 - 1 + 5) - 4*l**3 + l**3 + l**3)*(-4 + 2 - 2).\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(832) + 2 - (2 + (sqrt(832) + sqrt(832) + -1 + sqrt(832))*-1))**2.\nAnswer: -192*sqrt(13) + 13321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 106*4\/((-16)\/(-2)). Suppose -n + 15 = -s. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.78 + -22. Let i = -0.2 - z. Let s = i + -0.066. Round s to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 124073.63335 to the nearest integer.\nAnswer: 124074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 3*j - 12. What is m(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.28 and 442.\nAnswer: 123.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*y - 414 + 3777, o - 2 = 0. Let g = y - -1833. Round g to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 215 - 212. Solve -k - 4*k - 4 = -4*j, 16 = -j - z*k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 224*q**2 + 946*q wrt q.\nAnswer: 448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 21*f - 3. What is z(18)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 231 and 164498642.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 596*i - 3473 = 699 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/2)\/(1\/(-2)). Let t be ((-4)\/6)\/(1\/3). Put t, 5, f in decreasing order.\nAnswer: 5, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1006225, -1006210, -1006195, -1006180, -1006165?\n\"Answer: 15*u - 1006240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*u + 9*u - 5*u)*(8*u + 12*u + 11*u) in the form d*u + l + j*u**2 and give j.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 999128?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2 - 2*g. Let q(t) = t + 2*t**2 + 0*t - t**2. What is f(v) + 2*q(v)?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmom when four letters picked without replacement from mojmjjm.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(1 - (-2 + 15))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.444 - -0.044. Which is the third biggest value? (a) 0.3 (b) -3\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4.9, 21, -3, -497, 1 in ascending order.\nAnswer: -497, -4.9, -3, 0, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/4 + 86301*n + 2482620867.\nAnswer: 3*(n + 57534)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32375772?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*g = -p - 30, 4 = 2*p + 2*g. Let w be (-1 + 9)*p\/(-4). Suppose c**3 - 1\/2*c**w - 1\/2*c**2 + 0 + 0*c = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 786 and 50697?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u + 15. Calculate d(7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -7*h + 3*m - 7, -h - 4*m + 22 = 0. What is the remainder when 3 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from rhmhrqmhrhmmmhhh.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122012010222 (base 3) in base 9?\nAnswer: -1565128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 686150 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.1 in 0.1, -0.17, -4, 65\/19?\nAnswer: 65\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-214)\/(-2))\/(-2*(-11)\/(-22)). List the prime factors of ((-3)\/(-10)*-694)\/(l\/535).\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 702538?\nAnswer: 2, 351269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-3) + (-12)\/18. Let x(z) = -k*z**3 - z**2 - 1 - z + 2*z**3 + z**3. Let y(d) = -3*d**3 + 2*d**2 + 2*d + 3. Calculate 2*x(a) + y(a).\nAnswer: -a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2447.\nAnswer: 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16653 + -16655. What is the nearest to -5 in -2\/565, v, -0.1, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.8 - -1.741. Let v = d + 3.059. What is the nearest to 1 in v, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87\/290*-2*48*2\/(-18)*15.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2. Let r(y) = 17 - 4*y**2 + 0*y**2 - 17. Calculate r(n(c)).\nAnswer: -36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/8 + 10017*z\/8 + 6312465.\nAnswer: -3*(z - 6099)*(z + 2760)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, y: 3, f: 3, b: 6, j: 2}. Give prob of sequence byyt.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -7 + 47. Let f be 2*(-2)\/i*-2. Find the first derivative of 0*c + f + 3*c + 0*c + c wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -39, 2\/171, -0.3?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6226.48187 to the nearest 100.\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167824?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 37. What is the remainder when q is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3548197.2 to the nearest 1000.\nAnswer: -3548000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14839995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -51759 divided by -19\nAnswer: 51759\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -57. Let b = -25 + j. Solve -b*s = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - -31. Let v = 92 - g. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.313 times 0.07?\nAnswer: 0.02191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15574 + 31147\/2. Which is the nearest to -160? (a) 1\/4 (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/2 in 485, 3, 3\/5, -1\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w - 354966. Let b(a) = 32*a**2. Give l(b(f)).\nAnswer: -64*f**2 - 354966","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 2*c**5\/25 - c**4\/2 + 6*c**3\/5 - 7*c**2\/5 + 4*c\/5 + 7. Factor t(r).\nAnswer: 2*(r - 2)*(r - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, y: 2, a: 6, j: 2}. Give prob of sequence yaya.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**7\/336 - m**6\/80 - 3*m**5\/160 - m**4\/96 - 95*m. Solve t(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86 and 642936.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -28658.64 rounded to the nearest one thousand?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 3, -2 in increasing order.\nAnswer: -5, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/24 and 95\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -729 - -727. Let m be 0 - ((-4 - 2) + q + -165). Is 174 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/7)\/((-24)\/84). Solve -d + 6*d = 5*v - 10, -2*v = m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, j: 1, i: 2, g: 1, q: 1, n: 1}. Give prob of picking 1 g, 1 j, and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 75 = 5*l, -2*l + 49 = h + 19. Suppose l = 4*f - 1. Which is the nearest to -2? (a) f (b) -1\/8 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2614, -2607, -2596, -2581?\nAnswer: -2562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((3\/2)\/3)\/(15\/(-60)). Let z be (134\/(-42) + 3)*3\/m. What is h in -2\/7*h + 0 + z*h**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1573009 - 1214363133\/772. Let o = 2\/193 - k. Suppose -1341*u = -1327*u - 98. What is the fourth smallest value in o, 1, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**4\/24 + 267*y**3\/2 + 641601*y**2\/4 + 5632*y. Factor n(i).\nAnswer: (i + 801)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - c = 1, -2*s - 14 = -3*c - 3. Suppose s*p = 4*a - 48, 2*p - 22 = -a - 2*a. Suppose 58 - a = 3*f. What is the highest common divisor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1909*1726.\nAnswer: -3294934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + 0*y**3 + 4*y**3)*(-1 - y + 1)*(-225*y + 864*y - 284*y).\nAnswer: -710*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Put -13, 5, 1998 in descending order.\nAnswer: 1998, 5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (989\/(-46))\/(2\/(-4))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (7 + -5 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 556*g - 1110. Let c be p(2). Solve -16*s + 11*s + c*z - 24 = 0, -3*s - 18 = -3*z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*u**5 - 729*u**4 - 75*u**2 + 62*u + 3 wrt u?\nAnswer: 2880*u**2 - 17496*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1425 (b) -2\/3 (c) 0.5 (d) 29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.084707 * -0.049.\nAnswer: 0.004150643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*p + 151 = -159*p + 4901 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 1\/7*q**3 + 41\/7*q**2 - 85\/7*q + 43\/7 = 0.\nAnswer: -43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47517 - 39881. Calculate the least common multiple of i and 22.\nAnswer: 83996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 9. Let x = 21 - t. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440095 a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -235, -3, 2, -2\/13, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-36)*13)\/(388\/(-1164)))\/(3\/24)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 251*s**5*z**2 - s**2*z**3 + 58*s*z**3 + s*z - z**3 wrt s?\nAnswer: 5020*s**3*z**2 - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740508351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 divided by 54?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*h = 9*h + 196 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 10 = 2*o, 4*c + o - 2*o - 4 = 0. Let a be ((-35)\/4)\/(c\/(-8)). Factor 4*y**4 - 2*y**2 + 40*y - 40*y**3 - y**2 - 36 + a*y**2.\nAnswer: 4*(y - 9)*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 5*k**2\/2 + 47*k - 33. Let x be u(-9). Solve 0 = 3*w - x - 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than -732994\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.203 and 0.38.\nAnswer: -0.07714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119\/375 - -2\/125. Let l = 7 - 4. Let h = -1 + l. What is the third smallest value in h, -2, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -7 + 3 - (-5 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 11*j - 0*j - 1376. Solve j*v - 174*v - 2 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-55)*(-4)\/(-6)*57\/(-456).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 146, 346, 590, 872, 1186, 1526, 1886?\n\"Answer: -l**3 + 28*l**2 + 123*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*f + 1196 - 5200 - 4452 = 3784 for f.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-19)*w))**(-44)*w**(-44)*w**22 assuming w is positive.\nAnswer: w**(-858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/2 - 16*i**3 + 69*i**2 - 36*i - 243\/2.\nAnswer: (i - 27)*(i - 3)**2*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 12\/11 (c) 4 (d) -5 (e) 9\/62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -0.24, 12360, -5?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.09223 + 2.90777. Let p = 3 + -5. Let f = 0.1 + -1.1. What is the second smallest value in b, 1, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*c + 8, -3*x = c - 2922 + 2920. Solve 2*r - 6 = -3*t - 10, -4*r = x*t - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/18)\/(34\/153).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9778 times -2.4?\nAnswer: -4.74672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 20*m**5 + 3055*m**4 - 802125*m**3 - 176757660*m**2 - 8266360500*m + 2077650000 = 0.\nAnswer: -150, -81, 1\/4, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6345479*l**6 + l**5 + 33049917*l**2?\nAnswer: -761457480*l**3 + 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v - 175. Let q(m) = m + 70. Let c(l) = 2*i(l) + 5*q(l). Let d(r) = -1747*r + 2. What is c(d(s))?\nAnswer: 1747*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2 + 306*n + 7803 = 0.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -809\/3 - -266. Let h = -0.5 - -0.5. Is t equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 106?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 23. Let i = c - -5. Solve -4*s = i - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-124))\/(((-92)\/(-138))\/((-4)\/3)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -212987231*o**3 + 568250667*o wrt o?\nAnswer: -1277923386*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1502606 and -16?\nAnswer: 24041696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-3*2*(-6)\/60.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c = 1. Let p(j) = -j**3 + 3*j**2 - j + 4. Let d be p(3). Let x(t) = -t**3 - d + 3*t - t - 6*t**3 - t**3. Determine x(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-72))\/((-1)\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/27)\/((3718\/156)\/143).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.20276 minus 89357?\nAnswer: -89350.79724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4*sqrt(85) + sqrt(85) - sqrt(85)))\/(sqrt(605) + sqrt(605)*-3 - sqrt(605)).\nAnswer: -8*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*m - 4 - 2, 4*m = -4. Put -9, f, 3 in decreasing order.\nAnswer: 3, f, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-3) + 0)*-3. Let z be (-13)\/u + 2 + 1. Suppose 0 = -5*w - 3*q - 5, 0 = -w - 3*w - 5*q - 17. Which is the biggest value? (a) -0.1 (b) z (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**2\/s*s*s*s**(1\/39)*s)\/(s\/s**(1\/6)*s**(-2\/9)) assuming s is positive.\nAnswer: s**(1033\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3928\/(-1)*24\/(-48). Suppose -5*d = 8*c - 9*c - 4927, -2*d + n = 3*c. List the prime factors of d.\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16998400 to the power of 1\/2, to the nearest integer?\nAnswer: 4123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**3\/3 - 434*l**2\/3 + 3960*l - 1944 = 0.\nAnswer: 1\/2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -41*0.037\nAnswer: -1.517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 3*v**2 + v + 2. Let n be d(3). Suppose -5*q + 10 = n*m, -m = 3*q - 16 + 4. Let p be 3 + m + 3 + 0. Solve 0*j - j = p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 1:40 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-11))**(8\/5))**42 assuming l is positive.\nAnswer: l**(-3696\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 5*n - 6 = 0, -5*u - 37 + 13 = -2*n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8881181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/6*(-7)\/21*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 10*a**2 + a + 4. Suppose -3*f + 19 - 3 = w, -4*f = 2*w - 22. What is the hundreds digit of y(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5115, -5108, -5085, -5040, -4967, -4860?\n\"Answer: x**3 + 2*x**2 - 6*x - 5112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97*b**6 + 26*b**2 + 2 wrt b?\nAnswer: 11640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1179 = -6*p - 15. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2285488, -4570972, -6856456, -9141940?\n\"Answer: -2285484*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 4*n + 5. Let u be f(1). Find the third derivative of 28*z**3 - 11*z**3 + 31*z**2 + u*z + 18*z**3 wrt z.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 656833*q**2 + 292650 with respect to q.\nAnswer: 1313666*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 5*j + 7. Let w be 1928\/32 + (-6)\/(-8). Let i(m) = -4 + 4 + 62*m - w*m. Let c(h) = f(h) + 4*i(h). Determine c(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10725505 = -157*q + 10740263 for q.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 20 = 5*z, 0 = 3*z + k - 3 - 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8484\/5 - 1399858\/825. Let i = 148\/825 + y. Let i*s + 2\/11*s**2 + 0 = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -200 - -365. Let w = 164.6 - g. Which is the fourth smallest value? (a) w (b) -0.2 (c) 2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 1:43 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -13*x - 299. Let c be p(-23). Factor -9\/2*t**2 + 6 + c*t - 3\/2*t**3.\nAnswer: -3*(t - 1)*(t + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5 + 33)*(-6)\/(-4) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 35 = -3*a. Let x(d) = d**2 + 69*d - 1563. Let m be x(-87). What is the greatest common divisor of a and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18828702*a**4 - 1008429*a**2 + 1 wrt a.\nAnswer: -451888848*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 133123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 3*k - 1. Let h(o) = -20*o**2 - 3*o + 32. Let r(m) = 2*h(m) + 2*y(m). What is the first derivative of r(v) wrt v?\nAnswer: -84*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7341 - -7359. Calculate the remainder when 9143 is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/13 + -3\/13. Let y = 3 + 12. Let w = 13 - y. Which is the second biggest value? (a) o (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1508 - 980. Is d a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1. Let u(i) = -i + 7 + 0 - 1 + 3 - 6. Let s = 1 + -4. Let w(q) = s*j(q) - u(q). Let n(a) = -9*a**2. Calculate n(w(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-3 + -3)) + -3 + -17.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006025328 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*d**2 - 32*d**2 + 34*d**2 - 13*d**2 - 37*d**2.\nAnswer: -100*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6595, 13180, 19763, 26344, 32923, 39500, 46075?\n\"Answer: -v**2 + 6588*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84 + 121\/((-5687)\/3854)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x - 11. What is the lowest common multiple of u(-10) and 33?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1152525.\nAnswer: 1\/230505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 16*b + 8. Let v be t(12). Suppose 0 = -v*n - 3 + 3. Let c be (8\/6)\/(44\/10). Which is smaller: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 3*r - 5. Let p(w) = -4*w + 6. Suppose 144*q - 158*q = 84. Calculate q*z(s) - 5*p(s).\nAnswer: 6*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(sqrt(8) + (sqrt(8) - sqrt(96)\/((sqrt(432) + sqrt(12) - sqrt(12)) + sqrt(12))) + sqrt(8)))**2 - -1*(0 + sqrt(19) + -4).\nAnswer: -669\/400 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 9*d + 6*d + 2 - 6*d. What is the remainder when o(1) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/132 and -39\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253 (base 8) to base 7.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.094, -176, 5, -2\/19 in descending order.\nAnswer: 5, -0.094, -2\/19, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 2:59 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 133, 142, 113, 34?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 + -53. Let k be 19 - 0*(-1)\/3. Solve 5*q + 5*d + 2 = -f, -2*q = -5*d - k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, a: 2}. Give prob of picking 2 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 7. Let x = 4 + 1. Suppose x*c = -0*v - 5*v + 160, -4*c - 2*v = -134. What is the remainder when c is divided by z(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuyyv. What is prob of picking 1 v and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 11. Suppose 2*a - v = -0*a. Solve -a*d - 3*d**3 - d + 1 + 3*d**2 + 2*d**3 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 10*i - 142. Calculate the remainder when 107 is divided by h(18).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 3*v**2 - 2*v - 4. Let l be i(-3). Suppose -3*j + 25 = -l. Calculate the remainder when 33 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 78*j**2 - 17*j - 1. Let r be s(1). Calculate the highest common factor of r and 2010.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 - w - 1. Suppose -3*g = 4*p + 23, 0*p = -4*g - 3*p - 19. Let m be a(g). Let c(l) = l + 6. Let b(i) = -1. Determine m*c(s) - 11*b(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3309.\nAnswer: 3, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - 3*j**2 + 5*j**2 + 7 + 9*j**2 - 7 + 1 - 1 + j**2 - 3 + 3 - 2*j**2 + (2*j + 0*j + 0*j)*(3*j - j + 0*j) + 3 - 3 + j**2)*(2 + 71 + 1)*(-1 - 1 + 1).\nAnswer: -1110*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29722 and 24704?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -283, -364, -505, -736, -1087, -1588, -2269?\nAnswer: -3160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52390*j**2 + 26187*j**2 + 26244*j**2.\nAnswer: 41*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 183412 and 112?\nAnswer: 20542144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, f: 2, l: 2, m: 4, h: 3}. What is prob of sequence hhhs?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 391, -2, -38, 1, 3 in decreasing order.\nAnswer: 391, 3, 2, 1, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - d**3)*(-13 + 11 + 6)*(7 - 2 - 3)*(-1 + 2 - 3) to v*d**3 + a*d**2 + q*d + h and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f + 16*f + 48 = 0. Solve f = 9*b + 22 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 7, -4\/11, -0.3, -1\/509, 0.006?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 14. Let a be f(-10). Let n be 9\/(-3 - (-8 + a + -2)). Which is smaller: 21\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f + 2*f - 2*f)*(3 - 2 + 1) - 76 + 124 - 47 - 538*f to z + g*f and give g.\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 5, 2, 186 in decreasing order.\nAnswer: 186, 5, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -128000 to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 3938 (c) 2 (d) -1 (e) -0.81 (f) 6 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31\/3 - 11. Does p = -1\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19 - 4 + 5 - 27*r**3 wrt r?\nAnswer: -81*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*s**4 + 310*f*s - s**4 - 13*s**3 wrt s.\nAnswer: -24*f*s**2 - 12*s**2 - 78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -3. Let c(x) = -4*x**2 + 12*x + 32. Let y(v) = -v**2 + v + 12. Let a(d) = -c(d) + 3*y(d). Give a(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 6 - 27 = r, 3*r - 157 + 136 = -5*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-104)\/130 + 0\/(-3)*(-26)\/(-156)*1\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -29*o - 1335. Let b be g(-48). Solve -60*n + b*n = 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xn when two letters picked without replacement from bbnxaxxbabxbxbabx?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -143*c**3 + 5293*c**2 - 69*c + 25. Give d(37).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 32*s**2 + 3*s - 79. Calculate o(32).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t**2\/t))**3*t**5*t*t\/(t*t\/(t*t**(-2\/23))*t*t) assuming t is positive.\nAnswer: t**(159\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 16501087 to the nearest 10000.\nAnswer: 16500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 604 divided by 5?\nAnswer: 604\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**2 + m + 3. Suppose -l = -5*q - 3*l + 23, -q = 4*l - 19. Is d(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-495)\/429 + 4\/26. Let t(u) = -43*u**3 + 4*u**2 + 4*u + 2. What is the remainder when 170 is divided by t(y)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + x**2 - x - 1. Let n(f) = -246*f**3 - 3*f**2 + 3*f + 3. Calculate n(q) + 3*u(q).\nAnswer: -249*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 35*b**2 - 33*b + 144. Let d(o) = o**3 - 7*o**2 - 5*o - 10. Calculate the remainder when z(-34) is divided by d(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175858221 is divided by 1277?\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -5 + 0*a**2 - 1\/48*a**4 + 3*a - 1\/80*a**5 + 0*a**3. Let n(u) be the first derivative of p(u). Suppose n(h) = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 12:42 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*o**3 + 14*o**3 + 2*o**2 - 2 + 6*o**3 - 77*o**4 as j + t*o**2 + g*o + x*o**3 + y*o**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 > -130764422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -26\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (4 - (0 - (-4 + -11)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 52*p**2 + 237. Let f(j) = j + 39. Calculate f(k(a)).\nAnswer: 52*a**2 + 276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -683171*a**3 + 436584*a**3 + a**2 - 552973*a**3.\nAnswer: -799560*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -9*k**2. Let l(g) = -3*g**2. Determine l(f(j)).\nAnswer: -243*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -44 + (13 - 0)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1288, -5, 3, 30, -7, 0, -16.\nAnswer: -16, -7, -5, 0, 3, 30, 1288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 - u**2 + 1. Let f(p) = -29*p**3 + p**2 + 6*p + 1. Let l(z) = f(z) - 2*n(z). What are the prime factors of l(-3)?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4336 from -0.03.\nAnswer: -4336.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 10001101010100?\nAnswer: 10001101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uutuutcejeecucu. What is prob of picking 1 c and 2 u?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 10:31 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 93.1 and -799?\nAnswer: 892.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + 4 + 5 + sqrt(171) + 2 + sqrt(171)))**2.\nAnswer: 1188*sqrt(19) + 7245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 15 = -3*x. Let o be x\/(-9) - (-20)\/6. Suppose 0 = 3*w + 3*a - 3, -4*w + o*a + 9 = -2. Solve 2*i + 6 = w*n + 4, 2 = i - 2*n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 0*t + 1 + 2*t + 0*t - 3*t. Does 5 divide i(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21200221122001 (base 3) in base 11?\nAnswer: -23461aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 3. Let m(x) = 4*x - 13. Suppose 0 = -8*g + 2*g. Suppose r - 2 = g, 8*r - 36 = -c + 3*r. What is c*u(h) - 6*m(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7695, -0.5, 2\/7 in descending order.\nAnswer: 7695, 2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (4 + 4 + 4 + -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, -69, 126 in decreasing order.\nAnswer: 126, 68, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1888 is divided by 105?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 42*l**2 - 3*l + 113. Determine z(42).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5668781272.\nAnswer: 2, 7, 11, 31, 26987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + sqrt(6)\/sqrt(3) + 1).\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 634 - 633. Solve 9*u = 8*u + p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, h: 3, l: 2}. Give prob of picking 3 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3821252 litres in millilitres?\nAnswer: 382.1252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5729 - -5734. Which is the nearest to -1\/4? (a) 2\/5 (b) q (c) 9\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 856 - 192. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1571.\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -11.2. Let d = 0 - -0.1. What is the nearest to d in q, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 12:31 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 7. Let d be (3\/(-5))\/1*-5. Sort 1, d, c.\nAnswer: c, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 805620 divided by -174\nAnswer: -4630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6135260 is divided by 143.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 5*g**4 + 5)*(295*g - 186*g - 168*g).\nAnswer: 295*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 143 - (-72 + 100 - -81).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2303340132123 + -10?\nAnswer: -2303340132133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-3))\/(f*f\/(f*f**3))*f**(2\/7)\/(((f\/(f\/((f*f**7)\/f)))\/f)\/f))**(-2\/91) assuming f is positive.\nAnswer: f**(66\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.1 - 7. Let g = -6.4 + 6. Which is the second biggest value? (a) h (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3609*s + 1236*s + 170856 for s.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-10)\/j)*j\/(j**17\/j)*j)\/(j**(-12)*j\/j**(-42)) assuming j is positive.\nAnswer: j**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20286258 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360\/6 + (-112)\/14 + 19.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*5\/2 - (41 - (-48 - -40)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*r - 33*r - 24 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 6215?\nAnswer: 6212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -83, -142, -221, -326, -463?\nAnswer: -638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 5*z - 6, 4*w - 7 = 3*z + 1. Let h(k) be the first derivative of 0*k + 1\/6*k**3 + 0*k**w + 1\/8*k**4 - 3. Factor h(d).\nAnswer: d**2*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 5:30 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/21 - (-18)\/14. Let q = 8 + d. What is the remainder when q is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/3 + (-7)\/(-21). Suppose x*m + 1 = -g + 4, 4*m + 9 = 3*g. Solve 0*r - g = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -9. Are -1 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 + 6*q + 10. Let j be z(8). Let k be ((-14)\/j - (-574)\/5) + 1. Calculate the greatest common factor of k and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504575.\nAnswer: 5, 20183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -197\/51, 3\/4, 1\/24, -1, -0.4, -5, -4\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146714212.\nAnswer: 2, 36678553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 466.1662l?\nAnswer: 466166.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8235472 is divided by 367?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391325.\nAnswer: 5, 11, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -51, -98, -145?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3172*f. Let w(k) = -23*k. Calculate w(j(x)).\nAnswer: -72956*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-22)\/b**41*(((b*b**13*b*b)\/b)\/b)\/(b**25*b) assuming b is positive.\nAnswer: b**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 + 4.93. Let h = l + -1. Let o = 3.99997 - h. Round o to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15013, 30003, 44993, 59983, 74973, 89963?\n\"Answer: 14990*m + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - r**3 + (r**3 + 1 - 1)*(-2 + 3 - 5) + r**3 - 5*r**3 - 4*r**3 + r**2 - 3*r**2 + 3*r**3 + r**2 in the form a*r**2 + m*r + k*r**3 + q and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*q, 0*q = j + 2*q - 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b - 35 - 117 = 0. Suppose -4*v + 4*u = -0*u - b, -4*v + 2*u = -6. Sort 3, -173, v in descending order.\nAnswer: 3, v, -173","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1966516072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4694, -6797, -8892, -10979, -13058?\n\"Answer: 4*q**2 - 2115*q - 2583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 340 or 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -280 + 3105. List the prime factors of v.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfito. What is prob of picking 1 i and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 3 (c) 0.4 (d) 0.3 (e) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1138263 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -11*((-6)\/6 - 0). Suppose 4*l - 356 = 4*s, 9*l - y*l - 5*s = -171. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**10\/9450 - q**6\/72 + q**5\/60 - 19*q**2. Let k(x) be the third derivative of g(x). Differentiate k(p) wrt p.\nAnswer: 64*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42004.1527038 - -433.1527738. Let g = s + 41570. Let u = -1 - g. Round u to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -8. Let p = -0.5 + -1.5. Is p at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1097991005?\nAnswer: 5, 443, 495707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 12. Let f(k) = -14*k + 11. What is the remainder when f(-3) is divided by 0 - -7*-4*y\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 10:16 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 32, 59, 86?\n\"Answer: 27*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.723 + -6.223. What is the second smallest value in 4, -7, x, 2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 a factor of 72280731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventy-seven halves of a minute?\nAnswer: 2310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**2 + 2. Let s be q(-3). Let x = -140\/3 + s. Which is the third smallest value? (a) 4 (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 - 58.2. Let k = -0.2 - h. What is the smallest value in -1\/3, k, 2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-6)*-3)\/(4 - 2). Let t(l) be the first derivative of 1\/2*l**o - 3 + 0*l. Let p(m) = -3*m. Give p(t(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 - 597*k + 20826. Calculate c(154).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -2)\/(4\/(-8)). Let l be 662\/3 - h\/6. Suppose -g + l = 3*g. Calculate the greatest common divisor of 22 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 38\/(-28) - 2\/14. What is the nearest to -1 in -2, 1\/2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 313.5 + -314. Which is the nearest to 0.06? (a) 5 (b) d (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + 7.7. Let q = x - 12. Let g = 8 + q. What is the third smallest value in 0.4, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.5796209 to 2 dps.\nAnswer: -2.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.81 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408\/17*-2*3\/16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*i - 17*x + 22*x, 2*i - 2 = x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 401, 98, 439 in descending order.\nAnswer: 439, 401, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24 - 24 - 27*l + 3*l - 8*l + 2*l + 2 + (0 - 1 + 0)*(-l - l + 0*l).\nAnswer: -28*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -12*z + 18 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32354358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -126 (b) -0.2 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) 2 (c) -1562 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 1, 0.2, 3.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(400) + sqrt(400) + sqrt(25))\/(sqrt(5) + -4*sqrt(10)\/sqrt(2)).\nAnswer: -13*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 5377, -3, 5, -18.\nAnswer: -18, -3, -3\/7, 5, 5377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -37*j + 26. Suppose -j*u - 204 = -d, -3*d + 0*d + 660 = -3*u. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**6\/180 + z**5\/10 + 2*z**4\/3 + 16*z**3\/9 + z**2 - 15. Let p(u) be the second derivative of s(u). Factor p(y).\nAnswer: 2*(y + 1)*(y + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -4. Let s(j) = 2*j + 1. Let m be s(l). Sort m, 2, -5.\nAnswer: -5, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/8 and 25\/137?\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 615182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*z - 11*z - z - 2)*(5*z**2 + 0*z**2 + 3*z**2).\nAnswer: 8*z**3 - 16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02250149 rounded to 4 decimal places?\nAnswer: 0.0225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-4))\/2 - -24. Suppose 0*w + f = -2*w. What is the units digit of w\/(-5)*5*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29973013 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 154311 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11030 - -100313332?\nAnswer: 100331022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119928 is divided by 2998.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2586000 and 107750.\nAnswer: 2586000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182663.\nAnswer: 13, 14051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 5*h - 6*h**2)*(20*h**2 + 387*h**3 - 9*h**2 - 15*h**2 - 458*h**3).\nAnswer: 426*h**5 + 24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.39 or 1127781?\nAnswer: 1127781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4344.222 millennia in centuries?\nAnswer: 43442.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*(k\/k**(-1\/4))\/k)\/((k*k*k*k*k**(4\/5)*k)\/k*k))\/(k\/(k*k\/(k\/(k\/(k\/(k*k**1*k)))))*k*k**(-4)))**(-5))**(4\/13) assuming k is positive.\nAnswer: k**(-29\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 18*m**2 + 18*m - 14. Let d be h(17). Which is the nearest to 0? (a) d (b) 0.3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 10 = 2. Suppose r + 2 = -r + 4*i, 0 = 4*r + 4*i - k. Solve r - 6 = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34202\/12215*(-5)\/(-152)*6\/(-7)\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/12 - 27\/18.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**2 - g + 11. Let z be d(3). Let q = z - 39. Solve r + q*l = 2*l + 6, 0 = 5*r - 5*l + 30 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.2 + 25. Let f = m + 1. What is the second biggest value in -1, 0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 26 = -3*p - 2*q, 3*p = 5*q + 46. Let g = -4.96 + 4.46. Let s = 1 - 0.6. Sort p, g, s in ascending order.\nAnswer: g, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 43573?\nAnswer: 43574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**3 + 174*s**2 - 85*s + 869. List the prime factors of a(-87).\nAnswer: 2, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-58)\/725 + 81\/75. Is -602 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 847 - 859. What are the prime factors of 56\/21 + (-12340)\/q?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. Suppose 4*d = i*d + p + 48, -3*p - 14 = -d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-18)\/(i*i\/((i*i*(i\/(i\/(i\/i**(-17))))\/i*i)\/i*i))*(i**31)**(-9\/7))**13 assuming i is positive.\nAnswer: i**(-3627\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 144\/(-136) - 2\/(-34). Let s = 11.5 + -12.5. What is the nearest to n in 0.1, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 502984776?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.08312946 and 4.1.\nAnswer: 4.18312946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 464, 1361, 2244, 3107, 3944, 4749?\nAnswer: 5516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -14*u**2 + 1787*u - 1788. Calculate t(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 1940 = 22*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((6*(1 + (sqrt(605) - (sqrt(605) + 1 + sqrt(605)))))**2 - (-3*(1 + sqrt(605))*2)**2)*6.\nAnswer: -4752*sqrt(5) - 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 9 (c) 1\/4 (d) 6.9 (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5952.9 millilitres?\nAnswer: 5.9529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*c = 2*n - 89, -191*c + 196*c = 6*n + 203 for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115 - -234. Let q = a + -109. Suppose q - 1 = 3*b. Solve 2*v = b*w + 7, -2*w + 0*v - 8 = 2*v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -335 (base 9) in base 14?\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**2 + 23*m + 1. Let k be d(-10). Let a = -68 + k. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*i - i. Suppose 0 = -3*h + i + 2. Solve -y - 3*m = m - 8, -h*m = -2*y + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -1. Let c(s) = 4*s + 2. Let d = 5136 + -5133. Let a(p) = -5*p - 3. Let o(u) = d*c(u) + y*a(u). Let g(l) = -2*l**2. What is o(g(t))?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 6803876?\nAnswer: 5\/6803876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -46, -5, -6, -5\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d**3 + 8*d**3 - d**2 + 3 + d + 21 to the form s + b*d**3 + r*d + x*d**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32415154 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -13*m - 481. What is the remainder when u(-41) is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -21.8. Let q = n + 0.2128. Round q to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 3, 21, -142, -5 in decreasing order.\nAnswer: 21, 3, 2, 0, -5, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (-2 - -3) - -2. Let k(t) = -t + 8. Let y be k(g). Let z be (y\/2)\/(4\/(-24)). Which is bigger: z or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -28203*o + 507959. Determine j(18).\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - -2. Let u = i + -7. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eb when two letters picked without replacement from kcenmbe?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 5*g - 38, -244*p = -254*p - 4*g + 22 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 8, s: 6, l: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1451075719?\nAnswer: 1451075719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/9025 and 41\/10.\nAnswer: 18050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 4*a - 637, 2*a + 294 = -2*i + 716. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5046851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -45*h**3 + 5630*h**2 - 173565*h - 158760 = 0.\nAnswer: -8\/9, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/(-225))\/(3\/(-45)))\/(((-78)\/(-845))\/(-3))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -57108.57649 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/15)\/(49\/(-42)*2).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/101 in 2, 7386, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 1276*h - 40. What is the tens digit of a(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 10, -4 in descending order.\nAnswer: 10, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/93, -7, 1, 0.1, 54\/5, 4 in decreasing order.\nAnswer: 54\/5, 4, 1, 0.4, 0.1, 1\/93, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 643938?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -311111411411 - -4?\nAnswer: -311111411402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.2328593 hours in weeks?\nAnswer: 0.0966241625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p + 14*p = -42. Let s be 27\/(-21) + 2\/p + 1. Sort s, 66, -2, -0.1 in increasing order.\nAnswer: -2, -0.1, s, 66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 5:47 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47161*b**3*n**2 + 3244*b**3 + b**2*n - 3*b*n wrt n.\nAnswer: -94322*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d - 54841. Let f(b) = 15*b**2. Calculate t(f(r)).\nAnswer: 30*r**2 - 54841","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17565.906 minus -75?\nAnswer: 17640.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*n**3*u**3 + 12*n**3 + 186*n**2 + 328*u**3 with respect to u.\nAnswer: 18*n**3*u**2 + 984*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-108)\/(-105))\/3*360\/320)\/(9\/15).\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0020484 rounded to five decimal places?\nAnswer: 0.00205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 7*y - 5, -189 = 4*j + 4*y - 169 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*h + 527 - 41, -4*x = 5*h - 630. Let p(v) = 14*v**2 + 160*v - x*v + 18*v**2. Let j(a) = 4*a. Determine p(j(n)).\nAnswer: 512*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mi when two letters picked without replacement from qqqqimmm?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1183\/845 - 6\/(-10). Let y(r) = 3*r - 10. Let x(o) = 3*o - 9. Let l(p) = 7*x(p) - 6*y(p). Give l(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.404185 millilitres?\nAnswer: 0.000404185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 880799382 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8106273 is divided by 817?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (115*r**2 + 132*r**2 - 73*r**2 + 44*r**2)*(0 + 0 - r**2 + (-r - r + 0*r)*(2*r + r + 7*r)).\nAnswer: -4578*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -74*m - 457. Give y(-7).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 39 = -2*l, -9*l + 4*l + 55 = -t. Let p = 20 - l. Let x(d) = d**2 - 5*d + 14. Let i be x(10). What is the highest common factor of i and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9*n**2 - 13*n**3 + 10*n - 14*n**3 - 3 + 0*n - 2*n**2 + 26*n**3. Calculate j(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3144211 times -0.118?\nAnswer: 371016.898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-2 - -3)*-64. Let o = 114 + z. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/9)*f*f*f**14 assuming f is positive.\nAnswer: f**(145\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, a: 7, v: 3, t: 5}. What is prob of picking 1 g, 1 v, and 1 t?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 3*x**2 - 4*x - 5. Let p be h(-3). Let y = p + -3. Let z(d) = -d**2 + 6*d + 7. Let s be z(7). Solve s = y*j - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62132?\nAnswer: 2, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -16. What is the tens digit of (76\/o)\/((-2)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12, -159 in decreasing order.\nAnswer: 12, 3, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -874*s + 8422 = -106946 for s.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 6.91397560751 and -5.\nAnswer: 1.91397560751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86 - 25. Suppose -s = j - 23, 2*j - 64 + 16 = -3*s. What is the remainder when i is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1270057325?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w. Let q be ((-12)\/6)\/(2*1). Let d be h(q). What is the units digit of (-3 - -15)*(-2)\/d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 - 4)*(2 - 2*t - 2).\nAnswer: 22*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14401660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (0 + 3)) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 166) + (-687 - -771).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1005 (base 10) to base 16\nAnswer: -3ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53627653 times -1?\nAnswer: -53627653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*m - 2*f - 3, -4*m = 3*f + 3. Suppose m = 5*q - 7 - 13. Suppose v = 4*x - 233, v = -3*x - q*v + 192. What are the prime factors of x?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0167 and 1761.\nAnswer: -29.4087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/4))**(-3\/19)*(j\/(((j*(j**2\/j)\/j)\/j)\/j))\/j**2 assuming j is positive.\nAnswer: j**(-15\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7359323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-961407)\/(-1) + (-13 - (-12 - 7)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40723247 > -40723249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -94 - 664448?\nAnswer: -664542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 322\/9, 4, 5 in increasing order.\nAnswer: 4, 5, 322\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -0.1, -3, -0.2, -15 in decreasing order.\nAnswer: 24, -0.1, -0.2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ipipapippaqunpnpp. Give prob of sequence iiiu.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 28*x - 1. Does 9 divide b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 153711979?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*c - 25 = 0. Let z(y) = y. Let b be z(c). Suppose -2*i = -4, 0 = 5*s - 7*s - b*i + 44. Solve 0 = 2*o - 6*a + a, 5*o - s = 4*a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r = 19*r + 660. What are the prime factors of r?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 - 41. Let m(n) = n**2 - 4*n - 1. Let x be m(q). Suppose 3*h - x*g - 4 = -h, 3*h + 5 = -5*g. Solve h = -2*f - 3*r - 3, -4*f = -7*f - 3*r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m**(-3\/13)*m**(-2) assuming m is positive.\nAnswer: m**(-3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 - 9*a**2 + 8*a + 11. Let r be n(-5). Calculate the common denominator of ((-12)\/(-20)*1)\/(r\/210) and -15\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 48 = 51. Let r(j) = 6*j - 24*j + o*j + 5*j. Let t(i) = 44*i - 1. Determine r(t(b)).\nAnswer: -88*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 2:45 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h - 9. What is g(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 4\/5 (c) -5 (d) -1\/44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 h when three letters picked without replacement from hvhvvhvshpsvvv.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from krkkrkkrkkk?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w + 6*w**2 + 11*w**2 - 16*w**2 - 2*w.\nAnswer: w*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33558?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63300 and 181000.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (32435 - 32435 - 54*v**3)*(3 - 2 + 1) as s*v + y*v**3 + l*v**2 + n and give y.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k - 16*k - 8 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 55 = 20*z. Suppose -2 = 3*s + 2*f, 3*s - 31*f + 4 = -32*f. Put z, -3, s, 8 in ascending order.\nAnswer: z, -3, s, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43883.471 + 43880.3709927. Let z = -3.1 - y. Round z to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/3 or -1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147) + -1)*-3 + -4)**2 - (5 + ((3*sqrt(147)*-3)**2 - sqrt(147) - sqrt(147)))) + -5.\nAnswer: -10593 + 56*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(((-14)\/(-8))\/7). Let k be 4\/((c\/2)\/2). Let 0 + k*s**3 + 0*s - 2*s**4 - 2\/3*s**2 + 2\/3*s**5 = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40370049383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -123487?\nAnswer: -123484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**4\/2 - 3*c**3 + 11*c - 13. Let l(b) = 3*b. Give 18*l(p) + 3*w(p).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -0*a + 15*a. Suppose 171 = a*b - b - 3*u, b = 4*u + 166. Let c = b + 4. Does 38 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/2 - (-26 + 26). Let q(c) = 35*c - 14*c + 3*c**w - 20*c + 15*c**2. Let v(u) = 2*u**2. What is q(v(a))?\nAnswer: 72*a**4 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (38 - 21) + -7 + 0 + -31\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1102020220 (base 3) to base 13\nAnswer: c903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 530 = 5*y + 5*g, 0*g - 302 = -3*y + 5*g. Let d(a) = 9*a - 5. Let b be d(2). What is the greatest common divisor of y and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epphhcnhecnh. Give prob of picking 1 e and 1 n.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/69704 and 43\/4112536.\nAnswer: 4112536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6004 + -1?\nAnswer: 6003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 3:36 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12780 (base 9) to base 5.\nAnswer: -234113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2 - 2517580*v + 2517582 = 0.\nAnswer: -1258791, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6}. What is prob of sequence bb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-9158)\/(-8664))*(-3)\/(-78)*-4.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -190, -2\/7, 0.09 in descending order.\nAnswer: 0.09, -2\/7, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/45 + 4\/10. Let b = z - 0. Let t be (-4)\/2 - 9\/(-4). What is the closest to t in -0.5, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20816*g**2*q**3 - 83*g**2*q + g**2 - 272*g*q**4 + 20*g*q**2 + 3455*g*q wrt q?\nAnswer: -124896*g**2 - 6528*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5408.99995129 + -5409. Round z to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 318499113 to the nearest 1000000.\nAnswer: 318000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from gsgfggfgsqffsfgssf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -8, -34\/3, 7, -70?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13 - -37)\/((-15)\/90*-12). Let h be 6\/(-21) + 4204\/14. What is the highest common divisor of h and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 176\/7 + -25. Let r = -0.827 + 0.327. Which is the nearest to -2? (a) 0.1 (b) s (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = r - 7, -a + 2*a - 17 = 4*r. Let l be (72\/21)\/a - -2. Find t such that 0*t**2 + 2\/7*t**3 - l*t - 4\/7 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57.3 + -0.159357509.\nAnswer: 57.140642491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnueotnntooioe. What is prob of picking 1 t and 3 n?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4204 - -4190. Which is the smallest value? (a) -3 (b) -0.4 (c) -0.12 (d) h (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 7, a: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -211 - -2745\/13. What is the fourth biggest value in -0.5, 11\/5, -0.2, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 409*b**3 - 4*b**2 - 3*b + 4. Let i be o(2). Let n be 1\/((-2)\/(-6)) - i. Is (n\/5)\/((-2)\/10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 10, -4*s = 3*l - 14 + 7. Put -1, 90, l, 4 in ascending order.\nAnswer: -1, 4, l, 90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*o + 10*o + o)*(-166*o**4 - 25*o + 16*o + 9*o - 215*o**4).\nAnswer: -381*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n - 3*n - n in the form v + j*n and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13406806 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 50\/90301 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160257 is divided by 6560?\nAnswer: 2817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/62910 and -2\/105?\nAnswer: 440370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 131300 (base 5) in base 8?\nAnswer: 12120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g = -1 + 22 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-4392)*-2501 + 1\/(2\/4)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1129, -4549, -10249, -18229, -28489?\n\"Answer: -1140*j**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477 is divided by 119.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 minus -0.42022991462?\nAnswer: 221.42022991462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 3)*(12*i - i + 3*i) - 3*i - 3*i + 4*i.\nAnswer: -58*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 + 6*v + 10. Let w = -23 - -75. What is the remainder when w is divided by p(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*12\/((-1776)\/(-370))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -12. Let i = z - -1. Suppose 5*s - 4*m = -3*m + 5, m - 13 = -i*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4)*(5 + 13\/(-3)). Which is the closest to y? (a) 4 (b) -5 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 50369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -7*m**3\/3 - 3*m**2\/2 - 1. Find the second derivative of l(c) wrt c.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27320\/64 - 3\/(-24) - 0 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**2 - 11*w + 40. Is a(31) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13824 and 486?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100.178098 - -100.17. Let n = 2 + -2.008. Let s = n - b. What is s rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 + -28. Let k(b) = -b**3 + 10*b**2 + 4*b - 67. Calculate the remainder when k(9) is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, b: 4, v: 5}. Give prob of picking 1 v and 3 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36 or -1151?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -340.5624781153+0\nAnswer: -340.5624781153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -2 (c) 76\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 7:50 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*q - 3*q + 0*q to the form c + k*q and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 8:52 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 10*f - 132 = 3*k - 0*f, 0 = 9*k - 4*f + 236 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3778 - (-7 - 72\/(-8)). Suppose r = 27*g - 2839. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 3*z**2 - 14*z + 18. What is the units digit of r(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47\/328480 or 0?\nAnswer: 47\/328480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + 3*z**2 + z - 7*z**2 - 3*z**2 + 2*z**2 + 9 + (3*z + 3*z - 4*z)*(-3*z - 2*z + 3*z).\nAnswer: -9*z**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2631 is divided by 163?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -14*h - 4. Let c(u) = u + 1. What is -3*c(f) - w(f)?\nAnswer: 11*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r**2 + 80531172*r - 32212472 = 0.\nAnswer: -4026559, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 21 = -3*j. Solve -7 = 2*d + j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00622596187 rounded to 6 dps?\nAnswer: 0.006226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 574588410 and 34?\nAnswer: 574588376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102 + -60. Let a = 37 - y. Put a, 3, 0.4 in decreasing order.\nAnswer: 3, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 510 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1933 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 4*l**2 - 4*l + 7. Calculate b(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (31\/3 + (-3)\/9). Is k\/(14\/894)*(-17)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/9*-3*-1. Let r(s) = -4*s - 2*s**3 + 3*s**2 - 6*s**2 + 3*s**3. What is r(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 0*l + 0 + 3*l**2 - 1\/180*l**5 + 1\/18*l**3 + 0*l**4. Suppose x(p) = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t**2 - 2*t**2 + 5 - 22 + (4 + 1 - 2)*(4*t**2 + 4*t**2 - 6*t**2) - t - 2*t**2 + t - 3*t**2 + 3*t - 3*t in the form a*t**2 + m*t + j and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1120 is divided by 1011.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -26. Suppose d - 29 = 4*v, 2*d - j*v - 24 = d. Suppose d = c + 2*i, -2*c + 18 = -0*i + 3*i. Calculate the highest common divisor of 45 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150851547 divided by -9\nAnswer: 16761283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4*(-8)\/20)\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 53926087.18 to the nearest 10000.\nAnswer: 53930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/66960 and -17\/240?\nAnswer: 66960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 12 - -13 - (2 - 6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**3 - 15*q**2 = 0 for q.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42231 - 11?\nAnswer: 42220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1198 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4592 <= 4593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen quarters of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 54*o + 1581. Calculate a(38).\nAnswer: 973","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2573, 5140, 7707, 10274?\nAnswer: 12841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.397 and 10167465?\nAnswer: 10167464.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*u + 61 = -90 + 52 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a = 29*a - 13285. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvwwvwz. What is prob of picking 2 w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -77*z + 1886. What is the remainder when 6191 is divided by n(24)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1077*a = 1087*a - 62 + 462 for a.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 2:49 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*l**3 - 4856*l**2 + 62822*l + 12282004.\nAnswer: 2*(l - 101)**2*(15*l + 602)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 546364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 - 5*p**2 - p - 3*p**3)*(0 - 1 - 1) + 276*p - 47*p**3 - 276*p.\nAnswer: -41*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3032909*t**3 - 10*t + 10748429.\nAnswer: -9098727*t**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103 divided by 280.\nAnswer: 103\/280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 344, -5, -17, 178 in decreasing order.\nAnswer: 344, 178, 4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37328?\nAnswer: 2, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.024327922 to three decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -0.675.\nAnswer: 0.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-8 - (-7 - 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - sqrt(20)\/sqrt(2)*2)\/sqrt(5)*-4.\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p + 806 - 890. Solve 3*o - 6*o - k = -p, -4*o + 5*k = -35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216\/13 < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*b + 50, -5*f = 4*b - 9*b. Let v(u) = u - 4. Give v(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3486760 and 3355.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000237440245 rounded to seven decimal places?\nAnswer: -0.0002374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c + 7 + 4*c + 0 + 0*c. Let x be u(3). Suppose -3*s - 3*d + 327 = 0, 513 = s + x*s - 3*d. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 8*w - 9. Let t be o(-6). Suppose 4*g - 5*k + 12 + 18 = 0, 2*g + 4 = -t*k. Let d = -2 - g. Solve -18 + 6 = d*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 5*k**2 + 4*k - 2. Suppose 7 - 1 = -c. Let p be (3\/c + 1)*-8. Let l = 0 - p. Determine j(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 12 - (2472 - 2464)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 1099.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3))**(3\/17))**(-1\/32) assuming l is positive.\nAnswer: l**(-1\/544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = -x. Let k = 3 - x. Suppose 0 = -5*j - 31 + 6. Which is the closest to -0.1? (a) -1 (b) j (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 2*t**2 + 5*t)*(-3 + 3 + 2)*(16*t**2 - 28*t + 28*t).\nAnswer: 64*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 866 + -7811\/9. Let a = 77501\/12 + -6451. Calculate the common denominator of j and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 449594 times -5\nAnswer: -2247970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 3*o + 12 = 0, 4*t - 4*o = -10 - 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/664 and -19\/581?\nAnswer: 4648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16.76 and 7.2855.\nAnswer: 24.0455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1070, -1058, -1040, -1016, -986, -950?\nAnswer: -908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 16 = 2*w. Let h be -4*w*3\/6. Let u be 15*(h\/(-6) + 0). Solve y - 5*y + u = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 0 - 2*i**2 - i - 1\/6*i**3. What is the units digit of k(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*m**2*r - 2*m*r + 282*m + 82211*r wrt m.\nAnswer: 8*m*r - 2*r + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -115 (b) -1 (c) -1\/2 (d) 1.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 - (7 - (-1 + 11))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 8 = -6*g. Suppose d - 3*d = -g. Let k = 125 - 122. What is the biggest value in k, 4, d, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from usugouggguo.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1100111011100 (base 2) to base 13\nAnswer: -3023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 2*d - 740, -5*p = -2*d - 2*d - 951. What is the remainder when p is divided by (-320)\/(-55)*2101\/382?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from {w: 10, p: 2}.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*h + 1. Let s = 3\/2 - h. What is the nearest to s in 0.3, 1\/2, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8\/21 + 2\/7. Let w be (-2)\/(-4) + 36\/(-56). What is the biggest value in -0.5, w, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/4)\/(f\/f**(-2\/7))*f**(-2\/5)*f\/(f\/f**(-1\/3)*f) assuming f is positive.\nAnswer: f**(-953\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -184788 and -184788 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1 = 4*a - a, q = 3*a + 5. What is the third derivative of 178*z + 3*z**q - 178*z - z**5 - 3*z**5 wrt z?\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -0.8897.\nAnswer: 4.1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -15 + -5 + 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 249 - 248*m + 983*m - 235*m - 285*m wrt m.\nAnswer: 215","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 563, 1212, 1859, 2498, 3123, 3728, 4307?\nAnswer: 4854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*g + 39*g + 34*g + 32*g - 198*g + 37*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 803*v = -k + 919*v + 337, 3*v - 1 - 1 = k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**(1\/4))\/(g*(g\/g**(-6))\/g))\/(g**8\/g**(2\/17)))**(1\/47))**(-2\/155) assuming g is positive.\nAnswer: g**(31\/7990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*m + 21 = 0, 2*q + 0*q + 5*m + 3 = 0. Suppose 3*c - q = 6. Let a be (-21 - -18)*(-1)\/(6\/8). Solve -25 = -x + a*j, -c*x + 6*x - 15 = j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368202242 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -398*u - 6706. What is the remainder when 27719 is divided by g(-17)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22846 + 5\/5*7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 9 + 16 = 0. Calculate the common denominator of 97\/14 and 2\/4 - (j + 63\/39).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 179 = -7*k. Is (-56685)\/k - (-2)\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**2 - 61148412*m + 61148411 = 0.\nAnswer: 1, 61148411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*y + 14 = 3, -3*y = -3*i + 15 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/4 in -1\/4, 0, -737?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 0 in descending order.\nAnswer: 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2))\/(35\/(-14))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120 - 61. Suppose 0 = -4*f + x - 6*x + 85, 4*f - 4*x - 40 = 0. Calculate the remainder when l is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nltlxlhlnltnlxtlnlhn. Give prob of sequence tnxh.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -146 + 47. What is the remainder when 86 is divided by (g\/(-12))\/((-3)\/(-8))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 185, 194, 213, 248, 305, 390, 509, 668?\n\"Answer: x**3 - x**2 + 5*x + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -58. Let d = -77 + 115. Let a = d + q. Sort -1\/2, a, -5 in decreasing order.\nAnswer: a, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**3 - k. Let q(b) = 2*b. Let t = -21 + 13. Let g(y) = t*q(y) + 3*r(y). Let w(s) = 5*s. Give g(w(a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (697 - 751) + (2 - -56).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqbn when four letters picked without replacement from bnbybjbyyqnnn.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) - sqrt(100))\/sqrt(5) + -1 + sqrt(180))**2.\nAnswer: -10*sqrt(5) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11022110200212 (base 3) to base 4.\nAnswer: -20233230011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41\/6 - 14. Find the common denominator of -67\/6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 89. Let y be (-34)\/85 + 397\/5. Let u = y - n. Solve u*p + 5*h = 0, -3*h = 3*p - h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 896\/2598 - (4 - (-44)\/(-12)). Let z = 15100\/4763 + l. What is the common denominator of z and -33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5464986.\nAnswer: 2, 3, 271, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22033 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*r**3 + 15*r**3 - 74*r**3.\nAnswer: -103*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 + 38*y + 120. Let q be v(-3). Let b(s) = 2 - q*s**3 + s + 25*s**3 + 5*s**3. Determine b(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1287 + 638 - 122*t + 649 as b + v*t and give v.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4 = 2*w, 5*w + 23 = 2*y - 9. Let o(b) be the second derivative of -7\/2*b**2 - 7\/6*b**3 + 0 - 7*b + 1\/12*b**4. Determine o(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 139588*y**3 + 390160*y wrt y.\nAnswer: 837528*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 108927628, 108927627, 108927626, 108927625?\n\"Answer: -h + 108927629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-33)\/(-6))\/((-2)\/(-4)). Let y = 8 - k. Let x be 12\/9*(-2)\/28. Which is the third biggest value? (a) x (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 702, 1477, 2252, 3027, 3802, 4577?\n\"Answer: 775*v - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**4\/2 - 4*r**3\/3 + 2*r - 2. Suppose 4*l + 21 = 3*d, -5*l - 4*d - 21 = -6*d. Is p(l) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 47, 184, 421, 764, 1219, 1792, 2489, 3316?\n\"Answer: w**3 + 44*w**2 - 2*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z. Let r be x(11). Let y be (5 + 1045)*r\/(-6). Round y to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98894011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 8. Let g = 26.6 + y. What is the fourth biggest value in -4, -1, 0.4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in ninety-seven halves of a litre?\nAnswer: 48500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -5466 and -5613 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374131 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3716616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008518 rounded to 6 decimal places?\nAnswer: -0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(425) + (sqrt(425) + 2 - sqrt(425))*6 + -1))**2.\nAnswer: 110*sqrt(17) + 546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 12:52 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 4 (c) -229 (d) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70075*i**2 - 140146*i**2 + 70088*i**2.\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.5487887 to one dp.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32.263 + 32.1. Round b to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*f + 315 - 173 = 178*f. Factor -9\/5*o - 3\/5*o**f + 12\/5.\nAnswer: -3*(o - 1)*(o + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*d - 32 = 0, 2*k - 2*d - 3*d - 6 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**4\/6 - x. Let p(m) = -9*m - 4*m + 12*m. What is p(l(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttttttgtgttttt. What is prob of sequence tg?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67.46 + -1.46. Let a = v - 65.8. What is the third smallest value in a, -3, -2\/15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = -4*z. Suppose -z*p = p. Suppose p*i + 2*i - 122 = 0. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**3\/(((p\/(p*p\/(p**(-1\/3)\/p))*p)\/p)\/p))\/(p\/p**(-1\/3))**(-39))**13 assuming p is positive.\nAnswer: p**(2275\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2090962090.\nAnswer: 2, 5, 7, 17, 31, 56681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 106539353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2473311 and 3.\nAnswer: 2473311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ad - 2?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*k = -4, -5*h + 6 = -k - 7. Suppose -5*z + 45 = 4*i, -h*i + z + 2 = -3. Solve -i - 3 = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -263 - -270 - (3 + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 9*u - 42. Let g be o(7). Solve 0 = w - 3 - 2, 0 = b - 5*w + g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 = 2. Let w be 5 - (v + (-2)\/(-2)). Let r = -10 - -15. Is w equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.02, 0.5, 2\/7, 0.3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 261768.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.77 + 1.07. Let l = 10.6782 + q. Round l to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-1 - (3 - 9)) + 2 + (9 - 54)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -54 + 74. Calculate the least common multiple of 12 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/10, 36549, -21?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + -6*sqrt(1872))**2*-5.\nAnswer: -318500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 13*q**7\/70 + 27*q**4\/8 + 48*q**2. Find the second derivative of t(v) wrt v.\nAnswer: 468*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*w + 57 = -41*w. Calculate the remainder when 94 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 - 12597*w + 88326.\nAnswer: -3*(w - 7)*(w + 4206)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**4\/9 - 3128*u**3\/9 - 1301672*u**2\/9 - 6831552*u - 85857408 = 0.\nAnswer: -756, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173842, 347689, 521536?\nAnswer: 695383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 1196 - 1064 = 0. Let o = i - 218. Calculate the greatest common factor of 26 and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-64)*(-36800)\/690\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7}. What is prob of sequence nn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -17*a + 89. Let z be o(5). Solve -2*x = -8*v + 3*v - 18, -3*v = -z*x + 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 27, 58, 101, 156, 223?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-12)*(28 - 18)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 17*q - 42. Calculate x(15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/15)\/((-3144)\/4585 + (-8)\/(-420)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 45370521.\nAnswer: 5\/45370521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 197 = -103. Suppose 0 = 3*c - 6, 15*l + 5*c + w = 16*l. Is 52 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 3 - (1 - (1 + 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 18 = 0, -52*h = -53*h + 2*w + 4255. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -580 - -6721?\nAnswer: 6131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10030675163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 43*i**3 + 4*i**2 + 12*i - 1. Let m(h) = -h**2 - 4*h - 2. Let r(v) = -f(v) - 3*m(v). Let q(k) = 14*k**3 - 2. Give 7*q(y) + 2*r(y).\nAnswer: 12*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 13915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -47*h**6\/3 + 55*h**2\/2 - 44. Find the second derivative of d(c) wrt c.\nAnswer: -1880*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 7*b**2 + 8*b - 9. Let k be d(6). Let g(y) = 2*y + 2*y - k + 3 - 3. Suppose 8 = 4*n - 0. Calculate g(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 14 + 1. Solve -2*m + v = 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 6*q**2 + q + 6. Let x be w(-6). Suppose -2*g + 20 = -0*g. Suppose 2 = 4*m - 2*z - 6, 5*z - 32 = -3*m. Solve x = -2*c + m*c - g for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4789 - -256. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -143, -361, -579, -797?\n\"Answer: -218*j + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 0.06 (c) -2\/5 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3227 a factor of 1801368280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/(273\/(-357)) - -1004. Suppose 2*g = 47 - 5. What is the greatest common factor of g and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -5, -14.305, 9\/11?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 7, 36, 99, 208?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1617930 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 2*c + 1. Let n be s(-1). Suppose n = -0*g - g + 2. Suppose 3*p + 4*k + 9 = 0, 0 = -5*p + 5*k + 18 + g. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-20) - 144\/20 - -1618 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12329 + 23402. Is u*((-33)\/9)\/(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.13976 and 3.\nAnswer: -0.41928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 54\/7 (b) 1\/7 (c) 4 (d) -3\/5 (e) 1 (f) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 5, -1, -5 in descending order.\nAnswer: 5, 2, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 10*d**2 + 5040*d - 1137391. Calculate l(169).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 - (-1 - -6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 324*f**2 - 1310*f + 733. What is k(-328)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 132713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 20*x**3 - 12*x - 12. Let o(u) = -71*u**3 + u - 6366 + 70*u**3 + 6367. Give 2*c(t) + 24*o(t).\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 take away 0.173086?\nAnswer: 2.026914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9067.675 years?\nAnswer: 906.7675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4902885 to the power of 1\/2, to the nearest integer?\nAnswer: 2214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58845?\nAnswer: 3, 5, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2 + 1. Suppose -a + 0 = -2. Suppose 0 = -i + a. Calculate the remainder when x is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9482 is divided by 1571.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*v**2 - 11*v + 11*v)*((4*v - 2*v - v)*(0 + 1 + 0) - 3 + 3 - 2*v - 3*v + 3*v - v - 3*v + v + 0*v).\nAnswer: -88*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1.821995m?\nAnswer: 1821995000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 1. Let y(r) = 3*r + 4. Let w(v) = 1. Let u(t) = -w(t) + y(t). Suppose 7*q - 4 = 11*q. Let x be (-4)\/3*(-3)\/2. What is q*u(g) + x*s(g)?\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**2 - h**3 + 0*h**2 - 3*h**2 - 4 + 6*h. Let q be x(-7). What is the smallest common multiple of 14 and q\/(-2)*(0 - 4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(24\/46)*4. Suppose -c = -2*k + 3*l, -5*l + 1 = 26. Let n = 67 - 62. Solve -5*a - k*z = -5 - 0, n*z = -25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13829160.7 to the nearest one thousand.\nAnswer: -13829000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgrgrggg. What is prob of picking 2 g and 1 r?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = s - 5*o - 17, o - 8 = -4*s. Suppose -78 = -3*h - s. Let w = h + -4. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10347, 20756, 31169, 41586, 52007, 62432?\n\"Answer: 2*c**2 + 10403*c - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*l, 2*l = 5*w + 7*l - 60. Calculate the remainder when 26 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*m - 5*x, -5*m - 2*x = -10*m + 29. Let y = m + -8. Let u be 5 + 2\/(y - -1). Solve -2*v + 2*l = -6, u*l = -v + 3*v - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (5 - 22 - -11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -963*b**4 + 7887*b**3 + b**2 - 2323905.\nAnswer: -23112*b + 47322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 99269.57 minutes?\nAnswer: 5956174.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 6*b - 37. Let o be u(7). Solve n - 6*n - o = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.315 + 5.315. Which is the closest to 6? (a) -5 (b) q (c) 4\/7 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278066 - 217732 = 9536*y + 314762 for y.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = c - 2*c. Suppose -c + 2 = -k. Put -7, k, -5 in descending order.\nAnswer: k, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607595 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/3 + -3)\/1. Suppose n = 5*c, -c = -2*w + c. Suppose w*r + 165 = 5*r. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4534 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -461\/9 + 51. Let r = 2.4 - 2. Put d, -5, r in ascending order.\nAnswer: -5, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 38501045 and -1.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53060868 divided by 1673.\nAnswer: 31716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -19977 divided by -18\nAnswer: 6659\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 7:07 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*n + 1035 - 1537 + 3570 = -3328 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-five halves of a century?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 383432 - 1917164\/5. Let f be (2\/(-28))\/(1\/6). Let m = 0.7 + -3.7. Which is the nearest to -1? (a) f (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3230 is divided by 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*m**2 + 10*m**2 - 85 - 2*m - 84 + 171 in the form w*m + v + h*m**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -7216528\/7 equal to -1030934?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(12\/5)*b**(1\/28) assuming b is positive.\nAnswer: b**(341\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/242 and -53\/242?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3233b (base 15) in base 16?\nAnswer: 26e7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103932197 is divided by 28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.051, -2\/11, 1\/5, -4\/3, -6, -193?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10004301 (base 8) to base 3\nAnswer: 10221122211022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/274 and 48\/1507?\nAnswer: 3014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 357187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvtvvtveovtovotttv. What is prob of picking 1 o and 1 v?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1093 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 2*b)*(-334 + 181 + 240) to a*b + t and give a.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3474 take away -5?\nAnswer: -3469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**2 + 2*f - 2. Let l(s) = s**3 + 6*s**2 - 5*s + 5. Determine 2*l(v) + 5*q(v).\nAnswer: 2*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 7. Let x be (-92)\/(-20) - (-4)\/n. Suppose -2*a + m + 77 = 0, 3*m - 90 - 39 = -3*a. What is the greatest common divisor of x and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1210*a**3*m - 5539*a**2*m - 3926150*a*m - m wrt a.\nAnswer: -7260*a*m - 11078*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1997 - -1995. Is l less than or equal to -35\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21532*i*j - 108710*i - 8*j wrt j?\nAnswer: -21532*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -v + 7, -17 = -x + 4*v. Calculate the highest common factor of 273 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(1\/((-6)\/9)). Let 4*y - i*y**2 + 6*y**2 + 2*y**2 = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 9. Let d = -4 + u. Which is the closest to d? (a) 1 (b) 2 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 0 - (16 - (8 - -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 545 + -13274?\nAnswer: -12527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -498 + -4?\nAnswer: -4a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2\/69 (c) 5\/4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**8\/560 - s**6\/120 - 2*s**3\/3 - 3. Let r(z) be the third derivative of q(z). Find the third derivative of r(y) wrt y.\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 60 = 9*i. What is the remainder when i is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l**2 + 21*l + 3. Let o(a) = -2*a**2 - 7*a - 1. Let s(z) = -7*o(z) - 2*r(z). Let m be s(-5). Suppose m + 30 = 2*v. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + g**2 - 37*g**3.\nAnswer: -37*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2257731394 minus 3.563?\nAnswer: -2257731397.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 - 85933*h - 859355\/2.\nAnswer: (h - 171871)*(h + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/440912 and 62\/8105.\nAnswer: 2204560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one twentieth of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/7)*h**(-5)*(h*h\/h**0)**(-2\/163))**(-5\/17) assuming h is positive.\nAnswer: h**(23775\/19397)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16786 + -16681. Calculate the smallest common multiple of 17 and f.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**11*v*v*v**(1\/3) assuming v is positive.\nAnswer: v**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -829281, -1658557, -2487833, -3317109, -4146385?\n\"Answer: -829276*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.530417us in seconds?\nAnswer: 0.000000530417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 8. Suppose -t*n + 0*n = -16. Suppose n*x - 1384 = -92. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(4\/7)*m*m\/m**(-5\/6))\/((m\/(m\/m**(-16)))\/(m\/(m\/((m**(-1\/4)\/m)\/m)))) assuming m is positive.\nAnswer: m**(1525\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 20*p - 23. Let z be a(17). Let v = z + -217. Sort 1, v, 5, 0 in decreasing order.\nAnswer: 5, 1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28411.637 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 2*x - 6. Let b be r(6). What is the remainder when (-4)\/b - 562\/(-18) is divided by (9 - 8)\/(2\/22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -86, -96?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.056 times 0.113?\nAnswer: 0.006328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -13863551 = -152499062\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.1 - -0.1. Let v = z + 2. Let w = -0.21 + 0.01. What is the biggest value in 2\/9, v, w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48861562 to the power of 1\/3, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 113568 a multiple of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-312)\/117*(-6)\/4. Let f(s) = -s**2 + 4*s + 3. Let g(a) = -2*a - 3 + 3*a + 4. Suppose -4*q + 0*q = 4. Give b*g(k) + q*f(k).\nAnswer: k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a - 10. What is the remainder when 49 is divided by x(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (-7006)\/5) + (-5)\/25 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 + k - 2. Let h be i(0). Which is bigger: -1\/2 or h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1\/47508 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 4:34 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3\/4, 3, -5, -284, 0.2 in descending order.\nAnswer: 3, 3\/4, 0.4, 0.2, -5, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*o**5 - 92438*o**4 - 2404402*o**3\/3 - 5210270*o**2\/3 = 0. Calculate o.\nAnswer: -13\/3, 0, 15415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -5\/2*i**2 - 4*i + 0 + 1\/12*i**4 + 1\/3*i**3. What is u(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-408)\/459*1350\/39000.\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 29758197?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/9, 100\/13, 0.051, 1, 0.3 in decreasing order.\nAnswer: 100\/13, 1, 0.3, 2\/9, 0.051, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*k - 40, 2*k + 92 = -2*v - 2*v. What is the common denominator of ((-103)\/v + -4)*-68 and 34\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 5. Let o(d) = d**2 + 3*d - 6. Let y be o(-7). Suppose -5 = -m - y. Let z be i(m). Solve -z - 8 = 5*u, g + 3*u + 17 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/36*1 - 2\/(-6). Is 3 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/162)\/(42\/63)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, 0, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 131105*z.\nAnswer: -z*(z - 131105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -110 + 23 - 39 - -66.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52063654 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**5\/3 + 6*n**4 + 17*n**3 - 182*n**2\/3 = 0.\nAnswer: -13, -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 854126847?\nAnswer: 3, 7, 13557569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 20575*t**2 - 4*t + 2. Is x(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10262759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2578*w**2\/3 - 5132*w\/9 + 16\/9 = 0. What is w?\nAnswer: -2\/3, 4\/1289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -1\/1260*q**7 + 0 - 1\/72*q**5 - 1\/180*q**6 - 1\/72*q**4 + 0*q**3 + q - 6*q**2. Let s(g) = 0. Calculate g.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6506 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(132))\/sqrt(4))\/(sqrt(22)\/(sqrt(2) + (sqrt(10)\/sqrt(5) - sqrt(2)))) + (-5 + sqrt(12)\/sqrt(4) + ((sqrt(15)*5)\/sqrt(5) - sqrt(3)))**2.\nAnswer: -51*sqrt(3) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 4*y. Let z be (-15)\/(-60) + (-227)\/(-4). Let h(g) = z + 2*g**2 - 9*g - 57. Suppose 2*r + r + m = 10, -4*r + 5*m = -7. What is r*h(w) - 7*v(w)?\nAnswer: -w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * -1.098.\nAnswer: 20.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h + 10. Determine m(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p + 0*p**5 + p**5 + 0*p**5 + (-2*p**4 - 3*p**4 + 3*p**4)*(-4*p - 2*p + 5*p).\nAnswer: 3*p**5 + 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 - 23*k**2 - 6*k + 304. Calculate j(-9).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -111001110011?\nAnswer: -111001110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccfccccccc. Give prob of picking 1 c and 1 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-5)*(8000\/30)\/40.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2642\/437 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbbf when four letters picked without replacement from fbggbfgffgggf.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 112 = -3*x + x, -4*x - 2*m = 192. Suppose -2*d + 3*n = -7*d - 7661, 5*d + 2*n + 7659 = 0. Let b = x - d. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 5 = -17*z. Solve 4*t + 4 = y, -y = -t + 4*y - z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 3)*(2*x**3 + 14*x - 14*x).\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 644 = 2*i - 1076. Let p = -331 + i. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4019796, 4019797, 4019798, 4019799, 4019800?\n\"Answer: y + 4019795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1373.4202 + -1373. Let a = -74.3 + 73.88. Let j = v + a. What is j rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4620 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**4\/3 - 676*q**3\/3 - 57122*q**2 - 3*q + 148. Factor y(d).\nAnswer: -4*(d + 169)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3240 and 240?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -2\/7 (c) 1\/4 (d) 0.1 (e) 0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/69, 5, 77\/6, -8, -3 in descending order.\nAnswer: 77\/6, 5, -2\/69, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.48 (b) 630 (c) 0.4 (d) 0.5 (e) -2\/5 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -c + x + 31, 5*x = 25. Let o(z) = -z**3 + 5*z**2 + 10*z - 9. Calculate o(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.019 + 2.019. Do t and 0.1863 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 74. Let w(k) = 45*k + 36 - 36 - 54*k. Determine c(w(m)).\nAnswer: -9*m - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/3 - 14*a**3\/3 - 98*a**2\/3 + 110*a\/3.\nAnswer: 2*a*(a - 11)*(a - 1)*(a + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 2) + 1*5. Suppose d + 2 = t. Let i(j) = -j. Let f(o) = 2*o**2 + 2*o + 2. Calculate d*f(z) + i(z).\nAnswer: 2*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 + -2.06. Let p be (3\/24)\/(8\/48). What is the biggest value in -2\/7, y, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mffm when four letters picked without replacement from {f: 11, m: 5}.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.97432 - 410745.97432. Let f = u - -410814.0022. Let l = 72 - f. Round l to 4 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -435*r - 3042. Let p be y(-7). Solve -3*l + p - 3 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14086057 times 0.4?\nAnswer: 5634422.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-596)\/74 + (-510)\/(-9435). Sort -0.07, -0.04, v in increasing order.\nAnswer: v, -0.07, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 236, 395, 592, 827?\n\"Answer: 19*i**2 + 102*i + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7*k**3 - 285*k**2 - 6321*k + 21611. Let t(s) = 2*s**3 - 1. Let p(m) = 2*t(m) + z(m). Factor p(r).\nAnswer: -3*(r - 3)*(r + 49)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in -1, -257, 3\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -21\/2 (b) 2 (c) 18 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*b + 6*b + 24. What is the third derivative of -32*p**2 - 72*p**3 + 33*p**3 + 39*p**3 - 80*p**b wrt p?\nAnswer: -1920*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzzzlzzlzzzzlzz?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 18*g**2 + 16*g + 17. Let f be i(17). Let s(a) be the third derivative of f*a - 2*a**2 + 0 - 1\/4*a**4 - 1\/30*a**5 - 2\/3*a**3. Factor s(w).\nAnswer: -2*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -243*w**2*z - 9*w*z**2 + 55*z**2 + 28*z wrt w?\nAnswer: -486*w*z - 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.26 not equal to -3.364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86695, -173427, -260161, -346897?\nAnswer: -433635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 2*q. List the prime factors of p(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-32)\/p**(23\/3)*((p\/p**34)\/p)**(-31) assuming p is positive.\nAnswer: p**(3043\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2, -r = -2*r - d - 4. Let w be r\/8 + 2\/8. Is 9 a factor of 40\/6*(3 + w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 906*x - 388. What is the tens digit of a(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 + 2210*r**2 - 43795*r.\nAnswer: 5*r*(r - 19)*(r + 461)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2123.0886 to the nearest integer.\nAnswer: 2123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from ggggtggg?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 8*q - q - 3*q - 18. Let y be m(6). Factor -5*d**2 - 3 - 7*d**3 + 4*d**2 + 5*d + y*d**3.\nAnswer: -(d - 1)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**4\/12 + 4067*f**3\/3 + 16540489*f**2\/2 - f - 7638. Factor q(r).\nAnswer: (r + 4067)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 - 7)*(19 + 3 - 4)*(3*z**3 - 2*z**2 + 2*z**2 + (-2*z**3 + 4*z**3 - 4*z**3)*(-3 + 5 + 1) + 0*z**3 - 3*z**3 + 2*z**3).\nAnswer: 648*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*c**4\/3 + 4996*c**3\/3 + 51508*c**2\/3 + 69692*c\/3 - 8232 = 0 for c.\nAnswer: -7, -2, 9\/31, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 831*r**2 - 1258*r**2 + 215*r**2 + 236*r**2.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 divided by -3?\nAnswer: 184\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -0.1 (c) -6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58634616 to the nearest integer?\nAnswer: 7657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - 10*n - 256. Let t be g(-11). Solve -t = 30*b + 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 2.94664.\nAnswer: 3.34664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -181.49966 rounded to two decimal places?\nAnswer: -181.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 5*y - 80. Let a(w) = -w**2 + 6*w + 6. Let o be a(-6). Let r = y - o. Calculate the remainder when r is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 1\/3*31287 - (-15)\/(195\/(-26))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 10000011010?\nAnswer: -10000100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 351.12011 and 8124147.\nAnswer: 8124498.12011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(12 + 4)*-284. Suppose -3*a = -c + 5. Solve 2*k + 14 = -2*b + 4*b, a = -k + 4*b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + o**2 - o. Let h(y) = -2*y**3 + 9*y**2 + 7*y + 9. Let x(q) = h(q) - m(q). What are the prime factors of x(7)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 - 6*k**2 - 60*k + 278. Give g(4).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 252302 - -330?\nAnswer: 253032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + 106*k - 210*k + 101*k)*(4*k**2 - 3*k**2 + k**2) + k**3 + 0*k**2 + 0*k**2 to the form q + s*k**3 + n*k**2 + i*k and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - 3*i**2 + 6*i**2)*(-48*i**2 + 48*i**2 - 3*i**3) + (0*i**3 + 3*i**3 - 2*i**3)*(0*i**2 + i**2 + 0*i + 2*i).\nAnswer: -5*i**5 + 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 10:25 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 223730 (base 9) in base 6?\nAnswer: 2512213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2 = -2*i, -3*r - 3 = 4*i + 3. What is the third derivative of 2 - 2 + 35*g**3 + 21*g**2 - 27*g**r wrt g?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1395*w + 1158. Does 24 divide f(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/16 or -17\/5?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21509 is divided by 247?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = h + i, h = 4*h + 2*i - 64. Let y be (-6)\/(-33) + 1580\/h. Suppose p + y = 2*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 8. Let g = -7.4 - -7. Let h = -0.02 + 0.42. Which is the closest to g? (a) q (b) -1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11777 not equal to -11777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -516 (base 12) in base 11?\nAnswer: -611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 29 = 3*q, -5*r = -5*q - 0*r - 10. Suppose -n - 163 = -k - q*n, 4*k = 4*n + 628. List the prime factors of k.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, x: 3}. Give prob of picking 2 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -134, -5, 3, -282 in decreasing order.\nAnswer: 3, -5, -134, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a5 (base 11) to base 10.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -1\/10*w**5 - 26*w + 0*w**3 - 2\/105*w**6 - 3\/14*w**4 - 1\/735*w**7 - w**2 + 0. What is r in l(r) = 0?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -11*f**3. Let v be r(1). Let l = 19 - v. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1320, 1992, 2664?\n\"Answer: 672*f + 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -275 (base 10) to base 13.\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b + 25*b - 110*b - 250*b)*(2*b + 0*b + 0*b)*(-12 + 12 - b**2) to the form l + y*b**3 + w*b**2 + f*b + z*b**4 and give z.\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-2*b + 0 + 0) + 38*b - 9*b + 24*b + (5 - 5 + 1)*(2*b + 3 - 3).\nAnswer: 53*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3947997 * 0.025\nAnswer: -98699.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 6*c - 7. Suppose 3*y + 5*d + 1 = -3, 0 = -3*y + d + 26. Let i be b(y). Suppose -3*r - r + 44 = i. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, 22, 39, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28628044?\nAnswer: 2, 7157011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2\/11 - 1286*p\/11 - 411145\/11 = 0. Calculate p.\nAnswer: -691, -595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302112200 (base 4) in base 13?\nAnswer: 135267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 5*a**7\/273 - 19*a**6\/65 - 19*a**5\/65 + 4*a**4\/13 - 168*a. Determine x, given that n(x) = 0.\nAnswer: -1, 0, 2\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 5:54 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -9*p + 8. Let z be o(-7). Suppose -5*l + z - 11 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -0.4, 5, -3557, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 13.216, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -51 (c) -4 (d) -37 (e) 1\/2 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 a when two letters picked without replacement from {v: 1, h: 3, a: 2, n: 1, o: 1, p: 4}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 6. Let g = 0.9 - -0.9. Let j = g + 0.2. Which is the closest to r? (a) -0.5 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*m - 18*m - 20*m - 70*m + (-4*m + 0*m + 3*m)*(-1 + 13 + 2).\nAnswer: -129*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/1)\/((-30)\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 2*i**3 + 3*i - 3 - 6*i**2 + 0*i. Let z = 17 + -11. Is t(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1159.\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 0*s**3 - 10 + 7*s**2 + 2*s**3 + 3*s**3 - 6*s**3 + 10*s. Let w be (-4)\/(-8) - (-15)\/10. Suppose 0 = -8*x + w*x + 48. Give d(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -6*g + 2*g + 5*b, -3*g = 2*b + 9. Let q = 1 + g. Let z be -3 + q\/(-2) - -35. Calculate the highest common factor of z and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170352516 to the power of 1\/2, to the nearest integer?\nAnswer: 13052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 11 + 3 + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -39678174 divided by -10649\nAnswer: 3726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321209641?\nAnswer: 321209641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-175)\/(-2)*((-84)\/(-49))\/1 and 20?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m - 16. Let d(t) = -731*t**2. Calculate y(d(o)).\nAnswer: -3655*o**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -307885, -307976, -308223, -308704, -309497?\n\"Answer: -13*n**3 - 307872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14015.\nAnswer: 5, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-21)*70\/(-15). Let p be 2581\/116 - (-1 - 5\/d). Solve q - 5*o = p, -5*q + 5*o = -5 - 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + l + 5*x - 29 = 0, -3*l + x = -1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 4 = w, -3*w + 3 + 5 = 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 4*b - 3*f, -2*b - 60 = -7*b - 5*f. Let s = 119 - 87. Let t = 68 - s. What is the lowest common multiple of t and b?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 0 + 5 + 102 + -68 - (0 - 9).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2517*u - 4901. Calculate the lowest common multiple of r(3) and 1590.\nAnswer: 7950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 1. Let h be g(5). Let v be (h\/(-4))\/(12\/(-16)). Let b(w) = -v*w + 2*w + w. Let s(r) = -3*r. Give s(b(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/61, -3, 0.5, -0.06 in increasing order.\nAnswer: -3, -0.06, 3\/61, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 201211101 (base 3) in base 5?\nAnswer: 430310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35930 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (90\/210)\/(2\/14) + 3. Solve -42*c + p = -39*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -25766776.1 to the nearest 1000.\nAnswer: -25767000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4747669*p**6 + 28*p**2 + 18*p + 4155.\nAnswer: 569720280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -340.\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/6 + k**2\/3 + 13*k\/6 + 5\/3.\nAnswer: -(k - 5)*(k + 1)*(k + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.46 + 9.26. Which is the closest to 1? (a) g (b) -3\/7 (c) -1\/2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, m: 14}. What is prob of picking 2 m and 2 a?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 7 + (-28 - -16 - 20) + 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 161198*x - 27947*x.\nAnswer: 133251*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o - 7. Let m(c) = 2*c + 6. Let x(d) = -3*m(d) - 2*p(d). Let k be x(-2). Solve k*y - 3*y = -6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23.8 - 36. Let u = -14 - t. Let i = -1.4 - u. Which is the closest to 1? (a) i (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6479bd (base 14) to base 11.\nAnswer: 1a13868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -17. Suppose 81 = 3*d - 3*i, 3*d - r*i + 9 = 4*d. Let f = -17 + d. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46803031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-423)\/94*20\/(-18)*(-3)\/((-45)\/87).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 17849 - 14098 = -k, 2*u = 4*k - 12786. Let r = u + 9128. Let a = 30089\/11 - r. Find the common denominator of a and 95\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**2\/2 + 13*w + 13. Let j(v) = -2*v. Calculate y(j(g)).\nAnswer: -2*g + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -13, 44 in decreasing order.\nAnswer: 44, 5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0*v)\/(v\/(v*v*v**2\/v*v*v)))**9 assuming v is positive.\nAnswer: v**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -14*a - 81. Determine r(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = -19436 - 87854. Suppose -42*j + 58865 = -l. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a microsecond in nanoseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h - 28 + 44. Let g be (-3839)\/(-22) - 1\/2. Suppose -h*l = -4*l + g. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -1. Which is the second biggest value? (a) f (b) -1\/8 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 + 4 = 0. Let d(b) = -3*b - b**2 + s*b. Let g(o) = -36 + 36 + 2*o**2. Calculate g(d(k)).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**4\/b)\/b**(1\/19)*(b\/b**(-1))**(13\/4))**(-28) assuming b is positive.\nAnswer: b**(-5026\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7671772.\nAnswer: 2, 1917943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 2 - 7*m + 10*m + 5.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b**3 + 768*b + 9*b**3 - 768*b.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 502823*d**3 + 3938463 wrt d.\nAnswer: 1508469*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 - 0.25. Let x = 12 - 13. Which is the closest to x? (a) 0.3 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(847)*3 + sqrt(847).\nAnswer: 209*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 118, -2\/5, 0, 3, -4, 38.8 in decreasing order.\nAnswer: 118, 38.8, 3, 0, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 304487616 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2998925 by -695.\nAnswer: -4315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*w**5 + 7552*w**4 - 10439*w**2 - 3*w + 2?\nAnswer: 3300*w**2 + 181248*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 21559229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 426 + -429.01. Let w = y + 0.01. Suppose -2*i = 5*h + 2, 0*h + 1 = -i + 2*h. What is the second smallest value in w, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-15)\/(-282)))\/((-242)\/(-22)*16\/(-440)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 387, 598, 815, 1038, 1267?\nAnswer: 1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -809 - -814. Suppose 0 = -b*w + 2299 + 3791. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 10. Suppose -i*g - 158 = -2*f, -4*f + f + 257 = 4*g. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7811056083 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 8756*h - 8 + 27 + 5865*h - 19 as f*h + t and give f.\nAnswer: 14621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 635 = -5*m + 8*m, -m + 201 = -5*o. What is the greatest common factor of m and 6541?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38.46 - 2052.54. Let i = q - -2113.93. Let w = -23 + i. Which is the nearest to w? (a) 1 (b) 2\/9 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -1747*l**6\/10 + 2059*l**2\/2 - 457*l - 2. What is the first derivative of h(n) wrt n?\nAnswer: -20964*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(0 - (-1)\/(-5)). Let v = x - -59\/4. Let z be (-4)\/6*(-27)\/(-18). Is z at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*n + 79 = 0, 8 + 35 = 2*q - n. Suppose q = 2*i - 27. Suppose 4*s - i = s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvgggvvvvvjvvvjv. Give prob of picking 2 v.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**5\/60 + 730*o**2 - 4*o. Let q(x) = 62*x**2 - x - 30. Determine q(h(b)).\nAnswer: 62*b**4 + b**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - -13. Let q be 1 - -211 - (-3)\/1. Let z = q - 35. Calculate the greatest common divisor of z and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 49*r**2 + 114*r + 190. What is the first derivative of t(g) wrt g?\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -79, -142, -261, -454, -739, -1134?\nAnswer: -1657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7476 - -82239\/11. What is the nearest to 1 in 1, a, 5, 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 6, 3, -17.009?\nAnswer: -17.009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 + 1643ac4?\nAnswer: 1643ab2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1004 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 7:28 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3*b - 1370, -15 = -2*b - 5. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1232\/((-2 + 18)\/64)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15071879.\nAnswer: 197, 76507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 j, and 1 u when three letters picked without replacement from rjukfkp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 5*r**4\/6 + r**3\/3 - 173*r. Determine x(2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*i**3*x - 12465*i**3 + i**2*x - 10*i**2 - 9024*i*x - 2577*i wrt i?\nAnswer: -54*i*x - 74790*i + 2*x - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17666176 by 11.\nAnswer: 1606016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/1 + -5)*-3. Let n be ((2 - 2) + -10)\/2. Let u be (-45)\/n - (0 - -2). What is the highest common divisor of i and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -352.021812 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 863.4271789\nAnswer: 871.4271789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u**5\/9 + 14*u**4\/9 - 34*u**3\/3 + 34*u**2\/9 + 92*u\/9 - 16\/3 = 0 for u.\nAnswer: -4, -1, 3\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 0.287, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -26. Suppose k*h + 7 = -2*x + 3*h, -3*x = -h - 6. Calculate the least common multiple of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2323\/4646*((-4)\/5)\/(2\/(-16)).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5083 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 79*u**2 - 81*u + 85. Let d be j(80). Solve m + 9 = r, d*r - 27 = m + 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a63 - -4?\nAnswer: 1a67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -65, -100, -137, -176, -217?\n\"Answer: -n**2 - 32*n - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8037, 32093, 72187, 128319, 200489, 288697, 392943?\nAnswer: 513227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88.417 + -88.4. Is 7\/4 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1501 (base 11) to base 2.\nAnswer: 11110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 13. Calculate o(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 5*f - 33, -w - 15 = 2*f - 3. Is 3 a factor of 16\/w*3\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 855392428 divided by 4.\nAnswer: 213848107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3432887 to the power of 1\/2, to the nearest integer?\nAnswer: 1853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 6*h + 4. Suppose 30 = -2*q - 3*q. Let a be p(q). Let k(r) = r**3 - 2*r**2 - 4*r + 4. What is the remainder when 58 is divided by k(a)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l - 25. Calculate d(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**5 - 164*w**4 + 296*w**3 + 632*w**2 - 300*w - 468 = 0 for w.\nAnswer: -1, 1, 3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-210))\/(13\/78)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78787 - 5.\nAnswer: 78782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 948 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1349593 or 241?\nAnswer: 0.1349593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031595 to the power of 1\/2, to the nearest integer?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/5306 and 9\/128275.\nAnswer: 97232450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/4 + (-5)\/(-20). Let i = b + 4. Solve -10 = -2*a - 2*t, i*a + 2*t - 13 = -0*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42763717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b**3 - 15*b**3 - 33*b**3 - 17*b**3.\nAnswer: -44*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31051850359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 8*a + 23 = 3*a, -4*h - 2*a - 2 = 0. Solve -h*l - 4*t + 26 = 0, -18 + 5 = -5*l + 3*t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -203 - -1?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3981760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 3:19 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -14*n**2 - 103*n - 814. What is z(-7)?\nAnswer: -779","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*z - 0*z + 1229, 4916 = 4*i + 4*z. Let m = i - 850. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1 - 11 = 0. Let l be 3\/m + (-119)\/77. Which is the third smallest value? (a) 2\/5 (b) 2\/23 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 - 46798*g + 93594*g - 1 - 46795*g.\nAnswer: g - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*(sqrt(405)*-4)**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s + 154 = 27*s. Solve 4*k + s = c, c - 2 = -2*k + 3*k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15664.\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 306887841 and 24984.\nAnswer: 3123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 14*x - 17. Let d be u(-8). Suppose 0 = 2*f - 5*f + 2*z, -z - 7 = 2*f. Is d equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25\/666 - 111919\/1934730. Calculate the common denominator of 23\/9 and f.\nAnswer: 26145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) - sqrt(176)*-2)\/(sqrt(4) - (sqrt(40)*1 - sqrt(40))\/sqrt(10)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4701953 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*y = 316, 0*d - 2*d - 5*y = -168. Suppose 2*v + d = 680. Suppose z - v = b, -2*z + 0*b + 610 = -b. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5092 and 304.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 + 24*r - 4. What are the prime factors of k(8)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/(-28))\/((-2)\/(-8)). Suppose 4*d = -l + 2, -5*d = n*l - 3*d - 10. Find the third derivative of -10*u**6 + 5*u**2 - 3*u**6 + l*u**6 + u**2 wrt u.\nAnswer: -840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1589*x**2 + 39873*x**2 - 41465*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 220.7 or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2680*g - 13. Let v be a(6). Let d = v - -289795\/18. What is the common denominator of d and -41\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545566 is divided by 3686.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 8*s = -9647. What is s rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8 = -4*h, -4*x + x + 15 = 4*h. Solve -h*s - 2 = -11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2875*v. Let m(k) = -654*k**2. Give d(m(z)).\nAnswer: -1880250*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 352*p**2 - 720*p.\nAnswer: 4*p*(p - 2)*(p + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3*12\/(-8). Let o = -9 + 15. Let y = o + -5. Which is greater: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o**3 - 150*o**2 - 100*o - 2985. Calculate h(-30).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22*a*s**3 + 121*a*s**2 - 3*a*s + 1678069*s**3 wrt a?\nAnswer: -22*s**3 + 121*s**2 - 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -4 - -14 - 13) + -12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -637 + 640. Let a = 8 - 5. Suppose 6*c = a - x. Solve -11 = 4*j + 5*o, -2*o = 4*j - c*o + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3225.428984329 and -492?\nAnswer: 3717.428984329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31.5 + -32. Let h = 173.02 - 173. What is the nearest to 2\/5 in 0.3, h, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -920 - -620. Let l = s - -298. What is the third smallest value in l, 0.17, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 1 (c) 12 (d) 1\/3 (e) 21\/11 (f) 48 (g) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 12 = -13, j - 15 = 2*b. Which is bigger: b or -6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 b, and 1 g when four letters picked without replacement from gfffbgbbbfbbbb?\nAnswer: 96\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2384*q + 18417 = -53103 for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**2 - 8*a**2 + a - 15*a**2. Let i be g(-1). Let n = -6606 - -6611. Sort n, -5, i.\nAnswer: i, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2\/3 (c) 1\/2 (d) -0.1 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 8*t**2 + 1640*t + 25564. Determine b(-188).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3453.49958379 + -3453.5. Round r to 6 decimal places.\nAnswer: -0.000416","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.2 + -3.8. What is a rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42*2\/4*((-144)\/54)\/8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5406?\nAnswer: 2, 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/60)\/(8\/20)*-2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20862173?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -m + 2. Let q = -15 - m. Calculate the remainder when 38 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*k - h - 13, -k = 14*h - 16*h - 68 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egeoog. What is prob of picking 1 e and 1 g?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37141\/110296 + 19\/3244. Find the common denominator of f and -49\/100.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**6\/30 - 3*f**5\/5 - 7*f**4\/3 + 642*f**2. Factor r(c).\nAnswer: -4*c*(c + 2)*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 94.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/4*2\/(-3). Let h = 18 + -34. Let p = 17 + h. Which is the third smallest value? (a) p (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*h**2 + 30*h**2 + 4*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*p - 284*p = 285*p + 518*p + 34584 for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 - (-95)\/20. Let m be -2 - (0 + -7 + 1). Sort k, m, -3 in decreasing order.\nAnswer: k, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 divided by -126\nAnswer: 103\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-1))*g\/g**7)**(-4\/7) assuming g is positive.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70381682?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*(2*sqrt(114)\/(1*sqrt(150)) - -1*-6*sqrt(228)\/(sqrt(12) - sqrt(108))))**2.\nAnswer: 197676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -5 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -q + 1. Let b(o) = -o - 3. What is the units digit of b(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -1 + -1 + (17 - ((11 - -1) + -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67657\/1089 + 559\/9. Which is bigger: -6\/23 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -72\/3149 in 0.3, -0.2, -3\/2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -32. Let s be 6\/y*(-2)\/(-6). Is 0 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1081*m*q**3*s*t**2 + 2*m*q**3*t - 2*m*q*s*t**2 - 13*m*q*t**2 + 3*q**3*t**2 + 12*q**2*t**2 - 2*q + 7 with respect to s.\nAnswer: -1081*m*q**3*t**2 - 2*m*q*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, r: 2}. Give prob of sequence ggrg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-12))\/((-1)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1368*f*m - 474*m wrt f.\nAnswer: 1368*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.277381 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -69 (b) -2\/7 (c) 4\/3 (d) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 0.4, -1\/3, 2, 40304?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 499259 - 2309259. Round p to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514647371?\nAnswer: 7, 97, 233, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15350 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 210012112220 (base 3) to base 10\nAnswer: 417390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3262.\nAnswer: 2, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(147) - 1*sqrt(147)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m + 3. Give c(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 81 = -m + 3*t, 5*m + 3*t = 135. What is the remainder when 105 is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2246422.\nAnswer: 2, 1123211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 23*i**3 + i**2 + 9*i + 4. Let p(s) = 28*s**3 + s**2 + 6*s + 3. Determine 3*k(n) - 4*p(n).\nAnswer: -43*n**3 - n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*i + 4 = -113*i. Let t(a) = 5 + 8*a + 5*a + 8*a - 14*a - i*a. Let g(l) = -5*l - 6. Give 3*g(n) + 4*t(n).\nAnswer: 5*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -5*z - 4*q, 132 = 5*z - z - q. Let t = 84 - -172. Suppose -400 = -6*y - t. What is the greatest common factor of z and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2034 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 72*m. Let p(q) = -2*q + 45. Determine p(f(a)).\nAnswer: -144*a + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h**3*t + 43*h**3 + 3*h**2*t + 1182*t wrt h.\nAnswer: -6*h**2*t + 129*h**2 + 6*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppcrcbp. Give prob of picking 1 b and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*s**3 - 60 + 2*s**4 + 60 + (s**4 - 3*s**4 + s**4)*(-5 + 0 + 3).\nAnswer: 4*s**4 + 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -995314?\nAnswer: -995310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b + 0*b - 9*b.\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 1 + 24 + -29 - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1372 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -42*z - 194. List the prime factors of c(-14).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 5*h + 18 - 53, 18 = 2*f + 4*h. Suppose -f*j + 0*x = 4*x - 15, -x = 5*j - 15. What are the prime factors of (30030\/24)\/11 - j\/4?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcfxxcfcxxxxclcffx. What is prob of sequence cl?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - v - 3 + (4 - 3 + 0)*(0 - 2*v + 0))*(1 - 3 + 0) as j + p*v and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.92168 + -2.98522. What is y rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = -3*a + 2*a + 2*x, 2*x = 4*a - 732. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 14\/21)*(-86856)\/2. Is l\/(-32) + (-27)\/(-12) + -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -8*b + m + 8, 6 = 4*b - m. Let y be (-2 - b) + 4\/2. What is the tens digit of (60\/42)\/(y\/(-14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -264.84386 or 1?\nAnswer: -264.84386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 27216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1911 is divided by 114?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*m - 0*m, -3*m - 12 = 0. Let f(y) = y - 4. Give f(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72 (base 14) to base 4.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18.08 * 3126\nAnswer: 56518.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 11010010001110101011100000?\nAnswer: -11010010001110101011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 11:43 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*-1 + 1 + sqrt(684) + -5 + -5*sqrt(684)*2*-6)**2.\nAnswer: -2880*sqrt(19) + 2462416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -1\/2 (c) 3733 (d) -15 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 10*v - 11*v - 3*r, 2*v - 3*r - 4 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-71 + 64 - (-21 + -17)) + (1 - -8 - -1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 + 0.05. Let k = -61 + 56. Put l, k, 3 in descending order.\nAnswer: 3, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**23)\/(s\/s**(-6)))\/((s**(-2\/29)\/s)\/s)**(-10) assuming s is positive.\nAnswer: s**(-78\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152292.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/11 - 72302976\/(-6336)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 4*y + 23, -3*x + 14 = -5*x - 4*y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 7 = h + 4*o, -3 = 3*o. Solve 2*b = 2*t - b + h, -3*t - b = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135.662 - 0.338. Let v = h + 83. Let g = 52.9999971 + v. What is g rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6, 48, 118, 216, 342, 496, 678?\n\"Answer: 14*o**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20632.3 and -0.029.\nAnswer: -598.3367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 7:30 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 31 = -5*t + 302, 3*g = 3*t - 201. Let q = -59 + t. What is the remainder when 17 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4697758?\nAnswer: 2, 13, 281, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 = x + 4*x. Suppose -69*k = -x*k + 8. Find the third derivative of 24*z**2 - z**k + 256*z**4 + 0*z**2 - 228*z**4 wrt z.\nAnswer: 672*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12361599 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546242 is divided by 272972.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -54*p + 658. Let t be d(12). Solve -30 = 20*l + t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(8\/3) - 4)\/((-352)\/(-21824)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1. Let n(k) = -k - 7. Let r(o) = -o - 6. Let m be r(-5). Calculate m*n(c) - 5*p(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 2\/253, 0.5, 2, 2\/7 in increasing order.\nAnswer: -2\/5, 2\/253, 2\/7, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/11583 and -74\/195.\nAnswer: 57915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(10\/(-15))\/(-2)*-3*(-16480)\/(-618).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.03333*-45\nAnswer: -1.49985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s. Let h be t(1). Let w(r) = -6*r**3 + 6*r**2 - 5*r + 2. Let g(z) = -7*z**3 + 6*z**2 - 6*z + 3. Let p(d) = h*w(d) + 5*g(d). Calculate p(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 63218 = -1494637. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4 + (-1183)\/(-14). Suppose 5*d + f = 4*d. Let b = -61 - d. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*w = 463, -25 = -4*w - 1. What is the remainder when j is divided by 52?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -13*l**6\/120 - 13*l**4\/24 + 14*l**2. What is the second derivative of z(j) wrt j?\nAnswer: -78*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 1:16 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 955 = -3*v + 952. Let l be ((0 - -4)\/(-4))\/v. Which is the nearest to -0.1? (a) -0.1 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-715)\/(-26)*36\/(-45)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728\/324*((-8)\/40)\/(176\/24 - 7)?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 60\/33 + (-10)\/(-55). Which is the third smallest value? (a) -1 (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41.07 - -0.07. Let v = 1443780 + -1443820.99878. Let f = g - v. What is f rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 3. Let y be k(1). Find the second derivative of -81*s**2 - 7*s**5 - 11*s + 81*s**y - 6*s**5 wrt s.\nAnswer: -260*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28099407.\nAnswer: 3, 7, 163, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -680 = -36*k + 34*k. Suppose 114*f - 119*f = -k. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 15*j = -16. Sort j, -1, -44.\nAnswer: -44, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 3*g - 2, 0 = 1276*a - 1279*a - g - 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 234.7096 - 0.05861.\nAnswer: 234.65099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 6*x**2 + 4*x + 2. Give d(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -86252 not equal to -86245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1061, 1052, 1031, 992, 929, 836?\n\"Answer: -z**3 - 2*z + 1064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -231243403033?\nAnswer: 231243403023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -727a + 9?\nAnswer: -7271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 3. Suppose -4*c + r*c + 56 = 0. Suppose 4*w - y = 66, 4*w + 4*y + 0*y - c = 0. Solve 0*k = 4*k + w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 648 = 4*w, 3*o + 2*w = -3*w + 454. Find c such that 162*c**4 + 4*c**2 + 2*c**3 + 8*c**3 - o*c**4 = 0.\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 15. Let o(l) = l**3 - 19*l**2 + 16*l + 24. Let r be o(18). Let w be p(r). Suppose -w*v = -v - 102. Is v a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398711 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n. Let z(m) = -947*m. Determine g(z(u)).\nAnswer: -3788*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 1372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 420 and 2184.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22421406 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 1.6, 2, 10?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 12*b + 20. Let r be k(9). Let t be (r + 6)\/((-3 - -4)*-1). Solve -13 + t = 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.195 - -2.195. Let l = 593\/5 + -118. What is the second biggest value in l, -1\/6, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 8\/72*18. Let w = -1 + 4. Sort -3, w, x, 2 in descending order.\nAnswer: w, 2, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 599\/3 + -200. What is the fourth biggest value in -0.17, -2, g, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -253125.92 minus 20584?\nAnswer: -273709.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10653 = -17*m + 941. Calculate the smallest common multiple of m and 20.\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l = -33*l + 6. Suppose -u - 543 = -l*u + 2*d, -2*u + 1085 = -3*d. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w - 9. Let f be 3 - (-2 - 1)\/(3\/(-1)). Let t be x(f). Let r be 20*(t + 0 + -4). Solve -3*g = 2*g + r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 20*y**2 - 49*y - 19. Is r(17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17878 divided by 8939?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*o - 20, 0 = 4*o + 3 + 1. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2)*z)**(-9\/14)*(z*z**(-1\/3))\/z**(1\/6) assuming z is positive.\nAnswer: z**(5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74 and 3182?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2001211 (base 3) to base 9.\nAnswer: 2054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6474.078m in micrometers?\nAnswer: 6474078000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/21*1*9*23\/((-690)\/10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**5\/5 - 116*t**4\/5 - 932*t**3\/5 - 524*t**2 - 360*t = 0 for t.\nAnswer: -18, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -244 + 15*n**2 + 107 + 121 to the form l + d*n + t*n**2 and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1909551, 3819069, 5728587, 7638105, 9547623, 11457141?\n\"Answer: 1909518*d + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 0*c + 6*c + 0*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - z = -35, 0 = -3*r - 41*z + 36*z - 46 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 58*x - 17. What are the prime factors of m(3)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 17 = -12*d + 32. Let f(x) = -x**3 - 2*x**2 + 2*x - 1. Let w be f(1). Sort 5, w, d, -5 in decreasing order.\nAnswer: 5, d, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54.142 - -0.142. Let p = -0.189372 - 53.826128. Let d = i - p. What is d rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5133 divide 2457541809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -1 + -3 - (sqrt(117) - (-3 + -1*sqrt(117)))**2) + 2.\nAnswer: -479 - 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14215?\nAnswer: 5, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -152 + 161.3. Let o = k - 10. Let g = -0.700003 - o. Round g to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = o, m + 3*o - 10 = -4*m. Suppose -u + 5*p = 17, 4*u - 4*p - 1 + m = 0. Suppose -2*t + u = -3*t. Let r(g) = -g**3 - 3*g**2 - g - 3. Give r(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**2 + 57*j - 244. Let i be k(11). Solve -23*o + 8 = -i*o - 2*s, 5*o = -5*s - 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 2*h - 54, 5*f - 2*h - 52 = -3*h. Calculate the highest common divisor of 20 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40781127 to the nearest integer?\nAnswer: 6386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w**3 - 22*w**2 + w - 8. Let l(d) = 2*d**3 + 7*d**2 + 3. Give 8*l(r) + 3*p(r).\nAnswer: -2*r**3 - 10*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2674.207, 0, -0.2 in descending order.\nAnswer: 2674.207, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h. Let w = 15 + -15. Let o(k) = 7*k + w*k - k - 7*k. Calculate o(b(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 10, v: 4}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f. Let v(y) = -16*y. Let l(r) = -10*t(r) - 3*v(r). Let z(k) = -27*k**2. Give l(z(h)).\nAnswer: 54*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 5*p + 7. Let j = 94 - 99. What is g(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -11*a**2 - 3*a + 7. Let r(i) = 17*i**2 + 5*i - 11. Let x = -315 + 323. Calculate x*u(t) + 5*r(t).\nAnswer: -3*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174 and 12503031?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.2 - 10.8. Which is the nearest to -0.1? (a) -1 (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.6429 (c) 2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-12) - (-9)\/(-27)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c**4 - 2*c**4 + c**4 - 4*c**4 + 2*c**4 + 4*c**4 - c**4 + 3*c**4 - c**4 + (-4*c**3 + 3*c**3 - c**3)*(-2*c - c + 5*c))*(3*c - 2 + 2).\nAnswer: 12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 835654881 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 331769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 562 + -559. Let s be 1*0\/((t - 6) + 1). Let b(q) = -13*q**2 + 13*q + 109. Let m(p) = 3*p**2 - 3*p - 27. Let x(j) = -2*b(j) - 9*m(j). What is x(s)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -97 in -4, 30\/7, -1\/6, -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 9*a**2 - 26*a - 481. What is the thousands digit of f(39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3650.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -717.28 + 716. Let h = t - -1.78. Which is the nearest to 2\/11? (a) 5 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uw when two letters picked without replacement from uurwlwzrwur?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 14*m**2 + 11*m - 4. Let k be f(-15). Let d = k + -56. Suppose y - 239 + 95 = d. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 2*f = -3, -7*f = 2*w - 5*f - 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 - 332 + 245 - 336 - 1212 as l + q*i + p*i**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53710 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -230*k**2*l**6 + 3*k**2*l**2 + 38*k**2 + 2*l**6 wrt l.\nAnswer: -27600*k**2*l**3 + 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 160500, 160509, 160524, 160545, 160572, 160605, 160644?\n\"Answer: 3*m**2 + 160497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(990\/(-15)))\/1\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.02329nm in meters?\nAnswer: 0.00000009302329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-23)\/x*x**(-23))**(-3) assuming x is positive.\nAnswer: x**141","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 62 = -2*r. Let x be (-3)\/5 - 406\/(-10). Let f = -29 + x. What is the remainder when r is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 209*z - 160 - 18 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 83 = 86 - 139 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 19 = 5*y. Solve y*l + 10 = 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9424474019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 205*f**2 - 114788*f - 6720.\nAnswer: (f - 560)*(205*f + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -7*t**3 - 111*t**2 + 12*t - 53. Calculate u(-16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 + 5*i**2 - 6*i**2 + 5 + (0 - 2*i + 0)*(-5 + 5 + i) + 0*i**2 - 2*i**2 + 0*i**2.\nAnswer: -3*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 308, 610, 912?\n\"Answer: 302*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -720*w + 765*w - 855 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18585 and 590.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -672 - -1268. Let h = 1139 - c. What are the prime factors of h?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 4*z - 3. Let u be w(-3). Let a(p) = -5*p**3 - 3*p + 6*p**3 + 4*p + 24. What are the prime factors of a(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -2824?\nAnswer: 2825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 7:23 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 6 + 3. Suppose 3*i + 1 = -8. Let b(n) = -n**3 - 2*n**2 + 4*n + 2. Let p be b(i). Sort p, -2, a in decreasing order.\nAnswer: p, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -5*n - 2. Let f(m) be the first derivative of 9*m**2\/2 + 3*m - 5498. Calculate 3*f(a) + 5*u(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 2*k - 6*k + (k + 3 - 3)*(-3 + 4 + 0))*(3*k**4 + 3*k**4 - 4*k**4) + (-2 + 2 + 2*k**3)*(6*k**2 - 4*k**2 + 0*k**2).\nAnswer: 2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + q = -3, -2*b + 6 = -3*q - 2*q. Suppose -b*w = 5*g - 9320, 16*g - 5*w = 21*g - 9310. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 19950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -3*z + 0 + 13\/60*z**5 - 19\/6*z**3 - 26*z**2 + 5\/8*z**4 - 1\/120*z**6. Determine b(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 36*k**2 + 76*k + 2. Let o(u) = -72*u**2 - 153*u - 3. Let x(h) = -2*o(h) - 5*y(h). Factor x(d).\nAnswer: -2*(d + 2)*(18*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2 = -4*g, -q + 5*g + 4 = -3. Solve 23 = -4*x - 2*v + v, 0 = q*v + 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/b**(-1\/14)*b)*b\/(b**(-1\/8)\/b)*b**(-10)*b*b\/b**(4\/7)*b assuming b is positive.\nAnswer: b**(-365\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3464449t in milligrams?\nAnswer: 346444900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (7\/(-14) - 87\/(-2)). Calculate the greatest common factor of h and 246.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17833.1454 minutes to weeks.\nAnswer: 1.76916125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h*o - 214*h - 85*o wrt o?\nAnswer: 2*h - 85","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6 = 2*z, -3*o + 0*z + 8 = z. Let s(t) = 3*t - t**o + 0*t - 3*t. Let r(q) = 3*q**2 + 7 - 8 + 1. Calculate r(s(l)).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17003\/5205 + (-4)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1 (c) 1\/7 (d) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from jbjbbjt.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 2. Let w be a(4). Let c be ((-17)\/2 + -1)*w. Suppose -3*k - 12 = -5*k. Solve k = -5*r - c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iij when three letters picked without replacement from {k: 3, j: 1, x: 4, i: 2, u: 3, y: 3}?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -100345*p**2 - 282*p + 282. Let h(q) = 1776*q**2 + 5*q - 5. Calculate 282*h(b) + 5*k(b).\nAnswer: -893*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 60 - -35)*45\/(-8235).\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*k, 2*k = v + 2*v - 62. Solve -2*q - 19 = -q + 4*d, -4*q - 3*d = v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 206 + -76. Suppose -5*i = -5*a + m - 440, 4*i - 238 = -a. Suppose 40 = 5*d - i. 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: Let u = -8426 + 8517. Solve u*q + 12 = 93*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642\/(-10)*10\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15912?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-65)\/20 - -3)*-4. What is the greatest common factor of p and 151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msmkt. Give prob of sequence tk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2472915, -4945835, -7418755?\n\"Answer: -2472920*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 11 + (1193 - 1189).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-308)\/147)\/(-22)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59624 and 232?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 8, -6 in descending order.\nAnswer: 8, -1\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 13) to base 11\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39849 = -599*d + 794*d + 882*d for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 q when four letters picked without replacement from {s: 1, g: 1, d: 2, k: 2, z: 6, q: 3}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 5268.9298496.\nAnswer: -5269.9298496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -70297000 rounded to the nearest 100000?\nAnswer: -70300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -1) + -4 + (8 - (1 - 5) - -30)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 b when four letters picked without replacement from {s: 1, b: 3, r: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/5 or 1635?\nAnswer: 1635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 14)*(-6)\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + v + 3, -12 = 5*s - s - 4*v. Let h(j) = -2 - 4*j + s*j - 3. Let o be h(-3). Is o <= 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 15 + 40 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (1*-2 + 0). Let q be (-54)\/(-15) - g\/5. Let t = 32.9 - 33. Sort t, -1\/4, q.\nAnswer: -1\/4, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5311?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040747 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-1*4\/6). Let s(y) = 2*y**3 - 3*y**2 + 5*y + 5. Let w(x) = -x**3 + 2*x**2 - 3*x - 3. What is k*s(c) - 5*w(c)?\nAnswer: -c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -8. Let h be 3\/a*4 + 0. What is the third derivative of -21*z**3 + 61*z**3 - 7*z**h - 25*z**3 wrt z?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/12)\/(2\/(-24)). Which is the nearest to -1? (a) -1 (b) -1\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -0.4, -1\/13, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/8*(-86)\/(-215).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 91821 or 91022?\nAnswer: 91821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.46 - 0.14. Let c = -5.3 - v. Let n = c + 1.7000024. What is n rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 78, 172, 314, 510?\nAnswer: 766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/7)*q*q**(-2\/9))\/(((q*(((q*q**(-2\/3))\/q)\/q)\/q)\/q)\/(q**(-1\/4)*q)))**6 assuming q is positive.\nAnswer: q**(949\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118119689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -4\/3, 8.57, -1\/2, 2.\nAnswer: -4\/3, -1, -1\/2, 2, 4, 8.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -81 - 2*f + 81 + (0 + 6 - 5)*(-35*f - 17*f + 10*f).\nAnswer: -44*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 387470*a**4 + 8*a**3 - a**2 + 8357*a - 10 wrt a?\nAnswer: 9299280*a + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -4\/203?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 131*m - 272. What is the tens digit of p(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, g: 4, a: 2}. What is prob of sequence azzg?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(0*g**2 + 6*g**2 - 4*g**2)*(-3*g**2 + 4*g - 4*g)*((0 - 2 + 0)*(0 + 2*g + 0) + 3*g + 5 - 5).\nAnswer: 12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*l - 4*w + 6, -4*w + 12 = 4*l. Let q(b) = -b - 31. Calculate the remainder when l - (2 + 9*-1) is divided by q(-33).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5454\/216 + ((-1)\/(-4) - (-462)\/(-24))?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27776\/210853 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w. Let i(z) = 909042*z**2. Give i(l(j)).\nAnswer: 3636168*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 2*v - 5. Let i(c) = -377*c + 2987. Let j be i(8). Sort -4, v, j, -5.\nAnswer: j, -5, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8, 74, 186, 332, 500, 678, 854?\n\"Answer: -2*z**3 + 35*z**2 - 25*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3260292292?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39482, -68326, -97170, -126014, -154858?\nAnswer: -183702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**2 + 430*r + 635. Let s be w(-106). Let o = 128 - 1150\/9. What is the nearest to -2\/3 in o, s, 4.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**0)\/x)**(-9\/5)*(x\/(x*x\/(x**(4\/5)\/x)*x*x))\/x**(1\/13) assuming x is positive.\nAnswer: x**(-213\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 97*k**2. Let m(c) = c**2. What is g(m(s))?\nAnswer: 97*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 0*3\/(-6). Let g(s) = -s**3 - s**2 + s + 1. Let o be g(d). Let k = o + 1. Solve k - 14 = 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*y**2 - 94*y + 194*y - 96*y)*(2*y - y - 3*y).\nAnswer: 28*y**3 - 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -78 (b) -4\/7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 621728, 621776, 621824, 621872, 621920, 621968?\nAnswer: 622016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7 (b) 2\/11 (c) 14 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 2433?\nAnswer: 11\/2433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(-1\/9)*i*i)*(i\/i**(-2\/13)*i)\/i*(i\/(i*i**16))**(2\/115) assuming i is positive.\nAnswer: i**(-179\/13455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*n + 4*p + p, 0 = 2*n + p + 18. Let i = n + 11. Let h be ((-20)\/(-3))\/((-5)\/(-15)). What is the highest common factor of h and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2053221, 2053236, 2053251, 2053266?\nAnswer: 2053281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -12*x**2. Let m(p) be the third derivative of -37*p**4\/24 + 704*p**2. What is i(m(a))?\nAnswer: -16428*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 336 - -61. Let l = 396.05 - s. What is l rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 373747485 by 124582495.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11a51 - -3?\nAnswer: -11a4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 185 - 923\/5. Factor 0*q + 0 - l*q**3 + 2\/5*q**2.\nAnswer: -2*q**2*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 267986?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7*c + 4. Let b be x(1). What is the highest common factor of b and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8377 and -8619 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(3\/7)*l)\/(l**3\/l*l*l*l*l)*l\/(l\/(l\/(l**(1\/3)*l)))*l**(-4\/3) assuming l is positive.\nAnswer: l**(-110\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -156*u - 13717763 + 13721195 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43890, 87727, 131514, 175251?\nAnswer: 218938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -3*p + p**3 + 0 + 5\/14*p**7 - 21\/20*p**5 + 0*p**2 - 3\/4*p**4 + 3\/10*p**6. What is w in k(w) = 0?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 5592 - 7300. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v**2 + 41*v + 191. Let p be o(14). Which is smaller: -565\/28 or p?\nAnswer: -565\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64898.\nAnswer: 2, 37, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 + 385\/49)*7\/2. Calculate the smallest common multiple of (-11 + 5)\/y + 14 + 0 and -44*(1 - 2\/1).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-70))\/((-30)\/(-8)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1974271\/43710 + 6\/7285. Let u = o - -136\/3. Let n = 0 - 0.1. Sort u, n, 4\/9.\nAnswer: n, u, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -9*h**2 - 30*h - 27. Let y(z) = 5*z**2 + 15*z + 14. Let l(k) = 4*c(k) + 7*y(k). Suppose -14 = -22*o + 23*o. Give l(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 100*m - 242*m + 110*m. Let l(d) = d - 2. Let p(f) = f + 5. Let y be p(-6). Let i(j) = j - 1. Let z(u) = y*l(u) + 2*i(u). Determine z(w(c)).\nAnswer: -32*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*n - l - 474 = 0, 56 - 52 = -3*n - 5*l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33052, 132184, 297404, 528712, 826108, 1189592, 1619164?\nAnswer: 2114824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 0, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - a**5 + (0*a**2 - 4*a**2 + 6*a**2)*(2*a**3 + a**3 - 2*a**3) - a**5 - a**5 + 4*a**5 + (-25 - 32 + 16)*(a**5 + 4*a**5 - 2*a**5).\nAnswer: -120*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1033097*b*j**5 - 3*b*j**3 - 2*b*j - 2*j**2 - 2558657 wrt j.\nAnswer: 61985820*b*j**2 - 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15739 times 0.03?\nAnswer: -0.0047217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*r + 6634 = -155*r - 476 for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*s + 68 + 3*s - 10*s as r + x*s and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 2216124.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -497, -879, -1213, -1475, -1641, -1687, -1589?\nAnswer: -1323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.12 + 6.12. Let q = 0 + t. Let u = q + -3. Which is the biggest value? (a) u (b) -5 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -1917882.\nAnswer: -1917878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*n**2 + 43*n**2 - 181*n - 15*n**2 - 4*n**2 - 8*n**2 as r*n**2 + d*n + v and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 8*o**2 + o - 6. Suppose -7*f + 6*f = -15. Calculate the remainder when p(5) is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.07, 7.53092 in ascending order.\nAnswer: -6, 0.07, 7.53092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/19? (a) 1 (b) -2\/3 (c) 0 (d) 4\/7 (e) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 3*b + 15, -2*t - 4*b + 31 = 11. Suppose 0 = -r - 2 + 7, t = 3*c + 5*r - 2878. What are the prime factors of c?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2157 divided by 3.\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z + 18 = 0. Suppose 3*g = -z*g + 2760. What are the prime factors of g?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -4. Let o(u) be the second derivative of -u**3\/6 - u**2\/2 - 5*u. Let r be o(-7). Let l(p) = 2*p - 2. Let k(s) = 2*s - 2. Determine a*k(g) + r*l(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 658260 to the nearest ten thousand.\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -102*m + 8364. Let a be x(82). Let g(z) be the first derivative of 1\/3*z**3 + 0*z + a*z**2 + 3. Let n(y) = -3*y + 12. Calculate g(n(w)).\nAnswer: 9*w**2 - 72*w + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 6*s - 175. Suppose -3*z - 2*z + s = 0. What is the remainder when 276\/15 + 4\/(-10) is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*c + 6044 = 26*c + 1619 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 787.6616 years?\nAnswer: 9451.9392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 + 66 = -237*k - 227 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/56992 and 73\/25208.\nAnswer: 1310816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + -4*sqrt(132)\/(sqrt(12)*-2) + -5).\nAnswer: -15 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113*u - 2 - 113*u - 2*u**3 + 18*u**4 + 5*u**2 - 6*u**2 to the form z*u**4 + r*u**2 + x*u + v + f*u**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/7))\/((y*y*((y*y\/y**19*y*y*y)\/y)\/y)\/y)*y**(12\/7)\/(y\/y**(-13)) assuming y is positive.\nAnswer: y**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + v**2 - v. Suppose 18*j = 115*j + 426 + 59. Let t(s) = 19*s**3 - 4*s**2 + 5*s. Determine j*b(r) - t(r).\nAnswer: -24*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 25 = 23. Suppose -b + f = 3*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 615205188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1681?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 2 - ((9 + 11 - 4) + -43).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**3 + 93*i**2 + 400*i - 1164 = 0.\nAnswer: -6, 2, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**7\/280 + m**6\/24 + 13*m**3\/3 - 8. Let q(r) be the third derivative of p(r). Factor q(u).\nAnswer: -3*u**2*(u - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i - 114 = -90 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 81*t - 534. Give m(7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91402545*x - 91402540*x - 3*x**3 - 4*x**3.\nAnswer: -7*x**3 + 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-56))\/(6\/4*1).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2\/(36\/58)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**9*o**(-5\/4)*(o\/o**(2\/7))\/o**(-3) assuming o is positive.\nAnswer: o**(321\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -246*u**2 - 9*u - 6*u - 8 + 17*u - 3*u**3 + 248*u**2 to the form z + k*u**2 + j*u + a*u**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6 - 16*q + 1 - 4 - 1. What is z(2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*c**2 + 11582*c**3 - 3*c**2 + 2*c**2 - 5790*c**3 - 5793*c**3.\nAnswer: -c**3 + 71*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from {y: 1, l: 1, z: 2, k: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*p - 29*p - 28*p + 107*p - 26*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + -22*(-1 - 1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -680*y**2 + 674*y - 9. Determine k(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**0)**(-21\/5)*(z**1)**(-50))**(4\/13))**38 assuming z is positive.\nAnswer: z**(-7600\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 6 + 10 + -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-6)*(-2)\/4*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6*r - 73 = 0, 0 = -60*z + 65*z + 2*r + 49. Sort z, -2, 45 in ascending order.\nAnswer: z, -2, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.1 - 0.1. What is the smallest value in 6\/5, 0.03, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/4*10\/(-2). Let f be 6\/w + 406\/(-10). Does 16 divide 1 + -2 + (2 - f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 7*a**2 + 8*a - 2. Let q(m) be the second derivative of m**4\/12 - 5*m**3\/6 + 3*m**2 - m - 16. Let k be q(5). Determine f(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -94, -87, -80, -73?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(5\/7)*(s*s\/(s*s**15*s))\/s)\/(s**0)**(-7) assuming s is positive.\nAnswer: s**(-100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -287, 318, 1157.\nAnswer: -287, 318, 1157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -298*c*d*v**3 - 411*c*v**3 + 6*c + 34778*d*v**2 - 3*d wrt v.\nAnswer: -1788*c*d - 2466*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwyc when four letters picked without replacement from czcyywyyz.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 98*i - 1501.\nAnswer: -(i + 19)*(i + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 100332301203 (base 4) in base 6?\nAnswer: 235224243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, h: 7}. What is prob of picking 2 h?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -73 (b) -0.5 (c) 0.1 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/441*76\/285*(-18)\/(-8)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 24*d - 44. Let h be f(-22). Suppose x - 39 = -5*c, 78 = 2*x - h*x - 4*c. Calculate the remainder when x is divided by -2 + 0 + (-5 - -28).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -417d (base 14) in base 5?\nAnswer: -330113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 130, 184?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3021*m*r**2 + 234*m*r - 10*r wrt r?\nAnswer: 6042*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*u**3*w**4 + 50*u**3*w + 3929*u**3 + 12*u**2*w - u**2 + 4*u*w**2 + 2*u + 30681*w**3 + w wrt w.\nAnswer: 24*u**3*w**2 + 8*u + 184086*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394249.\nAnswer: 394249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f + 18*f + 300 = 0. What is the remainder when f is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1576155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/10 of a micrometer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 248 = 5*m - 2*j, 0 = 4*m + 4*j - 1028. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1276 - -1295. Calculate the remainder when 110 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113.1 times 0.87\nAnswer: 98.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -5, -409, -103, -1, -3 in increasing order.\nAnswer: -409, -103, -16, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 4*w + 12, -20*h + 16*h = -2*w - 12. Let l = -289 - -866. Suppose -h*g + l = p + 4*p, -4*g = p - 573. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -335048220 rounded to the nearest one million?\nAnswer: -335000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2475102 divided by -6.\nAnswer: 412517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1928048822.\nAnswer: 2, 7, 137717773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 5*o + 3*o + (-3 + 3 + 2)*(o + 2*o - 5*o) - 148 + 148 - 16*o)*(3*o**2 - o**3 - 3*o**2).\nAnswer: 19*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -5.05, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**2 - 8*d + 8. Let o be p(-7). Suppose -4*j + o + 203 = 0. Calculate the highest common divisor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10, q: 2}. Give prob of picking 2 y.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3303331020 - 30122?\nAnswer: 3303300232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 11*p**2 + p - 2. Suppose 2*w - 4*f - 32 = 0, 6*w - 2*w = 2*f + 52. What is the smallest common multiple of w and g(1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 248*z - 50*z + 4 - 1 - 1 to the form u*z + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + -24 + 15)\/((-2)\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*g + 5*g - 5*n, g + n = -3. Let w(o) = -o**3 + o**2 + 2*o + 50. Let i be w(g). Let j = i - 47. Solve -2*m + 10 = 0, j*v - 5*m = -v - 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -963, -1465, -2821, -5457, -9799?\nAnswer: -16273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 10*y + 5. Let x be f(0). Put -2, -4, x in descending order.\nAnswer: x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 10 = -3*a, -1 = 3*a - 3*y - 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -65*b**2 + 53. Let y(j) = -130*j**2 - j + 104. Let r(u) = 5*f(u) - 2*y(u). What is the derivative of r(l) wrt l?\nAnswer: -130*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -10, 0 = 2*d - 4*k - 4. Let w be 29 + (6\/(-2) - d). Calculate the highest common divisor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 1142165*u - 11421750.\nAnswer: (u - 1142175)*(u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2975 - 22.2255. Let f = a + 22. What is f rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*f**2 - f + 23*f - 22*f.\nAnswer: -47*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36b380 - -30a?\nAnswer: -36b072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + (2 - 16 - -42)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/392 and -4\/3185?\nAnswer: 25480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 23. Let n = 9 + v. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 5*l + 31, -81 + 69 = 3*l. Let y(r) = 2*r**3 + r**2 - 2*r + 15. What is the remainder when s is divided by y(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 40?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/8, -3, 667, 2\/3, -14\/9?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14516 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02, -2\/77, -4\/5, -0.2, 2, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 29\/24 - (-1 - 16\/(-12)). Suppose 2*f - 4*z = 0, 0 = 2*f + f - 5*z. Which is smaller: f or b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 159.021744 and 131.86.\nAnswer: 290.881744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -48 - 120. Let l be ((-1)\/(-2))\/(2\/u). Let z be (93 - 12\/(-3)) + 8. What is the greatest common factor of l and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z**3 + z**2 - 9*z + 8. What is y(2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*o + 1373 - 9980, -2858 = -o - 2*u. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 10 + 31 = 0. What is the remainder when u is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -8 + (-18 - -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/2*(-392)\/(-21). Let s be (-9)\/r*2\/(-3). Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 0.3, 0.41 in decreasing order.\nAnswer: 0.41, 0.3, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 11 = w, -3*p + 8 = 2*w - 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -46.11, 0, -2\/3 in decreasing order.\nAnswer: 3\/2, 0, -2\/3, -46.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*p + 4*b + 39, 0 = -2*p - b + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/4)*h\/h**(4\/11)*(h\/(h**(-3\/2)\/h))**(-1))**23 assuming h is positive.\nAnswer: h**(-3657\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 185634?\nAnswer: -185642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**6\/4 + t**5 + 3*t**4\/8 - 2*t**3 - t**2 + 12. Find s, given that m(s) = 0.\nAnswer: -2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.071 - 0.029. Let o = -1\/72 + -5\/24. Put k, o, 0 in increasing order.\nAnswer: o, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.30365, 3838, -3?\nAnswer: 3838","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.7 * -175.\nAnswer: -1697.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*s + 20723 = 3*s, 4*s = -5*m - 103614. Is m\/(-39)*(-21)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 53 and -9.4.\nAnswer: -498.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4 = 0, -4*c + 4*z + 6 = c. Let r be -20*(-2)\/(-15)*-3. Suppose -2*v + r = -c. Solve -2*i - 5*h = 31, 5*i - v*h = -0*h + 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2 + 10*b + 1. Let f(k) = 4*k**2 - 11*k - 1. Let m(r) = 4*f(r) + 5*t(r). Let y be (-14)\/63 - (-61)\/(-9). Determine m(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + 31. Let d be ((-60)\/(-16))\/(-5)*t. Suppose -d*p - 57 = -3*i + 2*p, -4*p = 0. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17608*b*z - 49*z - 523 wrt b?\nAnswer: 17608*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111 and 3811.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**2 - 49*g - 4. Let o be a(-27). Let q = 3386 + o. List the prime factors of q.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 10*l = 0. Suppose 2*a - 16 = -l*a. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/256 (b) -0.1 (c) -1.7 (d) 7 (e) -0.3 (f) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -600 divided by 8?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1275 and 2465.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 1 + -2)\/(150\/20). Let z be (-2)\/72*2*-4. Let l be 5*((1 - 1) + -1). Which is the nearest to u? (a) l (b) -2\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2160 by 251.\nAnswer: -2160\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/2947 and -17\/35.\nAnswer: 14735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90298*q**2 + 7435*q - 2?\nAnswer: -180596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 69.63834 to one dp.\nAnswer: 69.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 - w**2 - 8*w - 142. Calculate c(0).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -286.43 take away -8897747?\nAnswer: 8897460.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509*g - 10423384 = -10395898 for g.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-533)\/(-52))\/(-41))\/(6\/(-3))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x - 43*x + 13*x + 19*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 3*d**2 - 4*d - 21. What is m(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 l when four letters picked without replacement from bdlbdlbllllbbl?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/84300 and -115\/12.\nAnswer: 84300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1762991.31 times 0.7?\nAnswer: -1234093.917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 965600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*-0.4.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (0 + (-2)\/(-8)). Let d be 1\/(-3) - 2\/(-12). Let t be ((-2)\/(-4))\/(15\/12). What is the nearest to t in m, d, -2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12397?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 3. Let x be b(5). Suppose x*s - 4 = -2. Suppose 7 = u - s. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - q - 163 = -9*b, 2*b = 3*q + 73. What is the remainder when 113 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -12.5. Let k = -289 + 289.1. What is the nearest to -73 in j, -2\/17, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(132) - 1*(2*sqrt(132) + sqrt(132)) - sqrt(132) - -1*sqrt(132)*5))\/((2*sqrt(72)*1)\/(-3*sqrt(18)\/sqrt(3))))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17653.\nAnswer: 127, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24524113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2592 and -145\/5616?\nAnswer: 33696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233 (base 9) to base 6.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i + 15182 = 30*i. Is i 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 xbqbxqnnn. Give prob of sequence qnbx.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11456526*9.9\nAnswer: 113419607.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3076792 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100840*a**2 - 50721*a**2 - 50101*a**2.\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 2, -248, -5 in descending order.\nAnswer: 2, -1\/2, -5, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20368530?\nAnswer: 2, 3, 5, 7, 13, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 56 = 3*s - 4*o, o + 28 = -4*s. Let i be 5\/2*s\/(-10). What is the third derivative of -3*f**5 + 6*f**5 + i*f**2 + 0*f**2 wrt f?\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = l - 25. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/4 - 3*17628\/(-72). Round x to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -187*a*m**3*r - a*m*r - 6*a*m - a*r + 2*m**3*r + 6*m**2*r - r wrt a?\nAnswer: -187*m**3*r - m*r - 6*m - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2374286 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 27 - 4) + -99 + 113.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1027175178?\nAnswer: 2, 3, 171195863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one twentieth of a second?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 5:21 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfcpccfcccpcpcc. What is prob of picking 2 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvcn when four letters picked without replacement from ninvckfvivfkivkn?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/3496 and 101\/8137814.\nAnswer: 32551256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -216944114 at most -216944114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**2 - 7*n**2 - 41*n - 24*n**3 + 82*n - 39*n + 2*n**2 in the form a + p*n**3 + b*n + w*n**2 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -4, 3.\nAnswer: -4, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**4\/4 - 5*q**3\/3 - q**2\/2 - q + 37. Let y(j) = 2 + 2*j**3 + 2*j - 3*j**3 + 0*j + 8*j**2. Give 8*x(b) + 5*y(b).\nAnswer: 3*b**3 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794600 divided by 180?\nAnswer: 9970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 17 = 4*k, -4*k = 2*s + 2*s + 12. What is the common denominator of 97\/8 and (s + -1 - (-184)\/64) + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 2:34 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-44)\/(-8) + (-5)\/10. Let w(c) = -c**3 + 6*c**2 - 5*c. Let y be w(m). Suppose 3*v - 6*v + 3*r + 78 = y, v - 2*r = 30. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/11 and 9\/369622.\nAnswer: 369622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - ((-5 - 2) + 3). Suppose -1 = -t + 3*q, -l*q = 2*t - 3*q - 11. Calculate the smallest common multiple of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**5\/4 - 3*n**4 - 69*n**3\/4 + 81*n**2\/2 + 81*n - 162 = 0. Calculate n.\nAnswer: -3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w. Let n(k) = 2*k. Let s(h) = 3*g(h) + 3*n(h). Let b(a) = 11*a**2. Determine b(s(m)).\nAnswer: 99*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 + 7*t**2 - t - 13. Let f(j) = j**3 + j - 2. Let h(b) = 3*f(b) - v(b). Let y = 16 + -11. What is h(y)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: c5 (base 13) to base 2\nAnswer: 10100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {l: 4, a: 2, j: 1, w: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.17, -9\/10, 3.6, -6, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14999 is divided by 242.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 40 * 0.1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4650?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/sqrt(160) + (sqrt(1100) + (sqrt(1100) - -1*sqrt(1100)))**2 - (sqrt(275)*-2 + -1).\nAnswer: 41*sqrt(11)\/4 + 9901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 20. What is the remainder when (-47)\/(-3) + 2\/(-3) is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**2 - 1034*a - 2752. Give i(-342).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1581 is divided by 45.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 3 - (-1330)\/(-315). Sort 1, 5, j.\nAnswer: j, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*h + 98 - 111, 5*h = 2*d + 17. Which is the nearest to -3? (a) 5 (b) 17 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 12 = 6*y. Suppose -o + 528 = 21*u - 22*u, -4*u = y. What are the prime factors of o?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 203132*m**2 - 1828432*m + 4063360.\nAnswer: 4*(m - 5)*(m - 4)*(m + 50792)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -371 - -373. Solve 61*o + g = 63*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1095.0231 to zero dps.\nAnswer: -1095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155400 divided by -12950.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2804 + -2788. Solve m = 3*k - 0*c - 5*c, -5*k + 20 = -5*c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s. Let y(t) be the first derivative of t - 1. Let m(v) = -2 + 3 + v - 5. Let x(j) = -m(j) - 4*y(j). Give x(b(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -285*p**6 - p**3 + 3*p**2 + 8?\nAnswer: -34200*p**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 2. Suppose -4*a - 4*b + 2*b - 4 = 0, i*b = -a - 8. Suppose 0 = -u, a = 2*m + 3*m + u + 25. Let o(p) = -p**3 - 6*p**2 - 4*p + 1. What is o(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-8 - -4) - (-18 + -19) - -7.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -259 + 819. Is w a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.111 in 6, -5, -1\/9, -0.5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8907344 divided by -16\nAnswer: -556709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 + 6.97. What is the smallest value in -0.5, d, 1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + 92*n + 49. Give i(-45).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5748)\/2395)\/(-2*(-8)\/12)*(-175)\/3?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 54.42, 0.5, 4, -0.19 in decreasing order.\nAnswer: 54.42, 4, 0.5, -0.19, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2246*m - 283*m - 760*m)*(-3 + 2 - 1).\nAnswer: -2406*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 - 4*l**2 - 1. Let s(w) = -348*w**2 + w + 1. Determine -m(j) + s(j).\nAnswer: -2*j**3 - 344*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18\/5 - -159\/40. Let b = -1 - 1. What is the third smallest value in 5, b, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, q: 3, r: 10, y: 3}. What is prob of sequence nq?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -d - 38, 5*s + 0*d - 3*d = -40. Let h = s + 14. Sort h, -3, -9.\nAnswer: -9, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5*t + 3)*(51*t + 7 - 7 - 18*t).\nAnswer: -165*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 0. Let h be 3 + -1 + (-99)\/(-21). Let s = h + -7. Sort -0.3, x, s.\nAnswer: -0.3, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/5)\/(q\/q**2))\/(q\/(q\/q**2)*q**6*q))\/(q*q**(-2\/13)*q**(-9))**(1\/11) assuming q is positive.\nAnswer: q**(-4761\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 20*z**2 + 70*z - 21. Let n be q(23). Solve -6*t = n*t - 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 2\/(-4)) + -2. Suppose -2*b = -3*b + g + 1, -g = -4*b - 11. Let u = -1.6 + 2. What is the closest to 2\/7 in b, u, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 537*0.07.\nAnswer: 37.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-12) - 11\/(-3). Let f(l) = -l**2 - 3*l + 20. Let r be f(0). Suppose 4*m = -m + 25. Solve 4*v = -r, -g*v = m*c - 0*v + 35 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000530736055 to five decimal places.\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-5 - -3 - -3). Let p be (-1)\/(2 - 78\/38). Suppose -i*d + 3 = -p. What is the least common multiple of d and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-233*d - 233*d + 75*d)*(9 + 32 - 1)*(d - 4*d + 5*d).\nAnswer: -31280*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 25*q + 357. Let o be x(-35). Let f(v) = -v + 2. Let a(c) = c - 1. Let r(i) = -2*a(i) - f(i). Calculate r(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 17949632?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.748 * -0.05.\nAnswer: 0.1874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*b - 299*b - 1908 = -507*b for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - w - 9 + 11)*(-7*w + 3*w - w)*(-2 + 2 - 3).\nAnswer: -45*w**2 + 30*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -342 + 2396\/7. Which is the nearest to q? (a) -17 (b) -4 (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321*h + 321*h - h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/12)\/(7\/(-364))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 30545, 30547, 30549, 30551, 30553, 30555?\n\"Answer: 2*x + 30543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.92 - 0.0058?\nAnswer: -2.9258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 85135137319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8246835 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -137138559\/4 not equal to -34284640?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12, -5, 0, 0.2, 0.06, -4\/5, -3\/64?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 256*t - 131*t - 128*t - 21, -5*q = 9*t + 63 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1137007*j**4\/5 - 6822044*j**3\/5 - 13644096*j**2\/5 - 1819216*j - 16\/5.\nAnswer: -(j + 2)**3*(1137007*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34 - 3066\/(-84))*4. Factor -5\/4*h**2 + 0 + g*h.\nAnswer: -5*h*(h - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101 - -1100101?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -302 + 308. List the prime factors of 115 - (30\/p + 1*-8).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 127*h - 1033. Determine f(-11).\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 - 2*o**4 - o - 161*o**3 - 159*o**3 + 329*o**3 - 2 to a*o**4 + i + g*o + n*o**2 + j*o**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.635197 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + -2)*3\/(-6). Is -34*(g\/(-4) - 0) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-6)*0\/1. Suppose 3*m = -r*m + 78. Suppose 2*h - m = -0*h. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -187, -284, -393, -520?\nAnswer: -671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 11*a - 23*a. Let y = -0.4 + 0. Sort y, -2\/9, 62, a in ascending order.\nAnswer: y, -2\/9, a, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a. Let m(z) = 40161*z**2 + 1612*z. Calculate m(c(p)).\nAnswer: 40161*p**2 - 1612*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.36\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuuzvuzvzvuzuvzvuzu. What is prob of sequence vu?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 2:02 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 396 times -76?\nAnswer: -30096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*u**2 + 37 - 37 as r*u + q*u**2 + m and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x. Let d(s) = 169*s**2 - 8. Let k(g) = -170*g**2 + 6. Let o(w) = -3*d(w) - 4*k(w). What is t(o(j))?\nAnswer: 346*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-2) - 13\/11)*-11. Solve 4*b = -16, 0 = 3*h + p*h + 5*b + 30 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 4*w + y - 0*y, -11 = -2*w + 3*y. Let z = w - -1. Suppose 0 = 5*v - 4*h - z, h = v + 4 - 6. Calculate the greatest common factor of 24 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 519084800?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 6 - 1 + 3 + 0 + 7*z to p + l*z and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147348 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d + 12*d - 184 = -12*v + 37*d - 11*d, -5*d + 20 = 0 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 8990?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -94319.771 to the nearest integer.\nAnswer: -94320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 461 - 450. Let u(w) = 8*w**2 + 3. Let y(i) = 3*i**2 + 1. Determine p*y(h) - 4*u(h).\nAnswer: h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 400*g**4*o*s**3 + g**4*s + 2*g**3*o + g**2*s + 211*g*o*s**3 - 309*o*s**2 wrt g.\nAnswer: 9600*g*o*s**3 + 24*g*s + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -2.9. Let i = 0 + q. Let t = 0.08 + i. Round t to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2\/2 - 27*i\/2 = 0. What is i?\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/4 - (10 - 5 - 39588\/16)?\nAnswer: 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*j + 4 = 0. Let t(m) = -m + 1. Let f be t(j). Suppose -y = -5*y + f*s + 7, 2*y - s - 5 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -261 (base 16) to base 5\nAnswer: -4414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49770 + 150568\/3. Which is greater: l or 418?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 3*z - 3. Let m be c(-3). Let q = m + 8. Suppose i + 2*d = -2*d + 24, -4*i + 12 = -q*d. Solve 0*a - 2*a + i = -2*s, -3*a = 5*s + 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 + 41. Let w = -26 - x. Suppose v - 64 + w = 0. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36931748369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, p: 1, n: 2, j: 2}. Give prob of sequence pj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**2\/8 + 12577*f - 316361858 = 0.\nAnswer: 50308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4534*m + 4523*m - 13522*m + 4590*m.\nAnswer: 125*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**4\/7 + 122*j**3\/7 - 400966*j**2\/7 - 78487722*j\/7 - 155370636\/7 = 0. Calculate j.\nAnswer: -279, -2, 499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z + z**3 + 0 + 10*z**2 + 6*z + 0*z**3 + 3. Let g be t(-9). Solve -p - 2*p + g*h = 9, 4*h - 12 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1377)*-1 - sqrt(1377)) + sqrt(1377) + -1 + -2.\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 3:31 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -26\/263113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 8:41 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.01 and -1854261?\nAnswer: 1854261.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + 36103 = 9658. Let m = -1753 - f. Let i = 16 - 10. Solve -7*z = -m*z - i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672*m - 1352*m + 3*y + 45 = -676*m, m - 19 - 2 = 4*y for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*p + 2*u, -2*u - u = -p + 30. Solve -5*l**3 - 9*l**2 - 16 - 54*l + 4*l**3 + p*l = 0 for l.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -1\/1440*l**6 + 0*l - 1\/240*l**5 + 1\/6*l**3 + 0*l**4 + 0 - 11*l**2. Let j(d) be the first derivative of r(d). Factor j(h).\nAnswer: -h*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 198965 divided by -28\nAnswer: -198965\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4 + b - 2 + 0. Let y be s(5). Let v = 20 - y. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*g - 3*g = -180, 4*g + 115 = 3*i. Let z be i\/2 - (-2)\/(-4). Let b = -9 + z. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*((2*sqrt(128))**2 + sqrt(2)) - -1*((sqrt(100)\/sqrt(5))\/sqrt(10) + sqrt(250)\/sqrt(5))**2.\nAnswer: -949 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 7874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 h, and 1 k when four letters picked without replacement from eehkih?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -23 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**4 - 2240*u**3 + 4752*u**2 + 103102208*u - 1029217280 = 0. What is u?\nAnswer: -376, 10, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 - 122. Suppose -11*t - 14 = -k - 13*t, 2*t + 96 = 4*k. Let a = k - w. What is the remainder when a is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/((1\/(-29))\/(7\/((-112)\/80)))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 379? (a) 3\/7 (b) 0.3 (c) -247.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-240)\/(-9))\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7049 a factor of 2181221413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2 - (37 - 89)) + 4 + 11.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1850 and 2590?\nAnswer: 12950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 8:13 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(44\/(-16) - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70623 rounded to the nearest one hundred?\nAnswer: 70600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 8 + 50*b - 71*b**2 + 3*b**3 - 65*b**2 + 167*b**2 - 14*b**3 = 0.\nAnswer: -1, -2\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4329, -17504, -39521, -70380, -110081, -158624?\n\"Answer: -4421*b**2 + 88*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**6\/1080 + q**5\/360 + q**4\/36 - 10*q**3\/3 - 9*q**2. Let v(l) be the first derivative of k(l). Solve v(d) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14045700.\nAnswer: 2, 3, 5, 46819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 9*m - 364. What is the remainder when u(43) is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 116060 in -0.3, 0, 2, -2\/5, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-14) - -10*12\/28?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -29*r**2. Let j(t) = -29*t. Determine c(j(b)).\nAnswer: -24389*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 x when three letters picked without replacement from {n: 2, t: 1, x: 1, k: 1, m: 1, z: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 146166*o*x**3 + 139394*o*x**2 wrt x.\nAnswer: 876996*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**9\/u*u\/(u*u**(-6\/11)*u*u*u*u)*(u*u**(-1))**(-6\/13) assuming u is positive.\nAnswer: u**(50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, p: 2, j: 1, w: 1, f: 1}. What is prob of sequence fg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14257\/588 + 1\/294. What is the common denominator of (-111)\/42 - (-6)\/18 and m?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*w - 13*w - 5*w)*(3 - 3 + 2) - 2*w + 2 - 2.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w**3 - 14*w**3 + 2*w**3 + 23*w - 23*w.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 264\/(-330) - 4\/(-5). Suppose 16 - 4 = 3*u. Solve -u*m = -j*m - 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 648 - 624. Let f be ((-126)\/v - (-1)\/4) + 2. Sort -49, f, -4 in decreasing order.\nAnswer: f, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.6 + -3.6. What is the third smallest value in 1\/4, -3, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1324*u**3 + 233365*u**2 - 8266*u - 27579 wrt u?\nAnswer: -7944*u + 466730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -74, 40, 37, -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*-1 + (sqrt(4)\/sqrt(2))**2*4.\nAnswer: -3*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1613556 is divided by 116.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + 0*c - 3*c**2 + 2*c**2)*(0 - 2*c + 0)*(-17*c + 385 - 385) to k*c + y*c**4 + i*c**3 + x + p*c**2 and give i.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away -0.114?\nAnswer: 6.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 30*z - 32*z + 2*a, 2*z + a = -11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = j + 4*j. Suppose 0 = 5*w - l - 26, 4*w - 28 = -l - j*l. Let t(n) = -n**3 + 5*n**2 + 8*n - 6. Give t(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 37. Suppose 4*y - 6*y = -o + 12, -15 = 5*o + 5*y. Let x be 3\/o*(-7 - -9). Put 5, x, p in ascending order.\nAnswer: x, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - c + 10 = 0. Let y be (5\/c)\/(1\/(-2)). Suppose y*j = -2*j + 68. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 4*w = 57, -457747*o + 2*w = -457699*o + 1766 for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -252, -250, -248, -246, -244?\n\"Answer: 2*x - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.349 + -0.051. Suppose q - 4*q = 3. Let k be q + 48\/14 - 2. Sort k, f, 0 in descending order.\nAnswer: k, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -51*k**3 + 22*k**2 - 27*k + 1. Calculate o(2).\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2 - 64*n - 1024 = 0. Calculate n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -11. Suppose j = 2*q - 0*j - 12, -5*j = 3*q - 18. Calculate the remainder when t is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 144915091*v + 1457452190.\nAnswer: 144915091","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -591*l - 2*k - 24 = -590*l, -27*k - 278 = -3*l - 8*k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 0) + (-347 - -341)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 651283 - 39*o + 39*o - 651270.\nAnswer: 2*o**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/14)\/(1\/(-12)). Let g = 0.07 + -6.07. Let w = -5.6 - g. What is the third biggest value in s, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 divided by 402\nAnswer: -55\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112121222001 (base 3) to base 12.\nAnswer: -11a761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**4\/24 - s**3\/3 - s**2. Let a(y) = 2*y - 5. Let h(z) = -2*a(z) + 5*l(z). Let d(f) = -f - 3*f + 2*f. Determine h(d(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 393*a - 405. Let l(k) = -784*k + 806. Let p(r) = 2*l(r) + 5*u(r). Differentiate p(c) with respect to c.\nAnswer: 397","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r, u = -0*u + 2*r + 9. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8880 and 138080.\nAnswer: 15326880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 140, 210, 278, 344, 408?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 4:13 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*q + 16, 0 = 3*q - 114*o + 112*o + 5. Solve 21 = -l + q*y + 10, -4*l + 5*y = 23 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 2:42 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 7. Suppose -2*t + d*t - 2570 = 0. Round t to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2 + 3*n - 1. Let b(f) = -f**2 - f. Determine 5*b(k) + 2*i(k).\nAnswer: k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108845\/3958 - 1*((-2)\/(-1) - (-15)\/(-6)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = -4*a - 91, -83*a + 43*a + 41*a + 2*w + 4 = 0 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l + 13. Let f be n(0). Calculate the greatest common divisor of f and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8888, -6449, -4008, -1565, 880, 3327, 5776?\nAnswer: 8227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(88)*-1)\/(((sqrt(288) - sqrt(288)*-1) + sqrt(288) - sqrt(288) - sqrt(288)) + sqrt(288)).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*k = 48*k + 27. Let z(n) = 0*n - n - 5 + k + 0*n. Suppose 3*v + 2 - 14 = 0, -2*x = -5*v + 20. Determine z(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3*l + l)*(l**2 + 0 + 0) - l + 3*l - 2*l**3 - 5*l**3.\nAnswer: -8*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/32 and (-3)\/(-6) + 227\/(-12) + 6.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22521 - 23?\nAnswer: 22454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 9*g**2 + 11*g - 4. Let z be i(10). Let m be 2*z\/4 + 0. Is 3 - (187\/(-1) + m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/32 and 35\/372?\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 171, 189, 227, 297?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6869 divided by -63000\nAnswer: -6869\/63000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/6 + 6)*(7 - (-30)\/(-6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73\/2 - -42. Is 5 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40983137 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 482212 - -2?\nAnswer: 482214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f**3 + 2*f**2 - 2*f + 3. Let z be o(2). Suppose 5*b + 10 = z. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -585*n**4 + 5853*n**3 - 18750*n**2 + 18816*n - 96 = 0.\nAnswer: 1\/195, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1427?\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 3, 775, -2576.\nAnswer: -2576, -5, -3, 3, 775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - i + 2. Suppose 3 - 11 = 4*t. Suppose -8*f - 17 = -25*f. Let w(o) be the first derivative of -o**3\/3 - o**2\/2 + 3. Determine f*u(r) + t*w(r).\nAnswer: r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 50*q - 3. Let j(s) = 1551*s - 94. Give 3*j(t) - 94*x(t).\nAnswer: -47*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 19085\/31 = 616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + -1. Let c(f) = f**2 + 4*f + 4. What are the prime factors of c(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 191*i**2 - 7923*i - 1484328. Determine l(-192).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -68996, -68566, -67848, -66842, -65548, -63966, -62096?\n\"Answer: 144*b**2 - 2*b - 69138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134372351.\nAnswer: 19, 557, 12697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + i - 280. Suppose -5*x - i = -6*x. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 30.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108208 by -108208.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -26) + 1 + -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, v: 3, q: 3, g: 8, k: 5}. What is prob of picking 1 q and 1 k?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - h + 19 - 1, -2*v = 4*h - 12. Suppose -5*i + 10 + v = 0. Solve 3 = q + i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 20 = 0, 4*n + 39 = 17*t + 4*t - 78 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-10) - (-320)\/25.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3702 is divided by 218.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -2330240402?\nAnswer: 2330240343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1080483 and 3243?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1911*z**3 + 4668*z**3 - 32*z**2 + 21*z + 1087*z**3 + 3979*z**3 wrt z.\nAnswer: 69870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 18*a + 46. Let g be l(20). Let j be (-150)\/5*(-4)\/(-18) + g. Let b = 3.4 - 3. What is the second smallest value in b, j, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10318396 and 49852?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*v - 5*c + 922, 5*c - 2320 = 5*v. What is the tens digit of v\/(-12) - (-1)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 2469928.\nAnswer: 22229352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1032 in 36, -2\/9, -5, -3\/4, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024998 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -34542 from 0.068368.\nAnswer: 34542.068368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2783405*q**3 + 1995809 wrt q.\nAnswer: 8350215*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -2\/9*n**3 + 4\/3*n**2 - 13 - 3*n - 1\/9*n**4. Let o(y) be the first derivative of z(y). Solve o(f) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1378.5 + -1230.5. Which is greater: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1780 + 32027\/18. What is the common denominator of 67\/20 and f?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -3) + -9 - ((-4 - 21) + 15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/3 (b) 0.4 (c) 1 (d) -11 (e) -7 (f) -14 (g) 117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -f + 25, -r + 1 - 6 = 0. Let h(l) = l + 6. Let w be h(-4). Solve -f*c = -w + 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5781 + 5829. Are 42 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4041 - -33400123?\nAnswer: 33404214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-2)\/(-4)) - 0. Suppose -4*o = -d*o. Suppose -2*v = 3 - 9. Solve -9 = -v*z + 4*r, -z + o*r - 2*r = 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 507321773 to the power of 1\/2, to the nearest integer?\nAnswer: 22524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -22910*d - 183405. Determine g(-8).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((13 - 13) + (4 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2) + -5 + sqrt(2) + (sqrt(50) - 4*sqrt(50))**2)*5.\nAnswer: 10*sqrt(2) + 2230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -28*m - 9. Let p be -3*(-40)\/36*-3. Let i be f(p). Suppose 4*x + 103 = i. Is x a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -78841, -157639, -236439, -315241, -394045, -472851?\n\"Answer: -h**2 - 78795*h - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2*z + 12 = 0, -t = 4*t + 5*z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123 - -122.5. Let f = -0.3 - -0.5. Let y = -89\/7 - -13. What is the closest to f in y, x, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 12*g**2 + 752*g - 12. Let x be a(22). What is the greatest common divisor of x and 1539?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -49431*i**4 + 16478*i**4 + 2*i**2 + 16474*i**4 + 1 - 16*i**3 + 16477*i**4 - i in the form x + j*i**4 + f*i + l*i**3 + k*i**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-7 + (-1 - -23))) + 5 - -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*x**2 - x**2 - 48*x**2 + 21*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19715 + 19773. Solve -59 + r = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349593667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 - 4*b**3 + 5*b**3)*(0*b + 2*b - b) - b**4 - 3*b**3 + 3*b**3 + 2*b**4 - 2837*b + 5458*b - 1245*b.\nAnswer: 3*b**4 + 1376*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = 3*m + 12, -5*i = 25. Suppose 5*g + m*g - 110 = 0. What is the smallest common multiple of 6 and g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 - 45. Calculate the remainder when p is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42\/1021 - 853\/4084. Let r(d) = -d**3 + 6*d**2 - 5*d - 5. Let t be r(5). Sort t, -1\/5, 2, m in increasing order.\nAnswer: t, m, -1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3450, -3454, -3458, -3462?\nAnswer: -3466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -11. Let q = -5 - k. Sort -2, -4, q in decreasing order.\nAnswer: -2, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62241568 divided by 15560392?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 460667, 460657, 460647, 460637?\nAnswer: 460627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12132 - 120302110?\nAnswer: -120223312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + z + 39 = 0, 9*z + 46 + 18 = 4*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 24*o**2 - 278*o + 6495. Give p(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*v + 2 - 6 + 5 + 2*v.\nAnswer: 54*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/2 - (-21)\/((-189)\/(-117)). Solve -2*i - 3*k = -7 - 16, 5*i - f = k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 + 2*k + 4. Let m(w) be the second derivative of -w**5\/10 + w**3\/3 + 5*w**2\/2 + 993*w. Determine -3*m(n) + 4*u(n).\nAnswer: -2*n**3 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 108.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 3*c**2\/2 + 1. Let o(x) = x**3 + 5*x**2 + 2*x - 5. Let m be o(-4). Let p(w) = -w - m*w + 3*w. What is p(l(a))?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1022 (base 7) to base 12\nAnswer: -25b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 431 - 86. Let i = -343 + j. Do i and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/290480 and -151\/3158970.\nAnswer: 25271760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -10 - 3*k - 12 + 7*k - 4. Determine q(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20620245 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 378079020 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6706, 9378, 12050, 14722, 17394?\n\"Answer: 2672*y + 4034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llcr when four letters picked without replacement from llsreleecre?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 2 - 1) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 4*t**2 - 9*t + 9. Give r(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6007.3 times -0.1?\nAnswer: 600.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**5\/70 - 55*v**4\/14 + 8*v**3 + 332*v**2\/7 + 5161*v. Factor k(c).\nAnswer: -2*(c - 2)*(c + 1)*(c + 166)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/33, 2\/13, 19, 3?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.63 - 0.13. Let h = -0.5 - p. Let t = -26\/3 - -280\/33. What is the closest to h in t, -2, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145506218 a multiple of 580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**9\/3024 - s**7\/630 + s**4\/6 + s. Let j(y) be the third derivative of u(y). What is the third derivative of j(i) wrt i?\nAnswer: 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/2 - 5751*o\/2 + 18866903.\nAnswer: -(o - 3907)*(o + 9658)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**2 + 2*a**2 - 18*a**2 - 10*a**2 in the form y + l*a + p*a**2 and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0*b**0)\/(b\/b**0)**12*b**(2\/3)*b*b*b*b**(4\/3)*b**(2\/11)\/(b**(-2\/3)\/b) assuming b is positive.\nAnswer: b**(-170\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2904 is divided by 1448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(5\/3)*f*f**3\/f*(f**(-6)\/f)\/(f*f**6) assuming f is positive.\nAnswer: f**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-1 - 1 - (-3 + -6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.66 + -43.66. Let w = -3822294 + 3822336.9999979. Let s = f + w. Round s to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 + 42*r**3 + 81*r**2 + 40*r.\nAnswer: r*(r + 1)**2*(r + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 - t**2 - 4*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 51\/(-12) - (-2)\/4. Let w = -13\/4 - s. Suppose -2*y + j - 13 = -0*y, -5*y + 5 = 5*j. Which is the closest to -0.1? (a) w (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times -1653?\nAnswer: -33.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 185*j**3 - 743*j**2\/2 - 2*j + 332. What is the derivative of f(h) wrt h?\nAnswer: 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49997 by -1.\nAnswer: -49997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + x + 3*x - 5, 1 = 3*j - 2*x. What is the remainder when 61 is divided by 56\/35*(9 + j)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7591, -7592, -7629, -7726, -7907, -8196, -8617, -9194?\n\"Answer: -4*u**3 + 6*u**2 + 9*u - 7602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*x = 92, 0 = -4*f + 3*f + 3*x + 29. Let c be ((-16)\/(-1))\/((-16)\/(-272)). Suppose -273*t = -c*t. Solve 0 = -5*w - t - f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j + 5 = -17*j - 5*o, 3*j - o = 1. Factor 3\/2*t**3 - 3\/4*t - 3\/4*t**5 + 0*t**2 + j + 0*t**4.\nAnswer: -3*t*(t - 1)**2*(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2222, -7851, -16856, -29213, -44898, -63887, -86156?\nAnswer: -111681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170 - -168. Let j = 17 + -141. What is the common denominator of 61\/9 and (6\/(-72))\/(t\/j)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4*y + 3. Let f = y - -3. Let r(u) = -u**2 + u + 4. Let i be r(0). Solve i*g - 1 = f*h + 9*g, 0 = -5*h - 3*g + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -350 divided by -2962\nAnswer: 175\/1481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 49. Let z = -12 - v. Let u(i) = -i + 5. Give u(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1299, -2692, -4101, -5526, -6967, -8424, -9897?\n\"Answer: -8*z**2 - 1369*z + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(343) + 2 - sqrt(343)) + (sqrt(343) + sqrt(343)*-2)*-4 + 1)**2 + -5.\nAnswer: 392*sqrt(7) + 5532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*n + 32*n - 16*n - 1 + 12 as i*n + d and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 31*l**2 + 14*l - 238. Calculate the lowest common multiple of r(10) and 12.\nAnswer: 18012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 201\/(-54)*(-12 + (-150)\/(-10)) and -151\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149932553011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 + 5 - 8*x**3 + 2*x + 6*x**3 + 4*x**2 to z*x + q*x**2 + o*x**3 + s and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/378 - (0 - (-2)\/(-7))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**2 - 15*q**2 - 6*q**2.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i - 21. Let s be h(9). Let v be (s\/10)\/((-7)\/(-35)). Let g = 6 + v. Solve 3*w + 0*w = -g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1630123 or 1630130?\nAnswer: 1630123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 158*m. Let b(u) = 7*u**2 - 5*u**2 - u**2. Calculate b(a(s)).\nAnswer: 24964*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Let y = n + 0.2. What is the nearest to 1 in -1, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*b + 10*b + 4. Let r be 3 + -9 + b + 8. Solve -s - h - 19 = r*h, -5*s + 5*h = 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -19, -14, 3, 38, 97, 186, 311?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1425 + 16147. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.35 - -1.099. Let t = u + -1.45. What is t rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 9 + 7 = -v, 4*v + 82 = -5*o. Let d = 19 + o. Let a be (6\/(-3) - d)\/(-3). What is the closest to a in 0, -4, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/4)*c)\/c*((c\/(c\/c**5))\/c*c)\/c)\/((c*c**(-10))\/(c\/(c\/(c*c**4\/c*c*c)))) assuming c is positive.\nAnswer: c**(79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 811 + 6606 = 5*x, -1159 = -x + s. What is the remainder when x is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r**2. Let j(u) = -2*u + 3634. Calculate q(j(y)).\nAnswer: -28*y**2 + 101752*y - 92441692","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156656 by 4488.\nAnswer: 19582\/561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4 - 26*r**3 + 7*r**2 + 176*r - 156 = 0. Calculate r.\nAnswer: -26, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*h + 2*o - 3 = 77*h, 0 = 3*h - 4*o - 7. What is the highest common factor of h and 289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 8.42.\nAnswer: -8.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2551.3 to the nearest ten.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 11*t**2 - t + 2. Let r(v) = -725*v**2 - 25*v + 40. Determine 20*i(m) - r(m).\nAnswer: 945*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 6:25 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32319.4 * 15.5.\nAnswer: 500950.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a second in milliseconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(756)\/(sqrt(48)*-5).\nAnswer: -3*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.17 + 2.83. Which is the smallest value? (a) i (b) 0.4 (c) -5 (d) 4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2101031310 + 2023?\nAnswer: 2101033333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -z + 63538 - 70408 + 0*z as x*z + v and give v.\nAnswer: -6870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gir when three letters picked without replacement from {n: 2, s: 4, r: 4, g: 1, i: 1, l: 2}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 2:28 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 779496010?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -21*n**3 - 6*n**2 - 5*n + 9. Let b(h) = -2*h**2 - h + 2. Let r(w) = -3*b(w) + x(w). Give r(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(130)*1)\/(sqrt(10) + (-1*sqrt(810) + sqrt(810) + sqrt(810) - sqrt(810))).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/11))**(1\/2)*b*b**(-1\/2)*b**11\/b assuming b is positive.\nAnswer: b**(233\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17)\/2 - (-2)\/(-4). Let w(f) = f**2 + 8*f - 7. Let t be w(d). Let o be 1\/(-2) - 1\/t. Sort 3\/4, o, 0.\nAnswer: o, 0, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 2)*2999*-1. Suppose -6*x - w = -11*x + n, -605 = -x - 5*n. Suppose 4*q = -4*a + 3*q + x, 2*q = -2*a + 300. 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 third derivative of -37522*u**6*v**3 - u**2*v**3 - 2*u*v + 84*u + 4*v**3 wrt u?\nAnswer: -4502640*u**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 1239 + 1247, 0 = 4*v + 2*m - 28. Solve v*n + 3306 = 3342 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.45 - -23. Let k = 0.05 + s. Let y = 2994\/17 - 176. Which is the nearest to 0? (a) -0.5 (b) k (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-335)\/(-335))\/((2\/(-13))\/2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, l: 1, z: 3, d: 1}. What is prob of sequence lz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, w: 7}. Give prob of picking 3 w.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -581243, -2325003, -5231289, -9300101?\nAnswer: -14531439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.2*-1.665\nAnswer: 3.663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*(-3)\/(-27))\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -286.337 - 5889.041. Let n = -6181 - x. Let y = n + -0.058. What is y rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 84.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -764 - -768. Suppose 27 = 2*s + y, 0 = -15*s + 19*s - n*y - 60. Suppose 4*r - 52 = -4*x, 0 = -3*x - 4*r + 4 + 36. Which is bigger: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/((sqrt(84) - -3*sqrt(84) - sqrt(84) - sqrt(84) - sqrt(84))\/sqrt(7)) + -3)**2.\nAnswer: -6*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 12 = 0, -26*k = -29*k - 5*m + 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3829, -17060, -39111, -69982, -109673, -158184, -215515?\nAnswer: -281666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-555)\/(-30) + -14)\/((-2)\/(-4764)). What is x rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4\/2 - 70*x**3 - 10*x**2 + 280*x.\nAnswer: 5*x*(x - 28)*(x - 2)*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*f + 54015*f**2 + 24*f - 54017*f**2 - 52*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7810052 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2*o**2*v - 5*h**2*o*v*x + h**2*o*x + h**2*v + 7*h*o**2*v - o**2*x - 6*o*v*x wrt o?\nAnswer: 4*h**2*v + 14*h*v - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -175, -709, -1599, -2845, -4447?\n\"Answer: -178*l**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5 = -0*y + 5*u, 4*y - 60 = -4*u. Let i = -1 + -2. Let b(p) = -6*p + 4. Calculate the lowest common multiple of y and b(i).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 j, and 2 r when four letters picked without replacement from {j: 4, r: 5, i: 3}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 337, 1385, 3131, 5575, 8717, 12557?\nAnswer: 17095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 11. Is 1*66\/c*28\/56 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, 67, -53, -173?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -232*a**2 + 116*a**2 + 5 + 115*a**2 + 15*a in the form b*a**2 + r*a + y and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-348 + 344)*(-11)\/6. Factor -2\/3*p**3 - r*p + 14\/3*p**2 + 10\/3.\nAnswer: -2*(p - 5)*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5961 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -257 + 262. Suppose -15 = -y*p + 3*x, 3*x = 2*p - 6 - 0. Suppose 4*f = -n - 3, -9 + 2 = -4*f - 3*n. What is the closest to -0.2 in p, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40 - 5\/((-10)\/8). Find the common denominator of 41\/18 and 3\/c*1940\/90.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -71\/6, 1, -27?\nAnswer: -71\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**37*u**(14\/5)*(u**(11\/3))**(-18\/7) assuming u is positive.\nAnswer: u**(1063\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103\/152 - 27\/152. Factor 0*c + 1\/2*c**2 + n*c**3 + 0.\nAnswer: c**2*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + q**3 - 2*q**2 - 30*q - 3 - q**2 + 28*q to y*q**2 + s*q + k + d*q**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3 - 8\/3*j - 2\/3*j**2.\nAnswer: -2*(j - 1)*(j + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50 + -32053?\nAnswer: -32143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1157*u**4 - 84 + 586*u**4 - 578 - 1393*u**4 wrt u?\nAnswer: -7856*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - -19)*(4 - (-32)\/(-12)). What is the highest common divisor of 160 and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*j - 64 = 0. Let r be ((-30)\/8)\/((-6)\/j). Let s(l) = -4 + 13*l - 12*l + 5*l. Let z(h) = -2*h + 1. Determine r*z(o) + 3*s(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 2, -p - 19 = -v - 4*v. Let b be (-46 - 0)\/(12 + p). Suppose -5*u = -0*u - 115. Calculate the greatest common factor of u and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*j = -145 + 355. Sort -7, -3, j in ascending order.\nAnswer: -7, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274788 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - w = 175, -3*q + 2*w = 7*w + 127. Let v be (q*2)\/(-8) - 5. Solve -3*t + v = -3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -158*r**4 + 343*r**2 - 343*r**2 + (r**2 + 0*r**2 - 2*r**2)*(1 + 4*r**2 - 1) + 3*r**4 + 0*r**4 - r**4.\nAnswer: -160*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1274?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 2, 5, 1, 0, 40858 in decreasing order.\nAnswer: 40858, 19, 5, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 6.4443.\nAnswer: 11.4443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12177)\/1845*45\/63.\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2. Let j(q) = 108309*q. Calculate r(j(i)).\nAnswer: -23461678962*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -215091\nAnswer: 2\/215091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 630\/(-36)*16\/(-6)*24\/(-80).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.76 - -4.24. Suppose 20 = 4*v + 12. Let d be v\/(-8) - (-2)\/8. Which is the third biggest value? (a) s (b) -1\/6 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 33619880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 1. Let o be d(-3). Let z = 0.2 - 0.7. Let x = 0.6 + z. Which is greater: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 148, 0.05, -1\/8 in decreasing order.\nAnswer: 148, 0.05, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 921 a factor of 58269828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 76733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*v + 32*v + 27665 - 64*v.\nAnswer: -10*v + 27665","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64.946 + 62.946. Let g = -639\/7 + 91. Which is the nearest to g? (a) o (b) 1\/2 (c) 1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 192, 165, 132, 93?\n\"Answer: -3*l**2 - 18*l + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m**3 + 5*m**2 - 3*m + 3. Let i(v) = 4*v**2 + 17*v**3 - 14*v + 20*v**2 + 14 + 7*v**3. Let q(h) = 3*i(h) - 14*s(h). Suppose q(u) = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1203 - 1201. Let j be (-2)\/((-3 - 0) + 2). Let d(g) = 3 + 3*g - 5*g + 0*g**j - g**2. What is d(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6736 and 15156.\nAnswer: 60624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -343 - 120*d**3 + 292*d**3 - 159*d**3 to the form q + a*d**2 + l*d**3 + r*d and give q.\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(-1)*(n*n**8*n)\/n**(-4))\/(n**2\/(n\/(n\/n**(-1\/4))))**47 assuming n is positive.\nAnswer: n**(-371\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.337481683 and 33.9.\nAnswer: 34.237481683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 745.83mg in grams?\nAnswer: 0.74583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(4)*-3*-6.\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316689?\nAnswer: 3, 105563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/3 - 96416*d**2\/3 - 774702559*d - 1549276566.\nAnswer: -(d + 2)*(d + 48207)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38*d**3 + 78*d*s - 18285*s wrt d.\nAnswer: -114*d**2 + 78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**4\/24 + 3*t**3\/2 - 4*t**2. Let z be h(7). Let q(o) = o + 0 - 2*o**3 + 2 - z. Calculate q(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 20\/(-5) + 6 - -409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.034 and 3.\nAnswer: -0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 0*k**2 + 0*k**3 + 5 + 1\/180*k**5 - 1\/18*k**4 - k. Factor n(x).\nAnswer: x**2*(x - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x. Let i(o) be the second derivative of -o**4\/12 + 234*o. Determine 6*h(l) - i(l).\nAnswer: l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - t = 271683, 0 = -m + 2*t - 0*t + 67926. Let s(g) = m - 3*g**2 - 67920. Let i(u) = 8*u**2. Give i(s(q)).\nAnswer: 72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9416368 to the power of 1\/2, to the nearest integer?\nAnswer: 3069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -284*u = 3*q - 285*u - 5, 0 = -5*q + u + 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 13 + 33*k**2 - 18*k**3 - 5.\nAnswer: -18*k**3 + 33*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 43\/10, -10, 0.4 in decreasing order.\nAnswer: 43\/10, 4, 0.4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**3\/13 - 3858*w**2\/13 + 425394*w\/13 + 5143490\/13 = 0.\nAnswer: -2033, -11, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116*w**3 - 537*w**2 - 733*w + 13 wrt w.\nAnswer: 696*w - 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n**2 - 4*n + 7. Let g be b(5). Let p(x) = -g*x + 1 + 75*x + 1 + 65*x. What is p(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 k when two letters picked without replacement from {t: 6, k: 2, h: 1, n: 5, g: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 20 - 7*w - 10*w + 35.\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -13*d - 36 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -22023 * -0.1879\nAnswer: 4138.1217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14080 (b) -1\/5 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 233475 and 300.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122322 - 3?\nAnswer: 122313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -29902 (base 10) to base 15\nAnswer: -8cd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**4\/3 - 13046*q**3\/3 + 42549529*q**2\/3 = 0.\nAnswer: 0, 6523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*a + 36, -5 = -5*a + 2*f + 12. Suppose a*l + 35 = -15. Let v = l + 24. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -2 + -2 + 4 + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 320, 2400, 8052, 19064, 37224, 64320, 102140?\nAnswer: 152472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -170, -159, -152, -149, -150, -155, -164?\n\"Answer: -2*k**2 + 17*k - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17, -158, -537, -1274, -2489, -4302, -6833, -10202?\n\"Answer: -20*l**3 + l**2 - 4*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from mdqmduvuvvsmqmmvm?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.36 + -0.36. Let q = l + -7.7. Let z = 2.2 - q. What is the nearest to -0.1 in 5, z, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6975416?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 4*g + 5. Let j be n(-2). Suppose j*p = -3*b + 17, 2*b = 3*b - 2*p - 24. Solve -13*v - b = -20*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 + -34. Calculate the greatest common factor of h and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 339362664.21669 + 0.3.\nAnswer: 339362664.51669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2, -5*y + 3*c + 1 = -3*y. Let j be (-2 + y - 1) + 13. Suppose 2*n + 0*n = j. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r + 0*r + 0*r)*(r + 2*r**2 - r - r**2 + r - r + (0*r + 0*r - 2*r)*(6*r - 3*r - r)) to x*r**2 + t*r + y*r**3 + q and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10212321 (base 4) to base 13.\nAnswer: 878a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 768 - 453. Let m = 343 - g. What is the remainder when m is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 + 3*n**3 - 2*n**3. Let v(c) = -24*c**3 + 18. Let a(d) = -48*d + 191. Let j be a(4). Let t(o) = j*v(o) + 6*q(o). Differentiate t(p) wrt p.\nAnswer: 54*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 7405 = 13*j - 12*j, 5*j = 3*p - 4421. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-4))\/(4 - 56\/16))\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 10 + 2)*(-4*l + 4*l + 2*l**2) + (l - 1 + 1)*(4 - 2*l - 4).\nAnswer: -26*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - d - 6. Suppose -4*o + 2*o = -3*g + 137, d*g + o = 82. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55009 by -55009.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - i + 14. Let r be s(0). Let u be (3 - 1) + (49 - 9). Calculate the greatest common divisor of r and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.029 - -8.082. Let j = 134.597 + -135. Let y = j + r. What is y rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l - 20 = 23*l. Suppose 4*i - 12 = -l*g + 16, 0 = 3*i + 2*g - 14. Suppose 5*b = i*b + 399. Is b a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 8:45 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2032391 and 8215.\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01408 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -56) + -42 - (-1 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 15\/4)*-4. Suppose 3*x + 4*r - 13 = 0, r + 13 = 4*x + 2. Let i = w - x. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1802 and 38\/159.\nAnswer: 5406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (((sqrt(104) - (sqrt(104) + sqrt(104)*4) - sqrt(104)) + sqrt(104) + sqrt(104))*6 + sqrt(104)))*4)\/((-1*(sqrt(40) + sqrt(4000)))\/sqrt(5)).\nAnswer: -72*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-3*1\/(138\/(-10))*596\/(-1490)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, h: 2, o: 4, q: 6}. What is prob of picking 1 h and 2 o?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 = -39*c - 41 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 3)*(h**3 + h**3 + 0*h**3) - h**3 + 7*h**3 + 9*h**3.\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence atu when three letters picked without replacement from yauttwday.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert b625b (base 13) to base 4.\nAnswer: 1100001113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 9 - 7 = 0, 0 = -5*f - x + 1. Let p be 9\/(-5) - 1\/5. Put 0, f, p in decreasing order.\nAnswer: f, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21022112201002 (base 3) to base 2.\nAnswer: 1110110101010010010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 82455\/(-950) - 2 - 2\/(-5). Let d = 177\/2 + b. Put 5, -0.4, d in ascending order.\nAnswer: -0.4, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/32 of a day?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11835, 23555, 35265, 46959, 58631, 70275, 81885?\nAnswer: 93455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26419978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4 = t + 3*n, 3 = -n. Let d be (7*t)\/(-2) - -3. Calculate the greatest common divisor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**19*z))**(-10\/3)*(z*z**1\/z*z)\/z**(-7\/6) assuming z is positive.\nAnswer: z**(133\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - 3*w. Let y be f(2). Let z = y + 3. Suppose g - 16 + 1 = z*v, -3*g + 15 = -5*v. Solve g = 3*b - 4*x - 3, 3*b - x = b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1282 is divided by 107.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 947*f + 945*f - 1897*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 983980490 a multiple of 3514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r**2 - 13*r**2 - 28*r**2 - 11*r**2.\nAnswer: -42*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 13) to base 3.\nAnswer: -1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5857788 and 3.\nAnswer: 5857788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1429*p + 3 - 1413*p - 3.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1240796070 to the nearest integer?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, x: 1, j: 4, q: 4, e: 1, h: 1}. What is prob of sequence qqme?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q - 1. Let j(l) = 1 + 2*l - 1 + 3. Let s(n) = n + 2. Let u(h) = -3*j(h) + 4*s(h). Let c(t) = t + 1. Let z be c(-3). What is z*y(m) + 3*u(m)?\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 189.8 + 44.2. Let p = 233.6 - c. What is the second smallest value in -3, -0.3, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87\/6 + (-4)\/8?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80500 and 460?\nAnswer: 80500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40673495279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -78, -0.2, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 202957 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/(-25)*(-20)\/6. Let r be (-2 + (-3 - z\/(-1)))*3. Does 15 divide (-10*10)\/(r - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -6\/11, -5\/2 in decreasing order.\nAnswer: 2\/3, -6\/11, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -113*b**2 + 212*b**2 - 110*b**2. Let w(v) = 21*v**2. Give w(i(n)).\nAnswer: 2541*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1204499 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d (base 16) to base 14.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 5*b - 3. Let x be o(6). Let c = x + 19. Solve -2*v + n + 2 - c = 0, 12 = -4*v + n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*l + 5*b + 1, 4*l = 5*b + 17. Suppose -5 = -l*k + 7. Suppose 2*m - 4 = k*m. Does -1 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, -5 in descending order.\nAnswer: 2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 921, 1900, 2879, 3858, 4837?\nAnswer: 5816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200100323 - -3320?\nAnswer: 200110303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*x - 176*x + 2970 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**2 + 2*v - 1. Suppose 4*f = -2*t - 6, 0 = -4*f + 2*t + 6 + 8. Let i = 458 - 457. Let c(q) = q**2 - q + 1. Give f*b(w) + i*c(w).\nAnswer: -3*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/288 and -121\/84.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7234, -8048, -8876, -9724, -10598, -11504, -12448, -13436?\n\"Answer: -w**3 - w**2 - 804*w - 6428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/81 and -17\/216.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 10648*t - 404607. Give k(38).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jaj when three letters picked without replacement from {j: 6, a: 13}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -9533 + 1028. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-2) - 5\/((-15)\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 4007841*u**2 + 1338503666409*u - 41497465283253.\nAnswer: 3*(u - 31)*(u + 667989)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -5\/122 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -768, -5 in ascending order.\nAnswer: -768, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 6. Let r = 0.089229 + -0.389229. What is the closest to s in 0.58, -1, r, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 176232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/294528 and 43\/826?\nAnswer: 2061696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + a + 70 = 0. Let m = 19 + a. Solve 4*l = m*j - 27, -2*j = -j - l - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 + 7*h**2 + 15. Let w(n) = n**3 - 4*n**2 - 8. Determine -2*j(g) - 5*w(g).\nAnswer: -g**3 + 6*g**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.12? (a) -0.2 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35*(-1)\/(75\/15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/452510 and 16\/147445.\nAnswer: 360650470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/5)\/(z*z\/z**29*z*z)*(z\/(z**(4\/11)*z))\/(z*(((z*z**(5\/2)*z*z)\/z)\/z)\/z*z) assuming z is positive.\nAnswer: z**(2237\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 38.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-85)\/68)\/(2\/(-8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lc when two letters picked without replacement from {c: 1, i: 2, m: 5, y: 1, r: 6, l: 1}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*-2)\/((-12)\/24). Solve w + 14 = -o*j, 2 = w + 2*j + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -49436\/5, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1651 or 1650?\nAnswer: 1651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8925 is divided by 2956.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.657 + 0.857. Suppose w + 4*d = 3*d - 3, 43 = -5*w + 2*d. What is the second smallest value in w, t, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + q - 2. What is the closest to -2 in -1, q, 2\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336505 - -1?\nAnswer: 1336506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*p = 101*p - 254*p + 5370 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 65247 = -14*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h + 22*h - 4*h + 2*h**2.\nAnswer: 2*h**2 + 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 9 = -4*k + 2*k, q - 33 = -4*k. Suppose k*r - 18*r = 0. Let m(w) = w**3 + w - 27. Determine m(r).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -397343\/2481 <= -161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(-3)\/((-27)\/15). Put a, -5, -4 in decreasing order.\nAnswer: a, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 4\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-24)*3*-3)\/(17\/204)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -582 - -622. Suppose -5*g + 12 = -2*g. Suppose 2*f + g = 3*f. What is the lowest common multiple of f and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10401 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/8, 4, -0.4, -0.1, 0, -40\/27, 898?\nAnswer: -40\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 50 = 2*j. Let c be ((-26)\/j)\/((-2)\/(-10)). Solve c = -4*g + 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 283*j + 4. Let s(u) = u**2 - 4. Calculate the lowest common multiple of w(0) and s(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26.1 - 25. Let a = 0.099 + 0.001. Let m = a - u. Which is smaller: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(117)*2 + -6*(sqrt(117) + sqrt(117)*4))\/(((2*sqrt(144) - sqrt(144)) + sqrt(144))*2 + sqrt(144) + (sqrt(144) - sqrt(144)*-1)*-2).\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -3\/3259 (b) -0.02 (c) -2\/17 (d) 3 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/130756 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2*sqrt(567) + sqrt(567) + sqrt(567) + 1 - (1*(-1 + sqrt(567)) + sqrt(567))))**2 + -2*(2 + -3*sqrt(7) - (sqrt(700) + -3)).\nAnswer: -118*sqrt(7) + 2274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u. Let g(s) = 5*s. Let n(l) = -4*g(l) + 22*y(l). Let b(j) = 11*j - 1. Calculate b(n(q)).\nAnswer: 22*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*w - 17 = 0, -w + 6 = 1. Suppose 0 = -3*i + 4*i - f. Solve 0 = 4*g - i*k - 36, -5*g + 2*k - 3*k = -21 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**3 + 80*q**2 - 1580*q + 2800 = 0. Calculate q.\nAnswer: -28, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 4:43 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 15 + 17*o**2 - 9 - 6 + 0*o**2. Let g(s) = 2*s**2 - 2 + 2. Determine x(g(z)).\nAnswer: 68*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -8*h**2 + h - 1. Let r be n(1). Let z = -15 - r. Let k be z\/(35\/(-10)) - -3. Calculate the greatest common factor of 2 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -30 + 0*l**2 - 2*l - 1\/12*l**4 + 0*l**3. Let z(f) = 6*f**2 - 2*f**2 - 3*f + 4*f**2 - f**2. What is d(z(p))?\nAnswer: -49*p**4 + 42*p**3 - 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jszjszznnsjszznn. What is prob of sequence ssj?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*k - 1)*(-28 - 15 + 3)*(-2 + 4 - 1) as r*k + v and give r.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 5*k)*(-3 + 1 + 4) + 2*k - 1 + 1 as d + z*k and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200, 424, 698, 1046, 1492, 2060, 2774?\nAnswer: 3658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76963488 divided by -48.\nAnswer: -1603406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 1:42 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 4 + 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/10*5\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15821 + 3187 = 8*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. Let j be 123\/11 + o\/(-11). Solve 5 = -4*s - j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/17 + 48*g**3\/17 + 332*g**2\/17 + 528*g\/17 + 242\/17.\nAnswer: 2*(g + 1)**2*(g + 11)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -34. List the prime factors of (-2 - (-2)\/a) + 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 24 - 56 + 4*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3604*s - 309909. What is u(-86)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -268, -289, -312, -337, -364, -393?\n\"Answer: -l**2 - 18*l - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = n - 0. Is 129\/n + (-2)\/(-8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 + 2*n**2 + 6*n**2 + (0 + 2 + 0)*(-2 + 2 - 3*n)*(-38*n + 0*n - 27*n) to j*n**2 + w + y*n and give j.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6805 times 18?\nAnswer: -122490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -0*a + 12. Let x = -1 + 1. Suppose -4*l**4 + l**3 + x*l**a + 3*l**4 = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 68e3 + -4?\nAnswer: 68df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10101 (base 2) to base 15\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnc when three letters picked without replacement from qcnqnkd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 3, -35342 in decreasing order.\nAnswer: 18, 3, -35342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 3 - 25 = 4*m - 48, 18 = 5*m - 2*t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*l**5 + 5*l**5 - 7*l**5 + 3 - 3 + l**5 + (l**2 + 2*l**2 - 2*l**2)*(-3*l**3 + 4*l**3 + l**3).\nAnswer: 12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -7*q + 1299. Calculate a(51).\nAnswer: 942","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 6 = -4*g. Suppose 0 = -g*h + h + 32. Let a(k) = -k**2 - k + 9. What is the smallest common multiple of h and a(0)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*o + 74 = -2*b, 110*o + 4*b + 0*b = 113*o - 148 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, g: 5}. Give prob of sequence ggi.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7693 is divided by 1281?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6041119*i**3 - 3020513*i**3 + 7*i**2 - 3020609*i**3.\nAnswer: -3*i**3 + 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -359, 52, -11 in decreasing order.\nAnswer: 52, -11, -359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j - 15. Let g be (4\/((-60)\/(-117)))\/((-13)\/65). Let x be g\/(-12) + 0 + 1\/(-4). Let m be p(x). Solve n = -w, 2*w + 29 = 2*n + m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(4\/64)\/((-3)\/(-36)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3298400 = 22*h + 97*h + 41*h. Is h > 20614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 12054535.29s?\nAnswer: 19.931440625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 134*l - 4702. Determine n(35).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10213, -42001, -94963, -169099?\nAnswer: -264409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28862 or 28861?\nAnswer: 28861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -1496*x**3\/3 - 3*x**2\/2 - 22*x + 1304. What is the second derivative of n(s) wrt s?\nAnswer: -2992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 + 34*g - 88. Let c be f(21). Let m = c - 1386. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 7863 + 693. Let n = -629 + s. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 658.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16*(-66)\/704*(-2)\/(-8)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 969523196664 plus 0.0184?\nAnswer: 969523196664.0184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 212000?\nAnswer: -211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3854\/(-738) + 60\/270\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 97 + -5?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/7 - 78*b.\nAnswer: 2*b*(b - 273)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -583 = 49*x + 379 + 704 + 343 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111010111010010 - 100111000?\nAnswer: -1111011100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123008.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5194.24 decades to millennia.\nAnswer: 51.9424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 2:42 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -370934 and -2.4537?\nAnswer: 370931.5463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -9*u + 6. Give w(-19).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + (-4 + 0 + 0 + sqrt(1573))**2 + -5).\nAnswer: -528*sqrt(13) + 9504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45.8 - -46. Let y = t - 4.2. Let p = y - -4.00125. Round p to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 2, -4, 0.4, -3, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a kilometer in meters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*u**2 + 7*u**2 - 5 + 3*u**4 + 1 + 0 - 4*u + 10*u**3 = 0. What is u?\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -165056 - -320356. What is s rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1260 and 187\/962640?\nAnswer: 962640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1342 times 0.01\nAnswer: 13.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 17. Calculate the smallest common multiple of 4\/(-14) - 116\/(-14) and a\/5 + 144\/15.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 16. Let t(v) = -5*v + 10. What is t(s)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.38802 rounded to 0 dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 43, -14, -109, -242?\n\"Answer: -19*q**2 + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {u: 2, b: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3*n**2 + 1774*b**3*n + 243*b**2*n**2 - 8*b**2*n - 19*b**2 + b*n + 15087*n**2 - 1 wrt n.\nAnswer: -2*b**3 + 486*b**2 + 30174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6265.3 + -307374170.\nAnswer: -307380435.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115574192?\nAnswer: 2, 3, 1069, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.00737 times -32\nAnswer: 0.23584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -110, -158, -4, 9, -3, -2 in descending order.\nAnswer: 9, -2, -3, -4, -110, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 12:54 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3283799.\nAnswer: 31, 105929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/53524 and 33\/25364.\nAnswer: 339395684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -2. Suppose 2*s = 3*q - 13, s + 4*q - 27 = -6. Let j(k) be the first derivative of k**2\/2 + k - 1. Let t(y) = 4*y + 5. What is s*t(a) + u*j(a)?\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w**4\/11 - 3098*w**3\/11 + 192670*w**2\/11 - 2282686*w\/11 + 636540\/11 = 0. Calculate w.\nAnswer: 2\/7, 15, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 5*q = -5, 9*u + 5 = 16*u - 5*q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -125 divided by 4\nAnswer: -125\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/5*3*120\/(-96)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 35538700?\nAnswer: -177693500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v**2 + 8*v - 2. Let q be g(-1). What is the closest to -2\/9 in -28, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.1 + -9.2. What is the smallest value in -2\/23, -4, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/12, 3, 1?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 6*i + 3. Suppose -t = 3*t. Suppose t = -b - b. Let h = b - 3. What is w(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m + 3. Let f(p) = 4*p + 2. Let b(s) = -4*f(s) + 3*z(s). Let w(i) = 6*i - 5. Suppose 3*q + 4 = 2*q. Calculate q*b(h) - w(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewwweeewwwwwwwew. What is prob of picking 1 e and 2 w?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70972*c**6 - 8*c**2 + 2206 wrt c?\nAnswer: -8516640*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 + 5*l**2 + 7*l - 18. Is g(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 0*r - 13*r**2 + 7*r + 2 - 2*r**3 - 8. Let z be v(5). Is (5 + 0)*z\/(-35) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2799 and 967959.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 11:30 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5453200 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1614 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1200*y + 6712 - 28312 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 30*a + 2 - 131 + 45 + 40.\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g - 2*g)*(18 + 175 - g + 49).\nAnswer: g**2 - 242*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a decade?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + (2 - -1) + 0. Let g be -3 + j - -3 - -7. Let l(w) = w**2 - 2*w - 2. Does 9 divide l(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**2 - 411*r - 414 = 0.\nAnswer: -1, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k. Suppose -4*m + 2*q = -16, -4*m + 21 + 1 = q. Let g = 24 - 22. Let s(f) = 5*f + 2*f**g - m*f. Calculate n(s(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 3093024*f**2 - 6186051*f + 3093026.\nAnswer: (f - 1)**2*(f + 3093026)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2515357747?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45589, 4, -202 in descending order.\nAnswer: 45589, 4, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*r - 13. Let u(k) = k**2 + 1. Let j(q) = -22*q**2 + 21*q - 11. Let h(n) = -j(n) - 6*u(n). Let s(i) = 3*i**2 - 4*i + 1. Determine r*h(x) - 11*s(x).\nAnswer: -x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyd when three letters picked without replacement from {y: 2, q: 1, d: 4, u: 1, o: 2, t: 4}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-4)*l)\/l)**12 assuming l is positive.\nAnswer: l**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 5:37 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/4 - -5)*49\/((-392)\/(-80))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 25*x - 3. Let m be v(3). Let o be m\/(-3) + (0 - 2). Let u = o + 37. What is the remainder when u is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2. Let u = g + -1. Let x(s) = -4*s**2 + 2*s - 2. Let v(r) = -r**2 - 1. Let w(i) = u*x(i) + 2*v(i). Find the second derivative of w(b) wrt b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9.001467km?\nAnswer: 9001467000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122210011000200 + 1?\nAnswer: -122210011000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 2)*(-7 + 0). Let v(z) = 2*z - 51. Let i be v(26). Let l be (-66)\/33 - i\/(1\/(-4)). Is g at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 88\/25543?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) 0.1 (b) 2\/17 (c) -7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -148888\/7 + 21270. Let z = -0.2 - -0.3. Which is the fourth biggest value? (a) z (b) -4 (c) p (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 48, 72, 96, 120?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0638 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 309, 462?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6781092 to the nearest integer?\nAnswer: 2604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + k - k)*(-31 + 178 + 5)*(-3*k - 2*k + 3*k).\nAnswer: -304*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/241314 and 9\/1406.\nAnswer: 4584966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 258\/(-602) - 1\/((-7)\/1270). Solve 182*z = a*z + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3771390 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-158)\/(-8) + 2\/8. Let l(a) = -a**3 + 7*a**2 - 2*a. Let j be l(6). Let q be 5*j\/(-150)*50\/(-4). What is the greatest common factor of q and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**5\/90 - 53*j**4\/9 - 11236*j**3\/9 - 1191016*j**2\/9 - 618*j. Let x(l) = 0. Calculate l.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3831283307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11301231330 (base 4) to base 8.\nAnswer: -5615574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 590\/(-18) + (-18)\/81. Which is greater: m or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 34264994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-63)\/(-6))\/((-11)\/5) and 305\/(-6) + (-2)\/(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1963 - 742. Is z a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3853229 is divided by 1030.\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4936986 rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -3. Let n = y + -5.1. Let h be (-6)\/(-21) - (-4)\/(-14). Which is the third smallest value? (a) n (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 29. Calculate the remainder when p is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o - 7*o + 14 - 8*o + 31 - 4*o. Let z be v(0). What is the highest common divisor of z and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 2:31 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 43. Let s be (v*45\/(-20))\/((-2)\/(-32)). Let o = s + 208. What is the highest common factor of 40 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36\/(-16 + 4) + (0 - -7). Sort -3\/32, -5, n, 0.2, -1\/4 in decreasing order.\nAnswer: n, 0.2, -3\/32, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 11:38 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 332*n - 1215. Calculate v(4).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 36 = -z, u = -6*z + 5*z + 48. What is the highest common factor of 418 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -495, 7, 0 in decreasing order.\nAnswer: 7, 0, -1, -5, -495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**5\/20 + c**4\/12 - 55*c**3 + 81. Let p(o) be the third derivative of f(o). Let g(s) = 2*s**2. Give p(g(w)).\nAnswer: -12*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1150.44 - -1129. What is q rounded to 0 dps?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -663 + 662. Sort 0.1, i, 0, 90 in descending order.\nAnswer: 90, 0.1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15.67 and 8.\nAnswer: 23.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = p + 21. Let s be (1 - 16\/10)*1. Which is the closest to 4? (a) p (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d + 3*d**4)*(-61*d - 60*d - 2 + 120*d).\nAnswer: -3*d**5 - 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.521765t in grams?\nAnswer: 7521765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Let o be 1\/y + (-2)\/4. Suppose o*c - 30 = -2*c - z, 0 = 3*c + 4*z - 55. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -619.3 + 619. Sort l, 2.1, 2 in descending order.\nAnswer: 2.1, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14831763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 84 = -13*t. Suppose -z = 2*l - 3*z - 2966, -t*l + z + 5929 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 171627623.\nAnswer: 858138115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -150, -4, 25, 4, -5 in increasing order.\nAnswer: -150, -5, -4, 1, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4412.726864 plus 4?\nAnswer: -4408.726864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 - 3*z**2 + z + 3*z**2 + z**2 + z**3. Give t(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**0)*h)**27)**(4\/13)*(h**(-2\/11)\/h**(-2\/7))**(-2\/7) assuming h is positive.\nAnswer: h**(58004\/7007)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4175 + 4174.5. Let p = -8 - -3. Which is the smallest value? (a) 2\/115 (b) p (c) r (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 3*y - 15 = 0, 57 = -5*w - 3*y + 72 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -1. Suppose m*t = -4*g + g + 604817, -4*t = -8. Let d be g\/(-6) - 4\/(-8). Round d to the nearest one thousand.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/4*8\/6. Suppose -f + d + 0 = -w, 0 = -4*d. Let j(r) = 35*r + 212. Let y be j(-6). Solve 0 = 4*s - y - f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*y - 2*t - 4, -3*t - 3 = 2*y. Let i = 3 - 3. Suppose i*x = -2*x. Solve -3*s - y*f + 6 = -4*f, x = 3*s + 3*f - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 12*t**2 + 6*t - 141. Suppose -5*d - 83 + 13 = 0. Does 9 divide z(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 2:55 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5168.1 - -5168. Which is the smallest value? (a) 3 (b) -12 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38368, -76741, -115128, -153535, -191968, -230433, -268936, -307483?\nAnswer: -346080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 2*g + 0*g**6 + 0*g**4 + 0*g**2 + 1\/3*g**3 + 0 + 0*g**5 - 1\/42*g**7. Find the second derivative of o(c) wrt c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 6.1. What is the nearest to -2\/5 in 4, i, -6, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 3 - 2)\/(-4). Let n = -0.3 - 10.7. Let l = n - -10.9. Which is the nearest to l? (a) 2\/7 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.4 + -22. Let r = c - -8. Let u = -1.6 - r. Put u, -2, 4 in increasing order.\nAnswer: -2, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*x + 12 = -3*v, -2*x + 6 = -5*v. Suppose -2*s - 6 = v, -5*b = -b + 5*s - 21. Solve -b + 0 = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -156, -15, -1, 4 in increasing order.\nAnswer: -156, -15, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + -3*(-93)\/(-72). What is the smallest value in 0, 2\/7, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**5\/5 + 11*t**4\/24 - t**3\/6 - 13*t**2. Let w(r) = -r**2 - r. Calculate 2*j(x) + 22*w(x).\nAnswer: 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 28*j**2. Let g(o) = 1968*o. Calculate f(g(w)).\nAnswer: 108444672*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1775 and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 14 = -2*c - 18, 4*o + 4 = -2*c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*i**4 - 6*i**2 - i**3 + 3*i + i + 0*i**3 + 6*i**5 + 49*i**4 wrt i.\nAnswer: 360*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**6*q**(1\/11))**(-43)*((q**(1\/2))**(2\/47))**(-2\/41) assuming q is positive.\nAnswer: q**(4474472\/21197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**2 + 0*i**2 + 4*i**2)*(-5*i + 12*i - 4*i)*(2 - 4 + 4) as u*i + n*i**3 + k*i**2 + h and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0548758 decades in millennia?\nAnswer: 0.000548758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -18*z**7\/35 - 9*z**6\/5 + 3*z**5\/5 + 10*z**4\/3 + 8*z**3\/3 + 446*z**2. Solve c(i) = 0 for i.\nAnswer: -2, -1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4251)\/257894)\/(1\/7)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*1 + -5 - sqrt(500) - (-1 + sqrt(500) + sqrt(500))*6)**2 + -5 + ((3 + sqrt(500))**2*-5 + sqrt(500))*1 + -3.\nAnswer: -530*sqrt(5) + 69448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -346698, -693363, -1040026, -1386687, -1733346?\nAnswer: -2080003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-80)\/11580*282\/5. Let u = c + -2\/193. Suppose -2*m - m = 9. Sort 0.1, u, m in increasing order.\nAnswer: m, u, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9913738 times -0.5\nAnswer: -4956869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (81\/(-594)*-55)\/(45\/60)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 40 + 184. Calculate the remainder when q is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -79896840.2 and 0.126.\nAnswer: -79896840.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 329263 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g*g*g*g**7*g*g*g)\/g)\/g**(-3)*(g*g\/g**4)\/g**(-1\/8) assuming g is positive.\nAnswer: g**(121\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6227 is divided by 1572?\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11741234 or 164377291\/14?\nAnswer: 164377291\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + g - 3*g + 25 = 0, 0 = -b - 5*g + 30. Suppose b*n - 5*t - 86 - 14 = 0, -2*t = 3*n - 55. Sort n, -2, 3.\nAnswer: -2, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t - 952. Let j(f) = -f + 318. What is -11*j(w) - 4*z(w)?\nAnswer: -w + 310","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 360501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 71437 to the power of 1\/2, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - q - 15. Let z be g(5). What is the highest common factor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1723705776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 3*w - 3*w + 69 + 11*w. What is the tens digit of c(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -412 + 496. Find the third derivative of 9*t + 11*t + c*t**2 + 50*t**2 - 20*t - 161*t**3 wrt t.\nAnswer: -966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 2*v + 4*v. Let s(a) be the first derivative of 2*a**3\/3 - 2. What is s(h(b))?\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 62\/4*2\/1. Let b = 36 - k. Solve b*a + 25 = -5*z, 5*a = 2*z - 10 - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**3 + 19*v - 9*v**3 - 3*v**2 - 2*v**3 + 6*v**3 to the form b + p*v + i*v**2 + w*v**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 3*l**2 + 11*l - 45. Give i(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1251*r**2 - 5*r - 85.\nAnswer: -2502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 3\/8, 6, -0.0507, 0 in descending order.\nAnswer: 6, 3\/8, 0.02, 0, -0.0507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84 - -87. Let l = -0.4 - -6.4. Let d = l - 10. Sort -5, t, d in descending order.\nAnswer: t, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109826 and 57998.\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -8150 (b) -0.5 (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from {i: 5, k: 5}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9\/385962458?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 + 4 - 4 + (-1 + u + 1)*(4*u - u - u) + 3*u**2 + 0 + 0)*(u**3 + 0*u + 0*u).\nAnswer: 8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/8)\/((-52646)\/153152).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2848)\/(-28) + (-4)\/(-14) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 194, -46, -286, -526, -766?\n\"Answer: -240*a + 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = 2*v. Let l be 0 + (-2 - (-64)\/30). Which is the second biggest value? (a) 0.3 (b) v (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 980*x - 985.\nAnswer: 5*(x - 1)*(x + 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 4) to base 7\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-71)\/(3621\/(-765))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 3. Suppose 210 = u*x + 14. Suppose 2*p = -2*m + 22, -2*p - 3*p - 2*m = -x. Solve 0 - p = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m - 6. Let y be b(-2). Let r = -26 + 14. Let t be ((-10)\/(-3))\/((-8)\/r). Solve 20 = 5*h - 5*a, -t*a + 10*a = -y*h - 27 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 667 is divided by 71?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 0*q**2 + 4 + 8*q - q**2 - 13. Suppose 5*p - 4*p - 187 = 0. Suppose 0 = -2*u - 175 + p. Determine t(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15146605?\nAnswer: 5, 53, 61, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, -5, -2, -51.\nAnswer: -51, -7, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 9. Let z be x(6). Let d be 0 - ((z - (-3 - 4)) + -2). Let t be (-5 - (-13)\/3)*(-3)\/d. Let g(l) = 19*l**2 - 2*l - 1. Give g(t).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/13 + 26308\/26. Suppose -3*d - 5*m = -2*m + 1020, 3*d + s = -m. Is 28 a factor of (d\/18)\/(2\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 m, and 1 x when three letters picked without replacement from {h: 3, m: 4, x: 2, u: 1, j: 4, o: 1}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -3 - (5 - 1) - (-34111 + 6\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 32.47, -1\/12?\nAnswer: 32.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4459088 days to hours.\nAnswer: 10.7018112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 8 + 16*t**3 - 9*t**3 - 6 - 3.\nAnswer: 7*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1539 - 331?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1476919224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 10*c**2 - 2*c + 8. Suppose -58 = 6*r - 70. Let b be (-1)\/(r\/(-15))*(-4)\/(-3). Calculate n(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1547 is divided by 396?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -7*g**2 - 15*g + 6. Give x(-10).\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 386210\/340 + (-3)\/1. Let v = f + -1133. Is 1 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d2d6b (base 15) in base 3?\nAnswer: -1020221012002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 4*f**2 - 3*f + 5*f**2)*(-193*f - 455*f + 158*f).\nAnswer: -490*f**3 + 980*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.153*-0.4\nAnswer: -0.0612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -1\/4814?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -9*y**3 - 13*y**2 + 7*y - 5. Let f(d) = -4*d**3 - 6*d**2 + 4*d - 2. Let u(j) = 5*f(j) - 2*x(j). Determine k so that u(k) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -275671, -551306, -826965, -1102660, -1378403, -1654206, -1930081?\nAnswer: -2206040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/(-20)*10\/(-30)*(-456)\/(5187\/(-91))?\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**2 + 20*a - 37. Let k be s(14). Suppose -2816 = -7*x + k. List the prime factors of x.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/151 + 309\/1057. Suppose -4*g + 5*f = -9 - 16, g - 22 = -4*f. Let o = g + -11. Which is the nearest to o? (a) w (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 9 = -s, s + y = 19 - 2. Solve 3*m + 4 + 1 = -5*c, -m + 4*c = s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3169888409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4124532 and 2338.\nAnswer: 4821577908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -295021 divided by 2323\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 34*q + 7. Let d be w(1). Let p = d + -39. What is the highest common divisor of 6 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f + 4. Let v be t(-4). Let p = v - -4. Suppose 4*g + 3*x - 15 = p, -x + 6 = 1. Which is the closest to 0.1? (a) 0.5 (b) 0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**3 + 648194*j**2 + 23108*j - 20 wrt j.\nAnswer: -12*j + 1296388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -5, 2\/5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 156, -1\/2, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, r: 1, m: 3, u: 3}. What is prob of sequence mmru?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4)*2*-3. Let o be -1*((-9)\/(-3) - z). Suppose -3*b + 5*b - 48 = o. What is the remainder when 45 is divided by b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 4 = -9*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -0.5, 0.1, -1.1 in ascending order.\nAnswer: -4, -1.1, -0.5, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*j = -a - 9797, -4*a = -3*j - 39197. List the prime factors of a.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -3\/2, 3, -3, 0.6 in descending order.\nAnswer: 18, 3, 0.6, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 23*w = -224. Calculate the least common multiple of 238 and w.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 + 17*n + 23. What is k(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220 - 12211222?\nAnswer: -12211002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**3 - 9*m**2 + 45*m - 199. Determine c(5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u**2 - 33*u. Let k(p) = -2*p**2. What is g(k(i))?\nAnswer: -28*i**4 + 66*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 5:01 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**8\/r*r)\/(r*(r\/r**(1\/9))\/r))\/((r\/(r*r*r**(-3)))\/r)**(-2\/111) assuming r is positive.\nAnswer: r**(2374\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1 - -3) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 21108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 852867 to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6)**(1\/9)\/(t*t**(-7))**40 assuming t is positive.\nAnswer: t**(722\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52075126?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 36 = n, -4*n - 31 = -2*v - 3*v. Suppose v*s - 409 = -38. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4542381 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1 - 3 - j + 4 + 5. Let a be p(4). Solve 5*l - 17 = a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/13 (b) -0.4 (c) 52 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8032)\/(-4) - 3 - 5. Suppose 0*h - 10*h = -l. Suppose 24*r - 20*r = h. What is the greatest common divisor of 550 and r?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from {e: 3, k: 6, w: 1, h: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26938, 26498, 26058, 25618, 25178?\nAnswer: 24738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 14*p**4 + 99*p**3 - 539*p**2 - 96*p + 1332 = 0.\nAnswer: -74\/7, -3\/2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2. Let o(x) = -372*x + 31. Let r(m) = -37*m + 3. Let u(t) = -3*o(t) + 31*r(t). Give n(u(a)).\nAnswer: 961*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 3*s**2 + 3. Let u be m(-3). Suppose -51 = -u*g + 15. What is the lowest common multiple of g and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0762083 times -0.056?\nAnswer: 0.0042676648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**(-2\/35)*n)*n)\/(n\/n**(-8)))**(4\/3)*((n\/n**(-2\/3))\/n)**(19\/6)\/((n*(((n\/(n\/(n**2*n)))\/n)\/n)\/n)\/n**(8\/5)) assuming n is positive.\nAnswer: n**(-2062\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 2. Suppose 4*z - 3*z - 1 = -s, 0 = z + 2*s. Suppose -3*f + q + 1 = 12, -4*f + 3*q - 13 = 0. Put f, z, c in descending order.\nAnswer: z, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 9:46 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/10)\/(3696\/1120). Which is the closest to -48? (a) -2\/5 (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*z - 18071, -3*z - n = 3*n + 27164. Let u = z + 108701\/12. What is the common denominator of u and (-16 - -5)\/(-6 - -4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*w - 1635, -p = 2*w - 2*p - 1079. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.27505*0.88.\nAnswer: 0.242044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/3 in 0.1, 2, -16, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 993201150 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*12\/(-16)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29355942\/137 or 214276?\nAnswer: 214276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 - 290*u**3 - 238 - 3*u + 236 + u in the form y*u**2 + j*u + m + l*u**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p + 2558 - 2606 = 0. Suppose m + 11 = -3*q, -q = m - 4*q - 13. Let s(v) = -5*v**2 - v - 6. Let t(y) = y**2 + 1. Give m*s(f) + p*t(f).\nAnswer: -f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/24*-2*-3. Let l be 1*(0 + f) + 144. What is the greatest common factor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*s + 45794 = -362568. What are the prime factors of s?\nAnswer: 2, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 w when four letters picked without replacement from llbllwlblllbbwllllb?\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/57)\/((-95)\/475*(-10)\/4).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -101717 divided by 7\nAnswer: -14531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*k - 1)*(k**2 - 2*k + 2*k - k**2 + 2*k - 2*k + (1 - 1 + 1)*(-4*k**2 + 6*k**2 - 3*k**2)).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225894 is divided by 443?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2927929747?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in milligrams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((w - w - 2*w)*(3 - 5 + 3) - w - 3*w + 2*w)*(3 - 22 - 23624*w - 53 + 23600*w) as m + z*w**2 + d*w and give d.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2531100\/5550 - 2\/37. Solve 8 = 448*k - s*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-11 - -5) - (1 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from {h: 4, b: 5, y: 4, w: 1, i: 1, a: 3}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.739 rounded to 0 decimal places?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 43*k**3 - 484*k**2 + 2*k + 2. Let l(d) = -172*d**3 + 1943*d**2 - 9*d - 9. Let i(o) = -4*l(o) - 18*y(o). Find the third derivative of i(x) wrt x.\nAnswer: -516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + 5*f + 6*f + (-3 + 2 + 0)*(-3*f + 2*f - f) + 3*f + 2 - 2 + (-7*f + 3*f + 2*f)*(3 + 3 - 4) as m + v*f and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*y - 40*y**2 + 134*y**3 + 3 - 259*y**3 - 3 + 130*y**3.\nAnswer: 5*y*(y - 7)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 521086, 521073, 521064, 521059, 521058, 521061?\n\"Answer: 2*v**2 - 19*v + 521103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/10)\/o*o*o**(-1\/21))**(-2\/61) assuming o is positive.\nAnswer: o**(31\/6405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -2.3. Let c = -2.4 + m. Let j be 8*2\/(2 - -2). What is the nearest to -0.1 in -0.2, j, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence css when three letters picked without replacement from {c: 3, l: 6, n: 3, s: 4, w: 2, b: 1}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/5886 and -73\/21.\nAnswer: 41202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-3)\/(-3)*-1. Is (-2)\/6*6\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71623609723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -482162\/3 - 2\/3*b**2 - 1964\/3*b.\nAnswer: -2*(b + 491)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a centimeter in micrometers?\nAnswer: 31250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -531.7 + 532. Which is the third biggest value? (a) -4\/17 (b) o (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - (5 + sqrt(539) + sqrt(539) + 3) - -6*1*sqrt(539)) + (sqrt(539) + sqrt(539) + 1 + 1 - -2*sqrt(539)*-1))**2.\nAnswer: -420*sqrt(11) + 13511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5))**(25\/2)*g**(-3)*g**3 assuming g is positive.\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 2*t**2 + 4*t + 5. Suppose l - 15 = -3*m, -1 = 5*l - 2*m - 8. Let w be f(l). Suppose y = -y. Solve 4*b + w + 0 = y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -108 - -48. Let a = p - -110. Suppose -5*j - a = -2*h, j - 25 = -h - 0*h. Solve 9*m = 4*m + h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x + 5*p = 12, p = -4*x - 1. Let k(r) = r**2 + 2*r + 7. Let t(d) = -d - 3. Let h(z) = 3*k(z) + 7*t(z). Calculate h(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/26*-14*(-1)\/(-5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (33*2\/(-21) - -3)*-148*70\/(-1295)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*o - v - 45, 5*o + 223 = -4*v. Let p = o - -81. Calculate the greatest common divisor of p and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 divided by 65?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-242)\/33*(-9)\/2. Let p be u\/(-30) + -6*2\/(-24). Let d be (-3)\/6*(-2)\/7. Which is the nearest to p? (a) d (b) 4\/3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) -3 (c) 5 (d) -5 (e) 0.0934\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1008863131 rounded to four decimal places?\nAnswer: 0.1009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.046, 2\/9, 14?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/930, 4, -64, -2\/5 in decreasing order.\nAnswer: 4, -1\/930, -2\/5, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 0 - (1 - -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29403*d**3 - 207009*d**2 - 8328*d - 84 = 0 for d.\nAnswer: -7, -2\/99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 5) in base 16?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - h. Let q(x) = 15*x**2 - 12*x. Let u(m) = -q(m) - 18*w(m). Find r, given that u(r) = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107713 - 0.2?\nAnswer: 107712.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nh when two letters picked without replacement from {h: 5, n: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-464)\/(-145)*(-5)\/(-4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5.143362um?\nAnswer: 0.0005143362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106480 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.023 + 78347.\nAnswer: 78347.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v - 33*v + 4760. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3101, -3089, -3073, -3053, -3029, -3001?\nAnswer: -2969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3279, -4327, -5375, -6423, -7471, -8519?\n\"Answer: -1048*m - 2231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-48))\/(-18 + (-2457)\/(-126)) - 626\/1584.\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 23*t + 56. Let f be v(-6). Which is smaller: -41 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-21)*(-6)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5547846, 5547857, 5547876, 5547903, 5547938, 5547981?\n\"Answer: 4*r**2 - r + 5547843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -819*v**3 - 54055*v**2\/3 - 297319*v\/3 - 121\/3 = 0 for v.\nAnswer: -11, -1\/2457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 8. Suppose 3*b + 15 = d*p, p + 4*p - 33 = 3*b. Let l(n) = 2*n**2 + 6*n + 1. Let u be l(-4). Calculate the highest common divisor of u and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3731 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -40.195. What is p rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27359627?\nAnswer: 23, 263, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f + 12. Let c be d(6). Let i be (c\/(-8))\/(2 + (-98)\/48). Let w = -36 - i. Solve 2*u - 12 + 2 = w, k - 4*u = -18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4720990 divided by 485\nAnswer: -9734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 17, 292, 28, 3 in decreasing order.\nAnswer: 292, 28, 17, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12166, -12167, -12168, -12169, -12170, -12171?\nAnswer: -12172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 588536792.4518?\nAnswer: 588536792.6518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 11 = -4*q, 4*q + q - 5*c = 40. Let h = 22 + -18. Suppose -h*a + 3 = -q. Solve -a*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67590 = 1540*a + 708*a + 5*a for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 4 = -n, -o + 2*n + 47 = 0. What is the remainder when o is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/176)\/(416\/(-3328))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 3*c + 101. What is s(-12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 12:40 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 9, 4, -3 in descending order.\nAnswer: 9, 7, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2 + (-1 - 4 + 6)*(0 - 1 + 2) - 1 + 3 - 1 + 3 + 3 - 4 + 2 - 11 + 0)*(1467*a - 44 + 0 + 44).\nAnswer: -8802*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 0 + 0)*(-1 + 0 - 1) + 0 + 0 - c + c + 4*c - 3*c - 2 + 2 + 2*c + (0 + 0 - c)*(-2 + 1 + 0) + 5 + c - 5.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -1087 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.4594 to one dp.\nAnswer: -42.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0162 - 211.9838. Let t = 211.07 + w. Round t to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g - 2. Let z be t(5). Suppose -x = -2*x - 5*q + 23, 0 = -z*q + 12. Suppose 5*w + x*i - 1315 = 0, i + 775 = 3*w - 0*w. Round w to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-324)\/(-180)*(-875)\/(-1125)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 380 = 5*o, -66*s + 297 = -62*s - 3*o. Solve -s*a - 27 = -84*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1943 divide 696590759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.68 - -30.68. Put l, 5, -3 in increasing order.\nAnswer: -3, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0046097317 to 4 decimal places.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - k. Suppose 0 = 23*u - 5 - 18. Let f(n) = n**3 + 7*n**3 + 2*n + 4*n. Calculate u*f(m) + 6*d(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 71, -4 in increasing order.\nAnswer: -4, 2, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 4:47 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-12) + (-583)\/66. Let n = m + 15. Calculate the least common multiple of 2 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404598?\nAnswer: 2, 3, 67433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -1.858?\nAnswer: -2.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Suppose 2*m - h*w + 3 = 4, 2 = 3*m - 4*w. What is the second derivative of 3*c - 2*c**2 + 0*c**m + 2*c - 2*c wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -9*c**2 + 26*c. Let z(u) = -8*u**2 + 17*u. Calculate -2*g(f) + 3*z(f).\nAnswer: -6*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140667908?\nAnswer: 2, 23, 1528999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15 times -7.93\nAnswer: 118.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 8*x - 5)*(x - 1 + 1)*(-3 - 4 + 6).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 291 in -4, -26.6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46053 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {u: 2, b: 8}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyayaaaaaayaayaaaaaa. Give prob of picking 1 y and 1 a.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3\/((-1)\/102*(-1 + -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11754 * 0.3734.\nAnswer: -4388.9436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**5 - 873*f**4 - 719*f**3 - 754*f**2 - 26405 wrt f?\nAnswer: -120*f**2 - 20952*f - 4314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 182\/26*(-20)\/4\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/6321)\/(1064\/213 - 5). Let r = -8\/43 + w. Which is the smallest value? (a) r (b) 0.022 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2130 (base 5) to base 4\nAnswer: -10202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -3633423422?\nAnswer: 3633423425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 31. Suppose 0 = 4*v + 4*w - 28, -3*v - o*w + 16 = -w. Solve -5*z - 3*i - v*i = 15, -3*z + 5*i - 9 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 18*q + 56. Let c be 12 + (12*(-1)\/4 - -4). Determine a(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 7*o = -27. Suppose 11*y = o*y. Suppose y = 4*j + 2*j - 228. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.1, 12\/5, -92\/11, -1\/12.\nAnswer: -92\/11, -0.3, -1\/12, 0.1, 12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 - 9*o + 5. Suppose 40 = -0*f + 5*f. Let v = 6 - f. Let r(x) = -x**3 - 4*x + 2. What is v*a(y) + 5*r(y)?\nAnswer: -y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 - 7*h + 1. Let q(g) = -3*g**2 - 7*g + 2. Let a(d) = 3*q(d) - 4*s(d). Calculate a(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20184 and 348?\nAnswer: 20184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 62.57915 micrograms?\nAnswer: 62579.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2217843889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*k**3 - 13 - 363*k + 363*k wrt k.\nAnswer: -87*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1520281 is divided by 7380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 26*j**2 + 49*j + 12. Determine r(-24).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26\/22 + 104\/(-572). Solve 4*o - 4*j = 5*o + t, 2*o - 3*j = 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 165715094?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8854609?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 6:04 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 3:24 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87.29248l?\nAnswer: 87292.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 2\/42685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 389813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50009.3ug to nanograms.\nAnswer: 50009300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8119440 divided by 720?\nAnswer: -11277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -0.8 (c) 28 (d) -3 (e) -29\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06014, -109, 0.097, -1\/2?\nAnswer: -0.06014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8796, -17557, -26318, -35079, -43840, -52601?\n\"Answer: -8761*r - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 7 + 15)*(-1 + 1 + 2*s) + s + 0*s + 2*s + (-2 + 0 - 3)*(-s + 3*s - 3*s) as b + z*s and give z.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 12, -3*w = 14*t - 18*t - 15. Sort -1, 0, w, -2 in descending order.\nAnswer: w, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 854 by 2426.\nAnswer: 427\/1213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 1:10 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*n = -74*n + 520. Let c = -72 - n. What are the prime factors of c?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.179 and 5.\nAnswer: 0.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**2\/2 - 32*r - 546 = 0?\nAnswer: -14, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 15*r**2 + 2*r. Suppose 0 = -3*v - 2*a + 37, -61 = -5*v - 3*a + 2. Let h be u(v). What is h rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y. Let j(x) = 3*x**2 - 8. Let s(o) be the second derivative of -o**4\/12 + 3*o**2\/2 - 4*o. Let h(u) = -3*j(u) - 8*s(u). Give h(w(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.06726454 - -0.03177\nAnswer: -0.03549454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.977 + -1.077. Which is the closest to l? (a) 10 (b) -5\/3 (c) 0.3 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 1)*(4*i - i - i) - 5*i + 14*i + 9*i as t + q*i and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -11*v + 30. Let x be s(4). Let k(w) = -w**3 - 14*w**2 + 14*w - 9. Let n be k(x). Round n to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3 = -5*o, -2*x - 1 = -3*o - 0*o. Suppose -2*b + 33 + o = 0. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3748625 by 29989.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 6:01 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -1.42326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 5*j - 5*j)*(-3*j + 15*j - 6*j).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**3 - 35*y**2 + 346*y + 3. Give r(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 170*i - 122*i - 421104. What are the prime factors of i?\nAnswer: 31, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-6 - -19) + -19 + (1 - 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfq when three letters picked without replacement from {z: 7, f: 5, w: 5, q: 2}?\nAnswer: 35\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.15599 milligrams in kilograms?\nAnswer: 0.00008715599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u + 5*n + 32, 4*u - 3*n - 60 = 0. Determine c so that -14*c**4 - u*c + 6 + 28*c**3 - 12*c**2 + 2 + 2*c**4 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -38595753 and -0.2.\nAnswer: -38595753.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 9*q + q + (-3*q - 3*q - q)*(0 + 2 - 4) - 1 - 1 - q + 4 to the form d*q + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -5*n + 5*j + 56, 3*n - 4*j = 23 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 10. Let k = -10 + y. Is k at most as big as -8\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -298205.2 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.4 - -10. Let s = i - 0. Let j = -4.1 + 4. Sort 2, j, s in increasing order.\nAnswer: s, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 122 + 101. Solve 5*i = 3*u - 5 - 6, x*u + 5 = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by -14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12774 - -12777. What is the closest to 1.8 in d, 68, 2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**3 + 4*t**3 + 745 - 745.\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 278195 = 3*t - 278382, 5*t - 330 = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-1\/4)))**(-16\/9))**14\/((c**(-1\/3))**(2\/11)*(c**1)**(-27)) assuming c is positive.\nAnswer: c**(2063\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 9 + 16. Suppose -2*c - m + 346 = -x, -2*c = 2*m - 346. Suppose 3*s - 95 - c = 0. What are the prime factors of s?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, y: 10, d: 3, o: 4}. What is prob of sequence ydd?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*m**4 - 5 - 5 + 6 - 2*m**2 - 7*m**3 to y*m**2 + t*m**3 + o*m + s*m**4 + z and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8 = -9*x + 11*x, -5*x + 4*l + 66 = 0. Suppose -3*i = -2*d - 2, 2*i - 4 + 16 = -2*d. Let s be 2\/d + 15\/x. Solve 3*t - 5 = s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 3*m = 12*k + 57608, 28804 = 2*k - m. Suppose 16*n - 35*n = -k. List the prime factors of n.\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 179 - (8\/((-8)\/(-4)) + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*o + 76, -215*w + 217*w + 51 = -3*o. Let h(b) = -b - 34. Determine h(o).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 7*h - 8. Let n be z(5). Let i(a) be the third derivative of 0*a**4 + 0*a + n*a**2 + 0*a**3 + 1\/30*a**5 + 0. Let t(x) = -3*x. What is t(i(f))?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/141960 and -97\/770.\nAnswer: 1561560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7899, 14844, 21789?\n\"Answer: 6945*l + 954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g + 6. Let z be o(-4). Let q(k) = -k**3 + 11*k**2 + 3*k - 161. Let m be q(9). Is m bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, y: 2, x: 1, g: 6, n: 2}. What is prob of sequence ybn?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126863882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 10) to base 14\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -13\/94?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 664 and 4399.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32671637 - 373169794. Let n = v + 405841419.29999931. Let j = n + 11.7. Round j to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 1556*x + 17114. Give j(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlhd when four letters picked without replacement from bfalhbbllfdaaalbhad?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105*k**2 + 45*k**2 + 8*k**2 + 85*k**2 to the form p + z*k + d*k**2 and give d.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3ab87 (base 14) to base 8.\nAnswer: -433103","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4553*y**3 + 23*y**2 - 60.\nAnswer: -27318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from ibieiibbiqqqqib.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/3)*s)\/s*s\/(s\/s**(-2\/7)))**(-9\/4) assuming s is positive.\nAnswer: s**(39\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.0253 + 207730610.412\nAnswer: 207730610.3867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -47*y**2 - 32*y + 15. Let m(i) = 16*i**2 + 10*i - 5. Let f(t) = 3*g(t) + 10*m(t). Let u be (0 + -1)\/((-1)\/2). What are the prime factors of f(u)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*f + 77659 + 904757 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -34*l + 179. Let p = -44 - -168. Calculate the remainder when p is divided by q(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from nyynynnnnn.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/32 or -2.66379?\nAnswer: 11\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 45*m**2 + 155*m - 545. Determine v(48).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 4285*y - 4115*y + 8687*y.\nAnswer: y**2 + 287*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s**3 + 6*s**2 - 2*s + 4. Let t = -125 + 120. Let j(c) = 68*c + 3 - 7*c**3 - 70*c + c**3 + 5*c**2. What is t*o(b) + 6*j(b)?\nAnswer: -b**3 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2639 is divided by 243.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*x**2 + 485 - 205*x**2 + 71*x**2 + 65*x**2 to r*x + v + g*x**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1003336 to 4 dps.\nAnswer: 0.1003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5\/5 + 17*b**4\/5 - 58*b**3\/5 + 82*b**2\/5 - 53*b\/5 + 13\/5.\nAnswer: -(b - 13)*(b - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m**3 - m**2 - 2*m - 1. Suppose -2*o = -0 + 2. Let d be l(o). Find the second derivative of d*j**2 + 7*j**3 + 8*j - j**2 - 5*j**2 wrt j.\nAnswer: 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.2 + -30.06. Round r to one dp.\nAnswer: -15.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9882*b + 9836*b = -2254 for b.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 384\/(-9) + 2\/5*50\/30. Let o = 11 - 8. Let u = 2 - o. Which is greater: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -132.02 to the nearest integer.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 133253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8*y + 29. Let v be c(4). Let d = -21 + v. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12040 and 10?\nAnswer: 12040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*sqrt(2057) + -3 - 3*(sqrt(2057) + -1))**2 + -3 + -1.\nAnswer: 8221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ksayt. Give prob of sequence kta.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -k + 10, -3*k - s = -1 - 4. Suppose 3*h = 5*y + 130, k = -4*h + h - 2*y + 95. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - 3) + (3 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 17 = -3*z, -f + 3*z + 16 = 3. Solve 4*b - 7 = -m + f, 4*b - 32 = -4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1737036248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a tonne in kilograms?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11534354 (base 6) in base 2?\nAnswer: -1011010011010111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -678 + 83421?\nAnswer: 82965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*a + 51 = -20, t + 4*a + 26 = 0. What is the hundreds digit of ((-12)\/(-28) - 8\/t) + 129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 7*o + 9. Let g be v(-5). Let u be (0 - (6 + -4))*g. Let p = 17 + u. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2205) - -2*sqrt(1125))\/((5*sqrt(270)\/sqrt(5) + sqrt(54) - sqrt(54))\/sqrt(6)))**2.\nAnswer: 289\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64.81 + -64.89. Let r = -0.1 - -1.1. Which is the second smallest value? (a) 0.4 (b) r (c) 0.3 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 514.59 and -63870.\nAnswer: -63355.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31149, -31148, -31145, -31140, -31133, -31124?\nAnswer: -31113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.099 times 1097\nAnswer: 108.603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/14 and -58\/385?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15605 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -88*s**5\/5 + s**4\/12 + 13*s**3\/6 - 507*s**2. Differentiate u(f) with respect to f.\nAnswer: -2112*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1596 and 427899.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8135, 16321, 24507?\nAnswer: 32693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfmffhmmhvhhhhhfhfhv. Give prob of sequence mmm.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -136.8981466 to two decimal places.\nAnswer: -136.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -5*g - 9\/35*g**5 + 0*g**3 + 0*g**2 + 5\/7*g**4 - 14 + 1\/70*g**6. Find a such that l(a) = 0.\nAnswer: 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14914, -14604, -14296, -13990, -13686, -13384, -13084?\n\"Answer: -x**2 + 313*x - 15226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4\/7 + 62*u**3\/7 - 118*u**2\/7 + 58*u\/7 = 0 for u.\nAnswer: 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 908, 902, 886, 854, 800, 718?\n\"Answer: -f**3 + f**2 - 2*f + 910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(187)*-2*3)\/(-4*sqrt(176)*3*3).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. Suppose 0 = c*t - 0*t + 5*d + 11, -2*t - 8 = 4*d. Put 1, t, -5 in increasing order.\nAnswer: -5, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z + 10 + 19 = 0. What is the remainder when 285 is divided by 36\/(z - -3 - (-1 + 4))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49104.\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + x + 182. Give a(29).\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*y - 3404*y = -28926 - 133866 for y.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 96 = -8*t. Let a = t + 16. List the prime factors of (a - -1)*(3 - 445\/(-5)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from aap.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**5 - 16*n**4 + 0*n**4 - 12*n + 2*n**5 + 16*n**2 + 8*n**3 = 0. What is n?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from gzgjgiiggjg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115925 is divided by 38637?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -11. Suppose 2*m + 0*m - 20 = d. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -1\/165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 99. Suppose 5*s - r = 8. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**2 + 277*g + 3332. Calculate z(-38).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007174711 rounded to 6 decimal places?\nAnswer: -0.000717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 5 (c) -1198 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -357 + 518. Suppose -2*b + 259 = -x. Suppose 4*o + 5*v = 132, -o + 6*o - b = 5*v. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 + 3*m + 7. Let y be j(5). Let u = 30 + y. Suppose 9*w**3 - 6*w**u - 48 + 48 - 3*w**4 = 0. What is w?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 10) + -8 + 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 689 (base 14) to base 15.\nAnswer: 5b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 197\/10560 and -23\/132.\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 9 = -r, -4*d - 3*r = -r + 22 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-8))\/(72\/48))\/(25\/900)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -w + 24, 6*w = 3*w - 3*l + 12. Which is greater: 7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 10*a. Let u(d) = -2882*d. Determine u(w(z)).\nAnswer: -28820*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-10)*g**(-1\/18)*g*g**(-1\/10)\/g*g*g\/(g**(2\/3)*g*g*g) assuming g is positive.\nAnswer: g**(-532\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 357 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -19*p - 4. Let u(x) = -8789 - 8779 + 10*x + 17570. Calculate 3*s(t) + 7*u(t).\nAnswer: 13*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 110 = 9*z. Suppose 11*g = z*g. Solve 2*q = o - 3, 0 = 5*q - 2*o - g*o + 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3\/4*t**5 + 0*t**4 + 3\/4*t**3 + 0*t**2 + 0*t = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-210)\/(-4))\/15 - (-11)\/(-22)) + -11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(0 + 1 + -2). Let j(g) = -235*g + 1. Let o be j(-1). Suppose n*l - l = o. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, 2\/3, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -522\/5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 68\/(-238) - 110*(-2)\/(-14). Let n = a - -50. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 24. Suppose -l*h + x = -3*h - 133, 4*x - 53 = -h. Let v = h + -59. Let u(s) = s - 7. Give u(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o**2 + 4*o - 95. Let h(v) = -11*v**2 - 5*v + 96. What is 3*d(l) + 2*h(l)?\nAnswer: 2*l**2 + 2*l - 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 - 2*u**2 + u - 2. Let y be c(-2). Let t = 26277\/2 - 13139. What is the closest to -1\/7 in t, -2, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.034*14.73\nAnswer: 0.50082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 9*v**2 - 8*v + 13. Does 11 divide y(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3619427 is divided by 904801.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24177 - -46?\nAnswer: -24131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 12 = 3*p, -2*p + 134*n - 130*n = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47164\/(-57141)*6\/(-52) - -737*(-2)\/42?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -5*u + 5*f, 0 = -4*u - 5*f + 2 - 86. Is u bigger than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 158587 and 57863.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 37\/222181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 2*i - 61. Calculate t(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 10*b + 0 + 1\/2*b**2 + 1\/6*b**3. Let i(m) = 4. Let s(o) = -o - 7. Let j(a) = -4*i(a) - 3*s(a). What is 10*c(f) - 2*j(f)?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-4)*-1*2\/(-44).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(294)\/sqrt(7) + sqrt(42)))\/(sqrt(24)\/(sqrt(4)*-1)))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 65 = 9. Let d(h) = -h**4 - 7*h**2 + 4*h - 47. Let i(w) = 2*w**4 + 5*w**2 - 5*w + 48. Let g(a) = p*i(a) + 5*d(a). Differentiate g(c) wrt c.\nAnswer: 12*c**3 - 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -16*c + 3. Let o be t(6). Let n = -63 - o. Suppose z + n = 3*z. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18590 is divided by 38?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -1. Let x(r) = 2*r**3 - 22*r**2 + 2*r - 6. Let f be x(11). Let m be (1 + b)\/(12\/f). What is the highest common factor of m and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -62. Factor 2*i**3 - 8*i**o - 3*i**3 - 10*i - i**3 - 4.\nAnswer: -2*(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 18 = -3*m - 2*u, 0 = m + u + 3. Let i be 30\/8 + (-2)\/m. Suppose -i*n = 2*a - 2, 0 = 5*a - 5*n + 3*n - 29. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 11*b**2 + 98*b - 125. What is x(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 0.0999?\nAnswer: 0.0999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 454*w = -451*w - 11, 2*w = d - 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 515\/3 (b) -6\/5 (c) -4 (d) 1\/114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -1 + 0 - 47. Let q = k + 43. Let n be -1 + 5 - (q + 7). Solve 2*d = n*d - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 11 + -9 - -5) + 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) 6 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-9 - 9) - -13\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1122 and 2046?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 m when four letters picked without replacement from {e: 3, m: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168641032?\nAnswer: 2, 7, 29, 103843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d + 1 - 1)*(29 - 29 - 18*d**3) + (0 - 2 + 3)*(2*d**2 - 2*d**2 + d**4) in the form m*d + l*d**3 + b*d**4 + x + g*d**2 and give b.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -163425191*l**3 - l**2 - 3300618*l - 1?\nAnswer: -980551146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 2*a - 45. Let f be (-2)\/(-3) - (-12)\/a. Suppose -2*q + y = -q - 27, f*y = q - 30. Calculate the greatest common factor of 16 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 181*s - 7774. Give i(43).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 + 4)*(-7093*h - 7088*h - 57 + 14166*h) to the form t*h + p and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231 = 3*j - 5*m - 209, 2*m - 14 = -4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) 27 (c) -1\/2 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*r + 3*x - x, r - x = 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/7 - 35386*w**2\/7 + 5055*w.\nAnswer: w*(w - 35385)*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1619 + 4043. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a centimeter in millimeters?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**2 - p**2 + p**2 + (-2*p + 2*p + 2*p)*(-15*p - p - 9*p) - 3*p**2 + 3*p**2 - p**2.\nAnswer: -45*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 13*v**2 + 17*v - 83. What is the remainder when p(-10) is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = -15*v + 45. Suppose -24 - v = -3*m. What is the remainder when 87 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*s - 16 = 0, 0 = -2*a + a + 3*s + 4. Suppose -a*t + 2*t = 0. Is 15 a factor of 16 - (t - (0 - 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1232340 divided by -46.\nAnswer: -26790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260 divided by 26.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101512104 - -2?\nAnswer: 101512110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*l**2 + 1000333*l**3 + 255*l**2 - 125*l**2 - 1000252*l**3.\nAnswer: 81*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -32*z - 149. Determine o(-6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50*-28571.\nAnswer: 1428550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 65*a**2 - 29*a - 12. Let d be i(-6). Let l = d + -1784. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10060 + 29349. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40\/25*10\/4. Let q(x) = x**3 + 7*x**2 + x + 8. Let l be q(-7). Let b = l + -1. Solve b*h + w*h + r - 17 = 0, 14 = 3*h + r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/((sqrt(8)*2)\/sqrt(4)))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 2177\/135, 3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -31.5. Let q = 0.12 - 0.23. Let p = q - 0.09. Put g, -5, p in ascending order.\nAnswer: -5, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 4*i - 3. Let c be g(-3). Suppose -17*p + 26*p - 63 = c. Solve 5 + 9 = p*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 3*z**2 - 2*z - 3. Let i be x(4). Let a = -3 + i. Find u such that -3*u + 0*u**a + u**2 + 2*u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (515*g - 263*g - 10 - 259*g)*((1 - 1 - 1)*(-3 + 1 + 0) - 5 + 4 + 2 + 2 - 2 - 14).\nAnswer: 77*g + 110","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1315985 and 17750?\nAnswer: 65799250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*z**3 - 17*z**4 + 27*z**3 - 46*z**3)*(-90*z - 70*z + 29*z).\nAnswer: 2227*z**5 - 131*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*x = -14035 + 4564. Calculate the highest common divisor of 451 and x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 151013 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 6*l + 27. Let w(f) = -f**2 - 9*f - 3. Let p be w(l). Suppose 0 = -2*z + p*z - 258. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1504 divide 6671744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - -4*sqrt(170)*1)\/sqrt(10) + 0)**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 5:36 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 55.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 3*c + 2.\nAnswer: (c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 113 = 17. Suppose w + 1 = -3*l. Let x = 20 + l. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88877.\nAnswer: 31, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 6 = 4*y - 3*r, 0 = 5*y - r - 28. Let n = 10 - y. Solve -6 = n*c + 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 12.16 (c) -9 (d) 10 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 619 times -835\nAnswer: -516865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 6*q**2 - 11*q + 1. Is x(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 5, 9 in ascending order.\nAnswer: -19, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 2*x**2 + x - 7. Suppose -l - 4 = -3*p - 3*l, l - 2 = -p. Suppose 4*k - 12 = -p. Determine m(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 442056 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113 - -115. Let z = -0.03 - -0.1. Let y = -1.93 - z. What is the biggest value in y, p, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-82)\/657 + 12\/108). Is -74 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/((-49)\/4))\/((465520\/(-616))\/23)?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 185 + 80. Let f = c + -263. Solve f*z - 6 - 4 = 4*t, -5*z = t + 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05+2997\nAnswer: 2996.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -481*l**4\/2 + l**2 + 2*l + 196. What is the units digit of a(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 134929207?\nAnswer: 1349292070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17741073 times 0.2?\nAnswer: 3548214.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-6) - (-480810)\/(-107415)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -16*l + 17. Solve -x + l*x = 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180, -196, -212, -228?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15315813, 15315811, 15315809, 15315807?\n\"Answer: -2*q + 15315815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -282944998 and 0.\nAnswer: -282944998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3649 + 3648.89. What is the fourth smallest value in -4, 1\/6, 1, 0.15, t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*x - 6 - 4*x**2 + 5 in the form s + l*x**2 + o*x and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 13*x**4\/2 + 88*x - 9. Let p(k) = 2*k**2 + 8*k. Calculate p(a(l)).\nAnswer: 12168*l**4 + 624*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**2\/15 + 12272*v\/15 + 18825248\/15 = 0.\nAnswer: -3068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -h + 18. What is the highest common divisor of h and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 1345?\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0264 rounded to 3 dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 12:43 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 539a35 (base 12) to base 3.\nAnswer: 2111020100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1314023.8 to the nearest one thousand.\nAnswer: -1314000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4814834 litres?\nAnswer: 481.4834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -18 (b) -1\/3 (c) -0.2 (d) -2\/15401 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 6. Let z be c(-5). Let f = 4 - z. Let x = 3386 + -3383. Solve 2*d - x*d = f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, c: 6, r: 1, n: 2}. What is prob of picking 2 n and 1 b?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1.1. Let w be (54 + 4)\/((-8)\/(-3)). Let s = w - 775\/36. What is the third smallest value in s, -0.3, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 208 + 39?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((399\/228)\/((-1400)\/(-16)))\/(1\/5).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -1123*b**8\/336 + 2*b**5\/15 + 59*b**3\/6 + 2*b**2 + 470*b. What is the third derivative of v(d) wrt d?\nAnswer: -67380*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r = -4*w + 29, 5*w - 40 = -5*r. Calculate the highest common factor of w and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 divided by 27?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15390 in -0.1, -21\/5, 4, 1\/3, -30, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 23*d**2 + 88*d + 13. Calculate l(19).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5866 times -4723?\nAnswer: 27705118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -613, -601, -569, -505, -397, -233, -1?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 3:16 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -9*t**2 - 5790*t + 9673. Calculate d(-645).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, 1, -11, 5, -0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/22)*h**38*h)\/((h*h**(-36)*h)\/(h*h\/h**(-35))) assuming h is positive.\nAnswer: h**(2417\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6883259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 15 + 49 = 0. Let c be b\/3 - 12\/(-36). Let i(v) = v - 2. Determine i(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450*m - 3*q + 895554 = 453*m, -2*m + 2*q + 597008 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415 + 415 = -74*h. Factor -6\/5*m + h - 2\/5*m**2.\nAnswer: -2*m*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 4:13 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 392, -4, -1, 1\/160?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 110\/1848 + (-2)\/14. What is the closest to -2 in g, 0.2, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4964100 is divided by 3370.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + (-371)\/(-42))*2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.058 - -8.742. Let q = 80713399.8000059 - 80713391. Let p = i - q. Round p to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4452*s + 807550 = 3442*s - 1644*s + 6775*s for s.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8*a + 2. Let r be g(4). Suppose 2*t = 2*p - 38, 0*p + 2*p = 3*t + r. Calculate the remainder when 60\/(-18)*132\/(-10) is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftt when three letters picked without replacement from {t: 3, f: 5}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30334715*a**2 - 3*a*q + 444149635*q with respect to a.\nAnswer: -60669430*a - 3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -173*k + 1417*k - 145 + 145 - 173*k to r + w*k and give w.\nAnswer: 1071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -107580*d*z**4 - 3*d*z**2 + d*z - 2*z + 88469 wrt z.\nAnswer: -1290960*d*z**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3437\/10541 + -46\/127. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*a**4 - 2379*a**3 + 8526*a**2 + 5529*a + 330 = 0. Calculate a.\nAnswer: -1\/2, -1\/15, 5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 4*u + 5*o, 0*o + 2*o = 3*u + 30. Let x be (-5)\/u*(80 - -2). Let g = 87 - x. Is g a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44401211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/6 + 44\/12. Let k be 3 + r + (-6 - -3). Suppose -3 + 15 = -k*p. Is p < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/35 - -20*(-1)\/(-42). What is the third biggest value in x, 11, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2042981869 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1752)\/1314)\/((-1)\/7899*1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 38 - 8. Suppose 0 = -d*t + 73 + 53. Let l = t + -6. Calculate the remainder when 88 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -124 * -0.033.\nAnswer: 4.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*t**3 + 35*t**3 + 22 + 4.\nAnswer: t**3 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 + -0.03. Let s = v - 0.04. Let k = 3\/4 + -7\/20. Which is the closest to s? (a) 1 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 121 + -119. Solve -g + 3 - a = 2*d, -2*d - 4 = -4*g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*i**3\/3 + 22*i**2\/3 + 2*i\/3 - 2 = 0. What is i?\nAnswer: -1, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 34323, 27, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 18 + -11 + -6 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 7:09 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4210*h - 41. Let r(j) = 2103*j - 23. Calculate 4*q(s) - 7*r(s).\nAnswer: 2119*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (5*5*sqrt(77) - sqrt(77)) - 4*(sqrt(77) + 4*sqrt(77)))\/((sqrt(70) + (sqrt(70)*-1 - sqrt(70))*2 + sqrt(70))\/sqrt(1000)))**2.\nAnswer: 6875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63939.\nAnswer: 3, 21313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -32036 (base 9) to base 7\nAnswer: -115506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y + 45. What is the units digit of z(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 17.6. Which is the closest to 0? (a) -4 (b) r (c) 2\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43405\/31 + 1400. Let m = p + 283\/217. Which is the biggest value? (a) -1 (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 17 = 3*o - 34, 3*o - 22 = -2*g. Solve 4*i = 4*a + 36, 2*a + 10 = i - o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**5\/30 + 7*k**4 - 83*k**3\/3 + 497*k**2. Factor z(i).\nAnswer: -2*(i - 83)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 9*i - 7. Let t(c) = -c**3 - 14*c**2. Let y be t(-14). Suppose y = -2*z - 1 + 5. What is the remainder when b(-7) is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upu when three letters picked without replacement from jmmuphgu.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -231 + -45?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2016429 + -2646?\nAnswer: -2019075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + c**2 - c + 7. Let a be m(0). Let j = a - 2. Suppose 0*x + j*x - 60 = 0. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*r - 19 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*w - 43, w - 3*w - 2*s - 20 = 0. Let i be 0 + w\/(-6) - 12\/(-8). Suppose -i*h + 5*l = h - 480, -16 = -4*l. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 634 = -4*a, 5*a - a + 1054 = 5*p. Suppose -63*r - p = -68*r. What is the greatest common factor of r and 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -4*f + 63. Let v be 4\/10 - 434\/f. Which is smaller: -10 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 999.82224 to 1 decimal place.\nAnswer: 999.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-52)\/(-65))\/((-3)\/150). Which is greater: -79\/2 or x?\nAnswer: -79\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 415351820 and 3.673.\nAnswer: 415351823.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*sqrt(21)\/sqrt(3) + sqrt(7).\nAnswer: 1 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/29850 and 89\/3456630?\nAnswer: 17283150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*b**2*u**2 - 2*b**2*u - 509*b**2 - 2*b*u**2 + b*u + b - 423*u wrt b.\nAnswer: -16*u**2 - 4*u - 1018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66172859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2253\/85?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163396267*-3.\nAnswer: 490188801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1341?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-42)\/(-66) + (-60)\/220. Let a(c) = -c**2 - 8*c. Let d be a(-8). Factor d - h*g**2 - 2\/11*g.\nAnswer: -2*g*(2*g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 2*m**2 + 0)*(-2 + 2 + 6).\nAnswer: -12*m**2 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h + 4*h - 9*h**4 + 5*h wrt h.\nAnswer: -108*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 + 73. What are the prime factors of (-2 - (-1 - -1))\/(i\/73)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 409653.4m?\nAnswer: 409653400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2502*i + 2454*i = 720 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1468.83 to the nearest integer.\nAnswer: 1469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 1 (c) -12\/11 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*b = 3*s - 20, 20 = 2*s - 3*b. What is the least common multiple of 4 + 20\/16*s and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -18843.\nAnswer: 1\/6281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/492 and 101\/2143808.\nAnswer: 6431424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 16*i + 51. Let m be h(22). What is the common denominator of ((-2)\/(-51))\/((20\/m)\/5) and 5\/11?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (108\/(-1323))\/(6\/7). Let n(t) = -t**2 + 6*t - 5. Let o be n(5). Is w less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 26, 0 in decreasing order.\nAnswer: 26, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oauyoahhao. What is prob of picking 1 a and 1 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.136 + 4.136. What is the second smallest value in s, -2\/3, 12?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (1*sqrt(704))**2 - (sqrt(11) + (sqrt(33)\/sqrt(3)*6)**2).\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = 5*a + 236, 5*n - 3*a = 114. Solve n = -1566*m + 1560*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 790.5072 nanograms?\nAnswer: 0.0000007905072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 9) to base 14.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/9)*b**20*b*b*b)\/((b**(1\/7)\/b)\/(b**(1\/59)\/b)) assuming b is positive.\nAnswer: b**(85436\/3717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178483249.\nAnswer: 7, 109, 233923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 4:12 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 5:14 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 0 + 2 + 9*b - 4*b**2 - 6. Let l = -5202 - -5211. Let p(r) = -2*r**2 + 4*r - 2. What is l*p(j) - 4*w(j)?\nAnswer: -2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (1 - 11) + 19 + -24.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 5*l = 0, 2628*z - 2*l - 10 = 2624*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 61. Let i(k) = 11 - r + 6*k**2 - 3*k + 17. Give i(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 5*x - 9 = 27, -y = -3*x - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: a90e69 (base 15) to base 2\nAnswer: 11110101101111110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*k**(-6))\/k)\/(k**(-7)\/k)*(k**0*k)**(4\/21) assuming k is positive.\nAnswer: k**(67\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -370, -1032, -1694, -2356, -3018?\nAnswer: -3680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43799 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(180) - sqrt(180) - sqrt(180))\/(3*sqrt(90)) + -1 + -2*sqrt(8) + ((0 + sqrt(2))*-1 - (5 + sqrt(18))))**2.\nAnswer: 92*sqrt(2) + 1382\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17711039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5 = 30. Sort -2, w, 3.\nAnswer: -2, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -13431*t**2. Let y(k) = 2*k**2. Give y(f(x)).\nAnswer: 360783522*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1 - -2 - 8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701435?\nAnswer: 5, 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311632 = -608*b + 310416 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4621 = -5*w - 11906. List the prime factors of (-3 + 0)\/(31\/w).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7986 and 787952?\nAnswer: 2363856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -3\/8*g**5 + 1\/20*g**6 - 3\/4*g**3 + 0*g**2 + 15*g - 3 + 7\/8*g**4. What is n in b(n) = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*k, 4*y - k = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 815955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, f: 9, c: 6, r: 2}. What is prob of sequence rc?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4753339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(252) - sqrt(700)*2)*-5 + -2 + ((sqrt(210)\/sqrt(5)*-5)\/(sqrt(6)*3*-3))**2.\nAnswer: 13\/81 + 70*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5863*o. Let y(i) be the second derivative of i**3\/3 - 530*i. What is y(n(v))?\nAnswer: -11726*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.14 - -0.06. Let f = -0.4 + 2.4. Which is the biggest value? (a) 0.1 (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3549*h = -1097*h + 1946*h + 3241*h + 840290 for h.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 8:58 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, l: 4, a: 1, t: 9}. Give prob of sequence ta.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480*w = -548*w + 2720 for w.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 50. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -35.98. Which is the third biggest value? (a) -4 (b) 0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.558 to 0 decimal places.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*y - 1311 - 350. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/5593, 2\/5, 6348 in increasing order.\nAnswer: -10\/5593, 2\/5, 6348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19.1? (a) 1\/4 (b) -5 (c) 1\/9 (d) -181\/7 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 686504 and 1056?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000281795 to 5 decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 8.1?\nAnswer: -0.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16132361?\nAnswer: 7, 23, 97, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9 - -2) + 1 + 6. Solve y = 2*m - 0 + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0303 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17\/5? (a) -4 (b) -0.5 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 7*q**3 + q - q**2 - 28*q**2 + 33*q**2)*(-q + 2*q - 3*q) to the form v*q**3 + d*q**4 + o*q**2 + k*q + l and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021110 + -2?\nAnswer: -1021112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (-1 + 2)*-1. Suppose 0 = 5*r - 0*r - 3*x - 9, z*r + 5*x - 19 = 0. Suppose 0 + 1\/3*s + 1\/3*s**r - 2\/3*s**2 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Which is the nearest to 0.018? (a) -3 (b) -1024 (c) 19 (d) 2\/11 (e) 0.5 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -8407*s + 235396. Let p be t(28). Determine y so that -16*y**2 + 4 + p*y - 33\/4*y**4 - 19*y**3 - 5\/4*y**5 = 0.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.18 + -0.18. What is the closest to j in 5, -0.3, -3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 261549129?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + sqrt(132) + 1*sqrt(132)*-4 - -1*2*sqrt(132))\/(sqrt(96)\/(sqrt(72)\/(1*sqrt(9)))) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64842009?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 = -5*v - 2*u, -3*v = -18*u + 13*u - 48 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 109, 49, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(15\/48) + 5\/(-25). Suppose 0 = 2*x - b*p + 35 - 170, 4*x - 279 = 3*p. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 - 1\/(-2)) + 126\/20)\/((-511160)\/319475).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 59. Let z be 4*(-2 + s\/(-13)). Let r = z + -314\/117. What is the second smallest value in 2\/23, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/b**6))\/b*b**(2\/7)*(b\/(b*b*b**1))**(-17))**(2\/55))**(-25) assuming b is positive.\nAnswer: b**(-250\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((1*-36)\/2)\/(-5))\/(4\/10)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/1 + 1557\/(-9). Let n = -168 - w. Solve -1 - 11 = -n*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 5*y = -i + i - 0*y + 6, -58*y = -62*y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -22*k + 420. Let h(n) = -18 + n + k - 15. Determine h(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4144.39nm to centimeters.\nAnswer: 0.000414439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + sqrt(300) + -3 - sqrt(300))*-1 + sqrt(36)\/((sqrt(132) + (3*sqrt(132) - sqrt(132) - sqrt(132) - sqrt(132)))\/sqrt(11)))**2.\nAnswer: -54*sqrt(3) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -702*t**2 + 3*t + 701*t**2 - t in the form l + s*t**2 + b*t and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -10*v**2 - 119*v - 8. Determine k(-10).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100272 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -37770.59 and 745.\nAnswer: -37025.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 390 + -387. What is the closest to 85 in -5, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 163 + -232. Let r = -65 - m. Solve r*w = 2 + 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*c**2 + 3*c**2 + 7*c - c wrt c.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 27 + 10)*(3 - 3 - d**2) + 4*d**2 - 6*d**2 + 3*d**2 + (-d - 4*d + 6*d)*(-2*d + 0 + 0) + d**2 - 7*d**2 + 4*d**2 - 2 - 7*d**2 + 2.\nAnswer: -44*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 3275 - 3263 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - -0.4. Let v = -0.01 + 0.04. Let g = v + 0.17. Which is the closest to -1\/3? (a) g (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -25. Let p be (-2)\/4*2*3. Let d = j + p. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -123 + 415. Suppose -188 = 2*x + 202. Let s = r + x. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1431 - 1431.4988. What is g rounded to 2 decimal places?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/437 and -119\/4750.\nAnswer: 109250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) - (sqrt(1088)*-3 + 1 - sqrt(1088)))**2.\nAnswer: -80*sqrt(17) + 27201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 3*n + 3. Let v be d(-3). Suppose -v*o = 2*a - 15, -5*o = -3 - 2. Let f = 9 - a. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.22496422 - -3.225. What is w rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*987.74.\nAnswer: 1975.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r = -9*r. Let i be (-2)\/(-4)*(-2)\/(-1). Solve -h = -r*h + i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-175*r + 66*r + 55*r)*(-1 + 2 + 0) + 5*r - 3*r - r + (-r + 2*r + 0*r)*(0 + 5 - 3) + r + 2*r - r - 12*r - 2 + 15*r - 12*r.\nAnswer: -58*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**2\/4 + 10775*v\/2 + 8148525\/4 = 0?\nAnswer: -21165, -385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 13*p = -454. Let s = p + -225. Solve 0 = d - z - s, -4*d - z = -4*z - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 400 = -4*p - 5, p = 4*l + 316. Let n = l + 87. Suppose -n = -2*i + 188. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 324, 10, 950, -3.\nAnswer: -3, 10, 324, 950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 - -120. Let a = x - 43. Sort a, 3, -1\/2 in descending order.\nAnswer: 3, a, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18910371108 and 0.96.\nAnswer: 18910371108.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**3 + 1838630*a**2 + 11031915*a + 16547940 = 0. What is a?\nAnswer: -3, 367732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 9) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m + 15. Let j be w(-7). Let u(k) = -k**2 - 7*k + 1. Give u(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1130 - -671. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*u - 223 - 439 - 130 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1646.9 + 1646.94. Which is the nearest to 4\/3? (a) f (b) -1\/3 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44864 = 44909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -218 + 11989\/55. Let x(q) = q**3 - 3*q**2 - q + 4. Suppose 3*u - 8*u + 35 = 5*i, 0 = -5*u - 2*i + 23. Let h be x(u). Which is greater: a or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 20450*n**2 + 1073540*n - 13999960.\nAnswer: -5*(n - 26)**2*(n + 4142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 5*y**2 + 4*y - 1. Let o be d(-5). Let a = -14 - -52. Let f = a + o. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476 is divided by 105?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (144\/108)\/(4\/8223). Let s be (-69)\/15 + (-4)\/10. Is s\/20 - g\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-0.15.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + h - h + (7 - 2 - 3)*(6*h - 2*h - 3*h))*(15 + 16 - 35)*(2 - 1 - 3).\nAnswer: 32*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/423 and -2*1 - (-24 + 142632\/6486).\nAnswer: 9729","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 + 0*i**2 + 2*i**2 - i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g**2 - 2*g - 1. Let c be m(-1). Let r(n) be the first derivative of -n**4\/4 + 10*n**3\/3 - 9*n**2\/2 + 3*n - 1. Is r(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.14 and 34.73?\nAnswer: -39.5922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2076000857?\nAnswer: 7, 19, 47, 113, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -329 + 508. Let t = u - -28. Suppose t = -3*k + 3. What is k rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2226307 is divided by 127?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -27*2\/28 - (-11 - -9). Is 1\/2 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + z**2 + 6*z - 3. Suppose 3*h - 15 = -0. Suppose 6 = 5*x + 3*b + 30, 5*x - h*b = 0. Calculate the smallest common multiple of 30 and k(x).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 9, -5, -3, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/9)\/(a*a*a**(3\/5)*a))**(-3\/5)\/((a**(-7)*a**(-3\/2))\/((a**(-7)\/a)\/((a\/(a*a*a*a\/(a**(2\/13)\/a*a)*a))\/a))) assuming a is positive.\nAnswer: a**(14897\/1950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 156.3092 litres?\nAnswer: 156309.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a week in hours?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2. Let m(a) = -11*a + 124. Let y be m(11). Let r(z) be the second derivative of 0*z**2 + 1\/3*z**y + 11*z + 0. Calculate f(r(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -18*k - 36. Let g(y) = 1. Determine 36*g(d) + h(d).\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 6*h + 2. Let n be i(5). Suppose 0 = -n*g + 9 - 2. What is the closest to 0.1 in g, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2823461 or 59?\nAnswer: 2823461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 8996?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 299273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**33*v*v**(-25)*v assuming v is positive.\nAnswer: v**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120200.\nAnswer: 2, 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -24. Is -4 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2091, 2088, 2083, 2076, 2067, 2056?\n\"Answer: -u**2 + 2092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 61*h - 21*h + 5*h. Let k be z(-1). Let b = -38 - k. What is the lowest common multiple of 4 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 0. Let r be (10\/(-2))\/(x + 2). Let k(p) = p**3 + 8*p**2 + 10. Let a be k(-8). Calculate the highest common factor of a and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (0 + 1)) + 487 + -482?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) -76 (c) -5 (d) 3\/5 (e) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*(53 + -59).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*i - 2. Let a = i - -19. Is 9 a factor of (15\/(-4))\/((-3)\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-33)\/((-495)\/210). Let m(r) = 28*r**2 + 5. Let c(a) = 84*a**2 + 14. Calculate o*m(g) - 5*c(g).\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-2))\/(7\/(-14)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*j + 61*j = -8. Suppose -j*f = -4*i - 402, f - 5*i + 4*i = 201. What are the prime factors of f?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 564.2593 decades?\nAnswer: 56.42593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + (6 - 5) - -4) + -47 + 116\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3432*x**3 - 12*x**2 - 3*x - 4. Let c be f(9). Suppose -2*m - 8120925 = -c. Round m to the nearest one hundred thousand.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -12. Let h(w) = -w**3 + 6*w**2. List the prime factors of h(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.4, -96, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {a: 6, s: 6}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5065 and 8360.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42251*f**4 - f**2 - 112*f - 1?\nAnswer: -1014024*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1498 and 29904.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-225)\/300*((-57)\/(-171))\/(2*1\/96)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 1\/24*r**4 + 0 + 0*r**3 + 1\/30*r**5 + 0*r + 10*r**2. Determine s(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/4 + (-6)\/4. Let f(s) = -s**3 - s**2 + 5*s + 3. Let j be f(y). Solve 3*u + j = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.45 * 0.314\nAnswer: 0.1413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**4\/6 + 7*a**3 - 7*a**2\/2 - 46*a - 1. What is the remainder when 411 is divided by w(19)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/11 and -57\/16742.\nAnswer: 16742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 + 3589 - 1192 - 1199 - 1193.\nAnswer: -3*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 0)\/((-6)\/12). Calculate the remainder when 12 is divided by 9 - (-2 + u)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -129*q**4 - 394*q.\nAnswer: -1548*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/3, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -275*i - 40*i - 152*i + 17*i to the form z*i + g and give z.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25309655.\nAnswer: 5, 7, 723133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 974.5697mg in tonnes?\nAnswer: 0.0000009745697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -13*p - 1. Let k(l) = 7*l + 1. Let c = 12 + -7. Let x(w) = c*k(w) + 3*n(w). What are the prime factors of x(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/4 of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22500780091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/8 + (-65)\/(-4). Let i = -10 + j. What is the first derivative of -7*n + i*n - 3 + 1 wrt n?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/7 - (-1340)\/14. Let i(l) = 2*l - 3 + 1 + 4. Let z be i(5). What is the highest common factor of t and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4585 and -1.5?\nAnswer: -6877.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23\/260025 + -34484602037\/1560150. Let p = 22097 + i. Let j = -8\/33 - 1\/11. Calculate the common denominator of p and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-30)*7\/((-35)\/(-5))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7 - 5*g**2 - 8*g + 3*g**2 - 6*g - 2*g. Suppose 0 = d - 5. What is the remainder when o(-8) is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -3409?\nAnswer: -340c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27152, 27151, 27150, 27149, 27148?\n\"Answer: -v + 27153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/4 of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1025\/2 or 513?\nAnswer: 513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -6*o**2 - 204*o - 392. Let s be v(-32). What is the nearest to 0 in 3, 45, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 2*u - 20 = 0, 7*r + 20 = -5*u + 57 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -163*u + 2024. Determine x(13).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 12 = 0, 6 = 2*z - 2*d - 10. Suppose -3*t = -6*t. What is the second derivative of -289*r**z + 0 + 299*r**4 + 9*r + t wrt r?\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5858282.\nAnswer: 2, 269, 10889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -0*a - 5490. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 11:09 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -354 * -3.\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 151951109972 and 1.24.\nAnswer: 151951109973.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucu. What is prob of picking 1 c and 1 u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1573) - sqrt(1573)) + -4 + sqrt(1573))**2.\nAnswer: 88*sqrt(13) + 1589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -32.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**3\/5 + 4376133*s**2\/5 + 319163851341*s - 43090310191041\/5 = 0.\nAnswer: -729369, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 4:25 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**3\/3 - 3*p**2\/2 - 38*p - 6. Let o be c(8). Solve -i = 3*l - o*i - 13, 4*l + 4*i + 4 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68856 + 28743. Let q = 191576066 - 4598788147\/24. Let g = f - q. Calculate the common denominator of -7\/4 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3071 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 8*j = -32. Suppose -h - j = -13. Let q(p) = -h*p + 23*p + 14*p - 6*p. Let i(v) = 2*v. Give i(q(n)).\nAnswer: 52*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -443*m - 2510. Determine y(-5).\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) -2 (c) -2\/207 (d) 0 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 0*j - 9*j**3 - 3*j**3.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 (base 15) in base 14?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 380*v + 3635. What is l(-10)?\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -59 and -57 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -0.1, -260?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2 + 9*m + 24. Let d be v(-2). Put -81, 1, d in decreasing order.\nAnswer: 1, d, -81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -34. Let c = 52 - j. What is the highest common factor of c and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/21 - 1938\/(-21). Let a = -9854 + 9992. What is the highest common divisor of a and s?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 17*f + 68. Let b be d(12). What is the second derivative of 223*q**4 - 225*q**4 - q**3 + 270*q - b*q**3 wrt q?\nAnswer: -24*q**2 - 54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000687329215 to 7 decimal places.\nAnswer: 0.0006873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*j**2 - 224*j**2 - 266*j**2 - 231*j**2.\nAnswer: -651*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -6257.95.\nAnswer: -6257.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82 + -97 - (-7 - -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49.1 - 52. What is p rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(9\/4)*s\/(s\/s**(1\/9)*s*s))**(-3))**(-2\/97) assuming s is positive.\nAnswer: s**(13\/582)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -1. Let j = -8 - -10. Let t = j - -2. Calculate the highest common factor of t and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 208604 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -130015*g + 780062. Determine y(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1259, 1272, 1299, 1346, 1419, 1524?\n\"Answer: d**3 + d**2 + 3*d + 1254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1153*u + 1119 = 1156*u. What is the remainder when u is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26069082 divided by -13.\nAnswer: 2005314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 160 (b) -2 (c) 4\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 1\/15*x**5 + 0*x**3 + 0*x**4 - 3*x**2 + 0*x + 0. Let g(w) = -2*w. What is f(g(t))?\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010100100110101011 - -1000111000?\nAnswer: -110010100011101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19145 > 19162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k + k - 5*k)*(-3 + 3 - 4)*(224 - 195 - 567) in the form j*k + n and give j.\nAnswer: 2152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -150389?\nAnswer: -60155.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17392 or -504331\/29?\nAnswer: -504331\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -5. Let q = z + -5.04. Let d = 9.3 - 9.1. Put q, -2, d in descending order.\nAnswer: d, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a - 11*a + 112 = 0. Let h(w) = -54999*w**2 - 18*w + 56. Let q be h(a). What is q rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 + 71. Let o(p) = -2*p + 8. Let f be o(7). What is the tens digit of ((-74)\/v)\/(2\/f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -612*r - 3 + 6 + 0 + 0 + 598*r. What is v(3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 28*y + 49. What is b(28)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1016 (b) 5 (c) -167.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/64 and -81\/40.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017449 to 6 decimal places.\nAnswer: 0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -2. Suppose -x + 6 + u = 2*r, 0 = 5*x + 2*r - 29. Suppose -5*l = -5*n + 5, 5*l + 9 - 31 = -4*n. Solve l*v + 5 = 3*p - 2*p, -3*v - 40 = x*p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 679841?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.86 and -1?\nAnswer: 5.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 76258932 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 456 - 273. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24172056 divided by 452?\nAnswer: -53478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1000011011010110110010110?\nAnswer: 1000011011010110110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 618*d**3 - 636*d**3 + d.\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/6 - -1)\/((-7424)\/174 + 37)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11201 + 21?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 - -3. Let j(l) = l**3 - 11*l**2 + 3*l. Let i be j(9). Let t = i + r. What is t rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2 - 22041953*x + 44083902 = 0.\nAnswer: 2, 22041951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - -12. Suppose 0*x + 2 = -x + 2*f, -s = -5*x + f. What is the greatest common divisor of 32 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -98*y + 96*y - 5*k, -8 = -2*y - 3*k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3278 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 10*d**2 + 8*d - 6. Let x = -191 + 301. Suppose -5*p - 2*r - 567 = r, -p - x = 4*r. Let c be 19\/p - 53\/6. What is u(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 6:27 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((48\/(-72))\/(1\/(-3)))\/(-15).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -398 times 4?\nAnswer: -1592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1648*j - 9292 = 2012*j + 9636 for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1085965087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 7:09 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 38, 31, 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*f - 7, 0 = 2*z - 3*f - 11. Suppose z*k + 153 = 21*k. Which is the second biggest value? (a) 0.5 (b) 3 (c) k (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/(-55)*10\/(-4)*-3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 - 10*i)*(-2*i + 3*i + i)*(-203*i**3 + 3*i - 4*i + 302*i**3).\nAnswer: -1980*i**5 + 20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 68311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 2) + (28 - 4)\/4. Suppose 3*o = -5*w + 4*o + 671998, 672008 = 5*w + 4*o. Suppose b = -v*b - w. What is b rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2 - 436 + 436. Let h(n) = 12*n. Give h(v(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 85751 divided by -85751?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 405 and 648?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 18\/(-8)*5816\/4362\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143161.\nAnswer: 239, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 8*g**2 + g. Let i = -63 - -63. Suppose 7*j - j - 12 = i. Suppose j*d + 3*n = -11, -n - 8 = -4*d + 3*n. Calculate s(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9975 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 7*g + 4. Let u be x(-12). Is 66 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 - 1. Suppose -4*s - 2*w = 2*w + 4, 3*s + 27 = 3*w. Which is the closest to q? (a) 0.01 (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -11408a?\nAnswer: -114094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**7\/1260 - m**6\/360 + 19*m**5\/60 - 13*m**2. Let f(h) be the third derivative of t(h). Calculate f(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5908, -0.1, 0 in decreasing order.\nAnswer: 0, -0.1, -5908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3 = 2*p - x, -24 = -4*p + x. Suppose -3 = -2*a + p. Suppose -174 = -a*j + 11. List the prime factors of j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 - 10*u**2 - 3. Let t = -50 + 46. Let p be f(t). Which is smaller: p or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b**3 + b**2 - 2*b + 2. Let t be y(1). Calculate the greatest common factor of 24 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -31654?\nAnswer: 31652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1892, -1890, -1888, -1886, -1884, -1882?\n\"Answer: 2*p - 1894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 65*q**2 - 110*q.\nAnswer: -5*q*(q - 11)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/(a**11*a))\/a))\/((a*a**(-15)*a*a)\/a*a))**(-10) assuming a is positive.\nAnswer: a**(-250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.3093 * 312\nAnswer: -96.5016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 207700 * -169.\nAnswer: -35101300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 - -3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 668?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -223154 + -2501?\nAnswer: -230055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 + c**2 - 5*c - 1. Let r(p) = -5*p**3 + 2*p**2 - 10*p - 3. Let i(w) = -4*r(w) + 9*v(w). Is i(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*(-520)\/1690.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -22a96 (base 12) to base 10\nAnswer: -46482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x + x - 5*x + (-2 - 1 + 5)*(2 - 2*x - 2) - 2*x + x - x + 4 - 4 - 3*x)*(88 - 29 + 24) to the form j + o*x and give o.\nAnswer: -830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-2\/5))\/m)**11*((m*(m**9\/m*m*m)\/m)\/m)\/(m\/(m*m**(4\/5))) assuming m is positive.\nAnswer: m**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8.99, 1\/6, -4, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 196 - 195.7. Which is the smallest value? (a) 24 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, -1, -63, -5, -52, -2 in increasing order.\nAnswer: -63, -52, -5, -2, -1, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 3 = 685326*o - 685321*o - 2, z + 17 = 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*m**3 - 2*m - 1922*m**2 + 3847*m**2 - 254*m**4 - 1927*m**2 to c*m**4 + q*m**3 + j*m**2 + r + z*m and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31593.4 seconds in nanoseconds?\nAnswer: 31593400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 12ff2e?\nAnswer: 12ff2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/6 + 5*b**3\/6 + 3*b**2 - 10*b\/3 - 28\/3 = 0. Calculate b.\nAnswer: -2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -28 - (4 + -1 + (2 - 1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4\/((-792)\/(-426)))\/(-1) and -31\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svzs when four letters picked without replacement from zvssv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 - 3*x**3 - 3*x**3)*(-1131 + 2416 + 3916 + 318)*(-2*x**2 + 2*x**2 - x**2)*(5 - 5 + 1).\nAnswer: 16557*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 5.4. Let j = -6\/473 + 6382\/1419. Let o = -14\/3 + j. Sort -2\/9, o, z in decreasing order.\nAnswer: z, o, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**3 + 6*j**2 - 10*j - 7. Let n(v) = -7*v**3 - 12*v**2 + 21*v + 14. Let q(u) = -5*c(u) - 2*n(u). Let z be q(-7). Solve z = 5*r - 3*r + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 34 = 3*c, -5*c = 4*k + 27 + 84 + 25 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1863584?\nAnswer: 2, 58237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 6:51 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2632253 is divided by 580?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by (-4)\/(-22) + (-85)\/165*-21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m - 3*m + 0*m + 11)*(74*m + 68*m - 6 - 140*m - 4*m**3) in the form a*m**2 + z + c*m**4 + y*m**3 + u*m and give z.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 17, -6.4, -0.3, 0.4.\nAnswer: -6.4, -3\/8, -0.3, 0.4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**3\/4 + 37015*y**2\/4 + 5*y\/4 - 37015\/4 = 0.\nAnswer: -1, 1, 7403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 16*t - 44. Let p be f(7). Let r = p + -2. Suppose -18*d + 28 = -r*d. What is the remainder when 108 is divided by d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.46687t to kilograms.\nAnswer: 39466.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 497 and 355?\nAnswer: 2485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-118)\/(-10) + (1584\/90)\/(-22) - 4. Let n = 0.47 - -0.03. Sort n, l, 8 in decreasing order.\nAnswer: 8, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -5*v + 2*r, -3*v + 7 = -2*v - r. Let m = -8 + v. Let n be (m\/(-2))\/(4\/(-8)). Solve 0 = p + n*p + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 348*r - 4070.\nAnswer: 2*(r - 185)*(r + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, k: 4, u: 2}. What is prob of sequence uddd?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 632b7 (base 12) to base 5.\nAnswer: 13130102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (370\/259)\/(2\/14). Let v be ((-16)\/d)\/(3 - (-693)\/(-225)). Solve -n = -5*x + 5, 4*n + v = -0*x - 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**5 - 762*w**4 + 43886*w**3 - 947736*w**2 + 6223392*w - 5318784 = 0.\nAnswer: 1, 19\/2, 36, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 16*d - 4. Let m be r(5). Suppose -5*g = -5*o + 55 + 15, -5*o = -2*g - m. Let b = o - 3. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2015, -2020, -2037, -2072, -2131?\n\"Answer: -h**3 + 2*h - 2016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q - 34380 + 34382 + 55*q.\nAnswer: 50*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1078659690 to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - n**2 + 1. Let u(p) = 18*p**2 + 4*p**3 + 0*p - 2*p - 11 + 3*p**3 - 20*p**2 + 8*p**2. Determine -6*r(b) - u(b).\nAnswer: -b**3 + 2*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u. Let b(x) be the first derivative of -49*x**3\/3 + 3*x + 1211. Calculate b(n(y)).\nAnswer: -49*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2 - g**2 - 8*g + 7*g**2 - 1. Let v be q(4). Let j = v + -53. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 11958.\nAnswer: 59790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.4 + 78.4. Let y = x - 54. Is y > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 10*a + 8 = -2*b, 8 = -b - 2*a for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 + -36. What is the first derivative of 7 - 8 - 4 - 6 - 2*a**b wrt a?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**3\/3 - v**2\/2 - v + 5. Let a(l) = 8*l**2 - 7*l - 7. Let k(x) = -3*a(x) + 21*m(x). Let p(c) = 3*c. Calculate k(p(i)).\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 9 - 34)*(2*o - 2*o + o**2) to g*o + m*o**2 + u and give m.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -464 + 460. What is the closest to 1\/3 in y, 17, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i + 0*i**4 + 14*i + 2*i + 12*i**4 wrt i?\nAnswer: 144*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g + 3. Let r be q(-3). Let s be 1\/(-20) - 3\/r. Which is the third biggest value? (a) s (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 7, -9, -3 in increasing order.\nAnswer: -9, -3, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000142437 to seven dps.\nAnswer: 0.0001424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4217 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqtt when four letters picked without replacement from {q: 3, t: 8}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**3\/6 + 5*q**2 - q. Let g be 8 - (0 + (-6)\/(-2)). Let a be d(g). Calculate the greatest common factor of 40 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 6 = -2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gfawiafy. What is prob of sequence wfag?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 354 + 18?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Suppose i*a - 55 = -3*a. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 30 = 5*v, 2*v + 0 = -d - 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -248 - -347. Suppose -5*y = -31 - t. Is y a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y - 16 = 4*i, -2*y + 33 = -5*i. What is the common denominator of (-2)\/y*273\/14 and 89\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 0*z**3 - 3\/8*z**4 + 11*z**2 + 0*z + 0. Let f(l) = 3*l. Calculate s(f(x)).\nAnswer: -27*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 195*a**3 + 2*a**2 - a + 1. What is the hundreds digit of z(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -301 - 14*r - 59*r + 265 - 34*r to z*r + l and give l.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.2 - 1.8. Let r be (-39)\/(-9) - (-4)\/6. Which is the closest to -1? (a) z (b) r (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1. Suppose x*i = i - 2*g - 25, 2*g - 99 = -3*i. Suppose -2*f + i + 19 = 2*d, 5*d - f = 95. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001010101010110 (base 2) to base 8\nAnswer: 212526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 4 + 0 + 3 - 1. Let q be w(5). Suppose 0 + 3 = q*g. What is the lowest common multiple of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15015586.95us to weeks.\nAnswer: 0.000024827359375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 12*u**2 - 57*u - 102. Let m be f(16). Solve 10 = -2*d - 2*o, m*o = 5*d + 14*o + 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**4*y - 6443*b**4 + 46*b**2*y + 5343293*b*y + 6*b wrt b.\nAnswer: 12*b**2*y - 77316*b**2 + 92*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33783*z + 118*z**2 - 33783*z)*(z + 1 - 1 + (2 - 1 + 1)*(0 + 0 - z) - z + 2 - 2).\nAnswer: -236*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 24189.8048 to the nearest 10.\nAnswer: 24190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*k = 85*k + 56 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -46*o + 127. What is g(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express y**3 - 2*y + 2*y + (-1282*y**2 - 1195*y**2 + 2018*y**2)*(2*y - 5*y + y)*(-3 + 4 + 0) - y - y**3 + y as m*y**3 + w + d*y**2 + n*y and give m.\nAnswer: 918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2 + (3 + 3 - 5)*(0 + 0 + 1) + 0 + 5 - 2)*(2*z - 2*z - 2*z + (-1 - 1 - 1)*(-2 + 2 - 3*z)).\nAnswer: 35*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 978 - 979. Let q be 8\/(-12) - 20\/(-66). Which is the smallest value? (a) q (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1296498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiun when four letters picked without replacement from {n: 2, c: 1, j: 2, u: 2, i: 7, h: 1}.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10981000 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2633600 to the nearest ten thousand.\nAnswer: -2630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 0)*(-52 + 76 - 44)*(-4*z**3 + 0*z**3 + 5*z**3) to the form t + r*z + k*z**2 + s*z**3 and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 13*w**2 + 9. Is k(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1324475 and 5127?\nAnswer: 3973425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -14. Let h(x) = -4*x**3 + 9*x**2 + x + 3. Let s(q) = 3*q**3 - 8*q**2 - q - 2. Let b(j) = 4*h(j) + 5*s(j). Determine b(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250837219?\nAnswer: 250837219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -33587455 divided by 11?\nAnswer: -3053405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1096 - -1096. Which is bigger: k or -1\/311?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = o - 8, -2135*o + 2130*o = -c - 54 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -63\/97, -31\/18, 1?\nAnswer: -63\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r. Let d(l) = -5*l**2 + 0*l**2 + 9*l**2 - l**2. What is d(j(m))?\nAnswer: 243*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 46471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49713*i - 42648 = -49737*i. What is the remainder when i is divided by 26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 2 - (1 + 2). Let n(v) = -8*v - 72. Let w(i) = -1. Let t(j) = c*n(j) + 144*w(j). Let z(g) = -6*g - 4*g + 12*g - 5*g. Determine z(t(q)).\nAnswer: -48*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.11 (c) -459\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 24 = -b - 4*n, -2*b + 2*n = 32. Let p(s) = s + 26. Let z be p(b). Suppose 0 = 3*a + z - 18. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 325*b + 2507. Calculate the smallest common multiple of 208 and f(-5).\nAnswer: 91728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-47 - -57)*(-2)\/15 - -2. What is the nearest to 150 in -5, -0.5, -0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29249270 is divided by 105593.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009824 to 7 decimal places.\nAnswer: -0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/2*(-18)\/(-4). Let q(x) = -7 + 5 - 7*x - 1 + x**2. What is the units digit of q(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26 or 11822?\nAnswer: 11822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1.8, -0.4, 6407876?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46.5 - 46. Sort 2\/9, u, -3, 2 in increasing order.\nAnswer: -3, 2\/9, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qw when two letters picked without replacement from {x: 3, w: 3, f: 2, q: 5}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 u when four letters picked without replacement from {u: 9, i: 4, m: 2, d: 1}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.975 + -0.041. Let t = 0.016 + f. Sort t, 2, 0 in increasing order.\nAnswer: t, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -10. What is the second biggest value in -1\/6, c, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2101032 (base 4) to base 7\nAnswer: -36045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amw. Give prob of picking 3 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**3 - 1 + c**3 - c**4 - 2*c**2 + 0 + 124*c - 107*c + 6*c**3 as j + b*c**2 + r*c**3 + f*c**4 + x*c and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 - 15560*j**3 - 2689344*j**2 - 152008192*j - 2850598912.\nAnswer: 4*(j - 4058)*(j + 56)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6218 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 4*o - 32. Suppose -2*k = -5*i + 183, -39*i + 58 = -37*i + 3*k. Calculate the remainder when i is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((0 - -1)*(-5)\/1090). Let m = 327 - a. Let b = m + -74. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.3 and -0.32?\nAnswer: -0.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, u: 9}. Give prob of sequence ouo.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*p**4 - 7*p - 2*p - 8*p**4 wrt p.\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 96 = -4*w, 0*m = m + 4. Let u = 46 + w. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 531843?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(12)*-5.\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 26 (b) -0.5 (c) 7 (d) 1\/6 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18673, -17266, -15855, -14440, -13021, -11598?\nAnswer: -10171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by (-2 - 1)*(-12 - -7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/132 and -77\/108.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, g: 1, o: 1, x: 3, c: 5, l: 1}. Give prob of sequence cog.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10308871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 7*f**2 + f - 4. Let o be k(7). Let p be 2*(0 - 1) - -6. Factor 0*h**4 - 3*h + 8*h**o + 7*h - 10*h**2 - h**p - h**4.\nAnswer: -2*h*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, o: 9}. Give prob of picking 4 o.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + sqrt(567)))**2*-3 + 6*(-1*sqrt(567) + -2).\nAnswer: -15564 - 1512*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-16 - 1 - -22 - (1 + 14)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (48\/30)\/((-4)\/10) + 9. Suppose -20 = -2*k + 6. Let p = -1 - -4. Solve 2*h + k = p*c - 4, 0 = a*c + 2*h - 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8733038*v**2 + 2742061*v?\nAnswer: 17466076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76525 + 76094.83. Let h = 977 + -545. Let a = h + s. Round a to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 47512*f + 190035. Determine u(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 14 = 62*h - 63*h, 2*q - 3*h = -20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 3199118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -299 divided by -4?\nAnswer: 299\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230782 is divided by 19213.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i - 21. Let u(j) = -j - 5. What is 2*q(v) - 9*u(v)?\nAnswer: -v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1476*t**2 + 236*t**2 - 2 + 0 + 2 + 356*t**2.\nAnswer: 2068*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + (sqrt(80) + -5 + sqrt(80) + (sqrt(80) - (sqrt(80) + 2)) - sqrt(80)) + (sqrt(80) - 2*(sqrt(80) + 2 - sqrt(80))))**2.\nAnswer: -264*sqrt(5) + 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -95 + 4.3.\nAnswer: -90.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4487 - 4497 + 8849 + 135 + 12*z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000885972 to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-6422)\/741*(-18)\/(-26)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*w - 2. Suppose -3 = -s + b, -s - 23 = -w*s - 3*b. What is the remainder when 22 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/2184*8*7\/(-2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -97330816*g**2 + 258398954 wrt g?\nAnswer: -194661632*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2449425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 3*f. Suppose 2*h - 5*h + 12 = 0. Let r be g(h). Suppose -5*j + 4*n + 53 = 0, 28 = r*j + 2*n + 2*n. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-3*4\/(-144)). Let s(y) = y**2 - 2*y + 6. Let q be s(4). Let a = q + -14. Solve 3*w + l = -a*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from {c: 4, t: 1, h: 1, f: 1, j: 1, z: 4}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -6121 and -6120 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 1:22 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 346\/5 in -4\/3, -4, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -20239 in descending order.\nAnswer: -2, -3, -20239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u - 8*u + 50 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 7*u - 2. Let d be x(6). Let c(m) be the first derivative of 2*m**3\/3 - 5*m**2\/2 + 4*m + 1. What is the units digit of c(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 7*w**2 - 9*w + 11. Let j be k(8). Factor -248 + j*c**3 + 248.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*v - 13*v**4 - 2 - 5*v + 5*v**4 wrt v.\nAnswer: -32*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**8\/3360 - l**7\/252 - l**6\/45 - l**5\/15 + l**4\/12 - 3*l. Let c(a) be the third derivative of j(a). Factor c(u).\nAnswer: -2*(u + 1)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.04 (c) 7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 5*f**3)*(-2 - 2*f**2 + 2) + 2*f**5 + 0*f**5 - f**5.\nAnswer: -9*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7344 - 7345. Which is bigger: h or -0.8135?\nAnswer: -0.8135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 1791*l**4 - 2*l**3\/3 + 1427*l + 7293. What is the third derivative of x(f) wrt f?\nAnswer: 42984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1185 divided by -2\nAnswer: -1185\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17\/170 + 26716\/40. Let r = w - 669. Let a(h) = h**2 + h. Let m(k) = -5*k**3 - 5*k**2 - 5*k + 2. Determine r*m(o) - 5*a(o).\nAnswer: 5*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (15 - 3 - -2). Let u be s\/(-112) - (3 - 19\/7). What is the smallest value in u, 0.21, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 16*q - 136. Let l be b(10). List the prime factors of 9765\/30*l\/28.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from xxxmzxammabmxz.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**4\/12 + 73*l**3\/6 + 7*l**2. Let k be c(-31). Let g(f) = -2*f - 8. Let n be g(-6). Solve -5*s + j + k = -8, 4*j = n for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 90900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 25*i + 15. Calculate n(4).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2443881840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 0.1196?\nAnswer: -0.6196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*a - 45 = 0, 2*a = 4*i - 2*a + 80. Which is smaller: -22 or i?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.5 + 32. Let x = w + -11. What is the smallest value in -2\/5, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -5856 (c) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2 = -5*u - 21, -2*i + 12 = -3*u. Suppose 0 = -2*w + f - i*f + 22, 0 = -w - 5*f + 15. Solve 0*b + 2*b - w = 4*d, 0 = d + b + 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*r - 71*r - 62*r - 34*r + 2*r**3 - 6*r**3 - 92*r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 1 - 11. Let b(m) = -8*m**2 - 3*m + 2. Let c be b(r). Let t = -21 - c. Calculate the highest common factor of t and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 26. Let s = r - 12. Sort s, 0.3, -5 in ascending order.\nAnswer: -5, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -597202, 4 in descending order.\nAnswer: 4, -3, -597202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 + 105*h**2 + 520 - 1387 + 495*h + 448 - 186.\nAnswer: 5*(h - 1)*(h + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487 divided by 196354?\nAnswer: 487\/196354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1770)\/(-9))\/(-5 + (-68)\/(-12)). Let x = g - 274. Calculate the remainder when 159\/2 - 1\/2 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5754 - 5756. Let k(y) = -y. Let g(b) = 8*b**2 - b. Give p*k(f) + g(f).\nAnswer: 8*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 790102*u - 790183*u - 2835 = 0 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 6140496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -219 + 221. Calculate the common denominator of (336\/(-162) + z)*(-564)\/(-16) and -65\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93265, -93271, -93289, -93325, -93385?\nAnswer: -93475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/39)\/o**(-7)*o**2\/o**(-9))**(-20) assuming o is positive.\nAnswer: o**(-14000\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 + i**3 + 4642*i - 4642*i - 3*i**3 in the form f*i + s*i**2 + b*i**3 + a and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2444359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -d + 1. What is the remainder when 26 is divided by -1 + 6\/d - -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 0*p**2 + 0 + 1\/6*p**3 + 22*p. Let x(n) = 3*n. What is -6*u(q) + x(q)?\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 9. Let t be (4 - (-12)\/x) + 0. Does 10 divide (t - 3)\/((-7)\/70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 divided by 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 223.129 - 223. Round y to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36213?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6*g**2 - 9*g. Let c(k) be the third derivative of k**5\/20 - k**4\/6 - 24*k**2 - 17*k. Determine -9*c(n) + 4*m(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/7452 and 95\/4094?\nAnswer: 663228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.826 + -0.156. Let h = -0.27 + r. Which is the second biggest value? (a) h (b) 25 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 2*d - 3. Let g be t(4). Suppose -g*f = a - 0*f - 12, -f + 10 = 4*a. Suppose -2*z + 12 = a*z + 5*q, q = -2*z + 6. Solve 0*m = -z*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.533 + -0.39. Let u = -0.153 + h. Which is the nearest to 0.2? (a) u (b) 1\/2 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 353050551 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -6788.\nAnswer: 1\/6788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Suppose -g - 2*d + d = -23, -4*g - b*d + 89 = 0. Suppose -5*z = 3*p - 58, 1 = 2*z - 9. What is the remainder when g is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 151 + 31. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91950.03g in kilograms?\nAnswer: 91.95003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*a - 24, -3*l - a = -0*l + 38. Let m be 0\/((-10)\/8 - l\/44). Solve -2*h - h + 3*s + 15 = 0, -2*s - 6 = m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -333.5829835074 and -114.\nAnswer: -447.5829835074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, 0.5, 5\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -11. Let p(h) = -h**3 - 11*h**2 - h - 13. Let y be p(w). Let z = -2.1 + 0.1. What is the nearest to z in -1, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19 and -282.327.\nAnswer: -5364.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 5*k**2 + 7*k + 2. Suppose 189 = 8*t - 35. What is the remainder when t is divided by x(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211102221100 (base 3) to base 10\nAnswer: -441729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 11:07 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + d + 0*d)*(12 + 9 + 6) as y + z*d and give z.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**2 - 715*j**3 + 7*j**2.\nAnswer: -715*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/321 + 712\/11235. Let h(q) be the first derivative of -2\/21*q**3 + 1\/7*q**2 - 1\/14*q**4 + 0*q + v*q**5 - 6. Factor h(o).\nAnswer: 2*o*(o - 1)**2*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 16*s - 6 = 0. Solve y + s*z = 5*y - 14, 0 = 5*z + 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2292\/11 - 20650\/99. What is the nearest to 2\/11 in -1\/22, -0.5, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 6*a - 11. Give s(7).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10775, 10780, 10787, 10796?\nAnswer: 10807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 39*k - 44*k - 3*a, 5*k - a = 65 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfv when three letters picked without replacement from qjjqfvqjqqvjjqv.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/51 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i**2 + 0*i**2 + 3*i**2)*(239*i - 10071 + 10071) to q + d*i**3 + r*i + a*i**2 and give d.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 18 = -3*f. Let p be 2*5 - (-6)\/3. Let t = p + f. Solve -3*v + 1 - 2 = -j, -2 = -2*j + t*v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-2)\/(-6)))\/(42*21\/2646)*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 8 = -5*x + 28, 4*z + x = 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/8 - (4395\/(-8) + 2). Suppose 4*x - 3*a - r - 180 = 0, 0 = x + a - 180. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**4 - 3*r**4 + r**4)*(24686*r + 24479*r - 2 - 49433*r).\nAnswer: 268*r**5 + 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.898 rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 45*v**6 - 21*v**2\/2 + 10*v + 479. What is the second derivative of r(o) wrt o?\nAnswer: 5400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 16*d = 360. Suppose -d = j - 1433. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, x: 2}. What is prob of sequence xx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 5*s - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 8\/(-5))*-80. Let m = -45 - 17. Let f = m - -110. What is the highest common divisor of f and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*z - 534*z + 338 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -95, -199, -303, -407?\n\"Answer: -104*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 2*b = -13*q - 70651, -5*b = 15. What is q rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3578797849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 14*k**2 + 9*k - 1. Let v be i(-4). Let q = v - 185. Solve -5*d + 2 = -3*b, 4*d + 0*d - q*b = 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 45163 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 6. Suppose 7*f = 1 + y. Suppose 3*q = -f - 8. Let c(n) = -n**3 - 4*n**2 - 3*n - 1. Give c(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 0, 15\/2, 0.5, 12, -3?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4 = -2*p + 9, 0 = 3*q + 2*p - 11. Let c be (3\/(-5))\/(q\/(-5)). Suppose -c*o = -o + 3*o. Solve o*t = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 7:17 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1426464 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b - 38. Let c be z(2). Let u be -30 - c - (11\/2 - 2). What is the closest to -0.07 in u, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.6399 to 2 dps.\nAnswer: -5.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 591, 1886, 3865, 6516, 9827?\n\"Answer: -2*k**3 + 354*k**2 + 247*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3.04, 87\/5 in decreasing order.\nAnswer: 87\/5, 3.04, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, u: 1, d: 3, l: 1, t: 3, w: 1}. What is prob of picking 1 l and 1 k?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**2 + 12*n - 4. Let s(x) = 6*x - 8. Let q be s(2). Let b be m(q). Let l be (8\/32)\/((-1)\/b). Solve -u = 3*f + u + 7, -5*u - l = 5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/25 - 124\/10. Let x be 1\/(-5) + m\/(-10). Solve x = -2*o - 2*o - a, -5*o - 2 = 2*a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 1704 + 366. Let n = -171 - h. Calculate the highest common factor of n and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 5\/581254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11021, -23682, -39609, -60434, -87789, -123306?\nAnswer: -168617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**3 + a**2 + 2*a + 1. Let i be j(-1). Suppose 2*s + 6 = i*s. Suppose 5\/4*n**s - 9\/4*n**4 + 0 + 3\/4*n**3 + 1\/4*n = 0. What is n?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 1 = -5*m, m = -0*q - 5*q + 23. Sort 351, m, 5, -4 in decreasing order.\nAnswer: 351, 5, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18084095 to the power of 1\/3, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2, -1, 3, -5\/3.\nAnswer: -5\/3, -1, 0.4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4 - 7 = -3*k, -4*r + 3*k + 25 = 0. Suppose -r = 3*f - 7*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 80*r - 1670. Let k be a(21). Solve 4*n + 0*z + 2*z = -12, 0 = 5*z - k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 + l**3 - 4*l**3 + (-2 + 2 + 2*l)*(-3*l**2 + l**2 + 0*l**2) + l**3 - l**3 - 2*l**3 + 23818*l + 138*l**3 - 23818*l.\nAnswer: 130*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2195*o**2 + 2*o + 1. Let v be r(-1). Suppose 5*p + v = 7*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 7:24 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*k + 4 = 0, r - 5*k = -0*k - 1. Let z = -0.64 + 6.94. Let x = 6 - z. Sort r, 0.5, x.\nAnswer: r, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and (3 + 1)\/(((-14)\/(-4))\/7).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 900, 2734, 4552, 6354, 8140, 9910, 11664?\n\"Answer: -8*v**2 + 1858*v - 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 13*a**3 - a**2. Let t be r(-1). Is -13 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8830 = -3*d + 5*d. Let f = d + 3075. What is f rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(9)\/(2*sqrt(363) + sqrt(3)) + 0)**2.\nAnswer: 4*sqrt(3)\/23 + 2119\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -2*2 - 2. Suppose 57*o = 58*o + 878. Is (-2)\/l + o\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -447, -1594, -3441, -5988, -9235, -13182, -17829?\n\"Answer: -350*t**2 - 97*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -158, -334, -510?\n\"Answer: -176*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 2*b - 2*b - b. Let c(h) = -h + 2*h - 4*h. Determine c(a(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3213102 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-6*f**2 + 3*f**2 + f**2) - 2*f**2 + f**2 + 0*f**2 + (-3 - 2*f + 3)*(-f + 0*f + 2*f) - f**2 + 4*f**2 - 2*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, -13, -5, 4, -4, -2 in ascending order.\nAnswer: -47, -13, -5, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3.157862*3\nAnswer: -9.473586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38050 + -38051. Which is smaller: 4188 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 632*b - 10686 = 629*b. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1085 and 620.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/1200 and 37\/20?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100401413 (base 6) to base 15.\nAnswer: -23bec9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21, -177, -443, -825, -1329, -1961?\n\"Answer: -h**3 - 49*h**2 - 2*h + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + k - 2*k + (2*k + 3*k - 6*k)*(0 + 0 + 2) + 65*k + 27*k - 11*k + 2*k - 3*k - k)*(0*k + k**2 + 0*k).\nAnswer: 78*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.9 + 231.1. Let r = -243.0000712 + z. What is r rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 61522?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = -7*w + 60. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdadc. What is prob of sequence dc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*(-17 - -15).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18817 minus -1.4880152?\nAnswer: -18815.5119848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d + 252316 = -18*d + 928764. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71732 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, 4, 0.2, 73?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/792 and -25\/18084.\nAnswer: 108504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123961, 123202, 121937, 120166, 117889, 115106, 111817?\nAnswer: 108022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89849 less than 23?\nAnswer: -89826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13997 or -14598?\nAnswer: -14598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18b + 2d31?\nAnswer: 2b95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76349644 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o - 1 + 1 - 1 + 1 + o + (-1 - 2 + 1)*(-17 + 17 - 3*o).\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 22 = -t, -5*n + 48 = -t - t. Let r(j) = -j**2 - 47*j - 4. What are the prime factors of r(t)?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.04, 5, 6, -8182, 0.4 in decreasing order.\nAnswer: 6, 5, 3, 0.4, 0.04, -8182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 10*h - 3. Let c(l) = -l + 39. What is the remainder when c(-11) is divided by k(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5 + v - v**2 - v**3 + 14 + 0*v**2 + 4. Let r = 1 + -1. Is 13 a factor of w(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 98648 - 64011. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((7 - -1) + -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5803?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2429*b**2 + 1 + 123*b - 123*b - 1 as v*b**2 + w*b + h and give v.\nAnswer: 2429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-353 - 2*o + 7*o + 323)*(1 - 2 - 3) as x*o + m and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 + 13 - (134 + -96) - -7.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 + 82. Calculate the common denominator of 151\/60 and (-60)\/150*(3 - v).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Suppose -4*t + t + 3 = l. Suppose 0 = -h + t + 1, -2*c + 2*h = -14. Solve 0*q = -3*q - c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 23. Suppose -10*r + q = -9*r. Suppose 0 = -0*k + k - r. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -36, 133, 5?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25140 + -13728. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*-1.0237.\nAnswer: 61.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**6\/12 + p**5\/30 + 29*p**4\/24 - p**3\/2 - 6*p**2 + 112. Find the second derivative of z(h) wrt h.\nAnswer: 60*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41560.28m to kilometers.\nAnswer: 41.56028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 13*n**2 + 24*n + 15. Calculate w(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 1. Let h = -90 - -93. Let g be 2*-2 - 12\/h. What is the closest to -0.1 in x, g, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 - 27 = 6*i. Suppose 1298 = 3*p - j, 4*j + i - 9 = 0. What are the prime factors of p?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(448)*-1 - (-5 + 0 + sqrt(448)) - -3*((sqrt(7) - (sqrt(28) + 2)) + -5 + (sqrt(21)\/sqrt(3) - sqrt(7)) + sqrt(7))) + 2)**2.\nAnswer: 1568*sqrt(7) + 22148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*y**6 + 8*y**5 - 1892*y**2 wrt y.\nAnswer: 720*y**3 + 480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b + 12 - 23 - 1 + 19.\nAnswer: -15*b + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l + 4 = -2*h, 5*h - 22 = 3*l. Let w = -47 + 106. Let c = -51 + w. What is the smallest common multiple of c and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 3 = 2*r. Let o(c) = 2*c**2 + 4*c - 4. Is 11 a factor of o(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -154 * 34.67.\nAnswer: -5339.18","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 13 + 59. Does 22 divide g + 3\/(1 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*i**2 - 6*i**2 + 3*i**2 + (3 - 3 - 1)*(4*i - 3*i + i)*(-1 + 2 - 3)*(i - 1 + 1).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1806 is divided by 352?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6914300 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2744 - -4558. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5824\/(-40) + 150)\/(((-4)\/(-6))\/((-5)\/(-3))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 183 + -137. Let n = -41 + f. What is the greatest common divisor of 25 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.17918 - -0.17918. Which is the nearest to -20? (a) -0.4 (b) 0.17 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(-1*sqrt(432))*2.\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 - 100*q - 76. Calculate i(33).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 111 + 4?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4255)\/55*2\/(-26). Let d = 75\/13 - y. Which is the second smallest value? (a) 4 (b) d (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2415\/115)\/((-56)\/(-48))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207308 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 16*d**5\/5 - 5*d**4 - 10*d**3 + 5*d**2 + 4*d - 16. Let x(i) = 0. What is i?\nAnswer: -1, -1\/4, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2731686, -2731681, -2731670, -2731653, -2731630, -2731601?\n\"Answer: 3*o**2 - 4*o - 2731685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 13413258?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117218, 117256, 117294?\nAnswer: 117332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -284 - -264.1. Let h = j - -14.9. Sort 1\/11, h, -5\/4, 0.3 in decreasing order.\nAnswer: 0.3, 1\/11, -5\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 1:27 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*z - 81 = 45*z. Which is greater: 4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = d - 17, 0*m + 4*m = -d - 23. Let o = d + 2. Let p be 15\/10*o\/(-6). Is p equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19332.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1702 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/63)\/((-10)\/15)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1247948 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.23 - -0.23. Let f = b + 8. Let c be ((-1)\/1)\/(2\/6). What is the second biggest value in -1\/2, c, f?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3020 - 3f?\nAnswer: 2fe1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -20, 2, 0.\nAnswer: -20, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522277 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**5\/80 - 1885*a**4\/16 - 3553225*a**3\/8 - 6697829125*a**2\/8 - 7829*a. Let d(b) = 0. Calculate b.\nAnswer: -1885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 2) + (7 - (-17 - -5)). Solve n = 5*d - 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 10007.8s?\nAnswer: 10007800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -0.6. Let s = -20 - -21.3. Let n = s + -1. Which is the smallest value? (a) n (b) z (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5\/173, 1.31, -1\/5?\nAnswer: 1.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buu. Give prob of sequence ub.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86 + -81. Sort -2\/9, -16, p, 1.\nAnswer: -16, -2\/9, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 67 = 11. Let g be 2\/2 - 0 - (-89072)\/j. Suppose 0*d - g = -5*q - 3*d, 4*q + 3*d = 8908. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -82.8 to the nearest integer.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1447.4 - 545\nAnswer: -1992.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34224 + -240?\nAnswer: -40014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 8\/3*x + 4\/3*x**2 + 2\/9*x**3 + 2. Factor w(n).\nAnswer: 2*(n + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67244, -268965, -605168, -1075853, -1681020, -2420669, -3294800?\nAnswer: -4303413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101651736 by 6.\nAnswer: -16941956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - -2 - -1*12. Suppose -c + 4 = -3*f. Solve -2*r = 2, -4*r - 8 = -f*j + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2. Let b be l*(15\/3 - 2). Suppose 5*w + p = -b*p + 70, 0 = -w + 5*p + 43. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -357578*y**2 + 2503138*y - 644 = 0.\nAnswer: 46\/178789, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -10145*o - 5. Calculate r(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4939 and 14817?\nAnswer: 14817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*z + 226810 - 453699 + 226795 + 15 - 15 + 7*z + (3*z + 2*z - 4*z)*(2 - 1 + 1) - z + 1 - 1 + (-2 + 2 + 2)*(-4*z + 2*z + z) as u*z + w and give w.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x + 3*x - 7*x + 31*x**2.\nAnswer: 31*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38722 + 1394087\/36. Find the common denominator of -49\/15 and l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/19, 1\/4, -3, 1\/6, -82, 0, -0.18?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l - 17. What is c(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**4 + 12*a**3 - 11*a**2 + 10*a. Let r(x) = -x**4 + 11*x**3 - 11*x**2 + 9*x. Let m(h) = 4*b(h) - 5*r(h). Let m(z) = 0. What is z?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3306 is divided by 3276.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**5\/60 + x**4\/24 + x**3 + 5*x**2. Determine k(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 1 - -3) + -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/4410 and -28\/4845.\nAnswer: 1424430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030750337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -40, -92, -158, -238, -332?\n\"Answer: -7*w**2 - 31*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(99)\/sqrt(36) + -1*sqrt(704) + -2.\nAnswer: -6*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1947*t - 137 = -1952*t, -m = 2*t - 50. Let v(o) = o - 1. Let x be v(1). What is the remainder when (-69)\/(x - 3\/2) is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-12731535.\nAnswer: -2546307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -586?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7568*b - 7589*b + 607194. What are the prime factors of b?\nAnswer: 2, 3, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1104*s - 1097*s - 917 = 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/98382539?\nAnswer: 2\/98382539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 10 + 2 + n + 3. Let m(q) = -q - 1. Let v(g) = -4*m(g) - z(g). What is the least common multiple of v(5) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0, -2, -5, 124, 3, 2 in descending order.\nAnswer: 124, 3, 2, 1\/4, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30371*q**4 + 2145*q**3 + 272750455 with respect to q.\nAnswer: -121484*q**3 + 6435*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 a when three letters picked without replacement from {w: 3, a: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*q - 32. Suppose 11*i - 696 = q*i. Suppose -g - i - 85 = -2*y, -25 = 5*g. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92861 is divided by 11601.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4554 - -4559. Solve 2*h = -g*h + 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -192551, -192549, -192555, -192569?\n\"Answer: -4*d**2 + 14*d - 192561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13040820 divided by 1086735\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 19 = 4*t, -2*y - 7 = -t - y. What is the third derivative of p**4 - 3*p**4 + 3*p**t + 7*p**2 - 5*p**4 wrt p?\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*z**3 + 4*z**3 - 3*z**3)*(6*z + 0*z - 3*z) as q + g*z**4 + v*z**3 + o*z + c*z**2 and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -0.03228509768196.\nAnswer: 1.96771490231804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l + 1. Let n be a(-1). Let p(r) = -r**3 - 3*r**2 - r + 2. Let m be p(-2). Let o = n - m. Solve 5*i + 9 = -o*v - 21, -13 = 3*v - i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 5:48 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -44*l - 4621. Let a be p(-105). Suppose 19 = 3*w - 4*h, 2*w = -2*h + 6*h + 14. Let m(u) = 4*u - 2*u**3 - 3*u + 2*u**2 + w*u**3. Determine m(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 37. Let u = o + -38. Solve q = -u*q + 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246, 253, 270, 297, 334, 381?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**3 - j**2 - 2*j + 2. Let b = 532 - 532. Suppose -4*i = b, -u = -3*u + 2*i + 4. Let l(p) = p**3 + 1. Give u*l(s) - r(s).\nAnswer: -2*s**3 + s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 21*g**2. Let i(f) = -10*f**2 + 20*f + 8. Let q(l) = -161*l**2 + 315*l + 126. Let x(h) = -63*i(h) + 4*q(h). Calculate a(x(b)).\nAnswer: 4116*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450347 is divided by 79.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2159891, -2159890, -2159889, -2159888, -2159887, -2159886?\n\"Answer: h - 2159892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*f - 4*g = -31*f + 20, 0 = -g - 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zazzzzzzzzzzzfzzfzfz. Give prob of sequence aff.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 2305a47?\nAnswer: -2305a4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -4931?\nAnswer: 4930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 10*l - 66. Let j be i(7). Let a(c) = 9*c**3 - 5*c**2 + 10*c + 3. Let q(w) = 8*w**3 - 4*w**2 + 9*w + 2. Let z(p) = -5*a(p) + 6*q(p). Is z(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (1 + 2))*-3. Suppose -45 = -a*n + 99. Suppose -4*b + 2*x + 74 = 0, -3*x = -5*b - 2*x + 85. Calculate the greatest common divisor of n and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pljk when four letters picked without replacement from jhkjjjljpjjkjjjpjj?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 + 3*s + 3. Let a be m(3). Let l be -1*(-3)\/(-18)*a. Let w = 2 - 2. Solve -f - l = -w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/3311 and -26\/235557483.\nAnswer: 2591132313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 1. Let p(r) be the second derivative of r**4\/12 - 2*r. Let k be p(-2). Determine u(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 2*k - 300 = 0. Suppose 0 = -106*x + 109*x - 33. Suppose 4*a = x*a - 84. What is the greatest common factor of k and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.115283l to millilitres.\nAnswer: 7115.283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-27)\/(-84) - 6\/8. Let p = -0.108 - -0.608. Sort b, -2\/21, -0.5, p in decreasing order.\nAnswer: p, -2\/21, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/18*(-9)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d98b (base 14) in base 7?\nAnswer: -214334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 14, -16, 2 in descending order.\nAnswer: 14, 2, 1, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110100 (base 2) in base 12?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177, 161, 145?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001075564387 to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 35 = -6*g. Let l be -2*(-4)\/10*5. Find the third derivative of -7*r**g - 67*r**2 + r**l + 61*r**2 wrt r.\nAnswer: -144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -55*n**3 + 30 + 53 + 242*n**2 - 21 - 215*n - 32*n**2 - 2*n**4 = 0. What is n?\nAnswer: -31, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(5\/6))**(-3\/17)*(c**1*c)**(2\/69))**37 assuming c is positive.\nAnswer: c**(-23051\/2346)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n = -10. Suppose -3*k - 19 = -n*k. Let r = k + 32. Calculate the greatest common divisor of 91 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 17 = 2*h. Suppose -121 = -h*b - 145. What is the second biggest value in b, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3095.5 + 0.4.\nAnswer: 3095.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -11111?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**3 - 2. Let r be p(-2). Suppose 3*d + 5*s = -19, 8*d + 5*s + r = 4*d. What is the units digit of -6*d\/(5 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0324 or 232?\nAnswer: 0.0324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -0*v + 423 - 378 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 142467 a multiple of 281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2977 + 11843\/4. Suppose -4*q + 162 = -0*m - m, -4*q = -5*m - 170. What is the common denominator of a and 5\/(q\/12)*26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 7*i**3 + 5*i**3 - 16*i**3 - 10*i - 14*i**2 + 4*i**2. Let x(u) = u**3 + u**2 + u. Calculate t(w) + 10*x(w).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 138, 371, 672, 1023, 1406, 1803?\nAnswer: 2196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 27*z + 294 = 23*z, -4*y + 168 = -35*z - 99 for y.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 4*b**2 + 3*b - 5. Let n be z(5). Suppose -4*m - 2*w + 764 - 744 = 0, 2*m = -2*w + 8. Solve 0 = -r - m*r + n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**4 + 13*o**3 + 27*o + 12. Let i(v) = 17*v**4 + 79*v**3 + 162*v + 75. Let k(b) = 2*i(b) - 13*p(b). Find the second derivative of k(l) wrt l.\nAnswer: -60*l**2 - 66*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 457.8355mm?\nAnswer: 45.78355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -99801 + 183701. Round x to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/64 (b) -3\/4 (c) -0.1 (d) -2\/25 (e) 11 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.26 - 4.5. Let k = l + -0.11. Round k to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56832 and 62976.\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 25*h + 3. Give a(23).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-232)\/10)\/(-53*120\/(-15900))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 s when four letters picked without replacement from xsssssxsss.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87252809?\nAnswer: 7, 1187, 10501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/3))**(-4\/3))**4 assuming h is positive.\nAnswer: h**(-32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**5*r**3 + 4418*k**2*r**3 + 2*k*r - 3260*r**3 wrt k.\nAnswer: -20*k**3*r**3 + 8836*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 10*x + 13. Let p be m(-11). Suppose p*b + 5*h = 7 + 3, -2*b - 3*h = -10. What is the nearest to -3 in b, -5, 3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -8*t + 1. Let a(c) = 8*c. Suppose 0 = -3*s - 4*q + 10, 5 = 14*s - 9*s - 5*q. Give s*o(d) + 3*a(d).\nAnswer: 8*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 11*c + 2. Let j be z(-11). Suppose j*h = 7*h. Solve 2*w = -h - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 - (-149 - (135 + -406)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35\/2, 2\/9, -4, 3\/2, 0.4.\nAnswer: -35\/2, -4, 2\/9, 0.4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/(-14))\/((-2)\/(-12)). Let z be -1*0*3\/l. Suppose z = -4*g - 4*r + 18784, -16 = -0*r + 4*r. Round g to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 1138*s + 3423. Let l be x(-3). Sort -147, -5, -7, -2, l in descending order.\nAnswer: l, -2, -5, -7, -147","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3162419731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from ssmmoszszoos.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 464654*b**4 - 141696*b**2?\nAnswer: 11151696*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29887?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -5. Let m(p) = p**3 - 2*p**2. What is the remainder when a is divided by m(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1963*u**4 - 5*u**2 - u - 409?\nAnswer: -47112*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4962*f**2 - 96*f + 36. Let u be q(9). What is u rounded to the nearest 10000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/90)\/((-1)\/(-5)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 1 in decreasing order.\nAnswer: 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -24*2\/(4\/(-2)). Let s be 5\/30 + 572\/d. Let r be (s - 0) + -4 - 4. What is the greatest common divisor of r and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131597101535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5.5893 + -7968\nAnswer: -7962.4107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 40*u - 24. Is a(3) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**3\/3 - 29918*b**2\/3 + 72118611*b + 37279358028 = 0.\nAnswer: -484, 15201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 143*b**2. Let j(w) = 183*w - 50. Give j(k(t)).\nAnswer: 26169*t**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**2 + 3*s**2 + s**2)*(3 + 1 - 2) + 0*s**2 + 3*s**2 - 2*s**2 - 45*s**2 - 61*s**2 - 91*s**2.\nAnswer: -198*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**3 + 1195*f**2 - 2*f - 10 - 1191*f**2 + 3*f + 7 to the form k*f + g + u*f**2 + j*f**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -15*r - 2. Suppose 3*c + 18 = -4*i + i, 3*c = 0. Let o be h(i). Suppose -84 = -4*y + g, 24 = -2*y - 5*g + o. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551460.\nAnswer: 2, 3, 5, 7, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 5385?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(171)*-4 - (2 + sqrt(171) + 2))**2 - (3*(sqrt(171) - (sqrt(171) + 0))**2*2 + -4).\nAnswer: 312*sqrt(19) + 28919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000744 rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 13*b**2 - 20*b + 295. Calculate u(0).\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**2 + 7*b**2 + 14*b**2 to r + v*b + w*b**2 and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*u - 8 + 8)*(-u + u - u) + 2*u**2 + 0*u**2 - 12 - 24)*(-5*u**2 + 2*u**2 + u**2)*(u + u + 0*u + (-4 - 3 + 5)*(0 + 0 - u)).\nAnswer: 32*u**5 + 288*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 - -7.582\nAnswer: 7.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 7*b**2 + 0*b + 0 + 0*b**5 + 0*b**6 + 0*b**4 - 1\/30*b**7 - 4\/3*b**3. Differentiate i(t) with respect to t.\nAnswer: -28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 900 and 28900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 7, -7 in decreasing order.\nAnswer: 7, -7, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 5689310.\nAnswer: -5689310.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 + -209. Suppose -g = 2*u + 122, 5*g + 3*u - 243 = -867. Let k = g - c. What are the prime factors of k?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + 2*l**3 + l + (93*l**3 - 28*l + 28*l)*(-5 + 3 + 3).\nAnswer: 95*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 4*g + 6*g**3 - g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 349476246 to the nearest integer?\nAnswer: 18694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6*l**2 - 12*l + 63. List the prime factors of p(6).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-2) + 63\/42. Which is the third biggest value? (a) l (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1084*m**3 - 1666*m**3 - 2530*m**3 - 2142*m**3 - 334*m**3.\nAnswer: -5588*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -320 in -5\/4, -1, 3\/11?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/1370 and -133\/66.\nAnswer: 45210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*t**2 + 2*t**2 + 2*t**2)*(4*t - 3*t - 16 + 13) as o*t**3 + s*t**2 + y*t + m and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67.4 + 4.\nAnswer: -63.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2. Suppose 1 = 2*u - 7. Suppose -t - 3*t + u*l = 16, -5*l + 10 = 0. Is x greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -7. Suppose 2*m + 2*m - 10 = 2*r, -2*r - 4*m + 6 = 0. Let t = n - r. Solve 1 = -3*k + t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256843 to the power of 1\/2, to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 0*v + 5\/12*v**5 - 3 + v**2 + 55\/24*v**4 + 5*v**3. Solve p(t) = 0 for t.\nAnswer: -6\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 + -1 - (367 + -354 - (-2 - -31))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00655639 to five decimal places.\nAnswer: 0.00656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 11. Let i be (-3 - -4)*(y - -43). Suppose -i - 173 = -3*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 9, p: 2, t: 8}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 236915, 1895308, 6396657, 15162440, 29614135, 51173220, 81261173?\n\"Answer: 236913*u**3 + 2*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1688577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from cpcccppapkkakccpppzk?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 11100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -138100*z**2. Let a(y) = -46*y. Determine a(w(l)).\nAnswer: 6352600*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*m + 4940, -t + 2425 = m - 35. Does 19 divide t\/49 + (-2)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182929, -182933, -182939, -182947, -182957, -182969, -182983?\nAnswer: -182999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s + 20 = 17*s. Suppose 5*a = a - 12, s = 2*v - 2*a. Solve -q - r = v, -5*q + 0*r - r - 27 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5\/14 (b) -0.4 (c) 1\/3 (d) 201 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6996824401 to the power of 1\/2, to the nearest integer?\nAnswer: 83647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f - 3. Let b(s) = -24*s - 10. Let i(g) = -5*g - 2. Let d(v) = -3*b(v) + 14*i(v). Give -5*d(h) - 3*q(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5)*i*i\/i**1*i)**33)**(-38) assuming i is positive.\nAnswer: i**3762","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 154, 174, 194, 214, 234?\n\"Answer: 20*b + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 2. Let n(l) = -2*l. Let s be n(i). Let r(g) = g**3 + 5*g + 5. Let h(j) = -j - 1. What is s*h(b) - 2*r(b)?\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) -0.2 (b) 24 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or 9124?\nAnswer: 9124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 7 - 6)*(2*x**2 - 2*x**2 - x**2).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r - 11. Let n(t) = -t - 6. Let c(z) = 6*m(z) - 11*n(z). Let v(x) = 3*x - 1. Let y(j) = -5*c(j) - v(j). Calculate y(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 222\/5. Let l = -0.4 - -1.4. Let q = l + 4. Which is the nearest to -0.1? (a) -1 (b) y (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 6:49 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*j = -0*q + 5, -4*q + 3*j = -40. Suppose q*z - 11*z = -12. Suppose 0 = -5*w + 25, 4*i = z*w + 2385. What is i rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7014?\nAnswer: 2, 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 4?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*m - 60 = -0*v, 2*m - 82 = -4*v. Let z = -19 + v. Solve -z*c - c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 0.3, 11, 3\/2, -0.4, 6, -0.079?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g + 3*g + g**3)*(-5 + 2 + 1)*(6*g - 125*g - 91*g) as d*g + y + f*g**4 + h*g**3 + n*g**2 and give f.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*j**2 + 19*j**2 - 897*j**2 - 597*j**2.\nAnswer: -1291*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26, 89, 406, 1027, 2054?\n\"Answer: 17*w**3 - w**2 - w - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -23. Suppose 4*v - d = -5*k + 14, 16 = 2*k - 2*v. Let p(n) = n**2 - 7*n + 8. Let q be p(k). Solve -2*c - s + 14 = 0, 0 = -s - s + q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48364866 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/30 and (-2)\/12*(-243)\/2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/79 or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c + 4. Let q = -2 - -7. Suppose -5*g + 56 = 2*d - 11, 3*g - q*d - 34 = 0. Calculate the remainder when i(4) is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**5 - 4016*u**4 - 127452*u**3 - 920360*u**2 + 1322752*u + 2119680 = 0. What is u?\nAnswer: -16, -1, 2, 1035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (10 + -11 - (2 + -6)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 31 = 7. Suppose 14 = 2*w - y. Factor 2*z**5 + 2*z**2 + 11*z - w*z - 2*z**3 - 2*z**4.\nAnswer: 2*z**2*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 divided by 891.\nAnswer: 16\/297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*(7*q + 11*q + 1 - 95*q + (-5*q + 4*q + 0*q)*(1 + 3 - 2)) as n*q + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.97157 + 0.02843. Which is the third biggest value? (a) k (b) 24 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7470 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: Calculate 14.1963426*-3.\nAnswer: -42.5890278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -135 + 2*x**2 + 27*x + 13*x + 214 - x**2. Let v be a(-38). Let m be 6\/8*(-8)\/2. Put 4, m, v in ascending order.\nAnswer: m, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 1:01 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 3:29 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24522205 to the power of 1\/2, to the nearest integer?\nAnswer: 4952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 2*t + 4*t)*(-2*t**3 + 4*t**3 + 0*t**3) + (1 + 3*t - 5*t - 2*t)*(0*t**2 - 2*t**3 + 0*t**2).\nAnswer: 6*t**4 - 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1915 is divided by 181?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*k = 20, 5*x + 0*x - 52 = -3*k. Suppose -20*w = -5*w. Suppose g - 4*g + 6*g = w. Solve p + x = -q, -p + q + 2 = -g*q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 5*a + 17, -30*a - 28 = d - 20*a - 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -226a8e (base 15) to base 2\nAnswer: -110010001000010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, k: 2, p: 7}. Give prob of picking 2 p and 1 k.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*y = -22, 0*m + y = 3*m - 13. Let q(b) = 24*b**2 + 4*b - m*b**2 + 3*b**2 + 7*b**2 - 3. Let s be q(1). Is s smaller than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.092 and 0.43.\nAnswer: -0.03956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/10 - 2374*s\/5 + 2817938\/5.\nAnswer: (s - 2374)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + b - 3*b + b + 0 + 0 + (-2*b + b + 3*b)*(4 - 4 + 1) - 2*b - 2*b + 6*b + 2 - 2*b - 2 - 4*b + 5*b + b - 7 + 7 - 23*b - 3*b + 24*b - 4*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000265 to 7 decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-9) - -1)*2\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.61 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 918\/13 - 10004\/117. Let q = -154397\/15048 + -889\/209. Let t = q - f. What is the second smallest value in 0.3, 1\/10, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(3)*5)\/(-1*sqrt(432)))**2.\nAnswer: 25\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -4, -11, -39, -3 in increasing order.\nAnswer: -39, -11, -4, -3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**8\/60 + 79*z**5\/120 + 3*z**3 + 7*z. Let t(s) be the second derivative of i(s). Find the second derivative of t(l) wrt l.\nAnswer: -336*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-371*b**2 + 132*b**2 - 1616*b**2)*(-5 + 5*b + 5)*(-4 + 1 + 4) - b**3 + 5*b**3 - 2*b**3 to the form s*b**3 + k*b + z + l*b**2 and give s.\nAnswer: -9273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 23 = 21*p. Calculate the lowest common multiple of 49 and 51 - (-6 - (-7 - p)\/5).\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) 1 (b) 68\/11 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n. Suppose o + x = -3*o + 31, -4*x - 20 = 0. Let a be 4\/1 - 3\/(o\/(-3)). Let z(u) = 5*u + a*u - 7*u. What is y(z(c))?\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 33148294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 516, 727, 674, 375, -152, -889?\nAnswer: -1818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 - 245*q + 246760.\nAnswer: -5*(q - 199)*(q + 248)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 20*h**2 - 47*h + 20. Let s(k) = -k. Let y(g) = 4*s(g) - t(g). Let r be y(-22). Solve 0 = 5*p - 2*p + 3, -z = r*p + 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4230065963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-229128611)\/4164 + 2\/(-8)*1)*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4737 take away 2.0164?\nAnswer: -2.4901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) -2\/3 (c) 0.3 (d) -8\/11 (e) -11\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 96*(4 + -1 + (-7569)\/(-27)). Round f to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-3)*((-53)\/(-6) + -18 + 5).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -115857 + 50*g**4 + 57931 + 58024 - g**3 + 2*g**2 - 27*g + 3*g**3 wrt g.\nAnswer: 600*g**2 + 12*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -87\/1417699 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 12 = 13*s. Let p be (-63)\/(-28) + 1\/s. Solve p*a = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3*n**3 - 3 - n**2 + n**3)*(-2 + 2 + 2*n)*(4*n + 2*n - 5*n).\nAnswer: -4*n**5 - 2*n**4 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 31 = -0*f + l, -3*l + 27 = f. Let b(n) = -n + 8. Suppose 6*h - 3*h - 12 = 0. What is the smallest common multiple of f and b(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1 (c) -7271 (d) 12\/13 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 8:43 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-2) - 1*-3. Suppose 0 = -v*h + 5 + 11. Let z = 14 - h. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7\/3)*q*q)\/(q\/q**7)*q**15*q**(-7) assuming q is positive.\nAnswer: q**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 672 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 645406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 9:18 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-30)*4\/((-20)\/(-25))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f**3 + 0*f**3 - f**3)*(891*f + 882*f + 10 - 1765*f) as a*f**2 + c*f**4 + u*f**3 + y + w*f and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4 + 2*b**2 + 5 + 2*b**2 - 2*b. Let c(a) = -a**3 + 9*a**2 - 14*a + 25. Calculate the remainder when c(7) is divided by t(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -253\/35 - -59\/7. Factor -3\/5*w**2 - 3\/5*w + i.\nAnswer: -3*(w - 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (35\/(-14))\/(35\/(-17668))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/18 - -41\/90. Suppose 82 = -4*l - 2*d, 5*l + 0*d + 89 = 2*d. Let n be l\/36 + (-2)\/9. Do k and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -7 + 4*p**2 - 6*p**2 - 3*p**2 + 1 + p**4. Find the second derivative of c(d) wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 3*i + 10 = 0. What is the remainder when 19 is divided by 1 + ((-36)\/i)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-25))\/(((-4)\/12)\/(60\/(-36)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7211 is divided by 861.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 0*v - 35 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/3715600 and -41\/2654.\nAnswer: 3715600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 53*f - 203. Let a be h(-49). Let y(r) = r**2 + 10*r + 15. Calculate y(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14\/3, -0.16, 18?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 242037015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u - 7. Let t(p) = -p. Let f(r) = s(r) - 2*t(r). Let c = -167 + 169. Let i(a) = 2. Calculate c*f(l) + 7*i(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 = -5*r - 2*z, -4*r + 3*z + 481 = 181. Let y = r - 70. Differentiate -1 - 22*t**y + 22*t**2 - 26 + 12*t**4 with respect to t.\nAnswer: 48*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/7 + 9\/(-63). Solve 0 = 3*j - 3*o + 2*o + 10, z = -4*j + o - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/98 and -103\/126.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 21 = 81. Suppose 8*x = -2*x + y. Solve -4*r + 12 = -4*k, -10 = 3*k + x*r + 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 8*t**2 - 11*t + 11. Let c be b(-6). Suppose -c*m + 3 + 82 = 0. Is 17 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4102614\/19 or 215927?\nAnswer: 4102614\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 22840000 to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 13*w**3 + 5*w**2 - 12*w + 5. Let k(a) = -6*a**3 - 2*a**2 + 5*a - 2. Calculate -15*k(x) - 6*s(x).\nAnswer: 12*x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 511368 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = 7. Suppose -w*k = -5*o - 24 + 72, -16 = -o + 4*k. Calculate the lowest common multiple of o and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18570 divided by -3519\nAnswer: -6190\/1173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -50 + (2 + -3 - (-11 + 1))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*w - 79, -2*w + 75 = 2*w - q. Suppose -8 - w = -k. What is the remainder when k is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 12, y: 7}. Give prob of picking 4 y.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4154 (base 6) to base 12\nAnswer: 65a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 4. Let w be (-886)\/(-14) - 14\/49. Suppose -10*a + a = w. Give r(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 7.6. Let j = 0.14974 - 1.14974. Which is the closest to j? (a) -1\/3 (b) x (c) 6 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27255 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*m + 17404 = 0, 0 = 5*m - 10 - 15. Let u be (l + -7)\/(-3)*17. Round u to the nearest one thousand.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1006409, -2012834, -3019277, -4025738, -5032217, -6038714, -7045229?\nAnswer: -8051762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -t + 3, 3*y + 2*t - 8 = 6*t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from fqqfbiifwwwfwff?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 - -3442488666.\nAnswer: 3442488641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -12*m + 46. Let y be (2 - 38)*(-2)\/4. Suppose 4*h + 44 = -h - 3*g, -y = 3*h - g. What is the tens digit of w(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*w = -243 + 33 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1988, -3956, -5936, -7934, -9956, -12008?\nAnswer: -14096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 0*t**4 - 4 + 1\/3*t**3 + 0*t - 1\/5*t**5 + 0*t**2. Let s(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8369 - (-8 - 2*(3\/(-2) - 1)). What is the greatest common factor of 184 and w?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/15 - (2 + -2). Which is the third biggest value? (a) -0.1 (b) q (c) -2\/5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3189126 rounded to 3 decimal places?\nAnswer: -3.319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2038 is divided by 1877.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(j - 3 + 3) + (0 + 1 + 1)*(3*j - 1 + 1).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -7.071, 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 13*x**2 - 6*x - 7. Let h be l(-11). Suppose 3*j - h - 317 = 0. Let f(k) = -2*k**2 + j*k - 206*k. Let g(b) = -b. Calculate f(g(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + a**2 - 5*a - 5. Let w be i(-2). Solve -2*d + 10 = -5*x - 7, -5*d = -4*x - w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4683.684 years?\nAnswer: 46.83684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9833 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -1480\nAnswer: -1495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 136\/16*(-15)\/(-70) - 55\/11 and 0 + -2 + (-128)\/(-49).\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8*f**2. Let a(s) = 277*s**2 + 4*s. What is a(g(x))?\nAnswer: 17728*x**4 + 32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/4)\/r**(-4\/5))\/((r**(-1)\/r*r)\/r*r)**14)**10 assuming r is positive.\nAnswer: r**(311\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -8*k**2 + 18*k + 5. Let p(d) = 2*d**2 - 4*d - 1. Let g(j) = 2*h(j) + 9*p(j). Let o be 7\/5 + 6\/(-15). Let y = o + -2. Calculate g(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, 2, -1 in decreasing order.\nAnswer: 7, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168367, 336734, 505099, 673462, 841823, 1010182?\nAnswer: 1178539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (1 - -5) + -8 + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18193 is divided by 30?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 15890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**5\/2 - 17*z**4\/2 - 19*z**3\/2 + 21*z**2\/2 + 9*z = 0 for z.\nAnswer: -3, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 206600291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2)*q)\/q)**(-31)*(q*q**(-1))**36 assuming q is positive.\nAnswer: q**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*2\/(-15)*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (-5)\/((-35)\/(-28)). Let f be -3*(4\/(-15) + x\/5). Solve 5 = -f*i + 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5 = 2*j - 18, 2*j + 2 = 2*h. Suppose -4*b + h = -5*b. Let s = b + 10. Solve p - s = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from ehmhghhhgmeegemnee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ca93 (base 15) to base 2.\nAnswer: -1010011110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(2*(-1)\/2). Suppose -3 = -j*c + 3. Find the third derivative of -2*k**6 - k**2 + 6*k**c - 2*k**2 wrt k.\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/1188 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 2*i + 5, -12776*i + 12773*i - 6 = 2*y + 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/5016 and -115\/264.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - ((-3)\/3 + -185) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**2 + 811737*h = 0.\nAnswer: -270579, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -26*u + 0 + 3\/35*u**5 + 0*u**2 + 0*u**3 + 0*u**4 - 1\/35*u**6. Factor f(b).\nAnswer: -6*b**3*(b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -470, -1864, -4628, -9218?\nAnswer: -16090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 5*c**2 - 2*c - 5. Suppose 2*i = -3*i - 25. Let z be w(i). Suppose z = -0*d + d. Calculate the highest common divisor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 3*k - 5*r - 28, 0 = -k - r - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.4 - -12. Sort 0.4, -4, o in descending order.\nAnswer: 0.4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 10. Is n < -3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 270 and 725.\nAnswer: 39150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7 + 0*j + j - 2 + 8*j + 16*j**2. Let o(s) = 4*s**2 + 2*s + 1. Let b(h) = -2*n(h) + 9*o(h). What is the first derivative of b(c) wrt c?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 4\/3 (c) -0.19 (d) 4\/7 (e) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-560)\/(-8)*225\/(-450)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 6 - -2) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0624 + -8.\nAnswer: -8.0624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -u - 96. Let 207*y**2 + 360 - 204*y**u + 96*y + 367 + 41 = 0. What is y?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/(-76) + 3\/1 and 95\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -4694474342594.\nAnswer: 4694474342595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 + 13 = -12*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 8*n + 4. Which is greater: n or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 4:50 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18017186 and 1628.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (171 - 228 + 144)*(5*p**3 - 2*p**3 - 26*p**3) in the form t*p + s*p**2 + n + v*p**3 and give v.\nAnswer: -2001","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 11*h**2 + 2*h + 13. Let z(m) = -5*m**2 - m - 6. Let a(o) = 6*o - 1. Let l be a(-2). Let u(p) = l*z(p) - 6*y(p). Find k, given that u(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*s + 5 = -5, -10 = -5*s. Suppose -2*x + 4 + 6 = p, -5*p - 3*x + 22 = r. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4b9b - 122a?\nAnswer: 3971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-13)))\/(j*j**4*j))\/(j**11*(j\/j**15*j)\/j) assuming j is positive.\nAnswer: j**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*k - 14*k + 42*k - 2*k to w*k + b and give w.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 457.9687 grams to tonnes.\nAnswer: 0.0004579687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 265373 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - u + (1 - 1 + 1)*((u + 0*u - 2*u)*(-2 - 4 + 0) + 2 - 2 - u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 420790 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5934 * -2\nAnswer: -11868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w + 15. Let f be ((-6 - -1)\/1 - -7)\/2. Let z(k) = k + 1. Give f*r(t) - 3*z(t).\nAnswer: 3*t + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2401 and 2303?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 3 - 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 7:58 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 168.3681 litres?\nAnswer: 168368.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from ghfwhofr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 70*a**2*s**2 - 23*a*s**2 + 1381*s**2 wrt a?\nAnswer: 140*a*s**2 - 23*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -786*k**3 - 665*k**3 + 1150*k**3.\nAnswer: -301*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1243 - -34?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/100)\/(93\/248)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 241?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2652 divided by 2.\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4147 and 2204.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*x - 26 = -4, n + x - 24 = 0. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1960 and 1960?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -142. Suppose 4 = l + 2. Suppose -l*c + 414 = n. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from flffflfylfflglfiyfsl.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 179\/12 - 85\/6. Let y = 0.156 - 0.556. Sort -3\/4, w, y in decreasing order.\nAnswer: w, y, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 234 and 4446.\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j**5\/5 + 757*j**4\/5 - 127*j**3 = 0. Calculate j.\nAnswer: -127, 0, 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*s = 10, 4*s = -4*t - 346 + 362. Calculate the smallest common multiple of 8 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23882, -23886, -23890, -23894, -23898?\nAnswer: -23902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**28*s)\/s**14*s**(2\/7)\/s*s*s**(-1\/6)*s assuming s is positive.\nAnswer: s**(677\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*q + 30 = 0, 4*q + 38 - 50 = 4*w. What is the biggest value in -2\/3, w, -0.012?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2885 - -2844.22. Let k = y - -41. Let q = 7.1 - 7. Is k <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -8*m**3\/9 + 5834*m**2\/9 - 357676*m\/3 + 380666 = 0.\nAnswer: 13\/4, 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 - -40. Let i(h) = -4*h**2 + 17*h - 17. Let s(o) = -o**2 + 4*o - 4. Let u(y) = 2*i(y) - 9*s(y). Determine u(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g + 21*g - 2*g + 44*g - g**3.\nAnswer: -g**3 + 53*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b6ab1 + -5?\nAnswer: 1b6aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3686 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -195b (base 13) in base 14?\nAnswer: -1550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 65 - 49 = 0. Suppose -a - 2*n + 8 = 0, 4*a + x*n = 7*n - 12. Which is smaller: 1\/356 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1917\/(-18)*((-1587)\/315 - -5) + -4\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.4, 1\/9, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0385 from -0.037911.\nAnswer: 0.000589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 678, 1076, 1476, 1878, 2282, 2688?\n\"Answer: j**2 + 395*j + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 14, -5, 0.5 in descending order.\nAnswer: 14, 5, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (235\/(-705))\/((-2)\/(-12)). Which is the second smallest value? (a) -1\/7 (b) q (c) 5 (d) -338 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. Let t(c) = 6*c - 41. Let a be t(7). Which is bigger: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17673.075 to zero dps.\nAnswer: 17673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o**2 - 2*o - 2. Give p(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -5\/24, 2, 0.2 in decreasing order.\nAnswer: 2, 0.2, -5\/24, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 392138.5mm in nanometers?\nAnswer: 392138500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(693)\/sqrt(99) + -5 + sqrt(63)*2 - (-1 + 0 + sqrt(252)))**2.\nAnswer: -8*sqrt(7) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*sqrt(684)*1 + 4))**2.\nAnswer: 2400*sqrt(19) + 68800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -548516 or -548520?\nAnswer: -548516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12533443 (base 6) to base 15.\nAnswer: 83790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/18*-3*33. Suppose 1 = r - v. Suppose -2 - 3 = 5*w, 0 = -4*k - 2*w + 30. Solve -k - r = 5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39281?\nAnswer: 11, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5089.923 millilitres?\nAnswer: 5.089923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 3*u + 11)*(55*u + 88*u - 53*u).\nAnswer: 270*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, r: 1, i: 3}. Give prob of picking 2 n and 2 i.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*j + 180*j = 1184109. What are the prime factors of j?\nAnswer: 3, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119 - 175. Let l = -61 - f. Let v(p) = p**2 + 7*p + 7. Give v(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -3, 64, 0.12 in decreasing order.\nAnswer: 64, 0.12, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4697 - -4701. What is the greatest common factor of w and 570?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-12)*(-16)\/40?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/25536 and 137\/18.\nAnswer: 76608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 0*o + 43*o**2 + 2 + 3*o - 9*o + 41*o**2. Let w be k(-3). Suppose d - 4*d = 4*c - w, 2*c - d - 378 = 0. List the prime factors of c.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 5) to base 14\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 x when three letters picked without replacement from {m: 1, i: 2, x: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfflqk. What is prob of picking 2 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**(-2\/5)*(j*j**(-2))**(-4\/5))\/((j**(-3))**(12\/11))**(-3\/2) assuming j is positive.\nAnswer: j**(-226\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4763661 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 409872?\nAnswer: -409868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 569 = 4*h - y + 4*y, 551 = 4*h - 3*y. Calculate the greatest common divisor of h and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4854, 9713, 14574, 19437, 24302, 29169?\nAnswer: 34038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45038711.7 rounded to the nearest one hundred thousand?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*i**3 - 277*i**3 - 80381*i**2 + 99 + 80381*i**2.\nAnswer: -2*i**3 + 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 43320 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t*t**(-5\/3))))\/(t**(2\/13)\/t)*t**(-2\/15)\/t*t*t\/t**(-9)*t assuming t is positive.\nAnswer: t**(783\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2420 and 41581480?\nAnswer: 5031359080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27206645 by -5441329.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-7) + (-46)\/(-14). Let u(n) be the second derivative of n**4\/6 + n**3\/3 + n**2\/2 - n. Let j be u(-2). Put m, j, 4 in increasing order.\nAnswer: m, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -72*p**3 - 11*p**2 - 6*p - 4. Let x(f) = -84*f**3 - 12*f**2 - 7*f - 5. Determine -6*i(d) + 5*x(d).\nAnswer: 12*d**3 + 6*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -540 - -936. Is 36 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 8*n**2 - n + 9. Let h be v(8). Find the common denominator of h*2\/((-84)\/(-57)) and -89\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -316, -548, -736, -862, -908, -856?\n\"Answer: 3*a**3 + 4*a**2 - 265*a - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 708 = -5*c. Let i be ((-16)\/(-12))\/(2\/c). Let d = i - 81. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 676 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 904*w**3 - 1807*w**3 + 902*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(-6)\/144 - (-23997)\/18. Suppose -3*f - f = -j - b, -3*f - j + 991 = 0. Calculate the highest common factor of f and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015351654 to four decimal places.\nAnswer: 0.0154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3271 - 5568. Let l = 44751875161\/19476764 - -3\/1145692. Let d = a + l. Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11406226 (base 7) to base 2.\nAnswer: -11110110101110100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 2. Let u(y) = y + 3. Let s(b) = -3*o(b) + 2*u(b). Let i(t) = 12 + 5*t + 11 - 25. What is i(j) + 6*s(j)?\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225, -452, -679, -906?\nAnswer: -1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0389177 and 5?\nAnswer: 0.1945885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -38, -4, 0, 11411.\nAnswer: -38, -4, 0, 5, 11411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(-8)*(t**1)**(-37)*(t**1\/t)**(1\/17)*t**(2\/19)\/((t\/(t*t**(-5)*t))\/t) assuming t is positive.\nAnswer: t**(-910\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -8.9049.\nAnswer: 0.89049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 12:16 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((27\/(-9))\/9)\/((-13)\/(-29835)*15).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -16, -48, -94?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-3963)\/30 - (-1)\/(-10). What is the tens digit of 4\/4*w - 1*5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 376523522 and 2.\nAnswer: 376523524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r - 17 = 0. Let w = r - 12. Suppose 0 = -5*l + z + 1524, 3*z = w*l - 4*l - 302. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**5\/120 - z**4\/24 + 3*z**2\/2 - 2. Let v(o) be the second derivative of s(o). Factor v(h).\nAnswer: -h*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14782 and 8398?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6187.3 at least -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 3\/(9\/564). Let d = -467 + v. Let i be (-4)\/(-14) + d\/(-56). Calculate the greatest common divisor of i and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 - -0.05. Let b = r + -3.93. Let k = 6.048 + -5.648. What is the second biggest value in 5, k, b, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 5*v**2 + 2*v + 7. Let z be u(4). Let w be (-5)\/15*(13 + z). Which is the biggest value? (a) 2 (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**4\/24 + p**3\/6 + 3*p**2. Let o(i) = 3*i**3 + 4*i - 4. Let a be (-1)\/5 - 18\/(-15). Let y = a + 3. Determine y*d(m) + o(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*o**4 - 1245*o**2 + 1245*o**2 + (2*o**3 + 2 - 2)*(4*o - 4*o - o) + 332*o**2 - 332*o**2 + 34*o**4.\nAnswer: 50*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 24*i + 4. Let q(l) = 5*l + 1. Let c be 15\/45 - (-22)\/6. Suppose c*n + 2 + 6 = 0. Let u(v) = n*j(v) + 11*q(v). Differentiate u(b) with respect to b.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -15*m**2 - 664*m - 4008. Calculate s(-6).\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 386*p**3 + 43*p**4 - 388*p**3 + 0*p**4 - 23 wrt p.\nAnswer: 172*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j. Let f(w) = 5*w + 8. Let m(a) = f(a) + 4*g(a). Suppose 4*x - 30 = 6*x + 4*u, -75 = 5*x + 4*u. Let v be x\/3 + 7 - (2 + 0). Determine m(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z - 1. Let c be ((-10)\/15)\/((-2)\/(-6)). Let d = -1 - c. Determine v(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 505341 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1539097 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3828, 7674, 11518, 15360, 19200?\n\"Answer: -f**2 + 3849*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-27) - 593\/(-9). Find the third derivative of -5*a**5 - 66*a + h*a + a**2 - 3*a**5 wrt a.\nAnswer: -480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-7)*w\/w**2)\/(w**(-2\/17)\/(w**(-2\/27)\/w)))**(-2\/135) assuming w is positive.\nAnswer: w**(8222\/61965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.41 (c) 2\/5 (d) 3\/625\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*-2*(-3)\/(-60399). Which is smaller: -2\/3 or j?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**3\/7 - 3216*o**2\/7 - 6441*o\/7 - 3222\/7 = 0. What is o?\nAnswer: -1, 1074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 1 + 3)*(-17 + 37 - 8)*(-x**3 + 0*x - 2*x + 3*x**3) to c + y*x**3 + i*x**2 + h*x and give y.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 1 - 1)*(-2*o + 0 - 2 + 0*o)*(-434 + 221 - 228).\nAnswer: -882*o**2 - 882*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24198 - 24198.4. Which is the nearest to 138? (a) -0.1 (b) h (c) 0 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/4)\/v*v\/v**9*(v**(-16))**(-1\/18) assuming v is positive.\nAnswer: v**(-283\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45.2 - -45.197316. Round p to four decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**4 + 8\/3*t + 26\/9*t**3 + 4*t**2 + 2\/15*t**5 + 1. Suppose k(l) = 0. What is l?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25 + 25 - 3*k**4 + (4*k**3 - 2*k**4 - 4*k**3)*(-1 + 6 + 5).\nAnswer: -23*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 10*n**2 + 4. Let a be f(10). Suppose -a*h = -5*o + 9, -13 = -5*o - 0*h + 3*h. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 2*b. Let y(m) = m**3 - 9*m**2 + 8*m - 7. Let t be y(8). Let d(x) = -3*x**2 + 6*x - 1. What is t*p(c) - 2*d(c)?\nAnswer: -c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 116578 and 231?\nAnswer: 349734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -209 or -64\/11?\nAnswer: -64\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.54 + -0.48. Which is the nearest to 2\/3? (a) f (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4284\/1054 - (-1)\/((-1)\/4)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44324 - 4?\nAnswer: 44320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000204 rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*s**5 + 71673*s**3 + 5*s**2 + 2363689*s - 1?\nAnswer: -120*s**3 + 430038*s + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8*1 - (-12 + 184\/48). Let v(p) be the first derivative of -1\/12*p**4 + 0*p**3 + x*p**2 - 13 + 0*p. Factor v(o).\nAnswer: -o*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -4, -0.268, -1\/7, -52.4 in ascending order.\nAnswer: -52.4, -4, -0.268, -1\/7, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 76036940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 238141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 14.9. What is the closest to 1 in j, -1, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 9 - (1 + 16 + -10 + -11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8768 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 167. Let l(a) = 2*a + 387. Let d(b) = -14*g(b) + 6*l(b). Let x(z) = -3*z - 32. Give 7*d(k) - 4*x(k).\nAnswer: -2*k + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10150*y + 9221737 - 9221737 - 1882*y to the form t*y + h and give t.\nAnswer: 8268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 2*b + 0*b = 4, 4*b = 3*t + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**3 + 4*u + 10. Let g(c) = -c - 1. Let y(d) = -4*g(d) - o(d). What is the first derivative of y(x) wrt x?\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -263 - 771856\nAnswer: -772119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*z = -80, 5*c - z - 4 = -120. Does c = -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 83*r**2 + 111*r - 218. What is the least common multiple of 336 and l(2)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -0.02535.\nAnswer: 0.17465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 2) in base 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(1\/23))*s)**(-3\/14)\/(s\/s**(-23)*s*s*s*s\/(s**7*s)) assuming s is positive.\nAnswer: s**(-3256\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**5\/60 - q**2 - 7*q + 94. Let p(b) = 1440*b**2. Determine p(t(o)).\nAnswer: 1440*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.1176 rounded to zero decimal places?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/6162 and -155\/174.\nAnswer: 178698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1437811094?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.065429 + -9.5076.\nAnswer: -9.442171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1172 is divided by 466.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -15 - ((-7 - -2) + 2). Let o be x\/189 + 10\/(-45). What is the smallest value in 1, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 3\/168079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.03 - 0.03. Let c = 220 - 220.4. What is the biggest value in d, c, 4\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5304257.\nAnswer: 7, 757751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98 and 140.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -8 + -50 + 55.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 269.5817 + -269.3. What is a rounded to three decimal places?\nAnswer: 0.282","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -612ea76 - -a?\nAnswer: -612ea6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 23*g + 62. Suppose 2*f + 386 = 382. Let y(q) = 23*q + 66. Let a(w) = f*y(w) + 3*o(w). Differentiate a(l) wrt l.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106 - 106 - 110*u)*(-2*u**2 - u**2 + 4*u**2) + (3 + u - 3)*(5 + 2*u**2 - 5).\nAnswer: -108*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3633227.\nAnswer: 13, 279479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3134605 times 9\nAnswer: -28211445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1602 - 1603. Let l(b) be the second derivative of -13*b**3\/2 + 9*b**2\/2 - b. Is 10 a factor of l(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + 3 + sqrt(605) + 0 - (4*((sqrt(5) - 1*sqrt(5)*2) + -2))**2)*-1.\nAnswer: 53*sqrt(5) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t - 29*q + 119 = -22*t, -23 = -t - 5*q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((4\/18)\/((-45)\/(-1215))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7003.822ml to litres.\nAnswer: 7.003822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14500512 (base 6) in base 4?\nAnswer: -1323130130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j - 193. Let o(z) = 2*z. What is h(o(t))?\nAnswer: 4*t - 193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 9:30 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3083*r + 1044 = -2996*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*j + 81 - 162 - 235. Put 2, j, 1, -1, -87 in descending order.\nAnswer: j, 2, 1, -1, -87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 11014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 9*b + 9. Calculate d(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/25)\/(57\/(-190)). What is the second smallest value in k, -0.2, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4845082513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 32?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 53025*i**3*q*w + 2*i**3 - 10*i**2*w - 549*i**2 + 2*i wrt q?\nAnswer: 53025*i**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1004114213 (base 6) in base 12?\nAnswer: -3535969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(32)\/(sqrt(16)\/sqrt(4))) + sqrt(13) + sqrt(13)*1*-1 + sqrt(52) + -1)**2.\nAnswer: -6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22c13 (base 14) in base 6?\nAnswer: -1452025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 16*a + 1 + 6*a.\nAnswer: 25*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 8*q**2 + 3*q + 5. Let r be t(7). Let k = r + 33. Suppose v = 6*v - k. Solve 2 = 2*g + m, v*g - g + 5 = m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 8*z**2 - 10*z - 6. Let x(l) = l**3 + 8*l**2 - 9. Let w be x(-8). Let a be q(w). What is the remainder when 80 is divided by (a\/2)\/(1\/18)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -113\/682 + -1\/62. What is the closest to 0 in 0.5, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12012 is divided by 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*a - 2. Is 7 a factor of (-10 - -8) + (a - -33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(6*(sqrt(36)\/sqrt(4) + sqrt(9) + sqrt(9))).\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q. Let r(u) = u - u + 3*u + 2*u. Calculate p(r(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 1 - (-91 - (55 - 174))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7767 divided by -3069?\nAnswer: -863\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 8*((-29704)\/(-32) - 17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d6 + 24?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -50*q + 28. Let l(u) = -49*u - 7*u + 23*u + 19. Let j(p) = -5*f(p) + 8*l(p). Let o(m) = m - 1. Calculate -j(a) - 12*o(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-438)\/(-60) + (48\/80)\/3)\/(3\/(-20))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1799793.1 days to weeks.\nAnswer: 257113.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49 + 330*s + 965 + 1497*s**2 - 1492*s**2 + 226.\nAnswer: 5*(s + 4)*(s + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + c**2 + 486. Let k be g(0). Let m = -935\/2 + k. What is the common denominator of -31\/9 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**5\/2 + 79*w**4\/2 + 223*w**3 + 292*w**2 = 0.\nAnswer: -73, -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12063?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5424656 (base 7) in base 6?\nAnswer: 22104422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1181953 to the power of 1\/2, to the nearest integer?\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2 - 2102*w - 4291728 = 0.\nAnswer: -1272, 3374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61064 and 152728?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 470723 times -0.013\nAnswer: -6119.399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19752.4532 + 19737. Let o = 0.0468 - u. What is the third biggest value in o, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**2 + 8*s + 6*s - 14*s.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*r + 5*r + 35 = 0, 2*r = -2. Let y be (z\/(-5))\/(4\/(-40)). Solve d - 3*g + g = 8, -4*d - 4*g = y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 - -78. Suppose 163 = 12*k + 152 - 145. Calculate the remainder when r is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 20826*p + 457680. Give z(22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**6\/3 - 26*i**5\/5 - 9*i**4\/2 + 242*i**3\/3 - 40*i**2 - 312*i + 1611. Solve y(f) = 0 for f.\nAnswer: -3, -1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -6724479\/4 and -1681121 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -341 + 345. Suppose -3*q = -r + 10, 0 = -4*q + 2 + 2. Suppose 0 = -5*f + 3*t + r, j = t - 0*t. Solve -y - m + 11 = m, f*y - 16 = 3*m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -1 + 0*f**3 + 0*f + 4\/5*f**5 + 0*f**4 + 3\/2*f**2. What is the second derivative of x(a) wrt a?\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + 20*x**2 - 8*x**2 - 11*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -596332.8\nAnswer: -119266.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3324 = -8*u + 3*b, 2*b + 1117 = -u. Let o be 15\/(-40) - (-97919)\/(-88). Let x = u - o. Find the common denominator of -7 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35.775 + 0.225. Is o bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413043356.\nAnswer: 2, 11, 17, 19, 29063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4800) + sqrt(4800) + -3 + -2.\nAnswer: -5 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100 - 68. Suppose -6*p - h = -10*p. What is the smallest common multiple of 4 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.72581 to two decimal places.\nAnswer: 1.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 10859, 0, -3 in descending order.\nAnswer: 10859, 2, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.15, -23325, -2\/3, 4 in decreasing order.\nAnswer: 4, 0.15, -0.5, -2\/3, -23325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 10*a**3 - 21*a**3 + 17 + 9*a**3 to z*a + r*a**2 + k*a**3 + b and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qldeql. What is prob of picking 1 e and 1 l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from xxb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1035 - 3*q**2 + 6*q + 0*q**2 - 6*q + 1065.\nAnswer: -3*q**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*r - 267 = 1879 + 374 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94047 or -94059?\nAnswer: -94059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1955\/(-34) - -58) + (42\/4 - 0). Solve -2*v + 10 = -4*r, 7*r - 9*r - h = -3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.904381 milliseconds to seconds.\nAnswer: 0.006904381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2099 + 2105. Let b = 16 - 22. Let p be (30\/(-9))\/((-4)\/b). Put p, q, -3 in decreasing order.\nAnswer: q, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24 + 0*y**2 - 37*y**3 + 13*y**3 + 7*y**3 + 3*y**2 + 30*y + 14*y**3.\nAnswer: -3*(y - 4)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.65 and -0.01.\nAnswer: 0.0565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.1369km to millimeters.\nAnswer: 67136900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 s when three letters picked without replacement from {u: 1, d: 2, s: 2, n: 2, a: 1, y: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 6*x**2 + 5*x - 2. Let u be s(5). Let f = -4990\/111 - -134\/37. Let p = f - -42. Which is the nearest to -3? (a) 5 (b) p (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2068 minus 0?\nAnswer: 2068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 222 = -5*l - 227. Let j(o) = -48*o + 1. Determine j(l).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 4*q**2 - q. Calculate z(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -3282?\nAnswer: -3276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(-1)\/c*c)\/c)\/(c*c**(-2\/33)*c))\/((c\/(c**(-2)*c))\/c**4))**48 assuming c is positive.\nAnswer: c**(-496\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (6 - 3 - (-1 - 10) - -6)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 0.3. Let k = -5 - -8. What is the nearest to -1\/4 in k, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8355182 at most as big as -8355182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*d, 2*y + 3*d = -3*y - 9. Let c(h) = -2*h**2 - h - 1. Let s(t) = -t**2 - 6*t - 6. Let k be s(-5). Let v be c(k). Put v, 5, y in ascending order.\nAnswer: v, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**4 - 5*d**3\/3 + 3*d**2 - 155. Let t(n) = -13*n**3 + 14*n**2 - 17*n. What is -4*t(o) - 11*w(o)?\nAnswer: 8*o**3 - o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1238988.1 rounded to the nearest one thousand?\nAnswer: 1239000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*q + 782 = 96*q. Let d = -452 + q. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (5589\/115)\/9*25\/3 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + 18 + -466 + 581 + (-3 - -2).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 245052 (base 7) in base 4?\nAnswer: 22332222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -178*p + 3. Let f(h) = -73870*h + 1246. Determine 6*f(t) - 2492*q(t).\nAnswer: 356*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 + c + 2. Calculate m(5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4515 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 435.9? (a) -0.1 (b) -3 (c) -2\/149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 - 5 - 2*s + 3*s**2 + 4. Let w(a) = -a**3 - 5*a**2 + 4*a - 10. Let p be w(-6). Is z(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4237 = 2*u, -12*d - 4*u = -8*d - 5616. What are the prime factors of d?\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**4 + 3322*b**2 + 3*b - 1655*b**2 - 1665*b**2 - 8 to f*b**4 + l*b**3 + n*b**2 + o*b + t and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 0 + 0*z**4 + z**2 - 1\/10*z**5 + 0*z**3 - 7*z. Let v(p) = -17*p**2. What is y(v(o))?\nAnswer: -1734*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 7 = z. Suppose -5*q - m + z = 0, -2*q - 2*q - 3 = -5*m. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, q: 1, w: 10, t: 3}. What is prob of picking 1 w, 2 t, and 1 v?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009653079402 rounded to six decimal places?\nAnswer: -0.009653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 - 125 - 8773511*b**3 + 8773513*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 2:45 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 14 = 7*d, -6*d = -5*d - 4*q + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-4))\/(5\/15)*(-2496)\/36. Solve -6 = -102*v + y*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 - 4 + 6 + 5*q**2 + (2 + 0 + 11)*(q**2 + 0*q**2 + 0*q**2).\nAnswer: 15*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - 5*(1*sqrt(119) + sqrt(119)) - sqrt(119))\/(sqrt(1008)*1))**2.\nAnswer: 425\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.5 (c) -3 (d) 1.98 (e) -305 (f) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 23 + 17 = 0. Let w(f) = 3*f**2 + 11*f + 7. Let o(i) = 2*i**2 + 6*i + 3. Let y(l) = -5*o(l) + 3*w(l). Determine y(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + z**2 - 18*z + 26 + 2*z - 6*z**2 - 9. Let d be i(7). What is the highest common factor of 33 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(2\/17)*w*w\/(w*w**(24\/5))*w*w*(w\/w**(1\/20))**(-42) assuming w is positive.\nAnswer: w**(-6899\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 2 = -7*c + 3*c, u + 10 = 4*c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + 0)\/(9*10\/90). Let k be 12\/((-72)\/(-30)) - w. Factor 1\/5*b**5 + 0 - 1\/5*b**k + 0*b - 2\/5*b**2 + 2\/5*b**4.\nAnswer: b**2*(b - 1)*(b + 1)*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 - 0. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - 1 - 0)*-1. Suppose -5*o = -3*d - 9, 0*d - 5*o + 5 = -5*d. Solve 0 = -s + 5*r - p, -4*s + 0*r - d*r = 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**4\/4 + 15*w**3\/2 + 27*w**2\/4 = 0. What is w?\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 425 = w + 426, 0 = -4*w - 9*o + 22 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0*i - 2*i + 183, -165 = -2*i + f. Calculate the remainder when i is divided by (-17)\/((-85)\/(-20)) - -21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23 (b) -2\/7 (c) 1\/4 (d) -8\/7 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*f - 112. Suppose -2*g = -0*g - f. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103203201 (base 4) to base 7\nAnswer: -452343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 145*w**2 + 595*w + 7225.\nAnswer: 5*(w - 17)**2*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-14)\/(-5))\/(1\/(-5)). Let j = 9 + t. Let g = 33 + j. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 + 1204*f**2 - 7120*f - 19072.\nAnswer: -2*(f - 596)*(f - 8)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2967837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/((-115)\/(-105)))\/((49\/42)\/7)?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 - 4. Let z(i) = i**3 - 5*i**2 - 7*i + 6. Let x be z(6). Let y be w(x). Sort y, 4, 17 in decreasing order.\nAnswer: 17, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -16*h + 1536. Let f be o(93). Let p(w) = 8*w - 385. Determine p(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 22545201?\nAnswer: -22545155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -6 + -9 - 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-2 + 31\/16). Suppose -4*s = -t - 40. What is the remainder when s is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 89 - 17. Suppose -s = -7*c + 6*c. Suppose 2*j = c - 4. What is the greatest common divisor of j and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 + 39*c + 37. Give d(21).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.086539 + -0.0858. What is a rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10 + (-143)\/65.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -575 + 906. Let m be (-446)\/(-4)*(-4 - -2). Let z = m + x. Is 30 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from rxpyy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1576.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -100*x**3\/17 + 13086*x**2\/17 - 211248*x\/17 + 914166\/17 = 0.\nAnswer: 9, 5643\/50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*c - m - 36, 3*c = 3*m + 27. Let s be 32\/6*(-5 + c). Let g = -14 + s. Solve -2*x = 2*u - 10, -3*x + g*u + 14 = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/18)\/(386\/(-3474))*(-1)\/(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*w, -2 = -2*h - 0*h + w. Let v(l) = l + 4*l**h - 5*l**2 + 0*l**2 - l**3 + 2*l**2 + 5. Let y be 2 - 3\/((-6)\/(-4)). Determine v(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, m: 3, r: 1, z: 2}. What is prob of sequence cz?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 283a05 (base 11) in base 13?\nAnswer: 1273a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*r**4\/4 + 41*r**3\/2 + 21*r**2\/4 - 72*r.\nAnswer: -r*(r - 3)**2*(19*r + 32)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8*l**2 - 309*l + 14159. Calculate p(27).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55923, 55928, 55933, 55938?\nAnswer: 55943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89 * -0.4.\nAnswer: 35.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.8386412 months to years.\nAnswer: 0.1532201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - -22. Let q be (-1)\/(((-6)\/4)\/(-3)). What is the remainder when u*3*q\/(-18) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*u**3 - 46*u**2 - 482*u + 482*u + 4*u**3 wrt u.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 5*p. Let d(k) = k. Let y(t) = -5*d(t) - j(t). Let w(c) = -7*c. Give y(w(s)).\nAnswer: 49*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (36\/9)\/(1 + -23)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2420))\/(sqrt(10) + (sqrt(10) - ((sqrt(360)*-2 - sqrt(360)) + sqrt(360))) + sqrt(10)) + -4.\nAnswer: -4 + 22*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**2 - 8*b**2 + 233*b**3 + 156*b**3.\nAnswer: 389*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 8:25 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 402, 547, 944, 1719, 2998, 4907?\n\"Answer: 21*s**3 - 2*s + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 5220474*p + 2271112398723.\nAnswer: 3*(p - 870079)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 2:57 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 40940484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2000\/(-1800)*18\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1814610942, -1814610940, -1814610938, -1814610936, -1814610934, -1814610932?\nAnswer: -1814610930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 11 - 35 - y**3 + 5*y + 19 + 2*y**3 - y**2. Let d be z(4). Let m(v) = 9*v**2 - v - 1. Let s be m(-1). Calculate the greatest common factor of d and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2413, -4497, -6251, -7675, -8769, -9533?\n\"Answer: 165*j**2 - 2579*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3734 = 3*y, 82*z + 2976 = 86*z - 4*y. Is 749 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36626 - -2.6\nAnswer: -36623.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lcazflculcllacc. Give prob of sequence lluz.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 0*d + 18 - 1\/2*d**2 = 0.\nAnswer: -6, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4321167 is divided by 617305.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4444*m + 4445*m - 23214 + 23214.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8168730 + -4300730. What is w rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -3)*4\/(-8). Suppose f = -0*q - 2*q - 8. Let y = 8 + q. Solve -4*u = h + 20, y*h = 6*h + 2*u + 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1748)\/(-4140))\/19)\/((1*-1)\/(-12))\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, 0.3, -10\/19, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11332 (base 7) to base 3.\nAnswer: -10222221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -18, -1, -2 in descending order.\nAnswer: -1, -2, -18, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 2)*(-3*l + 5*l + 7*l) - 64*l + 151*l + 56*l in the form a + k*l and give k.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -11. Let t = l + 24. What is the greatest common divisor of t and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3, 2*l = x + x - 84. Let m = -35 - l. Solve 2*u = -0*u + m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102 - -288. Does 23 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42*(35\/14 + -2). Let i be 7\/(-2)*(16\/k)\/(-4). What is the closest to 0.1 in i, 5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15020*i + 96695 = -954705 for i.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*l + 5096 = -887*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 + -1.6. Let u = 5 + 5.2. Let i = u - 10. Which is the nearest to i? (a) 0 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(208) + 1 + -3)*3 - (sqrt(208) + -1 + 1 + -4 + sqrt(208) + 1 + sqrt(208))**2) + 4)*2.\nAnswer: -3766 + 168*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -42\/143, 0.1, 0.5?\nAnswer: -42\/143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.912781672 to 2 decimal places.\nAnswer: -0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1986176 to the nearest integer?\nAnswer: 1409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*b**4 - 2*b**3 + 2*b**5 + 4*b - 20*b**4)*(2 - 7 + 1).\nAnswer: -8*b**5 + 8*b**3 - 16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.6 - -87.6. Let r = 81.38 - y. What is r rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 8:45 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1131*z + 1220*z - 801 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*x**4 - x**3 + 360*x**2 - 114*x**2 + 2 + 6*x**4 - 120*x**2 - 2*x - 121*x**2 to o*x**4 + f*x**2 + y*x + v + s*x**3 and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 321 - 3331?\nAnswer: -3010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-2 - -4 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3099605.\nAnswer: 5, 619921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006435 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3935*j**2 + 12*j - 3922*j**2 - 2421*j**2 + 10291*j**2.\nAnswer: 13*j**2 + 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + m - 2. Let r be j(2). Let o(h) be the third derivative of h**5\/60 + h**4\/24 - h**3\/3 + h**2. What is the tens digit of o(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 - 1374*d**3 - 9704*d**2 - 8328*d.\nAnswer: 2*d*(d - 694)*(d + 1)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/579157 and 13\/15071.\nAnswer: 4054099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-272)\/(-34) - (7 - 0 - 1). Solve -1 = -r, -t = -c*r + r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.11 and 415?\nAnswer: 415.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116524?\nAnswer: 2, 29131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f**(1\/68)*f)\/f))\/((f**(-8\/5)\/f)\/f*f))\/((f**(-4\/5)*f)\/f)**18 assuming f is positive.\nAnswer: f**(1223\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467586 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 6:49 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - 858\/33)\/(36\/(-60)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8991077 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 12*a**2 - 4*a - 16. Suppose 5*s = s - 4. Let p be -1*(0 + s)*-12. Does 11 divide k(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 742441 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -26968382*-0.1\nAnswer: 2696838.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4008*448.33\nAnswer: 1796906.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 11:19 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*q + 30 = 0, -q + 32 = -4*k - 0*q. Let h(m) = 4*m + 18. Let v be h(k). What is v rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15173*s**3 - 2*s**2 + 1894*s wrt s.\nAnswer: -91038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -526 or -585\/1043?\nAnswer: -526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g + 3*g - 57*g**2 - 466 - 12*g**2 + 466 - 38*g**2.\nAnswer: -107*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -91 - (-99 - -54 - -27).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**2\/4 - 14732469*k\/2 - 72348547611987\/4 = 0.\nAnswer: -4910823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) 2\/19 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from kjkgjijgkjij.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z. Let w(v) = -3*v + 3. Let m(k) = 4*a(k) - w(k). Let c be m(-3). Let y(l) = -l + 8. What is y(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.1594 and 1752321.\nAnswer: 1752323.1594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -172, 3\/5, -8, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.34 - -8.387. Let j = -0.047 + x. Which is the second biggest value? (a) 1\/6 (b) j (c) 2\/19 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3439788*r**3 - 11*r**2 + 662*r + 16?\nAnswer: 20638728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.95757 + -82.5.\nAnswer: -81.54243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + -17 + 14\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112.238 rounded to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 86.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -26665 smaller than -26819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23.5 * 224.\nAnswer: 5264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 3213?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/5 - (-78)\/5. Suppose 4*v - 1 = -a, -5*v - k + 1 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.06 and -0.1098.\nAnswer: -0.0498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 31*i**2 - 1 - 24*i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**3 - 2*p**2 + 4*p - 4. Let s be j(2). Is 9 a factor of ((-48)\/s)\/(1\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -836, -1671, -2506, -3341, -4176?\nAnswer: -5011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 5*j**2 + 4*j - 4. Let w be d(-6). Let g be w\/44 + 1008\/22. Is g\/(-8)*(-1 + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12031891527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/2*(-45)\/6*(-6)\/10. Solve i*n + 3 - 30 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6472 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 3*x = 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 3*r + 88, -4*f + r + 88 = -4*r. Suppose 0 = -5*c + 15 + 10. Suppose -3*s = c*k - 109, -5*k - 4*s + 85 = -f. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-4))\/((-1)\/64). Let i be 2\/(-2 + b\/(-14)). Let h(r) = 7 - i + 3*r**2. Let m(z) = -2*z**2. What is m(h(l))?\nAnswer: -18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 149 + -144. Suppose q*o = 4*y + 15, 4*y = -o - y - 26. Are o and 2\/333 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.15 (b) -0.5 (c) -1\/4 (d) -1\/3 (e) 5\/4 (f) -2\/149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*w - 350129 = -336429 for w.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/13 in -3, 0.2, -7078?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*b - 4*a, 3*b - 1 = a + 7. Suppose -12 = -b*p, 2*p + 4 = -2*l - l. Let h = l - -40. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.65721 to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2838\/7 - 45807\/112. Calculate the common denominator of 415\/25*5\/(-2) and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32)\/(-18) + -2 + (-387)\/81. Sort 1\/2, v, -2\/13 in decreasing order.\nAnswer: 1\/2, -2\/13, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/3 - 0) + (0 - -37). Suppose 0*t + t + 4*f = 20, 3*t - u = -4*f. Calculate the smallest common multiple of t and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*v + 54*v + 23*v + 5*v as q + l*v and give l.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -127200 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 14) in base 9?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1551903374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 0. Let b be j\/4 - 14\/(-10). What is the second smallest value in -4, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*-2*-1*(((sqrt(1872) - (3 + sqrt(1872)))*3 - sqrt(1872)) + sqrt(1872) + 3 + 3))**2.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 51 + 3 = 0. Suppose -4*q + c = 3*u, -4*q + 4 = 2*u - 6*u. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139138814 divided by -69569407\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -a3b94 (base 13) to base 15\nAnswer: -5c271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 195293433 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19967.\nAnswer: 41, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 2*j**2 + 0*j - 1\/24*j**4 + 0 + 0*j**3. Let p(v) = -2*v - v + 0*v + 2*v. Determine s(p(u)).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000000 (base 2) to base 12.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*p + 227*p = -20, -5*p = 5*b - 95. Suppose -2*x + 4*w + 16 = 0, -w - 2*w - 3 = 0. What is the highest common factor of b and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23057096.\nAnswer: 2, 151, 19087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109177371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 11:23 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.02085327 to 3 decimal places.\nAnswer: -2.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/457 and -49\/8?\nAnswer: 3656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 - 2*u**3 - 2*u**3 - u**3 + 2*u**3 - 2*u**3 + (0*u - u - 3*u)*(-3*u - 2*u**2 + 3*u) + (2 + u - 2)*(-u + u + 2*u**2).\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 3. Suppose -d*n - 90 = -6*n. Let i(u) = u**2 - 2*u - 3. Let x be i(-2). Solve 4*z + 3*f + 22 = 0, x*z + n = -0*z - 5*f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 8*p - 15. Factor u**4 - 2*u - 11*u**4 + 2*u + 5*u**5 + 5*u**p.\nAnswer: 5*u**3*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 36*w**2 + 34*w + 37. Let a be b(35). Solve 0 = -a*x + 10 - 12 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 548812.718 rounded to the nearest 1000?\nAnswer: 549000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 10) to base 8.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 + -46. Let n = w - 3. Solve 0 = f + 3*m + 1, -2*f - n*m = 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*n - 4*n. Suppose 0 = 3*b + 3*c - 3, -2*b + 2*c + 40 = 50. Sort 0.02, 2, n, b in ascending order.\nAnswer: n, b, 0.02, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 2*z - 20, 6*n - 2*n - 20 = z. Let t be (-322)\/35 + 8 + 2. What is the nearest to 0.02 in t, n, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 23*n - 81. Let o be b(4). Solve -5*j - 4 - o = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.1283086 microseconds?\nAnswer: 0.0001283086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 5:28 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -440 + -5034?\nAnswer: -5474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -1619799.\nAnswer: -2\/539933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 165379276 and 248068914?\nAnswer: 496137828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -350181, -350246, -350325, -350418?\n\"Answer: -7*u**2 - 44*u - 350130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, -0.5, 0.2, 20.7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13799336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 0, 2\/3, -29, -1\/3 in decreasing order.\nAnswer: 4, 2, 2\/3, 0, -1\/3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 166*w**2 + 2711*w - 734. Determine b(-181).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 = 45*g - 5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ara when three letters picked without replacement from araraaaaarrr?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 872, 11989, 30516, 56453, 89800, 130557?\n\"Answer: 3705*y**2 + 2*y - 2835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + sqrt(2448) + -1 + 3 + sqrt(2448)*1 + 5)*-4*-5)**2.\nAnswer: 201600*sqrt(17) + 8832400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + 2 - -2 - (59 + -20)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 402898613?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133709478, -267418968, -401128458, -534837948, -668547438?\nAnswer: -802256928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(88) + sqrt(88) + sqrt(88))*-4)\/(6*(sqrt(8) + sqrt(56)\/sqrt(7) + sqrt(8))).\nAnswer: -8*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5876 rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4006, 8032, 12074, 16132, 20206, 24296, 28402?\n\"Answer: 8*g**2 + 4002*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 6 + 6269*g - 2 - 6256*g.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -2, 8.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0 = 18. Let v = p + -4. Suppose 296 = 2*d + d + r, -v*d + r + 199 = 0. Calculate the highest common factor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 95*d**3 + 10*d**2 - 21*d - 11. Let g(w) = -10*w**2 - 239*w + 22. Let b be g(-24). Let y(u) = 19*u**3 + 2*u**2 - 4*u - 2. Determine b*f(k) + 11*y(k).\nAnswer: 19*k**3 + 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 148.59 or 24472?\nAnswer: 24472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = -1. Suppose 0 = -5*a + 11 - 1, 2*k + 2*a = 14. Suppose -3*z + 5*z = 12. Solve m = d + f, 2*f - z*f = -k*d + 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypr when three letters picked without replacement from yiryjop.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 227 + -213. Suppose -f*k + 4067 = -3927. List the prime factors of k.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157 + 311 - 154 + 11137*x**2.\nAnswer: 11137*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/7*((-52)\/(-32) - 6\/(-16)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 1. Suppose 9 - 23 = -2*m. Suppose -m*s = -f*s. Solve -4*p + 3 - 15 = s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*(-3*-1*sqrt(65) - -3*sqrt(65)*-1)\/(sqrt(5) + (sqrt(125)*-3 - sqrt(5)) - (sqrt(45)*-6 - sqrt(5))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 1. Let w(c) = c - 3. Determine 2*w(z) + 4*x(z).\nAnswer: 6*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvkk. Give prob of sequence rv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17, -81, -39.98?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - j**2 + j + 1. Let o(p) = 5*p + 22397 - 22392 + 3*p**2 - 2*p**2 + 3*p**3 - 6*p**3 + 5*p**2. Determine -o(d) + 5*r(d).\nAnswer: -2*d**3 - 11*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwwwkwwwkwwwk. What is prob of sequence wwkk?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1693 + 3835. Let p = j - 2142. Determine x, given that p + 0*x**2 - 16\/3*x + 4\/3*x**3 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 5*y**2 + y**2)*(-6 + 2 - y**2 - 3).\nAnswer: 3*y**4 + 21*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*x - 85 + 28*x - 134 - 80 in the form a + f*x and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*w = -744. Calculate the remainder when w is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((72\/264)\/(3\/(-4)))\/(1 + 9). Which is the closest to -1\/4? (a) 5 (b) u (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*s + 18 = 0, -a = 2*a - 3*s. Suppose 6*c + 838 = a*k + c, -2*k - c + 576 = 0. What are the prime factors of k?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f - 18. What is the tens digit of r(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -10. Let g = -9 - w. Suppose 4*u - 20 - 6 = -2*j, -g = -3*u - 4*j. What is the remainder when 17 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -728259, -728062, -727865, -727668, -727471?\nAnswer: -727274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(2\/17)))**(-14))**(-1\/7) assuming r is positive.\nAnswer: r**(-4\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from ffftggbfbtititbfb?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*q**3 + 22*q**2 - 10*q - 4.\nAnswer: -2*(q - 2)*(q - 1)*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5893 - 3069 + 2*w - 2777.\nAnswer: 2*w + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 102. Let b be z(0). Suppose -5*a = -2*s - 0*a - 63, -2*a = -4*s - b. Let o = 25 - s. What is the remainder when o is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2294412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8)*((-5100)\/(-289))\/50.\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 524 = 10051. What are the prime factors of o?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.042, -1\/6, 3 in decreasing order.\nAnswer: 3, 0.042, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + -0.398. Let j = h + 0.0063. What is j rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 b, and 1 o when four letters picked without replacement from {o: 1, k: 2, b: 2, s: 1, v: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0248257 rounded to 5 dps?\nAnswer: -0.02483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**4 - 182*a**3 + 584*a**2 + 1880*a = 0?\nAnswer: -94, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-6) + 805\/(-525)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 8:21 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 478*b - 48886. What is t(107)?\nAnswer: 2260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -66*-1*4\/8?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3.1 (b) -0.4 (c) -4 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*y + 2*m, 2*m = -2*m - 4. Suppose 4*z + 5 = -2*s + 1, 10 = y*s - 3*z. Solve 0*p = -s*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65 + 74. What is the lowest common multiple of 1 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*l**2 + 2*l - 10*l**2 + 1 - 2*l**3 + 20*l**2 + 2*l to the form v*l**2 + h*l**3 + u*l + d and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -302962*43.\nAnswer: -13027366","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 - 70*k**3 - 345*k**2 - 700*k - 500.\nAnswer: -5*(k + 2)**2*(k + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 a when three letters picked without replacement from bbababbabbbbaabb.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4\/15 + 4*x**3\/3 + 56*x**2\/5 + 368*x\/15 + 256\/15 = 0. What is x?\nAnswer: -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9314*f**5 + 41*f**2 - 7140046*f.\nAnswer: 186280*f**3 + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**3)\/a**(-6))\/((a\/(a*a**(-2\/11))*a)\/a**(1\/2))*((a\/((a\/a**(1\/12))\/a))\/a**4)\/((a\/(a*a**7)*a)\/a**2) assuming a is positive.\nAnswer: a**(1901\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7072771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142499408?\nAnswer: 2, 3, 89, 267439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0208079198 to four decimal places.\nAnswer: 0.0208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 10. Let m be k(-7). Suppose d + 8*d = m*d. Suppose 13*i - 9*i - 352 = d. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 1:28 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(3421*p**2 + 2686805 - 2686805).\nAnswer: -6842*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 0 + 6*j**2 + 1\/30*j**5 + 0*j**4 + 1\/30*j**6 + 0*j**3 + 0*j. Find the third derivative of x(r) wrt r.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*t - f + 49, -5*t + 130 = 4*f. Let l = -16 + t. Solve -l = 3*w - 0*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2*1\/(-2) - 1) + 44. Suppose 3*l - l = i. Let k(b) = 12*b - 2. What is the remainder when k(7) is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 10932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 18 - 53. Let j = 7 + b. Suppose -5*f = 4*n + 11, 23 - 35 = -4*f + 2*n. Put f, -30, j in descending order.\nAnswer: f, j, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -137 + 150. Let w(u) = 100*u**2 + 97*u - 4. Is w(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4116*l - 1153*l - 1653*l to w + g*l and give g.\nAnswer: 1310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/29 (b) -0.5 (c) 3 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, k: 1, e: 3, y: 5, b: 1, v: 2}. Give prob of sequence vybv.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28265.34009 - 28294.5. Let b = p + 16.49174. Let x = b - -12.66. What is x rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 divided by -4?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 6*f + 5*f - 129, -5*m + 320 = -2*f. Calculate the least common multiple of m and 8.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*i + 44. Let l = -247 + 251. Suppose l*n = -4*o + 112, -8*o = -7*o - 4*n - 43. What is the remainder when o is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1400*t**2. Let s(z) = -z**2. What is v(s(d))?\nAnswer: 1400*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/5)*i*i**(1\/6))\/((i*(i\/(i\/i**(-19)))\/i)\/(i\/i**10)) assuming i is positive.\nAnswer: i**(377\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1 - 0) + -4 - -1) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p**2 + 14*p**2 - 113 - 5*p**2)*(5*p - 5*p - 2*p**2).\nAnswer: -4*p**4 + 226*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -242639.1 and -3260.1727?\nAnswer: 239378.9273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.55 - 1.6. Let s be 11\/(-22) - (-11)\/10. Which is the second biggest value? (a) 4 (b) p (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 + 96. Suppose -4*w + 2*w + 8 = z, 0 = -4*z + 3*w - 1. Let l be ((-1)\/(-2) + z)*2. Solve l*t - u = 2*d, 3*t = -5*d + t - 17 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 66643563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89582876*r**2*t - 5*r*t + 34*r - 14936*t wrt r?\nAnswer: 179165752*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + 69 + (-15 - -46)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(((-198)\/891)\/((-7)\/(-42))*3\/(-2))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(120)*-5)\/((sqrt(294)*-1 + sqrt(6) - sqrt(6)) + sqrt(6) - sqrt(6) - sqrt(6)).\nAnswer: 15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/(-64)*(-48)\/(-360)*-16?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/465 + 308\/465. Let i = 0 + 0.1. Which is the nearest to i? (a) -0.5 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2946515 by -55.\nAnswer: 53573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 15 (c) 3 (d) 0.36 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 323, 758, 1355, 2114, 3035, 4118, 5363?\nAnswer: 6770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347*s - 74 + 209 + 346*s + 771*s - 72 - 65.\nAnswer: 1464*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, 1 in decreasing order.\nAnswer: 7, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -2\/3*z**3 + 47*z + 0*z**2 + 0 + 1\/10*z**5 - 1\/6*z**4. Solve m(h) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1193612*y**3 - 19905*y**2 + 19 wrt y?\nAnswer: -7161672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 - 2*x**2 + 3 + 2*x**5 + 5*x**5 - 2*x**5 - x**5 + (-x**4 - x**4 + 4*x**4)*(0*x + 0*x + x).\nAnswer: 6*x**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46 - 1) + (-100 + -35 - -129).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 28 = 5*k, -5*u = -k + 2*k. Let l(q) be the second derivative of q**3\/6 - 3*q**2 - 45*q + 16. Give l(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 470*1*(-1)\/(-2). Suppose 2*d + 302 + 172 = 4*j, 3*d = 2*j - s. Suppose 2*x + v - 136 = j, -5*v + 132 = x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1300820 and 326170?\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 2, 9.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2975492*b**3 - 2 - 23*b**2 + 3*b + 2 - 2975487*b**3.\nAnswer: 5*b**3 - 23*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -71.3, 0.04, 3.2, 0.5?\nAnswer: -71.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qc when two letters picked without replacement from camummoqccac?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2560\/480 + ((-2)\/3)\/(-1). Solve i = -a + 12 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 563.2 and -2941.\nAnswer: -1656371.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 14e5?\nAnswer: -14e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 142, 142, 144, 148, 154?\n\"Answer: n**2 - 3*n + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279530.\nAnswer: 2, 5, 27953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4055821?\nAnswer: 7, 11, 52673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 73346*s**2 + 31040 wrt s.\nAnswer: 146692*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 268*d**2 - 9*d - 1018. Give q(-134).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-six fifths of a centimeter?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + sqrt(28) + 2*sqrt(7)*-2 + ((sqrt(378) - (sqrt(378) + sqrt(378)*2)) + sqrt(378))\/sqrt(6)*-3)**2.\nAnswer: -56*sqrt(7) + 359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -35*l**2 + 3*l + 2. Calculate j(-1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**5 - 1. Let x(n) = -2*n**6 - 12*n**5 - 14*n**4 - 33*n**2 - 6. Let d(u) = -6*c(u) + x(u). Find the third derivative of d(i) wrt i.\nAnswer: -240*i**3 - 336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 12 = 3*l - y, -y - 6 = -l. Suppose 3*x + q - 7 = x, 0 = 4*x - l*q - 10. Suppose 4*t = -x*t + 637. List the prime factors of t.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1663 - -2079. What is the highest common factor of 260 and d?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osgzlszzgzzszg. What is prob of picking 1 l and 1 o?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 4. Let b be c(-9). Let p be (6\/(-1))\/(b\/15). What are the prime factors of ((-45)\/p)\/((-2)\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4*k - 224440, 0 = -17*l + 13*l - 2*k + 224446. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1236 + 4?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -231*d**4 + 106?\nAnswer: -924*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5 = -0*g. Let j = -4 - 0. Let u = g - j. Solve -3*c = 6, 0 = u*x + 4*c - 6 - 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/32 of a day?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g**(-1\/3)\/g))*g**(-6\/7)*g assuming g is positive.\nAnswer: g**(-25\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 10077 = a + 3*a, -10083 = -4*a + m. Let q = 22 - 22. Suppose 11*g + 3*g - a = q. Calculate the highest common divisor of g and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 5. Let x(u) = -5*u + 1. Let y(k) = -2*k + 1. Let f(s) = -x(s) + 2*y(s). Calculate f(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/6 + 3*t**2 + 4*t - 64\/3.\nAnswer: (t - 2)*(t + 4)*(t + 16)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42357*i*j*l**3*n**2 - 67*i*j*l*n - i*j*n - 6*i*j - 10*i*l**3*n**2 - 12*j*l**3*n wrt n.\nAnswer: -84714*i*j*l**3 - 20*i*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 951 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -7309\nAnswer: -10\/7309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 13*a + 47 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 185054?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, q: 2, d: 8, f: 4}. Give prob of sequence qb.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 + 48. Suppose 0*x - 3*x = o*x. Let j = 0 + 2\/5. Is j at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, r: 6, j: 6}. What is prob of sequence jxr?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 g when four letters picked without replacement from {b: 1, e: 5, g: 1, d: 3, p: 1, l: 3}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23369, 46751, 70133, 93515?\nAnswer: 116897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.941072899 to one decimal place.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 + 9 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g + 8*j = 13*g + 54, -g = -5*j + 18 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 2\/17 (c) -841 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(4*o + o - o) - 133 - 2*o + 0*o + 134.\nAnswer: 6*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 164437521 - 4?\nAnswer: 164437515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**5\/30 - t**2\/2 - 2. Let n(i) be the second derivative of b(i). Let y(w) = 0*w + 4*w**2 - 3*w**2 + 0*w. What is n(y(s))?\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 799.61 + 3381\nAnswer: 4180.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4874 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.148 + 0.148018854. Round o to 7 decimal places.\nAnswer: 0.0000189","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*z - 5*b = 26*z - 51*z - 78, -z + 160 = -z + 10*b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-180)*6*(-1 - 3). Which is the nearest to y? (a) 1\/3 (b) 0.2 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -126 - -166. Calculate the remainder when h is divided by 31.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2072 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4434321 divided by 829.\nAnswer: 5349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156138 is divided by 21882?\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-1 + -1 + (-3 - 1 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.34 - -703.34. Let y = 693.99999346 - x. What is y rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-49))\/((27\/21)\/(-3)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51 take away 215895689.1?\nAnswer: -215895688.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 216 = -8*f. Let l(a) = -25*a**2 + 6 - f*a**2 - 3*a + 38*a**2. Let b(v) = 9*v**2 + 5*v - 11. Determine -3*b(s) - 5*l(s).\nAnswer: -2*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(143)*-1*-4)\/(sqrt(66)\/(sqrt(600) - ((sqrt(600) - 3*sqrt(600)) + sqrt(600)))).\nAnswer: -480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -4*x**5\/7 + 29724*x**4\/7 - 59364*x**3 + 207676*x**2 = 0.\nAnswer: 0, 7, 7417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -332, -272, -166, -8, 208, 488, 838, 1264?\nAnswer: 1772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 20, -2*i - 3*c = 196 + 228. What is the hundreds digit of 5 - (3 + i + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 23*r**2 - 19*r + 5. Let y(v) = 11*v**2 + 10*v - 3. Let u(p) = -2*g(p) - 5*y(p). Is u(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1001101?\nAnswer: 1001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1667899077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -320*(2352 - ((-3 - -4) + 1)). Round r to the nearest ten thousand.\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 3)*(0*s + 5*s - 6*s)*(-5*s - 2*s + 4*s)*(-2 + 2 - s**2).\nAnswer: 15*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g**5 - 4*g**4 - 64*g**3 + 156*g**2 - 134*g + 40 = 0 for g.\nAnswer: -4, 1, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39522690 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**5\/4 - 15363*o**4\/4 + 370947*o**3\/2 - 6302781*o**2\/2 + 88533501*o\/4 - 219594627\/4 = 0.\nAnswer: -5169, 7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhhx when four letters picked without replacement from qhxhxhxxhhxhxqhxxh?\nAnswer: 98\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9444.963 centimeters?\nAnswer: 94449630000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8076 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*f + 5 = -8, 0 = 2*f + 8. Do 1\/13 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(65) - sqrt(65))*-5*3)\/(-3*(sqrt(5) - ((sqrt(150)\/sqrt(3))\/sqrt(10) + sqrt(5))))*-5 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 854257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3107 is divided by 1035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*a - 3*l + 14 = 61*a - 207*a - 2*l, 16 = -4*a + 2*l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 1019*h + 1026*h + 1, -77 = 5*i + 8*h for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3647217, 3647225, 3647233, 3647241, 3647249, 3647257?\nAnswer: 3647265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33628892 and 44.\nAnswer: 33628892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-16)*(-8)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 58\/10 + 2\/10. Let q(j) = -6*j + 1. Let k be q(5). Let c = k + 30. Put c, d, -4 in ascending order.\nAnswer: -4, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5523363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - y = -12, 4*y + 6 = -4*j + 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3222317029 a multiple of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*p - 5*o - 61, 138*p = -119*p + 262*p - 5*o - 25 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/36)\/((-6)\/(-360))*(-18)\/24\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millennium in decades?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*t = -8, 2*i - 4*i = 4*t + 8. Suppose i = -5*h + h - 2*k - 24004, 4*h + 24006 = -3*k. What is h rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.4330163nm?\nAnswer: 0.0004330163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 241213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-6))\/(3*2\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6265, 12537, 18811, 25087, 31365, 37645, 43927?\nAnswer: 50211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/4)\/(310\/6665)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**2\/2 + 5*k - 3. Let f be c(6). Let i(o) = 8*o + 2*o - 3*o - 1. What is i(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18372, 4, 2415, -5, 0, 3 in ascending order.\nAnswer: -5, 0, 3, 4, 2415, 18372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 671913367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 53. Let f be (2 - 1\/q)\/((-16)\/(-176)). Let x(a) = a**3 - 12*a**2 + 10*a + 8. Give x(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 10. What is the highest common divisor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -205\/604968, 1?\nAnswer: -205\/604968","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - i - 2. Let c be n(2). Suppose 5 = k - 3*s, -2*s + 48 = -c*k + 3*k. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 828.3987ml?\nAnswer: 0.8283987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 10157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, o: 1, i: 1, a: 4, v: 4, m: 3}. What is prob of picking 1 l and 1 i?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.07, 363, -4, -7, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478318.\nAnswer: 2, 311, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 3*v - 2*v)*(0*v**4 + v**4 + v**4) + 0*v**5 + 13*v**5 + v**4 - 6*v**5.\nAnswer: 9*v**5 + v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -5 (c) -1\/6 (d) 2.95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/10 of a microsecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 17. Suppose 0 = 3*y + 2*g - 21, -y + 2*g = -v*y + 11. Suppose -a + 2*c + 14 = 0, 0 = -2*a + 6*a + y*c - 4. Solve 0 = -a*s + s - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 823720 is divided by 409?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 5 + 3)*(3 - 3 - 3) + (1 - 3 + 4)*(0 + 3 - 1))*(-c + c - c)*(2*c - 4*c - 2*c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7604 (base 11) to base 3\nAnswer: -111210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 853+176\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 92*((-8)\/(-44) - (-42)\/11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*k**2 - 32*k - 420?\nAnswer: -8*k - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 181 - 179. Solve 0 = -2*g - 3*w + 15, 5*g - y*g + 2*w = 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2213346 divided by 97\nAnswer: -22818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4\/4 + 8951*m**3\/4 + 11198*m**2 - 26859*m - 80604 = 0. Calculate m.\nAnswer: -6, -2, 3, 8956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 126670, 253657, 380646, 507637, 634630?\n\"Answer: w**2 + 126984*w - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-14)*j**(-2\/27)\/j*j**(-6) assuming j is positive.\nAnswer: j**(-191\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**3\/3 + 78*o. Let t(s) = -55*s**2. What is d(t(h))?\nAnswer: 110*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -405 + 417 - (3 - 0) - (0 + 18) - -73.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2265465, 2265495, 2265535, 2265591, 2265669, 2265775?\nAnswer: 2265915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 65736052.7685 take away -55?\nAnswer: 65736107.7685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -202.63 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + -1. Let d = f - -3.1. Let i = 1.486 + -1.546. Is i >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 27*c - 93. What is the remainder when 143 is divided by r(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 227785.662 seconds?\nAnswer: 2.636408125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 66.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a millennium in years?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**3\/7 + 6*n**2 + 72*n\/7 - 216\/7 = 0. Calculate n.\nAnswer: -6, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/72)\/(27\/486)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + t - 24*t)*(9 - 32 - 19) in the form h*t + o and give h.\nAnswer: 924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.062 (c) 1.5 (d) 246\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57*(-8)\/192)\/(21\/(-168)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 32. Determine l so that -9 - v*l - 12*l + 57 + 3*l**2 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 29 = -5*t. Suppose -5*q + 61 = 4*r, -r = -t*q + q + 11. Suppose 0 = -13*j + 4*j - r. Is j at least 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17, 75, 227, 521, 1005, 1727, 2735?\n\"Answer: 8*g**3 - g**2 + 5*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 + 5*x**2 - 4*x**2 + (4*x - 25*x - 28*x)*(2*x + 4*x + x) + (-x - x + 0*x)*(x - 4*x + 5*x).\nAnswer: -346*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*o - 23168 + 21021 = -10*o for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 183534 and 1667010.\nAnswer: 281724690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 4745180?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, j: 5, m: 1, z: 5}. What is prob of picking 3 n and 1 z?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5082556843 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9651.39663 - 20.26.\nAnswer: -9671.65663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 82*w**2 - 3 + 105*w**2 - 64*w**2 + 125*w**2.\nAnswer: 84*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 48898 divided by -1?\nAnswer: -48898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6525751 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19608959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2086 divided by 5.\nAnswer: -2086\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.101.\nAnswer: 0.303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*o + 2*o + 56*o**3 + 10*o**3 - 9*o**3 + 25*o**3 + 369*o**2 wrt o.\nAnswer: 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7*x**2. Let u(m) = -2*m + 4. Let k(g) = 3*g - 7. Let n be ((-32)\/(-12))\/(2\/3). Let o(t) = n*k(t) + 7*u(t). Give z(o(p)).\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 18*r**2 - 20*r - 2. Let u be c(-19). Let n(d) = d**3 - 5*d**2 + 10*d - 6. Let y be n(4). Solve y*x - u*x = -1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*c - 117 = 158 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 12*z. Let p(b) be the first derivative of b**4\/12 + b - 18. Let j(w) be the first derivative of p(w). Determine c(j(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = 6. Suppose 0 = r + r - p. Which is the second biggest value? (a) r (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66.04 - -0.04. Let d = -118 - i. Let c = d + 52. Sort -0.1, -0.3, c in ascending order.\nAnswer: -0.3, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 251252*j**3 + 795871 wrt j.\nAnswer: 753756*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6496*b = 6439*b + 1254 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10093 or -10090?\nAnswer: -10090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24645 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 399205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 23*c + 19. Is z(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/21, -5, 22?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -185a + 0?\nAnswer: -185a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13462996 is divided by 135.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*1*-2)**2 + 2*(5 + sqrt(27)).\nAnswer: 6*sqrt(3) + 442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 11. Let p(c) = 5. Determine -4*h(d) - 9*p(d).\nAnswer: 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.2, 27, 0.2, 1697, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 7:25 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 109731437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-five quarters of a milligram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50 and 0.02.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3463 - 2339. What is the remainder when o is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-3 + 3)) + (2 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4\/2 - b**3\/2 - 45*b**2\/2 - 83*b\/2 - 20 = 0.\nAnswer: -5, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36192 and 195?\nAnswer: 180960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201239586.\nAnswer: 2, 3, 227, 16417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odooaoklakck. Give prob of picking 1 d, 1 l, and 1 c.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -1. Let s = b - -1.5. What is the nearest to 0.2 in s, 1, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 45*i - 854. Let n be y(19). What is the second smallest value in 3, n, -3, -0.2, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**5\/4 + 40353*s**4\/4 + 1861761*s**3\/2 - 11218821*s**2 + 25369650*s + 37509264 = 0. What is s?\nAnswer: -13358, -104, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1*sqrt(2700) - sqrt(2700))\/(sqrt(144)*-1))**2.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 12*b - 28 + 6*b + 58 + 58 as j*b + w and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - -19. Let m be -5*(3 + s\/(-10)). Factor -14\/9*k**4 + m*k**3 + 0 - 4\/9*k**2 + 0*k.\nAnswer: -2*k**2*(k - 1)*(7*k - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3 = 12. Let d be (-1)\/(t - (-75)\/(-24)). Find the third derivative of 3*x**2 + 0 + d*x**4 + 1 - 1 wrt x.\nAnswer: 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a. Let r(z) = z**2 - 23*z - 12. Let w(x) = r(x) + 4*t(x). What is the units digit of w(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174*0.2.\nAnswer: -34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -50 (b) -4 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 61. What is the remainder when 54 is divided by g(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 0, 365, -1 in ascending order.\nAnswer: -1, 0, 2, 5, 365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*i*j - 763264*d*i*x - 5*d*j*x - 218*d - 673*i*j wrt x.\nAnswer: -763264*d*i - 5*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 - 0.18. Let h = -11.1 + 12. Let n = q - h. Which is the smallest value? (a) 5 (b) n (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**5\/8 - 3*m**4\/2 - 15*m**3\/8 - 3*m**2\/4.\nAnswer: -3*m**2*(m + 1)**2*(m + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12662 and 53083?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 1\/60*k**5 + 0*k**4 + 0*k - 2*k**2 + 0*k**3 - 1\/30*k**6 + 0. Find the third derivative of t(m) wrt m.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -119 + 268. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, l: 4}. What is prob of sequence lhll?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -28 (c) 4 (d) 4\/7 (e) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -3043443?\nAnswer: -3043441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21190694 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of n**4 - 1504*n**3 + 2153 wrt n.\nAnswer: 4*n**3 - 4512*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 190533 divided by 27219?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 - 22*u + 7. Calculate k(-15).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -8*n**3 - 2247*n**2 + 4825*n + 3929. What is w(-283)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + a**2 - 42364 + 84736 + 14*a**4 - 3*a**3 - 42370 as j*a**2 + v*a + l*a**3 + i + f*a**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 591 = -597 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 23*p**3 + 14*p**2 - 7*p - 274. Let d(f) = -46*f**3 - 29*f**2 + 12*f + 546. Let h(g) = -3*d(g) - 5*y(g). Find the second derivative of h(x) wrt x.\nAnswer: 138*x + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/150 - (-187)\/255*212\/4.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8, 6, 42, 112, 228, 402, 646, 972?\n\"Answer: 2*w**3 - w**2 + 3*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*f + 12. Let l be (-1)\/f*-5*(2 - 0). Solve l*r = 15, 5*m - 16 = r + 2*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, j: 3}. Give prob of picking 3 r.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 0.6, -1.6, -102761, -2\/3 in descending order.\nAnswer: 0.6, -1\/5, -2\/3, -1.6, -102761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-714)\/63*-3 - 26.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v = -10*v + 56064. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 2, y: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 - q**2 + q - 2. Let h be v(2). Suppose 0 = 5*n - 7*n + h. Let g be 10 + -2 + n\/(-2). Sort -7, g, -5 in increasing order.\nAnswer: -7, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/33 and -149\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 350*h**2 + 30972*h + 60552.\nAnswer: (h + 2)*(h + 174)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r + 410709 = 45643. Suppose -8*v + r = -7167. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 5*j**4 - 4 - 4*j**4 + 4 + (3*j - j + j)*(-21*j**3 - 6*j**3 + j**3).\nAnswer: -77*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g = -7*g + 57 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24183 rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/21 + -2 + (-10)\/(-7). What is the biggest value in s, -3, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 33784.33 and 27261447.\nAnswer: 27295231.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5923 + 136 = 0. Suppose 5*x = -2*p - 2108 + 8177, 5*x - 3*p = j. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v**2 - 4*v**2 + 12*v**2. Give m(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2 - (-5 + (-90)\/12). Suppose -v = 9*w - 12*w. Solve -d = w*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00107485415 rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**15)\/p*(p**5\/p)\/p assuming p is positive.\nAnswer: p**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15639577 + 10166634. Let x = 7972943 + d. Round x to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f - 1 = 0. Which is smaller: 2\/41 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -881 - -881.17. Which is the nearest to -2\/3? (a) d (b) -3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23080 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 245?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5264*d + 947317. Determine t(180).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -373772.445 to the nearest ten thousand.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0100815 rounded to four dps?\nAnswer: -0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 6 + 104 = g, 0 = 5*g + 2*w - 506. Determine y, given that -y**2 + 3*y**5 + 6*y**4 - 102 + g - 3*y**3 - 5*y**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2809 is divided by 282.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 4*r - 138*y + 655 + 111 + 460 = 0, 0 = 5*r - 4*y + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by (-74)\/(-6) + (-2)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 9*t**2 - 9*t - 13. Let w(r) = -2*r**2 - r - 1. Let q(x) = i(x) - 4*w(x). Calculate the remainder when 71 is divided by q(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -147*f + 186*f - 165165. What are the prime factors of f?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 37366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13200 + -40144010?\nAnswer: -40212210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 5670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((40\/240)\/(2\/12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**2 - 230*h - 2645 = 0. What is h?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 6:56 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 - -1 - (4 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 5*h + 2*h)*(-2726234*h**2 + 2726234*h**2 - 2328*h**3).\nAnswer: 4656*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1963, 3921, 5879, 7837, 9795, 11753?\n\"Answer: 1958*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 2*k + 15. Let t be v(3). Let n = -4 + 10. Solve -3*d + n*d - 9 = t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -6, -5, 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 135 = 2*z, -6*s = 3*z - 3*s - 171. Suppose 4*w = 2*w - 4. Let u be 14 + (4\/(-1) - w). Calculate the highest common divisor of u and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37894 to the nearest 1000.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 5\/3, -88\/9, 0, 5 in decreasing order.\nAnswer: 5, 5\/3, 0, -88\/9, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, z: 1, a: 5, c: 6}. What is prob of sequence az?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 0.741, 2\/7?\nAnswer: 0.741","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-329)\/94)\/(63\/216)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 148 and 13394?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nz when two letters picked without replacement from cccczzxxccxxcczxcn?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 29616 = -2*n + 22314, 0 = 5*n + 3*h - 129857. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + 1. Suppose -h - 2*h + s = 0. Suppose -h*f + 2*f + 12 = 0. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17745, 35491, 53237, 70983, 88729, 106475?\nAnswer: 124221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 38\/(-6)*(-21)\/7. Suppose -o - 3*o - 5*w + 1 = 0, 0 = -o + 5*w + i. Let m(q) = 3*q. Calculate the lowest common multiple of o and m(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, a: 2, h: 2}. Give prob of picking 1 l and 2 a.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/3465)\/((-1820)\/525*((-18)\/4)\/3)?\nAnswer: -1\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578 + 614 = 4*d, 0*j + 5*d = 3*j + 60 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 4.12. Let s = -4.88 + f. Let i = -8 - s. Which is the third smallest value? (a) 1 (b) i (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*v - 162 = 20*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11436, -11271, -11038, -10743, -10392, -9991?\nAnswer: -9546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyy. Give prob of picking 3 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -362 (c) 50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/5)\/((-5)\/5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*d + 59*d + 111*d + 81*d - 413*d + 63*d.\nAnswer: -34*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**2 - 2*m. Let o(c) = -4*c**2 - 2*c - 1. Give 6*o(l) - 5*z(l).\nAnswer: l**2 - 2*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 13\/4285 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -271.3732 - -99494745.\nAnswer: 99494473.6268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -5. Let j = 18 + w. Let a(d) = 2*d - 11. Calculate the remainder when 21 is divided by a(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 120 - 125. Is -27\/7 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -3293?\nAnswer: 2\/3293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -15. Let x = 13\/12 - 4\/3. What is the third smallest value in t, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k + 3. Let x be 30\/(-20)*(-8)\/6. Let c(o) = 7*o. Let i(w) = 18*w + 1. Let d(l) = 11*c(l) - 4*i(l). Determine x*d(f) + 3*a(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*l + l. Let p(k) = 14*k. Let r be p(-1). Sort 2, l, r in descending order.\nAnswer: l, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(-2*t + 22*t**5 - 12*t**5 + t).\nAnswer: 20*t**5 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 2*d + 6. Let y be g(-4). Let p be 10\/(-4)*(-12)\/10. Suppose -2*t - 8 = -m, -m - p*t + 79 = 4*m. What is the highest common factor of m and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q**2 - 2*q - 1. Let u(o) = o**2 - 1. Let d(t) = k(t) + 6*u(t). Suppose 11 - 46 = -3*l - 4*c, -5*c = -l - 20. What is d(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -306*i + 275*i + 682. Calculate the greatest common factor of i and 7183.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -16*m**2 - 2*m - 12. Let d(r) = -33*r**2 - 5*r - 23. Let j(x) = 2*d(x) - 5*u(x). What is the derivative of j(f) wrt f?\nAnswer: 28*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 1. Let q be v(-7). Let l = q + 8. Solve l*c + 13 = -c - 4*x, -2*x - 10 = -2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/(g**(2\/3)*g))\/g*g*g**(2\/7))\/(g\/(g**(-1\/3)\/g)*g)**(10\/7))\/((g**0\/g)**(10\/11)*(g**1*g)**(-2\/57)) assuming g is positive.\nAnswer: g**(-13885\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 - 46 = -64*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3 + 88*c**2 - 10*c + 5.\nAnswer: -6*c + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -344 + 384. Let w = 43.51 - 2.11. Let s = d - w. What is the second biggest value in s, 0, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5431*1 + (-17)\/((-170)\/(-20)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(432)*1.\nAnswer: -48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38592 and 6030?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - 41. Suppose -v*c = g + 26, -2*g + 10*c = 11*c + 62. Let w = -26 - g. Solve -j + w = 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 4*d - 26, -34*d + 24 = 5*q - 36*d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/1*(-7)\/((-322)\/(-2))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 1:54 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 34*z - 30. Let j be h(5). Calculate the greatest common factor of 80 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 131*r + 2*r**3 + 8*r**4 - 1 - 5*r**2 + 18*r**2 + 15*r**4 - 10*r**2 - 136*r to k*r**3 + l*r**2 + u*r**4 + w + p*r and give u.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323200?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 0. Let x be (-2)\/(-6) - (-1 - -1). Which is the second smallest value? (a) n (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - -2) + 12\/(-2 + 4). Let u(c) = -13*c**2 - 2*c**y + 64*c**2 + 14*c**2. Let l(a) = 2*a + 42 - 42. Calculate l(u(b)).\nAnswer: 126*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -139 - (-66 + (-72 - -84))\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtpzthptht. Give prob of sequence ht.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 6. Let z be l(10). Solve z*k = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13 + 6)*1\/1. Is a at most as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 1. Let x be z(-5). Let m be (x\/(-32))\/((-1)\/2). What is the nearest to m in 0, -4, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = n + 1, 32*g + n = 31*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/18)\/((-2)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -1\/148800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*q = 339*q + 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*a*q**3*s + 7*a*q**3 + 12446*a*q**2*s + a*q**2 + 3*a*s + 2*q**3*s - 4744*q**3 - s wrt q?\nAnswer: 108*a*s + 42*a + 12*s - 28464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/7, -0.1, 14, 342.591 in descending order.\nAnswer: 342.591, 14, 8\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-9) - 250\/(-90). Solve -2*u - l = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 9056*p - 9091*p + 36259*p - 9054*p - 9056*p - 2.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5015 + 5015 + 54*b**2 + 9*b**3 - 54*b**2.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21904, -21922, -21964, -22042, -22168, -22354?\n\"Answer: -2*r**3 - 4*r - 21898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 - 24*n - 31*n as k*n + w and give k.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-132680)\/279)\/(-40) + 1\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-14 - (10 - 32)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 24*f**2 - 39*f - 379. Give g(-25).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 832*a**3*v + 545*a**3 + 2081640*a*v - 13*v wrt a?\nAnswer: 4992*a*v + 3270*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Which is the nearest to 1? (a) x (b) 0.5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2577, 10534, 23871, 42588, 66685, 96162?\nAnswer: 131019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 26233*v**2 - 6. Is x(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -31002012333?\nAnswer: -31002012330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - 231\/(-49) - (-74)\/14. Let d be 332\/62 + (-6 - (3 - l)). Which is greater: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224656062 (base 7) to base 8.\nAnswer: 64377271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7253679124.\nAnswer: 2, 18371, 98711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*b**3*m**2*q**2 - 2*b**3*q - 16*b**2*m + 7*m**2*q**2 + 6*m*q**2 wrt m?\nAnswer: 14*b**3*q**2 + 14*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 388*t**2 + 71240*t + 12567. Determine x(524).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 8.5. Which is the smallest value? (a) -2\/3 (b) d (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*b + b = 121*b - 2200 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 42 (b) -0.5 (c) -3 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + h**2 + 1685*h - 3288. Calculate t(0).\nAnswer: -3288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**4\/4 + 2*k**3\/3 + 9*k**2\/2 - 7*k - 29. Calculate z(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -145\/413766?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2448 and 340.\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 10:08 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**4 - 7*p**3 + 10*p**2 + 28*p + 8 = 0.\nAnswer: -2, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8, 4, 28, 70, 136, 232, 364, 538?\n\"Answer: x**3 + 5*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 12*u + 2. Let h be t(12). Suppose -v = -1 - h. Suppose 0 = d - 14 + 5. Calculate the greatest common factor of v and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 112 + 3 + 25\/(-5). Let l = 193 - k. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*a + 212*a - 1038 + 4846 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-361)\/(-1805))\/((-1)\/(-30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 32) + 170 + -158 + 7 - -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-15))\/(11\/((-132)\/4))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 227 + -232 - (-5 - -4 - (4 + 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*u + 99*u + 77 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/9 in 0.046, -113, 1\/2, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 + 4*i. Suppose 9*p + 29 + 25 = 0. Let t be v(p). Calculate the greatest common divisor of t and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 154\/5? (a) -4 (b) -7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30307, -60606, -90895, -121168, -151419, -181642, -211831?\nAnswer: -241980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 52 = 8*c - 4*m, -3*c = -5*m - 33. Suppose -c*x + 36085 = -11*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -140 + 125. What is the smallest common multiple of 4 and -1 + (-12)\/(-9) + (-355)\/v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4 - (-58477)\/(-12). Suppose s + 19453 = 4*m, 0 = 5*m - 0*s - 3*s - 24318. Let g = u + m. Calculate the common denominator of -27\/14 and g.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -861, -1810, -2785, -3798, -4861, -5986?\nAnswer: -7185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1692 in 7, 0, -4, -0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 221, 415, 567, 659, 673?\n\"Answer: -3*d**3 - 3*d**2 + 224*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from yoyyymymmm?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * -0.088.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 60.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 4*i - 23. Let o = 24 - i. Calculate the remainder when o + 2\/(-8)*0 + 48 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. Let z be (8 - 14)\/(12\/(-8)). Let l = -1 - -22. Solve -5*j + w*k + l = k, -z*k + 26 = 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 39\/40091 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10311 = 60*h - 39*h. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -801, -803, -805?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*y - 443 = 0, 5*w + 5*y = -396 + 1121. Calculate the lowest common multiple of 3*(1 + (-1)\/(-3)) and w.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19619 divided by 29.\nAnswer: 19619\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g. Let a(m) be the second derivative of m**3\/2 + 6*m. Calculate i(a(v)).\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*b + 16, -2*l - 4*b - 4 = 0. Is 14 a factor of ((-2)\/3)\/(l\/630)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opgoioi. Give prob of picking 3 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 u, and 1 y when four letters picked without replacement from {r: 1, a: 2, c: 4, y: 6, u: 2, n: 3}?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31197075 divided by 342825.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 - w - 18*w + 10*w**2 - 17*w**2 - 40*w**2 wrt w?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2206 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -7*x + 63. Suppose x = 6*g - 63. Differentiate 32*n - g + 35*n - 64*n wrt n.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2698 and 639.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**4 - 41 - 47 + 91 - 103*p**3 + p**2 as w + c*p**3 + a*p**2 + o*p + h*p**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 59\/4 of a millisecond?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 14*v + 9. Let g be i(13). Let x be (g\/4)\/(-1) + 3. Suppose -2*l + 16 = -x*l. Is 2\/7 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9174431 take away 0.4?\nAnswer: -9174431.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -21*b - 3 - 16*b - 179*b**2 + 93*b. Let j(k) = 178*k**2 - 55*k + 4. Let l(a) = -4*f(a) - 3*j(a). What is the second derivative of l(y) wrt y?\nAnswer: 364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3 + (-5 + 2 + 1)*(-1 - 1 + 0) - 3 + 0 + 6 - 9 - 2 + 20)*(2*z**3 - 4*z**3 + 3*z**3).\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -62. Suppose 13*v - q + 17 = 0. Let y(o) = -o + 4. Give y(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 27 = -b, 5 + 4 = -5*b + 4*r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -484.072 to one dp.\nAnswer: -484.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221010022121 - -11202?\nAnswer: 221010111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*d - 107*d - 4 + 8 - 5.\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 3*q**2 - 114*q**3 + 5*q**4 - 4 + 114*q**3 - 19*q**2 as i*q**2 + a + v*q + n*q**4 + r*q**3 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1041233 (base 5) to base 13.\nAnswer: -8451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -1 - (-30 - (-6 + -8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/14 + -73\/126. Let z = 70 - 72. What is the nearest to z in i, 1\/4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/7719579 and -8\/3?\nAnswer: 7719579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3316, 3312, 3304, 3292, 3276, 3256?\nAnswer: 3232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 6. Calculate v(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - a - 15 = 0, -a - 10 = -3*r. Calculate the remainder when 13 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002393388 rounded to 6 dps?\nAnswer: -0.000239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -2\/7 (b) -2\/9 (c) -41 (d) -3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 9:51 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.14273 and -42?\nAnswer: -5.99466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 16231*a - 863054. What is d(-53)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 2 - 2)*(3*h - 2*h + 0*h + (-4 + 4 - 3*h)*(2 - 5 + 5)).\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + -1 - 1) + (21 - (-26 - -47))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 5) in base 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 15*t + 7. Let q(u) be the third derivative of 7*u**4\/24 + 2*u**3\/3 - 83*u**2 + 10*u. What is 4*j(w) - 9*q(w)?\nAnswer: -3*w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**3 - 102*c**2 + 19*c - 6. Let b be s(20). Find the common denominator of (-23)\/2 - 1\/3 and ((-1)\/(-3))\/(32\/b).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 3*i - 49. Let n(g) = 5*g. Let o be n(i). Sort o, 1, -3 in decreasing order.\nAnswer: o, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23232743 to two dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 + 24 + (-1 - -192) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*z - 0*z. Suppose z*n + 44 = 3*n. Suppose -22*j = -78 - 10. Calculate the greatest common divisor of j and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 7\/(-4))*-4. Let k be (r\/1)\/(63\/6). Let a = 0.7 + 3.3. What is the second biggest value in a, k, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1218628 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/sqrt(80) + 5*(sqrt(5) + sqrt(5)*3).\nAnswer: 81*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14849.05 days to minutes.\nAnswer: 21382632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1760 divide 347469760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32827 and 0.1.\nAnswer: -32826.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.2. Let i = -9 + 11. Let z = 3.8 - 3.9. Which is the nearest to z? (a) w (b) 1\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, -0.4, -3.236?\nAnswer: -3.236","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -10*f**2 + 0 + 0*f**4 - 2\/15*f**5 + 0*f - 7\/6*f**3. What is the derivative of a(y) wrt y?\nAnswer: -16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 - (10 + (-3 - 5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i**4 + 4*i**3 + 3*i + 5. Let y(h) = 2*h**4 - 2*h**3 - h - 2. Let w(j) = 6*x(j) + 14*y(j). Factor w(q).\nAnswer: -2*(q - 1)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41371455?\nAnswer: 3, 5, 17, 19, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**2 - 15. Let f(z) = -11*z**2 + 44. Let v be (-6 - (-19)\/3)*(42 - -9). Give v*w(h) + 6*f(h).\nAnswer: 2*h**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 87987106201 and -0.101.\nAnswer: 87987106200.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 - -0.02. What is the third smallest value in f, 3\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(4\/(-7))*374550\/13983200?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 - d**4 + 5*d**4 + (12*d - 12 + 12)*(5*d**3 - 2*d**3 - d**3).\nAnswer: 27*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-13))**23\/(s\/(s*s**(-7)\/s*s*s))**(-31))**(2\/107) assuming s is positive.\nAnswer: s**(-180\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from {a: 8, n: 2, q: 9}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.1, -123549, -4?\nAnswer: -123549","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 128*7\/63*9. Calculate the highest common factor of d and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = 5*k. Put k, -2, -3, -4 in ascending order.\nAnswer: -4, -3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 5738*h**7\/7 + 3854*h**3\/3 + 3152. Find the third derivative of b(v) wrt v.\nAnswer: 688560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*((2 + (-4 + sqrt(242) + 1 - (2 + sqrt(242) + 0)))*-6)**2 + -1).\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -211, -2, 0, -16, 1, 5 in ascending order.\nAnswer: -211, -16, -2, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 647 = 2*f, 6*b = -3*f + b + 923. Suppose -7*i - 78 = -f. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 12. Let p(o) = -o. Let d(h) = -6*h - 10. Let i(k) = -d(k) + 5*p(k). Let j be i(v). Solve 0 = -j*u - 2*u - 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615665627?\nAnswer: 331, 1860017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 25500314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -s + 18. What is the highest common divisor of 81 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6*z**3 - 4*z**2 - z + 7. Let n(w) = -5*w**3 - 3*w**2 - w + 6. Let h(y) = -2*j(y) + 3*n(y). Is h(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 88\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*u - 30831 = 220*u + 120*u + 18984 for u.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -1065\/7*w**2 + 327*w + 3\/7*w**4 - 1170\/7 - 57\/7*w**3 = 0.\nAnswer: -13, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is cc63 + 458?\nAnswer: 103bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -641 (b) 3 (c) -2\/11 (d) 2 (e) 128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - h = -3*h - 20, -c = -5*h - 27. Suppose 4*x - 214 = -5*n, -5*x = c*n - 3*n + 66. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*w - 3)*(-6 + 6 - 18).\nAnswer: -36*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 + -112. Let v(u) = -u + 4*u**2 + 6*u + 1 - n*u - u. Give v(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 8) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/1045, -1\/3, -0.3, 2 in decreasing order.\nAnswer: 2, 1, 2\/1045, -0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tqaqaaqqqqaaaqq. What is prob of sequence tqa?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 13*m + 4. Let j be r(-12). What is the greatest common factor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7938261.9659 - -7937804. Let o = g + 458. What is o rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -5 (c) -0.02 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*t - 3862, -15 + 20 = 5*t. Calculate the greatest common divisor of j and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 4*c - 12. Let j be z(-5). Let m = 3 + j. Let v(i) = 4*i**2 + 1. Is v(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a week?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 19*z - 37. Give y(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/11 + 68*c**2\/11 - 534*c\/11 - 2160\/11 = 0. Calculate c.\nAnswer: -40, -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**5 + 5*b**3 + 5*b**2 + 82. Solve l(h) = 0 for h.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3734471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k**(-1\/37))\/k)**(-5\/11)*k*k**11\/k*k*k*k\/((k\/((k**13\/k)\/k))\/k)*k)**(-2\/3) assuming k is positive.\nAnswer: k**(-20804\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 95559793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/20*0*4\/4*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 134 + 54111?\nAnswer: 54245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9122 = -261*v + 271*v - 49662. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7049*p*y**5 - p*y - 14313*p - 149*y**5 + y - 5 wrt y.\nAnswer: -140980*p*y**3 - 2980*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*i + 6 + 2, 0 = 5*o + i + 19. Let j = o + 17. Suppose 9*q - j*q = -212. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 0)*(-3)\/(-6). Suppose s - 3 = 2*p, -2*p + a*p + 2*s - 6 = 0. Suppose -3*j - 3 = 5*c + 9, 4*c + 5*j + 20 = p. Solve c*l = 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/(-4)*5309\/37163. Find r, given that 0 - 2*r**2 - 3*r**3 + 4*r + a*r**4 + 1\/2*r**5 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.317 + 8.817. What is the second biggest value in 65\/19, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/((-1)\/((-186)\/(-4))). Find the common denominator of z\/(-28) - (-1)\/4 and -33\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-50 + 24 + -1 + -48)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 908756395?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 1003 = -957. Let z be -2*(-2)\/4*-2. Let a be (z\/4)\/((-10)\/g). Is -14 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/27 of a day?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 11128200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**6\/120 - f**5\/12 + 5*f**4\/24 - f**3\/3 + 2*f**2. Let i be b(4). List the prime factors of -1 + i + 6\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**4\/6 + j**3 + 6*j + 22. Let t(l) be the first derivative of c(l). Factor t(d).\nAnswer: 2*d*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*c + 6, t - 12 = 5*t + 3*c. Let b be 9\/t + (11 - 5). Solve b*j + 2*h = 17, 0 = 4*j - 3*h + 4*h - 21 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + g + 10 = 3*t, -g = 5*t + 18 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -78*t + 56*t - 69*t + (t - 4 + 4)*(0 + 0 + 7).\nAnswer: -84*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3065*q - 94949. Calculate h(-31).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 3. Suppose -5*r = -4*k + 15, -2*r - k + 10 = 3. Let o be v(r). Solve 3 = -6*d + 2*d + 3*l, -5*d - o*l = -35 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**4 - 3*f**4 + 2*f**4 + (f**3 + 0*f**3 - 2*f**3)*(f - f + 2*f) + 2*f**4 - f**2 + f**2 to the form x + r*f**2 + n*f**3 + h*f + w*f**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(405)\/((3*sqrt(108) - sqrt(108))\/sqrt(12)) - (sqrt(180)\/(-3*sqrt(4)) + -1))**2.\nAnswer: 5*sqrt(5) + 141\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*h = 3*i + 1880, -4*h - 2348 = 5*i. Let c be (-36)\/i - 62\/130. What is the nearest to 2 in -2, c, -0.1, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 divided by 1?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*s + 108*s + 17*s - 218*s - 199 in the form l*s + f and give l.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/462*1\/(-4)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 5 = z + i, -5*i - 26 = -2*z. Let h(n) = -n + 3*n - z - 9*n. Does 9 divide h(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*x - 138*x + 36 = 0. Let v(j) = j**2 + 3*j + 1. What is the smallest common multiple of x and v(-4)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-14500)\/7)\/(-2) + 50\/175?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/861732 and -139\/3318?\nAnswer: 6032124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 582015 and 1407.\nAnswer: 38995005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 849398*x - 424710*x - 424699*x.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 324 and 124445308.\nAnswer: 124445632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 385.163893 to 2 dps.\nAnswer: 385.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3232*r**4 - 6*r**2 - 3*r**5 + 32*r**3 - 3206*r**4 - 9*r**5 = 0.\nAnswer: -1, 0, 1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1098\/48 - (-2)\/16. Find the third derivative of -t*i**2 + 33*i**3 - 20*i**2 + 13*i**2 - 13*i**2 wrt i.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5436 (b) 1\/3 (c) 22\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and -9*(1 + -5 + -13)?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*h = -0*h - 4, -4*b = -h + 1. Suppose 24*m - 25*m + 24 = b. Calculate the least common multiple of m and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.68880388 to four dps.\nAnswer: 0.6888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) + 5*(sqrt(891) + 0) + 0.\nAnswer: 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4420852 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*l - 10, 3*l + 2 = b + 8. Suppose -a + l - 3 = 0. Which is smaller: a or -3\/8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 + 2. Let z be g(5). Let t be (540\/(-48))\/(1\/z). What is t rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15201 divided by -174\nAnswer: 5067\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 6*o + 4*o)*(3 - 13 - 6)*(-4*o - o**2 + 4*o).\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 1400 = 5*h + 6*j, 0 = 5*h - 4*j + 1395. Let z = 283 + h. Solve -3*b + z = -9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 190773473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b**5 - 54*b**4 + 258*b**3\/5 - 12*b**2\/5 - 9*b - 6\/5 = 0.\nAnswer: -1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 10:12 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 713 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 9. Let o(g) = 3937*g**2 + 1660. Let c(a) = -o(a) - 2*q(a). What is the first derivative of c(m) wrt m?\nAnswer: -7870*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-368)\/144*(-24)\/(-4) and -46\/289?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 55, 153 in increasing order.\nAnswer: -4, 55, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 5*i + 124105 = 6*o, 2*o + 4*i = -248204. Round o to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-1*sqrt(375))\/((sqrt(288) + (1*sqrt(288) - sqrt(288)) + sqrt(18))\/sqrt(6)))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*q + 19 = j, 3*j - 10 = 5*q. Suppose -226 = 2*n - 5*n + s, 0 = 3*n - j*s - 206. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10333166 divided by 23?\nAnswer: 10333166\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 463, 1257, 2365, 3787, 5523, 7573?\nAnswer: 9937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6936 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, b: 2, e: 2}. What is prob of sequence bzeb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 22418 and -3?\nAnswer: 22421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 2*g - 1082. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -99*c + 26. Let h = 640 - 643. Is g(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301 - 113?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 23*w**2 + 3132*w - 5967. Give m(-138).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66227 is divided by 936.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77 and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 3. Let j = 6 - 6. Suppose -2*q + 0 = 2. What is the second biggest value in j, q, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 0. Let i = 78 + -73. Solve i = 3*x - g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.2, 2\/5, 21, 0.39, -0.4 in decreasing order.\nAnswer: 21, 2\/5, 0.39, 0.1, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -w. Suppose 2 = 2*u - 8. Solve 15 = -w*c - u*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (57 - -3)*4\/10. Suppose -a = -4*v - 8, 4*y + 2*v - 2152 = 0. Let l = 1536 - y. What is l rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463953331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 5*r. Let c be g(4). Let b be (-108)\/14*((-6)\/(-18) - 5). Suppose -b = -8*z - 4. Put z, 3, c in descending order.\nAnswer: z, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/14 and 4\/5 + (-2178)\/180?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5966851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/501 and 47\/66.\nAnswer: 11022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/10)\/((-3)\/(-12)). Suppose 2*x + 5 = -k*j + 7*j, -4*x + 35 = 5*j. Let v = -8 + 13. Solve -2*z - x = -3*l, -2*z - l = -v*z - 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3594, -13881, -31024, -55023, -85878, -123589?\n\"Answer: -3428*r**2 - 3*r - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 3*f**5\/20 + 19*f**4\/12 + f**2\/2 + 2*f + 24. What is the third derivative of k(m) wrt m?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 207791654 to the nearest integer?\nAnswer: 14415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1 - b - 3*b + 3*b. Let n be t(-1). Let y be (4 - 2) + (-1 - 1). Is n equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 4*u - 4*u)*(0*u + 0*u + u - 5) + (1 - 1 + 2*u**2)*(0 + 1 - 5).\nAnswer: -16*u**2 + 40*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 54, 9 in ascending order.\nAnswer: 3, 9, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -232620000 to the nearest one million.\nAnswer: -233000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - -1.4. Let p = 1.02 - 0.52. Let r be (-7)\/2*(-66)\/231. Which is the closest to v? (a) 0.2 (b) p (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, n: 2, x: 10, w: 3, j: 1}. What is prob of sequence jx?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/((r*(r**(2\/25)*r)\/r)\/r*r*r))\/r)\/r)\/r)\/(r*r**(2\/51)) assuming r is positive.\nAnswer: r**(-6527\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 10*z**2 + 11. Suppose 3*u - 3*q = 18, 0 + 42 = 4*u + 5*q. Let r be f(u). Let t = r - -196. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 12:32 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 249*4 + 3. Suppose -2*h + 27 = w. Let m = h - -717. Does 33 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18704 - -18718. Solve -m*s - 71 + 1 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1086 is divided by 78.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24\/17? (a) -2\/23 (b) 2.41 (c) 2\/13 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/6 - (21\/(-2) + 11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + g = 141, -184 = -3*o + g + 3*g. Let h = o - 48. Differentiate 13 - h*s**2 + 41*s**2 - 21*s**2 + 23*s**4 wrt s.\nAnswer: 92*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 7:26 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2396 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12 + -68 - (1 + 0). Let u be (264\/10)\/(3\/(-10)). Let g = c - u. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000013841 rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*(sqrt(117))**2*6*-3 - (-6*(-1 + sqrt(1053) + 3) + -1).\nAnswer: -4199 + 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35197.\nAnswer: 61, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 186 - 194 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 96*f**2 + 37*f + 20. Is b(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 10 = -x + 9, -24 = -x + 4*v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53783148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 182755439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16299583 divided by -3349\nAnswer: -4867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 33488145 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p**2 + 15. Let b(y) = 12*y**2 - 25. Let a(o) = -3*b(o) - 5*s(o). Let n(i) = 407*i. Calculate n(a(x)).\nAnswer: -407*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -r - z, -r + z + 650 = 4*r. Suppose -5*c + r = 8*c. What is the lowest common multiple of -1 + 9\/1 - -1 and c?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 951654643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.570867 kilometers in centimeters?\nAnswer: 857086.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 490463.6l in millilitres?\nAnswer: 490463600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 275 + -266. Suppose 0 = 2*x - x + 2. Let m be 60\/(-63) - 3\/9*x. Sort m, u, -1\/4 in descending order.\nAnswer: u, -1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g**3 - 2*g**3 - g**3 + (262*g + 15*g**2 - 262*g)*(0*g - 3*g + g).\nAnswer: -27*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = -54*b + 1806. Is 43 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = 5*l. Let j(g) = 16*g - 14. Let z(w) = -49*w + 42. Let u(k) = 7*j(k) + 2*z(k). Let n = -16 - -4. Let s(q) = -q + 1. Determine l*u(f) + n*s(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 530, 1019, 2002, 3617, 6002?\nAnswer: 9295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x + 58. Let c be f(-14). Solve -5*t = 2*j - 21, -j - c*t + 7 = -2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*r = -9, -5*m + 4*r + 4 = 9. Suppose -6*p + 3*p = -66. Suppose m*i - p = i. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 4*r + 133 - 141, -2*c + 1 = -3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 4585?\nAnswer: 13755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-240)\/(-16)*136\/816\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**3\/3 - 5*y**2 - 16*y + 2. Does 4 divide z(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15566 = 1289*l + 6347 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 + 35*k**2 + 15*k - 36. Give f(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-m**2 - 4*m**2 + 3*m**2) + 0 + 0 - m**2 + (0*m - m + 0*m)*(0*m + 5*m - 4*m) - 2204*m**2 + 1119*m**2 + 1110*m**2 + 29*m.\nAnswer: 27*m**2 + 29*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 4. Suppose -4 = 22*d - 18*d. Let o be 3\/(-6)*(23 + 5\/d). Determine b(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -4. Let o be x*((-15)\/6)\/(-5). Is (2 - 115\/(-4))*o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -23. Let v(c) = 7*c**3 - 2*c + 1. What is the remainder when v(2) is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -62.79? (a) -12 (b) 4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121*z + 26*z - 2*z**2 + 12 - 4*z**3 + 78*z - 13 to the form y*z**3 + p*z + d + k*z**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*m = 2*q + 15, 0 = 2*q + 5*m - 30. Let t(g) = -7*g**3 - 5*g - 5. Let h = 0 + 2. Let n(d) = 3*d**3 + 2*d + 2. Determine h*t(o) + q*n(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 2*l - 2*l)*(2 - 3 + 3) + (-3 - 2 + 3)*(-40 - 3 - 25)*(0*l - 4*l + 3*l).\nAnswer: -134*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 4 = 36 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -250000144 (base 6) in base 3?\nAnswer: -22221210002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13.774 and -4.\nAnswer: -17.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1310969.\nAnswer: 11, 119179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3576.62 - -3576.5. Which is the second smallest value? (a) 1\/11 (b) 73 (c) j (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwwv when four letters picked without replacement from jjwvvwwvvwww?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f + 4. Let u be s(3). Suppose -55 = -2*y - 19. Let z = y + u. Let b(q) = 5*q - 5. Let h(n) = 16*n - 16. Calculate z*b(g) - 3*h(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.5 + 2. Let d = -4 + 3. Which is the nearest to d? (a) 1\/5 (b) n (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-9))\/((-2)\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10\/3, 4.6, 5, 2\/19, -2 in descending order.\nAnswer: 5, 4.6, 10\/3, 2, 2\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**3 + 99 - 109 - 6*i**3 wrt i.\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17395909.7 - -170.5?\nAnswer: -17395739.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -104311524 (base 6) to base 2\nAnswer: -111001101101111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 10. Let t(u) = u + 5. Let x be t(-5). Calculate the remainder when 10 + 15 - 6\/(-2) is divided by q(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13470 greater than or equal to -16721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + 3*h - 6*h + (1 + 2 + 1 + (-1 + 0 + 0)*(-2 + 1 + 2))*(-2*h + 7*h - 3*h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 - 70?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 248, 3, 5, 7198?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 2142*p.\nAnswer: -3*p*(p + 714)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021 + -11000112101110?\nAnswer: -11000112102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nu when two letters picked without replacement from {b: 7, p: 2, u: 1, l: 3, n: 7}?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76 - 72)*7\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (414*c - 50 + 6 - 412*c)*(-2 - 3*c**2 + 2) in the form n*c + g + i*c**2 + d*c**3 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 5*r - 33, -22 = -6*p + 21034*r - 21036*r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n**2 - 3 + n**3 - n**2 - 10*n**2 + 5*n. Let t be q(6). Is 9 a factor of (t\/6)\/(1\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**3 + 6*v**3 - 553*v + 553*v.\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 + 159. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, d: 2, k: 1, n: 5, a: 1}. Give prob of sequence add.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**3\/3 - 2*t**2 + 7*t - 3. Determine j(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 23 = 2*c, -2*c - 2*c - j = -19. Solve -f = c*r + 3*f + 32, 4*r = 4*f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -5*j**3\/6 - 10*j**2 - 30*j - 120. What is c in i(c) = 0?\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 + 57. What are the prime factors of 3 + 1 - t - -3?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 31*q - 561 + 77, 16*q - 4 + 0 = 15*q + 4*k for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -48 + 921*x - 8*x**2 - 889*x + 7*x**2. Does 12 divide y(30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.073 in -0.4, -552, 1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47.166 + 45.166. Which is the nearest to -1649? (a) -1\/4 (b) j (c) 0.2 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -12*x**2 - 2*x - 2. Let u be w(-1). Put u, 1, 2, -3 in descending order.\nAnswer: 2, 1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - z. Suppose -5*v + v = -16. Suppose 0 = 6*u - v*u + 2. Let t(l) = l**2 + 3*l + 1. Suppose -15*q = -21*q - 6. Give q*t(s) + u*k(s).\nAnswer: -2*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.05 and -45846663.\nAnswer: -45846663.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + (sqrt(1008) - (sqrt(1008) - (-1*1*sqrt(1008) - sqrt(1008)) - sqrt(1008)) - (2 + (sqrt(1008) + -1 - sqrt(1008)))) + -1)**2.\nAnswer: -72*sqrt(7) + 1013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + (2 + sqrt(891) + 2)**2 + -4.\nAnswer: 72*sqrt(11) + 902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 112787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*sqrt(2736).\nAnswer: -72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13326, 13327, 13328, 13329, 13330, 13331?\nAnswer: 13332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -321, -1, 2, 8 in decreasing order.\nAnswer: 8, 2, -1, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2687, 2683, 2677, 2669, 2659, 2647?\nAnswer: 2633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 13\/3. Let q = -208 - -179.6. Let d = q + -2.6. Is d equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**4\/6 + 130*y**2 - y. Let h be ((-12 - 0)\/2)\/(-2). Let f(x) = -2*x - 3*x + 5*x + h*x. What is o(f(r))?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n - 1. Let a(y) be the first derivative of -y**2 + y + 3. Suppose 13*d = 11*d - 6. Determine d*a(k) - 4*l(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -40\/17 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**3 + 12*g**3 + 3*g**3 + 3*g**3.\nAnswer: 23*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 less than 48.7?\nAnswer: 28.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170917538.\nAnswer: 2, 11, 7768979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 + 8349. Let w(q) = 370*q. What is w(f(z))?\nAnswer: 740*z**2 + 3089130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -1961, -3, 0.1?\nAnswer: -1961","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 less than 12175554.20396?\nAnswer: 12175560.20396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 129\/5 and 25 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.28, -43, -0.03?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05611345 rounded to five dps?\nAnswer: -0.05611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1769.\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + x + 1113 - 12 = 0, -5*c = 4*x - 2746. Let q = c - 216. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 less than -422?\nAnswer: -421.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 2*v - 2*v. Let t(f) = -2*f**2. Determine t(p(q)).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -41*h - 30. Determine g(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140*y**2 + 57*y wrt y.\nAnswer: -280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66981, 66979, 66977?\nAnswer: 66975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.52871 to 1 dp.\nAnswer: 38.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (0 + 1 - 19 - (-195 + 193))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11493*x + 11519*x + 11500*x - 34514*x - 31*x**2.\nAnswer: -31*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(88) + sqrt(88))\/sqrt(8))**2 + sqrt(11) + 4 + sqrt(33)\/sqrt(3).\nAnswer: 2*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 44*c - 35. Let l be n(20). Let i = -763 - l. Let g = i + 369. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m - 88. Let g be 4\/(-18) + 7\/(63\/992). What is the highest common divisor of m and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 1\/128 (b) -5 (c) 0.07 (d) 1\/9 (e) 0.049\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 9 + 0 - -11 - (11 - (12 + 10))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/32*49 - (-44)\/(-352)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1186\/20 + (-78)\/260 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (144\/64)\/(3\/(-16)). Let z = r + 15. Solve -3*a - z*x - 14 = -x, 0 = -a + x - 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -6*v - 30. Suppose -o + 5*d = -21 - 0, 68 = 4*o - 4*d. Suppose 3*l + o = -j, 5*l - 4*j - 4 + 8 = 0. Which is smaller: l or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 7*o**2 - 6*o + 1. Let g be c(6). Suppose -g = -j + 2. Solve y = -j*y - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*n**2 + 71*n**4 + 5 - 119*n**2 + 58*n**2 - 2*n**5 wrt n.\nAnswer: -120*n**2 + 1704*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*q + 22. Calculate the remainder when q is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 0. Let r be 56\/b + (1 - 3). Solve -3*f + r = 5*d, -d + 5*d = 4*f - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 85.23267 litres?\nAnswer: 85232.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35239 - 35223. Let i = -1 + 2. Solve i = -3*a + o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9861 - 6987 + 1665 = -2218*s + 9215 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*j + 11 + 18, -x + 22 = -4*j. Suppose -x*k - 770 = -k. What is the common denominator of (k\/(-112))\/((-2)\/(-8)) and 77\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - g - 1. Let t = 6980 + -6980. Let k(u) be the third derivative of 0 + t*u + 1\/2*u**3 + 13*u**2 + 1\/8*u**4. What is -3*i(z) - k(z)?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/6 + 5\/3. Let m be (2 - 0) + 1 + -3. Suppose m = -4*k - k. Are k and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26512, 51257, 92498, 150235, 224468, 315197?\n\"Answer: 8248*t**2 + t + 18263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**4\/24 + 2*m**3 - m**2. Let b be w(8). Solve 5*a = 4*k + 47 - 2, -b*k - 5*a + 5 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(91)*-6 - sqrt(91))\/(sqrt(28)*-6) - ((sqrt(637) + sqrt(637)*-1)*4 + sqrt(637) + 1 + -5))*-6)**2.\nAnswer: -2136*sqrt(13) + 105277\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4706 + -1?\nAnswer: 4705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -1)\/(0 + -2). Suppose 2*b - 5 + 21 = w. Is 26 a factor of (-798)\/b + (-3)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)\/u)\/(u*u**(-6\/5)\/u)*(u**(2\/5)\/u)\/(u\/u**(-2\/17)) assuming u is positive.\nAnswer: u**(-601\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 177220 + 1\/(336\/(-49) - -7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 964 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -52980 rounded to the nearest 100?\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/17 - 1662636*x + 5874261745554.\nAnswer: 2*(x - 7066203)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -2) + 2 + 3. Suppose k = -2*j + 5*w, 2*j - 4 = w - 2. Let i(t) = 2*t**2. What is the remainder when 21 is divided by i(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 24 = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgfh when four letters picked without replacement from tfgnnghftngtfnnn?\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0179140154 rounded to three dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i**2 - 51*i + 195. Let c(a) = -7*a**2 - 49*a + 195. Let w(z) = 5*c(z) - 6*o(z). Determine w(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 greater than or equal to 325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/20 and 37\/13152180.\nAnswer: 13152180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 69. Let b be t(-39). Let m be (-25)\/b*-3*(-3 - 1). Solve 20 = -m*r - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -7*b + o + 3*o - 19, -3*o = -3*b - 21 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/11 and -7\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2. Suppose -2*g - 3*h + 45 = -3, -3*g + 2*h + 72 = 0. Suppose t = -u + 5*u - g. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -445, -31, -1 in ascending order.\nAnswer: -445, -31, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 - 43*z**2 - 2*z - 34. Let p(q) = -q**3 - 21*q**2 - q - 17. Let x(c) = 6*g(c) - 13*p(c). Let b be x(-15). Factor -b - 1\/2*a**2 + 2*a.\nAnswer: -(a - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05486731 less than -0.2?\nAnswer: -0.25486731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8219396 is divided by 488?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-22))\/(-2 + 1). What is the nearest to l in 3, -3\/5, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1cd (base 15) in base 9?\nAnswer: -514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4045 is divided by 391?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 26*i - 84. Give f(-30).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2))**(-2\/33))**(-47)\/(q**(-2\/3)\/(q*(q\/(q*((q*q**(-7)*q)\/q)\/q))\/q)*q*q**(-2\/13)*q*q**1) assuming q is positive.\nAnswer: q**(1457\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 2*t - 2*x + 18, -3*t - x = 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52504091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -908.973637 and -36.\nAnswer: -944.973637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-996)\/(-18426) + (-590)\/(-37). Is 31 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 255*k - 2050.\nAnswer: -5*(k + 10)*(k + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5*(3 + sqrt(475) + sqrt(475))*3 - ((sqrt(475) + 2)*5 + (2 + (-1 + sqrt(475) - sqrt(475)) - sqrt(475)))))**2.\nAnswer: 304640*sqrt(19) + 8835776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, b: 7}. What is prob of picking 2 b?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87.557 + -0.443. Which is the third smallest value? (a) n (b) -2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25369 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1696 and 4922944?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9465693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 7 = 3*u, 4*u - 2*t = 6*u - 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.22764 millennia in decades?\nAnswer: 722.764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9318 + -9316. Solve 2*l + 3 = -l + a, -2*l = -2*a + w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**4\/24 + 2*p**3\/3 - 6*p**2 + 2*p. Let v(k) be the first derivative of m(k). Calculate v(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 876\/(-19418)*(-21)\/12*2.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {r: 5, b: 3, n: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 3, 1 in increasing order.\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16147.\nAnswer: 67, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 c, and 1 w when three letters picked without replacement from cpxxcxlxxcwhx?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/5)\/((c**(2\/5)*c*c)\/c)*(c\/(c*c**0))**3*(c\/c**(4\/9)*c*(c**(-7)*c)\/c)\/(c**(-2\/7))**(-45) assuming c is positive.\nAnswer: c**(-1216\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, e: 2, c: 3, j: 1, h: 1}. Give prob of picking 1 h and 1 c.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/13331668 and -61\/44406?\nAnswer: 119985012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-16) + (-2379995)\/20. Round y to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-624)\/15)\/(-4) + -12.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 312 = -0*u. Let k = u + -73. Solve k*p + t - 21 = -1, -p = -4*t - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from wuuwwwwuwwwwwbww?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1176615.8 rounded to the nearest one thousand?\nAnswer: -1177000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16035 - 4622?\nAnswer: -21657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 544, 547, 550, 553, 556, 559?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 23\/(-6) + 2\/(-12). Let l = v + 7. Solve -15 = -3*i + l*o, -3*i + 0*i + 15 = -2*o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.027 and 26032.\nAnswer: -702.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, -94, -317, -628, -1027, -1514, -2089?\nAnswer: -2752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 56?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/((-10)\/5) - 10\/(-2). Suppose 10 = 7*o - a*o. Are -9 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 d when four letters picked without replacement from {d: 3, o: 5}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -813*w - 181295. Calculate k(-223).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 158 + -157. What is the biggest value in k, 4, -15, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-140)*(-140)\/(-98)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -517162 (base 12) to base 6\nAnswer: -43213002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c*p**2 - 15*c*p + c - 3*p**5 + 2*p**4 - 2*p**2 + 5*p + 8 wrt p?\nAnswer: -2*c - 60*p**3 + 24*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163 (base 12) to base 5.\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/29, 0, -578\/5, -2\/13 in decreasing order.\nAnswer: 4\/29, 0, -2\/13, -578\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + b + 0 + (0 + 0 - b)*(2 + 3 - 3) + b + 2*b + b)*(b + 0*b - 5*b)*(-7*b**2 - 6*b + 6*b)*(2 + 1 - 4).\nAnswer: -84*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 5*f**2 + 6*f + 4. Let n(a) = -5*a**2 + 42*a + 22. Let q be n(9). What is l(q)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/56 and -77\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-3)*3\/(-2). Let h(x) be the first derivative of -4*x**2 + 2*x + 16. Is h(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17616436*w - 12119766.\nAnswer: 17616436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6887*a + 4145968. Determine q(602).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*k - 3*k. Find the third derivative of -k*g**2 + g**2 - 2*g**2 - 5*g**4 + 5*g**2 wrt g.\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-88)\/(-32) + 2\/8. Let h(j) = j**3 - 2*j**2 - j + 1. Is h(l) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(288) + sqrt(288) + -1 + sqrt(288))**2 + 2)*4.\nAnswer: -288*sqrt(2) + 10360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**4 + 432*d**3 - 52470*d**2 + 618576*d + 27551475 = 0.\nAnswer: -225, -17, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 684, 7, 13 in decreasing order.\nAnswer: 684, 13, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 554, 1596, 3458, 6374, 10578?\nAnswer: 16304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -183 - 178. Let s = f + 362. Solve 2*v = s + 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**3 - k**4 + 35*k**2 - 1 - 35*k**2 + k to x*k**3 + z + t*k**4 + w*k + c*k**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5436*x - 87033. Calculate w(16).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 10*s - 33 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1001111010000010000100?\nAnswer: 1001111010000010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 793 in decreasing order.\nAnswer: 793, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -210577\/18 - -11704. Let v be (9 - 8)*20\/5338. Let b = 210751\/26690 + v. What is the common denominator of c and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/(-14)*21\/(-6). Suppose 2*t = 3*o - 2*o - 10, 2*t = -m. Suppose o*l = -0*l + 32. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 26336.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*1*(-3)\/(-6). Suppose 2*y = -h*y + 4. Find the third derivative of 2*p**4 + 0*p**4 + 0*p**2 - y*p**2 wrt p.\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -897, -2145, -4227, -7143, -10893, -15477, -20895?\nAnswer: -27147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 3*f + 0*f)*(-6*f - 12*f + 25 - 28) as r*f**2 + q*f + w and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxrxcxcx. Give prob of sequence rx.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 10:06 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*k + 3*k + 2*k)*(-2 + 0 - 3) - 2 - k + 2)*(0*k - 2*k**3 + 0*k)*(-2 - 3 + 4).\nAnswer: -22*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01483084 to four dps.\nAnswer: -0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -389?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*t + 21 = -4*z, -4*t + 6*z + 10 = -5*z + 13*z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 157475596 divided by -78737798?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lgglgggggngigghgnggh. Give prob of sequence ngi.\nAnswer: 13\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5390 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 20*w**2 - w - 1. Let y be c(-1). Let l be -1*35 - (17 - y). Let h = l + 34. What is the highest common divisor of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000511 rounded to six decimal places?\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 11) to base 5.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*-1)\/((sqrt(90) - 2*sqrt(90)) + sqrt(10)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1220235 + 6153.91.\nAnswer: -1214081.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 1 = 22. Suppose -l*r = -5 - 1. Suppose 0 = 2*y + 5*s - 15, 3*y - 3 = r*y - 4*s. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -9*s + 39. Let j be k(12). Let d = j - -67. What is the tens digit of (1485\/30)\/((-1)\/d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 - 18?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 921133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrduujdjp. What is prob of sequence dd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2693ba (base 12) in base 8?\nAnswer: -2336376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2322389705?\nAnswer: 5, 464477941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.102 + 0.045. Let x = 0.443 - v. Let i be (-2)\/7 - 9\/(-7). Which is the third biggest value? (a) i (b) -0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**3 + 17*b**2 - 195*b + 756. Give i(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w + 2. Let h be r(1). Let x be 5\/((4 - 0)\/h). Suppose -x*v - v = -4854. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.14 + 0.14. Let o be 22\/48 - (-1)\/(-3). Does x = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -699 - -454. Let p = m - -244. Which is smaller: -2\/189 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-12)\/(-4) - 8).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -152*g + 84*g + 72*g - 53*g**4 + 15 wrt g?\nAnswer: -636*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45525*y**2 - 123 - 22715*y**2 + 2*y**3 - 22752*y**2 + 6 as m*y**2 + c*y + r + u*y**3 and give r.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v - 12. Let h be a(-4). Suppose 5*g + 5*t = -0*t + 50, -h*t = -2*g - 10. Suppose -5*s - w = -62, -s = -0*s - g*w - 2. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j. Suppose -5*x + 4*v - 20 = j, -x = 5*v - 3 - 22. Suppose 0 = -n - 0*n. Solve 4*g - 2*h = -n*g + 16, -3*h = x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -5, -0.2, -975?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/11)\/(x*x**(-2))*x**(-7)\/((x\/(x\/(x**(-6)\/x)*x*x))\/x))\/(x**14\/(x**10\/x))**34 assuming x is positive.\nAnswer: x**(-1832\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -181.62 - -181.92. Which is the nearest to 19? (a) -2\/15 (b) 7 (c) x (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**4\/4 - 3*d**3 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 353867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2023, 2042, 2061, 2080, 2099, 2118?\n\"Answer: 19*f + 2004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 8*r**2 + 7*r + 9. Let q be y(7). Suppose -q - 5 = -j. Suppose -p - p + j = 0. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266, -302, -336, -368, -398?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2. Let h(m) = -352*m**2. Give h(v(a)).\nAnswer: -352*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 6712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/29700)\/((-4)\/22)?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 2. Let q(a) = -2*a. Let b be q(i). Is 4 a factor of 1 - (2 + -2 + b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00020069 to 5 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46621*s - 46675*s - 1458 = 0 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000713063 to six dps.\nAnswer: -0.000713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (36\/24)\/((-6)\/(-16))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8563347 days to hours.\nAnswer: 20.5520328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11215296 and 116826.\nAnswer: 11215296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2636824 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f + 44 = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1104 = 4*l, -5*l = -5*y - 9*l + 1344. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15 + -14 + 28)*(1 + -1). Suppose 4*w + 12 = 92. Let l = 4 + w. Solve m = n - 4*k - l + 6, 18 = -4*n - 2*k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 4\/79737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27552 and 546.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by -66?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 458119663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}