diff --git "a/data/dm_maths/full_data/160_11255.jsonl" "b/data/dm_maths/full_data/160_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/160_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 3*i + 285 = -3*y, -15 = -4*y + 7*y. Is 2\/7 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14358, -15007, -15656, -16305?\n\"Answer: -649*c - 13709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 26 + 4 + -3 + -14 + -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**2 + 8*h**2 + 7*h**2 + (-h + 0 + 0)*(6*h - 11*h - 16*h + (-3 + 5 + 0)*(2*h - 4*h + 3*h)).\nAnswer: 38*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + m = 5*t - 2, -5*t + 12 = -m. Let l be t\/6*(1 + 5). Solve q + 2*c + 8 = -4, -3*c = -l*q + 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 12 = 0, 2*f + 3*j = 5*f - 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 15*c**2 - 21*c - 60. Let a be u(-14). Solve a*t - 37*t + 4 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 2*b**3\/3 - 25*b**2\/2 - 5*b - 2. Let i(t) = -7*t + 49. Calculate 5*h(x) + 3*i(x).\nAnswer: -x + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*v + 162 = -81*v. What is the lowest common multiple of 180 and v?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4 - 60*g**3 = 0 for g.\nAnswer: -60, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, h: 2}. Give prob of picking 1 a and 2 h.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -122\/19 (b) 5 (c) 115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -297 <= -296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-16) + 15\/(-10) + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -28 - (-5 - (-6 - (-20 + 11)))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4650 (base 11) to base 5\nAnswer: -143410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**3\/2 - 5*z**2 - 25*z\/2 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4257 = 2331*g - 53341 - 68276 for g.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 13 + 12 + 15 + 695885*w.\nAnswer: 695885*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 3*w**2 - 3*w + 7. Let p(u) = 2*u**3 - 7*u**2 - 6*u + 14. Let i(r) = 5*g(r) - 3*p(r). Give i(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5035716989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0. Let j = 0.1 - g. Let m = -287 + 287. Which is the closest to j? (a) 5 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144630 (base 8) to base 3.\nAnswer: 2121210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*1*3)\/(sqrt(28)*-1 + sqrt(7)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -312242 (base 7) to base 6\nAnswer: -1052152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7102 - -7191. Solve -g*w + 103*w = 70 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/3 - 4*n - 46189\/3 = 0. What is n?\nAnswer: -209, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 2*y. Suppose 0 = -16*x + 31 + 1. Give j(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 69051 - 2220 = 5*p, 0 = 5*p + 4*b - 66851. What are the prime factors of p?\nAnswer: 13367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w + 1. Calculate z(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 337 divided by -70213.\nAnswer: -337\/70213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 8 = 4*l + l, 2*l - 24 = 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.1 - 0.6. Let s = -5.69739 + 0.21459. Let h = b + s. What is h rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -7. Which is smaller: -6 or c?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1248 - -2592. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 + 0)*(-n**5 + 0*n**5 + 2*n**5) + 0*n**5 + 9*n - 8*n + 2 + n**5.\nAnswer: 8*n**5 + n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3) + (-8 + -20 - -15).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3226938 and 2145?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p**3 - 12*p**2 - 4*p + 4. Let l be x(3). Is l equal to 0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*o - o + 130. What is the tens digit of (-1918)\/35*o\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3616406 (base 7) to base 9\nAnswer: -767778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -8)*(-5 + 4). Let t(n) = n**3 - 2*n**2 - 2*n + 2. What is the tens digit of t(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12419341?\nAnswer: 11, 727, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64 - -14) + -86 - 54.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132948620 a multiple of 3338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.86 - 3.16. Let y = -0.7 + g. What is the fourth biggest value in -4\/5, 0.1, y, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -23, 6, 30, -62, -10 in descending order.\nAnswer: 30, 6, 3, -5, -10, -23, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15326634 and 0.814685.\nAnswer: -15326633.185315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 + 135616*y\/3 + 2298962432\/3.\nAnswer: 2*(y + 33904)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.6711 and -116.\nAnswer: -1005.8476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i = 40*i - 2206. What is the remainder when i is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/49)\/(1530\/(-168) + (-5 - -14))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3736534 and 16806?\nAnswer: 11209602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**4 + 0*x**4 + 2*x**3 - 2*x**2 + 60 - 59 to the form c*x**3 + a*x**2 + y*x + v + d*x**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 6) to base 14\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 81918.\nAnswer: 573426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, 3, 5, -2, 4, -417 in ascending order.\nAnswer: -417, -5\/2, -2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/3? (a) -10848 (b) 9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2377*w - 6 + 45 = p - 2373*w, -8*p = p + 5*w - 72 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-3) - 73\/(-30). Let k = -1\/6 - s. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-55)\/(-5 + 0). Solve o + 1 = -d, -d = -5*d + 3*o - i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -213 + 364. Calculate the remainder when s is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -304, -345, -458, -679, -1044, -1589?\nAnswer: -2350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/2 - 913*i**4\/2 - 104424*i**3 - 103968*i**2.\nAnswer: -i**2*(i + 1)*(i + 456)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 8, 1.7, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -486*x + 431?\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - n**4 - n - n**4 - 2*n**4 + 5*n**4 + (-1 + 2*n + 1)*(5*n**3 - 2*n**3 - 2*n**3) + (5 - 5 + 4*n)*(-2*n + 2*n - 2*n**3).\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9178778 and 91616?\nAnswer: 5726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 2*u + 568 = 411, 18*p - 4*u = 398 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -285*t + 1134. Let w be i(4). Let b(n) = -7*n**3 - 11*n - 15. Let p(d) = 3*d**3 + 5*d + 7. Give w*b(o) - 13*p(o).\nAnswer: 3*o**3 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**2 + 51*n + 48. Calculate the remainder when 339 is divided by j(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (0 + 4)) + (-116 - -126)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 2. Suppose -17 = -3*w - 4*h + 2*h, -5*h - 61 = -4*w. Let z be p(w). Let c be 2\/z + (-148)\/(-28). Solve -c*x + f = 0, -8 - 7 = -5*x + 4*f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 5*f - 2. Let w be o(-4). Let r be w + 4 + (2 - 4)\/2. Suppose l + 4*n = -0*l + 12, 44 = r*l + 4*n. Solve j - l = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 less than 0.2762?\nAnswer: 2.1762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -14*l + 12. Let w(x) = -12*x + 10. Give -2*q(z) + 3*w(z).\nAnswer: -8*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/4, -2, -2\/19, 2, -3 in descending order.\nAnswer: 2, 7\/4, -2\/19, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 15. Let n = 22 - r. Let x = 1.0000018 + n. Round x to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 3:35 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*v - 44*v - 23*v - 47*v + 162*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -183 + 176. Let h(d) = -45*d - 92. Is h(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 16 = -2*q. Suppose -q*f + 117 = 5*g, -5*g - f = -63 - 60. Let r(x) = x**2 + 5*x + 7. What is the remainder when g is divided by r(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73150809?\nAnswer: 3, 487, 50069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 o, and 1 j when three letters picked without replacement from {c: 2, j: 2, o: 1, s: 1, m: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 8:31 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 101 - 25. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**4\/z))**(-3) assuming z is positive.\nAnswer: z**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 17 = -k, -8*o = -3*o - 15. Let l = -435 + 458. Suppose 31*m - 648 = l*m. What is the remainder when m is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 21 = -11*m. Let w(r) = r + 10. Let f be w(m). Solve 18 = -5*z + f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 57\/2, 5\/3, -15\/2, 4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -77.\nAnswer: -77, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 - 2*p**4 + 0*p**4 + (-1 + 1 + 2*p)*(-3*p**2 + 3*p**2 + 3*p**3) + 3*p**4 - 3*p**4 - p**4.\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiif when four letters picked without replacement from iiiifiii?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01213 minus -7202348913?\nAnswer: 7202348912.98787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.778977 days in milliseconds?\nAnswer: 672103612.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 at most as big as 77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22731, -22669, -22607, -22545, -22483, -22421?\nAnswer: -22359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 541, 0.8, 0 in ascending order.\nAnswer: 0, 0.8, 3, 541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12811 - 12811 + 115*l)*(0*l + 0*l - l**3) + (1 + 2*l**2 - 1)*(-2*l**2 + 0*l**2 + 3*l**2) to the form x*l**2 + p*l**4 + d + t*l + v*l**3 and give p.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4333159 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (7 - -4) - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*b + 5404 - 17*b + 17*b - 3*b.\nAnswer: -33*b + 5404","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 41. Let w = 8 + -8. Is 7 a factor of f(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3242832, -3242818, -3242804, -3242790?\nAnswer: -3242776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (0 + (-78)\/(-24)) - -6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1360, -120, 5 in descending order.\nAnswer: 1360, 5, 0, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49\/222 + 2\/37. Let d = -0.3 + 3.3. Let l = 0 - 0.3. Which is the closest to l? (a) f (b) d (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/3461120 and 27\/2422784.\nAnswer: 24227840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (20\/25)\/((-6)\/(-10)). What is the fourth smallest value in 0.2, 2, -1, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - c**2 - 978*c + 14. Give h(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*-1 - 2414\/(-142)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 64795 divided by 12959\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.2, 5\/4, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -2*k + 4*k. Suppose 0 = 42*m - k*m + 252. Let i = m - -8. What is the remainder when i is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 99, 267, 725, 1617, 3087?\n\"Answer: 24*g**3 + g**2 - 3*g + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.48*0.11.\nAnswer: 0.9328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*r + 26 = r, -3*g = 4*r + 41. Let n = 0 - g. What is the greatest common factor of 77 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-2 + 2 + 0). Suppose j = 2*z + h - 11, 2*z + 4*h = -2*z + 32. Suppose 5*f - 1 - 24 = 0. What is the smallest common multiple of f and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 206597 (base 13) to base 8\nAnswer: 2706001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c**(2\/17)\/c)*c)\/(c**(-16)\/c) assuming c is positive.\nAnswer: c**(338\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**4\/24 - a**3\/6 + 3*a**2 + 6. What is l(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.37, -11\/2, 1\/6 in ascending order.\nAnswer: -11\/2, -0.37, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 7, -2\/13, -1 in increasing order.\nAnswer: -1, -1\/4, -2\/13, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 301330, 301401, 301500, 301627, 301782?\n\"Answer: 14*r**2 + 29*r + 301287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 10*d**3 + 3*d**2 - 9*d - 15. Let i be o(-3). Is i at least as big as -234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 - -93. Which is the nearest to q? (a) -0.5 (b) 0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(3*h - h - 3*h) - 2*h - 3*h + 4*h + (-5 + 3 + 3)*(2*h - 5*h + h) + (-4*h + h + h)*(-5 + 11 + 5).\nAnswer: -23*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmw. What is prob of sequence wm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -26 (c) 0.279 (d) -7 (e) -7.9 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-12)*(-1 - -13). Suppose b*w + 10 = 58. Calculate the remainder when w is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -729512404 times -0.4?\nAnswer: 291804961.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 5. Let y = n + 8. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(112) + 0 + 1*(0 + sqrt(175)).\nAnswer: 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from knnknkkkkkkknkkkkk.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 3. Let r(g) = -3*g**2 + 5. Suppose -117 = 5*w - 142. Let t(h) = w*v(h) + 3*r(h). Let n(y) = 3*y**2 - 11. Calculate t(n(d)).\nAnswer: 9*d**4 - 66*d**2 + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -0.0363855\nAnswer: -0.0145542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*((-6)\/9 + 1). Let j(s) = -s**3. Let w(r) = r**3 - 2*r**2. Let l(a) = u*w(a) - 3*j(a). What is the third derivative of l(m) wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 2294 - 2349. Let p = -115\/28 + 27\/7. What is the second biggest value in p, t, 2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25018 - 332?\nAnswer: -25350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/93, -5, 0.4, 0.7, 2\/19?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8226 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 7. Let s be n(17). Solve 3*i = 5*i - s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/19829 and 16\/869?\nAnswer: 218119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -393 (base 10) in base 9?\nAnswer: -476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8680.407 decades in years?\nAnswer: 86804.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24783736 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32897 = 3*b - 4*u, -34101 = -8*b - 5*u + 53546. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 7*i + 5, -2*h + 5*i = h - 31. Solve h = -8*n + 28 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (524 - 662 + 456)*(3 - 1 - 1)*(0 + 0 - 5*s**3) to the form x*s**2 + r*s + u*s**3 + d and give u.\nAnswer: -1590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 541 + -541.0271. Let m = z - -1.9271. Suppose 0 = 4*h - 13 - 3. Which is the biggest value? (a) 0.5 (b) m (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 908659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1*3\/(-2))\/(245\/1470)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*s - 17 - 17*s - 6*s**2 - 66 - 20*s to the form g + v*s + p*s**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1493865 or -1493864?\nAnswer: -1493864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -386 - -397. Solve -y*n - 4*r - 8 = -15*n, 5*n = -5*r + 30 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-36)\/42)\/((-4)\/14). Suppose -p*s + 4*s = 0. Let z be -3 - (1 + s + -2). Put 5, 3, z in increasing order.\nAnswer: z, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (162\/(-66) + 2)*(-2)\/(-5) - 13052\/(-2574). Factor 2\/9*i**2 + u*i - 46\/9.\nAnswer: 2*(i - 1)*(i + 23)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7665404073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 68. Suppose -5*w + 3*g + 195 = -99, -w = 5*g - n. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -321*o + 314*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(1300) + (sqrt(65)*1)\/sqrt(5))**2 - (((sqrt(1573) + 3)**2 - sqrt(1573)) + sqrt(26)\/(sqrt(2) - -2*sqrt(2)))).\nAnswer: -166*sqrt(13)\/3 - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 26*v**2 + 1. Let r be a(-2). Let s = -66 + r. Let w = -29 + s. Calculate the lowest common multiple of 8 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s + 6. Calculate g(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 53234025*r**2 - 2103136 wrt r.\nAnswer: 106468050*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7588.01 + 7588. What is the second biggest value in -125, u, 2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256701887 is divided by 2866.\nAnswer: 2865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 3*x**2 + 7*x + 5. Let m(u) = u**3 + 3*u**2 + 6*u + 4. Let q(h) = -4*m(h) + 3*o(h). Let f be q(-2). Let w = 3035\/4 + -7587\/10. Does f = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-1 - 1)*8\/(-320)*-4). Which is the third smallest value? (a) f (b) 9 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/5 (b) -2\/15 (c) 1\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 123, 3, 80, -1.\nAnswer: -5, -1, 3, 80, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16 and 0.291.\nAnswer: -4.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6121 = -80*w + 5758 - 3719. Calculate the greatest common divisor of 867 and w.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -322 + 322.326. Round j to 2 dps.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 593*b**2\/2 + 3679. Let u(p) = 17*p. Give u(k(j)).\nAnswer: 10081*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l\/l**(2\/17))\/l*l)\/l*l**(2\/11))\/(l*l**(-3\/5)*l**(2\/3)))\/((l**(4\/7)*l**(-1\/2))\/(l*l**(1\/3))**(-19)) assuming l is positive.\nAnswer: l**(-332581\/13090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3)*(80*b - 6*b + 6*b)*(-3 - 7 + 13)*(3 + 3 - 4) as x*b + m and give x.\nAnswer: 960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5670062 - -1?\nAnswer: 5670063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26761 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3593604319 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**3 + 2*j + 8. Let m = 969 - 972. Let p(s) = 6*s**3 - 3*s - 15. What is m*p(x) - 5*h(x)?\nAnswer: -3*x**3 - x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 3161909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 13*j - 11. Calculate s(6).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 2)*3*(-20)\/(-6). Let n be (-34)\/f + 9*(-9)\/(-135). Solve -20 = n*v + v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(102)*3)\/sqrt(6).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/7665624 and -181\/1932?\nAnswer: 53659368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4*-9*2. What is the lowest common multiple of 9 and p\/(-2)*-2 + -4?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2314230806 - -10\nAnswer: 2314230816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, a: 1, e: 4, q: 2, n: 2}. Give prob of sequence qya.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 9) + 3 - 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 329 - 314. What is the remainder when x is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99.3000269 - 99.3. What is o rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19961, -35160, -50359, -65558, -80757?\n\"Answer: -15199*d - 4762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 28*z + 54. Let d be n(-26). Suppose -4 = -v + k, d*v + k = -3*v + 50. Solve 12 = -4*s, 3*g - v = 2*g + 2*s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -627.073466 - -0.083466. Let m = 707 + -1337. Let a = v - m. What is a rounded to one dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(6336) + sqrt(6336) + -3 + (2*sqrt(6336))**2 + -2 + -1)*-5.\nAnswer: -126675 - 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 9, l: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*d - 15*d**2 + 72*d - 154*d + 7)*(-d + 0*d + 0*d)*(2*d - d - 4*d).\nAnswer: -45*d**4 - 24*d**3 + 21*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -216 divided by -216\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + 11 - 38 - (-2 + -7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 605 = 608 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22195756133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 29\/5*w**5 + 0*w**2 + 0*w**4 + 30 - 23\/3*w**3 + 0*w. Find the third derivative of v(j) wrt j.\nAnswer: 696*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/5 + (-1 - -2). Let n = -3 - -5. What is the third derivative of -y*f**3 - 3*f**3 + 2 - n - 3*f**2 wrt f?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 + 51*a**3 - 57*a**2 - 51*a + 54.\nAnswer: 3*(a - 1)**2*(a + 1)*(a + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/232 and 97\/116?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -515418435 - -295418435. What is b rounded to the nearest 1000000?\nAnswer: -220000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001241258 to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-81)\/(-156))*((-663)\/68)\/13.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 13*p**2 - p + 15. Let z be x(13). Solve 5*i + z = 3*w, -5*i + 2*w - 2 = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/480 and 13\/240.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 5:53 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)*-2)\/sqrt(12))\/(2*(sqrt(11) + sqrt(11)*2)).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 33 = 3*j, 0 = -j + 3*j + 3*q - 15. Suppose 4*m - j = 40. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -a - 2*a. Calculate the highest common factor of a and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -3*c + 5*t - 265, 3*t = 2*c - 45. Solve -r = c*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*(-2*(sqrt(1573) + sqrt(1573)*-2) - sqrt(1573)) - -4*-1*(sqrt(1573) + 1)))**2.\nAnswer: 264*sqrt(13) + 14173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2786 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 greater than 269\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 130997018?\nAnswer: 130997018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 + 83. Find the second derivative of 23*k - 171 + 171 + 37*k**y wrt k.\nAnswer: 222*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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 next term in -476, -950, -1424, -1898?\nAnswer: -2372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13046237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 162*s - 42*s + 209*s + 501 - 41 wrt s.\nAnswer: 329","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 811.403km?\nAnswer: 811403000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2024\/(-110))\/46)\/((-2)\/(-90)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0749? (a) 5 (b) -2 (c) 0.5 (d) 0.2 (e) -2074\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -8. Let s(r) = -2*r + 5. Let b be s(4). Put 0, b, n in increasing order.\nAnswer: b, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/208 and -47\/936.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**3)\/(t*t**3*t*t))**(33\/5) assuming t is positive.\nAnswer: t**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -0.028 (c) 2\/5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*o + 90 = 0, a - 2*a + 2*o = -16. Suppose 0 = 2*u - 33 - 7. What is the highest common divisor of a and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.109.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t + 2*t - 4*t)*(-2 + 4 - 1)*(-t - 3*t + 2*t) - 8*t**2 - 225*t + 225*t.\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 455 + -175. Suppose 2*r = n - 42. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -51. Let r = -461\/9 + 51. Is r less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/(-8)*2\/(-3). Let j be 24\/(-16) + (-7)\/(-14)*5. Let -1\/2*a**2 + 1\/4*a**d - 7\/4*a - j = 0. Calculate a.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1792 - -1791.8. Let x be ((-1)\/7)\/((-6)\/(-7)). Which is the closest to v? (a) x (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2583?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 795 - 400 - 506*d - 395 to t + f*d and give f.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 2*u + 3. Let b be d(2). What is the units digit of (-2 + 3 - 0\/b)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96988 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5555949 to the power of 1\/2, to the nearest integer?\nAnswer: 2357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 5241974.\nAnswer: -7\/5241974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-8)\/144)\/((-2)\/(-20)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 3*q**2 - 6*q + 6. Let g be i(4). What are the prime factors of 1\/((-1)\/g) - -15?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7071 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.7 times 3?\nAnswer: -140.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -52819, -52891, -52963?\n\"Answer: -72*r - 52747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 69\/((105\/10)\/7). Suppose -d*k + 44*k + 10 = 0. Factor 1\/2*o**3 + 1\/2*o**2 + 0*o + 0 - 1\/2*o**k - 1\/2*o**4.\nAnswer: -o**2*(o - 1)*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6761954 is divided by 273.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 6 - 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 14*t - 7. Let j(g) = 7*g + 4. Suppose -94*c = -36*c - 34*c + 168. Determine c*j(m) - 4*p(m).\nAnswer: -4*m**2 + 7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1023?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -274.678 - -1.2\nAnswer: -273.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-4))\/(c\/c**3*c))\/(c\/c**(6\/5)*c*c**(2\/7))*((c*c**(-1\/3))\/c**(-1\/15))**45 assuming c is positive.\nAnswer: c**(1047\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 26. Let r = 0.00001 - z. Round r to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2591.2 + 2581.2. Let h = -0.28 + 0.3. Let i = -0.38 - h. Put i, r, 0.5 in descending order.\nAnswer: 0.5, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 48 = f. Let x be f\/(-3 - (-3)\/2). Suppose 69 + x = q. What is the remainder when q is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 93037030 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l**3 - 3*l**2 + 6*l - 11. Give h(2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 0*n + 5*n**4)*((-2 - 2 + 6)*(3 - 8 - 5) + (2 - 5 - 2)*(-4 + 3 + 0)).\nAnswer: -75*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*i**2 - 16453*i**3 - 11247*i + 11247*i + 16452*i**3.\nAnswer: -i**3 - 17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -113 + 234. Suppose -3*u = -d + 4. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -10. Suppose v = 5*h - 895, 0 = -b*h - 0*h + 3*v + 345. What is the greatest common divisor of h and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 44.114mg?\nAnswer: 44114000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k**3 + k**4 - 2*k**4 - 2*k**2 + 5*k**3 - 5*k in the form l*k + u*k**2 + f + n*k**4 + q*k**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + 6 + -73 - -8.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 3*r + 36 = 0, -4*b - 14 = 19846*r - 19848*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 - -1 - ((-40)\/4 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 22*v - 35*v - 19 + 16*v. Let l be q(5). Let r(f) = f**3 - 4*f**2 - 4*f - 2. Let n be r(5). Put l, -5, n in increasing order.\nAnswer: -5, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -8) + (0 - -1) - 3 - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9530192 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, -20 in ascending order.\nAnswer: -20, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66226 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-16\/5)*x)\/(x\/x**(1\/13)*x))**(2\/75))**17 assuming x is positive.\nAnswer: x**(-9112\/4875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1748972130 rounded to the nearest one hundred thousand?\nAnswer: -1749000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 10:43 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 347 - 2?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -32 - (-81 + (69 - -57)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1009*g + 316*g - 322*g - 6475*g + 390*g - 5790*g.\nAnswer: -10872*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 98 = -3*l - 4*m, 3*l + 2*m = 60. Suppose 2*j + l = 4*j. Solve -3*c = -4*k - 18, j = -2*c - 2*k - 3*k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 39514 - 3?\nAnswer: 39511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3 + (-232)\/(-87). Suppose -4*g - u*j = -16, g = 9*j - 7*j - 6. Solve -3 + g = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 788700351?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 2545206?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2, 3, 1\/2, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*t + 18, 3*r - 8*r = -4*t - 5. Let j be ((-52)\/(-130))\/((-1)\/t). Let q(s) = 3*s**2 - 2. What is q(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2583 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91 or -7325.8?\nAnswer: -7325.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -10) + (-8 - (-2 + -4)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 - 3*n**3 - 2*n**3 - 4*n**2 - 7*n**3 + 4*n**2 + 3*n**3 + 0*n**3 - n**3 + (-3*n + 2*n**2 + 3*n)*(n - n + 2*n).\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*w = -5*z + 10, 6 = 3*z - w. Is (2 - z) + (3 - -1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392307317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 26 = -17*t. Suppose -7*g = -0*g - t*g. Suppose g*y - 4*u - 128 = -y, 0 = 5*y + 2*u - 750. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78536876833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 0*t**4 + 4\/5*t**5 + 1 + 0*t**2 + 0*t + 4\/3*t**3. Find the third derivative of g(v) wrt v.\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*n - 15. Suppose -d = -n, 6 = 3*r + 5*d - 3. Let m = -3 - r. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116327\/9 - 12925. Let x = 0.8 - 5.8. What is the smallest value in 5, x, k, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k + v + 7, 0 = -5*k - 4*v - 15. What is the units digit of ((-7)\/(-3))\/(k\/57)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h - 37. Let q be k(-8). Suppose 5*t + g + 186 = -4, -q*g - 141 = 4*t. Find the common denominator of 71\/30 and (-6)\/t - (-1291)\/312.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-644 - -637) + -6 + -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19221.\nAnswer: 3, 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -110, -805\/187 in increasing order.\nAnswer: -110, -805\/187, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 37*v + 374. Let o(m) = -4*m + 132. Let a be o(34). What are the prime factors of u(a)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 24 = -2*h - 2*h, -2*h = b. Let m be ((-2)\/b)\/(1\/6). Factor 0*s**m + 2\/7*s**3 + 0*s + 0.\nAnswer: 2*s**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(66) + (sqrt(66) - (sqrt(66) + 6*(sqrt(66) - 2*sqrt(66)))) + sqrt(66) + sqrt(66) - sqrt(66)*-1*2)\/(sqrt(864) + -1*sqrt(864)*3 + sqrt(864)).\nAnswer: -11*sqrt(11)\/12 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**3*j**3 + 17*d**3*j + 3*d**3 - 103*d**2*j**3 + 7*d**2*j**2 + 12*j**3 wrt j.\nAnswer: -18*d**3 - 618*d**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 13*s + 18 = -15*s, 5*c - s = -12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p = -16*p - 4. Solve -2*c - q = -c - 1, -p*c - 1 = 3*q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**4 - 3812*g**3 - 342699*g**2 - 1953162*g - 2878200 = 0.\nAnswer: -82, -3, 3900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**19\/(t*t**(-3\/2)) assuming t is positive.\nAnswer: t**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 14*h - 45. Let j be s(-8). Suppose -20*l + 4 = -76. Solve -7 = 5*d - l*g, -j*d = 2*d - g - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4411 - 4405. What is the closest to -1 in h, 0.5, 5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 12:07 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 410 and 16380?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 + 12)*((-5*k + 2*k + 2*k)*(4 - 4 - 1) - 2*k + 2*k - 2*k - 15*k + 7*k - 72*k) to the form n + q*k and give q.\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -211?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11122401 (base 5) to base 15\nAnswer: 1e2a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 + 133*o + 203. Let q be d(-65). Let z(a) be the first derivative of 0*a - 1\/2*a**2 - q. Let m(i) = -17*i. Give m(z(h)).\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s + 15 = 0. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -1 - (-662 - -647)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2) + (48 - 50) + (-9 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.21 + 4.79. Let m = -1 + 1.3. Let i = -0.6 + m. Which is the second smallest value? (a) y (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 468\/68 + 4\/34. Let p(j) = j**2 - 7*j + 1. Give p(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 45882e - 10?\nAnswer: 45881e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 119785.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 1042 = p - 3*j, 2*p - 392 = 5*j. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**4\/4 + 5*y**3\/3 + 2*y**2 + 2*y + 35. Give s(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1532672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*p + 18. Let v = -537\/4 - -2123\/16. What is the common denominator of v and (1647\/48)\/p - -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**4\/6 + 4*k**3 + 55*k**2 - 3. Let o be l(6). Solve o = -2*n + 28 - 22 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*u - 244 = 38*u + 306 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (22 + 1)) + 1030 + -1043.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/110250 and 151\/24?\nAnswer: 441000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -23186\/57?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 27. Let y be o(0). Let m be 16\/(-6)*y\/6. Let x be (3\/(-4))\/((-6)\/m). What is the smallest value in 4, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6516 divided by -3\nAnswer: 2172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206.34669 months to decades.\nAnswer: 1.71955575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2937381.3 months to centuries.\nAnswer: 2447.81775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506677 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -9*u**4 + 5*u**2 + 10. Let n(o) = -13*o**4 + 7*o**2 + 15. Let c(w) = -7*a(w) + 5*n(w). What is the first derivative of c(i) wrt i?\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202111233 (base 4) in base 10?\nAnswer: 140655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101 - -17. Let n = 17 - w. Is -101 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 9*o**2 + 6*o - 1. Does 5 divide i(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4819454, -9638912, -14458370?\nAnswer: -19277828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 306 = -21*s. What is the least common multiple of s and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -952 - 38?\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 36. Suppose 2*i + 7*f = 3*f, 0 = -5*i - 5*f + 15. Suppose i*b - 5*b = x. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -350*a*d**2 - 13*a*d - a - 1188*d**2 wrt a.\nAnswer: -350*d**2 - 13*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -5, -10, 5 in ascending order.\nAnswer: -12, -10, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 860, -4, -377, 6, -1 in ascending order.\nAnswer: -377, -4, -1, 6, 860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 14. Let k = 9 - o. Which is the nearest to k? (a) 2\/9 (b) 3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00069803426039 - 2?\nAnswer: -2.00069803426039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, 5\/19, -1?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -17\/4, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + o + 6*o - 31. Let p be m(6). Suppose p*z - 24 = -4. Solve g = z*n + 1 + 4, 5*g - 2*n - 25 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*d + 107, 31 - 210 = 5*d + 4*j. Let p(l) = -14*l + 2. Let h(b) = -238*b + 35. Calculate d*p(v) + 2*h(v).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s**3 + 2*s**2 - 4*s. Suppose 2*c = 5*j + 16, -j + 0*j - 2 = 0. Is t(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 15 + 9. Let m(p) = p**2 + 8*p + 10. Calculate the lowest common multiple of 8 and m(w).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 11 - 15*f**3 - f**4 - 2 to v + j*f**3 + h*f + l*f**4 + m*f**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 40*z - 234. Let r be p(-9). Solve 20*v + r = -15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, w: 7, l: 1, z: 6, p: 3}. What is prob of sequence pwmz?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 5*t, 0*t + 3*t + 10 = 2*z. Suppose -3*h = -z*h - 3. Let a(s) = s - 4. What is a(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205, 442, 679, 916, 1153?\nAnswer: 1390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y - 55. Let p be o(-18). Solve 6*d + p - 5 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27902068 divided by 27902068.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 - (-90 - (-150 + 118)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181970*y**2 - 41*y**3 - 181970*y**2.\nAnswer: -41*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1784040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 h when four letters picked without replacement from jjjjjjjjjjjhhhjj.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**4\/36 - m**3\/27 - 8*m. Suppose i(z) = 0. Calculate z.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 675 by -15.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 484\/5*y + 92\/5*y**3 - 572\/5*y**2 + 0 - 4\/5*y**4.\nAnswer: -4*y*(y - 11)**2*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -281\/13 - -11\/39. Let u = -643\/30 - y. Let q = -0.2 - 0.3. Which is the nearest to 1? (a) u (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 40 = -5*h, -v - 12*h + 12 = -10*h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 302541 in 0.3, 4, -1\/9, -3\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91845751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1728 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 75 - 3 = 0. Solve 2*z = 4*u - o, -u - 21 = -0*u + 5*z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 23202420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {d: 1, f: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/762249447?\nAnswer: 1\/762249447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(84)*1 + -1*sqrt(84)*-4)\/(sqrt(84)\/(sqrt(28)\/sqrt(4))*-6))**2.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 4, -0.2, -2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 917.7612 minutes in seconds?\nAnswer: 55065.672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 x when four letters picked without replacement from xhxvphhxhmmxhhxh?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02242977 rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 1692 = -0*p + 3*o, 0 = -2*o + 8. Suppose 0 = 4*s + p - 96. Let v = -35 - s. Calculate the remainder when 49 is divided by v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -160 - -42. Let w = y - -167. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = p - 5. Suppose -2*v + 6*v - 2*a - 194 = 0, p*a = -3*v + 140. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000297587 to seven dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3206512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43846 times -23?\nAnswer: -10.08458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-84)*(-524130)\/14932. Let f = c + 1\/3733. What is the common denominator of f and (2*45\/(-24))\/1?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 + -5. Is 2\/(-9) + 7255\/g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/12*12\/10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 + 61*r**3 + 177*r**2 + 175*r + 58.\nAnswer: (r + 1)**3*(r + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + 5*(sqrt(77) - 1*sqrt(77)))*-1)\/(sqrt(11) + sqrt(176)*6 + 2*sqrt(1584)))**2 + -5.\nAnswer: -1714\/343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 39. Let j be 2\/y + 810\/(-48). Let v = 31 + j. What is the remainder when v is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - 12. Let h be (-167)\/d + 6\/21. Let s = h + -6. Which is the biggest value? (a) s (b) 0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from xdixydddddddy.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 5. Suppose -4*r + 9 = -0*g - g, z = -4*g + 12. Suppose x = r*x - 22. What is the remainder when 41 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 33 (c) -3 (d) 1\/98 (e) 5\/7 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 364*a**3 + 2*a**2 - 54*a**3 + 1458*a + 2*a**2 + a**2 + 627*a wrt a?\nAnswer: 1860*a + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -664*r**2 + 8*r + 41. Let q(l) = -1329*l**2 + 21*l + 95. What is 7*k(u) - 3*q(u)?\nAnswer: -661*u**2 - 7*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(8\/((-48)\/99)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -6)*(-1)\/(-2). Suppose -v*n + 5 = -1. Suppose 3*x - 15 + n = 0. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 15 = -17. Suppose -2 = -d + j. Calculate the greatest common factor of 270 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 952*a = 954*a - 137, 0 = -2*x + 27*a - 1772 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.6 + -0.6. Let q = -5 - -4.7. Let t = q - -0.2. What is the nearest to t in 1, s, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**6\/360 - c**5\/30 + c**4\/4 + c**3\/3 + c**2. Let l(z) be the first derivative of g(z). List the prime factors of l(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 19*m**2. Let x(h) = -6 - 7*h - 12 + 5 + 16. Determine a(x(z)).\nAnswer: 931*z**2 - 798*z + 171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 301 + -301. Let p = 2.3 - 0.3. Which is the nearest to -6\/11? (a) p (b) -2\/9 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*k = -5*q + 16, 4*q + 7 = 5*k. Solve q*u - 8 = 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o**5\/20 - 43*o**4\/12 - 218*o**3\/3 + 240*o**2 - 106*o - 2. Solve g(i) = 0 for i.\nAnswer: -24, -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6*h + 34 + 31 + 4*h - 98 + 34. Let q(t) = -3*t + 1. Calculate 5*k(i) - 3*q(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 26*i + 731. Let w be o(-17). Which is the closest to w? (a) -64 (b) -2\/37 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -103 in -4, 5, -1\/2, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77291 or 79475?\nAnswer: 79475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 138\/14 + 53\/371. Differentiate -l - 18 + 39 - 24 + 169*z wrt z.\nAnswer: 169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 479856, 479852, 479846, 479838, 479828, 479816?\nAnswer: 479802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 4*7\/28. Solve -2*a + 4 = -r - 3*r, 3*r = b*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-4*sqrt(4840) - sqrt(4840) - sqrt(4840))*1)\/((sqrt(968) + -4*sqrt(968))*1))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.063 - 80.5299.\nAnswer: -80.4669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 10*o**2 - 4*o + 8. What is x(-9)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 0, 9, -1\/5.\nAnswer: -1\/5, 0, 9, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npn when three letters picked without replacement from {p: 2, n: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209667 is divided by 1281.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-7*(-60)\/(-105))\/((-2)\/(-4))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x + 2*x)*(9 + x**2 + 11 - 9).\nAnswer: 2*x**3 + 22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -105*w - 1 + 1 + 103*w. Let r be z(-3). What is the third derivative of -3*u**2 + 9*u**2 + 3*u**r + 7*u**6 + 4*u**2 wrt u?\nAnswer: 1200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - r + 9. Let s = 0 - 0. Let l be ((-5)\/5 + 1)\/(4 - 3). Solve s = -l*p - r*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**8*u\/(u**13\/u) assuming u is positive.\nAnswer: u**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, v: 3, x: 2, l: 1}. Give prob of sequence vkx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146 and 67090358?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -17. Put -4, q, -3 in decreasing order.\nAnswer: q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -50*y**2 + 25*y - 145. Calculate m(5).\nAnswer: -1270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -225, -898, -2031, -3630, -5701, -8250, -11283, -14806?\nAnswer: -18825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-4*3\/(-30)). Suppose -5*z + q = 4*g, -z + 0*g = g - 5. Suppose -10 = -z*h + 50. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/205 in 1\/4, -10436.9, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -35 + 4fe?\nAnswer: 4c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4634 is divided by 87.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 21*t + 4. Suppose -59*r = 26 + 33. Let w(j) = -j - 1. Determine r*c(o) - 5*w(o).\nAnswer: -16*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, n: 1, b: 1, k: 2, q: 2, g: 1}. Give prob of sequence gke.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 6 (c) -115 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -657536, -657462, -657340, -657170, -656952?\nAnswer: -656686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13903, -55624, -125159, -222508, -347671, -500648, -681439?\n\"Answer: -13907*v**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13707648 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svlrselge. Give prob of sequence ve.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1647, 229, -2025, -5025, -8681, -12903?\nAnswer: -17601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 - 0.96. Let z = -44 + 43. Which is the nearest to d? (a) z (b) 0.2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.594 - -152.106. Let i = -153 + s. What is the closest to -0.5 in 0, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23983 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 95*o**8\/56 - 1891*o**5\/20 - 2*o**2 - 2*o + 32. Find the third derivative of g(h) wrt h.\nAnswer: 34200*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -26*z**5\/15 + 520*z**2. Let h(l) = -l. What is g(h(t))?\nAnswer: -104*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g + 3. Suppose -4*c + 21 = 3*b - c, 3*c = 5*b - 3. Suppose -m = -b*n + 4*n + 4, 8 = -2*m + 2*n. Let i(h) = h + 1. What is m*i(v) + z(v)?\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6432, 12641, 18852, 25065, 31280, 37497?\nAnswer: 43716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 755007, -0.1, 3, -2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, h: 10}. Give prob of picking 4 h.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**(1\/3)*o)**(-2))**(8\/5))**(6\/29) assuming o is positive.\nAnswer: o**(-64\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*k**3 + 141*k**3 - 2206175048*k + 2206175048*k.\nAnswer: 248*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41.00000035 - -41. Round k to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6*-6*(-3)\/18 and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -185, -295, -405, -515?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33396 is divided by 814.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**4\/12 + r**3\/2 + r**2 - 2*r. Let y(k) = k**2 + 1. Suppose -2*p - 15 = 3*p. Let j(f) = p*y(f) + g(f). Factor j(o).\nAnswer: -(o - 1)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.9 - 10. Let o = -1 - 1. Let y = 5 + -10. Which is the nearest to o? (a) -2\/5 (b) s (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v + 1 - 1)*(0*v - 4*v + 2*v) + 143*v**2 - 737*v**2 + 2735*v**2.\nAnswer: 2129*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51667 - -74297. Is 155 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, 5, -3, -305.2, 0.5 in decreasing order.\nAnswer: 5, 0.5, -0.9, -3, -305.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -2\/11, 4, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 4*w + 6. Let b = 26 - 25. Suppose -b = -r, -c = 4*r - 0*r - 7. Solve 5 - w = -c*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -686*n + 2746. Determine c(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by 228.\nAnswer: -27\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**8\/s)\/s)**(6\/5)*(s*(s\/((s**(-21)\/s)\/s*s))\/s)\/((s**17\/s)\/s) assuming s is positive.\nAnswer: s**(76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m + 3*m - m - 2*m - 2*m. Let p(i) = -4*i. Let h(u) = -3 + 3 + 2*u. Let x(y) = 5*h(y) + 2*p(y). Calculate v(x(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 + -63 + (-2 - (3 - (0 + 2)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -5*o + 10. Solve 2*a = s - 0*a - 9, 5*a = -o*s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -11*i + 5. Let q be 2*(-49)\/7 - 2*-1. Let o(u) = -28*u + 12. Let s(w) = q*x(w) + 5*o(w). Let p(b) = 3*b**2. What is s(p(m))?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {b: 2, g: 1, m: 3, i: 1, p: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 1, -48?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, 0 in decreasing order.\nAnswer: 7, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 508*j**2 - 40*j - 2. Let g(k) = -2*k**2 + 2*k. What is -20*g(r) - q(r)?\nAnswer: -468*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y**2 - 4*y**2 + 2*y**2)*(-4816*y + 0 + 4837*y - 3) to c + s*y + p*y**3 + d*y**2 and give p.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-14) - (-23)\/(-7). Let k = 9 + h. What is the units digit of 5\/1 - (-6)\/k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 27*u**3 + 8*u**2 - 13. Let s(z) = -13*z**3 - 4*z**2 + 6. Let g(o) = -13*s(o) - 6*w(o). Find the third derivative of g(m) wrt m.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -98 + 110. Suppose 0 = 2*l + 4*k - 22, f*l - 18 - 12 = -2*k. Calculate the remainder when 302 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 421790*o**4 - 16179*o**2 + 33*o wrt o?\nAnswer: 10122960*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 61\/4 of a gram?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 + 25*m**2 - 40*m - 60.\nAnswer: 5*(m - 2)*(m + 1)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -105, 1\/24, 1 in decreasing order.\nAnswer: 1, 1\/24, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8179504?\nAnswer: 2, 47, 73, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-11) + 24\/11. Suppose -21*d = -c - 18*d + 12, 4*d = -3*c - 3. Factor -5*i + 9*i**3 + 3*i**c - 15*i**f + 2*i + 9*i - 3*i**4.\nAnswer: -3*i*(i - 2)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 8 + 1 + (2 - 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 8*p + 44. Let v(c) = 2*c**3 - 4*c**2 + 4. Let i be v(3). Let k = i + -28. Let r be a(k). Put -3, r, 4, 5 in ascending order.\nAnswer: r, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 13) to base 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/22788 and -103\/28.\nAnswer: 159516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 75, 151, 227, 303?\n\"Answer: 76*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -283\/66 + 60\/11. Let f(q) = 5*q + 19. Let d be f(-4). Let w be -1*d*(-2 + 3). Is w smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -82 in 1\/57, 0.5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 40*w - 71. Let s be h(-38). Suppose -8*u + 2*j + 132 = -7*u, 0 = u - s*j - 135. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4 - 8. Find the second derivative of -3*b**j + 11*b - b**2 + b**2 - 7*b wrt b.\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46264\/105 + 3085\/7. Find the common denominator of -26\/525 and w.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(-6*sqrt(72)\/sqrt(6) + sqrt(12)).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28*d**4 - 10*d**2 - 5*d - 76245?\nAnswer: 112*d**3 - 20*d - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.158 - 0.378. What is the fourth smallest value in i, -0.4, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/17)*p**21*(p\/p**22)\/(p**(-2\/39)*p))**(1\/77) assuming p is positive.\nAnswer: p**(-668\/51051)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.63579 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 5*c + 149, 6272*c = 865*a + 6273*c + 66604 for a.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-1)\/4)\/((549\/1586)\/(-9))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*b - 6106 + 1906 = 7760 for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*d - 35 = 0, d + 0*d = 2*o - 55. Let p = -11 - -6. What is the units digit of (-48)\/p + 10\/o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128 - 136.4. Let t = -7.98 - q. Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7510907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-8 - -2) - (1 + 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 10:36 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 86*n + 6888.\nAnswer: -2*(n - 84)*(n + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/7 (b) -5 (c) 2\/9 (d) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -158 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4567 - ((-18)\/(-72) + (-34)\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 5:59 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3751.6 - -3752. Which is the third smallest value? (a) o (b) -1 (c) -2\/11 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 u when two letters picked without replacement from iflneuil.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9069\/10 + -906. Suppose -y - 2*x - 27 = -2*y, 2*x - 10 = 0. What is the common denominator of y and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h - 1. Let o(l) be the first derivative of -59*l**3\/3 - 17*l**2\/2 - l - 82. Let m(q) = o(q) - p(q). Find the second derivative of m(s) wrt s.\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 73*c - 1464. Determine r(20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) + sqrt(36) + sqrt(9))\/sqrt(3) + 5 + sqrt(30)\/(-1*sqrt(90) - sqrt(90)))**2.\nAnswer: 115*sqrt(3)\/3 + 829\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96668, -96626, -96510, -96284, -95912, -95358, -94586, -93560?\nAnswer: -92244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -11*q + 5. Let n be v(1). List the prime factors of n\/(-2) - (-162 - (2 - 6)).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451733 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1536) + -2*sqrt(1536))\/(sqrt(800)*1) + 3).\nAnswer: -18 + 24*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*c + 24. Is -12 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**4\/4 + r**2 - 2564*r. Let p(t) = 542*t**2. What is d(p(n))?\nAnswer: -3252*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -33*d + 1638. What is a(52)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*j - 145*j + 105 = 0. Suppose 0 = -22*c + 27*c - j. Solve 0 = 5*b - 8 - c, -4*r - 5*b + 27 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c + 8*c**3 + 11*c**3 - 25*c**3 as y*c**3 + s*c + j + v*c**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 1:00 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.7 + 7.7. Let m = -25.7 + 25.9. Which is the closest to -9? (a) f (b) -2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -885221*0.1\nAnswer: -88522.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 1 (c) -84755 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 51*c. Let h(a) = -7*a - 81 - 9 + 6*a - 24*a. Let k(y) = -y - 3. Let z(u) = -h(u) + 30*k(u). Calculate t(z(o)).\nAnswer: -255*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -469440116*c**3 + 229178682 with respect to c.\nAnswer: -1408320348*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -0.1442102, 2\/5, -1, -2 in increasing order.\nAnswer: -2, -1, -0.1442102, 0.03, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -33.16477*0.5\nAnswer: -16.582385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = k + 3*t, 5*k + 2 = t - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u - 2. Let q(x) = 746136*x. What is q(c(s))?\nAnswer: -2238408*s - 1492272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1323213 (c) 59 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24276 is divided by 8066.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 8:29 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -13\/5 (b) -0.5 (c) -2\/7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8868676 is divided by 2859?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 735387 - 735387 + 4*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(52) + sqrt(468) + sqrt(52)) + sqrt(52) + (sqrt(312)*1)\/sqrt(6))\/(1*sqrt(324)*5).\nAnswer: -8*sqrt(13)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -800 and 122588115759.\nAnswer: 122588114959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 3, -0.035, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2641.5 and -0.4.\nAnswer: 2641.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -4. Suppose -y*c + 2411 = -13*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32637368*c**2 + 6696878*c - 3 wrt c?\nAnswer: -65274736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/2 + 10995*n + 2233143\/2.\nAnswer: 3*(n + 103)*(n + 7227)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r = 10. Let j be (21 - 1)*(-5)\/r. Suppose -3*n = 2*n - j. What is the remainder when 7 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 * 226.\nAnswer: -3616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 6 - 3. Let g(s) = -s**3 + l + 8*s**2 - 2*s - 2*s**2 - 8. Let h be g(5). Solve -h = 4*n + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6*-3*1. Is (k - 36)\/((-8)\/28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.043*525.2\nAnswer: -22.5836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19651682 divided by -12.\nAnswer: -9825841\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 870\/580 - (0 - 1). Let c(x) be the second derivative of 0 + 0*x**4 + 15*x + 3\/5*x**5 + 0*x**2 + t*x**3. Find the second derivative of c(i) wrt i.\nAnswer: 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 10:22 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -506727, -1013091, -1519457, -2025825, -2532195, -3038567?\nAnswer: -3544941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3808*f**3 + 3*f**2 - 13*f + 18. Is 68 a factor of c(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.127217443 to 6 decimal places.\nAnswer: 0.127217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4 - -483)*1)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3203*c**2 + 15 - 9*c - 1618*c**2 - 1586*c**2 - 10*c. What is w(-19)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*h + 3*v - 9, -2*v = 3*h - 6. Suppose -6*s + 8 + 4 = h. What is the remainder when 33 is divided by (2 + s\/(-3))*(6 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (68 - 29) - (-1 + 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3630)*-1*-5)\/((3*2*sqrt(36))\/sqrt(6)).\nAnswer: 55*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000080882 to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/1*-2*(-10)\/12.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.9453 + 0.0547. Which is smaller: -1\/309 or p?\nAnswer: -1\/309","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 5*j - 12. Let r = j - 9. Suppose -5*v - i = -102, 5*v - 3*v = -4*i + 48. Solve -q = r*q + v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13805 + 13796. Let f(u) = -u**3 - 12*u**2 - 27*u - 3. Calculate f(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -8*c**2 - 41 + 2*c**3 - c + 41. Let i be s(9). Suppose 4*d - 7*d = -i. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*f**4 + 4\/5*f + 0 - 4*f**3 + 4\/5*f**2.\nAnswer: 4*f*(f - 1)**2*(3*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -41001879?\nAnswer: -41001877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4 = 9*z. Let q = z - -6. What is the highest common factor of 21 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c - 2*c)*(15 - 5*c - 4 + 3*c).\nAnswer: 2*c**2 - 11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 11*b - 6*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -949, -937, -921, -901, -877?\n\"Answer: 2*x**2 + 6*x - 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11906588 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -375, -437, -535, -663, -815, -985, -1167?\n\"Answer: c**3 - 24*c**2 + 3*c - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3004300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -7*d**2 + 749*d - 748. What is b(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 863055824 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + j + 12. Suppose -2*q - j = 5. Let n be q\/(-3)*9\/6. Solve 5 = v + 5*l - 3, n*l = -2*v + 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 78*s - 73*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -233 + 324. What is the smallest common multiple of r and 65?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -12.84. Let g = b + 0.9. Round g to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + x - 3*x)*(x + 0 + 1 + 0*x)*(1 + 0 + 0) as b + h*x + i*x**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-2*(sqrt(143) - -2*sqrt(143))*5)\/((2*((-2*sqrt(66) - sqrt(66) - sqrt(66)) + sqrt(66) - sqrt(66)))\/(-2*sqrt(6)*1)))**2*4.\nAnswer: 26325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96430, -96438, -96456, -96490, -96546?\nAnswer: -96630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4334921483 to the power of 1\/5, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173971 is divided by 3156?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -1\/7, 194\/3, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5142993.\nAnswer: 3, 17, 31, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4934*b*x**3 + b - 1074*x**2 wrt x.\nAnswer: 29604*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 12*q - 1. Let p be s(12). Let l(t) = 5*t**2 + t + 2. Let x be l(p). Suppose 161 = x*i + 5. Solve 5*k + 0*k + 3*z = i, 4*z = 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347166 to the power of 1\/2, to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159640120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 11:41 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44233 is divided by 343?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhcctkkcc. Give prob of sequence tc.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287580 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 110848841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - ((-3 - -9) + -2 + 4)) + -9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**4\/12 + p**2. Let v(w) = 2*w**2. Calculate v(g(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-92)\/12 - -13 - (-4)\/6 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312315558?\nAnswer: 2, 3, 29, 1283, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f - 8*f**4 + 11*f**2 - 19*f**2 + 2*f - f**3 + 10*f**2 to y*f + i*f**2 + q + g*f**3 + c*f**4 and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 6*x + 1. Suppose h + 5*k - 10 = 0, -h - 2*k + 4 + 3 = 0. Give m(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 16*n + 16\/3*n**2 + 75 - 52\/9*n**3 - 7\/3*n**4. Factor r(l).\nAnswer: -4*(l - 1)*(l + 2)*(7*l + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 10:18 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1677 - 1168. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 7:09 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 563444*i - 40*i**3 + 532989*i - 186433*i - i**4 + 130*i**3 - 29100*i**2 + 3000000 + 207*i**3 = 0.\nAnswer: -3, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5342 minus -0.0289?\nAnswer: -5341.9711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -55667 (base 8) in base 6?\nAnswer: -300411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4*i + 15, 18 = y - 3*i + 7. Let w be y*(2 + -3)*1. What is the greatest common factor of 2 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 54*p - 2. Let z(b) = 53*b - 1. Calculate 2*x(t) - 3*z(t).\nAnswer: -51*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**7\/42 + r**5\/10 + r**3 + 3*r - 10. What is the second derivative of c(b) wrt b?\nAnswer: -20*b**3 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 4257\/121 - (-20)\/(-110)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 34*k + 2. Let w be g(1). What is the derivative of w + 32 - 26 + 6*c**2 - 3*c**2 + c wrt c?\nAnswer: 6*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69181?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(2 - (1 + 0 + 2)). Suppose 3 = -3*b, -z = i*b - 6*b - 53. Let d = z + 121. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 18 = -2*o - 48, 5*i = -o + 97. What is the highest common factor of 15 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + q - q)*(100 - 44 - 58*q - 17).\nAnswer: -116*q**2 + 78*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 312113051?\nAnswer: 312113045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 853\/761153 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46709*p**3 - 61142 wrt p.\nAnswer: -140127*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-44)\/(-1) - (-2)\/7*-7. What is the highest common divisor of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 27*r - 24*r. Solve -3 + 13 = r*p, 0 = -2*g - 5*p + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26839 = -5*b + 2*o, -10741 = 111*b - 113*b - o. Does 91 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 - 1 + 5)*(-2*l**2 - l**2 + 0*l**2).\nAnswer: 78*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 24334 divided by 328\nAnswer: 12167\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 3 - (0 - -3). Let v be l\/(-3) + 124\/6. Let h = v - 18. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 126 - 81?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**5\/40 - k**3\/3 - 59*k**2\/2 + 39. Let t(n) be the third derivative of d(n). Let c(f) = 7*f**2. Give c(t(o)).\nAnswer: 63*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 33*w - 2. Let n(h) = -67*h + 5. Calculate 4*n(z) + 10*t(z).\nAnswer: 62*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n - 15. Let g be w(17). Calculate the highest common divisor of g and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - s - 16 = 0, -2*z - 303 = 5*s - 315. Let r = -6 - -11. Put -7, z, r in decreasing order.\nAnswer: r, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*c + 2*c. Solve c = v + u - 5, 2*v - 4*v - 8 = -4*u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187595?\nAnswer: 5, 17, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16161609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6678 and 3180.\nAnswer: 66780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3 + -1 + (22 - 20)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*o = 58, 0*o = 3*o - 12. What is the highest common factor of n and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115 - -852. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-12)*(-20)\/(-10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*q - 10 = -5, 0 = 3*i + q + 20. Which is the closest to 2\/3? (a) i (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqufuquqfzq. What is prob of picking 3 q?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 367130 by -7.\nAnswer: -367130\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188414 is divided by 62802.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 2\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -662650263 by 28810881.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*i**3 + 151 - 52*i - 17*i**3 + 34*i**3 - 199.\nAnswer: 4*(i - 4)*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3fc6 + 18e?\nAnswer: 4154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a day in minutes?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + g**3 - 3)*(-4*g + 4*g + g) + (-g**2 - 2*g**2 + 0*g**2)*(-4*g**2 + 12 - 12) + (g**3 - 5*g**3 + 5*g**3)*(-2*g + 3*g + 0*g).\nAnswer: 14*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 44.05221 decades?\nAnswer: 440.5221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 63*w = -406 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1036, 2615, 4184, 5749, 7316, 8891, 10480?\n\"Answer: l**3 - 11*l**2 + 1605*l - 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -369 + 1847\/5. Factor 0*z + 0 + c*z**2 + 1\/5*z**4 - 3\/5*z**3.\nAnswer: z**2*(z - 2)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3419*q**6 + 30*q**3 - 4*q**2 + 2*q + 68. Let n(o) = 6*o**3 + 1. Let t(i) = -j(i) + 5*n(i). Find the third derivative of t(g) wrt g.\nAnswer: -410280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*i = 30, -3*v - 5*i - 14 = -0*v. Let r(k) = k**3 - 3*k**2 - 4. Let u be r(4). Let n = u + v. Solve -n = -4*t + 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 4*v**2 + 6. Let q(s) be the third derivative of -s**6\/120 + s**5\/15 - 5*s**3\/6 - 118*s**2 + s. Determine -5*f(i) - 6*q(i).\nAnswer: i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11928*i + 11928*i + 315565*i**3 - 315563*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7604, -30230, -67942, -120740?\nAnswer: -188624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -35912*y**3\/3 - 47704*y**2\/9 + 4910*y\/3 - 100 = 0. What is y?\nAnswer: -2\/3, 15\/134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/294 and 50\/343.\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/81549306 and 9\/92.\nAnswer: 163098612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 11258549 and 11258547 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**3 - 2*k**2 + 13*k + 155. Let z(n) = 5*n**3 + 3*n**2 - 17*n - 154. Give 4*p(j) + 3*z(j).\nAnswer: -j**3 + j**2 + j + 158","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*g + 630*g + 727 + 1849 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 6, -415\/68, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18622)\/6)\/((-2757)\/9 + 5). Let t = c - -17\/226. What is the common denominator of t and -87\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 6*a**2 + a - 3. Let k be (-140)\/(-25) + 2\/5. Let n be d(k). Solve -n - 1 = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 4*k - 4 = 0, 3*p - 4*k + 59 = 47 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-36))\/((-215)\/129)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*i + 11. What is the remainder when 89 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**3 - 56*w**3 - 49*w**3 - 68*w**3.\nAnswer: -181*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1467423, 1467440, 1467457, 1467474, 1467491?\n\"Answer: 17*x + 1467406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -4*s - 532. Let i = -47 - s. Suppose -29 = -3*q + 2*m, 0 = 2*q - 6*q - 2*m + i. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1497 divided by 22?\nAnswer: 1497\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 84882 divided by -86?\nAnswer: -987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**2\/5 + 74*s\/5 - 72\/5 = 0?\nAnswer: 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/11)\/m)**(-2\/5))**6 assuming m is positive.\nAnswer: m**(144\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/6)\/(39270\/594 + -66).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 25, -4*v + 10*m - 12*m + 1118 = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + (-16)\/12*-3. Suppose 4*t + 1 = -3*m - 6, 4*m = -4*t - 4. Find the third derivative of 3*a**2 - a**3 - 5*a**m + o*a**3 wrt a.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, 4, -8, -24, -44, -68, -96?\n\"Answer: -2*u**2 - 2*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 47.4. Let i = -12.3999927 - n. Round i to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -r + 3*r. Let b = -9 + 11. Let v(f) = 3*f**r - 2*f**2 + f**b. Let n(a) = -2*a**2. What is v(n(j))?\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 + -58. What is the remainder when 64 is divided by (-2)\/(-8) + (-86)\/o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -6. Calculate the least common multiple of (5 + -2)\/((-3)\/a) and (-4)\/(-14) - (42\/(-798) - (-176)\/(-266)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a week in hours?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 604044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000211655899 rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 92058539, 184117076, 276175613, 368234150, 460292687, 552351224?\n\"Answer: 92058537*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40505 is divided by 13357?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*d = -40*d - 4*s - 71, -5*s + 10 = -3*d + 89 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 542.2166 millennia to decades.\nAnswer: 54221.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 7*c = 2*c - 80, a + 4*c - 11 = 0. Let v(f) = 7*f + a*f - 22*f + f**2. Let z(i) = -1 + 1 - 33*i. What is v(z(k))?\nAnswer: 1089*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((b*b**(1\/3)\/b)\/b))**(-24)\/(b\/(b\/(b\/b**(1\/9))*b)*(b**5*b)\/b))\/(b**(-5)\/b**6)**(-2) assuming b is positive.\nAnswer: b**(-818\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - 53. Let f = 10 + z. Solve -5*a + 5 = -5, -5*s - 29 = -f*a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**5 + 24*o**4 + 72*o**3 + 96*o**2 + 48*o = 0. What is o?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 3 (b) -2\/9 (c) -1\/3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -1 (c) 0.33 (d) -0.44 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -390 - -391. Solve v + 2*j + q = -4, -j + 15 = -3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -58921 (b) -3 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 240 - 24722\/103. Let x be (2\/6)\/(38\/(-114)). Which is smaller: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.32 - 2.694. Let n = o + 0.374. Is n <= 61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p - 3. Let d(r) = 22*r**2 - 4*r - 19. What is d(i) + 2*l(i)?\nAnswer: 22*i**2 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1087?\nAnswer: 4\/1087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 53 = -13. Let q = 37 - k. What is the highest common factor of 3 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 2*x**2. Let w(j) = -85*j**4 - 4*j**3 - 8*j**2 - j + 142. Let o(l) = -4*c(l) + w(l). Differentiate o(v) with respect to v.\nAnswer: -340*v**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -817 and 59.8394786.\nAnswer: -757.1605214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105\/31, -2, 2\/3 in increasing order.\nAnswer: -2, 2\/3, 105\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 10:08 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.19 (b) -245 (c) -15 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -52*p + 148. Calculate the remainder when r(-13) is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -4, -26, -815, -2 in descending order.\nAnswer: 1, 0, -2, -4, -26, -815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/1235402 and -31\/5530.\nAnswer: 6177010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/14)\/s*s**(5\/2)*s\/(s\/(s**10*s))*s*s\/(s**(-7)\/s))**16 assuming s is positive.\nAnswer: s**(2528\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 11:48 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 + 33*x + 96. Let u be o(-23). Let s = 397 - u. Solve 7*c = -s + 23 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*(-40)\/1800*10\/44.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 468644 and 308.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -178*r**3 + 6*r**2 + 4*r. Let z = -412 + 411. Does 20 divide u(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 19*t. Let a(l) be the second derivative of -7*l**4\/24 - 111*l**2\/2 + 7*l + 5. Let o(m) be the first derivative of a(m). Give o(q(k)).\nAnswer: -133*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*c**3*j**2 + 6*c**3*j + 61*c**3 - c**2 - 3*j**4 wrt j?\nAnswer: 6*c**3*j + 6*c**3 - 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - -0.7. Suppose 5*q + 5*z + 60 = 0, 5*q - 142 = 5*z - 52. Which is the fourth biggest value? (a) j (b) q (c) -4 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -365 - -370. Solve 0*z - 2*z = -m*h + 30, -3*z + h = 19 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 20. Let y(d) = 2*d**3 + 4. Let r be ((-2)\/(-2))\/((-6)\/(-18)). Let z(b) = -8 - 2 - 6*b**3 - 1 + b**r. What is t*z(g) + 11*y(g)?\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(484\/(-24)))\/(((-1406)\/6919)\/19)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 - -56. Calculate the remainder when 152 is divided by (-3)\/6*l + 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 116746378?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 403590612 a multiple of 653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1444212*f - 3*i + 22 = 1444214*f, 231 = 21*f + 3*i for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -8. Let j(b) = b**3 - 2*b**2 + b - 4. Let o be j(c). Let h = 44 - o. Does 18 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*p + 6*p - 298, 2*m - 3*p + 298 = 0. Let x = -1494 - -1745. Let k = x + m. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*i + 2*i - 385 = 0, 3*j = i + 373. Is 25 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -25620, -24370, -23120, -21870, -20620?\n\"Answer: 1250*g - 26870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17\/6 - 5\/2. Which is the smallest value? (a) 1 (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -69.\nAnswer: 20\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231101 (base 5) to base 14.\nAnswer: -3032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 39 = -2*p + 5*k, 6*p + 5*k = 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - u = -26, 0 = -0*r - 3*r - 3*u - 6. Which is the fourth biggest value? (a) -2\/11 (b) r (c) -10 (d) 1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -5. Suppose -5*j = f + 197. Put 3\/5, -2\/5, j in descending order.\nAnswer: 3\/5, -2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i - 5*i = 48 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r**2 - 51567*r. Let u(m) = 2*m. Determine u(q(v)).\nAnswer: -12*v**2 - 103134*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 2*w**2 + 3*w - 2. Suppose -4*x - 35 = -9*x. Let l = x - 5. What is q(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2)*((-26)\/20 - (-6486)\/(-4324))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -60*b**2 - 1379*b + 6. What is f(-23)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 70006 - 70006 - 40*l - 103*l**3 as t*l**3 + p*l**2 + c*l + j and give c.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*b = s - 20, 0 = -5*s - 2*b + 98. Calculate the remainder when 31 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 58*w - 1727. Give g(31).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10133 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1504*o + 4117. List the prime factors of l(12).\nAnswer: 5, 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 555.9516 centuries in millennia?\nAnswer: 55.59516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 2. Let i = 6 + -6.4. Let j = 2.38 - 0.38. Which is the closest to d? (a) -0.5 (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -801, -1587, -2373, -3159, -3945?\n\"Answer: -786*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2, 3*z - x - 22 = -2*z. Suppose -3*g = -0*g - 9. Suppose w + g*a + 30 = z*w, 0 = w - 5*a - 14. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**4 - 6*f**3 - f**2 + 15 + 9*f + 72 - 90 - 18*f**4 to the form v + x*f**4 + a*f**3 + l*f + s*f**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1041, -8320, -28081, -66564, -130009?\nAnswer: -224656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -7. What is the closest to i in 0.1, 3\/7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 + 93*h - 395. Give o(42).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/7)*d*d*(d\/(d*(d\/((d*d**(-2\/7))\/d))\/d))\/d)\/(d*d*d*(d*d\/(d\/d**(-3\/7)))\/d*d*d)**(-47) assuming d is positive.\nAnswer: d**215","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 11. Let l be v(-5). What are the prime factors of (-4)\/l + 474\/72*92?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1230849, -4923221, -11077151, -19692621, -30769613?\nAnswer: -44308109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*(0*t**2 - 2*t**5 + 0*t**2) - 7*t**5 + 2*t**2 - 2*t**2.\nAnswer: -3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6705*d - 179565*d + 14083*d.\nAnswer: -172187*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4702, 4880, 5128, 5446?\n\"Answer: 35*g**2 + 73*g + 4594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (65\/(-936)*8)\/(2\/(-18)). Put -0.19, -0.3, -2\/17, f in descending order.\nAnswer: f, -2\/17, -0.19, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 - -70. Sort -4, 4, z in ascending order.\nAnswer: -4, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2946, 5267, 9150, 14601, 21626?\n\"Answer: v**3 + 775*v**2 - 11*v + 2181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 186.2 (b) -0.3 (c) -4\/5 (d) -0.4 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (21\/(-18) - 1)*114\/(-19) and 751.\nAnswer: 9763","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 474991 a multiple of 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 21 = 6. Solve -s = -v*t, -2*t + 0*t = -s + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -7. Let q(r) = -55*r - 11. Let o(p) = -27*p - 5. Let t(d) = 9*o(d) - 4*q(d). Let v be t(g). What is v rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -9, -287, 8, -34.\nAnswer: -287, -34, -9, -4, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 greater than -9130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d\/(d**(-5\/4)\/d)*d*d))**(2\/13)\/(((d\/(d\/(d**(11\/5)\/d)*d)*d)\/d)\/(d\/(d\/d**(-3\/10)*d)*d*d)) assuming d is positive.\nAnswer: d**(-2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s + 23. Let f be j(-3). Let h be f\/2 - (-1114)\/2. Suppose -y - 5*c = -158, -2 = -4*y + 5*c + h. Calculate the highest common factor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143601, -287090, -430579, -574068, -717557?\nAnswer: -861046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.8. Let f = -1.1 + z. Which is the nearest to 1\/3? (a) 0 (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-635)\/(-3) - 2 - (-46)\/(-69) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*z + 26*z - 691*z**2 + 628*z**2 in the form o*z + r*z**2 + v and give r.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -5*h - 1 - 17, -3*k + 9 = -2*h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 0)*(-3 - d + 3) + (2*d + 0*d + d)*(1 + 2 - 5)*(1 - 3 + 1))*(-52*d + 105*d - 110*d).\nAnswer: -456*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*((4 + (sqrt(1300) - (sqrt(1300) + 1))*-4)**2 + 3) + 1.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 14*l**2 + 197*l - 447. Give w(22).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - p - 1, -5*p + 13 = 3*i - 22. Suppose -i = -h, 28 = k + 4*h - 5. Suppose -k*j = -17*j + 364. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -8*v + 104. Suppose -23*h = -v*h. Suppose -5*d = -h*d - 300. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*f - 3)*(-2 - 2*f + 2)*(39*f - 22 + 22)*(20 - 1 - 3) to m*f**2 + d*f**3 + u + q*f and give d.\nAnswer: 2496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04171 - -120979.04171. Let w = q - 120979.126202. Let i = w + 0.126. What is i rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 1. Let u be v(-1). Solve -y - 4*x = -20, -2*x = -2*y - u*x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 219. Suppose 10 = -y + 3*y. Suppose -4*f - y*c = -66, 2*f - 47*c = -48*c + 30. Calculate the highest common divisor of x and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17732, -44018, -78856, -122246, -174188?\n\"Answer: -4276*o**2 - 13458*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = 3*g - 29 - 42 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2 = -6. Suppose -2 = -d*q + 2. Suppose 2*m - 28 = -q*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a hour in seconds?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 20 = -2*w, -4*i = -9*i. What is the remainder when 276 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 4*u - 1036, 0 = 6*t - 8*t + u + 518. List the prime factors of t.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 9. Let m = -6 + 12. Let g = m + u. Sort -2, 2\/7, g in decreasing order.\nAnswer: g, 2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 153*y**2 + 5*y - 774. Give i(153).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3282935, -6565832, -9848729, -13131626?\n\"Answer: -3282897*c - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7434 and 688884.\nAnswer: 2066652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 8:21 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-1)\/f*f*f))**(-3)*(f**(-1\/4))**30*((f\/((f\/f**(6\/5))\/f)*f*f)\/f**(-4))**(2\/55) assuming f is positive.\nAnswer: f**(-5611\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1192 and 2384?\nAnswer: 2384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.96 and -11635566.\nAnswer: -11635560.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000193648 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-36)*3)\/(3\/18*176\/(-2508)).\nAnswer: 57\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4346.8 times -0.8?\nAnswer: -3477.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/58*-1*1\/3. Are 0 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -13*q - 408. Let i be s(-32). Solve -i*y = -3*y + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53*b**3*f**2 + 2*b**3*f + 65*b*f**2 wrt b.\nAnswer: -318*b*f**2 + 12*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 16825 - 16825 + 103*d - 43*d + 183*d as j + n*d and give n.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, i: 3, m: 4, r: 1, p: 2}. What is prob of picking 2 i?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 8 = -1871*c - 1870*c + 3739*c, 2*c - 3*o = 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127284?\nAnswer: 2, 3, 10607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.354576 + 0.055056. Let h = 19.3 + q. Round h to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 40 = 8. Suppose -3*g - 5*p - 8 = 0, -15 + 43 = 5*g - 2*p. Solve -g*q + 44 = 3*z + 12, -4*q + n = -2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 276 and 513?\nAnswer: 47196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 565470?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*v**2 + 749*a**2 + a*v + 230*v**2 wrt a.\nAnswer: -2*v**2 + 1498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*p - 12. Let x be 2\/7 - 5\/p. Suppose -7*t + 3*t - 1 = -5*w, -2*t - w + 3 = 0. Are x and t non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g + 41414 = 4*f, 0 = 3*g + 2*f - 41416. Suppose -40*l + g = -l. What is the remainder when l is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12627)\/437 + (-19 - -48)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*u**2 - 6*u**2 - 72 + 65 to x*u + p + d*u**2 and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*z + 114*z - 8*z**2 - 41*z**2 - 13*z**2.\nAnswer: -62*z**2 - 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t. Let a(z) be the third derivative of -11*z**5\/120 + 2*z**3\/3 + 16*z**2. Let x(u) be the first derivative of a(u). Calculate c(x(p)).\nAnswer: -33*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000743952 to 6 dps.\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-3))\/(42*8\/24)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v - 11 + 3*v + 9*v**2 + 18*v**2 - v**3 - 20*v**2. Let x be o(8). Suppose x*y - 5*l = 235, -3*y - 4*l = -4*y + 35. What are the prime factors of y?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5803 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/4)\/24)\/(1\/(18\/(-6)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3231321 (base 4) in base 3?\nAnswer: -202212220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3\/4 + 3416*k**2 - 47921029*k\/4 + 4223513253\/2 = 0. What is k?\nAnswer: 186, 6739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 z when three letters picked without replacement from iizzzjzzzizjzziiiizz?\nAnswer: 77\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009815208 to seven dps.\nAnswer: -0.0009815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, w: 4, p: 1, g: 1, f: 8}. What is prob of picking 1 w and 3 f?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j. Let r(n) be the first derivative of -n**4\/6 + 2*n + 2. Let y(f) be the first derivative of r(f). Give i(y(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of 1\/60*j**5 + 1\/4*j**4 + 0 + 0*j - 1\/2*j**3 + 6*j**2. Calculate f(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u - 19. Let x be z(-11). What is the remainder when 15 is divided by (18\/(-2))\/(x + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -5538990691.\nAnswer: -5538990691.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0397 - 20.7403. Round z to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**4 - 9*b + 9*b)*(-5 - 3 + 3) + 4*b**4 + b**4 - 3*b**4.\nAnswer: 27*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486 is divided by 82?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158111 is divided by 1738?\nAnswer: 1691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1.119, 4\/359, -4 in ascending order.\nAnswer: -4, 4\/359, 1.119, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2726447?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 5110, 5 in descending order.\nAnswer: 5110, 5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 59*b - 122. Let j be l(-22). Which is smaller: -456 or j?\nAnswer: -456","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c**2 - 7*c**2 - 14*c**2 - 6*c**2 + 44*c**2 - 6*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 6, z - 11 - 13 - 3 = f - 17 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -5. Let y = 5267 - 5263. Sort m, 5, y, 0.\nAnswer: 0, m, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**3 - 2301*r**2 - 4593*r - 2295 = 0.\nAnswer: -765, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63593*c*t + 1413522*c + 17*t**2 wrt t.\nAnswer: -63593*c + 34*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1636 by 131.\nAnswer: 1636\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and 2234525.\nAnswer: 2234531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 5996728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (87\/(-48) - -2)\/(31 + (-1625)\/52).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.576 and -14.\nAnswer: -8.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 14a3d1?\nAnswer: 14a3d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -28*u. Let v be y(-1). Let s be (-3)\/(-2) + v\/8. Let x(a) = 2*a - 7. Give x(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 8*h - 10. Determine s(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*u - 6 = -38, 4*u + 16 = 0. Let g(p) = -p**3 + 8*p**2 - 6*p - 8. Is 14 a factor of g(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 103 = -4*s - 2*j, 0 = 2*s - 5*j - 54. Let u = s + 140. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1963152 a multiple of 686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 285*m + 5695. Let k be y(-20). Which is the third smallest value? (a) 1 (b) k (c) -131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 19, -20, -2, -62, 2 in ascending order.\nAnswer: -62, -20, -2, 0, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4719*w - 149*w**2 + 3*w**2 - 4416*w - 18*w**2 + 9135*w.\nAnswer: -164*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**3 - 5*o**2 + 7*o + 3. Let w(j) = -5*j**3 + 6*j**2 - 8*j - 4. What is -4*m(t) - 3*w(t)?\nAnswer: -t**3 + 2*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-5) - (-3033609)\/5. Let o be s\/60 + 10\/15. Let v = -10122 + o. What is the common denominator of v and 71\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, n: 7, j: 2, q: 3, w: 4}. Give prob of picking 1 j and 1 q.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -155 + (-7 - -13) + -4 - (17 + 34 - 62)\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (-3)\/12)*4. Let z be (1\/k)\/((-1)\/(-5)). Suppose -z = n - 5. Is n at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 7. Determine k(8).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, n: 3, j: 6, s: 3}. Give prob of sequence ssnj.\nAnswer: 9\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-7)\/(-14)*4\/(-6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -43 and -0.087028.\nAnswer: -43.087028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 6)*((3 + q - 3)*(-2 + 1 - 1) + 3*q + 0*q + 2*q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 12, s: 3}. What is prob of picking 1 e and 3 s?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) 1 (c) 5 (d) 1\/9639 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 32*s. Let a(k) = -48*k. What is -5*a(l) - 8*r(l)?\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 41*f - 7. Let z be d(6). Suppose z = 4*k - 3*r - 26, 3*k - 177 = -5*r. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 74875 to the nearest 1000.\nAnswer: 75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**4\/78 - 16*i**2\/13 - 129*i. Let y(c) = 0. What is c?\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19191 + 75218. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 - -0.1. Let y = -115.755 - -116. Let l = d - y. What is l rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 96 = -r, -13*r + 5*w - 319 = -9*r. Let h = r - -259\/3. Which is the biggest value? (a) 18 (b) h (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -16*t + 30. Suppose d + 4*y + 19 = -5, t*d + 4 = 5*y. Let r(j) = -j**3 - 7*j**2 + 7*j - 8. Calculate r(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-2\/7)))**(1\/5))**(-34) assuming v is positive.\nAnswer: v**(-68\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3460563 divided by 384507.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/((-3)\/(-4)))\/((-1)\/6))\/(165120\/268320).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d**3 + 7*d**3 - 2*d**3 + (6*d**3 + 3*d**3 - 8*d**3)*(92 - 40 - 49) + (-4 + 4 - 2*d**3)*(5 - 5 + 3).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.51 (b) -3\/11 (c) -0.02 (d) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)*c*c*c)**(14\/11)\/(c*c**(2\/3)*c*c*c\/(c**(-9)\/c)))**19 assuming c is positive.\nAnswer: c**(-7600\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -252943, 18, -2 in decreasing order.\nAnswer: 18, -2, -252943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 24*w**2 + 27*w**2 - 9*w**2 + 19*w**2.\nAnswer: 61*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s**3 + 13*s**2 + 4*s - 12. Let f(a) = -8*a**3 - 13*a**2 - 5*a + 15. Calculate 4*f(u) + 5*i(u).\nAnswer: 3*u**3 + 13*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 61384.6 to the nearest one hundred.\nAnswer: 61400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.5, 0.1, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*r**3*z**2 + 20*r**2*z**2 + 692*z**2 + 1 with respect to r.\nAnswer: -120*r**2*z**2 + 40*r*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + (4 + -8 - -5) + 11 - (1 + -5)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 569.2 - 814. Let z = 166.9 + f. Let n = z + 77. Put n, 2\/21, 5 in increasing order.\nAnswer: n, 2\/21, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 20?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 2:37 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 430.0874 + -0.0874. Let d = 430.198998 - 0.142298. Let c = a - d. What is c rounded to 3 decimal places?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.50814 + -0.20814. What is the second smallest value in -0.6, k, 153?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14\/3 + 65\/12. Let f be (-75)\/(-6) + 3\/(-6). Let t = -12 + f. Are t and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5686 - 1008. List the prime factors of l.\nAnswer: 2, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.07 (b) -2\/49 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7*a - 26. Let z be (-1)\/(-2) + (-7)\/(-2). Let c be i(z). Suppose 3*f - 10759 = -c*p - 3*p, f - 2151 = -p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/(9\/(-315)*7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnoj when four letters picked without replacement from {n: 1, j: 1, m: 1, o: 3, i: 1}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**6\/120 - 7*n**5\/30 + 7*n**4\/12 + n**3\/3 - 28*n**2 - 1. Let f be h(-15). Calculate the highest common factor of 51 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -9 + (0 - -5) - (52 - 51)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1436 by -4.\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120575, -241031, -361487, -481943, -602399?\nAnswer: -722855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1509860\/220*(0 - -1).\nAnswer: 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*z = -2178 - 487 - 572 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 2*j + 2. Suppose -2*n - 2*x - 6 = 0, -4*n + x + 0*x = 12. Let l be q(n). What is the highest common factor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 13) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -630 divided by 90\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42361.\nAnswer: 11, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (4 - -1) - -1 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/17, -6\/73, -2\/7, -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c - 17. Let i(x) = -7*x + 33. Give 3*i(z) + 5*w(z).\nAnswer: -z + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m = 30*m + 55. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 + 4*c + 47. Let h be y(-6). Let d = -60 + h. Solve 5*b - d = 2*z, 3*b + z + 2*z = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m - 4*u - 600, -m + 300 = u. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4734.9, 2\/19, -0.9?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1671b4 (base 13) to base 5\nAnswer: 120331404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 114502212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*b - 9 = 0. Let o(v) = v**2 + 3*v + 2. Suppose -5*i + 0*i + 70 = 0. Calculate the least common multiple of o(b) and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*c - 3*k, 4*c - 11 = -5*k - 0*k. Sort c, -5, 8 in descending order.\nAnswer: 8, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 6 (b) 14 (c) 70 (d) 3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l - 15 = -10*l. Let g be ((-3)\/l)\/((-4)\/(-20)). Suppose -74*c = -139 - 83. Solve g*v = 2*u - 0*u - 21, -c*v - 18 = -u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-10))\/(-2)*130\/52.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26387 + 26387 - 7*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0072475851 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*y + 9*y - 273673. What are the prime factors of y?\nAnswer: 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -11*n**4\/8 + 2*n**3\/3 + n**2 - 16*n. Find the first derivative of o(f) wrt f.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06300113 - 0.063. What is t rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -138a1 (base 13) to base 5\nAnswer: -2133020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1cba77 (base 14) in base 7?\nAnswer: 11523010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (18 - ((12 - 8 - 21) + 19)) + -93\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**4\/12 + 876*m**2. Suppose 30 - 10 = 4*h. Let t(x) = -38*x + h*x + 0 + 0. Determine t(q(n)).\nAnswer: 66*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*x - 6 - 4 + 9)*(-4*x - x + 2 + 3*x) - 2*x**2 - 183 + x**2 + 219 to g*x**2 + j*x + k and give g.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 3 - 2 + 0 + 1 + 0 - 3 + 1 + 1 + 0 - 3 + (2 + 0 + 0)*(-1 + 4 - 2))*(-12*b + 2*b + b)*(b - 3*b**2 - b) as v*b**3 + h + s*b + d*b**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 (base 11) in base 5?\nAnswer: -2004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + h + 1. Let q be (2 - (-4 + 7))\/((-2)\/4). Let d(b) = -29*b**2 + 32*b**q + 8*b - 11*b - 3. Give 17*c(w) + 6*d(w).\nAnswer: w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -152 - 38*l - 87 + 11*l - 38*l - 3*l. Let h be m(16). Round h to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100 - -101?\nAnswer: 1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 356342341, 712684681, 1069027021, 1425369361?\n\"Answer: 356342340*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25339742?\nAnswer: 2, 193, 65647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.223*-37.7.\nAnswer: -8.4071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 6. Suppose 5*q - 172 + 27 = 0. Let l = 23 - q. Let u be f(l). Solve 0 = n - u - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2166870 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, p: 1, i: 4, f: 2, b: 3}. What is prob of sequence ipfb?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 8:20 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5628 and 36.\nAnswer: 16884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -18891750*r. Let w(a) = 2*a**2. Calculate w(s(x)).\nAnswer: 713796436125000*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1299*f**2 - 1263*f**2 + 2496*f**2.\nAnswer: -66*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8506 is divided by 709?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*q + 90, 5*q - 93 = -4*u + 15. Suppose 512400 = -q*t + 34*t. What is t rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*l**2*n**2*x**3 - 36*l**2*n*x**3 - 3*l*n**2*x**3 - 4*l*x**3 - 18*x**3 wrt l?\nAnswer: -40*n**2*x**3 - 72*n*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7112\/((-24)\/6))\/(-2).\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 3 + (-1)\/(-1). Let g = 13 + m. Let v = g - 7. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 + -52.9. Let u = 3.9 + g. Which is the smallest value? (a) 1\/3 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 5*l - 15, -3*l = 5*q + 2*l - 15. What is the first derivative of -3 + 2 - 3 + q*o**3 - 2*o**3 wrt o?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 + 25 = -12*x. Let d be 44\/x - (-42)\/105. Factor -4\/3*k + d*k**3 + 2*k**2 + 0.\nAnswer: 2*k*(k + 1)*(5*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a century in years?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3216 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557958 is divided by 278969?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y - 1 + 15. Let t be 89346\/(-36) - y\/12. Is t\/(-14) - (2 + (-72)\/42) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1035)\/165 - -5 - (-1 - 0)) + (-79497)\/1331.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -376*r - 342. What is the remainder when 1387 is divided by g(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -58200*u - 9253792. What is s(-159)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c - 16. Let l be w(-10). Let g = -47 - l. What is the tens digit of (-2 - g)*(-2 + (-3 - 82))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7435671 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 211745 to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 2*s - 4*b - 562, 4*b = -5*s + 1433. Is 14 a factor of 3\/(-4) - s\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(2\/9)*m\/m**(4\/7)*m\/(m**(-2\/15)*m)*m**(-2\/3) assuming m is positive.\nAnswer: m**(352\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**2\/2 + 18*o + 4. Let n be v(14). Suppose 3 - n = -j. Solve 0 = -2*y + 2*x - 2, j = -y - 2*x - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -69 (base 13) to base 2\nAnswer: -1010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-671616)\/(-66144))\/((-6)\/(-13)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 2695992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - x = x + 4, 5*x = -10. Let n be (r + 84)\/((-1)\/(-2)). Let u = -39 + n. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6)*s)**(-48)*(s*(s*s*s\/(s*s**1)*s)\/s*s)**(-2\/43))**26 assuming s is positive.\nAnswer: s**(268164\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 4 + -81 + 150 + -91.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 419865 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 21. Suppose 5*a - a = 3*c - 76, 3*a + 92 = 4*c. Let p = c - 15. Solve -s = -p*u + 3*r, 2*u + 3*r - 28 = -3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3632269388.\nAnswer: 2, 11, 23, 727, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.03, 3, -0.1, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 10 + 1\/3*f**4 + 72*f**2 - 3*f + 8*f**3. Find w, given that n(w) = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59 and 1711?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3457, 5, -1, 1695, 2.\nAnswer: -1, 2, 5, 1695, 3457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*v - 2502 = 1322 - 1088 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 0. Solve s = i - r, -3*i - 3*s = -0*i - 21 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 12949*p - 971137. What is q(75)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -430 + 681. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1 - -2) + 1)*2. Solve 20 = -2*f + r*t, 3*f = 7*t - 2*t - 27 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58075*p - 58073*p = 362. Solve p*o = 155*o + 156 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c. Let g(w) = 2*w + 15. Let h(b) = -9*b - 65. Let a(o) = 26*g(o) + 6*h(o). Determine -a(m) - 3*i(m).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 2*l - 5*m + 15458 - 15536 = 0, -6*l + 36 = -m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.16 - -0.48. Let a = 0.3199954 - v. What is a rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -12*z**2 + 6*z + 9. Let f(y) = 23*y**2 - 11*y - 17. Let r be (-12 - 0)*7\/(-21). Let x be (-3 - -4 - 0) + r. Let v(s) = x*m(s) + 3*f(s). Factor v(j).\nAnswer: 3*(j - 1)*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -14*x - 22, -2*d - 2*d = 4*x + 28 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 14 = -11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3*o + 2 + 3)*(-2*o + 3*o - 6*o) in the form f + l*o**2 + h*o and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/183 and -49\/33.\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvvsgsggvvvvvvvsvsv. Give prob of sequence vvgv.\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -13*u**5\/20 + 19*u**3\/6 + 3*u. Find the second derivative of s(r) wrt r.\nAnswer: -78*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 101001012111022?\nAnswer: -101001012111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2033 - 3*p + 5*p + 1018 + 1015.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i + 45. Give l(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, r: 7}. Give prob of sequence rroo.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*k + 17. Let s(i) = -i**3 - 5*i**2 + 8*i + 8. Calculate s(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*v**3 - 74*v**3 + 48*v**3)*(-4*v + 5*v + 0*v)*(2 + 2 - 2 + 3 - 3 + 2 + (3 - 2 - 3)*(1 - 4 + 4)).\nAnswer: 70*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 348 divided by 87\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.94, -4, 4, 12\/11, -6?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**14*w)\/w**(1\/8))**(17\/5) assuming w is positive.\nAnswer: w**(2023\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 12 - 1 - 666*w**2.\nAnswer: -666*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 332 + 87*w - 332 as a + m*w and give m.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 6*n + 2*n**2 - 5 - 9*n**2 - 4. Let x be s(-8). Suppose u + r = 2*u - x, -16 = 4*r. Solve -l + 4*h = 23, -u*l + l + h = 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.09, -155, -0.0214?\nAnswer: -0.0214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(2 - -2) - -5. Suppose 0 = f + 4*d - 0*d - 213, -5*f - g*d + 1095 = 0. Suppose 31 = -2*l + f. List the prime factors of l.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2585 and 976432050.\nAnswer: 2585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**5\/10 + 4*f**4\/9 + 4*f**3\/9 + 3*f**2\/2 - 8*f. Let c(g) be the first derivative of x(g). Factor c(b).\nAnswer: -2*(b - 2)*(9*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 4)*(4 - z - 4) + 25*z - 13 + 22 - 10.\nAnswer: 22*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - 4*j - 147 + 9*j)*(-4 + 1 + 5)*(-6 - 6 + 6).\nAnswer: -12*j + 1764","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 70289, 70292, 70295, 70298, 70301, 70304?\n\"Answer: 3*k + 70286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 443 - 455. What is the least common multiple of -2 - (12\/b)\/(2\/46) and 114?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 204*i - 5862. Calculate w(29).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, s: 3, z: 6, h: 2}. What is prob of sequence psp?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**4\/12 - n**3\/3 - 7*n. Let o(q) = q**2 + q + 3. Let m be o(0). Suppose 7*y - m = 4*y. What is k(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26126 is divided by 188.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637890 is divided by 6268.\nAnswer: 4822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, s: 2, e: 1, j: 6}. Give prob of sequence sjs.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*k + 26 = 89, 4*i - 60 = 4*k. Solve 32 = 4*w + i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**2 - 84*g + 5. Let m(z) = z**2 - 14*z. Let p(f) = -l(f) + 6*m(f). Determine p(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -305? (a) 0 (b) -75\/56 (c) 5\/3 (d) -0.049\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/333 and 15\/518.\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 1948154*p - 3896300.\nAnswer: -2*(p + 2)*(p + 974075)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 1:08 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 25, 9, 317 in decreasing order.\nAnswer: 317, 25, 9, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 22*l**2 - 13*l + 12. Suppose 11*w + w = 96. Let r be j(w). Let p = 1869 - r. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 5:59 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 650853.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1624568*b*m*q - b*m + b*q + 3*m*q + 1132*m - q - 78372 with respect to q.\nAnswer: 1624568*b*m + b + 3*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -42*(-1)\/(-90)*12\/(-7)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and 12769?\nAnswer: -127.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4116 and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29065438 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 11*b**2 - 7*b + 18. Suppose -2*r = -4, -10*w + r + 25 = -7*w. What is the units digit of z(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 8*x + 0*x**4 + 4*x**2 + 0*x**5 - 7\/30*x**6 + 0 + 0*x**3. Find the first derivative of q(g) wrt g.\nAnswer: -28*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 14 = z. Let b(x) = 9*x + 3. What is the remainder when 82 is divided by b(z)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44964 and 147?\nAnswer: 2203236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.0208 and -0.1?\nAnswer: 3.1208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4065914, 16263634, 36593168, 65054516?\n\"Answer: 4065907*k**2 - k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q**2 + 33*q - 131. Let c(w) = -11*w**2 - 68*w + 263. Let j(l) = -13*b(l) - 6*c(l). What is the units digit of j(26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 - 6*m + 9. Let f(j) = -j - 1 + 3 - 1. Let s(v) = 6*f(v) - r(v). What is the first derivative of s(t) wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 5 = -5*f + 5*m, -5*m - 14 = f. Let s(v) = 196*v - 17. Calculate the remainder when s(f) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 1. Let p(a) be the first derivative of 2\/9*a**3 + 0*a + i - 1\/3*a**2. Factor p(u).\nAnswer: 2*u*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*v - 5*u, 2*u - 7 + 23 = -2*v. Let x(o) = o**3 + 9*o**2 + 2*o - 22. List the prime factors of x(v).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**2 - 41*z + 19. Let l(c) = 6*c**2 - 61*c + 26. Let n(i) = -5*l(i) + 7*u(i). Let b(r) = 3*r**2 - 19*r - 4. Calculate -3*b(g) - 4*n(g).\nAnswer: -g**2 - 15*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 2*x**4 - 4 - 1349*x**3 + 1349*x**3 - 12*x**4 + (2*x - 1 + 1)*(-3 + x**3 + 3).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54525479 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, n: 1, o: 2, p: 1}. What is prob of picking 1 x and 2 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 10:14 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 < 1610\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 259818679 rounded to the nearest 100000?\nAnswer: 259800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/8)*z)**(-7\/3)*(z*z**(-10)*z)\/(z*z*z**(-2\/33)) assuming z is positive.\nAnswer: z**(-1157\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11328323?\nAnswer: 647, 17509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 11*f = 15. Suppose -18 = -z + f*s, 5*s = -3*z + 1 - 7. Differentiate 5*q + z + 6 - 5 wrt q.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -752415, -1504825, -2257235, -3009645, -3762055?\n\"Answer: -752410*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**4\/3 + 1120*n**3\/3 + 8860*n**2 - 1120*n\/3 - 26576\/3 = 0.\nAnswer: -22, -1, 1, 302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -48, 16, 3, -1 in decreasing order.\nAnswer: 16, 3, -1, -9, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(304) + -2*sqrt(304)) + 1)**2 + (sqrt(304)*-2 + -3 - (3 + 1*sqrt(304)))**2)*-5.\nAnswer: -51865 - 520*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 17*f + 10. What are the prime factors of s(-13)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -135, -144, -153, -162, -171?\n\"Answer: -9*j - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(20)\/sqrt(36) + 1.\nAnswer: sqrt(5)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 980717486?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/17043, -0.4, -16 in decreasing order.\nAnswer: -8\/17043, -0.4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -32392.862 and 0.321.\nAnswer: -32392.541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*h - 13 + 19*h**2 - 13*h - 44*h in the form p*h**2 + u + r*h and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-518 + 516)*(-1 - -8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxxg when four letters picked without replacement from gglxggxl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 1:39 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11233*f - 9488*f**2 - 11233*f + 9488*f**2 - 2*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/61? (a) 1978 (b) 16 (c) 2\/17 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**3*g**2 + 2114*a**3 - 42*a*g**2 wrt g.\nAnswer: 4*a**3*g - 84*a*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j = 95 + 92. Solve j = f + 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p - 5*r = -70, 0 = 2*r - 10. Let q be p\/2*16\/10. Let c = -9 + q. Solve c*n = -2*n + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69928 minus 2?\nAnswer: 69926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123.4 + 104.415. Let d = p - -19. What is d rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 1. Let h be j(-3). Let w be (4\/6)\/(h\/(-9)). Suppose -w = -x - 2. Let f(t) = 2*t + 1. Calculate f(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u - k = 37, -3*k = 2*u + 26 - 19 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 199 + -178. What is the remainder when m is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 60 = -4*o, 3*o + 0*f = -f + 49. Suppose 0*k = 6*k - 12. Solve 0 = k*c - 6 + o, 2*c = 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, -259, -4 in descending order.\nAnswer: 78, -4, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4459 and 2457?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10443*x**2 + 9*x**5 + x**4 - 153361*x**3 + 153408*x**3 - 4*x**5 wrt x.\nAnswer: 300*x**2 + 24*x + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 13. Let w = -21 + d. What is the biggest value in 2\/5, -29, w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -138 - ((-114)\/(-627) - 167\/11)?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.9 + -1.5. Let y be (0 + 1)*(5 + -130). Let n be 8\/((-280)\/y) + -4. What is the third biggest value in n, -0.4, g, -6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 527809134*q**2 + 223407237 wrt q.\nAnswer: 1055618268*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -31\/1538705 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -96*l + 87*l. Let c(r) be the third derivative of 0 + 0*r + 10*r**2 + 1\/30*r**5 - 1\/12*r**l - 2\/3*r**3. Suppose c(j) = 0. What is j?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9828 is divided by 604.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7 - ((-2520350)\/5)\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -120*m**3 - 143*m**2 wrt m.\nAnswer: -720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65.4 - 555.6. Let q = -620.9385 - d. What is q rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 154 - 142. Let j be 14\/4 - (-6)\/g. Solve -2*c + 2*q + 8 = 0, 0 = 5*c - j*q - 15 - 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 187382, 187380, 187378, 187376, 187374?\n\"Answer: -2*c + 187384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20427?\nAnswer: 3, 11, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 89*h + 24)*(28 - 4*h - 29 + h).\nAnswer: -267*h**2 - 89*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/14 + (-138)\/(-7). Suppose 3*m - 113 = 8*b - 3*b, -5*m + 4*b = -197. Let q = m - y. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2. Let g(o) = 167*o**2 + 47*o. Let y(l) = -g(l) - 3*m(l). Find the second derivative of y(u) wrt u.\nAnswer: -328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/18 smaller than 790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 29 (b) -5 (c) 14 (d) 1\/110 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - -147. Let d = 94 - o. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**5\/60 - 5*t**3\/6 + t**2. Let a be m(0). Let u = 80 - a. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39.54 + -40.54. Which is the nearest to 0? (a) t (b) -2\/9 (c) 0.3 (d) 74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-9\/4)*o\/(o**(-4\/9)*o) assuming o is positive.\nAnswer: o**(-65\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 - -561. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, k: 5, u: 3}. Give prob of picking 3 k.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 2:19 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2120 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -535557.968 * 3.\nAnswer: -1606673.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 107*j**7\/1995 + 16*j**6\/57 - j**5\/190 - 14*j**2 + 182*j. Factor k(z).\nAnswer: 2*z**2*(z + 3)*(107*z - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 520806*r**2. Let b(h) = 16*h. What is b(z(x))?\nAnswer: 8332896*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 3*m**2 - 2*m - 4. Suppose -5*s - 4 - 6 = 0. Let p be (-2 + (-21)\/(-6))*s. Is f(p) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9034, 18069, 27106, 36145, 45186?\nAnswer: 54229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 783886 (base 9) to base 10.\nAnswer: 468744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-39))\/(38\/6)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(150) - sqrt(6)) + -4 + sqrt(17) + -1.\nAnswer: -5 + 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*q = 108*q - 2*f + 38803, 5*f = 4*q - 31016. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -294643, 0.5, -2\/37?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c + 9*c - 7*c + (3 + 56 + 75)*(1 + c - 1).\nAnswer: 130*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 125034431 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 + 3*x - 3. Let p(h) be the third derivative of -h**5\/30 + h**4\/6 - 2*h**3\/3 + h**2. Calculate -4*g(s) + 3*p(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 10:10 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 867 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 8*h**3 - 78*h**2 - 215*h - 32. Determine r(12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 - 1090*u**3 + 7460*u**2 - 15870*u + 9495.\nAnswer: 5*(u - 211)*(u - 3)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.349874 microseconds?\nAnswer: 0.000349874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 5*v - 2. Let z be (25 - 24)*(1 - -4). Give g(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 8*i - 1. Let w be d(7). Let m = w - -8. What is the units digit of (-2 - 0 - -22) + m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.143 minus 1013564893390?\nAnswer: -1013564893389.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 1:48 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48 + 47 - 5*m**3 - 3*m**3 + m**2 - 94 to the form y*m**2 + o*m**3 + q + f*m and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1713958*j**2 + 2254262?\nAnswer: 3427916*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13410.01269 rounded to the nearest 100?\nAnswer: 13400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 414214.2ml?\nAnswer: 414.2142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 9*h - 7. Let u be c(-10). Suppose 3*f + 0 - 1 = -z, -u = -3*f - 3*z. Suppose 4*v + 0*v - 48 = f. Solve -4*w = -0*w + v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(((-10)\/(-15))\/(25\/75)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4 = -s. Suppose 9 = -3*a, 29*a - 34*a = -o + 59. What is the least common multiple of o and s?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/70 and 47\/37674.\nAnswer: 188370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*z - 10. Suppose -2*c = -z*c + 15. Suppose 4*j + 0*l + 28 = 4*l, -3*j - 23 = -4*l. Put c, -4, j in ascending order.\nAnswer: j, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1412 - -1546. Calculate the remainder when q is divided by 133.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13096421.06 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-112)*((-2)\/3)\/(4\/(-6))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 93*l**2 + 5*l. Let k(z) = 225*z. What is k(f(q))?\nAnswer: 20925*q**2 + 1125*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -6. Let d(g) = -u + g**3 + 4*g + 0 + 5*g**2 + g**2. Let h be (-1 - (-3 + 0)) + -7. Give d(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130682 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/(-8) + (-1)\/2. Let c = t + 14. What is the highest common factor of c and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -701*c**3 - c**2 - c + 1. Let o be x(-1). Calculate the greatest common divisor of 54 and o.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -2*k + 100*h - 97*h, -3*h - 56 = 5*k for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 11:43 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (0 + 7 - 3 - 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 0.48, 1 in descending order.\nAnswer: 5, 1, 0.48, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*l + 412*l + 11258 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 5*u - 3*u = 6, -13*n + 2*u - 3*u = -0*u - 31 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r + r)*(-2*r - r + 2*r) + (-53689 + 53689 + 111*r)*(-40*r + r + 5*r).\nAnswer: -3775*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*d - 6 = 0, -6*a = -3*a + 4*d + 30. Let j be a\/9 + (-1)\/((-6)\/(-26)). Put -3, -4, 1, j in descending order.\nAnswer: 1, -3, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-248128)\/(-56) - 2\/(-14). Is (n\/(-6))\/(-7)*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**5\/35 - 3*h**4\/28 - 9*h**3\/7 + 135*h**2\/14 - 162*h\/7 + 78. Factor m(o).\nAnswer: (o - 3)**3*(o + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 3)\/(-1) + -2. Suppose -2 = 2*u - 14. Suppose 3*y - 12 = u*y. Sort j, y, 1 in descending order.\nAnswer: 1, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*v - 2595 - 3520 = 1895 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -3 + 0*l**2 + 0*l - l**3 - 1\/4*l**4. What is the third derivative of u(h) wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 0, -2, -6, -11, 144 in descending order.\nAnswer: 144, 3, 0, -2, -4, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-18)\/142) - (-148)\/(-111).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 633.864um to centimeters.\nAnswer: 0.0633864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 31829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (261\/(-12))\/(21\/644*23)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 11. Let k be b(-6). Let n = -950.391 + 950. Let d = n + 0.391. Sort d, k, -2 in ascending order.\nAnswer: -2, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 9759 = 9771, 2*l = -2*k + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 259115537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/420045 and 52\/112695?\nAnswer: 4620495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4312*v - 2560*v - 9636*v - 6407*v in the form i + d*v and give d.\nAnswer: -14291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -270366187*s**2 - 108497757?\nAnswer: -540732374*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000060692286 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 225835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000469 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 178, 85, 36, 37, 94, 213, 400?\n\"Answer: x**3 + 16*x**2 - 148*x + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a**2 + 2*a + 4. Let q be t(-5). Suppose -5*f = 5*b - 95, -5 + 4 = -f. Calculate the highest common factor of q and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -11*q**2\/2 + 6*q - 10. Let z(h) = -h**3 + 2*h**2 - h - 2. Let g be z(2). List the prime factors of d(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1541, -1586, -1647, -1730, -1841, -1986?\n\"Answer: -n**3 - 2*n**2 - 32*n - 1506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24001557.\nAnswer: 3, 8000519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -141251 (base 10) in base 16?\nAnswer: -227c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 15. Let k be y(-8). Calculate the greatest common factor of 91 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -178065545 - -48.466\nAnswer: -178065496.534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79*w**5*z**2 + w**5 - w**3 + w**2*z**2 + 82*w**2 wrt w.\nAnswer: 4740*w**2*z**2 + 60*w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6372 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s**2. Let c(w) = -105*w + 30*w + 36*w + 38*w. Calculate i(c(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94.92 - -41.08. Which is the nearest to r? (a) -5 (b) -0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/30*558\/16. Let y = 19\/2 + x. What is the smallest value in y, -3\/5, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/473 + 710\/27907. Let x = -169\/236 - i. Do x and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -12*l**2 - 5. Let o(q) = 13*q**2 + 6. Let u be 2\/(-3) - (-65)\/(-15). Give u*o(k) - 6*d(k).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11366 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-10))\/((-10)\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 15. Let v be c(13). Differentiate 71 - 91*k**4 + 8*k**3 + 102*k**4 - v*k**3 with respect to k.\nAnswer: 44*k**3 - 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**7\/1260 - j**5\/180 - j**3 + 3. Let u(w) be the third derivative of d(w). Let u(a) = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015036 rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(110)*-4 - sqrt(110)))\/(sqrt(10) + sqrt(250)*1 + sqrt(250)).\nAnswer: -30*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-3)*(-288784851)\/(-2776) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*i + 4*x + 12, 5*x = 2*i - 12. Is i*-3*(-4 + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 w when three letters picked without replacement from wmwmarrwmr.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8869.44 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2520884?\nAnswer: 2, 37, 17033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 3*z**2 + 7*z + 1. Suppose -11*c + 6*c - 21 = d, d - 9 = c. Give a(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3860 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 s when two letters picked without replacement from vuusuuuuvus.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001108809234 rounded to 6 decimal places?\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 17157, -3\/32 in decreasing order.\nAnswer: 17157, 3, 2, -3\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 o when three letters picked without replacement from {g: 2, r: 1, m: 1, v: 3, o: 4, z: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -8*j**3 + j**2 - j + 1. Let g be 6\/(-21) + (-16)\/(-7). Suppose -2*t = 2*p + 4, -5*p + 0*p = g*t + 1. Determine s(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7\/2 + 3. Which is the closest to -2? (a) 1\/2 (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 203031062.10000024 + -203031054. Let d = -8.1 + y. What is d rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((0 - 7) + (17 - 13))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b**3 - 14*b**2 + 112*b + 429. Give x(-6).\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12121112 (base 3) to base 12.\nAnswer: 244b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -50\/1109 (b) 0.2 (c) -3\/4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13886428 to the power of 1\/2, to the nearest integer?\nAnswer: 3726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -583113, -1166230, -1749349, -2332470?\n\"Answer: -c**2 - 583114*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*a - 9, 2*a + 31 = 5*a + 2*f. Suppose -q = -0*q - a. Let d = 4 - 0. What is the remainder when q is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.27 and -72.\nAnswer: -71.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2752 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 0.0487, 5, -10383, 2\/23?\nAnswer: 0.0487","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1182557, -2365074, -3547551, -4729988?\nAnswer: -5912385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11136 and 394284.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1298)\/(-10) - (-3)\/((-120)\/32). Let w = y + -66. What is the highest common divisor of w and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 7*z**2 + z. Let w(j) = -3*j**3 + 21*j**2 + 2*j + 1. Let n(c) = 11*s(c) - 4*w(c). Let l be n(7). Solve y + l = -5*x + 2*y, x = y - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 11*q - 9. Let m be c(-13). Let v = m - 23. What are the prime factors of (-664)\/v + 1\/3 + -1?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(4)\/sqrt(2) - (sqrt(8)\/sqrt(4)*6)**2.\nAnswer: -72 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534*p + 263*p + 269*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*l**3 + 26 + 3*l**2 - 99*l**3 + 192*l**3 in the form s*l + f*l**2 + j*l**3 + x and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 61, 235, 519, 907, 1393?\n\"Answer: -m**3 + 61*m**2 - 2*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -83182 (base 11) in base 2?\nAnswer: -11101100111110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2115477?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -2*q + 6*j - 5*j + 70, 4*j - 39 = -5*q + 65 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -202450547504 + 30867432527686676\/152469. Let i = f + -1\/16941. What is the common denominator of i and -68\/279?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298 + 298 + 3898*p + 10045*p.\nAnswer: 13943*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -144143 less than -144147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbjbhbbbj. What is prob of picking 1 h and 2 b?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -113*w**3 + 2*w**2 + 5*w.\nAnswer: -678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 10:55 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -160.5 + 73.5. Let g = -87.14 - s. Which is the nearest to -2\/3? (a) 4 (b) -3\/7 (c) g (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 3:37 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 5*18\/45 - 18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 1. Let n(a) = a**3 - 6*a**2 - 6*a + 2. Let j(t) = n(t) + 5*w(t). Is j(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3.55, -1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 + 4*i**2 - 3 - 4*i**2 + i**4 to p*i**2 + o*i**3 + m + r*i + v*i**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2. Let i(c) = 7*c - 11*c + 13*c. Give p(i(a)).\nAnswer: -81*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*70\/150*-10)\/(2\/(-6))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*l - 16424398 + 16423378 for l.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -2*z - 8, z - 2*w = 6 + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*q = 168*q + 5*f - 19, -q - 8 = -f for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89 - -97. Let h = -8 + o. What is the third smallest value in -3, 0.5, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18594)\/(-4132))\/((-9)\/(-88))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u - 5*u + 4*u)*(-2 + 2 - 2)*(-21*u**3 + 15*u**4 + 21*u**3).\nAnswer: -210*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*a = -615, 5*g + 120 - 745 = a. Suppose 55*o - g = 49*o. Solve 2*l = -5*x - o, 0 = -5*x + l + l - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.8, -22, 179 in decreasing order.\nAnswer: 179, 0.8, 1\/3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6505?\nAnswer: 5, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 2\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 683579279?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9316 or -10144?\nAnswer: -9316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 18458.894 to the nearest 10.\nAnswer: 18460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*b = 141*b + 99872. What is the third derivative of 85*d**3 + 190*d**2 - b + 12484 wrt d?\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/28 and 45\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1412 + 1412. Let n(v) be the second derivative of -4\/15*v**6 + 1\/4*v**4 - v + 0*v**5 + r*v**2 + 0 + 0*v**3. Find the third derivative of n(u) wrt u.\nAnswer: -192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/84 - 1\/(-4). Let d = -45119\/7021 - -338\/59. Let b = -7\/17 - d. What is the nearest to r in b, 0.3, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o - 33 = -371. Let a be o - 0 - (9 + -9)\/(-10). Sort -4, 5, a in decreasing order.\nAnswer: a, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 + 2*z**2 - z. Let k be n(1). Let q be 9*(-2)\/(-3) - k. Suppose -d = 3*h + 11 - 46, -q*h + 81 = 3*d. List the prime factors of d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d + 3*d + 2 - 102*d**2 - 208*d**2 + 119*d**2 in the form j*d + h*d**2 + c and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 + 98. Suppose -f*a = -16*a - 3222. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 9*f - 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 20 = 8*w. Suppose -1188 = 3*g - x + 4*x, -g + 5*x - 372 = 0. Calculate the lowest common multiple of (0 - -1)\/(5 + 1953\/g) and w.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dlldld. Give prob of sequence dddl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + -5.8. Let y = -105.162 - 0.438. Let r = y + 105.4. Which is the nearest to 0? (a) r (b) v (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*z + 3*z + 7*z + (-3*z - z + 6*z)*(5 - 2 - 4) + 6 - 6 + 3*z.\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/13*728156\/61104.\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -2*s**3\/39 + 2602*s**2\/13 - 3385202*s\/13 - 5864. Factor a(w).\nAnswer: -2*(w - 1301)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -3 + 3\/2*n**2 - 7*n. Let w(c) = -2*c**2. What is m(w(d))?\nAnswer: -6*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 7 = -h, 2*h + 2 = -4. Does 14 divide 1 - (-41 + (-8)\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51018\/7 - 7282. Let i be -5*(-3 + 54\/10). Calculate the common denominator of ((-3)\/i)\/((-3)\/(-164)) and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-348)\/(-4669))\/((-24)\/42))\/((-3)\/4)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 2*l + 55 = 0. Which is smaller: 9 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-63) - 11\/9. Which is bigger: g or -3\/19?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1027305 and 2997.\nAnswer: 9245745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246712?\nAnswer: 2, 30839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -55620 to the nearest 1000.\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203308?\nAnswer: 2, 7, 53, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470567 less than 1470563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 547 and -1.47.\nAnswer: -804.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 253234126 to the power of 1\/3, to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -6 + 82. Calculate the remainder when b is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = 119*i + 114. Let d(s) be the third derivative of 1\/4*s**4 + 3\/2*s**3 + 1\/60*s**5 - 26*s**i + 0 + 0*s. Factor d(n).\nAnswer: (n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.542*-0.75\nAnswer: 0.4065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 8. Calculate the smallest common multiple of 21 and q.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 59*x + 56*x - 123*x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**4\/4 - m**2\/2 - m. Let f(l) = 2*l + 35 - 11*l + 11*l - 35. Give f(b(p)).\nAnswer: -6*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4049, 4046, 4043, 4040?\n\"Answer: -3*x + 4052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzjzzrr. What is prob of picking 2 z and 1 j?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p - 100. Let f be r(35). Suppose -2*j - 5 = -f*v, 1 = 5*j - 4*v + 5. Determine a so that 2\/3*a**3 + j + 4\/3*a**2 + 0*a = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*n + 9*n**4 + 12*n**4 - 2*n**4 + 1 - 21*n**4 + 4*n**3 + 2*n**2 + 4*n**4 to z*n**2 + a*n + r*n**4 + w*n**3 + q and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 7) + -5 - -4 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t. Suppose 0 = -5*r + 2*r + 48. What is the least common multiple of j(-4) and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680247 is divided by 203.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17989 + 193411 = 3*x + 4*w, -3*w + 58459 = x. List the prime factors of x.\nAnswer: 2, 29243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*d + 49 - 9 + 0*d + 24*d + d**2 + 2*d as r + l*d**2 + y*d and give r.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 43*m**3 - 5*m**2 + 5*m - 18. Let o(n) = -21*n**3 + 2*n**2 - 2*n + 9. Let j(d) = -5*o(d) - 2*y(d). What is the first derivative of j(f) wrt f?\nAnswer: 57*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -458, -353, -216, -47, 154?\n\"Answer: 16*p**2 + 57*p - 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 14*f - 2 - 5*f)*(0 - 2 + 1).\nAnswer: -9*f - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 363452679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 2*l. Let j be (0 + l)\/(-1 + -1). Suppose -2*r - 2*r = -3*g - 12, 3*r = -4*g + 9. Is j less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -5*((-2)\/5)\/((-17)\/(-88655))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 67*f + 81. Determine k(48).\nAnswer: 993","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 325 - 310. Let q(o) = 573*o - 32. Is q(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p - p + 4*p + (1 + 2 - 5)*(1 + 2*p - 1) - 6*p - 51 + 59 + 3*p.\nAnswer: -6*p + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b + 1. Let p(u) = 21*u + 2. What is l(p(s))?\nAnswer: 168*s + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 9 = -14*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -470 + 473. Solve -21*x - 22*x - 772*x**2 + 4*x + 736*x**2 + 3*x**c = 0.\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 660 and 248100?\nAnswer: 2729100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1917*n**3 + 1501?\nAnswer: 5751*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8177 - -8123.29. Let y = o + 54. Let c = y - 0.22. Which is greater: c or -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -422 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(4320) + sqrt(30))\/(sqrt(50)\/(2*sqrt(5))).\nAnswer: -70*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -245.97 + 3.97. Let d = 241.999853 + s. Round d to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**2*y - 3*a**2 + 3*a*y - 9720*a + 658038*y wrt a?\nAnswer: 2*a*y - 6*a + 3*y - 9720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 11*f - 12. Let l be (28\/3)\/7 + (-4)\/(-6). Let r(v) = 12*v - 7 - 6 + 123*v**l - 62*v**2 - 60*v**2. Let q(k) = -5*r(k) + 6*w(k). What is q(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43.717 - -54364.\nAnswer: 54407.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 5*f**2 - 5*f - 6. Let h be (-19)\/((-171)\/56) + 4\/(-18). What is v(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 9:04 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 310 = 18*h, -3794*i + 3797*i + 29 = -h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2221 + 2220.3735. What is g rounded to two decimal places?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18025*q**4 - 30*q**3 - 14*q**2 + 35642701*q wrt q.\nAnswer: -216300*q**2 - 180*q - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1834*x**6 + 34*x**2 + 10 wrt x.\nAnswer: 220080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from sjjsjjsffjjfjjjfsjjj?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**12*w)\/w**14)**(-18\/5))**(-3) assuming w is positive.\nAnswer: w**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 5*y**4\/2 - 35*y**3 + 345*y**2\/2 - 350*y + 250 = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25574 or -2\/25?\nAnswer: 25574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 35*z - 32. List the prime factors of w(29).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o - o + 0*o + (-2*o + 2*o - 6*o)*(0 - 2 + 4) - 3*o + 0*o - 2*o.\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9130 and 1617836?\nAnswer: 1826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 5 (b) -4\/5 (c) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*s**2 + 74*s + 855?\nAnswer: -6*s + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/38114 and -73\/595?\nAnswer: 1333990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -34 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 - 10*q**2 - 33*q - 70. What is k(-5)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.3, 2\/7, -0.2, 274?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from zznwzzkzzwzzzzz.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -118, -180, -244, -310, -378?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 370*g**2 - 3*g - 3. Suppose 0 = 3*t - 4*s - 9, 5*t - t + 1 = s. Let v be b(t). Let y = v - 190. What is the highest common divisor of 20 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**2 - 1315998*u + 144320894667 = 0.\nAnswer: 219333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 - u**3 - 3*u**3 + 3*u**3 in the form m*u + z*u**2 + h*u**3 + f and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 = 3*b + v - 277, b - 4*v - 9 = 0. Solve 3*i + 2 = -5*a + 4*i, b = 4*a - 3*i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 + 0)\/((-519)\/173). What is the biggest value in -0.2, s, -0.69?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420*n + 348*n + 4536 = 0. Calculate the remainder when 507 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -42.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 6*j - 52. Suppose 6*o = 17 + j. Find the third derivative of -28*a**2 - a**o + 45*a**2 - 8*a**5 wrt a.\nAnswer: -540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -29, -51, -79?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-110)\/(-4)*44\/55. Suppose 0 = 2*j + 2*c + c + 5, j - 8 = 2*c. What is the highest common divisor of j and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1586893 divided by 6127.\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)*1 - sqrt(2)) + sqrt(18)*-1.\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -9 + 0 + 0 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfc. What is prob of sequence cc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*r, 5*c - 229 = r - 227 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -3 (b) 25 (c) 11 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 + -0.02. Let x = 2744 - 2744.01. What is the fourth smallest value in -1\/8, x, -0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i - 5*i - 108 = 25*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3811094 by 112091.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/192*-4)\/((-2)\/(-12)*-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-79467 - -5) + -6*(-9)\/(-27) + -6. Round v to the nearest 1000.\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from eeeeeeeeeehhehe?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13293 + -13281.441. Let x = t + 0.441. Sort x, -4, -1\/4, 0.05.\nAnswer: -4, -1\/4, 0.05, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -9*l**4 + 4*l**4 - 5 - l**2 + 6*l**4. Find the second derivative of o(x) wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2781870.00073 + -2781935. Let x = -32 + -33. Let t = x - l. Round t to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-77)*27216\/1728.\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 5*i + 70 = 0, 3*i = -m - 5*i + 6 - 2 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439302?\nAnswer: 2, 3, 211, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5\/4)\/(g**9*g)*(g**(-3\/10)*g)\/g*g\/(g**(-2\/5)\/g) assuming g is positive.\nAnswer: g**(-183\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*p + 164 + 23*p - 86)*(-3*p + 0*p + 2*p).\nAnswer: p**2 - 78*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/13)*f*f**2)\/((f*f\/(f*(f\/(f**(2\/15)\/f))\/f))\/f*f**(-3\/7)))**7 assuming f is positive.\nAnswer: f**(6178\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -773341374 divided by -2.\nAnswer: 386670687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129\/2 - 139\/6. Let w = a + -41. Factor 2\/3*n**3 - 1\/3*n - w*n**5 + 0*n**2 + 0 + 0*n**4.\nAnswer: -n*(n - 1)**2*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + d. Let b = 0 - 1. Let z(k) = -2*k**3 + 5*k**2 + 2*k - 1. Let m(s) = b*z(s) + 2*t(s). Let u(a) = 2*a**2 - 2*a - 2. Let l be u(2). What is m(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 42 = -2. Let k = 252 + -246. Suppose 4*s + 4 = 0, k*r - 12 = 5*r + 4*s. Calculate the least common multiple of r and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -967937 at most as big as -967940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31 - 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 918837.4 centimeters in kilometers?\nAnswer: 9.188374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 55*l = -26208. Is -624 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((5 + (sqrt(700) - (-3*sqrt(700) + sqrt(700))) - sqrt(700)*-3*6)**2 + (0 + (-1*sqrt(700))**2 - ((sqrt(700) + 0)**2 + 3))).\nAnswer: -617444 - 4200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from yeeyyyydde?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -2.9\nAnswer: -2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (556*a + 5379 - 5379)*(-5 - 8 + 8 - 17).\nAnswer: -12232*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 1, -2*h = -2*w - 10 + 22 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5*g - 16, -2 = -l - 42*g + 41*g. Put l, 1\/10, -281 in increasing order.\nAnswer: -281, l, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2315\/2 + 1134. Let l(m) = m**2 + 5*m. Let t be l(-5). What is the common denominator of b and (t - 18)*(-6)\/15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -380 + 381. Let b be (-20)\/9 - 6\/(-27). Sort p, -5, b in decreasing order.\nAnswer: p, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, d: 2, t: 9}. What is prob of picking 1 d and 3 u?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -55, 0.03, 0 in descending order.\nAnswer: 3, 0.03, 0, -1, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5093425 = 4*m - 4866575. What is m rounded to the nearest 100000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s + 0*s - 2*s + 2*s**2 + 3*s**6 wrt s?\nAnswer: 360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(28) + -1)*-1 + 2)*-5 - (5 + (1*sqrt(28) - sqrt(28))*-4 - (-5*(0 + sqrt(28)) + -3)))**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25 + 12 + 2)*(-42*l - 3 + 23*l + 18*l) as w*l + k and give k.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*(sqrt(425) + 2) + ((2*sqrt(425))**2 + 2 - sqrt(425)) - -3*(sqrt(425) + (-5*(3 + sqrt(425)))**2 + sqrt(425))).\nAnswer: 6870*sqrt(17) + 102774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3060 - 27. Suppose 0 = 2*r + 2*p - 1094, 5*p - 854 = 4*r - c. Suppose 2*i - r = -4*i. List the prime factors of i.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -370447?\nAnswer: 370451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3715 + -2022. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42071311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 147511491.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10209, 20408, 30609, 40812, 51017?\nAnswer: 61224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 324608?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1398, -1394, -1388, -1380?\n\"Answer: g**2 + g - 1400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 + b + 5. Suppose -5*w + 11*w - 12 = 0. Suppose 0 = 7*g - 6*g - w. Let v(h) = -1 - g - 3 - h**2 + 2. What is -3*a(q) - 4*v(q)?\nAnswer: -2*q**2 - 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.9975 years to decades.\nAnswer: 2.99975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from imwwiimimiwiiwiwwmi?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 18*k**2 - 41*k + 7. Let q be f(20). Let s = q + 25. List the prime factors of (-4)\/s - (-2 + (-790)\/3).\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.5, 4\/3, -1.6, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (7 + -1)) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 507, 512, 519, 528?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 69 divided by -1\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**2 - m**2 + 2*m + 4*m**2 - m**4 + 2*m**3 to the form x*m**2 + k + a*m**3 + h*m + t*m**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2239 is divided by 246.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, v: 3, l: 2, o: 3, a: 2}. What is prob of sequence vtvo?\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 11:02 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 5. Let s = k - -5\/2. Are 0 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 286 and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/2 + 1)*4. Let r be 1\/(4\/(0 - 12)). Which is the second smallest value? (a) -4 (b) r (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (3 - -6) - 23. Let y(v) = -31*v - 43. List the prime factors of y(h).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 20 - 60. Suppose -9464 = -z*n - 4*n. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/15 - (-14)\/10. Suppose -5*z - 4 - 4 = -2*x, -4*x = -2*z - 16. Put s, z, 4 in descending order.\nAnswer: 4, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 28\/3 in descending order.\nAnswer: 28\/3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 2*a**5\/55 + 3*a**4\/22 + 2*a**3\/11 + a**2\/11 - 5. Let v(w) = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**2 - 7871944*z - 3872968896196 = 0. What is z?\nAnswer: -983993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607707030.\nAnswer: 2, 3, 5, 7, 2893843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (374\/22 + -12 - (-68)\/(-12))*(-237)\/(-2).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 divided by 34.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3502, -7005, -10508?\nAnswer: -14011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**3 - 4*v**2 - 6*v + 6. Let y be z(4). Let f = y - 85. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42477271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -p + 16, 2*g - 18 = -2*p - 6. Let o = p - -1. Suppose -3*x + 80 = o*x. What is the smallest common multiple of 18 and x?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + -62. Let u be ((-150)\/90)\/((-5)\/6). What is the closest to -0.4 in t, 1\/7, u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 31. Let f(r) = 1746*r - 249. What is f(q) + 8*y(q)?\nAnswer: 1754*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 9*i**2 + 33. Let q(f) = -5*f**2 - 17. What is 4*h(z) + 7*q(z)?\nAnswer: z**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/40*(-1)\/(-1). Let n = 5 + -7. Which is the closest to 0.1? (a) o (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -5. Let f = 7 + i. Suppose 4*s - 20 = 0, 3*s - 45 + f = -4*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m + 530 = 491 - 250 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + x + x + (9 - 12 - 18)*(-2 - 4 + 1)*(-2*x + 2*x - 2*x))*(-x**3 + 2*x**3 + x**3).\nAnswer: -416*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -2\/13, 14, 4, -12 in descending order.\nAnswer: 14, 4, 2\/3, -2\/13, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/45 and 137\/1080?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/8 and ((-55)\/590)\/(-11)*-65.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266bd7 (base 14) in base 7?\nAnswer: 14155560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 7\/10*j**5 - 4\/3*j**3 - 4 - 2*j - 2*j**4 + 0*j**2. Let k(n) be the first derivative of y(n). Factor k(i).\nAnswer: 2*i*(i - 2)*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-175)\/15 - (-4)\/6. Let x be (-7780)\/(-8)*y\/(-3). Let p = -3550 + x. What is the common denominator of p and -63\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -64, -129, -194, -259, -324, -389?\n\"Answer: -65*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -325*o**3 - 201*o**3 + 13 + 659*o**3 as c*o**2 + r*o**3 + l*o + v and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 2:47 AM?\nAnswer: 239","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve 547 = -y + 552, 4*a = 3*y - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 12*w. Let d be k(2). Let q be (d\/5)\/(6\/45). Suppose n = -n + q. Solve -n = 4*u + j, 5*u = 5*j - 5 - 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/6)*r)\/r)\/(((((((r*r*r**(-13))\/r*r*r*r)\/r)\/r)\/r)\/r)\/r)*(r*r*((r**(-1\/3)\/r)\/r)\/r)**41 assuming r is positive.\nAnswer: r**(-81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -234*q**3 + q**2 + 706 wrt q?\nAnswer: -702*q**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*f + 1664*f - 127*f + 1394*f.\nAnswer: 2957*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 24*l**2 - 63*l - 747. Does 21 divide d(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 340467368?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 1:42 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -2*u**3 - 1\/10*u**5 + 13\/24*u**4 + 0 + 0*u - 28*u**2 + 1\/120*u**6. Is 18 a factor of d(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 939 - -15628. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74179297 a multiple of 890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 4. Let o = 10 - 13. What is the closest to x in o, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 3*j + f + 239, 4*j = -5*f + 245. Let t(n) = 10 + 4*n - j + 4*n - 9*n. Let s(b) = -5 + 5 - 2*b. Give s(t(v)).\nAnswer: 2*v + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -8, 57, 168, 331, 552, 837, 1192?\nAnswer: 1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c - 2 + 2. Is -1\/22 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvh when four letters picked without replacement from vvhhvvvhhvhvhhhh?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(3584))\/(sqrt(16)*-2))\/(-5*-1*sqrt(162)*1).\nAnswer: -4*sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 148 + -148. Suppose 7*t - 2*t - 35 = 0. Sort t, z, 2\/7 in increasing order.\nAnswer: z, 2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -26 + 11. Let h(n) be the second derivative of -n**3 + 0 - 5\/2*n**2 + 39*n. Let z(p) = 4*p + 3. Give s*h(q) - 8*z(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a + 3*a - 3*a. Let w(c) = 175*c - 100*c - 66*c. Calculate p(w(o)).\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**6*s + 2*a**4*s - 8*a**3*s**2 + 82*a**2*s**2 - 2*s**2 wrt a.\nAnswer: 120*a**3*s + 48*a*s - 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1280 = -83*x + 211*x. Let u = -155 - -617\/4. Which is the nearest to 1? (a) x (b) u (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - y**2 + y. Let a(s) = 521*s**3 + 17*s**2 + 7*s + 2. Let c(i) = -a(i) - 6*b(i). Is 12 a factor of c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 1302049\nAnswer: 5208196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -731, -2624, -6263, -12218, -21059, -33356?\nAnswer: -49679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**6*r\/(r\/(r\/r**(-1\/5))))\/(r**0)**(-44) assuming r is positive.\nAnswer: r**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(187) + sqrt(187) + sqrt(187) + (-1*sqrt(187) - sqrt(187) - sqrt(187)) + sqrt(187) + sqrt(187)))\/sqrt(11) - (-2*1*sqrt(85))\/sqrt(5).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -948*z = -309*z - 311*z - 309*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 12:20 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - j - 27 - 18 = 0, 5*f - 5*j - 65 = 0. Let i = f - 4. Suppose -2*y = 5*s - 7, i*y + 8*s - 3*s = 19. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, w: 1, c: 1, j: 1, m: 1}. Give prob of sequence mvjw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 214454\/61005 + -292\/83. What is the biggest value in 0.5, -3, l, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 49839828\nAnswer: -199359312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 109 + (-1 - (2 - 4)). Suppose x = 4*c - 2*b, -3*b - 23 = -c - b. Suppose 2*k - k + c = -5*p, -4*k + 4 = 0. Which is smaller: -8 or p?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 7*r - 6. Let y be n(6). Suppose y*a + 4*q = a + 8, -a - 5*q = -19. Solve a*l = 6*l + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 215*b + 839. What is a(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 8*g = 99 - 133 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380579*z + 381507*z - 33408 = 0 for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**5\/30 + w**4\/12 + 11*w**2\/2 + 3. Let k(o) be the second derivative of d(o). Suppose k(i) = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -1\/7 (c) -3 (d) 3 (e) -80\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25117767?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -513, -519, -521, -519, -513, -503?\nAnswer: -489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -26*z**2. Let b(c) = 828*c**2. What is b(g(p))?\nAnswer: 559728*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 9:14 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 3494?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*p - 65*p - 56*p.\nAnswer: -158*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -15. Suppose -6*w + 5*w = -x. Suppose -4*f - 790 = -w*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.367886 days to microseconds.\nAnswer: 636585350400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (28\/(-8) + 4)*6. What is the common denominator of ((-7)\/2)\/((-4)\/(-26)) and (b\/4 - -4)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**6\/120 - 3*g**5\/40 + 29*g**4\/16 - 8*g**3\/3 - 39*g**2\/2 - 11*g - 348. What is l in z(l) = 0?\nAnswer: -13, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -2, -161, 0.2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/6)\/((-3)\/(-12)). What is the second derivative of l*s**5 - s - 6*s**5 + 2*s**5 wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-7)\/(-2)) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26581, -53167, -79753, -106339, -132925?\nAnswer: -159511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2237 divided by -4.\nAnswer: 2237\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/3 (b) -1\/9 (c) 0.3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.7497 + -2.8151. Round m to 2 dps.\nAnswer: 3.93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 5*b + 2*c, 0*c + 3*c + 43 = 4*b. Suppose -66 = -2*z + 74. What is the remainder when (-16)\/(-24) - z\/(-3) is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34781?\nAnswer: 34781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 180641 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 16 = 7*q - 5*q, 5*q + 3*r - 8 = 0. Suppose 2*a - 4*a - 16 = -w, 2*a + 96 = 5*w. Calculate the smallest common multiple of q and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 45?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 14 + 4)*(3*p**3 + p**3 - 2*p**3 + (0*p - 2*p + 0*p)*(-2*p**2 + 2*p - 2*p) + p**3 + 2*p**3 + 0*p**3).\nAnswer: 162*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2250433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 146480 in decreasing order.\nAnswer: 146480, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 190.4 + -180. Let r = 14.4 - n. Which is the biggest value? (a) 2 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/(663\/(-104)))\/((-4)\/70*5).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1104)\/115*(-5)\/80?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/((8\/20)\/(-2)) + (-140)\/60.\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60826097?\nAnswer: 60826097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2940 and 510560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*t = -2*m + 168, -5*t = 20. Suppose -l + 2*q = 4*l - 104, -5*q = 4*l - 103. What is the greatest common divisor of m and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1164352 (base 7) in base 10?\nAnswer: 150418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - y**2 - 1. Let a(x) = 4*x**3 + 8*x**2 - 3*x + 11. Let s(v) = a(v) + 6*j(v). Let t(q) = 2*q**3 - q**2 + 2*q - 4. What is 2*s(d) + 3*t(d)?\nAnswer: 2*d**3 + d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**2 + 0*j**2 + 3*j**2)*(j**2 + 2 - 2) + (4*j**2 - 4*j**2 - 2*j**2)*(2*j - 2*j - j**2) in the form h*j**2 + o + a*j**4 + v*j**3 + z*j and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5334?\nAnswer: 2, 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82522 + -5063. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = l, 0 = 3*f - 5*l + 3*l - 3865. Let q be (-214)\/4*f\/(-12). Let s = 5747 - q. Calculate the common denominator of -53\/14 and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179170824 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 5561?\nAnswer: -5\/5561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -475757, -949808, -1423861, -1897916, -2371973, -2846032?\nAnswer: -3320093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*n - 12 = -3*t + 49*n, -3*t - 88*n + 84*n + 19 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -1. Suppose 0 = -3*x + p + 10, -4*x + 5*p - b*p = -10. Suppose -282 = x*f - 1087. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 < -23541381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21267629 - 681*z**2 - 21267629.\nAnswer: -681*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43713.6 kilograms to milligrams.\nAnswer: 43713600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4706.71 * -2\nAnswer: -9413.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 + -82. Solve 2*n + 8 = 5*j - 13, 4*j - s = -2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 2*b**2. Suppose -4 = 3*q + 2. Let z be n(q). Suppose z = -5*v + 22 + 8. Solve -a - 10 = 2*i - v*a, -2*i - 3*a - 10 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from ufuvfuuuufuufu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -42. Suppose m*y - 6 = 6*y. Is y smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -358*u + 83. Let n(r) = 89*r - 23. Let v(m) = 3*a(m) + 11*n(m). Let d(h) = 2*h**3 - 2*h - 1. Let p be d(-1). What is the units digit of v(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (35 - (1 - 2))*(-2)\/(-6). Let z(k) = k + 16. Let c(a) = -3*a - 33. Let o(i) = 2*c(i) + 5*z(i). Let x be o(d). Solve u + 1 = x*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + sqrt(24)\/sqrt(4)*-5)\/(-6*sqrt(6)\/sqrt(2)).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -32, -16, 16, 70, 152, 268, 424?\nAnswer: 626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/9900 and 53\/132?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1\/4, 0, -321.8?\nAnswer: -321.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 740.\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y + 15. Suppose -3*f - 3*p - 6 = 0, -f + 4 = -4*f - 4*p. Let d = 10 - 10. Put y, d, f in ascending order.\nAnswer: f, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -5252 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, e: 4, k: 5, d: 6}. What is prob of picking 2 l and 2 d?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7\/k*k**(-3))**(-43)*k**(1\/2)*k**(-2)*k**(-6)*k*(k\/k**(2\/13))\/k assuming k is positive.\nAnswer: k**(-3527\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1257, -2516, -3775, -5034?\nAnswer: -6293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (70\/(-5))\/(2\/(-76)). Suppose 2*x - 266 = -2*z, z - 3*x = -3*z + l. Suppose -z = -5*y + 882. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -63, -210, -455, -798, -1239, -1778, -2415?\n\"Answer: -49*p**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4165 by 6.\nAnswer: 4165\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-7) + 2\/7. Let i = -0.788 + 339.788. Let r = -339.4 + i. Which is the closest to v? (a) r (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-1)\/sqrt(4) + -5 + (5*sqrt(567)*2)**2 + 4.\nAnswer: -4*sqrt(7) + 56699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*y - 19 + 19)*(-1 + 1 - 2*y) + (-y - 3*y + y)*(0 + 0 + 2*y) + 0*y - 2*y**2 + 0*y.\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)*-4)\/sqrt(11).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 + -101?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 7:50 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -c + 12. Let p be (2\/c)\/(10\/(-225)). Suppose -21 = -3*b + p. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k - 4. Let r be h(-4). Suppose 0 = -y + 6*y - 4*d - 11, -4*y + r = -4*d. What is the second derivative of 22*o + 19*o**3 + 2*o**3 - 7*o**y wrt o?\nAnswer: 84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(-22) + (-4)\/22. Let v(f) = -f**2 + 8*f + 8. Let n(w) = -3*w**2 + 23*w + 24. Let q(x) = -3*n(x) + 8*v(x). Let o be q(6). Which is smaller: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -756 by -42.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -7*b + 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (95\/20 + -6)*(-2)\/(-5)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 12*c**2 + 15*c - 12. Determine z(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -878.758 and -0.5?\nAnswer: 878.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*s + 12*s**3 + 3*s**3 + 202*s + 0*s**3.\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 3992419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/17 and -49\/85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*(-3 + (sqrt(7)*1)**2 + sqrt(7)) + (sqrt(84)*-1 - sqrt(84))\/sqrt(12) + -5 + sqrt(7) + sqrt(7)*-2).\nAnswer: -8*sqrt(7) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2\/11 + 38*v\/11 - 96\/11 = 0.\nAnswer: 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsuxaaaalshs. Give prob of sequence ash.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/((-2)\/(-1)). Let x = -24.1 - -23. Let m = -0.6 - x. Sort m, 5, s in descending order.\nAnswer: 5, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -6, 39, -3?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*s - 62*s = 1. What is the second derivative of -11*o**2 + 4*o**3 - 13*o - 9*o**2 + 26*o**2 - s wrt o?\nAnswer: 24*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-7\/2))**(-4\/13)\/(m*(m*m\/(m*(m\/m**(-13))\/m*m)*m)\/m)**46)**(5\/6) assuming m is positive.\nAnswer: m**(5965\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v**2. Suppose 0*q = q + 2*r, 3*r + 9 = 3*q. Let f(c) = 6*c**2 - 13*c**2 + 11*c**2 + 5*c**q. Determine a(f(w)).\nAnswer: 648*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + -10 - (-10 + 4 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 + 72. Solve 0*b - 5*b - h*q = 15, 4*b = 5*q - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 1. Let b(y) = 204*y - 524. Let s(u) = -b(u) + 2*v(u). Differentiate s(w) wrt w.\nAnswer: -206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5042, 12, -0.2, -0.1?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.209*29\nAnswer: -6.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7976959 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -795, -1607, -2431, -3267, -4115?\nAnswer: -4975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 668309*a - 334158*a - 11*a**2 - 334151*a + 2*a**2.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d. Suppose 2*g - 2*j = 16, 37*j - 26 = -2*g + 41*j. Let b(p) = -p**2 + 69*p - 202. Let t be b(g). Calculate i(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -11*l**2 + 8*l - 11. Let c(m) = 5*m**2 - 4*m + 5. Let t(q) = 2*a(q) + 5*c(q). Let p be t(1). Solve 0 = -p*f + 3*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2031642854 to 5 dps.\nAnswer: -0.20316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - h + 5 + h + 0*h. Let f be q(7). What is the tens digit of ((-3)\/3)\/(f\/44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*w + (-2 + 0 + 1)*(0 - w + 0))*(6*w**2 - 62*w**2 + 33*w**2).\nAnswer: -92*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-5) + -3 + (-116613)\/(-35). Suppose -13*s - 118 = -v. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(8) + -3*sqrt(16)\/sqrt(2)) + -2.\nAnswer: -2 - sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 65 = -4*f, -v = 7*f - 3*f - 85. Solve -f*t = -16*t + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2952568?\nAnswer: 2, 369071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**3 + 7432*h**2 + 22268*h + 14840 = 0.\nAnswer: -1855, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.27 + 0.37. Which is the biggest value? (a) p (b) -1\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.2. Let z be 0 - ((-36)\/(-3))\/(-3). What is the third biggest value in x, 5, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**4 + 7616*f**2 - 7375*f**2 - 18*f**3 - 17*f**3 wrt f.\nAnswer: 48*f - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117255746 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-10)*-3*4*(-5)\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1211?\nAnswer: -3\/1211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*i - 15. Suppose -6*a = -i*a - 11. Calculate the smallest common multiple of 1 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3551 is divided by 222?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 258\/(-172) - ((-9)\/(-6))\/(-1). Put -5, -1.38, p in ascending order.\nAnswer: -5, -1.38, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -5*z**3 - 1\/4*z**4 - 75\/2*z**2 + 8*z + 0. Factor s(x).\nAnswer: -3*(x + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 + 192580113.\nAnswer: 192580112.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v**4 - 20656*v**2 - 25078 with respect to v.\nAnswer: -8*v**3 - 41312*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/6 - 2)*(-1122)\/(-88). Let x = -10 - -26. Which is greater: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/9)*b**4\/b)\/(b**(-5\/2))**50 assuming b is positive.\nAnswer: b**(1148\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-2\/3)))\/(z*z**0*z)*z*z**(4\/7)*z**6 assuming z is positive.\nAnswer: z**(103\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104 + -98. Suppose -56 = -v*r - 8*r. Solve 40 = 5*q + r*u, u + 1 - 2 = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 1 (b) 1\/3 (c) -5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 58876933 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 411250 to the nearest 10000.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from {o: 10, c: 1, j: 1, b: 2}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*n + 2*c - 1 + 21, -44167*n + c - 6 = -44166*n + 4*c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4064 and 4376166?\nAnswer: 70018656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = 0, -4*l + 0*l + t + 42 = 0. Let x be l\/2 + 13\/(-26). Suppose -x*m - 32 = -127. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55506275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10756 or -2\/2119?\nAnswer: -10756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -9 + 339. Suppose 3*g + 45 = o. Suppose w + g = 6*w. Calculate the greatest common divisor of 24 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 285, 572, 859, 1146, 1433, 1720?\n\"Answer: 287*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8764623g in milligrams?\nAnswer: 876.4623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -9 (b) 3\/2 (c) 0.03 (d) 473 (e) -0.3 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-8) + (3 - (-5)\/(-2)). Sort -0.4, -0.5, -0.3, s.\nAnswer: -0.5, -0.4, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 945*b - 1778*b + 485*b - 6019*b - 6634*b.\nAnswer: -13001*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 20*z**2 + 3*z + 41. Let b(p) = 7*p**2 + p + 14. Determine -17*b(r) + 6*q(r).\nAnswer: r**2 + r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 9*n - 36. Let v(r) = 1. Let h(a) = -u(a) - 36*v(a). Let o(t) = 14*t**2 + 12. Let s(b) = 30*b**2 + 26. Let c(x) = -13*o(x) + 6*s(x). Give h(c(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 17*i - i**3 - 17*i**2 + 0*i**3 - i**3 + 3*i**3 - 14. Let m be d(16). Is m + 1 + 988\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + (-18)\/10)*(-75)\/18. Let i = 88.8 - 89.8. Put i, -5, m in ascending order.\nAnswer: -5, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1953 - 614 - 196)*(-x**3 + 4 - 4).\nAnswer: 2763*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 26*x - x**2 - 14 - 20*x + 2*x**2. Calculate the lowest common multiple of 42 and d(-8).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3 (b) 5 (c) -1\/6 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7581 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2967 in -0.3, -5\/3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {l: 1, x: 7}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11027 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 251 + 148\/3*b**3 + 0*b**2 + 32*b. Differentiate t(s) wrt s.\nAnswer: 296*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a83 - -5?\nAnswer: -a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*j + 4*j + 2*j + 16 wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert bb194 (base 13) to base 3.\nAnswer: 122012111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2123 + 181 - 1223 = -172*k + 2167 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = 0, -4*w - 2*s + 5*s = 4206. Round w to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 times -0.20942\nAnswer: -5.2355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12357711?\nAnswer: 3, 347, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 4:54 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = l + 3, 15 = -5*c - 3*l - 2*l. Suppose -5*n - 17 - 3 = c. Let z(m) = -2*m - 4. Let g be z(n). Solve 0*x - x + 1 = -3*p, 3*x - g*p = 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5900*l**6 - 2*l**5 + l**3 - 6*l**2 - 10*l - 7?\nAnswer: -708000*l**3 - 120*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -0.06?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 326\/12 + (-8)\/12. Let d = h + -26. What is the common denominator of 121\/20 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -17*v**2. Let q(o) = -2714 + 472*o - 2708 + 5422. Determine q(g(h)).\nAnswer: -8024*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 4*x**2 - 3*x - 42. Let a be i(-5). Let p(t) = -4*t**3 + 3*t**2 - 9*t - 21. What is the remainder when 326 is divided by p(a)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 2\/3*l**3 + 0*l**2 + 2 - 39*l. Let j(c) = -2*c**2. Determine o(j(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 795754 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52865 - -52869. Suppose -3*b + 4*i + 52 = -0*i, i = 4*b - 52. Solve 0*t = a*t - b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*h - 5*h**3 + 12*h)*(3*h - 4*h + 20 - 5).\nAnswer: 5*h**4 - 75*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2653068 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*z + 9*z**2 - 2 + 64*z + z**4 as i*z + t + x*z**3 + k*z**4 + o*z**2 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3651098954.\nAnswer: 2, 41, 43, 1035479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 41*u + 33. Let w(h) = -129*h - 95. What is 11*c(j) + 4*w(j)?\nAnswer: -65*j - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvzvzvvvv. What is prob of sequence vzz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 187*p**2 + 32*p + 8. Is j(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/(-14) - 15\/35. Suppose -3 = a*t, t + 2*t = 5*h - 3. Solve 0 = 5*x - 25 - h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (4 + -47 + 19 + -14 - 11) - -8?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/49978, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m + 20*m - 29*m.\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17.433 and 1.252?\nAnswer: 21.826116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*b - 108*b = 362*b + 1033*b + 1262 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 664 and 44963756.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 5*o - 145, 157*o - 155*o = -2*y - 62 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2*x + 4 - 2, 28 = 4*c + 4*x. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200, 174, 112, -4, -192, -470, -856, -1368?\nAnswer: -2024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1659 - -0.165893044. What is l rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/189018 and -22\/63.\nAnswer: 1323126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (246*4)\/(-8)*1\/(-3). Let x = 89 + m. What are the prime factors of x?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 9, l: 7}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4603 (base 7) in base 9?\nAnswer: -2254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5 + (11051\/215 - 49). Suppose -6\/5*g - 2\/5*g**j - 4\/5 = 0. Calculate g.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 i when three letters picked without replacement from ziiiiiiiiziiiiiiizii.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 + 7 - -6) + 89 + -73?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-10))\/(-1)*100\/(-120).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017529091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 13. Let b be x(11). Let f be (8\/36)\/(b\/6). Sort 0.3, 0.5, f.\nAnswer: f, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12579 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0306, -2, 3\/4, 1 in ascending order.\nAnswer: -2, -0.0306, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*a - 9. Suppose a = -5*j - 14, 4*q - 4*j - 32 = 0. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y**(-20)\/y*y)\/y)*y)\/(y\/(y*y**(-13\/2)*y))*(y*y**(-27))\/(y\/(y*y\/y**16)) assuming y is positive.\nAnswer: y**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, a: 3, o: 3, d: 1, t: 1, n: 1}. What is prob of sequence oodn?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5325, 21498, 48461, 86220, 134781, 194150, 264333?\nAnswer: 345336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1974, -1851, -1728?\n\"Answer: 123*y - 2097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/6083158 and -57\/10?\nAnswer: 30415790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 - 38) + 0 + 2 + (13 - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76*p**5 - 6*p**3 - 3*p - 18 wrt p?\nAnswer: 1520*p**3 - 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 13*o + 5. Let q be y(6). Let n be (-29)\/((-1015)\/42) + (-12)\/(-15). Let u = q + n. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -11*t**2 + 6*t + 6. Let m(p) = -6 + 32*p + 11*p**2 + 1 - 39*p. Let z(n) = -7*k(n) - 6*m(n). Differentiate z(r) wrt r.\nAnswer: 22*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**3 + 2*k**3 - k**3)*(65*k + 5 - 16 + 11) to the form d + a*k**4 + f*k**3 + y*k + v*k**2 and give a.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -660846, -660851, -660856, -660861, -660866, -660871?\n\"Answer: -5*k - 660841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754574824.\nAnswer: 2, 41, 211, 10903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 10552085?\nAnswer: -10552086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1578*r**2 + 2*r - 280?\nAnswer: 3156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*3\/(-27) - 6715\/7821. Which is bigger: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96.97 + -98. Round t to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -57577157 and 5.867.\nAnswer: -57577151.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, -2, 432, -34, 4 in ascending order.\nAnswer: -34, -6, -5, -2, 4, 432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3731, 3393, 2833, 2051, 1047, -179, -1627?\nAnswer: -3297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -193 - -159. Let j be (f\/(-918))\/(1\/(-6)). Which is the fourth smallest value? (a) 4 (b) j (c) 13 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18020, -18007, -17976, -17921, -17836, -17715?\nAnswer: -17552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4404, -4406, -4408, -4410, -4412?\n\"Answer: -2*m - 4402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 8*t. Let p be o(-9). Let v(i) = -i**2 + 10*i - 5. Let k be v(p). Solve -k*a + 20 = 0, -h - 2*a = h - 16 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/7, -2362, 3, -28.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by ((-6)\/(-4))\/(21\/140).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67 and 516101.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -354 in -0.4, 2\/17, -2.8, 3?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1357, -1574, -1855, -2200, -2609, -3082?\nAnswer: -3619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + h)*(-553 + 270 + 271)*(29 - 8 + 17)*(-1 + 1 - 4)*(0 - 2 + 1) to g + r*h and give r.\nAnswer: -1824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -3*m. Let x be 1610\/(-13) + 6\/(-39). What is the least common multiple of m\/18 - x\/9 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -10, -54659 in descending order.\nAnswer: -10, -20, -54659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, -55, -179, -413, -793, -1355, -2135, -3169?\n\"Answer: -6*t**3 - t**2 - 5*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 130 - 124. Let l(h) = -h**2 + 8*h + 2. Let y be l(8). Factor 1 + 14*c - 14*c**3 - b + 4*c**y + 4 - 3.\nAnswer: -2*(c - 1)*(c + 1)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 5*j + 5 + 14, -a - 11 = 3*j. Let y = 8 - 10. Let i be a*y\/(-6)*12. Solve -4*w + 2*n + 2 = -18, i*w = 4*n + 28 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14611 is divided by 126?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 3 + 5 + -1. Suppose -4*c = -z - 22, w*c - 7 + 0 = -4*z. Solve 3*t + 11 = -v, -c*t + 4*t + 3*v - 7 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1688 and 113\/36.\nAnswer: 15192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 54. Let i = z + -8. Let w = i + -1. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 3*m**2 - 3*m - 3. Suppose d - 3 = -0. Let x(b) = 4*b**2 + b**3 - 6 - 4*b + 5 - d. What is -4*j(a) + 3*x(a)?\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 936.24 + -936. Which is the third biggest value? (a) -4 (b) -1.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 3*k**2 + 31*k - 77. Let v be j(3). Solve v*p - 17*p + 1 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -155*k - 3907. Calculate j(-29).\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -4*u - 621 + 225. What is the greatest common factor of 2322 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 391158.0701 - 391183. Let l = s + 4.7809. Let a = l - 0.151. Round a to 0 decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + 4*g**3 - 2*g**3)*(1 - 5 + 2) + (g - g + g)*(g**2 - 3*g**2 + 5*g**2).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-45)*(-6)\/6. What is the nearest to 7 in g, 2\/9, -52, -1\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -26, -22, 0, 46, 122, 234, 388?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -165, -1\/5, -4.783, -0.3 in descending order.\nAnswer: -1\/5, -0.3, -4.783, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13528 - 13498. Solve 33*k = -4*n + x*k - 5, -n + 2*k + 18 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 6*v + 19 = -7*v, v = 1. Suppose 0*l - 2*l + 6 = 0. Solve -5*o = 12 + l, 37 = 5*h - c*o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -971, -1783, -2599, -3419?\n\"Answer: -2*n**2 - 806*n - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 0.4 (b) -11825 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1323*d**2 + 234?\nAnswer: -2646*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1548680 to the power of 1\/2, to the nearest integer?\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -10*w**4 - 10*w**3 - 5. Let p(n) = -2*n - 1. Let a be p(0). Let d(i) = -i**4 - i**3 - 1. Let l(g) = a*y(g) + 5*d(g). Find b, given that l(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 1. Suppose 0 = 10*j - j - 27. Let l(y) = -17*y - 19*y + 40*y + 4 + j*y**3. Calculate l(a) - 4*x(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -21. Suppose 5*n + 5 = v + 4*v, -s*v - 5*n + 40 = 0. Put 3, -1, v in decreasing order.\nAnswer: v, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 1\/60*b**6 + 0*b + 0 + 7\/30*b**5 - 66*b**2 - 7\/3*b**3 - 1\/12*b**4. Factor f(o).\nAnswer: 2*(o - 1)*(o + 1)*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9669, -22892, -58713, -128430, -243341, -414744?\nAnswer: -653937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 80*o**3 + 559*o**2 + 7*o + 96. What is h(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -474 - -869. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6382 or -6381?\nAnswer: -6382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(117)*3)\/(sqrt(324) + (3*sqrt(324) - sqrt(324) - sqrt(324)) - sqrt(324)).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**5\/9 - 4*k**4\/9 + 2*k**3\/3 + 8*k**2\/9 - 8*k\/9 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 20 = 0, -4*d - 405 = -4*l - 429 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -13\/8*s**2 + 9\/8*s**3 + 1\/80*s**5 - 5\/16*s**4 - 3 + 2*s. Find p, given that v(p) = 0.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z**3 - 3*z**2 + 19*z - 33. Is 26 a factor of v(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -216 + 219. Suppose 0*q = q - o*w - 63, -w = -q + 69. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20976 + 3*y + 7*y - 20971 + 3*y.\nAnswer: 13*y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -8055.256 to 0 decimal places.\nAnswer: -8055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 4*n**2 + n - 2. Let g be d(-3). Suppose -g*m + 42 = -6*m. What is the units digit of (-1 - -9)*m\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*-1)\/sqrt(9) - (sqrt(125)*2 - sqrt(125))**2.\nAnswer: -125 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 4. Let h(u) be the third derivative of u**5\/30 + 2*u**3\/3 - u**2 - 11*u. Let s(l) = -3*c(l) + 2*h(l). Determine j so that s(j) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 5. Suppose 2*o = d*o + 10. Let q(v) be the first derivative of -v**2\/2 - 3*v - 1. Calculate q(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -2*v**2 - 22*v**3 + 56*v + 127\/60*v**5 + 0 + 0*v**4. Differentiate l(n) wrt n.\nAnswer: 254*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8511918 and 372?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 839\/607?\nAnswer: 839\/607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244, -808, -1680, -2860, -4348, -6144, -8248?\nAnswer: -10660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a - 2*a**3 - 1 - 5 - a**3 + 0*a**3 + 6*a**2.\nAnswer: -3*(a - 2)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3051 and 26781.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*z - r, 10*r = -3*z + 6*r - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8070 + 145?\nAnswer: -7a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 + -1 + 43 - (1 + 1)) + -61 + 2.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*(-270)\/(-1440))\/(21\/1).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -22*h**2 - 3*h. Let s(g) = -21*g**2 - 4*g - 1. Give -2*s(c) + 3*y(c).\nAnswer: -24*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l + 9*l = 96. Let z(d) = 797*d**2 + 2 + d - 2. Let s be z(l). Round s to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/14 (b) -5\/2 (c) 385\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 8, r: 3, m: 2, c: 2, u: 1, w: 1}. Give prob of sequence fwm.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/704 and 29\/48?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**2\/2 + o + 1. Let g(u) = 4*u - 28. Let v(j) = j - 9. Let f(m) = 2*g(m) - 7*v(m). Let b be f(-6). Calculate r(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 379 + 394 = -4*x, -70 = x - 65*p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -154*a + 1393. Calculate i(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -458 in 1\/2, -2\/7, -3, 0.4, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 10*f + 7. Let t(w) = -w + 4. Let s be (-12)\/(-20) - (-46)\/(-10). Let l be t(s). Is c(l) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1123, 5, 0, -3 in ascending order.\nAnswer: -3, 0, 5, 1123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 120 - 118. What is the smallest value in u, -61, -1\/10?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -20*h + 3. Let x(s) = -54*s + 10. Let i(t) = -11*n(t) + 4*x(t). Let k(p) = -2*p. Let z(q) = q. Let w(a) = k(a) + z(a). What is i(w(o))?\nAnswer: -4*o + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 9:00 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-36)\/12)\/(-1*1\/85). Suppose c = -5*h + 280. Solve h*r - 2*r - 6 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(45)\/(sqrt(81)\/sqrt(9))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -4*k + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide (14 - 16)\/((-3)\/1944)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbhh when four letters picked without replacement from hhiiibbhh?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8660 and 23815?\nAnswer: 95260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g + 5, -x + 2*g + 26 = 0. Suppose z = x - 18. Solve 2 = 5*d - 2*h, d + 0*h - z = -h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/54*3*-267. Let m = -65 - p. What is the smallest common multiple of m and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -t**2*w**2 + 6*t**2 - 5577*t*w**2 - t*w - 6686*t - 75*w + 45 wrt w.\nAnswer: -2*t**2*w - 11154*t*w - t - 75","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 165288\/30*(-3 + 95\/(-10)). Round d to the nearest one thousand.\nAnswer: -69000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/3)*v\/v**(-6))\/(v**(-7\/3)\/(v\/(v\/(v\/((v**(-9)\/v)\/v)*v)))))**(-3\/17) assuming v is positive.\nAnswer: v**(-71\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*3 - (-20)\/12)*15. Suppose j = -5*a + 3*r, -r = a + 3*r + 14. Let c be ((-4)\/6)\/(-3*a\/(-189)). Is 2 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) -5 (c) -3 (d) 0.174\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 3 + -1 + 54 + -60?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 - 214*d - 431 - 392.\nAnswer: -214*d - 876","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - i = -1, s - 3 = -2*i - i. Suppose -2*x = 5*j - 27, -1 + s = j + 2*x. Let c(z) = 13*z - 2. Is c(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39214301 is divided by 1489.\nAnswer: 1486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405831*g - 405831*g - 10*g**3.\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and 0.024.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45508314301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1319*y + 23744. Give j(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 408 + -197. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.022? (a) 186 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -145 - -144.03. Let v = 0.03 - h. Let s = v - 1. Which is the second biggest value? (a) -1\/5 (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q - q - 7*q)*(-2*q + 3*q + 0*q) + (2 - 2 - 4*q)*(0*q + 0*q + q) in the form h + d*q**2 + f*q and give d.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*n + 19 = 0, 8*n + 3 = 11*n. Let g(o) = o**2 - 6*o + 4. Let r be g(8). Suppose w*c = -3*c + r. Put 5, 1, c, 4 in ascending order.\nAnswer: 1, c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43381*q**3 - 546*q**2 + 89649558*q.\nAnswer: -260286*q - 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/7)\/(n\/(n\/(n\/(n*n\/(n\/n**(1\/7)*n))))))\/(n*n*n\/(n**(2\/3)*n)*n)**(2\/7))\/(n\/n**(-2\/31)*n**(-3)*n)**(-2) assuming n is positive.\nAnswer: n**(-2024\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0) + -1 + -126 + 132?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/286 and -101\/52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 6:53 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzt when three letters picked without replacement from {t: 1, z: 2, j: 1, q: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14078*w + 125*w**3 - 14100*w - 122*w**3.\nAnswer: 3*w**3 - 22*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 346 - 314. Solve z = 5*x - 4*i, x + 5*i = -0*i - 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -7*s + 227. Let q = 312 - s. Is 19 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from ojojjnoooojojoff.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (135\/(-6))\/5*1788\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z + 16. Let p be m(5). Let b = -6 + p. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) 291 (c) -2\/9 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.972 + 0.028. Sort i, -0.3, -2\/5, 0 in increasing order.\nAnswer: -2\/5, -0.3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*((-8)\/42)\/(-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20289977?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1\/9, -2\/19, 2, 9 in ascending order.\nAnswer: -1\/3, -2\/19, 1\/9, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1369 is divided by (196\/(-16))\/(-2 - (-165)\/88).\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132 divided by 11\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 10 - (60 + (-1 - (-34 + -31)))\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, b: 3, s: 7}. What is prob of sequence uub?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*s - 1554 = -6681 - 2169 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 18*f + 15\/4*f**2 - 96 - 1\/4*f**3. Factor u(i).\nAnswer: -3*(i - 12)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 113116\/23 + -4919. Is -2 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/26820 and 89\/44.\nAnswer: 295020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 25 (b) 3 (c) -4\/5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -25. What is the remainder when l is divided by 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 15*u + 15. Let v be s(-16). Suppose 0 = w + 4*x - 33, w + x - v = -w. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 715.327 - 716. Let m = r + 0.71. Let k = m + -0.1. Round k to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39963 divided by -3633?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 273*d*r**3 - 4*d*r**2 + 17116*d*r - 50*d - 28433*r**3 - 2*r + 23 wrt r?\nAnswer: 1638*d*r - 8*d - 170598*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -39 from 20.5.\nAnswer: 59.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -352304?\nAnswer: -352302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 2*p + 16, -r = 5*p + 1 + 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -4. Let t(k) = k**3 - k. Let a be t(-2). Let n = a + 5. Put n, r, 5 in ascending order.\nAnswer: r, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*p + 484, 0 = -p - 3*p - 16. Suppose s + 4*s + w = 3*a, 5*a = -5*s + 180. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31\/2 - -16. Which is the biggest value? (a) 5 (b) 4 (c) t (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 360.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/1)\/((456\/16)\/19)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 11.44. What is the second smallest value in l, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2139*b**2 - 178*b**4 - 2139*b**2)*(0*b - 4*b + 2*b).\nAnswer: 356*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 245117184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*m - 238*m - 2 - 145*m - 173*m)*(-m - m - m) to i*m**2 + x + c*m and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -35\/34, 0.3, -70 in decreasing order.\nAnswer: 0.3, -0.4, -35\/34, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.17 (b) 0.2 (c) -0.07 (d) -1\/2 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 1. Let a be 2\/(-9) + (-986)\/18. Let z be a\/(-13) + (o - 8). Which is smaller: z or 1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 3:24 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/5 and 30\/(-105) + (-151)\/35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-260)\/(-32))\/13*((-39)\/15 - -3)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010011111010 - -10011110?\nAnswer: 10010110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 424*i**2. Let h(g) = 4545079 - 4545079 + 8*g**2. Give h(c(x)).\nAnswer: 1438208*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 633 + -259. Is v a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 - 4 - 6 + 332*z**3 - 74*z**3 + 8 to the form g*z**3 + l*z + n*z**2 + v and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**2\/2 + 6*b + 18 = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5390)\/(-5005))\/(2\/39)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1421154 or 11369221\/8?\nAnswer: 11369221\/8","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 9*z - 19. Let d be n(-4). Let h = d - -58. Let p = -0.1 + 0.5. What is the closest to h in -5, 2\/13, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(11)*-5 - (-2*sqrt(396) - sqrt(11) - sqrt(11)).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 17 = -4. Suppose -c*o + f = -15 + 3, 4 = o + 2*f. Solve r = -o, -2*r = 5*x + 3*r + 15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (76\/(-6))\/((-40)\/(-8640)). What is the units digit of (-4)\/26 + s\/(-39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112111160 (base 7) to base 4\nAnswer: -122012232110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 38 = 2*w, -3*w - 13 = 2*i - 2*w. Let h(x) = 2*x**2 + 14*x - 14. Let k be h(i). Solve 3*q = -4*t - 19, -4*t - k*q + 3*q = 15 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-398)\/(-78))*21\/14.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 6*p**2 - 2*p - 6. Let a be m(-6). Suppose 2*y = a - 2. Suppose 4*b = -y*g + 38 - 6, -5*g = 4*b - 56. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3025312 or 9075940\/3?\nAnswer: 9075940\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z\/((z**31*z*z)\/z)*z)\/z))**(-7) assuming z is positive.\nAnswer: z**(-217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12\/11 + 158\/165. Let l = 5.07 + -0.07. Let g = 0.3 - 0.2. What is the closest to -1 in x, g, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5686692, -11373383, -17060074, -22746765, -28433456, -34120147?\n\"Answer: -5686691*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -111111 (base 2) in base 9?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -659, -2656, -5985, -10646, -16639?\nAnswer: -23964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13728228?\nAnswer: 2, 3, 1144019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven eighteenths of a week?\nAnswer: 3920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2562c - 0?\nAnswer: 2562c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1400 + -1396. What is the fifth biggest value in -0.3, -2\/15, q, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pssmmmpmsssmm.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + q + 2*q)*(-2*q**2 + 5 - 5 + (-2*q - 2 + 2)*(12*q + 2*q - 4*q)).\nAnswer: -88*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*((2*sqrt(76))\/sqrt(4) + sqrt(19) + (sqrt(19) - (sqrt(684) + -4))**2) + 2.\nAnswer: -74*sqrt(19) + 989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (5 + -23) - (-116 - -149)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -416 + 411. Let v = -3 - -2.9. Let j = v + -1.9. Which is the closest to -0.2? (a) 1\/6 (b) j (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*o**2 + 8528259252 - 8528259252.\nAnswer: -90*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004802723888 to seven dps.\nAnswer: -0.0048027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 1.31?\nAnswer: 0.786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/14 - (-219)\/21. What is the highest common divisor of 6 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 231 + -157. Let x = d + -72.99. Round x to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 203*q + 3021. Is 80 a factor of k(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 + 20*k**2 + 9*k + 84. What is u(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2564 - -2565. Let h = -4.13 - -5. Let y = h - m. Which is greater: y or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 2*c**2 - c**2)*(8 - 344*c + 345*c - 32 - 7*c**2).\nAnswer: 14*c**4 - 2*c**3 + 48*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/47, 0.05, 3, -0.3 in decreasing order.\nAnswer: 3, 0.05, -4\/47, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 6) to base 4\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 148 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*m + 4*m = 836, -5*t = -2*m + 833. Let l = 298 + t. Let a = -70 + l. Calculate the remainder when a is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**5 - 5*l**5 + 4*l**5)*(4 - 2 - 4) - 3*l**5 + 3*l**5 + 5*l**5 + 8*l - 8*l - 5*l**5.\nAnswer: 2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113 - -115. Solve -b = 2*i + 2, -o*b - 1 = -0*b + 3*i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35321211 + -151?\nAnswer: 35321020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*b + 83097, 53*b - 51*b - 5*i = 33248. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k. Let s(i) be the first derivative of -15 - 11\/2*i**2 + 0*i. Give s(m(q)).\nAnswer: 33*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*q**3 - 2*q**2 - 12*q**2 + 11*q + q**4 - 3 - 50*q**5 + 49*q**5.\nAnswer: -(q - 1)**4*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*g - 3*i, -i - 4*i - 10 = 0. Let n = 1 + g. Suppose -4*w + 56 + 32 = n. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3028 = 3*m, 138*k - 5064 = 5*m + 142*k. Put 5, 3, m, -3 in descending order.\nAnswer: 5, 3, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3) - 56\/12. Find the common denominator of -99\/14 and y\/(-6) + 111\/(-126).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 44 = -3. Suppose i = 2*i - s. Let b be 1\/6 - 7\/(-5 + i). Solve v + 0*v - 5 = b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32931, -5\/3, -1\/3, 3 in ascending order.\nAnswer: -32931, -5\/3, -1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbxxxttxyqxttx. Give prob of sequence xxb.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2189892 and 14.\nAnswer: 15329244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14917457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-96)\/16 + 105 + 1 - 2. Let a be ((-8)\/10)\/(z\/(-245)). Solve 4*i - d = 5*i + 7, 0 = a*d + 8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82812*c - 82686*c = 14490 for c.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -552, -3, -10, 1, 18, -1 in descending order.\nAnswer: 18, 1, -1, -3, -10, -552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 2:56 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h - 26500000 = 0. Suppose 5*p + 0*p = h. Round p to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-32) + 4)*16\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.38.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 + 80. Suppose 11*n = 13*n + o. What are the prime factors of -3 - 14\/n - 366\/(-9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*q - 4 = 0. Let z(u) be the first derivative of u**2\/2 + 299. Let g(y) = -2. What is q*z(h) - g(h)?\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*s - 11*s**3 + 77*s + 80*s.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 37905*i**2 - 1409330*i.\nAnswer: 5*i*(i - 7618)*(i + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(2\/43)*x)\/x)\/((x*x**1)\/x))\/((x*x\/x**(-20\/9)*x)\/(x*x\/(x*(x\/(x*x**(-15)*x))\/x))) assuming x is positive.\nAnswer: x**(-6647\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12 - -3)*1 - 2. Let d = 13 + v. Let w = 0.1 + -0.1. Which is the nearest to w? (a) d (b) -5 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -671 + 4274. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101001*c = -100927*c + 2146 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 51, -40, 11 in descending order.\nAnswer: 51, 11, 3, 1, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + 2*m - 2*m)*(4335 + 4994 + 512) in the form b*m + i and give b.\nAnswer: -9841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 209757184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 6*m - 4. Let f be o(-2). Find y, given that 60\/7*y**3 - 50\/7*y**f - 6\/7*y**2 + 0 - 4\/7*y = 0.\nAnswer: -1\/5, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j + 2. Let h(l) = 2 + 4 - 11 - l + 4. Determine -2*h(y) - m(y).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 27*g - 36. Let i(z) = -z + 1. What is -36*i(j) - y(j)?\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 152 or 10836?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13389*j - 20736 = -27722*j + 13685*j for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 260606 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 10:04 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**5\/20 + 13*z**3\/6 - 16*z**2. Let u(j) be the first derivative of t(j). Let p(i) = 3*i**2. Give u(p(k)).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 - 3*y**2 - 13135*y + 13135*y + 6 as g + s*y**3 + p*y + c*y**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 5*z + 176, -4*z = 4*i + 42 - 282. List the prime factors of i.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 5*i - 3702 + 3732 = 0, -9 = -2*u - i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -45. Let y be (244\/(-3))\/((-4)\/x). What is y rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b69 (base 16) to base 7\nAnswer: -11342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 5:44 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and 5.35.\nAnswer: -0.0535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -135.03 + 1.\nAnswer: -134.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4322741383 to the power of 1\/2, to the nearest integer?\nAnswer: 65748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.32 + -0.32. Sort s, 3\/5, -14, -1\/4 in ascending order.\nAnswer: -14, -1\/4, 3\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 82690, 83224, 83758, 84292, 84826?\n\"Answer: 534*s + 82156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**3\/9 - 14*t**2\/3 + 29*t\/3 + 110. Factor a(k).\nAnswer: -(k - 1)*(k + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0826 + 3249.2826. Round m to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 116 = -4*h + 43, 5*h - 4*j = -86. Let a = h - -21. What is the remainder when 6 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 777 - -3?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1 + 369*v**2 - 1 - 378*v**2. Let r be (-46)\/(-8) + (-9)\/(-36). Let c = 5 - r. Give b(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -563 + 797. Suppose -3*d = i - 240. Solve 0 = d*x + 3*x - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 3*b = 1008. Suppose 3*y - 152 = -c, 9*y - 4*y + 3*c = b. Is 17 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*a + 15*a + 78*a - 32*a**2 wrt a?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/27711 or -1?\nAnswer: -2\/27711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*-2*(-18 - -16). Suppose -m = c - 5*c. Suppose 3*b + 2*i + 19 = 4*b, 0 = 5*b - 4*i - 65. Solve 3*z - 1 = -h - 6, 5*z + b = -c*h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at least -2725688?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -1756\/2865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 119*s**3 + 3*s + 213*s**3 + 2*s.\nAnswer: 94*s**3 + 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b + 32*b + 2*j = -12928, -b + 2*j + 4304 = 0. Does 56 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*q - 60*q = -287 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z + 19*z - 11*z + 11*z to the form m*z + j and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.74 take away -262?\nAnswer: 251.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1467 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 122736*b**2 + 8*b - 490944.\nAnswer: -2*(b - 61368)*(b - 2)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.19, 2\/7, -54, -0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 - 3 = -z, -2*m - 3*z + 13 = 0. Let q = m - 2. Is 1 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -12, -1, 12, 27?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, e: 2, f: 1, b: 1, l: 1}. What is prob of picking 1 b and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 103 - 97004?\nAnswer: -96a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 9 = 41. Let q = j + 17. Let g(i) = -5*i + 141. Let b be g(29). Sort -3, 0, b, q.\nAnswer: b, -3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1171835, -1171821, -1171807, -1171793, -1171779?\n\"Answer: 14*l - 1171849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -77, 0.2, 0.4, 1\/4, 18\/7, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o + 1. Let s = -4 + 7. Suppose -u + s = 4. What is z(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, x: 1, l: 1, p: 6, s: 1, t: 1}. Give prob of sequence pgpp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1918*w - 1924*w = -151632. What are the prime factors of w?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1315 (base 8) to base 7.\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 280*r - 276*r - 4, -4*d = -4*r - 9136. What is the remainder when d is divided by 255?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) 0.37 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 12*i - 5. Let a be y(8). Let w = a - 25. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, j: 3, z: 3, o: 1}. What is prob of picking 1 o, 2 z, and 1 j?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 10:40 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -482, -483, -484?\n\"Answer: -b - 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u = u - 440. What is the remainder when u is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 849 divide 124477833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -44496, -44501, -44508, -44517?\n\"Answer: -u**2 - 2*u - 44493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((0 + sqrt(700))*3 - (sqrt(700) + (sqrt(700) - sqrt(700)*-2))*-1 - (-4 + (sqrt(700)*-2 + sqrt(700) + sqrt(700))*4)*-4))**2 + 5.\nAnswer: -2660*sqrt(7) + 34666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-four fifths of a meter?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82798897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391479 is divided by 290?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**28\/(x\/x**4*x\/(x*x**(2\/9))))**(-2\/27) assuming x is positive.\nAnswer: x**(446\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 8*u**2 - 3*u - 6. Let j be b(9). Suppose -j = 3*x + 42. Let w be -2*3\/18*x. What is the highest common factor of 40 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9115*b + 9091*b + 480. Let c = 8 - 3. Solve d - c*d = b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116 + -32 + 9 - 110\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -438*m**4 + 1515*m - 180755 wrt m?\nAnswer: -1752*m**3 + 1515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7233414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (100\/(-15))\/(-4)*4\/10. What is the second biggest value in 2, -4, -14, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a + -5830?\nAnswer: -585a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r - 3. Let a(p) = -4 + 11 - p + 0 - 6*p. Calculate -2*a(l) - 5*n(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/((-16)\/(-84))*-1. Calculate the greatest common factor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -75 (b) -0.1 (c) -15 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 485795239?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851.\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240520043 (base 6) to base 16.\nAnswer: -44fa1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = 5*x + 290. Suppose -34*v = -x*v. Solve v*o + o = -0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -2 + 3 + -3 + 6. Find the second derivative of 22*j**q + 1 + j + 2 - 22*j**3 + 47*j**5 wrt j.\nAnswer: 940*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 3*c - 16*c**2 + 7 - 3 + 9*c. Let r(o) = -2*o**2 + 45*o + 198. Let t be r(26). Is 20 a factor of f(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = -c, -15*o + 2*c = -18*o + 6. Solve 5*l - o*v + 7 - 20 = 0, 2*l - 11 = -5*v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1026 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 1:27 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-43 + 75 - 39) + 1 + -22.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/10 + 0)\/((-768)\/(-960))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2513166 to the power of 1\/2, to the nearest integer?\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*j**2*r*y - 17*j**2*y + 100*j**2 + r*y wrt r.\nAnswer: 20*j**2*y + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 9482.481 milliseconds?\nAnswer: 0.0001097509375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**4 + 488*l**3 + 101636*l**2 - 208968*l - 820512 = 0. What is l?\nAnswer: -111, -2, 4, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/19 (b) -2 (c) 5\/2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 11*o**2 - 9*o - 10. Let z be a(10). Suppose -3*w - 13 + 67 = z. Calculate the remainder when (5\/1)\/(12\/84) is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*h - 64 - 160. Let u = h - -62. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -4. Let o = 411 + -288. Let c = -495\/4 + o. Put c, z, -4 in descending order.\nAnswer: c, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*z**2 - 184*z**2 + 2 - 6*z + 69*z**2 - 132*z**2.\nAnswer: -217*z**2 - 6*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t**3 - 4 - 7 + 11.\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006 a factor of 667921772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = y - 9, -2*r + y + 3 = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*m + 15 = 0, 3*m - m + 6 = 0. Factor k + 0*c - 4\/9*c**3 + 0*c**2 + 2\/9*c**4.\nAnswer: 2*c**3*(c - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 - 4*a - 7*a + a + 0*a + (a - 6*a + 4*a)*(1 + 2 - 1) + 0 + a + 0 + 3*a + 2*a - 3*a - a + 2*a - 3*a in the form l + p*a and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x. Let n(s) = -361*s - 21047. Determine n(o(w)).\nAnswer: 722*w - 21047","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 - 11 + 50*f**2 - 16 to l*f**2 + b*f + n and give l.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (2 - (-3 + 2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3432343 (base 5) to base 4.\nAnswer: -33002132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -10, 7 in increasing order.\nAnswer: -15, -10, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000814896 rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5710?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -546.\nAnswer: -2\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.66 - -0.14. Let r = 5 + -2. Let o = i - r. Which is the closest to o? (a) -5 (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 1:21 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/30)\/(((-20)\/24)\/(-5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -613697, -1227377, -1841035, -2454659, -3068237, -3681757?\n\"Answer: 2*u**3 - u**2 - 613691*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -24*(-14)\/(1232\/33)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13899 plus 167088?\nAnswer: 153189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a factor of 153218331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 27*h - 434. Determine i(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 - 1. Let k be n(1). Let c = 1 + k. Sort c, -0.2, -5.\nAnswer: -5, c, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1382 - 1382.00679. Round f to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -550364 divided by -4?\nAnswer: 137591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 3127170548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j + 6. Let r(u) = -u**3 + 2*u**2 + 4. Let n be r(3). Let t be (n - (-2 - -1))*1. Let m be o(t). What is m rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-2) + -4)*(-2784)\/84. Which is greater: 107 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37837292*a**2 + 1461*a + 2226?\nAnswer: 75674584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 861, 6959, 23511, 55743, 108881?\nAnswer: 188151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -47, -0.0959, -0.3?\nAnswer: -0.0959","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12735640 is divided by 72775.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -13*j**3 + 21*j**2 + 19*j + 25. Let n(i) = 7*i**3 - 11*i**2 - 10*i - 13. Let h(c) = -11*n(c) - 6*t(c). Let o be h(6). Solve o*s + 15 = -0*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12198.84694 - -12188.65. Let b = 10.2 + r. Round b to four dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3639302 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -27986 divided by -24\nAnswer: 13993\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21142, 21271, 21400?\n\"Answer: 129*u + 21013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 301*q + 13 - 18 - 8 to the form t + s*q and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**2 - 119*t - 17. Calculate o(30).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20 + (1 - (2 + -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, l: 9}. Give prob of sequence uulu.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 11:28 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4354 + 102*m**4 + 32938*m**3 + 3*m**5 + 13440*m - 5784*m**2 - 5246 - 32422*m**3.\nAnswer: 3*(m - 2)**3*(m + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 4\/5, -5, 2, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1981 in 4, -41, -4?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 17. Suppose a + k*h - 2084 = 0, 5 = -h + 2. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187911*a**2 + 375837*a**2 - 187928*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -427*t**2. Let i(p) = 47174*p**2. Calculate g(i(v)).\nAnswer: -950239939852*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/198 - -14*(-386)\/44. Round m to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -451755 - -11?\nAnswer: -451744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(-2 - -1) - 4. Let p be (-15)\/f - (-3)\/12. Let u(c) = -c**2 + 10*c - 12. Let b be u(8). Solve 3*j + j - 4 = -3*q, 0 = -p*j + 5*q + b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 31. What is the tens digit of 1 - w\/(-2)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2\/3 + 4218*x + 50600\/3 = 0. Calculate x.\nAnswer: -12650, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*i**4 - 98*i**3 - 2*i**2 + 21273*i?\nAnswer: 132*i**2 - 588*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/495 and -49\/11?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 4*o + 5. Let m be h(-4). Suppose 2*f - 877 = m*t, 5*f - 3*f - t = 857. Suppose 2*s - 8*s + f = 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115305, -230588, -345851, -461094, -576317, -691520?\nAnswer: -806703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4)\/(150\/(-200))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17961 + -17965. What is the closest to -2\/135 in 0, 0.26, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -67 (b) -1 (c) -1\/3 (d) 1\/3 (e) 30.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13.3506 times 0.2\nAnswer: 2.67012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -986264 + 986264 - 255*s**3.\nAnswer: -255*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*f + 1384 = -574 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*y + 695 = -5*y, -5*y - 25 = 0. Suppose -4*x + 670 = -5*z, -6*z - a = -5*z - 3*x. List the prime factors of -1 + -1 - z - 0.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 + 53. Suppose -285 = -11*d + f*d. List the prime factors of d.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.72 - -6.72. What is the closest to 1 in v, -25\/2, -2, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*20*12\/(-48). Calculate the greatest common factor of 95 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 512068748*o**2 + 838678977*o?\nAnswer: 1024137496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14363 is divided by 373.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 - 25*h**2 - 45*h - 859. Give n(17).\nAnswer: 977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 4*o - 20. Let p(m) = 18*m + 6 - 21*m - 3*m**2 - o + m**3. Calculate p(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 - -123. Let x = t - 33. Suppose 145 = 99*r - 1043. What is the smallest common multiple of x and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*c - 44 = -24*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-43)\/(-42) + -1 + (-23)\/(-161)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q**2\/9 - 36770*q\/3 - 10028\/9 = 0. Calculate q.\nAnswer: -5014, -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30.83 in -4\/5, -4, -5, 2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - 2\/6*3. What is the remainder when 24 is divided by p\/(-3*1)*13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5 + 6 - 2 + 1 - z**2. Let p(a) = 121*a**2. Give t(p(h)).\nAnswer: -14641*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (13 - 15 - (-7)\/(-5)) + 4. Sort o, 1\/11, -2.\nAnswer: -2, 1\/11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -17*d + 7. Let t(u) = -u + 1. Calculate -a(h) + 6*t(h).\nAnswer: 11*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 + 120. Calculate the common denominator of -83\/4 and (582\/(-4) - -2)*3\/s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-55*k + 13*k - 152*k)*(4*k + k + 0*k) + 3*k + 2*k**2 - 3*k)*(-k - 3*k + 2*k)*(6 - 2*k - 1 - 4).\nAnswer: -3872*k**4 + 1936*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4850867 + 99*f**2 + 4850867.\nAnswer: 99*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a958 - -3?\nAnswer: a95b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 2*v - 3. Let l be a(-2). Suppose 0 = -4*y + 3 + l. Suppose 4*g = o - y*o, 0 = -5*o - 4*g. Let u(w) = w - 6. Give u(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*a = 0. Suppose -864 = -6*b - a*b. Suppose 2*l = 5*l - b. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201200112 (base 3) in base 10?\nAnswer: -14351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 15. Let v be ((n - -1) + 2)*-1. Solve v*s - 4*s = -8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = n - 0*l - 42, 4*n - 168 = 2*l. Let w = -35 + n. Calculate the remainder when ((-4)\/(-6))\/((-4)\/(-114)) is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**5*o*o*o**0)**(2\/83)*(o**(-2)\/(o\/(o**(-4)*o)))\/((o\/(o**4\/o))\/o**2) assuming o is positive.\nAnswer: o**(-150\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + (-10)\/(-8))*(-2528)\/3160. What is the fourth biggest value in -3.8, -4, l, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.046109938 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2169 - 2969. Calculate the lowest common multiple of q and 140.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -66*v**2 + 5*v. Let q(i) = -1155*i**2 + 88*i. Give 5*q(h) - 88*s(h).\nAnswer: 33*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -143*y**2 - 5*y - 2. Let n(x) = 287*x**2 + 11*x + 4. What is -9*l(m) - 4*n(m)?\nAnswer: 139*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.2 - 2.8. Let o = -93227\/11 + 8475. Let k = -32 - -193\/6. Sort o, k, c, 2 in descending order.\nAnswer: 2, k, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 569 divide 229427059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 365 - 2559\/7. Let w be ((-156)\/117)\/(-26*(-1)\/(-33)). Let l = -83\/26 + w. Sort 1, l, j in descending order.\nAnswer: 1, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 111*a = 2168152. What are the prime factors of a?\nAnswer: 2, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141 + 20 + 56 + 65 + 2*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**4\/15 + 752*s**3\/15 - 10222*s**2\/3 + 118432*s\/5 + 27144 = 0.\nAnswer: -1, 9, 78, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37360*j + 69 = 5*i + 37357*j + 49 - 108, 175 = 11*i - 4*j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m = 0. Suppose m = -3*g - 2 + 8. Suppose g*r + 2*r = 264. Does 28 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 4. Let w(n) = 21*n**3 + 1. Let u be w(g). What is the units digit of (230\/u)\/(1\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -67*g + 245. What is t(4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + 2 + 0)*(-223)\/9812\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006776756 rounded to five dps?\nAnswer: -0.00678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166 (base 9) to base 16.\nAnswer: 8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004283093 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q. Let y(m) = -42*m. Let c(d) = 35*b(d) - y(d). Let i(l) = 16*l**2. Give c(i(o)).\nAnswer: 112*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/972 and -17\/228.\nAnswer: 18468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1960 or -251626?\nAnswer: -251626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - 13*k + 5. Let h be (2 + 0)*35\/10. Let u be q(h). Find the third derivative of -6*m**4 - 4*m**4 - u*m**2 + 0*m**4 wrt m.\nAnswer: -240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) -30\/7 (c) -0.3 (d) 0.2 (e) -14\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 11:58 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4285 divided by -5?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -177*f**3 - 7*f**2 - 3*f + 7. Let s be t(13). Let p = -188084 - s. Round p to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24883 - 24883.2. Let r = 5.11 + -0.11. Let x = -297 - -3265\/11. Sort r, x, p in increasing order.\nAnswer: p, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -14*n + 355. Let h(q) = -17*q - 1. What is -c(t) + h(t)?\nAnswer: -3*t - 356","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-22 - -2)) + -8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (-8)\/4 + 1. Suppose 2*r + 3*m - 75 = 0, 2*m = -f*r - 0*m + 100. Let o = r - 121\/4. Which is the closest to 0? (a) o (b) 1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h**3 + 5*h**2 + 11*h + 15. Let l(p) = 3*p**3 - 5*p**2 - 10*p - 14. Let g(k) = -5*l(k) - 4*z(k). Let o be g(-4). Solve 0 = -2*x - o*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -70. List the prime factors of m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k - 12. Let u(f) = 2*f - 11. Let t(z) = 4*u(z) - 3*v(z). Determine t(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 5. Suppose 2*f = y*f + 5*h - 22, f - 4 = -5*h. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68179 or 68168?\nAnswer: 68179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2 - 2*t - 8*t**2 + 21*t**2 + 8 - t**3 - 9*t**2. Let j be s(4). Which is the smallest value? (a) 0 (b) -25 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 372936?\nAnswer: 372936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159 + 155 = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (0 + 1) - (-122 + (149 - 48)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-8)*(643168\/1791)\/101?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 699, 704, 709, 714?\nAnswer: 719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/36*(-4)\/(-8)*-2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -7*u**3\/2 + 5*u**2\/2 + 23*u. Let h(k) = -4*k + 1. Determine 11*h(b) - 2*y(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 212372622 to the power of 1\/2, to the nearest integer?\nAnswer: 14573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -271.5 - -271.7. Put w, -0.3, 2\/9, -5\/8, -1\/5 in descending order.\nAnswer: 2\/9, w, -1\/5, -0.3, -5\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -1837*g - 8. What are the prime factors of w(-11)?\nAnswer: 3, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 12 = -5*m, 2*m = 2*a. Let n(u) = -7*u - 2*u + u - a + u. Is n(-6) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-6))\/(6\/8). Let s be (0 - 0) + g\/3. Let q be (-3)\/(-4)*(-2 + -2). What is the second smallest value in q, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**3 - 3*o**2 - 8*o - 10. Let v be b(5). Calculate the greatest common factor of 75 and v.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1 + (sqrt(68)*-2 + sqrt(68))*3)**2 + 0).\nAnswer: 12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -14. Let u(g) = -5*g**3 - g**2 + 3*g**3 + 3*g**3 + 5 + g. What is the remainder when u(n) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 9:31 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from {c: 3, h: 2, o: 1, b: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 7 - 14 + 6*h**3 + 0*h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1581 + -1591.13. Let s = -10.1300421 - o. Round s to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30226 and 1179579.\nAnswer: 2097291462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4. Let b = 24.95 + -22.6. Let z = b + -6.35. What is the closest to -7\/3 in z, l, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 15) to base 2\nAnswer: -100000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -11*s - 134 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 3 - 3 + 2*s - 7 to z + c*s and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*-2*1)\/(2*sqrt(396)).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3531*d**2 - 2*d. Let r be a(8). What is r rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**4\/5 + 12*o**3\/5 + 4*o**2 - 12*o\/5 - 16\/5 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d*u**4 + 2*d*u**3 - 54*d*u**2 + 9*d*u + 3*d - 25172*u**3 wrt u?\nAnswer: 48*d*u + 12*d - 151032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -22555025?\nAnswer: 22555023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -13 + (-16 - -2 - -14) + 7 - 67?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 3 + 3 - (4 - 25 - 16)) + -5.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 10:11 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 41*w**3\/6 - 289*w**2\/2 + 5352*w. Give a(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxsx when four letters picked without replacement from {x: 10, s: 9}?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = -14*g - 58. Suppose 2*j + 2*f + 16 - g = 0, 5*f = -2*j + 57. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zynp when four letters picked without replacement from wwnznpbbnnnwnnbnynn.\nAnswer: 5\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/8, -10, 2\/31?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 4*z**2 - 4*z - 4. Let b be 16\/(-6) - 2\/6. Let u be -2 + -2 - (b + 3). Let p(y) = y**3 - 5*y**2 - 5*y - 5. Give u*p(i) + 5*n(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.48 bigger than -86\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-2)*4)\/2. Suppose -t + 3*b + p = 0, -5*t + 5*b + 4 = -t. Let x be t + 47*(-1 + 2). Calculate the highest common divisor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 270 + -254. Which is the second smallest value? (a) -1 (b) t (c) -0.5 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1259*q. Let v(g) = -1087*g. Determine v(i(o)).\nAnswer: 1368533*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*b = -2, 3 = x + 2*x + 3*b. Let u(t) = t - 3 + 3*t - t. What is u(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2. Let c(q) be the third derivative of 7*q**6\/360 - q**5\/40 + 13*q**3 - q**2 - q. Let b(z) be the first derivative of c(z). Calculate b(o(v)).\nAnswer: 28*v**4 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.7. Let a = o + -7.5. Let l = -8.0000003 - a. Round l to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/2 - -1*13. Let o(f) = -2972*f + f**2 - 5 + 5934*f - 2974*f. Let t be o(q). Solve -4*v - t = -2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1. Let t(d) = -2*d + 17. Let p(v) = -6*o(v) - t(v). What is the remainder when 53 is divided by p(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62722*-30.1\nAnswer: 1887932.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 + (66 - 21) + -36?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1\/3, -0.3, 2376?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7123 + 25035. Round w to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/16 and 29\/2779003872.\nAnswer: 2779003872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence miw when three letters picked without replacement from {r: 4, d: 2, w: 4, i: 4, m: 5, x: 1}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + p**2 - 5*p**3 - 32464*p + 32464*p.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 3*c + 27*c - 2*c - 33*c + 4, -t = 3*c - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/39209 or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*t = -124*t + 4*g + 988, -5*t - 5*g = -1015. What is the lowest common multiple of t and 150?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 - 53. Suppose m*x - 68 = 32. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 10*o + 11. Let v be i(11). Suppose v = -2*r + r + 7. Let d = 13 - r. Solve 0 = q - d*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311576?\nAnswer: 2, 17, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + (1 + sqrt(425) + -4 - -5*(sqrt(425) + 3 - sqrt(425))) + -4)**2.\nAnswer: 90*sqrt(17) + 506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-7)\/(a**(3\/5)*a*a)*(a**(-1)\/a)**(-1\/7) assuming a is positive.\nAnswer: a**(-326\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*b**3*q - 170926*b**3 - 133*q**2 + 9*q wrt q?\nAnswer: 7*b**3 - 266*q + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(12)*-1) + -4 - (sqrt(432) + (sqrt(432) - (sqrt(432) + 1 + sqrt(432) + 2))))**2.\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/8 of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 1. Let m be y(-11). Let x = m + -7. What is the lowest common multiple of 9 and (8\/2)\/4*4*x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - -793bc?\nAnswer: 793c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*j - 139. Calculate the least common multiple of 18 and j.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4\/5 - 234*k**3\/5 - 1392*k**2 - 6728*k\/5.\nAnswer: -2*k*(k + 1)*(k + 58)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -63262.9 * -2518\nAnswer: 159295982.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2 - 27*k + 141. What is n(9)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68 and 130528.\nAnswer: 2218976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 703906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-40)\/55)\/((-1)\/11). Find n such that -1\/3*n**5 - 14\/3*n**3 - l*n + 2\/3 + 16\/3*n**2 + 2*n**4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*f**4 + 2*f**3 - 8*f**4 + 3*f**4 - 38*f**2 + 12*f**2 to u*f**3 + g + y*f**2 + o*f**4 + m*f and give y.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-12)\/k)\/(k\/k**2) assuming k is positive.\nAnswer: k**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2067 + 624. Let c = b - -30224\/21. Find the common denominator of c and -139\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-482 - 80*i + 482)*(i**3 + 8*i**3 - 3*i**3).\nAnswer: -480*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*i + 23*i + 460. What is the smallest common multiple of i and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 8. Let c be m(-13). Let x be -2 + 2 - (-10 - (4 - c)). Calculate the greatest common divisor of x and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11090883235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/4)\/((-44)\/(-88)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4030 divided by -403.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -829*x**6\/30 + 1614*x**2 + 826*x. Differentiate o(p) with respect to p.\nAnswer: -3316*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7\/25 - 27\/275. What is the closest to 1 in v, 2\/17, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5488 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12627359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-2346)\/544)\/(-69))\/((-2)\/16*-2). Factor 29\/4*b**2 - 39\/4*b - 9\/4*b**3 + 9\/2 + n*b**4.\nAnswer: (b - 3)**2*(b - 2)*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 + 115. Suppose 2*p = -0*p + 46. What is the highest common factor of k and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 4*l + 13. Let f(a) = 0*a - 4*a + 2*a + 0 - a**2 - 6. Let w(t) = -5*f(t) - 2*x(t). Is w(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -288909, -288904, -288891, -288870, -288841?\nAnswer: -288804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 80 - 168 = -5*c - 84, -3*c + 10*p - 6 + 10 = 6*p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s + 40*s + 225 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 872 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1903470772.5 plus 3601?\nAnswer: 1903474373.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 9:00 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4 = -2*z - 10, -2*z + 4*j + 14 = 0. Which is the closest to z? (a) -1 (b) 2 (c) 65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-810)\/(-4)*(-40)\/50. Let h = -20 - q. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*k*l*r**2 + 6*k*l*r + 2*k*r**2 - 2*k - 2446*l*r**2 + 3*r**2 with respect to k.\nAnswer: 5*l*r**2 + 6*l*r + 2*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111111 + 11?\nAnswer: 1110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnqq when four letters picked without replacement from {s: 5, h: 1, q: 4, k: 5, n: 2, t: 3}.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2\/13, -1\/4, -5\/12, 15, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 435116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 2147?\nAnswer: 23617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 30547507?\nAnswer: -274927563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000534297 to six dps.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + sqrt(49)\/(sqrt(7) + sqrt(448)*-1))**2.\nAnswer: -1056\/7 + 60*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9 - ((-6)\/(-8))\/((-252)\/(-192))*14. Let l(m) = m**2 + 14*m + 12. Calculate l(k).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 710935 * 543\nAnswer: 386037705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 4. Let c be y(-6). Suppose -c*f = -f - 14. List the prime factors of 38\/f + (-2)\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 8*a**3 + 1. Let y(q) = -5169*q**4 - 72*q**3 - 2614. Let v(g) = -9*d(g) - y(g). Differentiate v(j) wrt j.\nAnswer: 20676*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*w = -85588, 14*w + 106985 = 5*z + 9*w. What are the prime factors of z?\nAnswer: 21397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 15 + -4 - (-8 - 2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248430179 is divided by 121?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1258 and 805834.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -100100010?\nAnswer: -100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 13. Which is the biggest value? (a) 0 (b) d (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484534 - 156558 = -3727*f for f.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -799 times -80\nAnswer: 63920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -1 (c) -8 (d) -0.378\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w + 5. Suppose 12*c = 6*c + 30. Calculate p(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.066945731 - 3\nAnswer: -2.933054269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 826830697?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 26 (b) 1\/7 (c) -2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 3*g**2 + 0*g**2)*(-7 - 1 + 2)*(-3 - 1 + 2)*(3 - 6 + 1).\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r*r**(-10))\/r)\/r)\/r*r*r**(1\/11))**(-23\/3))**(34\/5) assuming r is positive.\nAnswer: r**(6256\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -5.15 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 8:51 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 14*i - 41. Let j be p(-7). Suppose j*z = 4*z + 196. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 2. Let t = -21.3 - -22. Let o = t + -4.7. What is the nearest to 2\/5 in -2, u, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1880 = 5*c, -3*c + 846 = 5*u - 251. Let i = c + -233. What are the prime factors of i?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 31*k + 251. Give u(-9).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 91, 94, 107, 136, 187, 266, 379, 532?\n\"Answer: i**3 - i**2 - i + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 3*h + 4*j, 2*j = 2687*h - 2686*h + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a + 40 = 7*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**5 + 2*p**5 - 4*p**5)*(-6 + 4 - 5).\nAnswer: -14*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 30 - 8)*(d + d**4 - d + d).\nAnswer: 17*d**4 + 17*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 - 60. Suppose g*p + 13 = 33. Suppose p*t + 12 = -5*o, -2*t - 2*o = -6*t + 16. Solve 4*d + 2*z = -4, -z - 6 = t*d + 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3606250*c = 3606272*c + 484 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*g + 28 = 6*g, 4*h + 2*g - 84 = 0. Suppose 48 = 4*c + h. Suppose 6*t = 3*t + 57. What is the remainder when t is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -771 = -5*y + 374. What are the prime factors of y?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*(sqrt(70) + 2*sqrt(70)) + sqrt(70))\/(sqrt(360) + sqrt(360)*-2 + sqrt(360) + sqrt(360) - sqrt(10)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 + g + 11. Let u be q(-5). Suppose -54 = 11*n + u. Let j be (-49)\/(-5) - 2\/n. Solve 6*o + j = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14830451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 + 143*i - 809. Give c(-77).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6*j**3 - 2*j - 1. Let q(t) = t**3 + 4*t**2 - t. Let d be q(-4). Suppose 4*r + 15 = -d*l + l, 4*l - r + 1 = 0. What is the units digit of g(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/8, 3\/8, -12\/5, 2\/1739, -1\/6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26157 - -13?\nAnswer: -26144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o**2 - 30*o**2 + 27*o**2.\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r - 66 = 2*z, -39 = -2*r + 5*z. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2815.898 to the nearest 10.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23715 and 352470.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**3 + m**3 + 3*m**3 + (0 + 4 - 3)*(2*m**3 + 4*m**3 - 2*m**3).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156, 1, -4\/5, -3, 2\/3, 187.\nAnswer: -156, -3, -4\/5, 2\/3, 1, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -4\/5 (b) 5 (c) -5\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3264) + sqrt(204)*1)\/((3*(sqrt(432) - (sqrt(432) + sqrt(432)*2 + sqrt(432))) - sqrt(432) - sqrt(432))*5).\nAnswer: 7*sqrt(17)\/330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*s**2 + 2*s**3 + 336*s + 196*s - 532*s.\nAnswer: 2*s**3 - 27*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 - -81. What is the biggest value in -0.1, 3, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -165354*f - 992186. What is s(-6)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 506, 0, -47, -13 in decreasing order.\nAnswer: 506, 2, 0, -13, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 326 - 557. Let j = 264 + c. Calculate the highest common factor of 33 and j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*y**2 - 153*y**2 + 816*y**2 - 131*y**2 + 643*y**2 in the form h + x*y + m*y**2 and give m.\nAnswer: 1098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 7. Let z be (r*-1)\/((-7)\/28). Let s(n) = -4*n + 74. Let i be s(17). Solve 5*t - i*t = -z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7003 is divided by 102.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 914647 is divided by 235?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 6*g + 6*g)*(0 - 4 + 0) + 4*g - 2*g - 3*g + (-1 + 2 + 1)*(-13*g + 0*g + 4*g).\nAnswer: -43*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*n = -8, -5*n = -0*n - 25. Let y be (a\/(-5))\/(2 + (-122)\/60). What is the first derivative of -4 + 1 + d**2 - y + 20*d**2 wrt d?\nAnswer: 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 997*a**3 - 246*a**4 + 992*a**3 - 1989*a**3 + 3*a**4 - 2*a**4 + 0*a**4 + (1 - 1 - 2)*(3*a**4 - 3*a**4 - 2*a**4) + 3*a**4 + 0*a**4 - 2*a**4.\nAnswer: -240*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2545 - -0.3245. Sort 74, b, 3 in decreasing order.\nAnswer: 74, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -10*o - 5. What is p(-15)?\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/16)*l*l**13\/l)**(19\/2) assuming l is positive.\nAnswer: l**(4275\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*6\/(-40)*(-11 - -6). Suppose -2 = 3*d - 4*d. Let i be 2\/(-5)*d\/4. What is the third smallest value in i, -0.3, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(-f + 2*f - 2*f) - 5 - 5*f + 5 + (-3*f + 2*f + 2*f)*(1 + 0 + 1).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*w - 84*w - 8. Differentiate 6*y**2 - y**2 - 3*y**w - 8 with respect to y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 648 and 4455.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*o + 417 - 348. Which is greater: 3\/242 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 675 - 4729\/7. What is the second biggest value in 4, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**4\/20 + 42*m**3\/5 - 2646*m**2\/5 + 86*m - 22. Let n(s) be the first derivative of l(s). Let n(z) = 0. What is z?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-3*m + 3*m - 2*m) + (-12 + 12 + 10*m)*(0 - 1 + 2).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 9*j - 5. Suppose 4*i + 4 = 3*o, -5*i + 707*o = 712*o - 30. Determine c(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -109.\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1319*0.0219.\nAnswer: 28.8861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1169*a - 5842. Give p(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u. Let v(g) = 5531*g - 4. Let t(q) = -1581932*q + 1145. Let b(n) = 4*t(n) + 1145*v(n). What is b(k(z))?\nAnswer: 10534*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282560*q + 3*a + 11 = -282561*q, 89 = -4*q + 3*a for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11618)\/(-2669))\/(2\/(-17))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) 2 (c) 5\/12 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -10, 0.5, -78, 0.1, -3\/31 in descending order.\nAnswer: 0.5, 0.1, -3\/31, -10, -13, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 796785.9ug in kilograms?\nAnswer: 0.0007967859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 + 5508\/9 - -2 and 20?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*m + 19*m - 150876. Is m a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u + u + u)*(-13 + 16*u + 13 + (-u + 3 - 3)*(0 + 0 - 5)) in the form y + k*u**2 + i*u and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**4*t)**(-31)*t**(-20)*t*t**(15\/7)\/t*t)**(11\/5) assuming t is positive.\nAnswer: t**(3476\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u = -17*u + 1. Let h be (-4)\/(3 + u)*(2 + -2). Solve -8*n - 22 + 54 = h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24004.0500128 - -24004. Let i = r - -0.05. Round i to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**4 + 9*y**4 - 2*y**4 + (0*y + 2*y**2 + 0*y)*(4*y**2 - 5*y**2 - y**2) + 2*y**4 + 0*y**2 + 0*y**2.\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -984 = 80*x + 136 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*k**2 - 1 - 63*k**2 + 5 - 636*k**2 + 4 - 7.\nAnswer: -762*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(1*sqrt(2)) - sqrt(5)) + (sqrt(5) - (sqrt(40)\/sqrt(4))\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 0*g**5 + 1\/36*g**4 - g**3 - 1\/540*g**6 + 0*g + 0 - 5*g**2. Let r(k) be the first derivative of o(k). Factor r(j).\nAnswer: -2*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 154661?\nAnswer: 154661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000145 rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**4\/12 - p**3\/6 + 2*p**2 - 25*p - 153. Suppose -3*o - 36 = -0*o. Let y(z) = -1. Determine o*y(c) - 3*h(c).\nAnswer: -3*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 9.5. Let d = 1 + y. Let m = 0.33 + 0.07. Which is the biggest value? (a) d (b) m (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30919 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 133\/(-38)*((-39)\/(-42) + -1). Which is the closest to m? (a) 28 (b) 0 (c) 5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 3*m**2 + 2*m**2 - 2*m**2 - 2*m**2 to h*m + u*m**2 + f and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1560373\/64 + -24382. Calculate the common denominator of f and -133\/24.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -362 - -413. Differentiate 9*f**3 + 3*f**3 + 13 + 105*f**3 - y with respect to f.\nAnswer: 351*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f + 6. Let l be w(-2). Let i(k) be the third derivative of 0*k**4 - 1\/300*k**5 + 1\/1050*k**7 + l + 0*k**3 + 0*k - 3*k**2 + 0*k**6. Factor i(z).\nAnswer: z**2*(z - 1)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 975420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12928)\/680 + 19)*10.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 180264*w + 3065644.\nAnswer: -4*(w - 45083)*(w + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -28. Let q(k) be the first derivative of -1 + 0*k + 1\/2*k**r + 1\/3*k**3. Solve q(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8001268000 rounded to the nearest one million?\nAnswer: 8001000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 35766*b. Let v(p) = -498*p. Determine v(l(m)).\nAnswer: -17811468*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 3*d - 65. Let b be k(-10). What is the tens digit of (2 - (-15)\/(-2))*(-70)\/b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t. Let x(n) = 34176*n**2 - 2*n + 2. Give x(l(y)).\nAnswer: 307584*y**2 - 6*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5 + 2 + 5*m - 6. Suppose -9 = -4*t + 3*t - 2*p, -5*t = p - 9. Suppose 0 = 12*h + 13 - t. Give k(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 9\/20*l**5 + 0*l**4 - l**2 - 59*l - 2 - 1\/3*l**3. Find the second derivative of f(t) wrt t.\nAnswer: 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -584*o - 581. Let v be w(-1). Which is the closest to v? (a) -14 (b) 13 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86)\/1462 - (101404\/(-3434))\/(2\/4)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3147, -7107, -11879, -17463, -23859?\nAnswer: -31067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*i - 451, -22*i + 19*i + 857 = 4*p. Solve 7*y - 232 = -p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 16132274*c - 16132274*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 655, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgbkgkbdbgkblbl. What is prob of sequence dg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9203 = 23*s - 3194. Calculate the remainder when s is divided by 47.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 + -0.73. Which is the closest to 1\/2? (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 nearest to 3.3? (a) -52 (b) -9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*k**4 + k**4 - 4*k**4 + (-k**4 - k**4 + 3*k**4)*(-1 - 3 + 5).\nAnswer: -24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - ((-43)\/10 - -3)) + (-21609)\/(-1470).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzityiitiitititotio. Give prob of sequence to.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*t - 0. Which is bigger: 1\/4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37907 rounded to three dps?\nAnswer: 0.379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.151 in 0.2, -7, -3, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 471419 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 - 2*q + 57. Let w(i) = -i**2 + i - 28. What is -6*v(k) - 13*w(k)?\nAnswer: -5*k**2 - k + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 25*v - 87 + 205*v + 19*v.\nAnswer: 249*v - 145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y. Let a(c) = c**3 + 2*c**2 - 3*c + 4. Let v be a(-3). Let h(n) = -n + 0*n + v*n. Let o(g) = 2*g. Let b(r) = 3*h(r) - 4*o(r). Calculate b(k(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1 + 0 + 7 + 12*o**4 wrt o.\nAnswer: 48*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -4*v + 46. Solve v*w + 2 = -6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 5*i + 17. Let y(q) = q**2 - 3*q + 9. Let x(f) = -3*p(f) + 5*y(f). Let n = 6 + -2. Suppose -4*h + 4*s + 5 = -11, -n*h - 4 = s. What is x(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w**2 - w. Let o be 3\/12 + (-6)\/(-8). Let y be k(o). Let l(t) = t**3 + 7*t**2 + 8*t + 6. Give l(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + (-42 + (24 - 1) - -22) + 21.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*c - 1054 = 116*c + 308 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwskkkwswh. Give prob of sequence wws.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12334103*l**4 + 167881171?\nAnswer: 49336412*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.239992 hours in nanoseconds?\nAnswer: 33263971200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 0 = 18. Let k(h) = -h + 10. Let q be k(13). Let c be (1\/(-1))\/q*27. Calculate the greatest common factor of c and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-4)\/(-6)*(-1536)\/32.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 17*c - 22. Let l be k(-16). List the prime factors of (-1035)\/46*l*1.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 260 and 47300.\nAnswer: 614900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x + 35. Calculate the remainder when a(-11) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 4. Let k(q) = 2*q - 7. Suppose -2*y - 2*y + 40 = -4*o, -3*o + 25 = 2*y. Determine y*l(a) + 6*k(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 34 - 54. Suppose -19*d = -r*d - 154. Suppose 1299 = d*t + 67. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2292*d + 2172. Is n(4) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -820, -1407, -1972, -2509, -3012, -3475, -3892, -4257?\nAnswer: -4564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxxogoxxxggcxgxgxggo. What is prob of sequence xx?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 20, 98, -1\/11, 5?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(45)\/(sqrt(9)*-2)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/7))**(1\/3)\/(q*q\/(q*q**(-3)))**(3\/22))**(-12\/11) assuming q is positive.\nAnswer: q**(416\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*f**2 - 55*f**2 - 49*f**2 - 26*f**2 + 31*f**2.\nAnswer: -147*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 54, 93, 138, 183?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 9 = -x, g - 67 - 62 = -5*x. Solve 2*d - x = -3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 4:53 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -2*j + 72. Let i = j + 21. Solve -i*a = a + 4*f + 40, -4*f = -3*a + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 16) in base 5?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48)\/(-54)*(-2)\/24. Let n = 0.0448 - 0.2448. Which is the nearest to -1? (a) 2\/7 (b) n (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, 3, -2 in descending order.\nAnswer: 3, 0, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 1510*r**3 + 170*r**4 - 1350 - 3*r**5 + 2119*r**2 - 1515*r - 939*r**2 + 8*r**5 = 0.\nAnswer: -18, -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 4675\/539 + (-8)\/(-28)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(273) + (sqrt(273)*1 - sqrt(273) - sqrt(273))*-3)\/sqrt(7))\/(sqrt(48)\/sqrt(4) + sqrt(240)\/sqrt(5))*-3.\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*y**3 - 3\/2*y**2 + 0*y + 0.\nAnswer: 3*y**2*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.02, 1.3, -3, 8.34, -3\/8?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 8856847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 174369807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*k + k - 5 = 0, -3*k = 6. Let x be (-4 + 2)\/(m + -2). Suppose -5206 = -3*a - r, -5204 = -a - x*a + r. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y - 143. Calculate the remainder when 636 is divided by t(-35).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 11*y**3 + 32*y**2 - 47*y - 38. Let n(o) = -7*o**3 - 20*o**2 + 31*o + 25. Let v(i) = -8*n(i) - 5*x(i). Calculate v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -0*w - 20. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011100221 (base 3) to base 5.\nAnswer: 1212432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/24 and -13\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 4*i + 4. Let u be (-26)\/7 - 24\/(-1092)*-13. Give n(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 1) + 23 + 22 + -23.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1795 is divided by 100?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 806*n - 10480. Give p(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 7*t + 12. Determine h(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 168 + -163. Suppose f*d = 9*u - 5*u + 41, -3*d - 3*u = -3. Solve 37 = -3*b + d*n, 0 = b - 5*n + 12 + 17 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttffhtthhftfhhttttt. What is prob of sequence hf?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*t = -30, -r + 0*t + 4*t + 23 = 0. Suppose -2*o - r*z = -5, o - z + 4 + 6 = 0. Let b = 0.07 - -0.33. Put o, b, 0.5 in ascending order.\nAnswer: o, b, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 594*w**2. Let n(p) = 9*p. Calculate n(f(g)).\nAnswer: 5346*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z - 45*z + 63536 = -326464. Is z a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 3*s - 12. Let r be y(6). Suppose 3*h + 4*a - r = a, 4*h + 13 = 3*a. Sort -24, h, 0.2, 0.1.\nAnswer: -24, h, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.28159862 to three decimal places.\nAnswer: 11.282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 250 - 251. Let m = -0.18 - 0.32. What is the second biggest value in 3, o, 1\/4, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70335213 and 7995?\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1381 = 30353\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2072150*v**4 + 2*v**3 + 4418211.\nAnswer: -8288600*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (18*-1)\/3*513\/(-124659)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 u when three letters picked without replacement from mvubbtf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2013, 4039, 6081, 8139, 10213?\nAnswer: 12303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 537 divided by -8?\nAnswer: -537\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3729157076?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501 + -11?\nAnswer: 1490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9184.742 minutes?\nAnswer: 551084520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 5886238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -216 + 365. Let i = z - 87. Let x = i + -62.059. What is x rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14437 or 14436?\nAnswer: 14436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 144566671 to the power of 1\/2, to the nearest integer?\nAnswer: 12024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108 - -108. Suppose g = 176*o - 171*o - 1430. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*a - 2 = 0, 2*a + 2*a - 26 = -3*y. Solve -y = 4*m - m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 8*h**2 + 26*h + 3. Calculate y(-7).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 508, 1514, 3190, 5536, 8552?\n\"Answer: 335*g**2 + g + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10328*q + 31663 + 271440 = -37721 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 14) to base 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.288 + 24014.\nAnswer: 24013.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742 is divided by 186?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5))\/(90\/(-1425)) + 6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (582\/34 - 1) + 18\/(-153). Solve g = -s - 3*s, 2*s + 12 = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93 and 3751.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 34. Let c be i(-14). Calculate the smallest common multiple of 3 and (-2)\/5 + 308\/c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a - 1. Let d(r) = -r - 1. Calculate -3*d(s) + o(s).\nAnswer: -3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a - 597 + 149 = 0 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 372835.\nAnswer: 149134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -474*i - 5693. Determine n(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6302815?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -282, 5, 0 in increasing order.\nAnswer: -282, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 1) + 12 + -5. Solve 2 = n - o*x + 7, -3*n - 5*x = -13 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/31)*k)**(7\/13))**4 assuming k is positive.\nAnswer: k**(1792\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivcpocx. Give prob of picking 1 x and 1 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 2:42 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1656 and 2358.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 125847 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 10:47 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 617558 divided by 2.\nAnswer: 308779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 12:33 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 31 + 17708*r**3.\nAnswer: 17708*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 13*r**2 - 11*r - 5. Let g = -7 + 21. Let o be j(g). Suppose x = 3*v - o, v = 6*v - 3*x - 63. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-42))\/((-9)\/21)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 151540 - -1060?\nAnswer: 152600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 0 - 20, -2*i + 8 = -4*b. Let x be (44\/(-33))\/(b\/9). Suppose 0 = x*f - 3, -5*h - f = 8 - 64. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 6:08 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50282 + 50182.951. Let j = l + 99. What is j rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**2 + 11 - 3*u + 10*u - 2*u**3 + 0*u**3 + u**3. Let v be i(-6). What is the greatest common factor of v and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.2. Let c = -2.43 + 1.43. Let x = 0.04 + -0.34. What is the nearest to c in y, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 548528?\nAnswer: 1645584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -790 divided by 158?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1.180562kg?\nAnswer: 1180562000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 833417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 318?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y + 12*y + 9*y + 8*y - 49*y + 8*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -5, -0.163, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/8780 and -39\/32.\nAnswer: 70240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.68 + -0.32. What is the fourth smallest value in 1\/6, n, 3\/4, 2\/11?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3264.7 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*t = -14, 3*q = 5*t - 3*t - 1. Let a be 12\/(-2)*q*650\/(-20). Calculate the greatest common factor of a and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 163488\/63963 - (-1 + -3). Let u = 1\/2369 - b. Let k = -4687\/460 + -7\/115. Find the common denominator of k and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 106*l - 212. Let m be g(2). Solve m = -73*j + 123 + 23 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -342213410 (base 5) in base 7?\nAnswer: -15642114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 73 + -4?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-40)*(-2)\/4. What is the nearest to u in -2, 4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 13*p - 9. Let a be l(12). What is the smallest common multiple of 12 and -18*(6\/(-2))\/a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 316*s**2 - 1968*s.\nAnswer: 2*s*(s - 164)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(2*d**2 - 1 + 1) - 134 + 277 - 7*d - 141 + 2*d**2.\nAnswer: -2*d**2 - 7*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 828889490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 9:35 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -191*a**5\/5 - 170*a**2 - 11*a - 12. What is the first derivative of r(b) wrt b?\nAnswer: -2292*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2.5. Let n = -33.5 + -9.5. Let f = n + 40. What is the second smallest value in y, 2, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 + 5760*s**2 - 1990608*s - 60340672.\nAnswer: -4*(s - 734)**2*(s + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -21*n**5\/20 - 2*n**2 + 9*n + 12. Let j(c) = -11*c. What is h(j(q))?\nAnswer: -7623*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**3\/3 - 3*y**2\/2 + 3*y + 2. Let i = 22 + -35. Is l(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 364, 0.2, -2.1.\nAnswer: -2.1, 0.2, 364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 2*d = -6*d - 6, 5*d + 15 = -5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1296 is divided by 259.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-7) + 3 - 9\/(-21). Solve j = c + c - k + 9, -5*c - 4*k = -10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252361147.\nAnswer: 1499, 168353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 21. Let r = -262766 + 262750. Is k at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*o = 639 - 673, 91 = -3*r - 8*o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6 - (2\/55 + (-6589)\/(-1815)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -4) + (20 - 9) + (-1 - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*n**4 + 137*n**3 - 46*n**2 + 7625*n + 178 wrt n?\nAnswer: -84*n**2 + 822*n - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-333)\/45)\/(1\/2*((-1189)\/(-29))\/205).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (5 - 6)) + 1 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 98 = 9*n. Suppose 20 = -n*l + 18*l. Solve -4*m + 26 = -2*g + 4, -2*g = l*m - 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -128*m + 95*m + 126 + 72 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -206 - -209. Solve 1 = 2*y - 0*y + z, f = 3*z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111 - 1111?\nAnswer: -100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**3\/6 + 26*s**2\/3 + 97*s\/6 - 77\/3 = 0. Calculate s.\nAnswer: -7, -22\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/24*99894\/(-4). Let h = -2086 - z. What is the common denominator of h and -91 + 85 - (-407)\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 3, 4\/9, 2\/460379?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1358 and 362866?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161, 2730167, 1 in descending order.\nAnswer: 2730167, 161, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1732513881 to the nearest integer?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/10 + 53\/120. Let d = -883.54 + 883.5. What is the third smallest value in q, d, -2\/13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**4\/24 + 37*w**3\/6 + 16*w**2. Let s be q(-13). What is the highest common factor of 20 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 9*q - z = -2, 4*q - 4 = -3*z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 714051 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 6 + 58. Let p be (-6)\/10 + (-36)\/(-10). Suppose 2*i = k + 4*k - u, p*k = -i + 3. Solve k*s = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12202239 and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1416027871 = -186*c - 692096129. Round c to the nearest one hundred thousand.\nAnswer: -11300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 47*s**2 + s + 3. Let k(n) = 16*n**2 + 1. Let i(u) = -6*a(u) + 17*k(u). Let j(l) = l**2 + l. Let v(y) = i(y) + 6*j(y). Let z = 1 + -2. What is v(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**3*p**2 - 5*d**3 - 8*d**2 + 2146*d - 12*p**2 + 1019*p + 2 wrt p?\nAnswer: 2*d**3*p - 24*p + 1019","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1604370 (base 11) to base 13.\nAnswer: 750a67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 12:12 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -0.006, -0.4, -3, -1 in increasing order.\nAnswer: -3, -4\/3, -1, -0.4, -0.006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + ((-4)\/5)\/(-2). Let n = 353565 - 353561. What is the biggest value in 3, a, 1\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 9 = -y, 307257*j - 307255*j = 2*y - 22 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4 - (435\/(-30) - -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = v - 3, 0 = 5*v - 0*s - 2*s - 21. Let j = 0.02 + -0.08. Which is the biggest value? (a) j (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214264394 to the power of 1\/2, to the nearest integer?\nAnswer: 14638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*n**2 - 49*n + 15*n + 15*n + 14*n - n**2 as x*n + u + f*n**2 and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*i + 6*i - 4, 0 = -o + 3*i + 8. Suppose -r - 2*r + 15 = 0. Sort r, -2, o.\nAnswer: o, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-510)\/(-198)))\/(-26*58\/12818).\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*u + 2*u. Let h(k) = 15*k. Let i be h(2). Suppose -5*a + 121 = 5*p + 36, 4*a = 3*p - i. Calculate the highest common divisor of p and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 - 408*q**2 - 31860*q + 899944.\nAnswer: 4*(q - 146)*(q - 23)*(q + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 504 - 112 = 0. What are the prime factors of z?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209637*p = 209616*p + 1008 for p.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a = 10*a + 510. What are the prime factors of a?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -809*d - 806*d + 1613*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 - f - 1. Let w(j) = -j**3 - 19*j**2 - 11*j - 9. Let l(g) = -w(g) + 6*x(g). Suppose 0 = 19*u - 17*u + 10. Give l(u).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8919 less than or equal to -38.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 25962*j + 56168787.\nAnswer: 3*(j + 4327)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141875978.\nAnswer: 2, 211, 336199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = w + 2*w. Let x be -5 - (-196)\/1085*(-220)\/(-8). Is x != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17692.\nAnswer: 2, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -365 divided by -273116.\nAnswer: 365\/273116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30114 + 48631. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59.4741*-22.\nAnswer: 1308.4302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1510 - 1512. What is the nearest to l in -8, 1\/5, 0.06, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16343640?\nAnswer: 2, 3, 5, 37, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -12*f + 5. Suppose q = -14 + 4. Let c = 6 + q. Is a(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 5*z**2 + 6. Let y be q(5). Suppose -2*h + 7*h - 2*g - 21 = 0, -3*g + y = 0. Suppose -h = -5*u + 25. Solve -u = 3*c - c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - a + 7 = -9*y, 3*y - 18*a + 68 = 10*y - 15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-1*(-1 + (-18 - -17)). Put l, 1, 3\/5, 1\/9 in descending order.\nAnswer: l, 1, 3\/5, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.5, 8.8, -2, 0.0511 in descending order.\nAnswer: 8.8, 6, 0.0511, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.7 + -0.7. Let t = 112 - 110. Let f be (-18)\/42 + 0\/t. What is the nearest to j in -3, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111100110 (base 2) to base 10.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 9*s + 3. Let n be i(9). Let g(j) = j**2 + 6*j + 5. Let o be g(-5). Solve 4*v - 4 = o, -v - 4*v = 2*l + n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 4:22 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 187.6848 - 188.9. Round u to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 14, -345.47.\nAnswer: -345.47, 14, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.600884 weeks to days.\nAnswer: 60.206188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-6534)*22*9\/12\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12140774, -12140697, -12140620, -12140543?\nAnswer: -12140466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -808 or -809?\nAnswer: -808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8766980\/117 - -74932. What is the common denominator of q and -73\/2?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, r: 3, s: 4, h: 5}. What is prob of picking 1 r and 3 h?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*278\/(-695).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2. Let j(i) = -185*i + 148. Let w(f) = f - 1. Let h(t) = -j(t) - 148*w(t). Calculate h(u(l)).\nAnswer: 74*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.27 * -164640.\nAnswer: 44452.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oaaoaooycaa. Give prob of picking 2 a, 1 c, and 1 o.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x**2 - 27*x + 1740. Let o(z) = -4*z**2 + 12*z - 871. Calculate 4*l(n) + 9*o(n).\nAnswer: -4*n**2 - 879","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 230, 856, 2096, 4154, 7234, 11540, 17276?\nAnswer: 24646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + 16*c - 4*c - 18*c - 4*c + 4 + 2*c - 4 + 2*c - 3*c - c + (0 + 4 - 2)*(-2*c + 0*c + 0*c) + 2*c - 4*c + c to the form s*c + d and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16\/317 - 10859\/29798. Let r = -733 - -1437. Let l = r - 5623\/8. Find the common denominator of l and i.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/135)\/((-31)\/217)\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1752*p - 1088*p - 1417*p)*(0*p - p**3 + 0*p + (2 + p - 2)*(-2*p**2 - p**2 + 2*p**2) - 5*p**3 + 2*p**3 + p**3).\nAnswer: 3012*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2. Let u(o) = -144*o. Determine c(u(d)).\nAnswer: 62208*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.25 - -0.05. Let w = 10 - 8. Which is the closest to s? (a) -3 (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68461403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-187)*(-10)\/10.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*p = -3, 0*n + 4*p + 10 = 3*n. Sort -0.08, n, 0.4.\nAnswer: -0.08, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/12 + 7649981\/3. Let g be 4\/10 - y\/(-15). Suppose 3*s = -2*s + g. Round s to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 3991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4411854, -4411890, -4411926, -4411962, -4411998, -4412034?\n\"Answer: -36*p - 4411818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 5*n**4\/24 + 2*n**3\/3 - 7*n**2. Let q be v(-4). Let p = -15 - q. Solve -2 - p = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -110020123303?\nAnswer: 110020123321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 4*v = 3*w, -4*w + v + 20 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65610162*m**4 - 9*m**2 + 4853*m - 297.\nAnswer: 1574643888*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, p: 7, t: 3}. What is prob of sequence tpyp?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*v - 18. Suppose v*b - 8 = g + 11, -53 = -4*b + 5*g. Let y be (-8)\/(-28) + (-2)\/b. Solve y*w - 4*w = -20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5 - 67*a - 22*a**2 + 27*a**2 + 3 + 5 + 64*a**2. Let d(s) = s**2 - s - 5. Let m(v) = -3*d(v) - n(v). Factor m(g).\nAnswer: -2*(g - 1)*(36*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14.77 and -0.04542?\nAnswer: 0.6708534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4822621\/30 or 160755?\nAnswer: 160755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3140*x**2 + 35. Let m(i) = 349*i**2 + 4. Calculate -4*d(l) + 35*m(l).\nAnswer: -345*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47357, 47842, 48319, 48788, 49249?\nAnswer: 49702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 882 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.022897 to 3 dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35 and -0.033?\nAnswer: 1.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/10 and -93\/21676?\nAnswer: 108380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 > -4801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = w - 73 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 328*j**2 + 27*j - 352. Let y(z) = 66*z**2 + 5*z - 70. Let p(x) = -4*q(x) + 22*y(x). Differentiate p(v) wrt v.\nAnswer: 280*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (2 + (0 - 24) + 29).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 3:30 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4143 + 3404 = 1235*w - 9384 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s = 47*s + 52. Sort 961, s, 4, 3 in increasing order.\nAnswer: s, 3, 4, 961","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*n - 13855 = -50914. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 633*j**3 - 447.\nAnswer: 1899*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from xxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*-1 + 1 - -1*sqrt(500)*-1) + ((-2 + sqrt(125) + -3)*4)**2 + 3.\nAnswer: -820*sqrt(5) + 2404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 3 - 27 = 0. Suppose i*y + 3*n + 418 = 0, 2*n = 4*y + 6*n + 420. Let s = y + 107. Solve 2*f - 4*b = 2, s*f + 2*b + 21 = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (13 - -2)\/((-4)\/(-12))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16849788 divided by 4\nAnswer: -4212447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**2 + 388*a - 10626 = 0.\nAnswer: 33, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38165 is divided by 910?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1925?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -130408893 * 3.\nAnswer: -391226679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -137\/5 in -30, -4, 1\/5?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**6\/120 + 2*s**5\/15 + s**4\/8 - 7*s**3\/3 - 6*s**2. What is the remainder when 25 is divided by r(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-8)*10*-53108 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - y**4 + 11*y**3 - 8*y**2 - 12*y**3 + 4*y**2 in the form k + u*y**4 + o*y + n*y**2 + d*y**3 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -40, -35, -30, -25?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 0 + 0*y**3 + 0*y**6 + 5*y**2 + 0*y + 0*y**4 + 7\/60*y**5 + 1\/70*y**7. Find the third derivative of g(a) wrt a.\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**3 - 5*k**3 + 3*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3311 (base 6) in base 4?\nAnswer: 23323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3586400.\nAnswer: 2, 5, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -105901*h - 741305. Calculate v(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 380515*a - 380510.\nAnswer: -5*(a + 1)*(a + 76102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ae7 (base 15) in base 10?\nAnswer: 5842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - 13) + -8 - (-13 - -5) - -4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-343)\/(-42))*-7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 2899*q**3\/3 - 4861*q**2\/2 + 5722. What is the second derivative of i(r) wrt r?\nAnswer: 5798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-99)\/154)*(-72)\/(-28).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 9*n**2 - 8*n + 5\/2 - 4*n**3 + 1\/2*n**4 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 - ((-1 - -31) + (-260 - -192)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480701715.\nAnswer: 3, 5, 13, 73, 33769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 158*p + 945. Let w be x(-6). Which is the smallest value? (a) 2 (b) 0.2 (c) -0.5 (d) 0.5 (e) w\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116 and 88951.\nAnswer: 10318316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 1:07 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-992)\/2760)\/(-31)*(3\/18)\/(37\/(-333))\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11895\/(-610)*10*(-2)\/(-24)*4.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 780 + -377. Let v = b - -16. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 7:58 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 100 - 47. Suppose -30*u = -29*u - i. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(77*n**5 - 20*n**5 - 13*n**5).\nAnswer: -88*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 2*h = -5*l + 109, 703 = -5*h + 18*l + 330 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3254 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 13989*z + 11 - 4 - 10 + 3)*(-2*z - 2*z**2 + 2*z) to the form c*z**2 + s*z + x*z**3 + p and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47010 and 3580.\nAnswer: 16829580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/60 - (-32)\/60)*27?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8d0806 (base 15) to base 7\nAnswer: 111150240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 12, 3*t + 5*h = 9 + 13. Let j = 21 - t. Let q(r) = r**2 - 7*r - 5. Give q(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1939*a + 58170. Calculate n(-30).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.12 + 0.22. Let n = 3 - 4. Let q be n + ((-51)\/19)\/(-3). Which is the closest to 0.1? (a) 2\/9 (b) g (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/17 + 94202*z**2\/17 + 78254240*z\/17 + 16111040200\/17 = 0. What is z?\nAnswer: -410, 47921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*c + 12*c = 355 + 181 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 21*r + 283. What is v(-14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -3*c**8\/784 + 151*c**7\/245 - 3697*c**6\/140 - 2626*c**5\/35 + 2397*c**4\/56 + 2601*c**3\/7 - c**2 - 14. What is p in g(p) = 0?\nAnswer: -1, 2\/3, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -1219084*x. Let d(s) = 7*s. What is d(o(b))?\nAnswer: -8533588*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58541 divided by 5.\nAnswer: -58541\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*a - 5*t + 15, -3*t = -9. Suppose 2*p - 1520000 = -a*p. What is p rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from bbbbbbbbbbbrbrbbbbrb?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -60\/6601 and -18\/293687?\nAnswer: 84288169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*h**3*s**3*y**2 + 242*h**3*y**3 + h**2*y**3 + 44*h**2 + 14*h*s**3*y wrt h?\nAnswer: -54*s**3*y**2 + 1452*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -12*(-5)\/4 - 9. Let r(k) = 4*k**2 - 2*k. Let n be r(3). Calculate the greatest common factor of q and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15222 and 1287390?\nAnswer: 3266108430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**2 + 6*m - 5. Let p be f(5). Let c be 397690\/p*2\/(-164). Let b = 1\/820 - c. What is the common denominator of b and -33\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**3*x**3 + 183*u**3*x + 76*u**3 - 98759*u**2*x**3 wrt u.\nAnswer: -12*x**3 + 1098*x + 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 9*y**2 - 6*y + 43. Let j be o(9). Let l(a) = -41*a - 138. Is 33 a factor of l(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*x**4 - 100 + 100 + (-3*x + 2*x + 2*x)*(-2 + 2 + 2*x**3))*(0 + 0 + 2).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 - 20. Let w = 22 - n. Let v be ((-3)\/w)\/(9\/15). Put -0.5, -5, v in decreasing order.\nAnswer: v, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616760 is divided by 12849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyqggbgbg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 14. Let u = 7.4 + f. Let n = 1.7255 - -0.2745. What is the smallest value in n, u, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17498336 to 4 decimal places.\nAnswer: 0.175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*v**2 + 65*v**3 - 64*v**3 - 17*v**2 + 34*v**2.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**3 + 17*z**2 + 82*z - 49. List the prime factors of n(20).\nAnswer: 3, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/250)\/((-624)\/160)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136834138 divided by 2.\nAnswer: -68417069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 3, 0.042, 1, -3, -2\/7, -1570?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*w - w - 6 = 0, 0 = 5*v + 5*w - 15. Suppose 71 = 5*q - r - 2*r, r + 2 = v. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + -18?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x. Suppose -3*n = -2*n + 19. Let d = -19 - n. Let q(j) = j**2 + d*j**2 - 3*j**2. Calculate q(h(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7296\/480)\/((16\/(-24))\/(10\/6)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + 21 = 24*f - 23*f, -2*f + 5*w = -42 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14275, -14281, -14287, -14293, -14299?\n\"Answer: -6*v - 14269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6 - 9 = 0. Suppose 2*m = c + 5 + 7, -3*m - x*c + 44 = 0. Suppose -5*j + m = -7. Solve 4*w + 5*a + 27 = 0, -3 = 2*w + j*w - 4*a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -13*y**6\/60 - y**4\/24 + 6*y**2. Does 12 divide v(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -227, -4, 4, -478\/11?\nAnswer: -478\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -29. Is 24 a factor of 121 - ((-11)\/i)\/((-2)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*f = -5*f + 2596 + 758. Suppose -5*u = -2*m - 9 - 13, 5*u = -m + 34. Suppose f = u*a - 105. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/16)\/((-42)\/(-252))*(-16)\/(-16128)*16.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k**3 - 13*k**2 + 18*k - 6. Let i(c) = 23*c**3 - 37*c**2 + 54*c - 17. Give 6*i(v) - 17*m(v).\nAnswer: 2*v**3 - v**2 + 18*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 - -e?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsssyssssohmyfmssss. Give prob of picking 2 s.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 704*n**4 + 9*n**3 - 11*n**2 - n. Let o(u) = 176*u**4 + 2*u**3 - 3*u**2. Let j(c) = 9*o(c) - 2*s(c). What is the third derivative of j(t) wrt t?\nAnswer: 4224*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 180 = 13*c. Let s be (4\/5 - 2)*c\/6. Are 4 and s nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 1.43?\nAnswer: 0.143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 4 = 0, -9*w + 0*w - 3*g = -8*w + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2945 is divided by 29.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (5 + -6 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 10*y**2 - 6*y + 3. Let k be f(9). Let p be k\/(-4)*(-8)\/12. Suppose p*h - 3183 = 21817. What is h rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 67915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q + 16. Let o be k(-7). What is the second derivative of -13*d - 14*d**4 - 40*d**2 + 40*d**o wrt d?\nAnswer: -168*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 5*p**5 - 63345*p**4 + 506255*p**3 + 2342505*p**2 - 2785420*p = 0.\nAnswer: -4, 0, 1, 11, 12661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9721 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -2\/11, 63, 0.06, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + q + 5 - 2 = 0, 1 = q. Suppose 2*p + 6 + 2 = 2*s, -v*s + 18 = -5*p. Let i(d) = 4*d**2 - 4*d. Is i(s) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2228729627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*l - 32*l - 1. Let d(n) = 17*n**3 + 18*n**2. Let w(u) = u**3. Let r(s) = l*d(s) - 6*w(s). What is the third derivative of r(f) wrt f?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 421, 2.59, -2\/13, 4 in increasing order.\nAnswer: -2\/13, 2.59, 4, 421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -45*l + 370. What is a(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 2. Let n be d(1). Put -4, -5, n in ascending order.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1 (c) -3 (d) 0.2 (e) 3\/10111\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-3))\/((-6)\/(-423)). Suppose -337 = -5*p - o. Let c = 108 - p. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 345?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1435575 divided by -3?\nAnswer: -478525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 0*n + 10 - 2\/25*n**5 - 2\/5*n**4 - 2\/5*n**2 - 2\/3*n**3. Suppose v(d) = 0. Calculate d.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47316939 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*d**3 + 45*d**3 + 16 - 48 + 54*d**3 + 33*d**3 - 2*d**2.\nAnswer: 17*d**3 - 2*d**2 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1602390 and 103380.\nAnswer: 3204780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 25. What is h(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 28*y**4 + 4152*y**3 - 128412*y**2 + 433192*y - 386400 = 0.\nAnswer: -175, 12\/7, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) + 0)*6 + (sqrt(108) + 0)*-3 - (2 + 5 + 3*sqrt(108))) + 3 + 2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b*b**(-4))\/b))*b**(-3))**(-41\/4) assuming b is positive.\nAnswer: b**(287\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/(5\/790). Let u = f - -111. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**4\/24 + 30*i**2. Let l(d) = -42*d - 2. What is l(p(j))?\nAnswer: -42*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/2)\/(8\/16). Let q be (546\/(-30))\/(-7) + (-2)\/(-5). Let c be -2 + ((-2)\/q)\/(4\/(-42)). Calculate the highest common factor of c and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3, -7, -13, -21?\n\"Answer: -d**2 - d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-651)*3269322\/2268\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 2, -117, 0.2, 2\/21?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17860.99991501 + -17861. Round y to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.1 - -27.9. Let y = 12.741 - v. What is y rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 5:27 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 72019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 161656 = 3*m - 11857, -24977 = -a - 3*m. List the prime factors of a.\nAnswer: 2, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6 + 182)\/(-8))\/(-17 - -19)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 143*l + 390. What is q(-6)?\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.01431 - 0.01431. Which is the biggest value? (a) -3 (b) j (c) -1\/2 (d) 4\/9 (e) -0.019\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z - 2 = -9 - 17 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**2 - 3*u + 2. Let h be y(1). Let t be -3*(-1 + (-5)\/h). What is the greatest common factor of t and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*v + 29, -6*v + 5*v = -4*m + 25. Let z(o) = -3*o**3 - 30*o**2 + 13*o + 12. What is the units digit of z(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32766 by -129.\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i - 20 = 18*i, -3*h - 2*i = -106. Solve -4*j = 3*u - 1, h*u + 2 = 30*u - 4*j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*i - 113 = 0, 0*n - 134 = -5*n + 3*i. Solve 3*h = 8*h - n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 + -58)*(-30)\/45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 54, 1.\nAnswer: -1\/8, 1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r. Let l(o) = 2760 + 299*o**2 + 0*o - 2760 + 0*o. Calculate g(l(s)).\nAnswer: -598*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 2, -5 in ascending order.\nAnswer: -20, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 341 - 338. Which is the closest to 0.1? (a) 1 (b) t (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376879 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 = -0. Suppose 2*u = 3*j - 2*j + 166, 2*j + 5*u + 377 = 0. Let v be (2052\/j)\/9 - (-9)\/12. What is the second smallest value in q, -1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64.8 + -11.8. Let i = -1380.66 - -1433. Let k = i - m. Round k to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1092 - j**2 + 1129 + 2545*j**3 - 373*j**3 + j**2 wrt j.\nAnswer: 6516*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13833947178 + -4?\nAnswer: -13833947182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1977 times 13646.3\nAnswer: 26978735.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27*l**4 - 22*l**3 - 5*l**2 + 10103 wrt l.\nAnswer: -108*l**3 - 66*l**2 - 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -44*a**3\/3 - 115*a**2\/2 + 2*a + 252. Differentiate n(q) with respect to q.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (49\/(-245))\/(1\/(-5))*9. Let d be (6\/21)\/((-1)\/(-126)*h). Determine z so that 9\/2*z**3 + 3\/4 + 11\/2*z**2 + 1\/4*z**5 + 13\/4*z + 7\/4*z**d = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d + 2. Let u(q) = -1. Determine 3*s(f) + 6*u(f).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*c + 518*c - 9763 = 15306 for c.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 2*i**2)*(4*i**2 + 3*i**2 + 0*i**2) - i + i + i**4)*(4 - 2 - 1) + (i + 0*i + i)*(0*i**3 + 2*i**3 + 0*i**3) + 95*i**4 + 56*i**4 - 16*i**4.\nAnswer: 126*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d. Let b(k) = 11*k + 4. Let j(z) = -b(z) + 4*y(z). Determine j(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from {p: 7, m: 4, h: 3}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 106398 + 10568 = -12*x. Does 72 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 m when two letters picked without replacement from {m: 2, o: 6, k: 4, f: 2, l: 3, z: 1}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*c - 3617 - 6273 = 0. Solve 122*h = c*h + 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 7*y**3 - 7*y**2 - 5. Let i(m) = 6*m**3 - 6*m**2 - 4. Let n(r) = r**3 + 2*r**2 - 2*r. Let g be n(-2). Let h(j) = g*k(j) - 5*i(j). Factor h(t).\nAnswer: -2*t**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*w**2 + 54*w?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 119959, 959697, 3238973, 7677553, 14995203?\n\"Answer: 119961*v**3 + 3*v**2 + 2*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-10)\/6 + 1). Let q = 8 - p. Suppose -2*n + 2*v + 264 = 0, 4*n = q*n + 4*v - 127. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1733264610637 minus -1?\nAnswer: -1733264610636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2\/11, -12\/7, 4, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g**2 - 43*g + 11. Let t be u(7). Suppose 0 = 6*l - 4*l - t*i + 12, 0 = 2*l + i - 8. Solve q = -4*q + l*w - 31, -15 = -5*w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 57 - -68 - -3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(99) + sqrt(99) + -2 + sqrt(99) + -1*sqrt(99) + sqrt(99) - sqrt(99)) - (-5 + -4*(sqrt(99) + -1)))**2.\nAnswer: -180*sqrt(11) + 3589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 851\/(-111) - (1 - 9). Determine v, given that 0*v**2 - 1\/3*v**4 + 2\/3*v - 2\/3*v**3 + q = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-10) + 156352\/40. Let a = n - 7945. Is (a\/8)\/((-3)\/(-2) - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 + 583 + 152 + a.\nAnswer: a + 849","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9\/68810, -3, 0.2, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/2 - 36925*s**3\/2 - 36923*s**2.\nAnswer: -s**2*(s + 2)*(s + 36923)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**2 + 7*p**2 + 3*p**2 - 5*p**5 + 0*p**5 wrt p.\nAnswer: -300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -732*d + 1 + 1469*d - 736*d. Let y(s) = 3*s + 2. Determine 10*r(a) - 4*y(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgvynnnyrgygr. Give prob of sequence yyvr.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/17 (b) 17\/5 (c) -1\/2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 45*r**2 + 3*r - 3. Let q(z) = 91*z**2 - 13950*z - 13948*z - 7 + 27905*z. Determine -7*l(d) + 3*q(d).\nAnswer: -42*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3370\/3 + 1123. Which is the nearest to z? (a) 0 (b) -2\/19 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7354*j + 132907. Determine h(18).\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 290 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 700ae - 5?\nAnswer: 700a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, l: 11, k: 1, n: 2}. What is prob of picking 1 l and 1 k?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 8*z + 47. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b7ca9b + 1?\nAnswer: -3b7ca9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 3)*(-v + 2*v + 0*v) + (-32 + 45 - 24)*(-v + v + v).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 2*i**2 - 12*i**2 + 20*i**2.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 160*v + 264. Let r(a) = -37*a - 66. Let c(p) = -6*k(p) - 26*r(p). Let i(z) = -z. What is c(i(m))?\nAnswer: -2*m + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z - z + z + 5*z - 3*z + 0*z + 3*z + z - 3*z - 3*z - 4*z + 6*z + 1 + 2*z - 1 - z + 1 - 1 + (-3 + 3 - 2*z)*(-1 + 1 - 1) + 3*z - 4*z - z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9098 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -2\/17, -40, 0.1, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/78, 2\/19, 1\/5, 4?\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10000980 a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m. Let f(l) be the first derivative of -5*l**2\/2 - 37. Give c(f(s)).\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-1 - 1)*(7 + 3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 8:48 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/150 + (-107)\/(-15) + -4. Let s be 3\/4 + p\/12 + 9. Solve -2 = -s*d + 8*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 7:43 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18464636 - -63.\nAnswer: -18464573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -1.69.\nAnswer: 0.507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 20146 - 20146.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4312?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -370 + 369.2. Let a(l) = l**2 + l + 4. Let k be a(0). Sort -1, -1\/7, k, o.\nAnswer: -1, o, -1\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48 or 49?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/6)\/((-62)\/(-15) - 4). What is the remainder when 52\/65 - 4601\/d is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 31, -16, -4 in increasing order.\nAnswer: -16, -4, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven halves of a day?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r = 3*z + 15, -5*z = 5*r. Suppose -r*o + 16 = 1. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/(-12)*568\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**5\/20 + 3*v**4\/4 + 2*v**3 + 5*v**2\/2 - 13*v. Is a(10) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5801*n**3 - 15980*n**3 - 7937*n**3.\nAnswer: -29718*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 13*y**2 + y - y + 38*y**3 - 40*y**3 + 97*y**2 as u + f*y**2 + v*y + l*y**3 and give f.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**3 + 1024*q - 1023*q + 0*q**3.\nAnswer: 4*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -6. Suppose 4*u + l - 7 = 0, 3*u = 7*u + 2*l - 10. Let y be u - -6*(-6)\/27. Which is the third smallest value? (a) y (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 799\/2 + -1625\/4. Let r(x) = x**2 + 7*x + 6. Let k be r(-5). Find the common denominator of z and ((-11)\/k)\/((-9)\/2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19\/46, 4, 2\/5, 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 281092 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by 440.\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + sqrt(1728) + (-4 + sqrt(1728) + sqrt(1728))**2 + -1 - sqrt(324)\/sqrt(300)*-2) + 4.\nAnswer: -1779*sqrt(3)\/5 + 6931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*q - 4*q + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/9 and 50\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5263 - -5258.9613. Let c = 0.0387 + a. What is the second biggest value in 1, c, -2.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n + 20*n + 352 = 28*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1109371 divided by 21?\nAnswer: -1109371\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in 263631, -41, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b**5 + 7499*b**4\/2 - 50313*b**3\/2 - 32809*b**2\/2 + 22371*b\/2 - 1295 = 0 for b.\nAnswer: -185, -1, 1\/6, 2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2952984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 113*m - 118*m + 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -10*b**3 + 65\/2*b**2 - 10*b + 20. Factor c(s).\nAnswer: -5*(s - 2)*(6*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 560 and 21245.\nAnswer: 339920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -103*h - 37. Is d(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*y + 11, o - 5*y = -y + 1. Suppose -o = g - 0*g. Let f = g - -17. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 2. Let t be ((-1 + -16)\/1)\/j. Calculate the greatest common divisor of t and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 56, 111, 166?\n\"Answer: 55*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2684*l + 399933. Give k(149).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -36.017. Let b = g - -36.983. Let m = b - 35.15. What is m rounded to 1 decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + h + 1. Let q be 10*(-2)\/(8\/6). Let n = 5 + -17. Let g = q - n. Let y(v) = -2*v**2 + v + 2. Calculate g*c(u) + y(u).\nAnswer: u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -3 - (14 + 2) - -12.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5258784 and 32?\nAnswer: 5258784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11918 is divided by 1477?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 555\/(-25) + (-259 - -284)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**23)**3 assuming u is positive.\nAnswer: u**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 160698765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -4)\/((-2)\/(-14)). Suppose m - u = 2, -4*m - 5*u = -m - 46. Is x less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -3 - 2)*-5. Solve 4*w = -0*v - v - c, 4*w = -4*v - 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83\/387 + -1\/129. Let x be 3*(50\/60)\/(30\/9). Which is the nearest to 2\/9? (a) x (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 + (-44)\/(-12) - 157\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1915, 10740, 26471, 49108, 78651, 115100?\nAnswer: 158455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 126 (b) 172 (c) 4 (d) -1 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*s - 25*s + 250. Solve -s*g - 21 = -31 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 - 5 = 2*g. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/20)\/h**(-7))**(-2\/87) assuming h is positive.\nAnswer: h**(-139\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2620.3 rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**3\/7 - 5716*u**2 - 62914*u + 480408\/7 = 0?\nAnswer: -12, 1, 20017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1718410 and 43303932.\nAnswer: 216519660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184338 and 637.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -461 (base 7) to base 10\nAnswer: -239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17220?\nAnswer: 2, 3, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -49085 and -0.1785.\nAnswer: 8761.6725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 3\/100709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 9*j + 1092. Let a = -242 - j. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -341455552?\nAnswer: 341455545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p**(-4)*p))*p)\/p*p\/(p**2*p)*p**(2\/7)*p*p**(1\/3) assuming p is positive.\nAnswer: p**(-71\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3681984 centimeters to kilometers.\nAnswer: 0.000003681984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 222864888955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 - 9. What is the lowest common multiple of 10 and z?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g - 10. Let r be k(7). Let n(w) = w**2 - 3*w + 6. Let u be n(r). Calculate the highest common divisor of 70 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 385512 by -48189.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/6 (b) -7.1 (c) -5 (d) 2 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -477*m - 338 + 338 + (0*m - 3*m + 5*m)*(-1 - 4 + 4) - 2 + 2 - 4*m.\nAnswer: -483*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*f**3*n**3 - f**3 + f**2*n**5 + n**3 + 17*n**2 + 5 wrt n.\nAnswer: -72*f**3 + 60*f**2*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**3\/5 - 3927*i**2\/5 + 26592*i + 136884\/5 = 0. What is i?\nAnswer: -1342, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/((sqrt(35)\/sqrt(5) - sqrt(7)) + sqrt(7)) - ((sqrt(2)*1)**2 + -2).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(476\/(-7378)*3\/6).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/11)*q\/((q*q**0)\/q))**(1\/76)\/(q**(4\/7)*(q\/(q\/q**(-1)))\/q*q*((q\/(q**0\/q*q))\/q)\/q*q**(-2\/7)) assuming q is positive.\nAnswer: q**(10179\/5852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(((-30)\/(-4))\/5). Let b = q - -5. Is -1\/10 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 518, 417, 316, 215?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 3:10 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2014, -4028, -6048, -8074, -10106, -12144?\n\"Answer: -3*d**2 - 2005*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) -30 (c) 4 (d) -10.1021\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -4)\/((-5 - -13)\/(-8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 714.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -31*a + 19. Let o = 8961\/13 + -689. Let t = o + 14\/39. Is t at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1539*j + 37*j**3 - 3415*j + 1583*j - 2 - j**2 + (0*j + j**2 + 0*j)*(j - 2*j - j) to the form v*j**2 + k*j + t + a*j**3 and give a.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -10*n**2 + 18*n - 145. Let i be v(7). Let w = i + 528. Solve -17 = 12*q + w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.9483 * -4.\nAnswer: -23.7932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -810.2294692 rounded to the nearest ten?\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24289 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5796, 11400, 17002, 22602, 28200?\n\"Answer: -g**2 + 5607*g + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -677 - -681. Let b(a) = -a**3 + 4*a**2 - 3*a - 1. Determine b(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 49, 114, 205, 322?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(34)\/sqrt(2) + 0 + sqrt(17) + sqrt(612) - (-3*sqrt(170)*-1 - sqrt(170))\/(sqrt(10) - -2*sqrt(10)*-1 - sqrt(10)).\nAnswer: 2 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 14 = -4*o, -3*o + 5*z + 10590 = 10574 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1082809*x - 1082747*x = -1054 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21167594?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 757 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 1011?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 4\/7, 59 in ascending order.\nAnswer: -5, 4\/7, 3, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 595\/(-56) - (-87)\/(-232).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 558*y**4 - 124*y**2 + 8248.\nAnswer: 2232*y**3 - 248*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49011 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2)*f)**(2\/83)*f**4\/f*f*f*f*(f\/(f**(-2\/9)*f)*f)\/f assuming f is positive.\nAnswer: f**(4675\/747)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16035 (base 10) to base 2.\nAnswer: 11111010100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**3 + 49*d**2 + 53*d + 87. What is i(-9)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -110139.199 rounded to the nearest one hundred?\nAnswer: -110100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2.7. Let l be (-4)\/12 - (-898)\/1950. Let q = -2\/75 - l. What is the smallest value in w, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18089 - -18088.999984818. What is y rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-126)\/5)\/(8\/(-20)) is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z**3 + 36451*z**2 + 36306*z**2 - 72757*z**2.\nAnswer: -14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**3\/4 - 1281*f**2\/2 + 86412*f - 1215552 = 0.\nAnswer: -974, 16, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -234859*w**2 - 6. Let f(a) = a. Determine g(f(u)).\nAnswer: -234859*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753781 is divided by 39670.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-32)\/(-12))*4. Let k = 2 + -2. Suppose 0 = -h + 1, -j*g + 3*h - 426 = -k*g. Round g to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**0)**(-30))**37 assuming h is positive.\nAnswer: h**(-1110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 - 0.22. Let y = -0.7767 - 2.7503. Let q = y + 0.527. Which is the closest to q? (a) 1 (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/9*-1*(-363)\/(-6). Let s = -102 + r. Solve i = -4*i + 2*a - s, -i = -4*a + 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7be07 (base 15) in base 7?\nAnswer: -3232414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/35*56\/(-8))\/(48\/24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 11:37 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 306, -4, -1, 4, 16 in ascending order.\nAnswer: -4, -1, 4, 16, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**5)**(-9\/5))**(-1\/11) assuming y is positive.\nAnswer: y**(9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -171 + 130. List the prime factors of o*((-30)\/(-6) + -8).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 2*n**6\/3 - 10*n**5 - 3*n**4\/4 - 512*n**3\/3 - 3*n**2\/2 + 3903. Find the third derivative of i(d) wrt d.\nAnswer: 240*d**2 - 1200*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21200020 (base 3) to base 12\nAnswer: 32a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -276586 (base 10) to base 13.\nAnswer: -98b7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1975 and 425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121431 (base 5) in base 8?\nAnswer: 47421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -17667?\nAnswer: -5300.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1089 and 3564.\nAnswer: 39204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-30)\/(-6) - 2 - 4 - -1872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314.9 rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/45*((-19)\/(-14) + -2)\/(951\/634)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from {e: 2, b: 1, d: 1, q: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z - 2*z**2 - z**3 + 4*z**2 - 3*z**3 + (3*z - 6*z + 4*z)*(-2*z + 2*z + 2*z**2).\nAnswer: -2*z**3 + 2*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/21 and (-20)\/(-6) + -4 + 94\/(-168)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b16 (base 12) to base 14.\nAnswer: -826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 298444531 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 7:59 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67024126 is divided by 1426045?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -514*a + 1534. What is y(6)?\nAnswer: -1550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*82\/615*(-45)\/12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 151*g**3*k**3 + 2*g**3*k**2 - 14*g**2*k**3 + 8*g**2 wrt g.\nAnswer: 906*k**3 + 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -32.979. Let o = 0 - m. Let g = o - 5.221. Round g to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4237665263.\nAnswer: 13, 239, 1363909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -177835, -177839, -177843, -177847, -177851?\n\"Answer: -4*l - 177831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 15*n**3 - n**4 - 50*n**3 - 3*n**4.\nAnswer: -4*n**3*(n + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -17\/3*m**3 + 167\/2*m**2 - 10 + m**4 + 0*m. Find the second derivative of b(z) wrt z.\nAnswer: 24*z - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 p when three letters picked without replacement from dpxxxxdpxxdxdx?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 4:16 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5326 = 83*g - 3915 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -349274321 + -7.\nAnswer: -349274328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*a - 58*a + 56*a - 143*a.\nAnswer: -179*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -17, -7124?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8284 and 28340?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 307925363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.93 - 0.07. Let h = -0.05 + -1.05. Let p = -6.1 - h. Which is the closest to k? (a) p (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/4)\/1 - 1. Suppose i - 4 = 0, i + d = -h + 7. Suppose 0 = h*q - 3*f - 9, -2*q - 3*f - 2*f = -41. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84487 and 51701?\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-555)\/(-33) - 8\/(-44). Suppose -4*x = -g - 11. Solve x = 3*s - u, -u - 2 + 4 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24900 is divided by 4067?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + 0)*5 + -2)**2.\nAnswer: -80*sqrt(11) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-9)\/2*(45\/(-30))\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*d*f**6 - 122*d*f**5 + d*f**2 + 764*f**2 - 3 wrt f?\nAnswer: -1560*d*f**3 - 7320*d*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28.6 - -26.6. Let m = -0.12 + 0.16. Sort k, 2, 0.1, m in descending order.\nAnswer: 2, 0.1, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3915 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*k**4 + 3*c*k - 81*c - 61*k + 2 wrt k.\nAnswer: -4*c*k**3 + 3*c - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + s - 1. Let q(f) = -21*f**3 - 15*f + 33. Let u(t) = -15*n(t) - q(t). Differentiate u(g) wrt g.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 8*c - 481 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/t**(-6\/7)*t)\/t)\/(t\/t**(3\/14)*t))\/(t\/t**(-3))**(1\/15) assuming t is positive.\nAnswer: t**(169\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3913525 divided by 3325\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqm when three letters picked without replacement from mqqxffffqmfmxxymffq?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13540?\nAnswer: 2, 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1725527560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17\/944 + 597\/9440. What is the common denominator of c and -53\/670?\nAnswer: 10720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 22. Suppose 12*z + g = 13*z. Let q(f) = z*f - 41*f + 19*f - f**2. Calculate q(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/5 and -47\/237751.\nAnswer: 1188755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -230759\/15 or 45?\nAnswer: -230759\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1188, 2406, 3620, 4830, 6036, 7238, 8436?\n\"Answer: -2*m**2 + 1224*m - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2653256*d**2*n**4 + 5*d**2*n + d*n + 1772*d - 24*n wrt n.\nAnswer: 31839072*d**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 + 0 + (0 + 1 + 3)*(8 + 2 - 4))*(2*g + 0*g - g)*(2*g - 3*g - g) to the form a*g**2 + i + j*g and give a.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (3 - 2) - -1 - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 w when four letters picked without replacement from {d: 2, k: 8, o: 5, w: 2}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h**2 + 17*h + 19. Let n(u) = 4*u**2 + 9*u + 10. Let v(k) = -5*n(k) + 3*t(k). Suppose -134*p + 826 = -252*p. Give v(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 25, 47, 87, 151?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 3*m**2 - 2*m**2)*(-1 + 3 + 0) + 4 - 4 - m**2 + 3 - 3 + 2*m**2 + m**2 - 4*m**2 + m**2 + 6*m.\nAnswer: 3*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/5)\/((-60)\/(-75)))\/1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 40 = g, -3*g - 3*u + 176 = 44. Suppose -44*i - 4240 = -g*i. Calculate the highest common factor of i and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fennernineiiiio. What is prob of picking 1 f, 1 o, and 1 i?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**2 + 4060*p - 16160 = 0 for p.\nAnswer: 4, 808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000101000000 (base 2) in base 16?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 7*q - 10. Let w be r(5). Suppose k - 4 - 4 = w. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 30069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - d + 4*d)*((-6 + 3 + 5)*(-5 + 1 + 3) + (3 + 0 - 1)*(5 - 4 - 3) - 3 + 5 - 3)*(d + 0*d - 3*d).\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (145*l + 127598 - 127598)*(2*l - 4*l + 4*l).\nAnswer: 290*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) -1\/4 (c) -2 (d) 63 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 580\/180 - (-3)\/(-1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 + -77. Suppose -2*k = -j + 1 + 25, -h*k + 67 = 3*j. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -303 + 326. Suppose 73*w - k*w = 5400. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 48, 52, 56, 60, 64, 68?\n\"Answer: 4*g + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -17*h**2 - h. Let m be (-75)\/21 + (-4)\/(-7). Let x be b(m). What is x rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 33, -3, 2\/11, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4814 - 2992*r + 2408 + 2406 - 204*r)*(3*r + 2*r - 6*r - 3).\nAnswer: 3196*r**2 + 9588*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -176, -734, -1674, -2990, -4676, -6726, -9134, -11894?\n\"Answer: b**3 - 197*b**2 + 26*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*q = -34440, 2511 + 4362 = c - 2*q. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.02, 17\/6, -602\/115?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/5)\/((-20)\/(-116)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -0.2, 2025, -8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -12234.72238 to the nearest 100.\nAnswer: -12200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 1965*w**2 + 23*w + 42. Let q be o(-9). What is q rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3160181, -3160197, -3160213?\nAnswer: -3160229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-8)\/d)*d)\/(d**(6\/17)*d))\/(d\/(d\/d**(-24))*d**(-15)\/d) assuming d is positive.\nAnswer: d**(844\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 8:28 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3 + 5*k + 0 - k**2 + 0. Let r = 17 + -12. Calculate the remainder when 4 is divided by i(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(128) + -1) - (-2 + 2*sqrt(128)))*-5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, v: 3, w: 4}. Give prob of picking 1 w and 1 p.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110011101011000011110 (base 2) to base 6.\nAnswer: 330105010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 763670 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 13) to base 2.\nAnswer: 110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -237071 + -5?\nAnswer: -237076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -20*w + 242. Let g be b(12). Let -13*z**g - 34*z - 12*z**4 - 4*z**5 - 42*z**3 - 22*z**4 - 16*z + 143*z**2 = 0. What is z?\nAnswer: -5, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 174*k**2 + 2530*k + 285. What is v(-158)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 2249.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-4) - (2 + 0). Suppose -8 + 0 = 4*s. What is the closest to h in 0.4, s, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 15 + 5. Let l be (2 + (-3 - -1))\/1. Suppose 3*g - 4*b = -0*g + 14, l = -5*g + b + 12. Calculate the remainder when c is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 146. Give c(19).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20724\/232518 - (-3)\/39. Is 0 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.89 + 13.11. What is the closest to -1 in v, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 154 and 1580.\nAnswer: 243320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 8*i + 19. Let u be (8\/(-3))\/(-10*(-16)\/(-240)). Let y(t) = 3*t + 6. What is u*j(l) - 11*y(l)?\nAnswer: -l + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*q + 232*q + 8183 - 16962 = 13581 for q.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 15*y**2 - 9*y + 105. Calculate t(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 305\/4 - 77. Let r = -0.8 + 1. What is the nearest to r in -3, -2\/7, g?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 4*u**5\/15 + u**4\/6 + 19*u**2. Find the second derivative of z(g) wrt g.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-208)\/4)\/26*(-18)\/(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*g**3*r*w**2 - 4416*g**3*w**2 + 2*g*r + g*w**2 + 21*r*w**2 - 4*r*w + 141*w wrt g.\nAnswer: -204*g*r*w**2 - 26496*g*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - (sqrt(209) - (sqrt(209) + 2*sqrt(209) - sqrt(209))*-5) - sqrt(209))\/((2*sqrt(77))\/sqrt(7)).\nAnswer: -11*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103*s + 169*s - 19*s + 1771 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 3*z - 2. Suppose 4*h - 20 = -h. Let m be k(h). What is the second derivative of -5*x + x**2 - m*x**2 - 7*x**2 + 3*x**2 wrt x?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07 - 0.87. Let c = k - -0.5. Let v = 4 + -3. Sort 5, c, v in descending order.\nAnswer: 5, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 11*t**2 - 24*t + 13. What are the prime factors of i(-4)?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.168112 less than -12901437?\nAnswer: -12901425.831888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -12 + (-17 - -16) + 24?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 10 + -18 + -1 + -3 - (1 + -63)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -29*l + 10. Let j(y) = 15*y - 5. Suppose c = 5*c - 16. Let i(a) = c*n(a) + 7*j(a). Let g(v) = 5*v - 2. Give 7*g(f) + 3*i(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(7 - 9 + 11)*(0*o**2 - 5*o**2 - 2*o**5 + 24*o**2).\nAnswer: -18*o**5 + 171*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*r = -187*r + 240. Let w(l) = -4*l + 2. What is the least common multiple of w(-5) and r?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2350*f - 2351*f + 5*u + 21 = 0, 4*u + 20 = 4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-1 + 1 + 2*p) + (5 - 2 - 1)*(-159759 - 3582*p + 159759) + (6 - 4 - 1)*(3*p + 2*p - 3*p).\nAnswer: -7160*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117636 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from mddd.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20*1*(-4)\/10. Let x = t - -10. Solve 5*c + 3*y - 4*y + 20 = 0, 3*y = -x*c - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.52*1\nAnswer: -10.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 180\/7260*-8*(-33)\/144\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 164*a**2*p*s - 178*a**2*s - 144*a**2 + 777*a*p*s - 42*a*s - 2*a - 11*p*s + 1 wrt p.\nAnswer: 164*a**2*s + 777*a*s - 11*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -137359937.99999973 + 137359937. Let f = -1 - z. What is f rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*j = -201*j + 2924. Suppose -18 = -5*z - 5*l - 178, 28 = -z + 3*l. Let m = z + j. Solve -3 = m*n + 5*x, -n - 2*x - 1 = 3*x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.8, 0.097, -3, 1\/14, -5, -2\/3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1, -0.156, -38, -0.049?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25*24\/(-180))\/((-115)\/(-414)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r**3 + 7*r**2 - 2*r. Let p(z) = 11*z**3 + 12*z**2 - 5*z. Determine -5*d(h) + 3*p(h).\nAnswer: -2*h**3 + h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 25*r**2 + 1849*r - 73. Calculate u(-74).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 63138614.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*z + 222, 5*l = 6*z - 4*z + 1137. Let s = 907\/4 - l. Let y be (6\/8)\/(1 + 0). What is the biggest value in s, y, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2005 (b) 18\/13 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -1, -63291, 5, -5 in increasing order.\nAnswer: -63291, -5, -3, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*v + 2*v - 2, 17 = -4*s - v. Let i be 1\/4 + s\/(-4). Sort 3, 2, i in ascending order.\nAnswer: i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -293.0958 - 13914362.\nAnswer: -13914655.0958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4168 = -5*r, 0 = 4*r - 2*r - 2*x - 1664. Is 76 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 133*c - 355. What are the prime factors of l(30)?\nAnswer: 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 366.3 + -366.5. What is the nearest to 0.8 in -0.5, 2\/17, h?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-9))\/(18\/(-27))*1\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02812008566 to four decimal places.\nAnswer: 0.0281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 s when four letters picked without replacement from rsssssrssrsssssrrs?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-5 - -4) - (1 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*v - 310*v = 426*v - 68*v - 17887 for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/(-1188) - 2\/9. Which is the second biggest value? (a) 4\/5 (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3299, 4245, 5191, 6137, 7083, 8029?\nAnswer: 8975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5c7c + -61?\nAnswer: -6010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (216\/63)\/((52\/(-182))\/((-2)\/14)). Suppose -3\/7*w**5 + f*w**2 - 3\/7*w + 12\/7*w**4 + 0 - 18\/7*w**3 = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014172792 to 5 decimal places.\nAnswer: -0.01417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 116341898 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 553.\nAnswer: -552.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -702 - -702.925. What is c rounded to two dps?\nAnswer: 0.93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 629\nAnswer: -13\/629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -249, -876, -1883, -3264, -5013, -7124, -9591?\n\"Answer: c**3 - 196*c**2 - 46*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 6, b: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 4*n**2 + 4*n + 4. Let p be o(-5). Suppose 968 = p*q - 382. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 719 = 77. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 0*t**4 + 0 + 0*t**3 + 7\/2*t**2 - 2*t - 1\/6*t**6 + 0*t**5. Differentiate q(g) with respect to g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -41270 and -1.\nAnswer: -41271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(7) - sqrt(70)\/(sqrt(90)\/sqrt(9))) - (-5 + sqrt(14)\/sqrt(2)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 362132330?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 - 47. Is z greater than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 18*q**2 - 50*q + 201. Determine b(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 - 26*c + 55*c - 30*c + (-4 + 1 + 1)*(4*c - 6*c + 4*c).\nAnswer: -5*c - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 1816.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 7*i**3\/2 - 121*i. Let q(a) = -12*a**2. Determine r(q(l)).\nAnswer: -252*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 - -0.1. Let z = 6.99 + o. Let q = z - 7.2. What is the second smallest value in q, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - -2) + (-1561)\/119 + 5. Let n = 3 + -2. What is the closest to -3\/4 in j, n, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -14*s**2 - 3*s + 14. Let y(k) = -20*k**2 - 4*k + 16. Calculate 3*w(u) - 2*y(u).\nAnswer: -2*u**2 - u + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -3655265 in descending order.\nAnswer: 5, -1, -3655265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 11.29418.\nAnswer: -146.82434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140481 (base 11) to base 16.\nAnswer: -35c1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + b = -28. Suppose -7*j - 224 = -63*j. Suppose j*o - 19 + b = 0. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o = 4*o + 28. Suppose -m = -3 + o, -2*m + 2 = 2*w. What is the first derivative of 73*u + 1 - w - 88*u - 3 wrt u?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 12*t + 15. Let d be s(12). Solve -k = 2*k + d for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 9:46 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 151.7062 to 0 dps.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -57*p**2 - 6. What is f(1)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**5\/5 - 3*b**4\/5.\nAnswer: 3*b**4*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/4 - 33\/12. Let c be (2\/a)\/((-4)\/18). Suppose 2*r = c*r - 19. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*b = -15. Suppose -2*y + 359 = 5*w, 4*w - 906 = -b*y - 0*y. What are the prime factors of y?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 46*a**2 + 128*a - 42. Let y be q(-43). Let w = -3 + 3. Let g = w - 4. What is the second smallest value in g, -5, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6044 - 3015 - 2965 = -8*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - w = z + 8, -5*z = 2*w - 26. Let q = 598 + -600. Let s = z + q. Solve 0 = -6*j + s*j - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-4)\/(-6)*51\/(-85)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a**2 - 11*a - 20. Let g(i) = -3*i**2 + i + 1. Let p(z) = -d(z) + 2*g(z). Let p(y) = 0. Calculate y.\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 2*d - d + 6*d**2.\nAnswer: 6*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((6\/56)\/1). Let q = 424 - 47. Let l be (q\/39)\/(2\/(-6)). Which is bigger: l or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (-1 - -3) + -3. Suppose -c = -m - j*m - 15, -c + 2*m + 10 = 0. Solve -h + 5*h = c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 186757 by -186757.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3\/3 + 3042*y**2 - 109636*y\/3 + 60920 = 0. Calculate y.\nAnswer: -9138, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5237*g**2*r*x**5 + 2*g**2*r*x**2 - 3*g**2*r - 80*g**2*x**2 - 2*g*r*x - r*x**5 - 12*r*x**2 - 1 wrt x.\nAnswer: 314220*g**2*r*x**2 - 60*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -9)\/((-6)\/(-4)). List the prime factors of ((-10)\/(-15))\/(v\/246).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -4\/3, 0, 7, -2, -2\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 92 = -4*n, d + 2*d - 147 = -3*n. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 112439804?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 222207363883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16721 = -3*h + 274643. Does 42 divide (h\/(-54))\/(-1) + (-1)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/14))**34*(w**(2\/5))**(-4\/23) assuming w is positive.\nAnswer: w**(29269\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rawrwoww. Give prob of sequence aw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67*a*m**4 + a*m**3 - 523*a*m**2 - 2*a*m wrt m.\nAnswer: -1608*a*m + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11054*w + 3608*w + 1981*w - 5643*w - 10263*w to b*w + y and give b.\nAnswer: -21371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 483*z - 3 - 9 + 19 to l + k*z and give k.\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 1 + 1, 5*f = r - 6. Let p = -2 - 0. Let g be -2 + -1*(p + 0). Solve c + r + 2 = g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38400729 is divided by 896.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-3)\/(-15)*(-30)\/24.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 93 - ((-6 - 0) + -1). Suppose -4*z - 16 = 0, 3*z - p = -i + z. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**2*i*j - 68*c**2*j**2 + c**2 + 3*c*i*j**2 + 2*c*j wrt j?\nAnswer: -136*c**2 + 6*c*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5132, 20437, 45820, 81185, 126436, 181477, 246212?\nAnswer: 320545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - -8. Let j(o) = 2*o**2 + 4*o - 45. Calculate the lowest common multiple of g and j(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) 1 (c) 4\/25 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25479?\nAnswer: 3, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 a when two letters picked without replacement from aamlkvaamkaglkm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16598, -48299, -80000, -111701, -143402?\nAnswer: -175103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1806491 or 3\/8?\nAnswer: 1806491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (4\/5 - (-351)\/5). Find the common denominator of 71\/30 and (220\/t)\/(-5)*(1 - -32).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t + 4. Determine d(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -451*o**2 + 5. Let v(l) = 451*l**2 - 4. Give 4*a(f) + 5*v(f).\nAnswer: 451*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 9:18 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 360359605 to the nearest integer?\nAnswer: 18983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -31*t + 4. Let c(v) = -26*v - 171. Let b(w) = 53*w + 400. Let l(s) = 6*b(s) + 14*c(s). Determine 8*h(i) - 5*l(i).\nAnswer: -18*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-185)\/70 + 6 + -3)*14. Let o(l) = -9*l + 1. Let m be o(-1). Solve -s*p + m = -c, -3*p - c = -3*c - 13 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -7e?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28320427 to the power of 1\/2, to the nearest integer?\nAnswer: 5322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 280999807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvv when three letters picked without replacement from {o: 4, p: 1, v: 4, y: 3, a: 7, x: 1}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10707, -42999, -96867, -172311, -269331, -387927, -528099?\nAnswer: -689847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 49565, 49567, 49569, 49571, 49573?\n\"Answer: 2*h + 49563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*o - 7*o - 3*o**2 - 2 - o**2 + 2 + (-5 + o + 5)*(-2*o - 2*o + 6*o) - 2*o**2 - o**2 + o**2 + (-o + 0*o - o)*(0 + 0 - o) + 2*o - 2*o - o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**4\/4 + 18*r**3 - 102*r**2 - 359*r. Factor s(c).\nAnswer: -3*(c - 34)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(0 + 11\/(-2)). Let l = -36 + 36.1. Which is the closest to -0.1? (a) -2\/9 (b) o (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206013 is divided by 116?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46038.0513112 + 46038. Let t = -0.02868845 + o. Let a = 0.08 + t. What is a rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436*h - 24 = 424*h + 36 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 4*g + 38)*(-1 + 2 + 0)*(14*g + 12*g - 27*g)*(0 + 2 + 1).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, h: 8, i: 2, g: 7}. Give prob of sequence gg.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 113*t**8\/84 - 3*t**5\/5 - 5*t**2 - 13*t. Find the third derivative of i(b) wrt b.\nAnswer: 27120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**3*p**2 + 171*d**3*p - 5*d**3 + 2*d**2*p - 8*d**2 + d*p**2 - 2*p**2 wrt d.\nAnswer: 18*p**2 + 1026*p - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19678 (base 16) to base 10.\nAnswer: -104056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 588\/(-7056) + 2762\/24. What is the highest common factor of 8579 and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(45) + sqrt(405)*-4 + ((sqrt(720) + 1 + sqrt(720))*-5 - sqrt(720)) + -2)*3 + 0.\nAnswer: -495*sqrt(5) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 528, 522, 516, 510?\n\"Answer: -6*q + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 0 + 3*o - 4)*(1639*o - 32 - 16 - 4805*o + 48) to the form c*o + k + f*o**2 and give f.\nAnswer: -3166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 i, and 1 f when four letters picked without replacement from iffiwq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 - 4*k**2 - 4*k - 2. Let u be p(-2). Suppose -u - 42 = -2*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(14)\/(sqrt(28) - sqrt(7)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -248*k**6*r + 2*k**6 - 3*k**2*r - 2*k*r - 408*k wrt k.\nAnswer: -29760*k**3*r + 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28441176*q + 21715276?\nAnswer: 28441176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5037997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3267*o**5 + 7788*o**4 - 424844*o**3\/3 - 2464960*o**2\/3 - 4798144*o\/3 - 3195392\/3 = 0. Calculate o.\nAnswer: -316\/99, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 37*y**2 - 39*y + 1401. Determine o(37).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45592*g**3 - 65*g**2 + 4*g + 45085938.\nAnswer: 136776*g**2 - 130*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.1 + -2. Which is the nearest to -2? (a) -2 (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6543?\nAnswer: 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -264 + 287. Let p = 26 - z. Let k(g) = 3*g**3 - g**2 + 5*g. Let d(t) = -3*t**3 + t**2 - 4*t. Give p*d(v) + 2*k(v).\nAnswer: -3*v**3 + v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: 45456366 divided by 3\nAnswer: 15152122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 56.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 150, 301, 450, 597?\n\"Answer: -v**2 + 154*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 46035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52973?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25 - -4c2?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356684 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-631)\/(-3) - 4\/(-6). Suppose -f + p = -2*g, -2*f + 6*f = -5*g - 495. Round g to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -60*a. Let b(t) be the third derivative of -t**5\/30 - 7*t**2 - 4. Give o(b(u)).\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = j + 6. Suppose -55 = 5*m - 5*y + 10, 0 = 4*m - y + 43. Calculate the remainder when j is divided by m\/((-4)\/(-2) - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by 1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9393 = -3*o + 29274. Let w = o + -3867. Round w to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 5*a**4\/4 - 11*a**3\/6 - 7*a. Let q(c) = -4*c**2 + 3*c. Let v(t) = -6*i(t) - 22*q(t). Let z(u) = 4*u**2. Give v(z(p)).\nAnswer: -32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + t**2 + 2*t + 142. Let m(j) = j - 2. Let a be m(2). Is y(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -159 + 200. Calculate the greatest common divisor of y and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -y + 4*b, 6*y + 4*b = 5*y - 11. Let i(j) be the third derivative of j**5\/60 + j**4\/6 + j**3\/2 - j**2. What is i(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 7:38 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srts when four letters picked without replacement from {s: 6, e: 2, r: 2, t: 2}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 7 - 18 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -42*t**2 + 0*t + 0 - 1\/12*t**4 - 5\/6*t**3. Let q(n) = -1. What is -4*q(f) + z(f)?\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-56)\/(-20) - 2*3\/(-30). Suppose o - 31 = -2*p, o + h*o = 5*p - 45. Solve -5*g + p = -3*q, 2*g - 2*q + 0 = 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*h = -230*h - 445*h + 8748 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2863923931?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/597 - -605\/1194. Is 125 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 46. Is -4 + (686 - -1 - c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -590 - -593. Suppose -4*k - 283 = -m, c*m + 28*k = 26*k + 835. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, b: 1, u: 1, w: 1, a: 1, g: 1}. What is prob of sequence kb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 343741340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 15*s**2 + 18*s + 12. Let f be v(16). Let j be (-106)\/22 + ((-52)\/f - -1). Let d = j - -56. Round d to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*s - 12 = 0, -2*s + 6 = 3*k - 0*s. Sort k, -11, -2.\nAnswer: -11, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4496 - 1452 - 2024)*((0 - 1 + 0)*(2 + 5 - 5) - 1 + 4 - 2)*(-2 + 2 + p).\nAnswer: -1020*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 8*x + 60 = 0. Let w be x\/6*(-2 + -1). Let l(p) = -p**3 - 2*p**2 - p - 2. Let j be l(-2). Sort w, 5, j in decreasing order.\nAnswer: 5, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0 (b) -1 (c) -159 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 34*x - 418. What is s(31)?\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppx when three letters picked without replacement from sxpnxpcpp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -78802.83 and 0.1?\nAnswer: 78802.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.3295 + 0.152. Let t = -0.2155 - z. Let i = t - 19. Round i to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4956338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/629244 and 191\/943866.\nAnswer: 1887732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -443 divided by 218?\nAnswer: -443\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -111762\nAnswer: -558810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 2 - (6 + (-14 + 10 - 4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -199549, -199554, -199559?\n\"Answer: -5*b - 199544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.187 - -0.013. Which is the closest to -1\/5? (a) g (b) 3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -669170 divided by 92\nAnswer: -334585\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 0 - 7 + 13 - 8 - f. Calculate v(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3134505 (base 6) to base 10\nAnswer: -152681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - x = -3 + 1, -5*u - 5*x + 10 = 0. Solve 4*c = -16 - u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44245105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*h**2 + 0*h - 10*h + 0*h - 4*h to n + g*h + b*h**2 and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-22)\/((-528)\/72))\/1. Factor 1\/2*r**5 - 3\/2*r + 0 - q*r**3 + 4*r**2 + 0*r**4.\nAnswer: r*(r - 1)**3*(r + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/((-7)\/(-105))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 977 is divided by 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 - 13561*z\/2 - 628038.\nAnswer: (z - 13653)*(z + 92)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1282346709?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 186505185 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 532466?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 5:29 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 3:51 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**3 + 22018*i**2 - 614990*i + 592974 = 0.\nAnswer: 1, 27, 10981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 - 63\nAnswer: -63.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 19127*t + 248636. Calculate a(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5496540 to the nearest integer?\nAnswer: 2344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 0*f + 0 + 1\/2*f**3 - 1\/24*f**4 + 9*f**2. What is the units digit of d(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13137662 and -5?\nAnswer: 13137657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, a: 3, c: 5, h: 3}. What is prob of picking 3 h?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 13*k + 179. Let f be g(-9). Suppose -2*m + 6 + 8 = 0. Let c = m + f. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**2 + 2*u - 1. Let w(q) = -2*q + 2*q - 3*q**2 + 2*q + 0*q. Calculate 2*t(x) - 3*w(x).\nAnswer: x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76098519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 3483 + -3484. Let p = 17 + -12. Sort p, x, 0.3, -2 in ascending order.\nAnswer: -2, x, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/180)\/(9\/6 + -2). Let s(a) be the first derivative of 3\/10*a**2 + 3 - 3\/25*a**5 - x*a**6 + 1\/5*a + 2\/15*a**3 - 1\/10*a**4. What is n in s(n) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 + 40 = -9*n. Let d(m) = 5*m - 5. Calculate the remainder when d(n) is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/8 + (-2115)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/526 and 1\/4.\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y - 3. Let t(g) = 17*g**2 + 205*g - 17. What is the remainder when t(2) is divided by d(-6)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 134\/17, 3, -1\/2?\nAnswer: 134\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2482 not equal to 2482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.05267*-4\nAnswer: -0.21068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 44210374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1056 = 47*w - 35*w. Let d be (9\/27)\/(2\/516). Let c = d + w. Sort 0, c, -5.\nAnswer: -5, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146276 to the power of 1\/2, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -847*t**5\/9 - 935*t**4\/9 - 17*t**3\/3 + 35*t**2\/9 - 2*t\/9 = 0.\nAnswer: -1, -2\/7, 0, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1244 and 1.41.\nAnswer: 1754.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + 2*(-12)\/8. Solve 2*z + 2 + n = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a millennium in decades?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 12:02 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.071 - -9.671. Let g = v - 10. What is the third biggest value in g, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1705692?\nAnswer: 2, 3, 307, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9804 and 646.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 13*v**2 + 22*v + 4. Let k be f(-11). Suppose -488 = -4*s + k*a, 5*s + 2*a = -3*a + 580. Suppose 55 = 2*y - s. What are the prime factors of y?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -17*g**2 + 51*g - 79. Let x be c(-12). Calculate the highest common factor of x and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l. Suppose 40 - 50 = -5*q. Let c be j(q). Suppose 5*h + 12 = -4*u, -4 - 8 = 3*h. Solve u = -2*t - 0*v + v, -c = -5*t - 4*v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 w, and 1 z when three letters picked without replacement from {w: 1, c: 1, z: 10, k: 4, m: 2}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-4*(sqrt(45) + sqrt(270)\/sqrt(6))\/sqrt(9))**2 - (4 + 2 + 2*sqrt(180))**2) + 1.\nAnswer: -144*sqrt(5) + 2125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w = -5*q - 8*w - 15, -3*q - 4*w = -5*w + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (-3 - (-7 + -44))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p. Let r be a(-2). Suppose -s - 6 = -r*l - 1, 2*l - 13 = -3*s. Suppose 0 = -l*j - 13 + 47. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -2\/21 (b) -14 (c) 3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*p - 4*x, -234*x = 5*p - 231*x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1, 5, 20, 3, 10 in increasing order.\nAnswer: 1, 3, 5, 9, 10, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9514794?\nAnswer: 2, 3, 1585799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g**3 + 8*g**2 + 5*g + 3. Let p(a) = -a**3 - 2*a**2 - a + 1. Let v(o) = j(o) + 3*p(o). What is v(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynnyyyayayy. What is prob of sequence ynyy?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -728 - -5017. Find the second derivative of -14*q + 10*q**5 - 4*q + r*q**2 - 4290*q**2 wrt q.\nAnswer: 200*q**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232332 (base 4) in base 8?\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 951411.\nAnswer: 3, 103, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 4*b**2 - 5*b - 3. Let f(w) = -7*w + 4. Determine -3*f(x) - 2*m(x).\nAnswer: 5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11411 - 2*c + 9*c + 5*c - 13*c.\nAnswer: -c - 11411","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**3\/3 + 100. Let u(o) = -5*o + 28. Let f(c) = -11*c + 57. Let r(a) = -2*f(a) + 5*u(a). Calculate r(l(w)).\nAnswer: 3*w**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*n + 78, 2*s = -n + 12 + 15. Let y(h) = -3*h**2 + 3*h - 1. Let l be y(2). Let c be 2\/l + 37\/7. What is the greatest common divisor of c and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.104 + -0.004. Let p = -3.7 - -4. Let v = x + p. Sort 0, 1\/3, v in ascending order.\nAnswer: 0, 1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 890 = 161*n - 249*n - 5171 + 957 for n.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 4936*s - 345*s + 5281*s + 56*s**2.\nAnswer: 56*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s + 12*s - 3*s**2 - 4*s - 1 - s**3 - 11*s to l + b*s + j*s**3 + i*s**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.4, -0.1, -519, -1\/2 in decreasing order.\nAnswer: 0.4, -0.1, -1\/2, -4, -519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = -57 + 22 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 11*h + 2. Let v(d) = -2*d**2 - 17*d - 3. Calculate -5*v(b) - 8*y(b).\nAnswer: 2*b**2 - 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-5) + 21\/5. Let q be (-10)\/(-2 - (0 - 1)). Suppose -6 = -2*h - 2*v, 0*v - q = 5*v. Put l, h, -4 in descending order.\nAnswer: h, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 15*s - 33. Let q be y(5). Suppose -603 = -5*g + 2*c + q, 5*c - 610 = -5*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 12:59 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-32)\/(-80))\/(2\/(-40)). Let x be (r - -7)\/(1\/(-28558006)). Let a = 341994 + x. Round a to the nearest 1000000.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = 0, -4*k + 16822 - 1627 = -3*a. Suppose -864 = -3*q + k. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 284331863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 623 = 33*v + 8642. Which is the third smallest value? (a) -0.04 (b) v (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -732 + 732. Solve -2*w + 23 = 2*n + 3*w, 5*n - 4*w - 8 = j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2943*v - 455*v**4 + 2943*v)*(3 + 4 + 6).\nAnswer: -5915*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 9. Let v = -2.6 - x. Which is the third biggest value? (a) -0.3 (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189135 is divided by 3104.\nAnswer: 2895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 30, 2\/7, -69.5?\nAnswer: -69.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 2\/5, 1\/17, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 200 - (-1 + (-2)\/1). Suppose -m + 4*d = -b, m - 2*d - 218 = -d. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-198240)\/(-1770)*((-2)\/1)\/(-16)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-6) - 2)\/(4\/48)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -940 - -1108. What is the highest common factor of h and 392?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 221 - 61. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2356 divide 53138517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72924 and 493164.\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + 6*(-2*sqrt(91) + sqrt(91)))\/((sqrt(112)*-2 - sqrt(7)) + sqrt(7)).\nAnswer: 5*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s - 5. Let y be l(5). Suppose -j + 6*j + y = 0. Which is bigger: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 24*c - 131. What is p(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -g + 19. What is the remainder when g is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 43. What is the nearest to 4 in k, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -176319 divided by -58773\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 37 = 4*s, s - 5*m = 2 + 1. Let j = -5 + s. Suppose 0 = -3*v + 4*v. Which is the nearest to -1? (a) -3\/4 (b) v (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 d when two letters picked without replacement from {c: 1, s: 2, d: 1, j: 1, b: 1, e: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(5\/2)\/(p*p*p\/p**(2\/11)))\/((p\/p**(-2\/3))\/p)**(-1\/4))\/((p\/p**(-2\/5)*p*p)**(-8\/17)*p*p*p**(-5\/4)*p\/p**6) assuming p is positive.\nAnswer: p**(3761\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - sqrt(171)*2*5 - sqrt(171) - sqrt(171)) + sqrt(171))\/((2*sqrt(99) + sqrt(99))\/sqrt(11)).\nAnswer: -10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -7 - 18 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 3528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4374 - 4359. Solve -45 = -u*s + 30*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2*(-945)\/(-126)*2\/130)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 2, k: 3, b: 1}. What is prob of sequence kk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 1273719*t.\nAnswer: 3*t*(t + 424573)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 + 295*a**2 - 3 - 591*a**2 + 298*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5003, -20013, -45029, -80051, -125079, -180113, -245153?\n\"Answer: -5003*w**2 - w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 285 + -277. Let r be (2\/(-6))\/((m\/(-42))\/4). Solve 3*j = 4*g + 16, 5*j = r + 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121463.3 nanograms to tonnes.\nAnswer: 0.0000000001214633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 514723 divided by 514723.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 37800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d + 4. Let b be j(3). Put b, 2, -4 in descending order.\nAnswer: 2, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, -1725 in descending order.\nAnswer: 9, -3, -1725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-11\/5)*k*k*k**(-8\/3)\/k assuming k is positive.\nAnswer: k**(-58\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14214 + -11?\nAnswer: -14230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68.5, 3\/8, 0.1, 2906 in increasing order.\nAnswer: 0.1, 3\/8, 68.5, 2906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*i*s*w - 1758066*i*s - 8*s*w - 17271*w**2 wrt w?\nAnswer: 3*i*s - 8*s - 34542*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.64 - -1.24. Let m = -2.6 - z. What is the third biggest value in -4, m, -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24058920 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -381*d**3 - 8*d**2 - 86*d. Let p(k) = 3049*k**3 + 68*k**2 + 689*k. Let g(a) = -17*o(a) - 2*p(a). What is the second derivative of g(j) wrt j?\nAnswer: 2274*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 + m - 1. Let z = -84 - -82. Let a be f(z). Solve 0*q - q = 2*s - 5, -4*q = a*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssfxxxxxrexxrrxxx. Give prob of picking 1 r, 1 f, and 2 s.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -673*u + 102232474 = 17766936. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0043 and 0.0252.\nAnswer: 0.0209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(833) + -1 + sqrt(17)*-2.\nAnswer: -3 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*h - 93406 + 2905*h**2 + 93406 - 2900*h**2 - 28*h.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s - 38 = 55*s + 88 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -116.1 (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 302030 (base 4) in base 13?\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {n: 9, y: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 64*u**2 - 178*u - 202. Give h(61).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: -9.54698 * -109\nAnswer: 1040.62082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**3 - 3*b**2 + 5*b. Let z(o) = 3*o**3 - 2*o**2 + 2*o. Determine -2*m(f) + 5*z(f).\nAnswer: 3*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**3*t*t**(3\/7)*(t**(-1))**(-2\/9) assuming t is positive.\nAnswer: t**(-22\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*k - 252*k = -39 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -474*c**3 + c**2 + 0*c**2 + 28*c + 467*c**3 + 11*c wrt c.\nAnswer: -42*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 567741118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2173 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, c: 1, m: 5, u: 1, y: 1}. Give prob of sequence cy.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 15*d**2 - 4*d - 3. Let m be o(-3). Suppose -4*z = c - 5*c + m, 3*z = -2*c + 62. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17865.\nAnswer: 3, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 1 (c) 0.04 (d) -2 (e) -8460 (f) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/(33\/(-45)) + 6\/(-2). Let k be (4 - 24\/9)\/(4\/9). Put w, k, -3 in increasing order.\nAnswer: -3, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2853328 a multiple of 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*(sqrt(68) - (sqrt(68) - sqrt(68)*1)))\/((sqrt(196)*-4 - sqrt(196))*-6).\nAnswer: 4*sqrt(17)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121\/7 + -17. What is the second biggest value in 0.4, w, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/3)*(z*z\/z**4)\/z)\/(((z\/z**(2\/39))\/z)\/(z*z**(1\/10)\/z)) assuming z is positive.\nAnswer: z**(-851\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -8. Suppose 0 = -7*b + y*b - 1468. Suppose p = 3*o + b, 2*p + 2*p + 5*o = 2987. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-6050)\/495)\/11)\/((-85)\/8874)\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -45, -5 in ascending order.\nAnswer: -45, -5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 8*i**2 + i + 17. Let w(g) = 16 + 2 + 3*g - 4*g**3 - 2*g + 3*g**3 + 7*g**2. Let n(b) = -5*w(b) + 6*x(b). List the prime factors of n(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-710)\/(-497)*14\/(-65)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5576076 divided by -28162?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8964838 (base 10) to base 3.\nAnswer: 121212110110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by 38?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2318, 2320, 2322, 2324, 2326, 2328?\n\"Answer: 2*j + 2316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*s - 5*a + 20, 4*s - 16 = -3*a. Solve -s*t + 2*d = 2, 2*d + 9 - 8 = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -1b3b?\nAnswer: 1b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 59 + 16. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 104 - 90. Let j = p - 12. Let y(n) = n**2 + n**2 - 4*n**2 + n**j. Let t(a) = -2*a**2. What is y(t(f))?\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryr when three letters picked without replacement from {c: 1, r: 4, m: 2, y: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdffxdfrorxxxf. Give prob of picking 1 f and 1 d.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -1663*j + 59773. Give a(36).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 - 7*o**2 + 4*o + 1. Let x be h(3). Let t be 2\/(-3 + 10\/x) - -3. What is the tens digit of (t - 1370\/(-8)) + (-9)\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.93 - -12.23. Which is the second biggest value? (a) i (b) -2 (c) 30\/29 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 20*w + 108. What is a(14)?\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2402 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -44*i**3 + i**2 + i - 1. Calculate v(1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by -6?\nAnswer: -55\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -443 + 443.2. Which is the nearest to -1? (a) -0.1 (b) j (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -p - q - 2, -3*q + 6 = 0. Let f be (7\/(-7))\/((-1)\/p). Suppose 7*w = -8*w - 30. Sort 2, f, w, -1 in increasing order.\nAnswer: f, w, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5153550 divided by -235.\nAnswer: -21930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 6:09 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5787957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 3*z - 6. Suppose -4*n + 14 = 5*j - 16, -j + 5*n = -6. Let q be j\/(4\/(24\/9)). Suppose -3*y + 11 = q*v - 4, 4*y - 20 = 5*v. Determine t(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*c**2 - c**3 + 3*c**3 + 5*c**4 + 0*c**3 - c**3 wrt c.\nAnswer: 120*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19410, -77535, -174370, -309915, -484170, -697135?\nAnswer: -948810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071617651 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 29. Suppose -4*w = -5*c - 32, -w + 4*c = 7 - 15. Calculate the remainder when o is divided by w\/1 - 4 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 600.2955674 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 344 and 79507.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - x - 1 - 9 = 0, 4*n - 8 = 5*x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 51\/12 + -4 + 14\/40. Which is the smallest value? (a) h (b) -2\/3 (c) -2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 + 183. What are the prime factors of n?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26325*27\nAnswer: -710775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352 = -213*l - 500 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*f = -203*f - 78*f + 12256 + 14155 for f.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 321663 (base 8) in base 15?\nAnswer: 21c7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1353?\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 0*b - 4*b - 1 + 1 - b + (b - 2*b + 2*b)*(-4 + 4 + 2))*(4 + 11 - 2)*((-8*b - 24*b - b)*(0*b + 2*b + 0*b) + b - b**2 - b).\nAnswer: 1742*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 14) in base 3?\nAnswer: -2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.79 * -45863\nAnswer: -36231.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 10. Let d be y(10). Suppose d = 2*n - 61 - 19. Calculate the remainder when n is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.19 - -0.64. Let r = -1059.27 + 1060. Let g = r - x. Which is the smallest value? (a) 0.3 (b) g (c) 0.4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*z - 116*z - 16 = 0. Suppose 7*d + 2*s = z*d + 531, -2*d + 335 = -5*s. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477834551?\nAnswer: 1097, 435583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23760713 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 67*z + 9. Let i be q(9). Suppose -43 - i = -5*g. What are the prime factors of g?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -37, -69, -99, -127, -153, -177, -199?\n\"Answer: a**2 - 35*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*66\/88?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139 + 1411 = 66*x + 40*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*r - 4*h = 192*r + 20, -164 = r + 40*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c*((c**(1\/2)\/c)\/c*c)\/c)))\/c)\/c**(3\/2))**11\/((c**4\/c**(1\/5))\/(c\/(c\/(c**(2\/5)\/c))*c\/c**(1\/5))) assuming c is positive.\nAnswer: c**(-183\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.24 - 0.2399983. What is j rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (11 + 2 - (20 - 18))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 7635.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - s**2 - 2. What is j(-5)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 96*((-3)\/6 - -1). Suppose 4*s = -s + 80. What is the highest common factor of r and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 370*j**2 - 3200*j - 6560.\nAnswer: 5*(j - 82)*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**4\/24 + 10*s**3\/3 - s**2\/2 + 13. Let a(p) be the second derivative of k(p). Does 13 divide a(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 170 and 30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*l - 10 + 38 + 7*l.\nAnswer: -12*l + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30590 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, e: 4}. Give prob of sequence ezee.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 a, and 1 k when four letters picked without replacement from atkutuktuutuuutkt?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-30)*(-1)\/(-2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**6\/30 + n**5\/60 - n**4\/3 + 7*n**3\/6 + 42*n**2. Let b be x(1). Which is bigger: 3 or b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -56. Let c be ((-786)\/8)\/((-1)\/(t + 3)). Let p = -281 - c. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1002611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.015 - 0.015. Let x = -3.43 + 3.3. Let j = x - w. Which is smaller: -7 or j?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 36 = -46*n - 228. Let u(k) = k**2 - 5*k - 2. Let o be u(6). Suppose -3*h = 16 - o. Put h, 1, n in descending order.\nAnswer: 1, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*f**5\/5 - 2972*f**4\/5 - 29918*f**3\/5 - 84696*f**2\/5 - 3096*f\/5 = 0. Calculate f.\nAnswer: -43, -6, -1\/27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 0.08 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5563286 to the power of 1\/3, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28866719 to the power of 1\/2, to the nearest integer?\nAnswer: 5373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24977148 and 2380?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27391 is divided by 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*h - 0*v + 136, -2*v - 124 = -2*h. Suppose -h = -x - 5*x. What is the remainder when 31 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*d - 59*d - 13014. What are the prime factors of d?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(567) + -1)**2 + 0 + ((-2*sqrt(567) + 5)*3)**2.\nAnswer: -1638*sqrt(7) + 21203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212748.\nAnswer: 2, 3, 17729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -1.2 (c) -6148.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 4. Let a be v(3). Let x(z) = 2*z**2 - 13*z + 6. Let y be x(6). Sort a, -5, y in decreasing order.\nAnswer: y, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**2\/2 + 1. Let z(k) be the first derivative of 3\/2*k**2 + 13 + 0*k. What is z(o(v))?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 5*p**2 - 4*p - 4. Let b be t(4). Suppose -91*d = -95*d - 12. Is d at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2909 or 296?\nAnswer: -2909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5922172439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4766*s + 0 + 2382*s + 2381*s + 0.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 p, 1 e, and 1 f when four letters picked without replacement from {p: 3, e: 6, q: 1, f: 2, j: 1}?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 13. Let f = 308 + -4622\/15. Let j = 2751\/2 + -1376. Sort f, t, j in descending order.\nAnswer: t, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g + g**3 - 7*g - 27 + 3*g**2 + 30. Let o be m(-4). Which is the biggest value? (a) o (b) 0 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a factor of 2317121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -27*r - 9. Let m(d) = -7*d - 2. Let f(i) = -9*i**2 - 166*i - 76. Let q be f(-18). Give q*u(p) + 18*m(p).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*i**3 + 83*i - 175 - 37*i**3 - 83*i.\nAnswer: 2*i**3 - 175","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4111, 8250, 12413, 16606, 20835, 25106, 29425, 33798?\n\"Answer: f**3 + 6*f**2 + 4114*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 296 divided by 2886242\nAnswer: 148\/1443121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67*v**4 + 97*v**2 wrt v.\nAnswer: 1608*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 2:27 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oono when four letters picked without replacement from ooonoyn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -656 divided by -2\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2 + sqrt(637) + sqrt(637))**2 + -2.\nAnswer: -84*sqrt(13) + 2555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((34639\/(-2115))\/67)\/(33\/(-18))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-3) + 4\/(-6). Let f be (p\/(-4))\/(33\/12). Let z = 43\/6 - 289\/42. Which is the second biggest value? (a) 4\/5 (b) f (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**3\/6 - 9*i**2\/2 + 12*i. Let n be u(-3). Let h = n + 42. What is the greatest common factor of 24 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1352*z**3 + 350*z**3 - 59822*z + 59822*z.\nAnswer: -1002*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 759*g**3 - 2*g**2 + 758*g**3 + 6*g**2 + 10*g - 1518*g**3 + 2 + g**4 + 7 to the form c*g**4 + l*g**3 + a + h*g**2 + u*g and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22.77000074 + 22.92. Let m = a - 0.15. What is m rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 47*h**2 + 184*h - 11. Determine r(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1352*b = 1789*b + 1789*b - 78880 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3049 - 3047. Solve -4*x = -20*j + 25*j + 15, -x - 7 = -h*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 9, 13*k - 16*k = j - 12 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 220 - 203. Let b(o) = 9*o - x*o + o + 10*o. Let h(u) = 3*u + 4. Determine h(b(p)).\nAnswer: 9*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(-2)*(3 + -1). Let k(g) = g**2 + 6*g - 10. Let r be k(o). Let w = 109 + -104. Sort 0, r, w in descending order.\nAnswer: w, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1 (b) 0 (c) -46 (d) 1 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 375 - 343 + 462 = 0. Solve -g = 10*u - 48 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 2\/81, -16, -1\/2, -5, -2\/11?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 36728496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 3*u + 19 + 24, -4*u = 2*i - 36. Suppose -22 - i = -7*c. Calculate the greatest common factor of 48 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0.3 (b) -1\/8 (c) 1 (d) 21 (e) -103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(4\/3)\/j)\/j**(-1\/18))**(1\/22)*(j*j**(-1\/5)\/j*j)**49\/(j**(-1\/3))**(-20) assuming j is positive.\nAnswer: j**(64541\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 186114985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - 3\/(-3) - -1*7. Let z be 48\/(2 + -4) + i. Let d = 27 + z. Solve 5*y + 3 + d = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8c53 (base 14) to base 10\nAnswer: 24377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**6\/120 + r**5\/20 - r**4\/24 - 2*r**3\/3 - 3*r**2. Let x be l(-3). What is the smallest value in -0.1, 1\/12, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 11:09 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/8*(-4)\/3. Let c = i - -2. What is the second derivative of -o**3 + 5*o - 4*o - c + 4 wrt o?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -7. Suppose i*g + g - 4 = 0. List the prime factors of 78\/g*68\/51.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -3*q**4\/16 - q**3\/2 - 3*q**2\/8 - 8. Solve w(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 954412237.\nAnswer: 19, 89, 564407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -r + 2*s, r - 2*s + 3 = -s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 16*o**2 + 41*o - 17. Let i be 142\/8 + 7\/28. Is 11 a factor of h(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2003 take away 1366?\nAnswer: -3369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5617*z**3 - 6*z**2 + 165*z?\nAnswer: -33702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 19113?\nAnswer: 8\/19113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**3 + 3*d**2 + 2*d + 1. Let t be i(-2). Let f = t - 16. Suppose 3*a + 2 = f. Is 5 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23 and -0.58.\nAnswer: 13.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1 = -3. Let a be ((-2)\/10)\/(1\/5). Is x at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a week in minutes?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 335392156 + -335392167.99999976. Let w = c - -12. Round w to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9350 = -4*l + 14*l. What are the prime factors of l?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 l, and 1 k when three letters picked without replacement from ppklil.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 + 5*k - 21. Suppose 7*c - 8*c + 9 = 0. Let o(r) = r**2 - 3*r + 11. Let j(a) = c*o(a) + 4*n(a). Does 15 divide j(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100 a factor of 918391509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 754 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 282172*w + 572965 wrt w?\nAnswer: 282172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*d**2 + 28*d**2 - 44*d + 46*d + 6*d + 41*d**2 - 114*d**2 - 8*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - n**2 - 1. Let r(j) = 2*j**3 - 22*j**2 + j + 12. Let f(b) = -3*d(b) - r(b). Let t be f(-25). Put 1, 5, -2, t in increasing order.\nAnswer: -2, 1, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 4, -2*x + 12 = -13*n + 10*n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4 - 4 = 0. Suppose 0 = 5*q - q - 20, 5*m + 3*q - 85 = a. Let c(s) = -365*s + m*s**2 + 365*s. Let l(o) = o**2. Calculate c(l(h)).\nAnswer: 14*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59986665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 165*p - 6569. Let n be g(40). What is the greatest common factor of n and 5859?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, 44, 105, 200, 335, 516?\n\"Answer: d**3 + 8*d**2 + 2*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/32780 and 17\/348660.\nAnswer: 3835260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - w - 41 = 0, 31*w - 32*w - 8 = -l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -313 - -524. List the prime factors of p.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/9*1)\/((-20)\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*x - 1716675, 111*g = 108*g - x + 1716669. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -36*d**2 + 9*d. Let v(f) be the third derivative of -3*f**5\/10 + f**4\/6 + 529*f**2. Calculate 4*i(r) - 9*v(r).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6*h + 5*l + 4333 = 0, -2*h + 3*l = -4343. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -350100 divided by -3890?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16592 + 19992. What is the remainder when m is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yydiydffyyfyyb. What is prob of picking 1 b, 2 d, and 1 i?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 100 = 4*g - 44, -4*g + 4*t + 144 = 0. Let l = g - 0. Suppose 3*m - 46 - 53 = -4*s, -l = -s - 3*m. Is s a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 22*d + 150*d + 5*d + 0 to the form g + o*d and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 891?\nAnswer: 1\/891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 3 = -8*d - 19, 14*d = 19*d - 3*u + 7 - 18 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 6*w - 2 = 0. Solve w*y + 3 = 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/532*(-76)\/336?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53 - (-108 + 62)) + (4 - 3 - (1 + -62)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oagdc. What is prob of sequence oa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 661, 2666, 6007, 10678, 16673, 23986, 32611?\nAnswer: 42542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = u - 5*u. Calculate the remainder when u is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69304 is divided by 227?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -d - 20, 5*z = 3*z - 10. Suppose 0 = -q - 5*k + 173, d*q - 5*k = 1040 - 295. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-180)\/270 + 9416\/3.\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 at most as big as 62\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 22 = 7*t. Let k(n) = -2*n - 12. What is the remainder when 37 is divided by k(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b00bd (base 16) in base 7?\nAnswer: -6062201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*o - 26 = -7*o, -o - 11 = -3*n. Suppose 0 = -5*k - 2*y + 16, 0 = -3*k + 4*y - 0*y + 20. Solve -n*q - l + 11 = 0, -k*q + 19 = q - l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 338*q. Let x(v) = 43746*v. What is x(w(z))?\nAnswer: 14786148*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/5)*r*r*r*r**8*r\/(((r\/r**(-2\/3))\/r)\/r)*r\/(r*r*r*r*r**(-2\/21)*r))**(-3\/4) assuming r is positive.\nAnswer: r**(-411\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 11. Suppose 0 = b + 3, q + 4*b + 13 = -6. Let v be l(q). Suppose 0 = -3*k - 0*n + 5*n + 93, v*k - n - 124 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkkhhhhhhkkhk. Give prob of picking 4 k.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 f when two letters picked without replacement from {f: 3, x: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3556*r**2 + 1774*r**2 + 1780*r**2. Let v(s) = s + 46. Calculate v(w(i)).\nAnswer: -2*i**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-32)\/(-15))\/8)\/((-210)\/75)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -5) + 1 + 8 + (-41 - (-16 + -14)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15661.\nAnswer: 15661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*u + 4*g + 86, 5*u - 943 + 1018 = 6*g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 11*h - 10*h + 4074, 1612 = 2*m + 4*h. Is m a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8693 - 8691.1. Which is the closest to -2\/7? (a) 0.04 (b) l (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22020101012 (base 3) in base 4?\nAnswer: -213211001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1061963 + 3185883 - 23*i**2 - 1061963 + 26*i**2 - 1061957.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, f: 2}. What is prob of picking 1 f and 3 y?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/6259 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13242300*j**5 + 388649*j - 15.\nAnswer: 264846000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - m - 7468, -t + 5358 - 1624 = 2*m. What are the prime factors of t?\nAnswer: 2, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1007.8 + -1096. Let q = -528 - -440. Let p = r - q. Is p <= -0.15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 6. Let r be u(-3). Suppose -4*a = -1 - 3, 23 = 4*h + r*a. Suppose h*q - 1242 = 443. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 6) in base 9?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -16774243.71 to the nearest one thousand.\nAnswer: -16774000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - q = -3, 4*l - 3*q - 14 = -q. What is the remainder when ((-37)\/l)\/((-2)\/4) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1155051 (base 6) to base 2.\nAnswer: -1111001001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60820841 + 395*b + 60820841.\nAnswer: 395*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/2)\/((-29)\/(-29))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 45 + 6. Suppose -o*g = -7587 - 603. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -460225.5 rounded to the nearest 100?\nAnswer: -460200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -1140*z**2. Let r(s) = s**2. Determine m(r(c)).\nAnswer: -1140*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2 - -6) + 4*66?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 2046.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*63\/(-2)*621\/3726?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 18*a + 2. Let r be j(-1). Let p be r\/12*3\/(-2). Put -1, 1, p in increasing order.\nAnswer: -1, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(3)*1 - sqrt(3) - 1*-3*sqrt(3) - (sqrt(33)\/sqrt(176) + sqrt(432)*1))**2.\nAnswer: 11163\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/471529 and -6\/27737?\nAnswer: 471529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38710 and 196.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 12:43 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 5*k**2 + k + 1. Suppose d - 1 - 1 = 3*w, 5*d - 2*w = 10. Let a be d\/10 + 144\/30. Give z(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 513.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 303 - -15522?\nAnswer: 20225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(77) - 1*sqrt(77)))\/((sqrt(220)\/sqrt(4))\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1208 + 5590 = 1133*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 60*m**2 + 16*m + 4356. Does 12 divide t(-54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t. Let o(y) = -5*y**2 - 3. Let s(a) = 0*a - 5 - 9*a**2 + 4*a - 4*a. Let x(z) = -5*o(z) + 3*s(z). Give u(x(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4445285, 8890572, 13335861, 17781152, 22226445, 26671740?\nAnswer: 31117037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*w - 7. Suppose -w*d = -31 - 1. Calculate the greatest common divisor of d and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4274831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2926 and 5?\nAnswer: 14630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (30\/(-8))\/((-24)\/28160). What is t rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3806 + 11253. What are the prime factors of b?\nAnswer: 11, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100619?\nAnswer: 239, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188 divided by -3.\nAnswer: 188\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/14)\/(1 - 36\/42).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**5 - 6979 + 3798*i + 1795 - 1293*i**3 + 5076*i**2 + 108*i**4 - 2502*i.\nAnswer: -3*(i - 12)**3*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 3*y - y)*(-2*y + 4 - 4)*(0 - 5 + 26).\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrjyvzveezzj. What is prob of sequence jvzz?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -27333352?\nAnswer: -27333358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - a + 22, a = -5*n + 4*a + 32. What are the prime factors of (3 - n\/2) + 3895\/10?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.49 + 0. Let u = c + -0.4900161. What is u rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 223 = -3*x + 191, -3*f = -9. Let z = x - 6. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119473 is divided by 1981.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11 + -34 + 18)\/((-5)\/(-6)). Let y(s) = s**2 - s - 1. Let q(n) = 2*n**2 - 7*n - 8. What is p*y(f) + q(f)?\nAnswer: -4*f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + w + 1. Let u(a) = -11*a + 603 + 16*a**3 + 5*a - 23*a**2 - 607. Let j(f) = u(f) + 4*v(f). What is the third derivative of j(t) wrt t?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1715902640?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.07 + 0.07. Let i = -696\/847 - -134\/121. What is the nearest to i in 58\/5, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3852, 0, -3 in descending order.\nAnswer: 0, -3, -3852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 0*l + 5\/3*l**3 + 0*l**2 - 2. Let u(d) be the first derivative of -3*d**2\/2 - 4. What is s(u(q))?\nAnswer: 45*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(252)\/(sqrt(60)\/sqrt(5))*4)\/(4*(sqrt(243) - (sqrt(243)*4 - sqrt(243) - sqrt(243) - sqrt(243) - sqrt(243))*5)).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 218110 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3587 + 3576. Put a, 0.4, 0.1, 3, -5\/3 in decreasing order.\nAnswer: 3, 0.4, 0.1, -5\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrr when three letters picked without replacement from {r: 2, w: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 80*p + 164363 = 83*p, 0 = 5*w + p - 164351. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 11\/((-66)\/948). Let y = -153 + v. Solve 0 = y*d + 5 + 13 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3200582 + 3?\nAnswer: -320057c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1306751, -1307008, -1307265, -1307522, -1307779, -1308036?\nAnswer: -1308293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 = -5*b + 331. Let n be 1 - (-76)\/b - (2 - -3). What is the third smallest value in n, 0, -2\/43?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k - 1. Let o be j(-1). Suppose z - o*z = 0. Suppose 0*q + 2*q + 2 = 0. Sort q, -4, z in increasing order.\nAnswer: -4, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, d: 3, z: 11}. Give prob of picking 2 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3814*g + 7616. What is s(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1868711 (base 9) to base 14\nAnswer: 1d4720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -769, -1020, -1263, -1498?\nAnswer: -1725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) - 104\/(-39). Sort -5, y, 4 in decreasing order.\nAnswer: 4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 16 = 3*u, -88*u - 4*a + 24 = -92*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/7)*g*g*g**1)**42\/(g**(2\/5)\/(g*g\/(g**(-3)*g))*(g\/g**(1\/4))**(-29\/4)) assuming g is positive.\nAnswer: g**(13683\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9.97 and -4.\nAnswer: 5.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 256570 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 57*4\/(-48) + 4. Which is the biggest value? (a) -19 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -14, -1877.\nAnswer: -1877, -14, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 361008.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3) - (-42)\/9. Suppose 4*x = 4*j + 12, -j + x - 23 = -l*x. What is the remainder when j is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 6*t + 18 - 21 = 0, 2*k + 2*t = 4. Let a(z) be the second derivative of 0 - 8*z**2 - 10\/3*z**3 + k*z**4 + 23*z. Determine s so that a(s) = 0.\nAnswer: -4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3031 + -2?\nAnswer: 3026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 18. What is s(20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 greater than or equal to -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1537.1*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a kilometer in meters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -5*v - 6*i, -3362*v + 2*i = -3365*v - 14 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1471 = -83*z + 823 - 468 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 0.11 (b) -1\/6 (c) 1\/2 (d) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -23*i**3\/6 + 3*i**2\/2 + 5556*i. Let y(a) = 1. Give b(s) - 3*y(s).\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 5*p + 33, 1152*u + 169*u - 3*p + 8358 = -66*u + p for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 9 + (10 - 4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-320)\/(-48) - 2\/(-6). Suppose -5 = v + h. Let l be (-2)\/3 + (52\/v - -5). Which is the nearest to 1? (a) -0.4 (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2265130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -w - 63. Let o = w - 19. Differentiate -4*l**3 + 4 - o*l**3 + 31*l**2 - 31*l**2 wrt l.\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7302.1 + 7690. Let h = -387.896742 + o. What is h rounded to 4 decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3 - 15 = 0, -33 = -x + 5*z. Factor -4 - x + 12*k - 2*k**2 - 1.\nAnswer: -2*(k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -2103?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, -5, -9 in ascending order.\nAnswer: -81, -9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 670, 3367, 7854, 14125, 22174, 31995, 43582?\n\"Answer: -x**3 + 901*x**2 + x - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7*t**3 + 13*t**2 + 6. Let g(b) = 7*b**3 + 12*b**2 + 5. Let r(p) = -6*g(p) + 5*w(p). What is the third derivative of r(m) wrt m?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -2 (c) -50 (d) 3 (e) -2\/13 (f) 0.06\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 649*t - 10. Let g be z(22). Suppose -4*a - 2*j = 2*j - g, 0 = -j - 4. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11\/(-11)*4\/(16\/(-5044))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 + -1 + 4 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**5 + 220*k**4 + 446*k**3 + 224*k**2.\nAnswer: -2*k**2*(k - 112)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*m + 4 - 19 = 0, -2*a - 29 = -5*m. Let b be ((-1 + 1)\/2)\/a. Let g = 127 + b. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2777443*k**3 + 2*k**2 + 8433481*k wrt k.\nAnswer: 16664658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231132.\nAnswer: 2, 3, 11, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11933997.9563 less than 0.05561?\nAnswer: 11933998.01191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 41 + -99?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 13*k = -102. Let s be (10\/(-6) + 5)\/((-4)\/k). Suppose q - 1 = 3*n - 4, q = -s*n + 5. Is n greater than or equal to -2\/231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147126 by -3503.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8\/96*-6*-16\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -18166 greater than -18165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-3 - (-1 + 0) - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2. Suppose 33 = -5*h - 32. Let m = 21 + h. Let l(n) = -n**2 + 13*n**2 + m*n**2. Calculate t(l(y)).\nAnswer: 400*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -327044 and -305.5.\nAnswer: 99911942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*o - 196 + 0*o**3 - o**3 + 2*o**4 + 194 to the form w*o**4 + d + v*o + n*o**2 + p*o**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 91 = 5*z. Solve 5*j - z - 8 = -3*f, -2*f = j - 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 202502019 to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 738969487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 207644 - 207644 + 2*m - 2687*m**2.\nAnswer: 2*m**3 - 2687*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 24720312 and 0.23?\nAnswer: 24720311.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - f + 21. Let r(o) = 2*o - 8. Let b be r(f). Let k(d) = b*d - 2*d - 2*d + 1 - 2. Give k(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905579007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11\/24 + -9\/8. Let h = -0.1 + -1.8. Let u = 6.9 + h. What is the closest to -2 in u, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.98 + 631?\nAnswer: 632.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -4f5a?\nAnswer: 4f56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2954400 is divided by 39392?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 51, 4, 1, 693, 0 in descending order.\nAnswer: 693, 51, 9, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20223 + 9773 = -190*w for w.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 9 = 2*n. Let y = n + 19. Suppose -2*x + y = -0*x, -l - 4*x = -75. List the prime factors of l.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/4 - 7\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 692943481.39 and 47.\nAnswer: 692943528.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 9*w - 77. Let l(g) = g**2 - 8*g + 21. Let o be l(6). Let x be s(o). Solve 5*q - 3*q - x = 0, -4*y + 2*q + 12 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7214.19 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2 - 12 + 4*n + 15 + 4*n**2. Calculate l(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 240, 432, 662, 924, 1212?\nAnswer: 1520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13230278591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -393840747 divided by -43760083.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004988872 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*q = -56092 + 57196 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13225?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-27)\/9 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -26, -2, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + u - 2*i - 431, 2*u - 281 = -5*i. Let l = -67 + u. What is the remainder when l is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9408160?\nAnswer: 2, 5, 127, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 25 = 36*g - 40*g, 8 = -4*q + 5*g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -185031 (base 15) in base 14?\nAnswer: -22a704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2433 - 2432. What is the nearest to 1\/2 in -4, -2, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19984900 divided by -1998490?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 389567380 to the nearest integer?\nAnswer: 19737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (240\/(-910))\/4*(-5)\/((-15)\/(-7))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**4 + 2*s**3 - 6*s. Let z(r) = -3*r**4 - 7*r**3 + 18*r. Let v(f) = 7*w(f) + 2*z(f). What is the second derivative of v(k) wrt k?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -2127, 0, 3 in increasing order.\nAnswer: -2127, -3, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 603*v**3 + 15 + 143*v**3 - 743*v**3 - v.\nAnswer: 3*v**3 - v + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzzzzzx. Give prob of picking 2 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -559576 divided by -139894.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**7\/735 + 23*k**6\/105 - 73*k**5\/35 + 3*k**4 + 261*k**3\/7 - 2556*k**2. Let p(b) = 0. Calculate b.\nAnswer: -1, 3, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 - 3*j**2 + 2*j**2 + (j + j - j)*(0*j - 4*j + 2*j) + 3*j**2 + 0*j**2 - 4*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2891598480 and 2160?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 1708 = 3*x, 5*x + 6*v = 2*v + 2900. Calculate the greatest common factor of x and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13d + -4?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 11*o = 6. Let c = o - -5. Suppose 5*l - 4*w = 62, -l + 45 = c*l - 5*w. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 54*f**2 - 14*f + 231. List the prime factors of w(-12).\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -1 + -4 + -262 + 155.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 0*m**3 + 9*m**2 + 0*m**7 + 0 + 0*m + 0*m**6 + 7\/24*m**4 + 1\/336*m**8 + 0*m**5. What is the second derivative of q(o) wrt o?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 d, and 1 s when three letters picked without replacement from sssdsmmdmdssd.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 527 - 267. Suppose w - c + 59 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0151843 to five decimal places.\nAnswer: -0.01518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 791 and 20557\/26 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 3298?\nAnswer: 3298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (54 - (11 - -17)) - 3.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-5 - (3 + -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25810464 divided by -222504.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1132 and 16\/389691.\nAnswer: 1558764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a millennium?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**4\/12 + 65*g. Let a(o) = -o**3 + 4*o**2 - 2*o - 1. Let u be a(2). Let d(n) = -3*n + 2*n + u*n. What is m(d(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77610716569*l**2\/3 + 268557868*l - 696972 = 0 for l.\nAnswer: 1446\/278587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1910069498 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/51 - ((-1845)\/(-7995) - (3561\/221 - 2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153579 and 6.\nAnswer: 307158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 146633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**6\/360 + d**4\/24 - d**3\/2 - d. Let k(c) be the second derivative of q(c). Factor k(w).\nAnswer: -(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10*(-10)\/150*6\/(-4). Let y(a) = 21*a**2 + 14*a + 13. Let m be y(p). Calculate the greatest common divisor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1490023 is divided by 136.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -86*b + 129, -i = b + 223 - 270 for i.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33474 - 31588?\nAnswer: 1775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*b**4 - 3*b**4 - 14*b**2 + 9*b**2 - 1 + 16*b**4 - b**3 + 2*b as c*b**3 + g + f*b + a*b**4 + v*b**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 239620 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 8*t**2 + 4*t + 5. What is a(7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 81, 153, 227, 303, 381, 461, 543?\n\"Answer: d**2 + 69*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 3)*(1 + 0 + 3) + (1 - 1 + 2)*(-1 - 1 - 1))*(0*h + 3*h - 5*h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 5*c**4\/12 - 3*c**2\/2 + 3*c + 3. Let g be f(2). Solve 25 = 5*v + 3*w, -5*v - w + g + 8 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 11*a - 24. Let p be q(-13). Let d(x) = x**3 + 2*x**2 - 3*x + 1. Let k be d(2). Suppose 0 = j + p - k. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10108 and 4332.\nAnswer: 30324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -48, -15843, 22\/7?\nAnswer: -15843","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = -44 - 28. Is (87\/i)\/(((-5)\/(-165))\/(-1)) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -11*x**7\/70 - x**5\/60 - x**4\/4 - 4*x**2 + 2. Find the third derivative of k(r) wrt r.\nAnswer: -792*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*t - 105, 86 = -5*t - 5*d - 19. Let k be (-3)\/(-7) + 828\/t. What is the remainder when ((1 - 0) + k)\/(-1) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -299174 <= -1795051\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 61900 to the nearest 1000.\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14294\/1131 - 164\/13. Calculate the common denominator of z and -6.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -42263*u - 42289. Calculate j(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**8\/8400 + h**7\/2100 - h**3\/2 - h**2. Let c(k) be the first derivative of w(k). Let c(y) = 0. Calculate y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opopiwjoijjooj. What is prob of picking 2 j and 1 i?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4300998801.\nAnswer: 3, 11, 130333297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499580?\nAnswer: 2, 5, 24979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - ((-56)\/(-26) - (-2)\/(-13)). Solve -p = -4*x + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9456529\/11 + 859699. Suppose -s*t + 160\/11*t**3 - 450\/11*t**4 + 458\/11*t**2 - 8\/11 = 0. Calculate t.\nAnswer: -1, -2\/45, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/8)\/(-1)*(-6)\/(-10)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 2) to base 13.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 11*z = -4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, 53 in descending order.\nAnswer: 53, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3335 + 3339. Let i = -0.1 - 0.7. Let j = i - -0.3. What is the second biggest value in j, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 254 in -4, -9\/4, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-1)*1 + -5. Let j(d) = -d**2 - 9*d - 9. Let z be j(l). Suppose 2*t + 40 + 42 = 4*x, 58 = 3*x - z*t. Is x a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 6:35 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.26 times -199?\nAnswer: 250.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -52.4 and 13.266 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5383\/9 - 599. Let z(t) = -t**3 + 9*t**2 - 13*t - 9. Let h be z(7). Is h at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000151395418 to seven decimal places.\nAnswer: -0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-98)*-3)\/((-13)\/((-26299)\/102))?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000307 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -7*t**5\/30 + 17*t**4\/12 + 4*t**3 + 75*t**2\/2 + 158*t. Let x(a) be the first derivative of z(a). Factor x(b).\nAnswer: -2*(b - 3)*(7*b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3987 = -5*k, -2*k = -46*b + 48*b - 1578. Is 790 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vaoammovrvommmkvmm. Give prob of sequence mrv.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17876 is divided by 132?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a3 (base 11) in base 16?\nAnswer: -4b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1510104 times 0.24\nAnswer: 362424.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from {p: 3, b: 6, f: 2, l: 2, c: 4}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**4 - 726*y**3 - 196324*y**2 - 7498920*y - 78154384 = 0. What is y?\nAnswer: -146, -22, 553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1353792457?\nAnswer: 12323, 109859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209710, 838846, 1887406, 3355390?\nAnswer: 5242798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 255*j**2 - j**3 - 16 - j + 15 + 105*j**2 - 2*j**3 to k*j**2 + w + o*j + q*j**3 and give k.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 4 + 2\/3*n**3 + 0*n**2 + 0*n. Let t(u) = -u. What is b(t(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 19. Suppose -2 = 3*w - j. Determine m, given that 0*m - 2\/3 + 2\/3*m**w = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((((d*d*d*d\/d**(-10)*d*d)\/d)\/d)\/d))**(-1\/2))**3 assuming d is positive.\nAnswer: d**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {u: 2, m: 1, w: 3, t: 1, o: 1, s: 8}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-1*(-972)\/(13 + -1). What is the greatest common factor of 711 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 11*w - 9*w + 34 = 0, w + 2*w + 15 = -2*w for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1791, -1828, -1889, -1974, -2083?\n\"Answer: -12*o**2 - o - 1778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-700)*2807 - -16?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5 + 69*u**2 - 4 - 249*u**2. Let l(v) = -20 - 15 + 35 - v. Give y(l(p)).\nAnswer: -180*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 6:31 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 794\/7 - 3183\/28. Let l be 4\/(-14) - 916\/(-4186). Let o = l + -2\/23. Which is the third smallest value? (a) 2\/7 (b) d (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1130 - -6618. Is 58 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from geeegee?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 13. Suppose 0 = l - 3*l + 12. Let k(i) = i - 7. Let j(p) = l*w(p) + 11*k(p). Let x be j(0). Solve b - 2 = -x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 4*z**2 - z + 1. Let n be -1*(0\/3)\/(-3). Suppose n*t + 2*t = -8. Give j(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 13, c: 3, z: 3}. Give prob of sequence zrc.\nAnswer: 13\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9961386.\nAnswer: 2, 3, 1660231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 - -6e179?\nAnswer: 6e169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/9 + (-1)\/((-12)\/52).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -24. Suppose 7 = m - a. What is the highest common factor of 243 and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 + -61. Suppose 3*f = -2*l + 17, 4*l = 5*l - 3*f - u. Calculate the least common multiple of l and (4 + -5)\/(7\/(-70)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7*v - 36 = 0. Let m = -1 - v. Let f be (-2 - 6)\/(7\/((-28)\/8)). Solve 4 = -m*d + f*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(2\/11)*h)*h**(-10))\/((h**(-1\/12)*h*h)\/h*h*h**(2\/9)))**(6\/13) assuming h is positive.\nAnswer: h**(-4879\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -0.5, 4\/49, 4\/43 in descending order.\nAnswer: 4\/43, 4\/49, -0.5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 19*y**2 + 24*y - 92. What is s(18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 7*t**2 - t - 4. Let h(s) = -s - 1. Let l be (8\/(-3))\/((-10)\/(-15)). Let v(m) = l*h(m) + k(m). Find the second derivative of v(d) wrt d.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1230 divide 8513757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 30. Let t(n) = -4*n**2 - 5*n**3 + 1 + 4*n**3 + 4*n + 6*n**2. Let y be t(j). Sort 5, y, -1 in increasing order.\nAnswer: -1, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2516 and 0.052.\nAnswer: -2515.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 4:24 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744211?\nAnswer: 13, 19, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 + 41. Let f(d) = d**2 + 12*d. Let j be f(w). Let k(b) = -143*b. Let m be k(-1). Calculate the greatest common divisor of j and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1091 + -754. Let f = x - 217. Calculate the remainder when f is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 452.596ug?\nAnswer: 452596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -11*c**2 + 5*c - 4. Let i(o) = -12*o + 10 - 3*o**2 + 2*o + 9*o**2 - 8 + 7*o. Determine -7*i(j) - 4*y(j).\nAnswer: 2*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p. Let w(l) = 1551*l. Calculate v(w(k)).\nAnswer: -1551*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1345?\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -330 - -370. Solve -3*y + 1 = 5*q - 3*q, -5*y = -5*q + z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 125009372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -792.5 + 789.5. Sort 5, i, -2, -16.\nAnswer: -16, i, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2*n*n)\/n*n)**(8\/7)\/((n\/n**(-3\/8))\/n**(-7)) assuming n is positive.\nAnswer: n**(-213\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1792 and 1541632.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 7*p**2 - 8*p - 6. Let i be x(5). Sort i, -3, -1, 3.\nAnswer: -3, -1, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 3*g - 2*g + 3*g**2)*(-213*g**2 + 453*g**2 + 392*g**2).\nAnswer: -632*g**4 + 632*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 2*d**2 + 84*d - 13. Give y(-11).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.293 (b) -4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 5936*h**5\/5 + 3423*h**2 + 1295. Find the second derivative of f(o) wrt o.\nAnswer: 71232*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1500*c = -1080*c + 13440 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*b + 4*t + 25, -t = -5*b + 30. Suppose 6*y = b*y + 7. Suppose -y*f = -18435 + 5170. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*t - 300 = 42*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -588 - 410 = -2*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104933642 to the power of 1\/3, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34\/9719 - 527823\/3634906. What is the common denominator of -31\/85 and p?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/17)\/u*u)\/(u*u*u**5\/u)*(u\/(u\/u**0)*u)**41 assuming u is positive.\nAnswer: u**(597\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1498\/17 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 3. Let k be s(-6). Let h be (1 - 0)\/(k\/(-15)). Sort h, 2, -4 in decreasing order.\nAnswer: h, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9601 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 921*n**2 - 5*n + n - 1827*n**2 + 909*n**2 + 4*n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8 = -2. Let j(k) = 0*k - 3*k + 2 + 2*k**3 - 5*k**2 - k**3 + 0*k. Determine j(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7987988 divided by 1996997\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.1442645722 and 0.0939.\nAnswer: 2.2381645722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = n + 5. Suppose -5*v + n = -v. Find the third derivative of -c**4 + 0*c**2 + 3*c**2 + v*c**4 wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*y - 17*y - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1058 = -1082*y - 6 - 3264 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -5*b**3\/6 - 25*b**2\/2 + b - 108. Let f be u(-8). Solve 24*d - 27*d = -f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 50*q + 60*q - 106*q + 9. Let d(i) be the first derivative of 9\/2*i**2 + 15 + 19*i. What is -6*d(j) + 13*h(j)?\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 5*r**2 - 3*r - 5. Let i(d) = -d**3 + 7*d**2 - 4*d - 4. Let o(u) = -3*i(u) + 4*l(u). Give o(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9\/16 + 1\/16. Let d be 1\/((15\/(-6))\/5). Which is smaller: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55144 (base 7) in base 5?\nAnswer: 420201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294251886?\nAnswer: 2, 3, 811, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -3.8, 4.\nAnswer: -3.8, -3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.787 - -5.7. Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((186\/36)\/(-31))\/(9\/(-54)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 14*x**2. Let z(v) = 2*v - 6 + 6. What is z(q(k))?\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-2) - 0)*(5 + 0) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2136069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 116235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-1 + (-20)\/(-22)). Let q = z + -1. Suppose 0 = 9*p - 117 - 54. Calculate the remainder when p is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33817 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 6*v**2 + 7*v - 2. Let l be c(-4). Suppose -l*n = -115 + 11. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*2*sqrt(119) - sqrt(119)) + 1*-2*sqrt(119))\/((sqrt(448) - (sqrt(448) - -3*sqrt(448)*6)) + sqrt(448)))**2.\nAnswer: 81\/1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/156 and -157\/276.\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 516 = 3*x - 18*v + 21*v, -16 = -4*v. Let m(l) = 12*l**2 + 3*l. Let o be m(-2). What is the highest common divisor of x and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w**(-7\/4)\/w))*w)\/w**(2\/57)*(w*w\/(w\/w**(-5\/7)))**(-15\/8) assuming w is positive.\nAnswer: w**(-926\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3844 and 6727?\nAnswer: 26908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 10, -4*f - 13 + 8 = 5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 26393*t = 26398*t - 55, -5*i - 4*t + 17 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = 96*p, -2*o = 4*p + 968 - 1004 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h, 5*h = 3*j + 20 + 10. Let r = -49 + 49. Which is the second smallest value? (a) 1\/7 (b) j (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -2) + 2 + 7. Let g(t) = t**2 + t. Let x be g(3). Suppose -5*f + 23 = -x. Is q > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1895976 or 13271828\/7?\nAnswer: 1895976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and -15745.318.\nAnswer: -220434.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 4*i**2 - 4*i + 5. Suppose 3*u + 3 = -4*m, -u - 2*u = -m + 18. Let s be o(u). Solve 0 = 3*d - s*d + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 710.9999607 + -711. What is w rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58599896851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 68409.\nAnswer: -2\/22803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 10:38 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 1694*j + 177894. Suppose 2*x = 4*z - 170, 3*x + 0 + 15 = 0. What is the least common multiple of z and w(-105)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -723\/5*g**2 - 1098\/5*g + 0 + 1\/5*g**4 - 116\/5*g**3 = 0 for g.\nAnswer: -3, 0, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 684 - 382. What are the prime factors of y?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 5.9.\nAnswer: 2.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n + 2*n - 7*n. Let s(m) be the first derivative of -2*m**2 - 1. What is j(s(v))?\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + 23*v**3 - 28*v**3 - v + 16*v**3 in the form d*v**2 + o*v + c + m*v**3 and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*c - 2*c = 0, 4*c + 18 = 5*v. Suppose 0 = -s + 3*s - 6. Find g, given that 2*g**2 - s*g**2 + v - 2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 5, -0.5, 19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(8) + 2 - (4 + sqrt(11) + -5))**2*5.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1, -56, 2.\nAnswer: -56, -14, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63584719?\nAnswer: 11, 23, 251323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c. Let u(h) = -14*h - 2*h + 29*h - 8*h. What is f(u(d))?\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 4536594501527.\nAnswer: -4536594501527.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*c - 80, -3*c + 4*q + 6 + 26 = 0. Solve d - 5*g + c = -d, 0 = 4*d + 2*g + 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151.89677 - 1593407\nAnswer: -1593255.10323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 5)*(-7*p - 5 + 5)*(-p - 29 + 37 - 73) to the form y*p**2 + d*p + s and give y.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**4\/4 + n**3\/6 - 2*n**2 - 21*n. Let o be g(-4). Let b = 12 + 4. What is the highest common factor of b and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(3) + 1 + -3 - sqrt(3)) + sqrt(36)\/(1*sqrt(12))*4.\nAnswer: 2 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8 + 11*z**3 - 3*z - 3*z**2 - 12*z**3 + 0*z**2 - z**2. Does 8 divide r(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 - 16*v**3 + 109*v**2 + 17*v**3 - 109*v**2 - 8*v**3 - 2*v to u + a*v + b*v**2 + o*v**3 and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppplpbbpbllb. Give prob of picking 3 b and 1 l.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 3 (c) -197\/13 (d) -4\/9 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 493504, 987007, 1480508, 1974007, 2467504, 2960999?\nAnswer: 3454492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1149, 4621, 10415, 18531, 28969, 41729, 56811?\nAnswer: 74215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 6:08 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 5:41 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2996 + -0.09.\nAnswer: -2996.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 5*a**2 + 10*a + 47. Calculate p(5).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000000520473 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-16))\/((-35)\/56).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2706752055?\nAnswer: 3, 5, 7, 25778591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6634476, -26537887, -59710244, -106151553, -165861820, -238841051?\nAnswer: -325089252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 6:13 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**5*j**3 + 15354*i**5*j - 56*i*j**3 + 39*i*j - 2*i wrt i?\nAnswer: -60*i**3*j**3 + 307080*i**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -10*g**3 - 2*g**2 + 96*g. Let n(o) = -10*o**3 - 3*o**2 + 96*o. Let y(h) = 3*i(h) - 2*n(h). What is the second derivative of y(u) wrt u?\nAnswer: -60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 993841?\nAnswer: 993841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.18, -0.3, -389, 2, -2\/5, 0.09, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*k - 3011 = 7*k - 371 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 6:55 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3)*f**(-11\/2) assuming f is positive.\nAnswer: f**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1944))\/((sqrt(132)*2)\/sqrt(11)) - (sqrt(24)\/(sqrt(36)\/sqrt(3)) + -4 + 5)**2.\nAnswer: -11*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 517*j**3\/6 - 1499*j**2\/2 - j - 467. Find the first derivative of t(s) wrt s.\nAnswer: 517","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 = -4*w + i, 8 = 3*i + 2. Let t = 45 - w. Let s = 121 + t. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39\/(-624)*-16)\/6\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -16*v**3 - 138*v**2 + 304*v + 534. Let k(l) = -3*l**3 - 28*l**2 + 61*l + 107. Let c(u) = 21*k(u) - 4*m(u). What is c(34)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -327.6 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (2 + -1 + -4). Suppose -4*v + 2*v = 0. Let r = 0.042 + -2.042. Which is the nearest to v? (a) z (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12825772*h**2*v - 471*h**2 + 5*h + 85 wrt v.\nAnswer: 12825772*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 7*i**2 + 5*i - 9. What is the remainder when 22 is divided by x(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1121 is divided by 347?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-65)\/(-10)*(3 + -1). Let b = 34 + t. Round b 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 6 and 438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -17 + 5 - 2*h - 8. Let o be v(-7). Let d be 2\/o + 392\/24. Calculate the highest common divisor of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34265?\nAnswer: 5, 7, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49364*v**4 + 1544*v**3 - 6*v**2 - 4017103*v wrt v.\nAnswer: -1184736*v + 9264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3945970084 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2012206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 m, and 1 i when three letters picked without replacement from {m: 2, i: 4, o: 2, f: 8, t: 4}?\nAnswer: 16\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7511188721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l**4 - 314*l**3 - 3074 wrt l.\nAnswer: 4*l**3 - 942*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 182\/(-39)*(9\/(-6) + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-70)\/36)*(-9)\/((-324)\/(-120)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*o + 8 = 0, -3*h - 2*o = -1 + 2. Let v(f) = -f**3 - 4*f**2 - 2. Let r be v(h). What is the lowest common multiple of 38 and r\/(-2*(-1)\/(-4))?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = t - 2*o - 41, -3*t + 5*o = -5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25117 + -25249 + (13 - -1).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 14 + 7 - 21. Let m(g) = 2*g**2. Calculate z(m(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 100 + 117\/4*p**4 + 127*p + 0*p**2 + 0*p**3. Find the first derivative of g(i) wrt i.\nAnswer: 351*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1143.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 7*s**3\/3 - 2. Let y(a) be the second derivative of 37*a**3\/6 + 3901*a. Calculate y(n(z)).\nAnswer: 259*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d + 4*d + d)*(-2*d**3 - 3*d + 3*d) + (10*d**2 - 36*d**2 - 20*d**2)*(4*d**2 - d**2 - 2*d**2) + d**4 + 2*d**3 + 3*d**4 - 2*d**4.\nAnswer: -42*d**4 + 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -16. Suppose w*f - 2*b + b - 92 = 0, 0 = 3*f - 5*b - 64. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 206*t - 3901. Calculate g(19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eighty-one quarters of a microsecond?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 15*o**2 + 3*o + 15. Let p be r(15). Let w = p - 13. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o - 17. Suppose -z + 149 = r + o, r - z = 134. Suppose r*a - 131*a - 258 = 0. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1413313976 to the power of 1\/3, to the nearest integer?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (392\/84)\/(1\/6). Let d(z) = i*z - 9*z - 16*z. Let r be (-1)\/(0 + 0 + 1). Calculate d(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) -2\/249 (c) 96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in -4, -2\/21, -3.6706?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/3 + 8\/(-12). What is the second derivative of 0*n - 4*n - n**h + n - 2*n wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {z: 3, a: 4, w: 3, m: 10}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -749*z - 8574 = -200*z + 880*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4861, -10830, -16799, -22768?\nAnswer: -28737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b19266 (base 13) in base 3?\nAnswer: 121212012112000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 6.5.\nAnswer: 19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(5) + ((-1 + sqrt(5))*-6)**2).\nAnswer: -216 + 71*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.33? (a) 1.9 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**2\/2 - 10. Let s(k) = 1. Let h(x) = -x - 1. Let a(i) = h(i) + s(i). Determine a(l(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*v + 26, -6 + 7 = v. Is -3 + y\/(-1) + (131 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/55 and 12\/(-24) - (-2 + (-33)\/210).\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 2. Let z(t) = 21*t**2 - 2*t + 4. Give -2*y(a) + z(a).\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 104 * -657093\nAnswer: -68337672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 - 89. Calculate the remainder when 21 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 9*g**2 - 300*g + 2033. Determine f(24).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3530 - 0 - (60\/(-12) - -3). Let s = -2305 - w. Calculate the remainder when s is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -23*i**3 + 6*i**2 + 6*i. Let j(g) = -23*g**3 + 7*g**2 + 7*g. Calculate -7*b(m) + 6*j(m).\nAnswer: 23*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 36. Suppose 0 = -3*y + 3*c + 6 + 6, -10 = -2*y + z*c. Solve -y*u = -1 - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*m**3 + 567*m + 482*m - 1620*m - 37*m**3 + 571*m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - x - 70 - 2, g = -3*x + 24. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/(-42))\/((-1)\/4 - 0). Which is the closest to f? (a) -3 (b) -2\/7 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2180 - -2178. Let j(k) = -k**2 + k. Let m(y) = -2*y**3 - 4*y**2 + 2*y. Give s*j(b) + m(b).\nAnswer: -2*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1645 and 1155.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 97050980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 175, -3, -15, -25.\nAnswer: -25, -15, -3, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, z: 2, f: 2, p: 1, l: 1}. Give prob of sequence zz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2190*v + 3143*v - 223986 for v.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 2, c: 1, g: 2, v: 1, i: 1}. Give prob of sequence cw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 234840567?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 34, 25, 2, -41, -110, -211?\n\"Answer: -c**3 - c**2 + c + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 1)*(-3*l + l + l) + 10*l + 9*l - 13*l + 2*l - 4*l - 3*l to the form b + r*l and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q**2 + q)*(52*q - 79*q + 200*q) - q**3 + 0*q**3 + 3*q**3.\nAnswer: 175*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/16162356 and 13\/154?\nAnswer: 177785916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 21*i + 21. Suppose -4*n + 9*n + 52 = 4*t, -n = 0. What is the remainder when z(18) is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/64 and -23\/200069748.\nAnswer: 3201115968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -6*t - 560. Suppose 0 = -5*r + 10*r - t. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 512804 or 512805?\nAnswer: 512804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g - 21. Let r be s(14). Let m = -18 + r. Which is smaller: m or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 - o - 2. Let b be a(-1). Sort 4, b, 5 in decreasing order.\nAnswer: 5, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 24*q - 262. Let t be y(11). Let i = 8.6 - 9. Which is the fourth smallest value? (a) t (b) -1 (c) -0.1 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u**2 - 14859*u + 89058. Give f(6).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2.8. Let x = 0.1 + -0.2. Let d be ((-108)\/(-24))\/9*(-1)\/2. Which is the nearest to 0? (a) x (b) j (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*z - 7005 - 1883 = 224 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -6, -41, -112, -231, -410, -661?\nAnswer: -996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*j - j**2 + 76*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 6. Let m be u(-6). Suppose 0*j + 2*j = m. Solve j*k + 3*k + 12 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m - 1. Give a(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1533*c**3*i - c**3 + 3*c**2 + 7457*c + 248*i + 4 wrt i.\nAnswer: 1533*c**3 + 248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3033973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuu. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v + 5*v - 1 + 1. Let x(j) = 22*j**2 - 10*j - 10. Let a(i) = 2*i**2 - i - 1. Let o(m) = -10*a(m) + x(m). What is d(o(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -942086.37884 + 0.04.\nAnswer: -942086.33884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/10))**(2\/3)*(t**3)**(-10) assuming t is positive.\nAnswer: t**(-151\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.071 + 3.071. Let p = -3.05 - -0.05. What is the closest to -1 in c, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 840894 divided by 280298?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14686 + -14685.999802353. What is y rounded to 6 decimal places?\nAnswer: 0.000198","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-300)\/(-4))*(-84375)\/20250?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**5\/20 + 5*u**4\/12 - 7*u**3\/6 - 3*u**2\/2 + 21*u. Give n(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 8*k + 30. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.98 - 0.98. Which is the closest to -0.1? (a) 0.3 (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0*k + 4860. Let b be (3651\/k - 3)\/1. Let v = b + -904\/19035. Is v < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-21) - 0)*6. Find o, given that -16\/7*o**3 + 0 - g*o + 6\/7*o**4 + 2*o**2 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22736 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**6\/6 + 21*v**4\/4 - 7*v**3\/3 + 2*v**2 + 16. Find the third derivative of d(l) wrt l.\nAnswer: -60*l**2 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -26*k - 30. Let f be t(-2). Suppose -3*a = a - 968. What is the highest common divisor of f and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 816 + 1051. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 870, 4, 3, -3 in increasing order.\nAnswer: -3, 3, 4, 870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -4 (b) -3\/8 (c) -6 (d) -2\/13 (e) 43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 2. What is the derivative of 6 - 2*z**3 - 3 - u wrt z?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 37\/2 of a millennium?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 50. Suppose -7*l + d = -2*l. What is the remainder when 10 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/(8\/40). What is the second smallest value in -2, -1\/11, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j\/j**(-45))\/j*j)*j*j*j\/(j*j**(-2\/9))*j**(4\/5)*j\/j**(-3\/14) assuming j is positive.\nAnswer: j**(-25681\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4159564703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 + 16?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38069?\nAnswer: 38069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1313.7255 + -1314. What is q rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n + 1160. Calculate b(17).\nAnswer: 1126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 200*w**2 - 1 + 369*w**2 - 1 + 2 as k + z*w**2 + g*w and give z.\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 266870638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)*((y*y**(-3\/2))\/y)\/y)\/(y\/y**0)**(-2\/43) assuming y is positive.\nAnswer: y**(-641\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -50056.\nAnswer: -50054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-74 - o + 74)*(-613*o - 138 - 187 + 325) to the form l*o + z*o**2 + p and give z.\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1608.107357 to one dp.\nAnswer: 1608.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14016064 (base 7) in base 5?\nAnswer: 313024034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - o - 1. Let f(s) = -8*s**2 - 3*s - 2. What is 3*d(x) - f(x)?\nAnswer: 5*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 + 7*m**3 - 2*m**2 - 60*m - 72.\nAnswer: (m - 3)*(m + 2)**2*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 17\/2 of a microsecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*r - 160 = -101*r + 49*r for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) -279 (b) -0.7 (c) -0.1 (d) 26.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a litre in millilitres?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126371 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 6*o + 3.\nAnswer: 3*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**6\/40 - 3*i**5\/80 + i**4\/4 + i**3\/2 + 174*i + 61. Let j(a) be the first derivative of u(a). What is w in j(w) = 0?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 24\/10) + (614\/110 - 5).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 10:24 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7292 and 937022.\nAnswer: 1874044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04868, -1, -2\/9 in increasing order.\nAnswer: -1, -2\/9, 0.04868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**7\/(k\/(k\/(k\/(k**(-2\/19)*k))))*k**(2\/7)\/(k**(-2\/9)*k) assuming k is positive.\nAnswer: k**(7664\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -701589689024648*h**3\/9 + 467726484322456*h**2\/3 - 49945382*h\/3 + 4\/9 = 0.\nAnswer: 1\/18729518, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17385 divided by -3477.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 - 0.064\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 3*n - 66, -3*n = -4*c - 8*n - 93. Sort -4, c, -3 in increasing order.\nAnswer: c, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -15*((-1 - -1) + -1). Let g(n) be the first derivative of n**3\/3 - 6*n**2 - 5*n - 371. List the prime factors of g(h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 11*y - 9*y - 2554 + 2555 - 2*y**2. Calculate n(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 5*d + 18, 0*d = -5*m + 5*d + 20. Suppose 6 - m = v. Suppose 6*z - 190 = -130. Solve -5*y = v*o + z, y + 0*o - 2*o - 10 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - s - 1. Let z(c) = -7*c**2 + 11*c + 5. Let w(n) = 5*h(n) + z(n). What is the second derivative of w(p) wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -2\/7433 (c) -18\/265\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -14. Let l(t) = -q*t**2 + 5*t**2 - 3 - 2*t - t**2. Let v(f) = 8*f**2 + 9*f + 13. Determine 9*l(s) + 2*v(s).\nAnswer: -2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 0.5, 1\/6, -1, 17096, 2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 34?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -65, -260, -587, -1046?\n\"Answer: -66*u**2 + 3*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6334, 12704, 19126, 25636, 32270?\n\"Answer: 6*s**3 - 10*s**2 + 6358*s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 4*q + 3*a, 5*q - 37 = -339*a + 336*a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, o: 2, y: 4, g: 1, q: 2, x: 3}. What is prob of picking 4 y?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 + -128. Let q(m) = m**2 + 9*m + 5. Let k be q(s). Let j(z) = 5*z + 2. Calculate j(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + 4*l - 2*l)*(-66 - 711 + 35)*(6*l - 3*l - l) in the form h*l**2 + a + f*l and give h.\nAnswer: 1484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - 2*n**2 + 2*n**2)*(2 - 2 - 2*n**3) - 7*n**5 + 43*n**5 + 16*n**5.\nAnswer: 56*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42076 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*3*(sqrt(931) + (-1 + sqrt(931))**2*3 - (sqrt(931) + sqrt(931)*-2 + 4)**2).\nAnswer: -5544 - 63*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -4 (b) 3 (c) 33413 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 10*x**2 + 7*x - 18. Let t(s) = s - 1. Let j(a) = q(a) - 2*t(a). Is j(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3728075 and 409175.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -2\/3, 0.03, -1\/8?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07 + 0.07. Let v = -22 - -43\/2. Are u and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 - -78 - ((-56 - 10) + -4)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 35067, 70143, 105227, 140319?\n\"Answer: 4*g**2 + 35064*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 50? (a) -1\/5 (b) 2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*h + 4*g, 0*g + 15 = 2*h + g. What is the remainder when 282\/h + 4\/(-12) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1)*p**5*(p*p**1\/p)**(-2\/77) assuming p is positive.\nAnswer: p**(306\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*11\/(110\/15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g. Let p be t(-8). Let d = -2 - p. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m - 9. Let g be (-13)\/5 + 4\/(-10). Let n be 23\/g - (-2)\/3. Let v be x(n). Solve v*z - 8 = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.369 + 0.369. Put -2\/3, -0.03, 2\/7, z in descending order.\nAnswer: 2\/7, -0.03, -2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + f = 5*w + 76, 0 = w - 3*f + 18. Let u = -23 - w. Let a be (228\/u)\/3*-4. What is the highest common divisor of a and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34779 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 m(a) = -53*a**2 - 4957*a + 34700. Give m(7).\nAnswer: -2596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-453*h + 1 - 810*h + 686*h)*(2*h - h + h).\nAnswer: -1154*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 less than -66818.9?\nAnswer: -66842.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + u - 1 - 3)*(-21*u + 18*u - 15*u)*(3 + 408 + u - 2*u).\nAnswer: 18*u**3 - 7362*u**2 - 14796*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 minus 53592?\nAnswer: -53592.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -4\/3 (b) -4\/5 (c) -1 (d) -5 (e) 4\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -121 and -773.\nAnswer: -894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*d**3 + 2*d**2 + 1010*d + 42109 wrt d?\nAnswer: -21*d**2 + 4*d + 1010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n + 13. Let s(h) = 5*h - 13. Suppose d + 4*o = 10, 2*o = 168*d - 163*d - 6. Determine d*s(f) + 3*w(f).\nAnswer: -2*f + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 10, 7 in descending order.\nAnswer: 10, 7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/4 and 115\/6692.\nAnswer: 6692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p - 43. Let b be q(-10). Suppose -b*r + 140687 = -40613. Round r to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6675\/(-30) - 10)*196\/(-6) a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 849 is divided by 79.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3348633272?\nAnswer: 2, 1123, 372733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 463\/6 - 77. Which is the third biggest value? (a) g (b) -0.1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11395.\nAnswer: 5, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 486 by -27.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -630*k**2. Let z(x) = 2*x. Determine z(r(h)).\nAnswer: -1260*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/327 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-3 + (10 - 5) - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 679, 679, 677, 673?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(39)\/sqrt(3))*3 + sqrt(13))*5.\nAnswer: 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.656234 to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5345687 is divided by 5345651?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -10*l. Let f(r) = 458*r**2 + r + 16. Determine g(f(o)).\nAnswer: -4580*o**2 - 10*o - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 13. Let u be w(-4). Let p be (-1 + 34\/4)\/(u\/12). Suppose 512 = 18*k - p*k. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37393 is divided by 38?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by -2953022?\nAnswer: 29\/2953022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-5)*10\/3. Let u be 155*-1*1\/(-1). Suppose f - u = -g*f. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -25\/3. Let p be (-560)\/576 - (14\/(-8) + 1). Sort p, k, 0.3 in descending order.\nAnswer: 0.3, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 0*l - l**3 + 7*l**2 + 4*l - 7*l**2. Let m be r(2). Solve -5*x + 3*z + 29 = m, 3*x - 2*z + 4 = 22 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 27, -7, 34, 1 in descending order.\nAnswer: 34, 27, 10, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 16*t - 18. Let y be n(2). Do y and 10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 103129, 209200, 315273, 421348?\n\"Answer: c**2 + 106068*c - 2940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(17) - sqrt(1377)) + -1 + -4 + -5*(-2 + sqrt(1088))**2 + -1 + -2*sqrt(1088) + sqrt(1088).\nAnswer: -5467 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**2\/2 + 36059*m\/2 + 794266 = 0.\nAnswer: -44, 36103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 4:37 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrnadllrrlrnnkdnlnr. Give prob of picking 1 a, 1 d, and 1 k.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 82 = 22. Let w = 16 + q. Let j be w\/(-35) - 120\/273. Which is the second biggest value? (a) -2\/7 (b) j (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17445, 2, -5 in increasing order.\nAnswer: -5, 2, 17445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 14*f - 1\/2*f**2 - 1\/3*f**3 - 2. Does 14 divide q(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000785964 to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*x - 5. Let w(i) = -2*i**2 + 14*i + 4. Let a be w(x). Suppose -a*l + 30 = l. Solve l = -y + 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 55*m**2 - 104*m - 646. Determine x(57).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8*f**3 + 11*f**2 + 11*f + 11. Let v(a) = a**3 + a**2 + a + 1. Determine 2*r(d) - 22*v(d).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 837 = -882 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5967710 rounded to the nearest 100000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 - 146 = -17*a. Suppose 13*c = a*c. Is -2\/887 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172368*h**2 - 811*h + 172366*h**2 - 23*h.\nAnswer: -2*h**2 - 834*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, r: 8, z: 3, u: 3, v: 1}. Give prob of sequence zy.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + 2*sqrt(8)*1)\/(5*sqrt(16)) + (2*(sqrt(242) + 1 + -3))**2.\nAnswer: -1757*sqrt(2)\/10 + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3)\/(d**(-1\/3)\/d))\/(d*(d*d**(2\/11)*d)\/d*d*d*d*d\/d**(-2))*(d\/(d*d*d**(-1\/2))*d)**(15\/4)\/(d**(1\/3))**(-2\/5) assuming d is positive.\nAnswer: d**(-1983\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 2:19 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 405\/80657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 9 - (0 + (4 - (2 + 1))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56319447 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1 + 3*k + 0 - 4*k**2 + 3*k**2. Let x be s(2). Let r = x + 1. Solve -r*o - 10 = -4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {d: 2, u: 11}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 131.6726821 and 3000?\nAnswer: 2868.3273179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1049*s - 6288. What is m(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -179 + 193.4. Round w to zero decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*x - 42*x - 973*x = -5979 - 43103 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 6 + 6 - 2 - 4. Let y be s(7). Let l = 366\/5 - 73. Is l at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 151914 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18c95a (base 15) in base 14?\nAnswer: 235c13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46361453 to the power of 1\/2, to the nearest integer?\nAnswer: 6809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(891) + -1 - (sqrt(22)\/sqrt(2)*-1*3)**2.\nAnswer: -95 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 718845.4 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/15 + 114232*u\/15 - 1631118728\/15.\nAnswer: -2*(u - 28558)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8118 - -8121. Let n(g) = -g**3 + 4*g**2 + 6*g - 1. Give n(z).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1\/4 (b) 5 (c) 1\/98 (d) 26\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 90636173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-92 + 115 - (25 + 4)) + (-2 - -4) + 90\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - 0)*15)\/((-44)\/1056*-24).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t. Let s = -6520 + 6521. Let v(m) = 32*m - 1. Give s*v(z) - 2*x(z).\nAnswer: 30*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14 - ((-23366)\/(-896) + -12). Which is bigger: u or -0.044?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.7 less than 256668?\nAnswer: 256672.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**2. Let v(f) be the first derivative of 45*f**2\/2 - 104. What is v(w(r))?\nAnswer: -225*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-1))\/l)\/((l\/(l\/((l\/(l**(-8)*l))\/l)))\/l))**(-6\/17)*(l\/l**(-2\/5)*l**(3\/2)\/l*l*l*l)**3 assuming l is positive.\nAnswer: l**(2919\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83 - 29 - 63)*(0 + 0 + 2)*(-14*b - 10*b + 7*b).\nAnswer: 5950*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b. Let o(q) = 45*q**2. Calculate x(o(c)).\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 3*o + 73. Give r(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -21*(-4)\/28*14 and 654.\nAnswer: 4578","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v + 2*v - 2*v + (3 - 4 + 0)*(2*v - 5*v + v) + v - v - v as j*v + l and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-67184)\/(-65) - 10)*(-5)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 10:51 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 58, 4, -90, -236, -446, -732?\nAnswer: -1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 473?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 217113731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/94975356 and 49\/20351862.\nAnswer: 284926068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3554, 3559, 3564, 3569?\nAnswer: 3574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2354 and 506?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29723 - 6808. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + q + 24926, q - 1 - 6 = 0. List the prime factors of s.\nAnswer: 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 5, 2, 460 in increasing order.\nAnswer: -1, 2, 3, 5, 460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2*(-3)\/(-24))\/(7\/(-588)). Solve 11 = -5*g + a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t + 1. Let n be b(1). Is n less than 2.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 358489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 4*q - o, -54 = -3*q - 0*o + 3*o. Suppose 2*d - 77 = -g, d - 2*g = 4*d - 116. Suppose -c - 4*u - d = -6*c, 3*c + u = q. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 3*t = 60, -39737*t + 106 = 24*a - 39739*t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -5, -2 in ascending order.\nAnswer: -5, -2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 2, -2\/7, -33043?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2396?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**11*l**(-12) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*k - 21 = 44*k. What is the second smallest value in k, -4\/7, -2\/5, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101273?\nAnswer: 101273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x. Let w be g(1). Suppose -w*q - 352 = -3*n - q, 213 = 2*n - 5*q. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 5, e: 3}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/594 and 145\/23891934?\nAnswer: 215027406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 47*g + 604. What is the tens digit of v(-54)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 16 = -0. Let i(x) = 5*x - 4. Let s(q) = 8 - 13*q - 3*q**2 + 4*q + 2*q**2. Let l(k) = -5*i(k) - 2*s(k). Determine l(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 263601 and 351.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 3.3.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**4*g - 4*a**3 - 8*a**2*g - a*g + 2*a - 18*g wrt a.\nAnswer: 12*a**2*g - 24*a - 16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 3*r**2 + 6*r - 25. Let j be k(3). Let v(u) = -483*u - 110. Is v(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 101941, 203777, 305613, 407449?\n\"Answer: 101836*m + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 + 9*d**3 - 2*d**3)*(898 + 1088 - 1053) - 2 + 2 - d**3.\nAnswer: 3731*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**4\/24 + 7*y**3\/3 - 5*y**2. What is the units digit of s(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1 - (-4 + 1320\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 9*q - 10. Let d be m(7). Suppose d*v + 4*k = -k - 36, 5*v = 4*k - 4. List the prime factors of 14\/v*-2 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + (-15 + -4 - -22).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2415 and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5096277735, 5096277736, 5096277737, 5096277738, 5096277739?\n\"Answer: v + 5096277734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -161*q - 640. Let o be p(-4). Put 1, -5, o, -6 in ascending order.\nAnswer: -6, -5, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 0.1, 10, 3, -1\/12, -2\/13?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5*x - 70, 10*x + 64 = 5*q + 13*x. Let c = -142 + 708\/5. What is the smallest value in c, q, 1\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t + 235. Let z be (-219)\/((-1 - 2)\/((-10)\/5)). Let k = z + t. List the prime factors of k.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, t: 1, e: 3, x: 1, b: 6, u: 1}. Give prob of sequence ubce.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -89, -0.0323 in descending order.\nAnswer: 13, -0.0323, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 2*q - 11. Let k be c(4). Let o be (1\/k)\/(7\/(-12)). What is the biggest value in -2, 1, -4, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h + 2. Suppose 5*g + 41 = -4*y, 5 = 501*g - 502*g. Let c(s) = 3*s - 1. Determine y*r(m) - 5*c(m).\nAnswer: -7*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 173250143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211211110 + -22012201?\nAnswer: -1011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -3. Let k(v) be the first derivative of -v**3 + 0*v + 2 - 3*v**2 + 0*v**p + 2 - 3*v. Factor k(i).\nAnswer: -3*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 5, 20 in ascending order.\nAnswer: 1, 4, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2041092257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27\/18*134\/3. Find the third derivative of -u*f**6 + 0*f**2 + 58*f**6 + 4*f**2 wrt f.\nAnswer: -1080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3\/2 + 9283*c**2\/2 - 577015*c + 1135468 = 0. What is c?\nAnswer: 2, 124, 9157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3039531 is divided by 29.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 41*f**3\/3 - 6*f**2 + 6*f + 15. What is the tens digit of k(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2021320 + -10002?\nAnswer: 2011312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, v: 2, w: 2, x: 1}. Give prob of picking 1 w and 1 x.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**3 + k**2 - 1. Let d be p(1). Let m(w) = -d*w + 3*w - w. Let n(j) = 0*j - j - 5*j + 13*j - 6*j. What is n(m(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-1 - (0 - 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**2*o**4 - 1065*k**2*o + 193*k*o**2 - 15*o**2 + 2*o wrt o?\nAnswer: 24*k**2*o**2 + 386*k - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451087 a multiple of 1007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yywwwwwwwwqwwwwwwyww. Give prob of picking 1 q and 2 y.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10251355434 + -4?\nAnswer: 10251355430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3471 - -1280. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u + 9519 - 9518 - u. Suppose 3*w - 14 = 4. Let x = w + -4. What is f(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90875*m**3 + 3*m**2 + 2*m - 2592?\nAnswer: 545250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1318636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15174 - (126\/9 + -13).\nAnswer: 15173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1364*h**2*v**2 - 98*h**2 - 4*h*v wrt v.\nAnswer: 2728*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 1\/12*b**4 + 3*b - 56\/5*b**5 - 69\/2*b**2 + 0*b**3 + 43. What is the third derivative of r(u) wrt u?\nAnswer: -1344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4078 + 4078 + 102*l)*(-2 - 1 + 4)*(-1 + 1 + 1).\nAnswer: 102*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkgkgkggkkkkkk. Give prob of picking 3 g.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603600 is divided by 1001.\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 267\/(-9) + 20\/(-6) + 3. Let p be (-2 + (-72)\/t)*(3 - -2). Is ((-10)\/(-15))\/((p\/(-6879))\/(-1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-nine fifths of a millennium?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + 22 + 15 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + 0 - (-16 - 87)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/7 + 1949*r**3 + 122733*r**2\/7 + 368145*r\/7 + 368118\/7.\nAnswer: (r + 3)**3*(r + 13634)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 71 (b) -9\/20 (c) 20 (d) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17211?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -50*i - 1. What are the prime factors of r(-3)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 401*l - 79145. Calculate i(-145).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3\/5 - 6369*t**2\/5 + 8447992*t\/5 = 0. What is t?\nAnswer: -7496, 0, 1127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**2. Let d = 63 - 61. Let n(b) = 0*b - 456*b**2 + 458*b**d + 0*b. Determine q(n(w)).\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.8 + -10.3. Let l = 3 - -22. Let q = l + -27. Which is the third biggest value? (a) 1\/2 (b) -0.4 (c) p (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/3 + 18021*g**3 - 103364657*g**2 + 567526938517*g\/3 - 114212339428198.\nAnswer: (g - 1793)**3*(g + 59442)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-68)\/(-18) - (-258)\/1161. Solve -5*r - c*s + 6 = 0, -2*r = 4*s - 0*s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 9*s + 6)*(1 + 0 + 1 + s).\nAnswer: -9*s**2 - 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8\/177 + -7853\/2478. Calculate the common denominator of i and (-193)\/4 - 1 - (-72)\/96.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 242150*i**4 - 251360?\nAnswer: 968600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*w + 582 + 486 - 45 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (-7 + 14) - 42 - 5.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-5 - (6 - (7 + 5)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1148 and 2128.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*l - 2*l + 1 = 0, 3*l = -x + 2. Let v(k) = -k**3 - 8*k**2 - 8*k - 14. Let w be v(x). Let y(p) = -p**3 - 6*p**2 + 5*p - 9. Give y(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 10*h + 35. Suppose -11*k + 19 + 58 = 0. Calculate the remainder when x(k) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-2))\/((-3)\/(18*-1)). Suppose 11*d - x*d = 2*v - 1722, -3*v + 1718 = -5*d. Let z = d + 3140\/9. What is the common denominator of 81\/20 and z?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14136\/11 + 1294. Let z = n + -695\/99. Calculate the common denominator of z and 107\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 382124, 382121, 382118, 382115, 382112?\nAnswer: 382109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 400 and 360.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1091 plus 0.2233762633?\nAnswer: -1090.7766237367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 16. Suppose 0 = -2*r - 4*p - 68, -4 = 2*p - 14. Let u = 26 - r. What is the greatest common divisor of u and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 14. Suppose 13263*k - 13262*k = 3. Solve 2*i = 4*w - 30, k*i + b = i + w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -10. Let s = d - -9. Put -6, -4, s in decreasing order.\nAnswer: s, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 9*w**2. Let h(g) be the second derivative of -g**4\/6 - 72*g. Determine h(d(b)).\nAnswer: -162*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88928 = 22*l + 6*l. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -132 + 9 + 148*a + 358*a. Is g(19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1152)\/252 - 4)\/((-12)\/14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6189\/14 less than -443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((2*sqrt(468)*5 - sqrt(468))*-6 + -4))**2.\nAnswer: 64800*sqrt(13) + 34117600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328032 is divided by 54671.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -3 + -2 + -1 + 2. List the prime factors of 100\/(-60) + (-839)\/k.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -188*m**3 - 2937*m**2 - 804870 wrt m?\nAnswer: -564*m**2 - 5874*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -261.19 - -2159?\nAnswer: 1897.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5177680.\nAnswer: 2, 5, 61, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - -1*sqrt(66)*4)\/sqrt(6).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 35*p**2 + 47*p + 438. Determine i(-34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 166, 4, -9 in increasing order.\nAnswer: -9, 3, 4, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 5*w**7\/84 + 23*w**6\/10 + 167*w**5\/20 + 28*w**4\/3 - 9*w**3\/4 - 25*w**2\/2 + 78*w. Determine b so that f(b) = 0.\nAnswer: -25, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p**32)*p**14 assuming p is positive.\nAnswer: p**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 7180*m**2 - 157476*m.\nAnswer: -m*(m + 22)*(m + 7158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12, -8746, 2, -3, 3 in ascending order.\nAnswer: -8746, -3, 0, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2330250 is divided by 68.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/658 and -22\/189.\nAnswer: 17766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b - 604*b**2 + 305*b**2 - 7 + 298*b**2. Calculate h(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -i + 6. Let t be (i + -3 + 5)\/(-2). Let g be t\/2 - (-12)\/(-8). Is g greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119 divided by -6\nAnswer: -119\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338 - 72 = 82*f. Let g(w) = -4*w**3 + 2*w**2 + 2*w - 2. Let v(n) = n**2 + 5*n - 2 - 8*n**3 - 3 + 4*n**2. Give f*g(b) + 2*v(b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 109368583 a multiple of 554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5972 is divided by 464.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -338, -1782, -5708, -13358, -25974, -44798, -71072?\nAnswer: -106038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2759\/2 + 4187\/3. Calculate the common denominator of v and -63\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 4)*(9 - 76 - 9)*(-160 + 82 + 76 - 8*u).\nAnswer: 3648*u + 912","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t - 82. Let u be x(0). Let h = 136 + u. Calculate the highest common divisor of h and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7062220211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1593387.2 to the nearest one thousand.\nAnswer: 1593000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16948 + -16943. Sort 0, b, -510 in descending order.\nAnswer: b, 0, -510","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 - 5*p**2 + p**2 - 2*p**2 + p**2 + 0*p**2 + (-2 - 1 + 2)*(-p**2 + p**2 + 2*p**2) - 3*p - p**2 + 3*p)*(48*p + 18*p**2 - 48*p)*(59 - 22*p - 59).\nAnswer: 3168*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -120.46 - 5245.04. Round q to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*f**3 - 2*f + 13 - 11 - 72*f**3 to the form y*f**3 + t*f + r*f**2 + p and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 17, -2, 24, -22?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 11 = n, 5*v + 2*n - 31 = 31. Let p = -375 + 397. Suppose -39*q = -28*q + p. Sort q, -3, v in descending order.\nAnswer: v, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4))**(-27) assuming n is positive.\nAnswer: n**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxm when three letters picked without replacement from xxxxxxxmxxxmx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17413858 is divided by 1731.\nAnswer: 1729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -3. Suppose f*b = 3*b. Suppose -j + 5 + 6 = b. What is the remainder when 21 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/5)*c\/(c*c**9))\/(c\/(c**(-11)*c*c)*c**(3\/4)) assuming c is positive.\nAnswer: c**(-411\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -39*(2\/3 - 2). Calculate the highest common factor of s and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 2, -1, 3, -43 in decreasing order.\nAnswer: 3, 2, -1, -15, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -9*j - 19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 250988 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**1*(g*g*g\/(g\/(g*g**(-1\/46)*g))*g)\/g*g\/g**(1\/3)*g**22 assuming g is positive.\nAnswer: g**(3677\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*k + 20*l - 21*l, -4*l = -k - 5. Sort -0.09, k, -3\/2, -0.1 in decreasing order.\nAnswer: -0.09, -0.1, -3\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 10 = 0, 2*k - 17 = 5*a + 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*-1)\/(4\/(-4)). Let i(x) = -x**2 + 5*x - 1. Let b be i(y). Find the second derivative of -5*s**2 - b*s - s + s wrt s.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 + 128*i**2 - 2664*i + 18144.\nAnswer: -2*(i - 28)*(i - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 18?\nAnswer: 11\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 5*c**2 - 5*c + 4. Suppose 2*p = -4*d + 25 - 5, -4*d - 4*p = -24. Let x be q(d). Solve x = f + 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4\/24 + 5*z**3\/6 + 23*z**2\/2 - 2*z. Let j(u) be the first derivative of n(u). What is j(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1101, -4426, -9967, -17724, -27697, -39886?\nAnswer: -54291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43 in -0.5, -46\/13, 0.1?\nAnswer: -46\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*a = -103*a + 1212 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2412 divided by 18\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 751*y - 52 = 738*y. Solve 0 = -5*k + y - 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -363*m + 1. Let f(s) = 373*s. Calculate 4*f(a) + 3*v(a).\nAnswer: 403*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17257 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i + 29759 + 10469 = 130*i. What is the closest to i in 0.05, 1\/8, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 107203 and 20225027.\nAnswer: 1817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -13*w - 1. Let g(k) = -k**2 + 27*k - 26. Let o(l) = -d(l) - g(l). Determine o(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 v when three letters picked without replacement from {q: 1, v: 2, b: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**5\/20 + z**4\/8 - z**3 - 5*z**2. Let v(g) = 0. Calculate g.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/6 + 5 + -7. Which is the biggest value? (a) -2\/9 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421613873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1396 divided by -51\nAnswer: -1396\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4 = -11, 0 = 4*i - 5*r + 5841. Let u = i + 5469\/4. Let s = -86 - u. Which is greater: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6549637004 to the power of 1\/5, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h - 78. Let w be n(-35). Suppose -7 = -c - 9. Let x be (-4)\/(c\/4*2). Put 3, w, x in descending order.\nAnswer: x, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3694780, -3694768, -3694742, -3694696, -3694624, -3694520?\n\"Answer: v**3 + v**2 + 2*v - 3694784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 13 = o, 3*o + 3*f - 14058 = -14043 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 111533660 divided by -2\nAnswer: -55766830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**4\/12 + q**3\/3 + 3*q**2 - 22*q. Let t be w(3). Differentiate 100*r**3 + 103*r**3 + 27 - 197*r**t wrt r.\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 17531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/1*335\/(-5)*1*203\/(-609)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37674 + 36\/6 + -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/15, -2, 2\/7 in ascending order.\nAnswer: -2, 2\/15, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-16) - ((-69530)\/(-16) - 1). Round k to the nearest 100.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94bc0b (base 14) to base 10\nAnswer: -5026627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-6) - 42\/(-4). Let r = d - 1. Let p = -406 + 416. What is the lowest common multiple of r and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 15892 and 15891 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 29556*n**2 - 7 + 5*n - n - 29547*n**2 - 4*n as d + u*n**2 + s*n and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u**2 + 0 + u**3 + 4 + 1. Suppose 3*c = -o + 647, -3*o + 6 = -0*o. Let y be c\/45 + (-2)\/(-9). Give r(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o - 5. Let x(c) = -c - 1. Let s(m) = 13*m - 36*m + 30*m - 87 + 35*m. Let k(a) = -s(a) + 6*x(a). What is -2*k(i) - 33*z(i)?\nAnswer: -3*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 587 + 49603 = 21*r. What are the prime factors of r?\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*q - 3008. Let x = -48 + q. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 23*g - 19. Let r(q) = -24*q + 14. Let i(f) = -4*r(f) - 3*s(f). Let j(w) = 3*w. What is j(i(t))?\nAnswer: 81*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 20*z - 2*z**2 - 8*z + 8 + 4*z**2 = 0. What is z?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003325 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 26*n + 2. Let s(l) = 2*l + 2. Let a = 41 - 39. Let v(k) be the first derivative of k**2 + 3*k + 17. Let m(y) = a*v(y) - 3*s(y). Give z(m(h)).\nAnswer: -52*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -8. Suppose 7*x - 3*x = i. Suppose -3*j = j - 4. Sort x, j, -1\/2 in increasing order.\nAnswer: -1\/2, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 2)*8\/3100*-5\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210 + -23020320020?\nAnswer: -23020320230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313\/14983 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5))\/(-3*(81\/(-9))\/27).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28220316 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 the sixth root of 63522726 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7910*c*n**3 + 12*c*n + 2*c + 8*n**3 + 19*n**2 - 16*n + 20 wrt c?\nAnswer: 7910*n**3 + 12*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -28355025.2 rounded to the nearest 10000?\nAnswer: -28360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15240323\/74612 + -9395\/46. Calculate the common denominator of t and -11\/12.\nAnswer: 9732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 3439?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2620386 - -33?\nAnswer: 26203b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/3 - 22*u**3 + 92*u**2 - 280*u\/3.\nAnswer: -u*(u - 2)**2*(u + 70)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n - 12. Let t be z(7). Solve -k = t*b - 9, b + k + 3*k = 22 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2963 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -5*v - 15 + 4, 5*w - 15 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 98281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-2 - 23 - -10) + 36.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 7324689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**3 + 78*q**2 + 2*q + 92. Give p(-39).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -801527, -3206080, -7213665, -12824282?\nAnswer: -20037931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186957.5 grams in tonnes?\nAnswer: 0.1869575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -479, 1332, -3, 5 in descending order.\nAnswer: 1332, 5, -3, -5, -479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + (16 - (-5 + 7 + (-18 - -9))).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 - 14*j**2 + 44*j - 5. What is the remainder when n(7) is divided by 107?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3601 - -3666.11. Let h = -7.09 - l. Round h to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 788 - 1?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26b38 (base 12) in base 14?\nAnswer: 156b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 114\/40*245\/(-126) and 31\/(-372)*(-420)\/(-153)?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a centimeter in micrometers?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -132*k**2 - 16*k. Let h(f) = 131*f**2 + 12*f - 1. Give -3*a(z) - 4*h(z).\nAnswer: -128*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 100*r - 3005. Determine t(30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 0, -3, -126 in increasing order.\nAnswer: -126, -3, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -35. Suppose 0*t + 3*t = p. What is the least common multiple of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*b + 34, -s = 4*s + 3*b - 47. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.27944 to 3 dps.\nAnswer: -0.279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3*m + m - 5940016, -3*h + m = 17820020. Let x be h + (-2 - -7) + 3. Round x to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*p**2 + 13*p**2 - 6*p**2 - 7*p + 42*p**4 + 2*p**3 wrt p?\nAnswer: 1008*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*v - 8 = 3*v, 0 = -2*v. Let o be 10\/40 - 54\/l. Let t = o - -10. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 51149356?\nAnswer: 1\/25574678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 5*l - 5 = 0, -2*z + 3*l + 5 = -14 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -282, -550, -804, -1038, -1246, -1422?\n\"Answer: z**3 + z**2 - 278*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-30)\/18)\/((-10)\/18). Solve -2*d = i*r + 22, -7*d + 20 = -11*d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -1)\/(-2 - -3). Suppose 3*n = z - 16, -y*z - 3*z = n - 16. Suppose -z*i + 1 = -47. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128.1 + -128.2. Let o = -0.1 - 0. Let n = o + -5.9. Which is the closest to -1\/2? (a) n (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24817692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**2 + 10*j - 1. Let y be n(9). List the prime factors of (y\/6)\/(16\/(-216)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41693833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1591*(-74)\/213564*-78\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/6)\/((-3)\/(-9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 107469 and 0.06.\nAnswer: 6448.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 4*j - 3. Let s be i(-5). Suppose -s*h = 5*f + 27, 5*h - 6*f = -3*f + 10. Is (1 - 0) + h + 89 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22323520 and 55.\nAnswer: 245558720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 8. Suppose -2*h = -5*o - 0*o - 1, 2*o = 5*h + 8. Which is the nearest to -1\/7? (a) z (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 937 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -9999.\nAnswer: -1\/9999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, m: 4, z: 9}. Give prob of picking 3 m and 1 z.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-3)\/3*138. Let h be 145\/r + (-5)\/(35\/(-2)). Let w be ((-4)\/8)\/(17\/(-4)). Which is the smallest value? (a) -0.2 (b) w (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*d - 17. Suppose 0 = -d*s + 2*s + 316. Suppose -v - s = -2*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/28427?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 30. Let m = 17.8 - j. Which is the third biggest value? (a) m (b) 0.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -18. Suppose v + 11 = 2*x. Let j(n) = 3*n**2 + n + 1. Let q be j(-3). Solve -x*i + i = -q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 - (0 - -2)) - (2 - -11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221011 + -2?\nAnswer: -221013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27.9496 + 28. What is w rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 740 - 906. What is the closest to 0.1 in -2, -0.5, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*u - 168*u = 178*u + 24*d - 114, 0 = 3*u - 3*d for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 15, 5*g - 431792 - 1298991 = n. Suppose -3*p - g = -97156. Round p to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2675211 to the nearest integer?\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1179, 1180, 1181, 1182, 1183?\nAnswer: 1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 121123?\nAnswer: 121121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.98046 nanometers in centimeters?\nAnswer: 0.000000698046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 10. Suppose k + 4*h - 8 = s*k, -4*h = k. Put -2, 1, k, 4 in decreasing order.\nAnswer: 4, 1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1028856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 43*g - 924. Give d(22).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*d + 3 = -39, 22 = x - 3*d. Let q = -14 + x. Suppose -3*v + 10 = -q. Solve -v = -3*y - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from ueuuizuuy.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f - 175917 = -40*f. List the prime factors of f.\nAnswer: 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15525 = -5*u + 4*r, -3*r - 4100 - 2110 = -2*u. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -1, -4, 3\/4, -1123, 0.09?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4551*y**2. Let b(s) = -6*s. Calculate t(b(f)).\nAnswer: 163836*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(3\/13)*((o**(1\/16)\/o)\/o)\/o*o)\/(o**(2\/3))**30 assuming o is positive.\nAnswer: o**(-4307\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 4:32 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*z - 6 + 3 - 30*z.\nAnswer: -71*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1397*d**3 - 407 + 1178 - 400 - 371.\nAnswer: -1397*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l**(4\/11))\/(l**(-31)*l*l)*(l\/(l**(-1\/5)*l))\/l*l**(-3\/20) assuming l is positive.\nAnswer: l**(6911\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 67*j**3 - 2344*j**2 - 58*j + 799. What is i(35)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 12. Let j be 48\/(-2) - (3 - 5). Let f = 33 + j. Solve 9 + f = a*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 2)*(-116660*w - 419 - 88 + 116640*w) as l*w + o and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 16. Let p be 0\/(-5) - (s - -1)*-1. Let l be (3 - -1)*p*2\/16. Is 0 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -31.43.\nAnswer: -31.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/22)*h)\/h**(-9\/4))\/(h**10*h*h**(-1\/6)) assuming h is positive.\nAnswer: h**(-1007\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (11 - (11 + 52))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10793913.7199811 - 10793913. Let f = -0.72 + z. What is f rounded to 6 dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2796.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**3 - 2*z**3 - z**3)*(-6*z + 5*z + 3*z) + (0 + 0 + 2)*(85*z - 11*z**4 - 85*z) - 728 + 728 - 116*z**4.\nAnswer: -130*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -313021213?\nAnswer: -313021213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 58*n**2 + 840*n + 830. Let h(u) = -49*u**2 - 840*u - 831. Let x(j) = -5*f(j) - 6*h(j). Factor x(y).\nAnswer: 4*(y + 1)*(y + 209)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/179258 and 29\/141.\nAnswer: 537774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.65 to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3081, -12317, -27687, -49179, -76781, -110481, -150267, -196127?\nAnswer: -248049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 22*v + 1. Let k be d(1). Let u = -20 + k. Let c be 6\/(-9)*-1*u. Which is smaller: 4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 369, 727, 1095, 1479, 1885, 2319, 2787?\nAnswer: 3295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 2\/3, -1\/14, -1852.2?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2867 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46.1 + -48. Let x = h + 1.6. What is the third smallest value in x, -0.5, -8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/9)\/(g\/(g\/((g\/((g\/(g*g**6))\/g*g))\/g))))**(-1\/4) assuming g is positive.\nAnswer: g**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 24060 = 2*z - 5160, -z + u + 14616 = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/7))**0)**8 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 11. Let o(a) = -a - 11. Let w(j) = -5*k(j) + 4*o(j). Let t be w(-8). Solve t - 8 = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -448*r**2. Let y(p) = -3*p**2. What is b(y(u))?\nAnswer: -4032*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 69907751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022 + 1112222221?\nAnswer: 1120001020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147383079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + -42*(0 + -1). Suppose g = 5*f - f. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**5\/3 - 106324*o**4\/3 + 706177312*o**3\/3 + 4947601328*o**2\/3 + 5657075584*o\/3 - 11310747904\/3 = 0.\nAnswer: -4, 1, 13294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.7 - 240.7. Let s = f - -226.9514. What is s rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 3. Let z = 32 + -29. What is the smallest value in p, -1, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 170627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 11:57 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 - 39*p - 38*p + 77*p.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3145 + 3144.8721. Let c = -0.0276 - p. What is c rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002201 (base 3) to base 4.\nAnswer: 203110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2333\nAnswer: -2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(95) + -3*sqrt(95) + sqrt(95)) - sqrt(95)) + sqrt(95))\/(sqrt(5) + sqrt(40)\/(sqrt(48)\/sqrt(6))) + 4.\nAnswer: 4 + 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 144892579 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -97906762 * -0.1\nAnswer: 9790676.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 146526683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 7*r + 184 = 0. List the prime factors of r.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84 + -80. Solve 0 = 3*k + 3*t - 15 + 3, 3*t + 9 = f*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*w + 52*w = 0. Suppose 2\/5*r + w*r**2 + 0 - 2\/5*r**3 = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000000010011 - -10111001001?\nAnswer: -10101001001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/88 and -57\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 8470896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 7. Let n be (-1)\/2 + (-408)\/(-16). Suppose 5*u = 75 - n. Let o be u*((-1)\/(-1))\/(-2). What is z(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**5 + 11*w**4 - 21*w**3 + 25*w**2 - 18*w + 2. Let i(v) = 2*v**4 - v**3 - v - 1. Let l(z) = -h(z) + 2*i(z). Find a, given that l(a) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**5 - 2*v**2 + v - 2*v**3 + v**4 + 1 + 0 + 5*v**5 - 5*v**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 73. Suppose 2*v = -3*z - 4 + 32, -2*v = 5*z - n. What is the remainder when 38 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 * -1.1\nAnswer: 0.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207617385*s**2 + 207617385*s**2 + 12*s**3.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4 = -0*y, -z + 3*y - 7 = 0. What is the nearest to -1 in 0.5, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**7\/630 + u**6\/540 - u**5\/180 + 5*u**3\/3 - 2. Let i(l) be the third derivative of n(l). Suppose i(f) = 0. What is f?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/16098 and -31\/192.\nAnswer: 515136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*w + 69*w + 607760 - 21053 = 0. What are the prime factors of w?\nAnswer: 3, 11, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 683, 3070, 7145, 12908, 20359?\n\"Answer: 844*f**2 - 145*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 greater than 0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 9*c**2 - 2*c + 7. Let y be f(-9). Let v be 80\/y - 2\/10. Solve -v*l + 5 - 17 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -812 + 2035. Let t(h) = -4*h + 7*h - 1221 + z. Let v(c) = c + 4*c + 1 - c - 3*c. Determine 2*t(r) - 5*v(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10173?\nAnswer: 3, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*n**5 - 686394*n**4 - 2625707*n**2 wrt n?\nAnswer: -420*n**2 - 16473456*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -3, 8, 1.\nAnswer: -3, -2\/3, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 16*v - 2. Let h(z) = -17*z. Give -4*a(j) - 3*h(j).\nAnswer: -13*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m + 105*m - 4215 = 825. Calculate the remainder when 116 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + 2. Calculate the lowest common multiple of o and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 930856384 to the power of 1\/2, to the nearest integer?\nAnswer: 30510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + (2*sqrt(228) - sqrt(228) - sqrt(228)))\/sqrt(12) + -1 + 1*sqrt(19).\nAnswer: -1 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 358017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1436636 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 692911 and 893?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88895 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1008) - (sqrt(1008) + -5)) + (sqrt(1008) - ((sqrt(1008) + 2)*-2)**2).\nAnswer: -4028 - 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 84 + 7\/((-21)\/12). Suppose 3*k - 12 = 0, 3*f - 3*k = k - 7. Suppose l - a = -f*l. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1573) + 1 + sqrt(1573).\nAnswer: 1 + 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (262*h**2 - 15*h**4 - 262*h**2)*(-h - 4*h + 3*h).\nAnswer: 30*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, e: 6, g: 2, j: 4, y: 1, w: 1}. Give prob of sequence jjy.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/180)\/((-1)\/(-3)). Let h = -4.9 + 0.9. Which is the nearest to 0.1? (a) h (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (1 - 2) - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20440 * -0.252\nAnswer: -5150.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 8*i**4\/3 + 28*i**3\/3 + 12*i**2 + 20*i\/3 + 4\/3 = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 3 - 5. Let s = t + 3. Suppose -2*l + 20 = -6*l. Put -4, s, l in descending order.\nAnswer: s, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -37359, -4, 3?\nAnswer: -37359","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66234 is divided by 72?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/2282 - (-1 + 1\/1). Let n be (-1)\/4 - (-133489)\/(-4564). Let h = l - n. What is the common denominator of h and -24\/13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7858 = -3209*y + 75186 + 38297 - 9355 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 5:48 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 20 - 32 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/sqrt(360)*-2 - ((sqrt(171) + -3*sqrt(171))*-6)\/sqrt(9).\nAnswer: -37*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -497 - -497. Suppose -50 + 265 = 4*k - 5*b, 5*b + 15 = x. What is the remainder when k is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**50\/(g\/(g**(2\/7)\/g)*g*g)**(-6\/25)*(g*g\/g**(-1)*g*g*g**(-2\/15))**(-5) assuming g is positive.\nAnswer: g**(-12307\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13 - 19444\/(-8) - (-6)\/4.\nAnswer: 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 117771690 and 0.4.\nAnswer: 47108676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12 + 399\/(-38) - (-63)\/(-30). Sort 0.5368, -2\/15, t in decreasing order.\nAnswer: 0.5368, -2\/15, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**5\/60 - u**4\/8 - 32*u**2. Calculate w(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*c - 525 - 86 = 0 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11 - -11) + 2)\/(296\/(-111)) + 226\/(-8)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 8*v**2 - 3*v + 20. Determine d(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -350252 - -13?\nAnswer: -350235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12014363 is divided by 463.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -2, 952, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2952, -11768, -26456, -47016, -73448?\nAnswer: -105752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/30)\/((19\/418)\/(11\/(-22)))\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + sqrt(1539) + 0)*3.\nAnswer: 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*sqrt(288) + 1 + sqrt(288) - (-2 + (3 + sqrt(288) - sqrt(288)))) + -2.\nAnswer: -4 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 c when four letters picked without replacement from tcctcccccccccctcctct?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00532 take away 10140?\nAnswer: -10139.99468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 9*z + 14 = -5*h, 5*z - 446 = -25*h - 491 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -990762 divided by 4\nAnswer: -495381\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 654.2121278 to 0 decimal places.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -346*v - 362*v - 134*v - 24*v + 190*v to b*v + y and give b.\nAnswer: -676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 331846, 331845, 331844, 331843, 331842?\nAnswer: 331841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179 - 0 - (-3 - -6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/2, -4, 90, -3, -41?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/2018160 and -149\/10343070?\nAnswer: 82744560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 676302.2l?\nAnswer: 676302200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - 4*sqrt(209)*5 - sqrt(209)*2*-4)\/(-4*(sqrt(55)\/sqrt(5)*-4 + sqrt(11) + sqrt(11))*-6).\nAnswer: 11*sqrt(19)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -11*c**4\/4 - 8*c**2 + 110. Let f(l) = -6*l. Calculate w(f(p)).\nAnswer: 396*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 6, 1\/208, 4?\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/339 - 109\/678. Sort -12, a, -0.4, -1 in decreasing order.\nAnswer: a, -0.4, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10756 - 422?\nAnswer: -11400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)\/x*x**(-6)*(x\/(x\/((x**2*x)\/x)))**(-4\/23))\/((x\/x**(2\/3))\/x*x**(-1\/3)*(x\/x**(-1))**0) assuming x is positive.\nAnswer: x**(-261\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 28*l**2 + 58*l - 61. Calculate the remainder when r(26) is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*m + 35, 2*p = -m - 0 - 2. Suppose 1 = h - 5*i - 5, -h + m*i = -10. Solve 4*x + h = 3*q, 3*q - 16 + 5 = x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -155885\/1064 + 2784\/19. Which is the biggest value? (a) -4.8 (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 33 = -3*j + 5*k, 26 = 2*j - 4*k. Suppose j*a = 3*a + 8. Suppose -a*x + 194 = -0*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147884.07 rounded to the nearest 1000?\nAnswer: 148000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.022 (b) -1 (c) -7 (d) -2 (e) -0.3 (f) -414\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3\/(x\/(x**(-2)*x)))**(-19\/2))**(3\/4) assuming x is positive.\nAnswer: x**(-57\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4885, 9738, 14591?\n\"Answer: 4853*z + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/28*105\/30.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(9\/4)\/t))\/t**(-26))\/(t**(-2\/37)\/(t**(-1\/10)\/t)) assuming t is positive.\nAnswer: t**(18281\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1784194*c + 20010443 wrt c.\nAnswer: 1784194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-452)\/(-14) - 16\/56. Suppose 0 = -l + 35 + x. What are the prime factors of l?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5996027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80489 is divided by 806?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1323 = -4*m + 249, 3*o + 2*m - 1571 = 0. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5088 = 316*i + 4859 + 797 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 14181782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4\/5 - 16*a**3 + 78452*a**2\/5 + 3723344*a\/5 - 3801714\/5 = 0 for a.\nAnswer: -193, -49, 1, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2408, -4838, -7282, -9746, -12236, -14758, -17318?\nAnswer: -19922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 0 - 3 - m + 5. Let b be f(-1). Find the second derivative of -5*v + 2*v - 5*v**2 + 4*v - b*v wrt v.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 - -34. Let r be ((-3)\/9)\/(1\/y). Suppose r*h + 17 = -7. Let a(i) = i**3 + 3*i**2 - 6*i - 1. Give a(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/24 and 68\/33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 339, 707, 1113, 1575, 2111, 2739, 3477, 4343?\n\"Answer: 3*b**3 + b**2 + 344*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**2 + u - 4. List the prime factors of w(3).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbbhbllbbllbblsbbbl. What is prob of picking 2 b?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggh when four letters picked without replacement from hghgvghhhhhhhhvghgh.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggwgwwxgggxww. What is prob of picking 1 g, 2 x, and 1 w?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6303216449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(132)\/(sqrt(24)\/sqrt(2)).\nAnswer: -2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1248\/520)\/((-9)\/6)*(-150)\/18*-3?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 484 - 15*u**2 + 2314 + 6*u**2 + 4*u**2 to the form s*u**2 + i + p*u and give i.\nAnswer: 2798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 90 = -y. Suppose -2*c = 55*h - 57*h + 34, -5*h = 4*c + 86. Which is smaller: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4410*j**3 - j - 2. Is z(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, p: 1, z: 2, r: 2}. What is prob of picking 1 r, 2 z, and 1 p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 57465696007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 593454 and 593454.\nAnswer: 593454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 625 + -656.46. Let h = -1.46 - t. Let v = h + -30.5. Put 28, 5, v in descending order.\nAnswer: 28, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2386065782.\nAnswer: 2, 1193032891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5888.2 != 2\/577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12713 is divided by 525.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 9, -4 in increasing order.\nAnswer: -9, -4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54.4 + -8.4. Let n = 48 - s. Put -2\/7, 0.05, n, -0.5 in decreasing order.\nAnswer: n, 0.05, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 289753711?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 227081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 4:52 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 118, 258, 398, 538, 678?\n\"Answer: 140*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/708979 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 10. Suppose -i*p - 6 + 26 = 0. What is the lowest common multiple of p and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53135869 is divided by 13283962.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -10*k. Suppose -5 = 3*v - 3*r - 2, -15 = -v + 5*r. Let c(d) = 5*d. Let g(z) = v*c(z) - 2*u(z). Let a(q) = q. Give g(a(p)).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**5\/20 - z**4\/12 + z**3\/3 - z**2\/2 + 3*z. List the prime factors of t(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 289173 (base 14) to base 16.\nAnswer: 157be1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 (base 14) in base 11?\nAnswer: -1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -50879, -51051, -51221, -51389, -51555, -51719, -51881?\n\"Answer: j**2 - 175*j - 50705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 2*w - 2. Let t(i) = 2*i**2 - 5*i - 5. Let r(b) = -5*m(b) + 2*t(b). Let n be r(0). Suppose -4*c + 3 + 5 = n. Solve -c*z - 15 = -5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8734 = -276*l - 8182 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10\/7 (b) -1\/4 (c) -7\/6 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 294\/(-2499) - (-2616)\/561. Solve -38\/11*g**3 + 14\/11*g**4 + 8\/11 - 2\/11*g**5 + r*g**2 - 32\/11*g = 0 for g.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and -15298.\nAnswer: 16827.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 191211 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2575 - -21?\nAnswer: 2596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*z**2 + z - 302 - 5*z**2 + 268)*(115 + 120 - 35 - 44) in the form i*z + s*z**2 + m and give s.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 173 - -a1?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-40)*3*10\/6. Let u(b) = -8*b**m - b + 9*b - 8 - b + 2*b. Let g(r) = 2*r**2 - 2*r + 2. Determine -9*g(q) - 2*u(q).\nAnswer: -2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -274 + 277. Is 5 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4247.15107 - -0.128.\nAnswer: 4247.27907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 + 10.7. Let g = s - 9.6. Which is the second smallest value? (a) 3\/5 (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1497674 divided by -10547.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -25758.37 rounded to the nearest ten?\nAnswer: -25760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 172947*265\nAnswer: 45830955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/23 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 5*h - 5*l - 75, -l - 54 = -4*h. Suppose 0 = -6*j - h + 61. Solve 3*k - j*k = 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (17 - (24 - 10)) - 22 - (5 - 129).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, 5 in descending order.\nAnswer: 5, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1101 - 11*z - 778 - 14*z + 2227 in the form k + j*z and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154233 and 1098.\nAnswer: 18816426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**4\/24 - r**3\/3 - 3*r**2\/4 - 2. Solve p(w) = 0 for w.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -1. Let b(m) be the second derivative of 3*m - 3*m**2 - 1\/6*m**3 + 0. What is 6*a(r) - b(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, g: 1, o: 4, q: 3, h: 5, x: 3}. Give prob of picking 2 h, 1 q, and 1 x.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -179 - -177. Let p(j) = -78*j**3 + j + 8. Let r(v) = -39*v**3 + 4. Let x(f) = w*p(f) + 5*r(f). What is the second derivative of x(q) wrt q?\nAnswer: -234*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8427*g + 192419 = 1830*g - 669169 for g.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16248\/(-33850)*1*5\/3\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*k = 713*k + 692*k - 219716 for k.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -166 - -168. Suppose 2*y = b - 246, -5*b - 990 = -9*b + d*y. What are the prime factors of b?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) 0.1 (c) -5 (d) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/10373 - 31107\/41492. What is the second smallest value in w, -5, -11, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-k**3 - 1 + 1) - k**3 + 2*k**3 + k**3 - 3 - 6*k**3 + 3 + (0*k + k + 0*k)*(-3*k**2 - 3*k**2 + 4*k**2).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -7. Let b(i) = i + 2 + 5 - 6. Let l(u) = 4*u + 4. Let r(y) = -3*b(y) + l(y). Let t(f) = 7*f + 7. Determine c*t(q) + 6*r(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 - 5*l**2 + 2*l - 22. Is c(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/20 and -161\/396?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*g - 24 = 0, 0 = -5*i - 2*g - g + 60. Suppose -2*m = 18 + i. List the prime factors of 44\/6 + 5\/m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185 - 405 = -44*a + 746 - 16 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -20?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 8. Let b = 229 - 149. Calculate the greatest common factor of b and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -71, -92, -105, -110?\n\"Answer: 4*r**2 - 33*r - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdtdddddjddj. Give prob of sequence ddt.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*3 + (-3 - -5). Suppose 3*p - 2*n = 15, -j*n - 6 = 2*p - n. Find the first derivative of -2*v**p - 1 - 3*v**3 - 3 wrt v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 4*s - 7*s. Suppose 3*g + 8 = a - s, -3*a + 3*g + 45 = 0. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -350 divided by 10078?\nAnswer: -175\/5039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-320)\/120*4\/(-64)*105*2\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 - 10*o + 12. Let f be h(6). What is the tens digit of (-1339)\/(-5) - f\/(-150)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/16440 and -51\/10?\nAnswer: 16440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-12)\/(-6)*1\/5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4703\/22 < -215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*v**3 - 2*v - 8*v**4 - 3*v**2 + 5*v**4 + 4*v**2 - 2*v**2 - 6 to t + b*v**4 + r*v**2 + d*v + w*v**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 822644108 a multiple of 13963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 232 = 2*o, -5*o + 5*f - 4*f + 607 = 0. Do o and 125 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b76d64 (base 16) in base 13?\nAnswer: 264b795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 6*n - 2*n - 6*n - 41.\nAnswer: -14*n - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 127 and 374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 + h**3 + 5*h - h**3 - 3*h to the form s*h + p*h**2 + l + m*h**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 26 = 6. Let m be i\/28 + 32\/14. Put 5, 3, m in descending order.\nAnswer: 5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/42*22617\/7180.\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 - 200\/50\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 37*f**2 + 2*f - 58. What is d(37)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c2a7 + -2?\nAnswer: 4c2a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (1 + -10 - -2)) + -20 + -8.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6722*s**2 + 6521*s**2 - 13547*s**2.\nAnswer: -304*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*a - 406 = -707 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 - 36. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55578)\/(-230100) + 21\/546.\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/((-2)\/8 + 600\/3680). Solve j*m = 154*m - 96 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -653*b**2 + 3*b - 38 + 263 + 648*b**2 - 23*b.\nAnswer: -5*(b - 5)*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 14*d. Let r(u) be the third derivative of -u**5\/15 - u**2. Calculate r(o(m)).\nAnswer: -784*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 827085.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -32. Let q = 849\/22 - 1687\/44. What is the biggest value in z, -3, -1.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.1. Let c = 798 - 803. What is the closest to -0.1 in c, h, 0.9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r + 4*r - 5*r - 4 - r + 4 + (-12*r + 3*r + r)*(1 - 5 + 1) to the form o + b*r and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 - -3.6. Let i = -119\/3 + 41. Let g = 65 + -65.5. Sort g, n, i in decreasing order.\nAnswer: n, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*h - 441*h - 20*h = 31*h - 46008 for h.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 less than -60901491130791?\nAnswer: -60901491130807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s - 7. Let v(p) = -1. Let u(l) = 14*v(l) - 2*x(l). Let a(k) = -3*k - 2*k + 2*k**2 + 5*k. Give a(u(w)).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqscsqcqsccqscsqsss. Give prob of picking 1 q and 1 s.\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 30 = -4*i, 0*s - i = -4*s + 27. Let j = s + -6. Solve j = u - t + 6 - 3, 3*u + 9 = -5*t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20329709543 - -65.57.\nAnswer: 20329709608.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2793 + -2772. Which is smaller: 4 or p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 4:36 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**11*c*c**(6\/7)*c)\/(c**(22\/7)\/(c**(-18\/7)*c)) assuming c is positive.\nAnswer: c**(64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 24. Let t(p) = 4*p + 8. Let j(r) = -3*r - 7. Calculate m*j(l) - 5*t(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -228.\nAnswer: -1\/228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 = -t + 6*t. Let c = 55 - t. What is the second derivative of -17*w + 0*w**3 + c*w**3 - w**3 - 5*w**3 wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37201412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from {x: 3, q: 1, c: 1, j: 2, r: 4, i: 7}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((-1)\/2*69\/(-276))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**7\/30 + 3*z**5\/10 - 18*z**2. Find the third derivative of m(a) wrt a.\nAnswer: -168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 3*r. Let y(z) = z - 1. Let i be y(r). Let m = 78 + -79. Which is the closest to i? (a) -2\/13 (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1025*g - 473*g - 222*g + 1013*g to n + t*g and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/72 and 31\/242613?\nAnswer: 1940904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/12)\/((-2)\/(-360)*3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.066 + -20.066. Which is bigger: a or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 20*s**2 - 5*s. Let d(x) = -38*x**2 + 11*x. Let n(w) = 3*d(w) + 7*t(w). Let l(k) = -3*k. Give l(n(y)).\nAnswer: -78*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6717250 or 6717251?\nAnswer: 6717250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -249 - -295. Suppose 0 = -d + 24*d - b. Solve 0*o + d*o + 4 = -4*u, 0 = -5*u - 5*o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h*j**3 - 35*h*j**2 - 2*h*j + 5*h - 224*j**3 + 23*j**2 + 15*j - 98746 wrt j?\nAnswer: 24*h*j - 70*h - 1344*j + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -19*j**2. Let h(g) be the second derivative of -g**3\/3 - 9*g. What is m(h(q))?\nAnswer: -76*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*m**2 + 23080 - 23080.\nAnswer: 34*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 232255*f + 0 + 3*f**3 + f**4 + 3*f**4 - 9*f**2 + 232255*f as k + n*f + r*f**3 + w*f**4 + q*f**2 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 2*b - 4. Let u = 140 - 140. Let o be (u - 6)\/(26\/13). Calculate t(o).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500)\/sqrt(4) + (sqrt(320) + 1 - sqrt(320))**2.\nAnswer: 1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 - 1 - 4*k**2 + 871*k**3 - 692*k**3.\nAnswer: 179*k**3 - 9*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/4)\/((-24)\/256). Suppose -4*i = 4*p - w, -2*p + i + 8 = -0*i. What is the least common multiple of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in -2\/7, 24, 0.117?\nAnswer: 0.117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - -3*-4*sqrt(68) - (sqrt(68) - sqrt(68)*2)*-5)\/(4*sqrt(4)*-5 - (sqrt(4)*-2 - sqrt(4))*-2).\nAnswer: 8*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.134256, -5, 0.2.\nAnswer: -5, -0.134256, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, -12, -30, -66, -126?\n\"Answer: -i**3 + i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) 1\/4 (b) 2 (c) 0.4 (d) -88\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 1:45 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/11 in 6\/41, -362, -3?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -13*y**2 - 14*y - 10. Let w(n) = -6*n**2 - 6*n - 5. Determine -2*h(o) + 5*w(o).\nAnswer: -4*o**2 - 2*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-158)\/316*(-12)\/30?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 3190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10790)\/664*(-24)\/(-150)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*t, 3*p + 52 = 7*p + t. Solve -65 = p*s - 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -148, -213, -272, -325, -372?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 693809.\nAnswer: 693809.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 10 = 4*l, -s + 24*l - 28*l + 6 = 0. Factor 0*x + 16*x**3 + 0 + 50\/3*x**5 + 30*x**4 + 8\/3*x**s.\nAnswer: 2*x**2*(x + 1)*(5*x + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, r: 4, o: 2, z: 8}. Give prob of picking 1 o and 1 r.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3293198.369 to the nearest 10000.\nAnswer: 3290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**10\/100800 - s**8\/13440 + 79*s**5\/60 + 216*s**2. Let g(h) be the third derivative of l(h). Factor g(n).\nAnswer: 3*n**2*(n - 1)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119954671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 - 62*t - 53. What is the remainder when d(-29) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5\/5 + 6*f**4\/5 - 4*f**3\/5 - 12*f**2\/5 + 2*f\/5 + 6\/5 = 0. Calculate f.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*q + 2. Which is smaller: -4\/21 or q?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7*a**3 - a**2 - 3*a - 2. Let x be r(-1). Suppose x - 12 = -z. Solve -3 = -4*p + 3*v, 3*p = 4*p - 5*v - z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g + g**2 + 2215*g**4 + 2220*g**4 - 4448*g**4 + 3 in the form u*g**3 + n*g**2 + f + x*g + m*g**4 and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -1) + (12\/3 - 1). Suppose -4*b + 6*m - 2 = m, -4 = -4*b + a*m. Factor -6\/7*t + 4\/7 - 10\/7*t**b.\nAnswer: -2*(t + 1)*(5*t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82752 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: Two letters picked without replacement from xjxxjxxjjxxxxx. What is prob of picking 2 j?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 19974 = 2*u - 20000, -5*a + 62 = 8*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -340 by 5.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**4\/48 + p**3\/6 + p**2\/2 - 2*p - 2. Let t(q) be the first derivative of v(q). Solve t(a) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02333 - -0.12333. Suppose -l = 3*r - 180, -2*r - r + 2*l = -180. Let k be r\/(-27) + 2\/1. Which is the closest to g? (a) 5 (b) k (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.0575 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/3480 and -46\/19517.\nAnswer: 2342040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*j - 324, 0 = -4*j + 2*c - 0*c + 336. Suppose -3*l = -2*b - 24 - 30, -j = -5*l + b. Suppose -p = 5 - l. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5011752 divided by -8\nAnswer: 626469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2)\/(13 + (-5 - -1)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -441595, -441584, -441573, -441562?\nAnswer: -441551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 4*g - 2*g)*(24 + g**4 + 3 - 42).\nAnswer: 2*g**5 - 30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -14. Let q be (-35)\/(-75) - (-4)\/d. Let n = -13 - -8. What is the closest to -3\/4 in 0.3, n, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 - 1)*(94 + 4*l - 94) to the form y*l + f and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 14 = -42. Calculate the least common multiple of 2 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i - 2*u = 22*i - 157, 0 = -5*u + 10. Let g = -80 + i. Is g not equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 + 41?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/7528 and 91\/328.\nAnswer: 308648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-255)\/340*96\/36.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -22. Suppose 0 = -o + 3*o - k. What is the remainder when (-4)\/14 + 186\/14 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.69 - -0.03. Let o = -0.16 - l. Which is the closest to -0.4? (a) 0 (b) o (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1563 - 1635.04. Let d = 70 + b. What is d rounded to one decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 662 = 4*v + 638 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 24*h + 50. Let g be l(-22). Let i be (-2)\/(-6) + 1 + g\/9. Let k(j) = j**3 - j**2 + 2*j - 2. Give k(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12 - 3672)\/(-12)*3. Solve 913*r = u*r + 64 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/16 and 151\/3636.\nAnswer: 14544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*f**5\/2 + 15165*f**4 - 925068*f**3 + 13107672*f**2 + 18728280*f + 6382800 = 0. What is f?\nAnswer: -1182, -2\/3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -97*x**2 + 1472*x - 3705. Give l(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.4, 117, -3 in descending order.\nAnswer: 117, 1, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.151969 and 530.151?\nAnswer: 529.999031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, 4, 0.9, 2\/7, -1, 0.073?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -156*w - 2. What is the hundreds digit of l(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 160*s**2 + 159*s**2 - 358*s**2 + (4*s - 4*s - 2*s)*(-2 + 2 + 2*s) + 2*s**2 - 2 + 2 + (-2 + 3 + 1)*(-s + 4*s + s)*(1 - 2*s - 1).\nAnswer: -57*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9502926539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -50 - 176*x + 166 - 51 - 65. Let u(m) = -2*m + 15. Calculate u(j(n)).\nAnswer: 352*n + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smswvwwvywov. What is prob of sequence mvs?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -850920, -1701828, -2552726, -3403614, -4254492, -5105360, -5956218?\n\"Answer: 5*a**2 - 850923*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455 + 4235 + 107 = 13*z - 312*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v - 5*v + v)*(619 - 666 + 928) to p*v + u and give p.\nAnswer: -4405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*n**2 + 5*n.\nAnswer: -5*n*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 20 = 3*z. Suppose a - z = -0. Solve 5*b - 16 - a = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1003 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 17 = 2. Suppose 6 + 3*o**2 + i*o**2 - 6 + 4*o**3 + 4*o = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19737 and 1247817.\nAnswer: 2193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1\/5, 2\/9, 2\/43 in increasing order.\nAnswer: 2\/43, 1\/5, 2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1848 + 3?\nAnswer: -1845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 12 = 16*y. Suppose y*u - 230 = 2*k, 26 = u + k - 33. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 642777686*v**4 + 20591483*v**2 + 3.\nAnswer: 15426664464*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/1113 and -94\/9855.\nAnswer: 3656205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**2 + 36*k - 63. Let y(p) = -3*p**2 - 19*p + 31. Let t(n) = -2*f(n) - 5*y(n). Is 9 a factor of t(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378195.3mm in meters?\nAnswer: 378.1953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i - 8. Let g(b) = 2*b - 4. Give 13*g(a) - 6*r(a).\nAnswer: 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*r, -u = -2*r + 5*r - 9. Suppose -x + u*x = 2. Suppose -2*a = 3*q + 1, -5*q + x = -0*q + 2*a. Solve 4*h + 2*z = 7*z, -3*h - q = -4*z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 208, 267, 342, 439, 564, 723?\nAnswer: 922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 85*s**2 - 94*s**2 + 0 - 2*s as h + b*s + c*s**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**2 + 213772*b - 38178152 = 0 for b.\nAnswer: -53621, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*n = 5760 - 16502, 5*d - 17920 = 5*n. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**4*w + 18*a**3 - a**2*w**2 + 9*w**2 + 2*w wrt a.\nAnswer: -4*a**3*w + 54*a**2 - 2*a*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (319 + -334 - (-54)\/2) + 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 21*y - 16. Let h be g(-14). Let i = 205 - h. Let w(c) = -c**3 - 7*c**2 + 259*c + 12. Calculate the remainder when i is divided by w(-20).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g - 3 = -5*r, -2*g = -6. Let t = -6.6 + -0.9. Let p = -8 - t. What is the biggest value in 4, r, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 298, 575, 842, 1105, 1370, 1643?\n\"Answer: a**3 - 11*a**2 + 303*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2242 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(833))**2 + -2*sqrt(272) + ((sqrt(119) - 2*sqrt(119))*-3 - sqrt(119))\/sqrt(7) + 5 + -6*2*sqrt(1700)*-2.\nAnswer: 234*sqrt(17) + 3337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -246137, -491433, -736727, -982019?\nAnswer: -1227309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*237769.\nAnswer: -5230918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47482274 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.8, -1.52, -0.3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 12 - 1 - 2*j - 6*j**4 + 8*j**3 - 5 as m + n*j**4 + v*j**2 + c*j**3 + b*j and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 327 (base 10) to base 6.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 2*i**2 - 2*i**2)*(2*i + 0*i - i)*(-4*i**2 + 2*i**2 + 5*i**2 + (i**2 - 5*i**2 + 2*i**2)*(-1 + 5 - 11)).\nAnswer: -51*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 + 0.11. Which is the nearest to 0.2? (a) -7 (b) -2\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 56, 46, -1?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3531\/13 at least as big as -271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6171777, 12343553, 18515329, 24687105, 30858881, 37030657?\nAnswer: 43202433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/32 and -69\/14.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 4*p**2 + 6*p - 7. Let q be i(5). Let n = q - -5. Let d = 18 - 14. Solve 6 = 5*f + 2*a, -n*a + 9 = f - d*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 24, 42, 74, 126, 204, 314, 462?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2377*q + 78107. Give t(-33).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 13, n: 5}. Give prob of sequence nn.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371*w - 378*w + 238 = 0. Suppose w*a = 31*a + 108. Suppose -5*k = 4*n - 22, k + 0*k = 2*n - 18. What is the remainder when a is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 3. Let v(q) = 14*q - 11. Let x be v(-6). Let b = x + 99. Put 0, b, w in ascending order.\nAnswer: 0, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*o - 27*o = -800 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -8*o**3 + 6*o**2 - 6*o + 3. Let y be (-315)\/42*4\/5. Let l(s) = -s**3 + s**2 - s. Determine y*l(m) + x(m).\nAnswer: -2*m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 73, -157, 0 in descending order.\nAnswer: 73, 0, -5, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n - n + 3*n)*(-1 - 1 + 3 + 6 + 1 - 5 + (-6 + 4 + 4)*(1 + 3 - 3) + 1 - 2 + 3 + (-1 + 1 + 2)*(-3 + 1 + 4)) as g + j*n and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4161 - -17.4161. Put f, -0.1, -1, 2, 0.3 in decreasing order.\nAnswer: f, 2, 0.3, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 251086 + 4075. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.49 - 2.29. Suppose 0 = -2*m - 2*c - 24, -5*m + 2*m + c = 20. Let g = 12 + m. What is the nearest to a in -0.5, 3, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 3:39 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46 and 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1. Let c(j) = 459*j + 4. Calculate -c(y) + 5*s(y).\nAnswer: -459*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -141.110893 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.058152? (a) -22\/3 (b) 3 (c) -0.3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320 (base 8) to base 9.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-10)*15\/24*-5. Which is the fourth smallest value? (a) -2 (b) -5 (c) -0.17 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -d + 3*t, -4 = -d - 2*t - 0. Suppose -10 = 2*z, -d*n - z = z + 8. Let m(y) be the second derivative of -5*y**3\/3 + 155*y - 6. Give m(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 511*a**2 - 103*a**2 - 36*a**2.\nAnswer: 372*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 - 221?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 457 - -86. Suppose 0 = 4*g + 4*y - 4, 13*y - 6 = -2*g + 12*y. What is the remainder when n is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 8) + 11 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 672973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2\/13 - 678*h\/13 + 648 = 0. Calculate h.\nAnswer: -351, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42238.9 centuries to decades.\nAnswer: 422389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 1a1?\nAnswer: -1a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = g, -3*n + 19 = -g + 5*g. Let i(z) be the second derivative of z**3\/6 + z**2 + z. What is the units digit of i(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 56*h**2 - 117*h - 77. Is g(53) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3038.125 rounded to the nearest 10?\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*w - 12. Let g(m) = m**2 - 2*m + 2. Let q be g(w). Determine x, given that -2*x**2 - x + q - 4 - x**3 - 1 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(11\/2))\/x*x*x*x**(7\/2)\/x*x)**(-2\/3) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 119964 divided by 4\nAnswer: 29991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0948552*31.7.\nAnswer: -3.00690984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3285660639.\nAnswer: 3, 79, 271, 51157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3726 - -6*(10 - 9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 143 (b) -31 (c) 9.56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4200121 - 4200116.759451. Let u = k + -4.24. What is u rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 2*i + 0*i)*(0*i**2 - i**2 + 0*i**2 + (-i + 3*i + 0*i)*(-4*i + 0*i + 2*i)) + (0 + 2 - 5)*(5*i**3 + 0*i**3 + 12*i**3).\nAnswer: -36*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 407120*l**6 + 2*l**5 + 5*l**3 - 99814*l**2?\nAnswer: 48854400*l**3 + 120*l**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/6 - -1*3. Suppose 0 = -o*b + 8, -5*b + 6 = 3*u + 2. Let l be (u - -2) + (-5)\/10. Is -1 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135025 (base 11) to base 16\nAnswer: -33ac8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3\/5 - 4018*c**2 - 8398264*c\/5 - 8378176\/5 = 0. Calculate c.\nAnswer: -9608, -436, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 4*r + 44 - 84, 0 = -5*c + 3*r + 149. Let d = -52 - -83. Let t = c - d. Solve 4*v + 5 = -5*x, 0*v - 10 = 5*x + t*v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1754*t + 1286*t + 130674 = -868*t - 146794 for t.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21123201 - 11?\nAnswer: -21123212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1545, 182 in increasing order.\nAnswer: -1, 182, 1545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*n - l = -6, -n = 2*l - 3. Suppose -n*i - 7 = -19. Solve 0 = -v - 0*v - i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57361 - 214*u**2 + 57361)*(-9*u - 7*u - 4*u).\nAnswer: 4280*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44314971839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*z = 15. Is -6 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - -1*(-3 + sqrt(19))) + -4 + sqrt(19) + -1)*1.\nAnswer: -8 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 240 = -5*a, -a + 4*v = 2*a + 148. Let o = 68 + a. What is the remainder when o is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9910, -0.068, 2\/11 in decreasing order.\nAnswer: 2\/11, -0.068, -9910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-75 - -70) + -2*1 + 12. Suppose 0 = -3*s + 2*z + 10, -10*s = -o*s + 5*z. Suppose 0 + 5*l + 15\/2*l**3 + 25\/2*l**s = 0. What is l?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6393.2 to the nearest 100.\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 5. Let o = y + 4. Let i be (2 + 3\/(-6))\/(-3). What is the nearest to 0.1 in o, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 3:56 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -7. Let h(a) = -a**2 + 8*a + 1. Calculate the remainder when 23 is divided by h(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*u - 5, 5*u + 4*o = o + 10. Suppose u*f - 247 = 8. Suppose 14 - f = -5*a + 2*g, 0 = -3*g + 12. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 259\/(-37)) + (-152)\/6.\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5865*x - 134849. What is c(23)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 + 5*n + 4. What is the remainder when p(-4) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-2) + -6*(-184)\/12 is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36952*u**2 - 17598*u**2 - 17974*u**2 to the form p + v*u**2 + c*u and give v.\nAnswer: 1380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 8. Suppose 10 = -59*j + 64*j. Let z(a) = a + 9. What is j*z(f) - 3*x(f)?\nAnswer: -f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**2. Let o(b) be the first derivative of -54*b**2 + 394. Determine m(o(z)).\nAnswer: -34992*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (35\/((-2415)\/(-46)))\/(4*(-4)\/(-1464))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - (-13644)\/2727)\/(37\/12 - 4). Which is greater: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67542644231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 4304.\nAnswer: 1\/1076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/66734 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -139*j**3 - 2*j - 3685. Let t(u) = 6*u**2. Calculate f(t(c)).\nAnswer: -15012*c**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 1430*q**3 + 4244*q - 8976. What is the first derivative of o(b) wrt b?\nAnswer: 8580*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101111000001 - -1000110001?\nAnswer: 1010110111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3124 divided by 2?\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1446905 rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by 1?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**0)\/l)\/(l*l\/((l\/l**(-4))\/l)))**(2\/7)\/((l*l\/l**(-7))\/(l\/l**6)*l**0*l\/l**(-5\/3)) assuming l is positive.\nAnswer: l**(-338\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27057 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minus 17.844?\nAnswer: 2.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 11:37 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -61*z**2 + 3*z. Let l(t) = -548*t**2 + 28*t. Calculate 3*l(v) - 28*r(v).\nAnswer: 64*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.06 (c) 5 (d) 0.3 (e) -3 (f) 2\/405\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2120)\/440 + 2\/(-11). Suppose 2*k - 6 = -4. Sort k, q, 4.\nAnswer: q, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-1*(-2)\/(-14)). Let w be -2*2\/(-8) - 188\/(-8). Suppose t + 1 = -3*y, 5*y + w = t + 1. Which is smaller: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.824 to 0 decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*h - 9 = 0, 4*h + 6 = 2*u - 8. Suppose 1 = -u*i + 7. Solve -5*j + 3 = -2*g, 5*j - 3 + i = 4*g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -32. Let f(j) = 8*j**2 + 4*j + 1. Let d be f(r). Calculate the highest common divisor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33 or 30?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 + 63 = 7*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 124548 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 17 - 52 = 0. Let w(b) be the second derivative of -b**4\/4 - 3*b**2\/2 + 3*b. Let y(j) = j**2 + 1. Give n*y(p) - 2*w(p).\nAnswer: -p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 44. Suppose g - 258 = 4*g - 951. What is the highest common divisor of o and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*d - 113 - 120 = 0, 5*o - 1181 = 2*d. List the prime factors of o.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 216 - 220.9. What is c rounded to 1 decimal place?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1453675 rounded to the nearest one thousand?\nAnswer: -1454000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 16. Let a(y) = 7*y + 1. Let n be a(2). Suppose -5*s - 5*d - 6 = 4, -3*d + n = 0. What is the units digit of m(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*-1*-1 - (sqrt(190) + -3*-2*sqrt(190)))\/(sqrt(1000)*2*5*-6).\nAnswer: sqrt(19)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x = 3. Let z = 5 + x. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20*(171\/(-18))\/19\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -227 (b) -8663 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 2 - 1) + 40. Suppose 0*y = 3*y - 3*p - 42, 0 = -2*y - 3*p + i. Calculate the remainder when y is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 50613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*l - 54 - 194 = 0. Put -5, 6, 5, l in descending order.\nAnswer: 6, 5, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91852 is divided by 9178?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 45200 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 51\/85 + (-66)\/10 + 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3032944 at most as big as -3032949?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.19443931\nAnswer: -0.97219655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 1)*(133 - 62 + 90)*(0*t - t + 3*t + (-3 + 3 + 1)*(0 + t + 0) + t - 60 + 60 + (2 + 0 + 1)*(-t + 2 - 2)) as d*t + l and give d.\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-1785) + 2\/(-15) - 27734\/9622?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 - -1.05. Let z = v - 1.1. Which is the third biggest value? (a) -2 (b) z (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*p, 2*p + 11765 = -15*y + 16*y. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21150*s**5 - 12134*s**2 wrt s.\nAnswer: 1269000*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194409 is divided by 119?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -504 - -479. Let q = 361 - d. Is 23 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -349*r + 598*r**2 + 602*r**2 - 1 + 15*r**3 - r**4 - 1200*r**2 - 100*r wrt r.\nAnswer: -12*r**2 + 90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12 - (-920)\/75)*-5. Sort -4, 24, 3\/8, -1, b in ascending order.\nAnswer: -4, b, -1, 3\/8, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2 (c) -1 (d) 302.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 205628749?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3\/4 - 6135*g**2\/4 - 128841*g - 1134785 = 0. What is g?\nAnswer: -73, -10, 6218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxoqixxxkxkixxxx. Give prob of sequence xqo.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*d**3 - 1745903*d**2 + 76*d - 336331.\nAnswer: -78*d - 3491806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**7\/14 - 3*k**6\/5 - 39*k**5\/20 - 3*k**4 - 2*k**3 + 6*k. Factor c(u).\nAnswer: -3*u*(u + 1)**2*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*t = -24, i = -5*t + 3*t - 12. Let s be (2 + i)*(-6)\/4. Let j(c) = -c**2 - 2*c + 2. Let h(b) = -b**2 - b + 1. What is s*j(n) - 4*h(n)?\nAnswer: n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 5, -510619 in descending order.\nAnswer: 65, 5, -510619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fe81f + b?\nAnswer: -fe814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 493*n**2 - 983*n**2 + 487*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.55 + -988.45. Let v = 998.8 + d. What is the nearest to 5\/2 in 4, v, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c - 9. Let j be -88 + 96 + (1 - 1). Let b(i) = -i**2 + 9*i + 26. Let x be 51\/15 + 2\/(-5). Let w(o) = j*p(o) + x*b(o). Factor w(u).\nAnswer: -3*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 1, m: 1, h: 1, f: 2, u: 1}. What is prob of picking 1 w and 1 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 41133 (base 8) to base 15\nAnswer: 5077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 641.107 kilometers to centimeters.\nAnswer: 64110700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 9:17 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 5*x = 4*b + 140, b + 4*x - 78 - 49 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 11*v**2. Let u(m) = 13*m**2 - 7*m**2 - 8*m**2. Calculate u(a(y)).\nAnswer: -242*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 546685018?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24 + 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 7:18 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74.09 + 74.39. What is the biggest value in 0, 3\/7, 107, f?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 3*f + 4. Let d be p(-4). Let o = 31 - 30. Which is bigger: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 83353418, 166706835, 250060252, 333413669?\n\"Answer: 83353417*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 18 - 10 = b, -5*t - b - 6 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/26 + 4\/26. Factor 1\/4*b**3 + h*b**2 + 0 + 1\/4*b.\nAnswer: b*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1241 - 760 + 1519 = 250*w. Calculate the highest common factor of w and 2408.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134 divided by 24.\nAnswer: -67\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*s + 213*s = 184. Suppose 3*m - s = -19. What is the remainder when 20 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**4\/4 + 189*y**3\/2 + 4239*y**2\/4 + 3885*y + 4275 = 0.\nAnswer: -114, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.053 - 6833.\nAnswer: -6832.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-9))\/(210\/25*20\/(-108)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 25049.2356 and -228.\nAnswer: 24821.2356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 5*i**2 + i - 2. Suppose -15 = -l - 5*o, 4*l - 3*o - 10 = 4. Give b(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 691876297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 1793?\nAnswer: -358.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*b**2 - 16*b**2 + 5*b**3 + (-3 + 3 - 3*b**2)*(4*b - 2*b + b) + (-2*b + b - b)*(40*b - 23*b**2 - 40*b).\nAnswer: 42*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -21466.07806.\nAnswer: -21467.07806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 741776.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2213, 4409, 6605, 8801, 10997, 13193?\n\"Answer: 2196*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 - 50 + 94 + 391*v in the form x*v + m and give x.\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s. Let c(y) = 7*y + 30. Let d(r) = c(r) + v(r). Let o be d(-3). Calculate the greatest common factor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 3*c - 2. Let b be p(4). Suppose -13 = -2*k + h, -b*k + 35 = 2*k + h. Calculate the smallest common multiple of k and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**1*h**5*(h**(-6)*h)\/(h*(h\/(h*h**(2\/7)))\/h)*(h**(-2\/3)*h\/(h**(2\/21)*h*h)*h)\/(((h\/(h*h**(2\/5)))\/h)\/h)**40 assuming h is positive.\nAnswer: h**(2027\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from {f: 5, s: 1, v: 1, i: 7}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -4*a + 5, -44*a + l = -39*a - 28 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n - 222 = -7*n. Let t = -24 - n. What is the remainder when 35 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 299 + -292. Suppose 71 = -p*i - 153. Which is the nearest to 0? (a) 0 (b) i (c) 5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -597 - -597.0701. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 0 - (-10 - (-1 - 3)). Suppose 64 = k*z - 68. Does 22 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*s**4 + 3 + (-5*s + 5*s - s**4)*(7 + 4 + 1).\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 492735, 984131, 1475527?\n\"Answer: 491396*n + 1339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 199280929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2\/6 + 139460*r\/3 + 4278184 = 0?\nAnswer: -92, 279012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1350)\/(-2970)*(-1188)\/504.\nAnswer: -15\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 10094 = c + 6636, 3*m = -4*c + 12557. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*u - 146, -6*m + 5*m = 4*u + 42. Let a = 54 + m. Factor -5*x - 19*x**2 + 10*x**a + 9*x**2 + x**5 + 4*x**5.\nAnswer: 5*x*(x - 1)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 - 3*n**3 - 2*n**4 + (-n**2 + 0*n**2 - n**2)*(n - n + 2*n**2) + 14*n**4 + 2*n**3 - 4*n**4 - 11*n**4.\nAnswer: -7*n**4 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404936.2 weeks to hours.\nAnswer: 68029281.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y + y**2 - 1 - y**3 - 5*y - y**3. What is l(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/1980 and -49\/1320.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000161378085 to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 88.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 - a**2 + 4*a**2 + (1 - 2 + 0)*(-5*a + 3*a + 4*a)*(31 - 65*a - 31) - 3*a + 3*a + 2*a**2 + (a + 2*a - a)*(-a + 3*a + 0*a).\nAnswer: 138*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -1. Suppose 11 = 5*n + 26. Suppose 5 = 7*t - 12*t. Let f(z) = -4*z + 3. What is n*g(j) + t*f(j)?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(((-192)\/60)\/8).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by (7 - 47)\/10 - (-45 - (0 + -1)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -23*c**2 + c - 9. Let l(g) = 28*g**2 - 2*g + 8. Let k(z) = -5*l(z) - 6*m(z). Give k(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 11 - 87*c - 4 - 2 + 4.\nAnswer: -87*c + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 0 - 9)*(-2*m + m**2 + 2*m) in the form s*m + f*m**2 + n and give f.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-195)\/156)\/(1\/(-12))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -786, -779, -772, -765, -758?\nAnswer: -751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7095\/808 + 19\/202. What is the common denominator of 33\/2 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 67, 210, 447, 778, 1203, 1722?\n\"Answer: 47*n**2 + 2*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -10*a - 4. Let p be o(-8). Let z = -4 + p. What is the remainder when z is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1105?\nAnswer: -1\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 4, -3.\nAnswer: -3, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 52, 0.05, 2, -18, -58?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 2\/9 (c) 4 (d) -2 (e) 0 (f) -36081\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -2499 (c) -2 (d) 3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -759, -760, -761?\nAnswer: -762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 2123?\nAnswer: 9\/2123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -60, -41, 2, 75, 184, 335, 534, 787?\n\"Answer: g**3 + 6*g**2 - 6*g - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -2)*1\/1. Suppose 4*b**3 + z*b**4 - 9*b**4 + 3*b**4 + 0*b**3 = 0. Calculate b.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147866 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000110011001100001001 (base 2) in base 8?\nAnswer: 10631411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**2 + 119*u + 25. What is q(-29)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.35292881 rounded to 1 decimal place?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 2*t**2 + t + 159. What is c(0)?\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**7)\/k*(k\/k**9)\/k)**(-26\/3) assuming k is positive.\nAnswer: k**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 17361775 (base 8) to base 4\nAnswer: 33132033331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/144 and -125\/408?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*l**4 + 10*l**3 + 42*l**2 + 11*l + 5174 wrt l?\nAnswer: 288*l**2 + 60*l + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 8:33 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 76. Suppose -4*q - i = 3*q. What are the prime factors of (-44)\/q - (-6)\/30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 71*w**2 + 4*w + 233. Determine r(-71).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(-8 - 2 - 1)*(5*d + d - 3*d)*(7 + 1 + 2*d + 3) as f*d + m + h*d**2 and give f.\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w = 53821 + 41599. List the prime factors of w.\nAnswer: 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 41*b**9\/504 + b**7\/70 - 417*b**5\/10 + 4254*b**2. Find the third derivative of d(l) wrt l.\nAnswer: 4920*l**3 + 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 6*q**2 + 3*q + 5. Let z(i) = i + 4. Let y be z(-8). Is h(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**5 + 8*j**4 + 5*j**3 + 2*j**2 + 4*j - 4. Let h(u) = 14*u**5 + 23*u**4 + 15*u**3 + 6*u**2 + 11*u - 11. Let q(c) = -4*h(c) + 11*o(c). Factor q(r).\nAnswer: -r**2*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - -9. Let c = u + 732. Determine p so that 46*p - 5 - c*p**2 - 7 + 761*p**2 = 0.\nAnswer: 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567869.\nAnswer: 157, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r + 27*r**4 + 43*r**4 - 71*r**4 + 2 - 2*r**3 to q + s*r**3 + w*r + b*r**4 + g*r**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21359 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 75566441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 421914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4268544121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + ((-62488)\/(-36) - (-14)\/63).\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 2. Let p be k(7). Let j be 1\/3 + (-19)\/((-5586)\/28)*511. Sort j, p, -5.\nAnswer: -5, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4548*q - 4547*q + 2*y, 3*y + 822 = -91*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 5*w + 13 - 8, -5*w - 5 = 3*o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z + 4*z - 3*z + 1 + 2 - 2 - 2*z - z + 3*z + 0*z + (z + 2*z - 2*z)*(-8 + 3 + 3) + 2*z + z + 0*z as s*z + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-258888)\/(-3588) + 8\/(-52)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 343497940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 13 = -51*x + 46*x, -6*x - 3*c = 18 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 6)*(-31*v - 7*v - 6*v) + (-3 + 2 + 4)*(2*v - v + v).\nAnswer: 182*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 31*x - 948. Calculate n(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 5 - 2)*(2 - 3 + 3) - 1 + 0 - 2)*(472*d - 26*d**4 - 472*d) to f + j*d**2 + h*d**4 + t*d**3 + m*d and give h.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 0*j + 2*j)*(-2*j - 2 + 4*j + 3).\nAnswer: -4*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12377353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 55808b2?\nAnswer: 55808a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 - 65 = -3*n. Let s = -38904 - -506309\/13. Let a = n + s. What is the biggest value in 1\/4, a, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -12*d**2 - d - 1. Let o be g(5). Let f = -58 - o. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 76901179 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 6*o + 5. Let w be d(-5). Suppose 0 = -t - w*t + 2, 3*l - 45 = -3*t. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3685630*u**2 - 1842811*u**2 - 1842819*u**2 - 324*u**3.\nAnswer: -324*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -190, -12, -4 in increasing order.\nAnswer: -190, -12, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, c: 3, p: 5}. Give prob of sequence ccp.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*q - 6088 = 0, 3*u + 2*q - 4059 + 406 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/23)*j*j\/(j\/((j\/(j*j**(-2)))\/j*j)))\/(((((j\/(j*j\/(j**(-3\/8)*j*j*j)))\/j)\/j)\/j*j)\/(j\/j**(-1\/12))) assuming j is positive.\nAnswer: j**(3061\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 1. Let f(s) = 10*s + 5. Give f(c) - 5*m(c).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (-2)\/4 - (-204)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(1700)*-2.\nAnswer: -120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*2\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394982017?\nAnswer: 71, 5563127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 60433830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*f + 867275 = 149765 - 40650. Is f a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2. Let a be y(1). Suppose 4*z = -3*i + 4, -2*z - 3*z = -a*i + 49. Let d = -5 + 18. Calculate the least common multiple of i and d.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/427862?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -263 (base 10) to base 6\nAnswer: -1115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.14727224 to three decimal places.\nAnswer: -2.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 5:39 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 divide 1323012170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.23 + 0.1. Let w = x - -0.03. Which is smaller: 4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*d = -38, -35 = -8*v + 3*v - 5*d. Solve -4*q = 5*b - 30, 16*b = 19*b + q - v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*v = 6 - 18, -4*v = 12. Let f be b\/42*-4*14. Calculate the remainder when 31 is divided by ((-11)\/4)\/((-1)\/f).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*c = -51*c + 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - 1)\/(-4)*-7. Let j(x) = -b*x + 2*x + 2*x - 1. Let i(g) = -3*g - 1. Calculate 2*i(r) - 3*j(r).\nAnswer: 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6630?\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, 43\/5, 3.9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 334 + -10859a?\nAnswer: -108266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18486343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 11*f + 106. Suppose f = -2*r - 2, 7*r - 11 = -4*c + 2*r. Put -50, c, -4 in descending order.\nAnswer: c, -4, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.00099828 + -0.001. What is g rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 74*a**2 + 10*a - 389. Determine x(74).\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 230002221 (base 4) in base 14?\nAnswer: 49a53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (61801\/75236)\/(2 + 18\/(-8) + 12\/32)?\nAnswer: 46\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.69 - 0.21. Let c = 13 + l. Is 6 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 - s**3 + s**3 + (2*s - s - 2*s)*(0 + 0 + s**2) + 4060 - 4920*s**3 - 2045 - 2013 + s**2 + 2*s.\nAnswer: -4919*s**3 + s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 6*m + 2. Let i be k(-6). Suppose -4*n = 16, -i*a - 78 = -2*n - 2*n. Let p = a - -83. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 606916 and 162.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 126\/2780023?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 13) to base 2.\nAnswer: -101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 152 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -189620922 by -2.\nAnswer: 94810461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 450*b**4 + 1253 wrt b?\nAnswer: 1800*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 38 (b) -13 (c) -7 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(-39)))**(-6\/11) assuming r is positive.\nAnswer: r**(234\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(10\/7))**18 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k. Let b(r) = -898*r - 35*r**2 + 23*r**2 + 898*r. Calculate y(b(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -39. Suppose 0 = -4*g + 39 + 41. Suppose 16*m + g = 26*m. Solve c*i - 2*i = -m*o - 8, -o - 8 = 3*i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 854 + 267 + 81 = 252*t + 349*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 2. Let j(z) = -5*z + 9. Let a(d) = 2*j(d) + 9*y(d). Let l(c) = c**2 + 5*c - 2. Suppose 0 = -5*o + 30. Determine o*a(s) + l(s).\nAnswer: s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 8) in base 6?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.03 (b) -1\/4 (c) -197\/4008 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1882*h + 1852*h - 2748*h - 1187*h - 1255*h.\nAnswer: -5220*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -4*i + 4*x - 1, -i - 5*x - 19 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2131 is divided by 234.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 1 - -2) + (8 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glee when four letters picked without replacement from gglhehehheehelhlleg?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 5 (c) -0.3 (d) -3 (e) 3863 (f) -5 (g) 66\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162\/17*x**2 + 0 + 0*x + 98\/17*x**5 - 154\/17*x**4 - 90\/17*x**3 = 0. Calculate x.\nAnswer: -1, 0, 9\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*j**3 + 10*j**3 + 2*j**3)*(1 - 1 + 1 + (7 - 3 - 3)*(0 + 4 - 2) + 3 + 0 + 0 - 3 - 2 + 3).\nAnswer: 80*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46217 + -13171793\/285. Calculate the common denominator of 33\/304 and k.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630*z + 186*z = -5314680. Is 95 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from {w: 2, c: 9, x: 1, z: 2}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -20. Let u(d) be the second derivative of -3\/20*d**5 + 5*d + 0 + 1\/2*d**3 - 1\/4*d**4 + 1\/10*d**6 + g*d**2. Factor u(m).\nAnswer: 3*m*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13152)\/(-73980))\/((-2)\/(-9))*2\/(-4)*-3\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 + 2*b**2 - b + 4. Let l be 8\/36 - (-2)\/(-9). Suppose -n - 3 = -l*n. Is i(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68136961 is divided by 50?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48 - 4*b**2 + 2*b + 2*b**4 + 37 + 2*b**3 + 13 to m + s*b**3 + q*b**2 + g*b**4 + y*b and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2363210.\nAnswer: 2, 5, 29, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 3:08 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 7:29 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4086 - 1009 + 1273 = -159*y + 2220 for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/6 + (-2)\/4. Let k = q + 13. Let c = 59 - k. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2436\/96 + -25 - (-6)\/16?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -28*t**2. Let j be 21\/(-14) - (-30)\/20. Let o(z) be the second derivative of 1\/6*z**4 + j*z**3 + 0 + 0*z**2 - 15*z. Determine o(n(m)).\nAnswer: 1568*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 3*q = -9, 3*y - q = 12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - a + 1. Let p(i) = -30*i**3 + 2*i**2 - i + 6. Calculate -p(w) + 3*q(w).\nAnswer: 30*w**3 + w**2 - 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**45*((v\/((v\/(v\/(v**(-2\/5)\/v))*v*v)\/v))\/v)**38 assuming v is positive.\nAnswer: v**(-149\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 6*m**2 + 5*m - 19. What is w(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.075981 + -7.\nAnswer: -23.075981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 19 - 7 = 0. Is 6 a factor of (38\/(-152))\/(1\/(-1066 + h))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*c - 403*c = -2*l + 10, 0 = 19*c + l - 41 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*14.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 188855 divided by 37771\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3600) - (-4*sqrt(3600) + sqrt(3600)))\/sqrt(4))\/((sqrt(45)\/sqrt(5))\/sqrt(3)*-6)*5.\nAnswer: -100*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*(((1 + sqrt(98) + 5)**2 + -2*(sqrt(98) + 0) - (sqrt(98) + 2*(sqrt(98) + -1) - (5*(-1 + sqrt(98)) + sqrt(98)))**2) + 4).\nAnswer: -757 + 196*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**2 - 19*n - 2. Calculate v(3).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*u - l, 5*l = 2*l - 12. Let k = u - 1. Suppose -y + 4*y = -9. Which is the third biggest value? (a) y (b) k (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-3\/17)\/v*v*v))\/v**(14\/5))\/(v**(-1\/2)\/v)**2 assuming v is positive.\nAnswer: v**(-53\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0275 and -0.3467?\nAnswer: 0.00953425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1364009 = -4*d - 3*x, 4*x - 787486 = 2*d - 105498. What is the hundreds digit of d\/(-836) - (-4)\/38?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*r + 50*r + 12. Let l = -0.05 - -3.05. Sort 0, -0.5, r, l in increasing order.\nAnswer: -0.5, 0, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 41\/40?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-13))\/((-5268)\/(-51363)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1331394, -1331391, -1331388, -1331385, -1331382?\n\"Answer: 3*w - 1331397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 11*z**2 - 2*z - 25. What is the units digit of k(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 - 3 = 0. Suppose g + 5 = 5*d. Suppose -1 + d = a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -692170*q + 496249 with respect to q.\nAnswer: -692170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**2 + 17*k - 2. Suppose -258*c - 12*c = 203*c - 1419. Let y(n) = 7*n**2 + 34*n - 3. Give c*y(w) - 5*h(w).\nAnswer: w**2 + 17*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1137967954.48209 and 0?\nAnswer: 1137967954.48209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 38346 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 2\/3, -32?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 + 0. Let n = -12.582 + 11.4754. Let c = n + u. Round c to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15258.\nAnswer: 2, 3, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 111, 109, 107, 105?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 156930359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -178, -264, -348, -430?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 4\/9*j**3 - 16\/3*j + 2*j**2 - 8. Factor k(w).\nAnswer: 4*(w - 1)*(w + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 698639 * 0.1.\nAnswer: 69863.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**5\/60 - k**3\/6 + 117*k**2. Let r(u) = -3*u**2 - u - 5. Give -r(w) + 5*x(w).\nAnswer: -2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11947, 23887, 35827, 47767?\n\"Answer: 11940*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -530? (a) -26\/3 (b) -4 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.9, -1\/7, -3, 1\/3, -17\/4534?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 + 13*g**2 - 28*g**2 + g**2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 7:00 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -134 + 128. Which is the closest to -3\/4? (a) 5 (b) 4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1024.77 * -1.511\nAnswer: 1548.42747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/(sqrt(8)\/(sqrt(12)\/sqrt(3))))\/((sqrt(9)*1)\/sqrt(3) + (sqrt(108) - sqrt(108)*-1)))**2.\nAnswer: 5\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -760 + 957 = -197*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 16 - 1 = 5*c, -2*m = 8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 - 35*h**2 + 411*h + 7289. What is n(-17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, x: 1, y: 2, i: 1, j: 1, q: 3}. What is prob of sequence rj?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2289?\nAnswer: 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from ookkkkokkok.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 533634623, 533634624, 533634625?\nAnswer: 533634626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.9 + -35057.79.\nAnswer: -35053.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 8 = 5*f. Let s(h) = 3*h**3 + 3*h**2 - 4*h + 2. Let o(a) = -4*a**3 - 4*a**2 + 5*a - 3. Calculate f*s(k) + 4*o(k).\nAnswer: -k**3 - k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(3*a + 4*a - 4*a) + a + a + 0*a + a - 3*a + a + 0*a - 6*a + 3*a + (2*a - 2*a + a)*(-2 + 0 + 3) + 2*a + 4*a + 3*a.\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 74 = -5*h, 6 = -q + 4. Let w(z) = -3*z + 27. Give w(h).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -129 - -194. What are the prime factors of r?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*k**2 + 2*k + 31*k**2 + 32*k**2 - k**2 - 3*k**2 + 7*k**2 + (-k - 2*k + 2*k)*(3*k - k + 0*k) - 2*k**2 + 0*k**2 - k**2.\nAnswer: 41*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + j = -l + 4, 16 = 2*l + 4*j. Suppose l*b - 2*b = -4. List the prime factors of (3 - (-3 - -2))*b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -4. Suppose -2*l - 2*v - 18 = -7*v, d*l = 3*v - 7. Solve -l = -z - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-156)\/20 + 2 - (-3)\/(-15). Let m(y) = -y - 8. Calculate m(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rz when two letters picked without replacement from {r: 2, j: 1, y: 1, z: 1, l: 1, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 479*l**2 - 1. Let b be v(-1). Let h = b + -243. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m**(2\/3)))**(-13)*(m\/(m\/(m**(-1\/5)*m)))\/(m*m**2*m))\/((m*m*m**(-2\/9)*m*m)**(3\/29))**30 assuming m is positive.\nAnswer: m**(-8377\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 4)*(0*z**2 - z**2 + 3*z**2) + 3*z**2 - z**2 - z**2 - 2*z**2 - 44*z - 11*z + 24*z in the form u + g*z**2 + p*z and give p.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -5, 3, 4\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59.5 + -59.499968032. What is j rounded to 6 dps?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*x + 167 - 101 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*d**2 + 2*d**2 - 3*d**2 + (-3 + 3 + 2)*(-3*d**2 + 6*d**2 - d**2) - 4*d**2 - 6*d**2 + 4*d**2 to t + y*d**2 + u*d and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 + 2121.9.\nAnswer: 2121.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 303 + -299 - (1 + -30 - (8 + -11))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, 4, 1, 3, 6, 13 in descending order.\nAnswer: 13, 6, 4, 3, 1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47580.\nAnswer: 2, 3, 5, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - -18. Suppose 0 = -6*v + p - 32. Solve -2*c + 1 = -v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + g + 2*g**4 + 3*g**4 + 4*g**2 - 4*g**2 + (11*g**3 + 22 - 22)*(-g + 2*g - 2*g) + 5*g**4 - 3*g**4 - 17*g**4.\nAnswer: -21*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.8, -2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -9*u**2 - 3*u - 160. Let x(r) = 28*r**2 + 10*r + 481. Let t(k) = 10*b(k) + 3*x(k). Find the first derivative of t(p) wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*c**2 + 76*c**2 - 35*c**2.\nAnswer: 101*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 7*h - 13. Let j(i) = -i**2 + 3*i + 1. Let y = -3 + 1. Let o be j(y). Let b be a(o). Solve 3*n = b*n + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p**3 + 4*p**2 + 6*p. Let a be 1705\/62 - 24 - (0 - (-1)\/(-2)). Let r(g) = 5*g**3 + 4*g**2 + 7*g. What is a*r(s) - 5*v(s)?\nAnswer: -5*s**3 - 4*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 + 5 - 5 + (s - s - 2*s)*(909*s + 358*s - 368*s).\nAnswer: -1796*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(2\/(-4))\/((-5829)\/348)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*sqrt(2736) + 1)**2 + -2 - ((sqrt(76)*2)**2 + sqrt(19)*3 + 4)*-1.\nAnswer: -21*sqrt(19) + 3043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i**3 + 33 + 0*i**2 - 35 + 4*i**2 - 2*i. Let n be t(2). Let h = 52 - n. Solve h*r - 12 = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 214, 805, 1796, 3193, 5002?\n\"Answer: d**3 + 194*d**2 + 2*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5894735? (a) 1 (b) -2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 15, -2*p - p = -5*r + 6. Suppose -4*c + c = a + 3, -4*c + r*a = -9. Suppose c = 4*i + 20, 0*u - u + 20 = -i. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 7*k - 9. Let x be q(6). Calculate the lowest common multiple of (-6 - -3)\/(x\/16) and 2*(-7)\/(-5)*5.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27218389*m**2*t**3 - 3*m**2 - 2*m*t**3 - m - 9669284 with respect to t.\nAnswer: -81655167*m**2*t**2 - 6*m*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/22 and 81\/154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7)*q*q*q*q**(-2\/15)*q*q**(-3\/4)\/q*q\/(q*q*q\/(q*q\/(q**7\/q)*q*q)))\/(q*q**9\/q*q*q*q**(-9))**22 assuming q is positive.\nAnswer: q**(-19391\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (28 - (7 - -6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 4*t**2 - 5*t + 7. Let g = 5 - 5. Suppose g*s - 4*s = 20. Give i(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*s = -60*s - q - 69, 139 = 4*s - q. Solve 38 = -z + s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 55. Let v be g(0). Let o = v + 83. Solve 2*k - 14 = -5*j, 2*j + 5 - o = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 26. Let w = 59845749.0000028 + -59845736. Let i = t + w. Round i to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 10060?\nAnswer: 10060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7096440 divided by 120.\nAnswer: 59137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-42)\/46) + 3. Which is the second biggest value? (a) -0.4 (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.04 (c) 2\/7 (d) -2\/5 (e) -3\/127 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3683242774?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 3:09 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -56 + 106 + 56 + -104. Solve 4 + 0*y - 1\/4*y**g = 0.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2074 + 2084. What is the remainder when f is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2006 = 6*g - 34. Suppose 3*x - 273 = -2*z, -5*z + g = -5*x - 405. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from ueuuuuuxeeexxuxuuee.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.11 (b) 0.2 (c) 0 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0327 - -0.4777. Let n = 23.045 + -23. Let c = v - n. Is c != 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 52159 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -208*h**3*j**2*n - 14*h**3*j + h**2*j*n + 8*h*j*n**2 + 3*j**2*n**3 + 2*j*n**3 wrt j?\nAnswer: -416*h**3*n + 6*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42600 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + -1)**2*-6 + (2 + (sqrt(432) - 2*sqrt(432)) - sqrt(432)).\nAnswer: -2596 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/10 - (-34)\/10. Let l = -626.2 - -626. Let o be 1\/2 + 6\/(-20). What is the closest to l in o, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*i + 123 = 370, 0 = -2*r + 3*i + 217. Let b = r - 60. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40157478?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -182 + 182. Sort o, -3, -6 in descending order.\nAnswer: o, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)\/sqrt(20))\/((sqrt(500) + (sqrt(500) - sqrt(500)*2) - sqrt(500)) + 5*sqrt(15)\/sqrt(3)))**2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/95, 0.025, 3?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 0)*(3 - 3 + 1)*(-5*v**4 + 433*v**3 - 1636*v**3 + 820*v**3) in the form r*v**3 + o*v**2 + j*v + n*v**4 + a and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 47, -2\/9 in descending order.\nAnswer: 47, -2\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*240\/(-2016)*39\/5.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 94162 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 10 = 2*r, 3*d - 6 = 10*r - 8*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.093 * -0.73.\nAnswer: -0.06789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 240 + -234. Suppose -4*p - u = 2*n + p, 3*n - 4*p = 14. Solve n*s - 5*s + 17 = -2*a, 3*a - 5*s + 27 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, g: 5, n: 5}. Give prob of sequence nnn.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206 = -24*r + 8*r - 18 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k**2 + 47*k - 57. Calculate s(-11).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4*j = -10, -3*j - 14 = -5*k - 39 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and (0 + 15)\/5 - -9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18920 by 5.\nAnswer: -3784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -616*d**2 - 1398*d + 4. Determine j(-2).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38689865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 1 + (-15 - -52) + -40 + 51?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 15241.\nAnswer: 15240.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 5, 0.5, 4, -44, 7, -622\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 5*k + 136 = 0, -4*p + 13199*k - 13196*k = -74 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from {i: 15, f: 4}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from {i: 2, q: 2, m: 6, d: 1, z: 1, b: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 132 + 132 - 15*r**3)*((1 - 2 + 3)*(-2*r + 0*r + r) - 18*r + 147 - 147).\nAnswer: 300*r**4 + 40*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 47, 119, 267, 515, 887, 1407?\nAnswer: 2099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/18)\/(26*3\/18)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -129771*y + 143772 wrt y?\nAnswer: -129771","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 99, 3, 0.4, -41\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528362638.\nAnswer: 2, 264181319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j\/j**(1\/4)*j))\/j)\/j)**5\/((j**(-5)*j)\/j*j**(-3)))\/((j*j**2)**13*(j\/(j\/j**9))\/j*j**(-3)) assuming j is positive.\nAnswer: j**(-199\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 92? (a) 12\/11 (b) 0.2 (c) 1\/4 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 51052088.\nAnswer: 51052088.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11580 and 5404.\nAnswer: 81060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 3140\/4841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/37 in -3, -2\/9, -1\/5, 7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-12 - 4)) + (-17 - (1 + -18))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 + 16*c - 43. Give a(8).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4071 - -0.5141. Let v = -196.907 + 197. Let u = h + v. What is the biggest value in 0.1, u, -8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/27 + -47\/189. Sort -0.2, 13, 1\/3, i.\nAnswer: i, -0.2, 1\/3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 a, and 1 x when three letters picked without replacement from {a: 3, x: 5, t: 3}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*h**4 - 2*h + 9*h**4 + 2*h**4 + 8*h wrt h?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10\/38417 - -76884\/192085. Suppose m + b + 1\/5*b**3 + 4\/5*b**2 = 0. What is b?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 191*p**2 - 9*p - 63. Let o be c(-12). What is the highest common factor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1257 + -98?\nAnswer: -12ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*-5.9\nAnswer: 0.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 6*a - 16. Let d be q(-8). What is the nearest to d in -4, -0.066, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5\/42 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 7. Suppose 2*q - 130 = -3*q. Calculate the remainder when q is divided by r\/(-6)*(-2 - -44).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/(-135)*(-8)\/4*1. Let a(m) = m**3 - 5*m**2 + 6*m - 6. Let c be a(4). Determine k, given that -2\/9 - 2\/9*k**c - p*k = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 8*a**2 + 9*a + 1. What are the prime factors of k(4)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292418402 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 9:05 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 0, -5, 3 in ascending order.\nAnswer: -5, -4, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.72308232 rounded to one dp?\nAnswer: 14.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*d**3 + 75*d**3 + 49602 - 49602.\nAnswer: 261*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1188 (b) 3\/7 (c) -4 (d) 0.97 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -39*m**2 + 11*m - 12. Let g(u) = -118*u**2 + 31*u - 34. What is -6*g(s) + 17*w(s)?\nAnswer: 45*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - -1210003?\nAnswer: 1203331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -4, -19892268 in increasing order.\nAnswer: -19892268, -4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13123203 + 230?\nAnswer: 13123433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + -4 + (-213)\/69. Let i = -261 + 257. Which is the nearest to -1? (a) z (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 82, -1 in ascending order.\nAnswer: -2, -1, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2030 divide 32882785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(704))**2 + sqrt(66)\/sqrt(6)*4.\nAnswer: -28*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 6*j. Let v be -3 + 6 + 10\/(-2). Let d(q) be the second derivative of -q**3\/3 + q**2\/2 + q. Let h be d(v). Determine u(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 582*o**3 - o - 121 wrt o?\nAnswer: 1746*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73038462787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p - 5*p - 9*p + p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086374280 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17083 divided by 1?\nAnswer: 17083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 10*z**2 - 9*z + 4. Let d be n(-9). Solve x + 16 = -d*h, -4*x + 2*h = -0*x - 26 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2648, 2477, 7580, 12649, 17672, 22637?\nAnswer: 27532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 111*c - 69*c = 43*c + 7, 4 = -2*c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = -2*h + 7*h. What is the highest common factor of 30 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*h - 13*h - 12*h + 41*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/13 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4 - -4) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(152)\/sqrt(32) + 4.\nAnswer: -5*sqrt(19)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 3*o**2 + 1. Let m be s(5). Suppose -1185*n + 440 = -1177*n. Suppose m*x - n*x = -60. Calculate the highest common factor of 75 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 2180?\nAnswer: 10900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*y = 0. Solve 5*g = -y*g + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a**3 + 1872938*a**2 - 1728890*a - 144074 = 0 for a.\nAnswer: -72037, -1\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -z. Suppose z = -a + 53 + 19. What is the greatest common factor of a and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -724, -1293, -1862, -2431, -3000, -3569?\n\"Answer: -569*h - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -188357 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2973 - -1999. Let r = o - -1716. Suppose 0 = 2*u - 16 - r. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**3 + 7*h**2 - h - 9. Let f(m) = m**3 - 4*m**2. Let w(z) = -2*f(z) - r(z). What is w(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9694, 9644, 9580, 9496, 9386?\n\"Answer: -a**3 - a**2 - 40*a + 9736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-675781.9.\nAnswer: 67578.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3865?\nAnswer: 5, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1564 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + -4 - 3) + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1229471681?\nAnswer: 197, 6240973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 512781435 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 644.6019 litres in millilitres?\nAnswer: 644601.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18917, -37809, -56697, -75581?\nAnswer: -94461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -165 + 164. Let v = 1\/9 - 0. Is v less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 444 + -884. Find the common denominator of -17\/32 and 4686\/s - (-2)\/5.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 4*h + 6. Determine g(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 140.27.\nAnswer: 139.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 48932.\nAnswer: 146796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/14)\/(1\/(-7) + 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/96176 and 45\/3221896.\nAnswer: 6443792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76774836 + 76774836 - 12796*d)*(0*d + d + 0*d).\nAnswer: -12796*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and 3860?\nAnswer: 42460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2560204910?\nAnswer: 2, 5, 359, 713149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q + 4. Let i be k(-3). Let m(y) = -y**3 - 11*y**2 + 6. What is the lowest common multiple of 14 and m(i)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 96\/(-18))*-6 + -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 + 28*z**3 - 30*z + 0*z**2 + 399 - 201 - 198.\nAnswer: 28*z**3 + 4*z**2 - 30*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 9 = -4*x. Suppose 0*k = 2*k + x*y - 7, -4*k = -3*y - 23. Let j = 0 + 0.2. Which is the third biggest value? (a) j (b) k (c) -0.1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 + 39 - (1584 + -1590)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -38. Let v = 7.3 - 7. What is the second biggest value in v, w, 2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/8 - 81\/8.\nAnswer: (k - 9)*(k + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54604 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 4) to base 13.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11356107 times 0.9\nAnswer: -10220496.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 122.3, -4, -3\/19, 0 in decreasing order.\nAnswer: 122.3, 0, -3\/19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 432\/3840*-5*48.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 70406\/(-30174)*(-6)\/973?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791 is divided by 757?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 16. Suppose a + 23 = n - 2*a, -2*n - a = -f. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -10101101100?\nAnswer: -10101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 121*q**2 + q + 10. Let m be t(9). Suppose -2*j - l + 2276 + 1653 = 0, -5*j + m = 3*l. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/20 - 13\/(-2). Suppose 0 = -d*x + 9 - 4. Does 24 divide -6*x*(2 + -14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2))**(-26)\/((r**(-5)\/r)\/r*(r\/(r**(-2)*r))\/r))\/(((r*r*(r*r**6)\/r*r*r)\/r**(2\/3))\/(r**4*r**(-6\/11))) assuming r is positive.\nAnswer: r**(433\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 44671178921758 and 4.\nAnswer: 44671178921762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 52744, 105895, 159456, 213427, 267808?\n\"Answer: 205*r**2 + 52536*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185669 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2)*-3*-2 + -2)**2*-3.\nAnswer: -768 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -z + 46, -3 - 3 = 3*r. Let y = z - 38. Suppose -2*m + 220 = 3*c, y*m = m - 4*c - 121. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 90\/(-3)*10\/(-12). Solve -5*d + z = 6*q - q, 0 = -d + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49182 is divided by 42265?\nAnswer: 6917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3 + 1 + z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -73816, -73811, -73804, -73795, -73784, -73771, -73756?\n\"Answer: g**2 + 2*g - 73819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/5, -1.8, 1.375, -3\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -747411*z**3 + z**2 + 9780*z + 24?\nAnswer: -4484466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 6.2, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1410.9 + 1424.9. Which is the third smallest value? (a) -50 (b) -2 (c) -3 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 2*o**2 + 3*o)*(27*o**3 - 69*o + 69*o) + (2*o + 5 - 5)*(37*o**4 - 16*o**4 + 11*o**4).\nAnswer: 10*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2371 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1878)\/(-9))\/(4\/6) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 422077*l**3*w**3 - 8*l**3*w + l*w**3 + 1242271*w**3 wrt l.\nAnswer: 2532462*l*w**3 - 48*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329*x**3 - 56*x**3 + 4 - 10*x**3 + x**2 + 4.\nAnswer: 263*x**3 + x**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/27*144\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 18597581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000073704 rounded to 6 dps?\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -190 - -188. Let k = 0.34 + -0.04. Which is the nearest to i? (a) k (b) 3 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 27*y - 26*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 9\/1856717 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -362 - -367. Suppose -b*j - 22563 + 83278 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236979 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 131957, 131821, 131689, 131561?\n\"Answer: 2*q**2 - 142*q + 132097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 11 = -4*i, 14*y - 19*y + 10 = 5*i. Is i greater than or equal to -1\/273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -0.3, 6.368 in ascending order.\nAnswer: -0.3, -0.02, 6.368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 188224*a**4 - 652*a**3 + 1126550*a**2 - 89.\nAnswer: 4517376*a - 3912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*(195\/(-90))\/(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4\/7 - 4352*w**3\/7 + 8718*w**2\/7 + 13068*w\/7 = 0. Calculate w.\nAnswer: -2178, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-760)\/1140*105\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55792543.\nAnswer: 43, 1297501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2\/8 - 1439*a\/4 + 1437 = 0 for a.\nAnswer: 4, 2874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26572503.\nAnswer: 3, 8857501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359527411?\nAnswer: 359527411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 500 or 20505\/41?\nAnswer: 500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 122\/10 - (-4)\/(-20). Let x(y) be the third derivative of -y**5\/60 + 13*y**4\/24 - 5*y**3\/3 - y**2. What is the units digit of x(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.72701 * 0.2\nAnswer: 0.745402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 128.78 - 2.78. Let q = n - 125.999898. What is q rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in -23, -1, -7.2, -5, 5\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31*40\/3720)\/((5\/81)\/(-5)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 273\/(-20)*30*5\/350 and 38*2\/16*-5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 102587529, 102587530, 102587531, 102587532, 102587533, 102587534?\n\"Answer: y + 102587528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6518411, 13036833, 19555265, 26073707?\n\"Answer: 5*t**2 + 6518407*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 107124096 and 107124102 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - n + 16, 0 = 14*m - 9*m + 2*n + 23 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 374600.\nAnswer: 1123800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 261 + 36. Let n = f + -195. Does 13 divide -4*(-1)\/4 + 1 + n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 134 = -36*r, 28*q + 4*r = 30*q + 26 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/28 - (-188891)\/(-1380). Let y = w - 62\/115. Let b = y - -139. Sort b, 3\/5, 0.4 in increasing order.\nAnswer: 0.4, 3\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3021023 (base 4) to base 12.\nAnswer: -754b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*g + 287*g - 54*g = 6272 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.578128 litres to millilitres.\nAnswer: 2578.128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-282)\/4)\/(-5 + (-51)\/(-12)). Suppose 2*c = -10, -3*c + 29 = -3*h - g. Let w = h + 71. What is the remainder when w is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1324, 1641, 1018, -545?\nAnswer: -3048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -336, -1, -2 in ascending order.\nAnswer: -336, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -11 + 11 + 49 + v - 2*v. Let g(s) = -2*s + 50. Let x(z) = 2*g(z) - 3*l(z). What is the first derivative of x(b) wrt b?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g - 4067 - 1783 = -28*g. Solve -394 = r - g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -57192.867 + 0.27?\nAnswer: -57192.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/6)\/(3\/(-18)). Let p be 2\/(-1)*2\/(-4). What is the units digit of 6\/b + p\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 59078*t + 4732640. Give f(80).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/2*(0 + -15 + (-122220)\/(-8400))?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8256073963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1278 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3\/7, 4\/21, -5, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-738)\/(-24)*(-12)\/72 and 49\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from mgmggmgmggmm?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-14))\/(30\/200)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, 1\/12, 5, -1, -23 in descending order.\nAnswer: 5, 1\/12, -1, -5, -9, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5\/11 - 108*r**4\/11 + 3522*r**3\/11 + 129652*r**2\/11 + 103704*r\/11 - 68400 = 0. What is r?\nAnswer: -66, -25, -3, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -33. What is the nearest to u in -0.1, -1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-2 + sqrt(35)\/(sqrt(21)\/sqrt(3)))**2 - sqrt(10)\/(sqrt(8)\/sqrt(4)*-1 - sqrt(2) - sqrt(2))).\nAnswer: -11*sqrt(5)\/3 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27974458 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13603786541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x**3 + 5*x**2 - 4*x - 4. Let q(z) = z**3 - 2*z**2 + 3*z + 1. Let g(r) = -f(r) - 2*q(r). Calculate g(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.59032 litres in millilitres?\nAnswer: 77590.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4048 divided by 2?\nAnswer: -2024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390966349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-5 + 1)) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6 = 3. Suppose -6 = a + 2*h, -m*a + h + 1 = -2. Solve -3*f = -4*v - 31, -f + 9 = -a*v - v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 30. Suppose 2*j = 4*h - 300000, h + 3*h + 450000 = -b*j. What is j rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -65 + 37. What is the hundreds digit of 264 - (16\/f + (-30)\/105)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2219 + 17123.3.\nAnswer: 17123.5219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -654, -988, -1308, -1608, -1882?\nAnswer: -2124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 148543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 10*i**3 + 4364*i**2 - 143*i - 13. Let b(t) = 3*t**3 + 1455*t**2 - 44*t - 4. Determine 13*b(g) - 4*r(g).\nAnswer: -g**3 + 1459*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 19 - 7. Let d(t) = t + 1. Let x(h) = 8*h + 2. Let p(n) = i*d(n) - 3*x(n). Is 11 a factor of p(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*j + 3*j. What is the remainder when 11 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1713\/2 - -857. What is b in 6 - 7\/2*b + n*b**2 = 0?\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - j = -4*j - 6, 4*m + 16 = 2*j. Let p be m\/21*(-4)\/(-8). Let w(o) = -61*o - 58. Let u be w(-1). What is the nearest to u in p, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 8*a**2\/9 - 12171146*a + 27385078\/9 = 0?\nAnswer: 1\/4, 13692539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 529561280.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 681, 683, 687, 693, 701, 711?\n\"Answer: x**2 - x + 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31563 + -31559. Sort 5, y, -11\/3, -7, 2\/19 in increasing order.\nAnswer: -7, -11\/3, 2\/19, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-2)*(-212)\/(-106)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5 + 92*l + 20*l**2 - 92*l - 5. Let o(b) = -5*b**2 - 6*b. Let w(j) = -14*j**2 - 17*j. Let k(s) = -17*o(s) + 6*w(s). Determine d(k(y)).\nAnswer: 20*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - o**2. Let x(g) = 8*g**3 - 2*g**2 + 3*g. Let l(n) = 2*q(n) - x(n). What is the second derivative of l(f) wrt f?\nAnswer: -36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3330 - -3342. What is the smallest common multiple of 74 and l?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 74\/5 of a century?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 9:48 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a minute in milliseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w**2 - 5*w**3 + 7*w**2)*(-2*w + 1 - 1 + (0*w - 4*w + 3*w)*(-1 + 0 + 3)).\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-6)*2)\/(66\/198)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.03 (b) -1\/3 (c) -6 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -102122222?\nAnswer: -102122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 + -3 + (3 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -1 - (-5 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c + 689?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 5 - (-14 + 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, i: 2, a: 2}. What is prob of sequence iaw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26758*f**2 + 26764*f**2 - 48*f**4 + 35*f**4 - 2*f + (-f**2 - 5*f + 5*f)*(-2*f**2 + 2*f**2 + f**2).\nAnswer: -14*f**4 + 6*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29\/6 + -14\/3. What is the third biggest value in 12, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1195649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -10676587.9 to the nearest one thousand.\nAnswer: -10677000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*j + 3*j - 2*j)*(2*j - j + 2*j) - 4*j**2 + 2*j**2 + j**2)*(-2 + 2 - 3*j).\nAnswer: -42*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4671 - 10 = -2*r + 5*o, 0 = 5*r - 3*o - 11674. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/4 + 39\/(-12). Let b be v*(2 + (-45)\/24). Sort 0, b, -2 in decreasing order.\nAnswer: 0, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4 - 0) + -2)\/(-773 + 788)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 27*v + 3316*v**4 + 2 - 1655*v**4 - 1654*v**4 to u*v**3 + y*v + a*v**2 + t + s*v**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9030313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 9*s**2 - 14*s - 10. Suppose -2*f - 28 = -8. List the prime factors of o(f).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**3 - 2*b**2 + 377*b - 11. Let f(v) = 11*v**3 + 7*v**2 - 1381*v + 41. Let w(o) = -37*a(o) - 10*f(o). Give w(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 1189 = -710. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 96, 156, 240, 348?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.2 + 1.2. Let p = 2 + v. Which is the closest to 1? (a) -3 (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*k = 253, 2*z = 4*k - 2*k + 190. Let y = z + -78. Solve -d + 4*r = y, 9 = 3*r - 0*r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 452624180?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, n: 1, o: 2, x: 1, r: 7}. What is prob of sequence no?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -111829 less than -54.6?\nAnswer: 111774.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132888716 or 132888718?\nAnswer: 132888716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/1427 + 92759\/5708. Let v = j + -16. Which is the third smallest value? (a) v (b) -2\/11 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*z + i + 468, 3*z + 4*i - 32 + 188 = 0. What is the nearest to -2\/7 in 0.9, 1\/6, z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/7 + 33774\/546.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7974030*d**3 + 80*d**4 - 1135 + 63*d**4 - 7974031*d**3 + 31*d**4 with respect to d.\nAnswer: 696*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 963 - -6421. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 64*b**2 - 11517*b - 567. What is v(180)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 10*w**2 + 50130*w + 449634. Determine h(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.328*24\nAnswer: 7.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15 (b) -17 (c) 0.07 (d) -0.5 (e) -0.097\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -k + 11. Let v = k + 10. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 81*x - 36. Let z = -314 - -320. What are the prime factors of u(z)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 - (-7 + 80) - 54?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 1:45 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 663*o**4 - 3*o + 5*o + 522*o**4 + 15 wrt o.\nAnswer: 14220*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186052740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*f + 38490 = 0, -10*f = -3*n - 5*f + 57767. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 32 = -f, -f + 3*f + 22 = 4*r. Let k(z) = 12*z - 1. Let p be k(3). What is the greatest common factor of r and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.2 (b) 194\/5 (c) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + -17.5. Let j = 56.9 - d. Let l = j + -25. Round l to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + i + d + 20 = 6*d, -14*i = -2*d + 116 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + (-3 - (-3)\/3). Suppose 3*t = -0 - r. What is the units digit of (t\/(-6) - -1)*6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 4*a - 2. Let n be x(1). Let q = -28 + 29. What is the nearest to q in -1\/5, n, 0.14?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.22 + 2.22. Let i = 0.82 - 1.22. Which is the fourth smallest value? (a) g (b) i (c) 4 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3 - 93*j**2 + 1449*j - 5243 = 0. What is j?\nAnswer: -107, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1056500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 50540.6862 rounded to the nearest one hundred?\nAnswer: 50500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.924464 months to decades.\nAnswer: 0.0660372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, h: 4, c: 1}. Give prob of sequence chtt.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + m = 19, -6*d + 23 = -3*d + 5*m for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 divided by -5.\nAnswer: -107\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 16 = 2*p + 3*n, -2*n + 19 = 5*p. Solve 2*v = 4*t + 10, -1 = -p*v + 3*t + t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*g - 51 + 65 = 0, g = 2*n - 14. Let h(k) = -13*k**2 + 7*k - 6. Let r(v) = 13*v**2 - 8*v + 7. What is n*h(y) + 6*r(y)?\nAnswer: -13*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -412870, -414488, -417186, -420964, -425822?\nAnswer: -431760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 5:59 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (427\/(-5124))\/((1071\/(-441))\/(1\/(7\/(-6))))?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 8*z**4\/3 + 96892*z**3 - 96893*z**2\/2 + 36335*z\/6 = 0.\nAnswer: -36335, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a**3 - 6*a**2 + 5*a - 12. Let n(p) = -22*p**3 + 24*p**2 - 18*p + 48. Let t(y) = -2*n(y) - 9*v(y). What is t(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 495 - 197800105?\nAnswer: -197799610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*y**2 + 3*y**2 - 24*y**2 + (-1 - 1 + 10)*(3*y**2 + 2 - 2) - 5 + 7*y**2 + 5 as z + g*y**2 + l*y and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43*q**2 + 11*q**2 - 14*q**2)*(-2*q + 0*q + q) to the form n*q + p*q**3 + w*q**2 + t and give p.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 5*u**2 + 3*u + 11. Let r be p(-5). Let x = 84 - 89. Which is the nearest to 0.1? (a) r (b) x (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 + 440*n - 8049. What is m(-126)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, -3, 10\/17, -3\/20, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/7119 and -29\/202383.\nAnswer: 1416681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 3*j - 3*j)*(j - 1 + 1) - j - 3*j**2 + j + 49*j**2 + 353*j**2 - 18*j**2.\nAnswer: 379*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 5. Suppose 3*j - 3 = 6. Suppose 0*p + j*p = 0. Give a(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29485 is divided by 105.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**7\/147 + 2*k**6\/105 + k**5\/70 - k**4\/21 - 2*k. Solve n(q) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 2\/3, -18541994, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -171\/572 + -23\/5148. Calculate the common denominator of f and 98\/44 + 0\/1.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2753 by -70.\nAnswer: -2753\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92517392 is divided by 179.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 7*k - 37 = 0. Suppose -5*c - k + 6 = -3*f, -4*f = 3*c - 22. Suppose 28 = -0*u + f*u. Solve 2*a + 17 = -5*o, -2*a + 2*o + 2 = -u*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 661 by 1.\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/72*-6*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*r - 3240, 4*h = 4*r - 1298 - 1298. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3022, -12062, -27136, -48250, -75410, -108622, -147892, -193226?\nAnswer: -244630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 12, b: 7}. What is prob of sequence bb?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62084398 is divided by 700?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqw when three letters picked without replacement from wwwwwwqwqww?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-10)*((-9)\/2 - -2). Suppose -3 - 3 = -n*k. Suppose -x - 4*v - 42 = -0*x, -k*x + 3*v - 141 = 0. Is -46 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/3 - 424*y - 1270\/3.\nAnswer: -2*(y + 1)*(y + 635)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010011100000 (base 2) to base 6.\nAnswer: -40424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -13. Let n(d) be the first derivative of -3 - 7\/9*d**3 + b*d - 1\/3*d**2 + 7\/15*d**5 + 1\/6*d**4. Find c, given that n(c) = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-17)\/(-6) + 2\/12. Suppose z*b = -2*w + 12, 3*w + 12 = 7*w. Solve 0 = u - 1, -2*u + 1 = -b*x - u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2819640728 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1100) + sqrt(1100) + 0)**2 - sqrt(1100)) - sqrt(1100).\nAnswer: -4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-3)*34\/(-306)*-9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -317, -597, -877, -1157, -1437?\n\"Answer: -280*c - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5603 or 12796?\nAnswer: 12796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 48 + 4. Suppose -2*i - 22 + z = 0. Let g(c) = -c**3 - c. Let t(f) = f**3 + 8*f**2 - 5*f + 5. Let d(l) = i*g(l) + t(l). What is d(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -5 (c) 1\/5 (d) 0.4 (e) -110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -432 + 439 + 0 + -23 + 2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395908543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(143)*3 - (sqrt(143) - (sqrt(143)*-1 + sqrt(143)))*5)*2)\/(sqrt(396)*1*4 - (sqrt(11) - (sqrt(704) + sqrt(704)*2) - sqrt(11))*6).\nAnswer: -17*sqrt(13)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (0 - -8)) + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 11:12 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26653 is divided by 653?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + 5*c**2 + 0*c**2)*(9*c**3 - 114 + 0*c**3 + 112) - c**5 - c**5 + 0*c**5.\nAnswer: 7*c**5 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -184 + 46?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6448162277.\nAnswer: 71, 90819187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(7) + -2*sqrt(7)) + (sqrt(228)*-3)\/sqrt(12).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39845*d*w**2 - 187*d*w - 21498*d + 11891*w**2 - 4*w + 2 wrt w?\nAnswer: 79690*d + 23782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2647*k**2 + 2*k**3 + 2647*k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2154545 - 11769310\nAnswer: -13923855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -699 - -1013. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**2 + 5*r**2 - 4*r**2 - 5*r**2. Let d(c) be the first derivative of -c**2\/2 + 3. What is o(d(f))?\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32f + 11a9?\nAnswer: e7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8704 and 51000.\nAnswer: 3264000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 + 10*a + 16. Let l be v(6). Solve l*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**5\/6 - 23*c**4\/48 + c**3\/4 + 31*c**2 - 5*c. Factor s(v).\nAnswer: (v - 1)*(20*v - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 17 = 5*l - 7*s, 0 = 5*l - 2*s - 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2363457*u**3 - 8516086*u.\nAnswer: 14180742*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 10142.47 to the nearest 10.\nAnswer: 10140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a = 25*a - 20. Suppose -f - 642 = -4*d, 0 = -2*f + a*f + 6. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 0 + (-10 - -8).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-40)\/(-2286)))\/((-102510)\/56950)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 967378724 by -37206874.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q - 2. Let j be n(-2). Suppose 10 = -7*x + j*x. Let g be 6*(x - (-21)\/9). Solve g = v + y, -2*v - 8*y - 2 = -4*y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - 13*p**2 + 113127*p**3 + 4*p**2 - 113124*p**3.\nAnswer: 3*p**3 - 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385931529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13236500 (base 7) to base 12.\nAnswer: -4a9962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxxxfxxxxxf.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 7*z**2 + 10*z.\nAnswer: z*(z - 5)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q + 27*q = 12. Suppose 4*h = 3*t - h - 325, q*h + 333 = 3*t. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b - 3df?\nAnswer: -3d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llnqlnnqnnqnn. Give prob of sequence qqq.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*-1 - sqrt(20) - sqrt(20)) + (sqrt(5) - (-1*sqrt(5) + sqrt(5))) + -5 + sqrt(5).\nAnswer: -4*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -37. Suppose j*q - 23 = -5*o, -q = 4*o + 3*q - 28. Suppose -4*a = -o*s - 1796, -5*a = -6*s + 2*s - 2245. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**5\/3 + 52*l**4 - 1012*l**3 - 464*l**2\/3 + 2938*l + 2028 = 0.\nAnswer: -1, 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b - 8. Let x be c(-2). Suppose 64 = 2*w + 4*z, 25 - 77 = -w + x*z. Calculate the remainder when w is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) - (sqrt(637) - sqrt(637)*4 - sqrt(637)))**2 + (-5*sqrt(1872))**2)*-3.\nAnswer: -188175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 844*m - 63942 = -106142 for m.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -109744 divided by 27436?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b - 8*b - 7*b + 19*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, j: 4, v: 1, t: 4, x: 2}. Give prob of sequence jxt.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * -1242206.7\nAnswer: 49688.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 153\/(-2856)*((-8)\/6)\/(11\/33)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(30\/25*(-85)\/(-136)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.482444 grams in tonnes?\nAnswer: 0.000001482444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4584*a - 5116*a + 1105800 = 0 for a.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.27691075 to 4 dps.\nAnswer: -0.2769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*v + 5010 = -5636 + 946. What is the remainder when v is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 22*f + 97. Let y = -111 - -77. What is the tens digit of b(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.2795768mg?\nAnswer: 279.5768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*r**3 - 466 + 0*r**3 + 2270*r**4 - 1131*r**4 - 5*r**3 with respect to r.\nAnswer: 4556*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 332 or 1656\/5?\nAnswer: 332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -76 - -5?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -6. Suppose j = -28 + y. Let f = 57 + j. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -690 divided by -345.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5687264689?\nAnswer: 5687264689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22041 + 10?\nAnswer: -22031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4 + 3\/6. Which is greater: u or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323439 is divided by 286.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 2*v + 22, 0 = -2*q + 4*v + 10 + 10. Suppose -52 = 5*y - q*c + 4*c, 5*y = -2*c - 68. Let f(z) = -z**2 - 12*z + 30. Is f(y) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*v, 4*q - 2*v = 3*v - 35. Let d be 1\/((-5)\/2)*q. Suppose 5*o - 298 = 3*r, -5*o + d*r + 63 = -4*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -15. Let m be (0 - -2)\/(a\/(-12)). Suppose -m*v + 229 = -67. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21766, -21848, -21984, -22174, -22418, -22716, -23068?\n\"Answer: -27*p**2 - p - 21738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) -14 (b) 72\/11 (c) 138 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-10)))**(1\/10) assuming f is positive.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424690161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 11 + 3)*(5 + 4*a - 2 - 1) to b*a + v and give b.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12972570)\/(-288405) + 1 + -46.\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-786)\/(-35632)*80\/(-60).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(-12)\/8 + (-4)\/(-1). Suppose -b*w = -4*w - 480. Calculate the greatest common divisor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-11)\/2740 - 31\/310)*(-5)\/(-15). Is 0 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673610 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473 is divided by 557\/5 + (-672)\/1680?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -11. Solve 1 + 4 = -r*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -56.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*(sqrt(28) + 1)**2.\nAnswer: -348 - 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 6 = -a. Suppose a + 37 = 6*v. What is the remainder when 24 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*p = -285, 4*c - 2*p - 204 = -4*p. Let b = -55 + c. Let f(y) = -y**3 - 2*y**2 - y. Let z be f(b). Solve z*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18357 and 17091?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 + -18. Let c = -13 + i. Factor c*z**3 - 10*z**2 - 5*z**5 + 0*z**3 + 3*z**3.\nAnswer: -5*z**2*(z - 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11c - -158?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.87 * -0.1\nAnswer: -0.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (4\/17)\/(633\/39457)*(-45)\/12\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5998 = 3*t, -k - 51*t + 56*t + 2973 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 12*k - 1. Let n(w) be the second derivative of w**3\/6 + w. What is 22*n(l) - 2*q(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 4:18 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, d: 4, c: 1, a: 6}. What is prob of picking 2 a and 2 d?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -551 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - ((-17545)\/(-209))\/29. Which is the second smallest value? (a) 0 (b) 3 (c) -2\/13 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -577\/50325 - 1\/1525. Let m = t - 157\/660. What is the closest to -0.2 in -3, m, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, t: 1, s: 1, w: 1, c: 1, z: 1}. Give prob of picking 1 t and 1 n.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -292 + 413. Suppose 4*u + o - 4*o = z, -4*u + 2*o = -122. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -410*c - 4*c**4 + 3*c**4 + 28475*c**2 - 28476*c**2 to u*c**4 + w + n*c + l*c**3 + t*c**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -958277 and 0.39?\nAnswer: 958277.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 89*h**2 + 233*h - 279. Let v be w(-91). Round v to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 226173?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1462 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 14. Let i = -0.15 + -9.85. Let j = i - -16. Which is bigger: j or u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-2)*(-24)\/(-20). Suppose -t - 15 = -2*j + 5*g, j - 12 = g. Let c be (-30)\/(-16)*j\/35. Is c less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 934 - 239. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 668968.6 years to centuries.\nAnswer: 6689.686","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -57. Suppose o*q - 10*q + 294 = 0. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15168*n**2*r**2 - 31*n**2 + 13*n with respect to r.\nAnswer: 30336*n**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 0 + 0*b**3 + b**2 + 0*b - 1\/12*b**4. Let p(l) = -10*l. Calculate p(q(x)).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11 - 451*s**3 - s - 25*s**5 + 235*s**3 + 27*s**5 wrt s?\nAnswer: 40*s**3 - 1296*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11099\/58 + -190. Find the common denominator of 2 + ((-102)\/(-16) - (16 + -15)) and t.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.007 - -27.993. Let g = 27.999935 - a. Let u = g - 0. What is u rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31571 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/12)\/((-12)\/234). Suppose 3 = 4*k - d. Solve -3*s - 3*z = 21, 0*s + z + 19 = -k*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4 - 2. Let x = 3 + o. Suppose 14*n = 11*n. Solve -2*m = -n + x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39762 is divided by 313?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 3882*d - 2157584.\nAnswer: 2*(d - 451)*(d + 2392)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10287 - -10538. What is the remainder when w is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -106*d**5\/5 + 7*d + 197. Find the first derivative of s(y) wrt y.\nAnswer: -424*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13942, 1, 2, 6 in increasing order.\nAnswer: -13942, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9777994 rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 5 + 6*r + 30 - 6.\nAnswer: 6*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 995754089.\nAnswer: 11, 53, 1707983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2\/17, 0.22, -13\/10, 1\/7?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 - 64. Let v = 137 - 83. Suppose 53 = -z + v. Solve -k = -5*h + z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*z**5 + 2885*z**4 + 6820*z**3 + 3825*z**2 + 180*z = 0. Calculate z.\nAnswer: -1, -3\/58, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)*2)\/sqrt(8).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 921 + -581. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6432 (base 9) in base 14?\nAnswer: -1a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14928301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iifiiiiiipiii?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50 - 24 - 5179*t**2 + t + 5189*t**2 to h + v*t + a*t**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -128935*-0.508\nAnswer: 65498.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - v + 4)*(1 - 9 - 2).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1729416?\nAnswer: 2, 3, 13, 23, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -284.62 rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -6*f + 1900. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*y - 8851 = -z - 34*y, -8893 = -z - 3*y. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -840 by 105.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-3) + (4\/2 - 8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 60*x - 9\/2*x**2 - 1\/2*x**3 + 64 = 0.\nAnswer: -16, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a - 6. Let x be o(7). Let v = -12 + x. Let i = 208 - 210. Sort v, 1, i.\nAnswer: i, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18793515.47659 and 49.1.\nAnswer: -18793466.37659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 250743 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 29 - 28, 0 = 4*v + 5*q - 11. Let h(r) be the third derivative of 20*r**2 - 1\/3*r**3 - 1\/24*r**v + 0*r + 0. Give h(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -1696*g + 11877. Let a be n(7). Put 39, 3, -14, -4, a in decreasing order.\nAnswer: 39, a, 3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.1924663 rounded to 3 decimal places?\nAnswer: 14.192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-980)\/(-1)*-3)\/(150\/(-200)).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 10520200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -6) + -229 - -2. Let m = z - -407. Let j = -101 + m. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.273 in 0, -2, -5, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/25 - 510\/(-120).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-1 - -3) - -3 - (-25985 + 26106).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11688154.\nAnswer: 2, 19, 307583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/((-5)\/((-700)\/14)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 4 = 3*y. Suppose -y*m + 8*m + 60 = 0. Let h be 3\/m - 34\/(-8). Solve -b + 0*b = -h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 146 - 76 = -4*c - 110, -10*d + 80 = -3*c for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u**2 + u. Let i be g(-1). Suppose -3*l + 6*d + 9 = 2*d, -2 = -l + d. Which is the smallest value? (a) 3 (b) l (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -17, -2 in decreasing order.\nAnswer: 3, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 <= 527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 538902796 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 2*l + 2. What is g(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 a factor of 2140011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6 + z + 3*z**2 - 2*z**3 - 3*z**2 + z**3 - 7*z**2. Let l be d(-7). Let t = 1.1 + -0.1. Which is the second smallest value? (a) t (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56 - 602236?\nAnswer: -602150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 2) + (-9 - -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16515133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1679 times -218?\nAnswer: 366022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -3) + 3 + (4 - 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 8*y**2 - 19*y + 89. Let b be d(7). Suppose -3*l + 10298 + 2165 = t, 0 = 5*t + b*l - 62275. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.521 + -14.3. Let f = 0.079 + o. Sort 2, 1, -5, f in decreasing order.\nAnswer: 2, 1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ddccdkccecd?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15*3 + 9 + -12 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 10\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2995823 - -1728823. What is w rounded to the nearest ten thousand?\nAnswer: -1270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in -1623, 11, 1, -1\/39, -2, 2?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.018 in -768, -0.3, 6, -2, 0.7, 0.9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 4, 3 in descending order.\nAnswer: 4, 3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38.8 + -40.8. Let y = -8 - -7.9. Which is the nearest to 0? (a) 1\/6 (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 9*r + 1. Let i be k(-1). Let v(z) be the third derivative of -z**5\/60 - 19*z**4\/24 - z**3\/3 - z**2 - 19*z. Does 18 divide v(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 342 and 1254.\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 876 and 880964.\nAnswer: 2642892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32568777*k**4 - 144*k**2 + 38547 wrt k.\nAnswer: 781650648*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538840?\nAnswer: 2, 5, 19, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -3*x - 3*a - 23, 3 = a for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -10*c**3 + 470*c**2 - 6*c + 74. Let o(q) = 5*q**3 - 235*q**2 + 3*q - 39. Let p(m) = 6*d(m) + 11*o(m). What is the second derivative of p(b) wrt b?\nAnswer: -30*b + 470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (52 + -39)*1\/(-4). Are i and -1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*a**2 + 401*a + 58*a**2 - 32*a**2.\nAnswer: -3*a**2 + 401*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfnf. Give prob of sequence fnf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c. Let r(k) = 3*k. Let a(x) = -6*x. Let z(j) = 3*a(j) + 5*r(j). What is z(n(u))?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4053676 divided by -80\nAnswer: -1013419\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from pfipiti?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*w**2 - 9*w**2 - 13*w**5 + (0*w**5 + w**5 + w**5)*(3 + 3 - 5).\nAnswer: -11*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, f: 1, p: 4, y: 2, u: 2}. What is prob of picking 3 p and 1 f?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 161036 divided by 4\nAnswer: 40259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 50 = -5*c, -l - 2*l + 5*c + 100 = 0. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 3*z + 38. Suppose 22*r = z*r + 24. Let h(g) be the first derivative of -g**3\/3 + 3*g**2 + g - 35. Calculate h(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9056860*a**3 - 20321740*a wrt a.\nAnswer: 54341160*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 13. Suppose -z + 4*f = -0*f - 24, -h*f = -4*z + 109. Factor 4*m**4 + z*m**3 - 18*m**2 + 14*m**2 - 28*m**2.\nAnswer: 4*m**2*(m - 1)*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 477406148 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: Determine r, given that 174050*r**3\/7 + 699740*r**2\/7 + 14178*r\/7 + 72\/7 = 0.\nAnswer: -4, -3\/295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + (sqrt(475) - (-2*sqrt(475) + sqrt(475))) + 2 - (sqrt(475) - -1*(sqrt(475) + 1*sqrt(475)))) + -3 + 2*sqrt(475)*4 + sqrt(475) + -4)**2*2.\nAnswer: -900*sqrt(19) + 77000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100111000010011111010 + 11?\nAnswer: -10100111000010011110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 c when four letters picked without replacement from feefzececf?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 3*u**2 - 3. Let t be k(3). Let d be 1\/(10\/4 + t). Let x be (4\/d + 2)\/(-2). Solve 1 = -w - x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -203*f - 253*f - 137*f + (4 - 2 - 1)*(f + 0*f - 3*f) + 2*f - 3*f + 0*f.\nAnswer: -596*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 2:34 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + h. Let k be y(0). Suppose k = 3*r - 6*r. Suppose -2*q + 2 = -r*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 766757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 4:24 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*q - 127 = -446, -q = -4*b + 263. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**6\/96 - r**5\/80 - 4*r**3\/3 + 4. Let p(o) be the third derivative of v(o). Suppose p(g) = 0. What is g?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 10*j**2 - j - 7. Let t be y(-10). Suppose -k + 5*p = -17 - 2, t*p + 42 = 4*k. Solve 0 = -4*r + 1 - k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-40)\/60)\/(4\/18). What is the third smallest value in b, 2\/3, 0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/66*-1*(-18)\/(-15)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2\/11 - 9538636*s\/11 - 11373197092562\/11 = 0. Calculate s.\nAnswer: -2384659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 10 = 0, -53*q + 54*q = -5*j + 28 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 25, -3*q + g - 2*g = 1. Let u = q + 2. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 16966140?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.2 and -7.\nAnswer: 29.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1171 (base 14) to base 11.\nAnswer: -2313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 63\/2*m**2 + 48 - 2\/3*m**3 + 1\/4*m**4 + 0*m. Find the second derivative of p(h) wrt h.\nAnswer: 6*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 16 = -64. Let k be 0 + 66\/6 - (-2)\/8. Is k greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/2 + (-5)\/10. Let c be 1\/1*35\/u. Suppose -v + 3*x - 6 = -54, 0 = -c*v + 5*x + 270. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*5\/(-60))\/(5\/40)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75720 - -210294. Let z = a + -221874. What is z rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0879 + 0.9121. Which is the closest to 0? (a) o (b) 14 (c) 4\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -205, -777, -1781, -3205, -5037, -7265, -9877?\n\"Answer: 2*y**3 - 228*y**2 + 98*y - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -0.1 (c) -2\/11 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 10 = -4*y, 0 = 2*v - y + 6*y + 6. Suppose 0 = 5*w + l - 117, l = -4*w - v*l + 87. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a decade?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4\/3 + 74*i**3\/15 + 148*i**2\/15 + 16*i\/5 = 0. Calculate i.\nAnswer: -4, -3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -551, -4420, -14923, -35378, -69103, -119416?\n\"Answer: -553*o**3 + o**2 - o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/8 - -1\/24. Let u be 7 + -11 - (-14)\/4. What is the closest to u in 2\/3, -0.06, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -49 in 1, -0.1, 74, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002816118684 rounded to seven dps?\nAnswer: 0.0028161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 143 - 332 = 0. What is the closest to 0.1 in v, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(4\/2))\/1*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 334*a + 15560. Give q(-56).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4768390, 4768393, 4768396?\n\"Answer: 3*n + 4768387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -55 (b) 22 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*g - 94 = -0*x, 4*x - 172 = 2*g. Calculate the remainder when x is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from jjmjphmhmmmhpjj.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - -0.2. Let m = 1853 + -1854. What is the closest to m in a, 6, 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1379 or 4?\nAnswer: -1379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187, -1195, -3033, -5695, -9175, -13467?\nAnswer: -18565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 98*w**2 - 49*w**2 - 47*w**2 + w + (-4 + 10*w**2 + 4)*(1 + 1 + 1).\nAnswer: 32*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*v - 4*z, -5*v + 2 = z - 4. Solve 0 = 3*y - 10 - v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.81041 rounded to 1 decimal place?\nAnswer: -25.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-97)\/291)\/(1\/(-3)). Sort 0, 4, 5, -37, k in descending order.\nAnswer: 5, 4, k, 0, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40739802.\nAnswer: 2, 3, 6789967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(96))\/((1*sqrt(72))\/sqrt(6) + sqrt(12) + sqrt(24)\/(sqrt(6)\/sqrt(3))).\nAnswer: 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1031101011 (base 4) to base 13\nAnswer: -b1090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2477790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 + z**4 - 24*z + 0*z**3 + 22*z + 2*z**3 in the form d*z**3 + a*z**2 + m*z + c + f*z**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15285 (base 9) to base 7.\nAnswer: 42311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19655239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27718 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 5*g**2 + 6*g - 9. Let n be r(3). What are the prime factors of (-2*3\/n)\/(2\/1617)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 96 = 4*p, 0 = -4*p + h - 3*h + 68. Suppose 16*i - 6*i + 10 = 0. Let c = i + p. What is the smallest common multiple of c and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - m**2 - 3*m**3 + (-m**2 + m - m)*(-m + 0*m + 2*m) - 2129 - 1771*m**3 + 2129.\nAnswer: -1775*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2 = -c - 5*o, o = c - 4. What is the derivative of -1 - q**c - q**2 - q**2 wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69107 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 256814, 513637, 770460?\nAnswer: 1027283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (0 - 11 - -3). Let d = f - 0. Let a = d + 13. Solve -g = g - a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79962299 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0091505 to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4103 (base 16) to base 5\nAnswer: -1013033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**14\/l*l**(-8))\/((l\/(l*l**(1\/2)))\/(l\/(((l**(-1)*l)\/l)\/l)*l)) assuming l is positive.\nAnswer: l**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p**2 + 4*p - 4. Let o(h) = -11*h**2 - 9*h + 9. What is -2*o(z) - 5*y(z)?\nAnswer: -3*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-11 - 1 - (40 + -45))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1650 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r**5 + 208*r**4 + 3901*r**3\/3 + 3557*r**2 + 4200*r + 1764 = 0. Calculate r.\nAnswer: -6, -3, -7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1653 and 96?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.696295 to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (28 - (-4 - -2)) + 0. Let x be 2 + (-48)\/p + 17\/(-30). Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1848\/395 > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 781 and 14058?\nAnswer: 14058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52*i**3 + 26*i**2 - 1729*i + 31456083 wrt i?\nAnswer: -156*i**2 + 52*i - 1729","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2131449 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*a + 88 = -20 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 6:00 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -16. Factor -x + 4*l**2 - 2*l**2 - 4*l + 2.\nAnswer: 2*l*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4456 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v. Let p(c) = -3100*c - 54. Let a(k) = 765699*k + 13365. Let s(l) = -2*a(l) - 495*p(l). Calculate i(s(x)).\nAnswer: -15510*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 691338706?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*f = -106338 + 106752 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-66)\/(-54))\/(5652\/621 - 9). Which is greater: 12 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 2\/1309 (c) 0.4803\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 31 + 7*j**2 + 2*j**2 - 4*j - 24*j + 30*j.\nAnswer: 9*j**2 + 2*j + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.22 + -0.79. Sort k, 0.5, 0.1 in descending order.\nAnswer: 0.5, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29246, 58490, 87734?\n\"Answer: 29244*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**2 + 77*v**3 - 53*v**3 + 58*v**3 + (-3*v - v + v)*(4*v - 4*v - 2*v**2) in the form f + k*v**2 + c*v**3 + j*v and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -7. Let f be ((-4)\/(-10))\/(6\/5). Which is greater: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**8\/420 - i**6\/18 + 2*i**4\/3 - 5*i**3\/6 + 3*i**2. Let y(l) be the first derivative of v(l). Let y(p) = 0. Calculate p.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, t: 9, c: 3, s: 5}. What is prob of sequence scts?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 3. Suppose -h*i = -i - 12. What is the smallest common multiple of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 - -122221000222?\nAnswer: 122221001200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3822 is divided by 1269.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 5, -606, 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -248 - 4?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2\/7, 2\/19, 227?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2433, 3609, 4753, 5865, 6945, 7993?\n\"Answer: -16*r**2 + 1224*r + 1225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 13*o + 26 = 0. What is the highest common divisor of o and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 299992 and 1461.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ette when four letters picked without replacement from mkmektememjmetee.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1. Let u be 3\/(-4) - r\/2. Is -1\/4 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**3*i*u - 539*c**3*i - 4*c**3*u - 391*c**3 + c**2*i*u - 2*c**2*i + 90*c*i*u + 253*c*i - i + u wrt c.\nAnswer: -12*i*u - 3234*i - 24*u - 2346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2. Let w(p) = -15 - 1854*p + 0 + 1853*p. What is w(b(m))?\nAnswer: m**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(6\/7)*o**0)\/(o*o**(-2)*o)**(1\/9))**7 assuming o is positive.\nAnswer: o**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-34))\/(78\/3). Let k = l - 653\/1105. Which is greater: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 355314 and 710628.\nAnswer: 710628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38\/337 - -249385\/3033. Let x = d + -82. What is the biggest value in 3, x, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -2, 5814 in descending order.\nAnswer: 5814, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -17*n - 682. What is p(-39)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 s when two letters picked without replacement from byaassyaasrb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*y - 202 = 0, -5*y = 7*q - 2*q - 240. Which is greater: 213\/4 or q?\nAnswer: 213\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1188\/(-252) - (-1 + -2) - -2. What is the second smallest value in 19, -0.04, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z + 2. Suppose -8 = -3*w + 1. What is the remainder when 14 is divided by s(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -1 - (14 - 14 - 3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -41335*h - 248001. Determine q(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 850 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s - 13762*s**2 - 3*s.\nAnswer: -13762*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 - 4*f**2 + 111 + 9*f**2 - 8*f**2 - f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (2*(sqrt(171) + 2*sqrt(171)) - sqrt(171)) + -1*(sqrt(171) + sqrt(171)*-1 - sqrt(171)))\/(sqrt(99)\/(sqrt(44)\/sqrt(4)*2)*-2).\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6225, 24909, 56049, 99645, 155697, 224205, 305169?\nAnswer: 398589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5228, -12097, -18968, -25841?\nAnswer: -32716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 + -68.33. What is p rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/15*13*12\/(-104)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -3, -2, -1, -5 in descending order.\nAnswer: 21, -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgvtvvgvdo. What is prob of sequence gdov?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 + 32. What is the common denominator of 35 and (s*(-2)\/(-5))\/(18\/(-10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22 - 1\/9*w**2 - 13\/9*w.\nAnswer: -(w - 9)*(w + 22)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 3:17 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 22 + 2. Suppose 3*u + 52 = -2*k + 3*k, -c*k + 201 = -5*u. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 70*m**2 - 18*m - 10. Let n be d(-4). Is (33\/(-99))\/((4\/n)\/(-2)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*i - 2*i + 264. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -16*v - 47. Let j be n(-6). Find the first derivative of 0*p**2 + 114 - j - 55*p**2 wrt p.\nAnswer: -110*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21534.5 - -21525. Which is smaller: d or -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**4*g**2 - 35*b**4*g - 3*b**2 + 2*b*g**2 + 778*b wrt b.\nAnswer: 24*b**2*g**2 - 420*b**2*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*j**3*q**3 - 18*j**3 + j**2*q**3 + j*q**3 - 39*q**2 wrt j.\nAnswer: -114*q**3 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - l - 1 + 8539134*l**2 - 8538902*l**2 + l**3 to the form o*l**3 + c*l**2 + b + m*l and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 + 7*x**2 - 2*x**2 - 27*x - 2*x**2 in the form b*x**2 + i + d*x and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 6*b - 2. Give d(5).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kakxkakaaxakkxbkkka. What is prob of picking 1 k and 1 x?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h - 7. Let c be f(5). Let j = 8 - 5. Suppose -3*l + 16 = 5*u, 2*l - 4 = -j*u + 6. Solve -2*b - c - u = -4*s, 5*b + 23 = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 4*k + 1, 3*k - 3 = -3*r - 0. Suppose 35 = m + i, 12 = r*i - 7*i. Suppose 44*s = m*s + 1188. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Let n = -67\/14 + 30\/7. Which is the closest to 1? (a) z (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -71 + 1\/2*j**2 + 141\/2*j.\nAnswer: (j - 1)*(j + 142)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2, -0.06, -959?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46086 is divided by 408?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1452439919.\nAnswer: 7, 47, 607, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -14. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*n + 47*n + 54 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 32829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -19 + (1 - -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 - 5) + 22 + 9 + -41.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*y = -510, 5*y = 5*l + y + 510. Let x = -65 - l. Do 37 and x have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-5) - ((-187)\/(-33) + -11). Let u(h) be the first derivative of -3 + q*h**3 - h**5 - 5*h + 0*h**4 + 0*h**2. What is l in u(l) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 866, 872, 878, 884, 890, 896?\n\"Answer: 6*h + 860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 100*r**3 + 33356240*r**2 + 13342484*r + 1334248 = 0.\nAnswer: -333562, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 369174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-40) - (-66)\/(-16). Let c = l + 4. Factor -2\/7*t**2 + c - 2\/7*t.\nAnswer: -2*t*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*u**2)*((3 - 3 - 3)*(-u + 3 - 3) - 3 + 3 + u) + 4*u**3 + u**3 + 0*u**3 + (-u**2 + u**2 + u**2)*(0*u + u + u).\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**2*y**3 - d**2*y**2 + 8*d**2*y + 4*d**2 - 26*y**3 + y wrt y?\nAnswer: -12*d**2*y - 2*d**2 - 156*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyn when three letters picked without replacement from nvjjjhnnyjnjjhhjj.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 41. Let o be (-52)\/m + 2\/(-7). What is the units digit of ((-18)\/o)\/((-2)\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1\/21 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 197559536 divided by -1.\nAnswer: -197559536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94820, 94821, 94822, 94823, 94824, 94825?\nAnswer: 94826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*g = 17, 2*g - 2 = -3*v + 8. Let x(o) be the first derivative of -3*o**2 - 2*o**3 - 1\/2*o**4 + v - 2*o. Find q such that x(q) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 1. Let m be 56\/f*(1 + -43). Suppose 2*l + 4*u - 98 = 0, u - 196 = -4*l - 4*u. Calculate the highest common divisor of l and m.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 102670787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 56001872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -787177, -787210, -787271, -787366, -787501, -787682?\n\"Answer: -z**3 - 8*z**2 - 2*z - 787166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + 3. Let v = 20 + o. Suppose i - v = 10. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -765, -4, -28, 5, -19, 4?\nAnswer: -765","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 - 2 + 1 - 8*c**4 + (-c + 3*c + 0*c + (0 - 2 + 1)*(2*c - c - 2*c) + 2 + c - 2)*(-5*c**3 + 3*c**3 - 6*c**3).\nAnswer: -40*c**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4908 is divided by 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -0.1. Let f = 11.98 - 12.28. What is the closest to -0.1 in f, -12, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in -1\/4, 0.4, 1\/323, -2\/21, 0.02?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 10\/69129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -20*m + 5. Let s(g) = -19*g + 4. Let n(t) = 7*s(t) - 6*y(t). What is the remainder when 21 is divided by n(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.44, 4, -0.09 in decreasing order.\nAnswer: 4, -0.09, -0.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -379400 to the nearest ten thousand.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 36*p - 34*p + 12 - 5. Let j(v) = -v - 5. Give -5*f(r) - 7*j(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 22*v - 75. Let b be l(11). Is b equal to 10\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/9)\/((-1)\/3). Let p = -92 + 56. Let c be (-2)\/9 + (-8)\/p. Solve -20 = -c*w + u*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/15)\/(((-6)\/10)\/(-1)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/2, 36.7, 0.0271, -1\/3.\nAnswer: -1\/3, 0, 0.0271, 1\/2, 36.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24467310 a multiple of 1278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 948.6601 days?\nAnswer: 22767.8424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2957 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, p: 2, t: 2, m: 6}. What is prob of sequence tmp?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.82 - 0.18. Let i = 13 - 7. Let s = i + -4. What is the closest to 1 in -2, s, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -46. Let l = 22 - p. Suppose 0 = -4*v - 3*r + 323, 3*r = -l*v + 132 + 37. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26029706389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 16 + 11 - 30. Give q(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37789*b - 37789*b - 275*b**2.\nAnswer: -275*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -346364841\/944 - -366912. Find the common denominator of y and 3\/5192.\nAnswer: 10384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {g: 3, l: 4, q: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 415 and 149910.\nAnswer: 12442530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/50 and 3\/6730.\nAnswer: 33650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 37*s**2 + 1250*s - 43715. Determine k(36).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -342, -0.5, -1\/3 in descending order.\nAnswer: 0.3, -1\/3, -0.5, -342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 2 = -2*l, -3*l + u + 4 = -3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4229*o**3 + 0 + 4.\nAnswer: -4229*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162 and (-21)\/35 + 66\/10?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 353 - 341. Solve 10*g - 4*g = -a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 142*i - 74*i - 69*i. Let o(m) = 145*m. Give o(k(l)).\nAnswer: -145*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 3 (c) 3\/26 (d) 1\/10 (e) -491 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-5)*12\/18.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5 = z, -5*z + 5*v = -2*z - 9. Is 4\/z*388\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10066489 to the nearest integer?\nAnswer: 3173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -212 (c) 0.4 (d) 2\/19 (e) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1636404 and 888076?\nAnswer: 4508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r - 2*r**3 + r**3 + r**2 - r + 16*r as a + i*r**3 + o*r + s*r**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130442383 and 31156.\nAnswer: 7789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14, 31, 50, 71, 94, 119?\n\"Answer: l**2 + 14*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a**3 + 4*a**2 + 3*a. Let s be 4\/(-10) + 1884\/10. Suppose 5*o = o + s. What is the remainder when h(-3) is divided by o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -13*x. Let v be 4\/(-22) - 1855\/385. Let j(u) = -17*u + 5. Let a(m) = 162*m - 48. Let g(o) = v*a(o) - 48*j(o). Give n(g(c)).\nAnswer: -78*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 464 and -0.0415.\nAnswer: 463.9585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**6\/9 - 8*v**5\/15 - v**4\/3 + 8*v**3\/9 + v**2 - 42. Suppose w(f) = 0. What is f?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 13.854. Let h = -0.644 + i. Let f = 0.82 + h. What is f rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 324964 = -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 30 + 78*o + 166*o.\nAnswer: 244*o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - 2*sqrt(80))\/sqrt(8))\/sqrt(5) + ((2 + sqrt(32))**2 - sqrt(2)) + (0 + sqrt(2))*5.\nAnswer: 19*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5.5 and -11146220.\nAnswer: -11146225.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 638 and 29337270.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4324882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 64*s**2 + 123*s + 521. Determine c(66).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**5\/20 - t**4 - t**3 - 3*t**2 - t. Suppose -g = -0*i + 4*i + 4, i = -4*g - 46. Is 19 a factor of l(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.275, 0.09 in descending order.\nAnswer: 5, 0.09, -0.275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h - 1. Let y be w(1). Let i be (4\/87)\/((-4)\/(-6)). Is y <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (636\/(-14))\/6 - (-49)\/7 and 29\/938.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 4:17 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7852290 - 3784?\nAnswer: 7848506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -2860 and -2860 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -794189 + -6.4?\nAnswer: -794195.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.931035mm in meters?\nAnswer: 0.003931035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + sqrt(32)) + (sqrt(18) + -4 - sqrt(18))**2*4.\nAnswer: -24*sqrt(2) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyjvjjqjmyjkmq. What is prob of picking 2 y and 1 j?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**2 - 3*s + 9. What is k(3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -32. Let t(i) = -i + 12. Let x be t(c). Solve s = -5 + x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*z**3 - 454*z**2 + 20*z + 3*z + 2 + 452*z**2 - 2 to the form w*z**2 + a + b*z + g*z**3 and give b.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1244 and 44.\nAnswer: 13684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -6, -5834 in ascending order.\nAnswer: -5834, -6, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)\/f)\/(f**(2\/21)*f) assuming f is positive.\nAnswer: f**(-233\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 1, 63\/2.\nAnswer: 1\/9, 1, 63\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 0. Let a(i) = -2*i**2 - 18*i + 2. Let s(l) = -l**2 - 8*l + 1. Let t(c) = -6*a(c) + 14*s(c). Calculate t(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 32, 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from faaafffafaaa. Give prob of sequence aa.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12.7647464*0.4\nAnswer: 5.10589856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1115*n**4 - 9*n**2 + 2*n - 64788 wrt n.\nAnswer: -13380*n**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361817.\nAnswer: 19, 137, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*t + 2)*(2*t**2 - 3*t**2 + 3*t**2) + (-5*t**3 + 0*t**3 + t**3)*(2 - 1 + 1) + 0*t**3 + 0*t**3 + t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -369*i. Let j(k) = 61*k. Give p(j(s)).\nAnswer: -22509*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*f - 15 + 31 = 0, 38 = 5*p + 3*f. Solve 0 = -24*d + 31*d + p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -224, -117, 3, 0.2 in increasing order.\nAnswer: -224, -117, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2*p = 83 - 93, 0 = a - 4*p + 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 44654.32 millilitres?\nAnswer: 44.65432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2936 times 1067.1\nAnswer: -3133005.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 3)*(2 - 3 + 2) + 32 + 25 + 7 - 45 + 32 + 28)*(-6*n + 2*n + 2*n).\nAnswer: -160*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6*j**2 + 253*j - 57. What is y(42)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2*f - 8, -4*y - 20 = -489*f + 494*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*m - 145 = -4*m, -d + 73 = m. Calculate the highest common factor of 18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s**2 - 7*s - 5. Let o be 16\/6*(-9)\/(-6). Let g = 0 - o. Is r(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 58?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 357359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34630573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 10*y - 19. Let h = -27 - -33. Let j be p(h). Suppose -4*l = 0, -170 + 475 = j*x + 2*l. List the prime factors of x.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13712 - -13712.2537. Round w to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k. Let s(p) = 9828*p**2. What is s(c(z))?\nAnswer: 39312*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27462.\nAnswer: 2, 3, 23, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m. Suppose -n - 5*f - 25 = -5*n, 20 = n - 4*f. Let g(x) = n*x**2 + 2*x**2 - x**2. What is v(g(y))?\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 7:33 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from iipiiiiinipivp.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -85 - (-54 - (51 - 95)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -3*p + 8. Suppose -5*y = 4*q - 1957, 2*y - 29 = 4*q + 793. What is the remainder when y is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 9:06 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 5*t**2 - 4*t - 7. Let r be b(6). Suppose j = -5*u + r, 52 = 5*j - 3*u + u. What is the greatest common divisor of j and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -63*d**2 + 3*d - 1. Let f(z) = -174*z**2. What is t(f(j))?\nAnswer: -1907388*j**4 - 522*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 935 divide 237136570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 5*n - 14 - 1\/3*n**3 - 5\/2*n**2. Calculate i(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 231*z**2. Let t(v) be the first derivative of 3*v**2\/2 - 128. Calculate t(a(o)).\nAnswer: 693*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 66 and 78915290.\nAnswer: 78915356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + b - 24 + 94, 3*w = 3*b + 30. Suppose 0 = -10*p + w*p - 5. What is the biggest value in -3\/4, -4, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 r when two letters picked without replacement from zzrzzzzzzzzrzzzzzzzz?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/(sqrt(40)*-2))\/(sqrt(24)\/sqrt(16) + (sqrt(216)*2 - sqrt(216) - sqrt(216))).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 333675 - 333741 = 5*a, -7*a + 5*a - 30 = 3*m for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -19*g + 475. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/2)\/(2\/(-2)). Let c be (2 - 2)*(h + 0). Let t be 4\/(-2) - (-17 - -5). Solve t = -c*j + 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 - -61. Let l be -3*((-129)\/9 - a). Suppose 4*x - 37 = w, 0 = -4*x - 0*w - 5*w + l. Let d(m) = -m**3 + 9*m**2 + m - 8. Calculate d(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*f**3 + 30*f**3 + 16*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27\/(-15) + (-2)\/10. Let v = -41.5 - -41.8. What is the closest to 0.1 in v, g, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*t - 34900 - 25574, -t - 5*c + 30272 = 0. List the prime factors of t.\nAnswer: 7, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1068546190?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41588*y**6 - 56236*y**2.\nAnswer: 4990560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, x: 2, f: 1, e: 3, g: 6}. What is prob of sequence fg?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 12*p**2. Let h(f) = -1. Let t(w) = 3*w - 15. Let y(x) = 15*h(x) - t(x). Give l(y(v)).\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 372102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 1. Let z = -0.4 - -0.9. What is the closest to 3 in u, z, -2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -774*q + 357*q + 574 = -403*q for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30445490035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 2. Suppose -2*r - 2 + q = 0. Suppose 0 + r = v. Solve -16 = x - v*x + 2*g, x - 14 = 5*g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 44, -1, 4907, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4855?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -330 (base 4) to base 5\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 16*h = -15*h - 9, 0 = -2*h + 8. Let i be (148 - 0\/(-5)) + c. Sort 0, i, -3.\nAnswer: -3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + l**2 + l. Let g(y) = -2*y**3 + 3*y**2 + 2*y + 5. Let j(b) = g(b) + 3*i(b). Let f be j(-5). Suppose 19 = f*w - 6. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/10)\/((-5)\/575). Let o = z + -43. Solve 0*h - h - o*v - 11 = 0, 0 = -v - 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 12.486641077\nAnswer: -21.486641077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 51\/34*376\/72*(-36)\/(-24)\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.1, 14, -44?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2 + 4. Let s be (-2)\/3 - (-1064)\/(-24). Let r be ((-2)\/g)\/(10\/s). Let p(f) = 2*f - 4. Calculate p(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 14*x**2 - x + 6. Let j(s) = -1. Determine 6*j(k) + n(k).\nAnswer: 14*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -22*f - 5. Let m be z(-6). Suppose 4*d = -2*y + 280, 10*d = 5*y + 8*d - 628. Is m greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i + 4. Let h be t(-3). Let a(f) = 5*f**2 + 2*f. Is 10 a factor of a(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4295 is divided by 261?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 4. Let v = -4.6 - q. Let h = -0.4 + v. Which is the third biggest value? (a) 1 (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1006*g**2 + 294*g**2 - 85*g**2.\nAnswer: 1215*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -96, -3, -2, -43 in increasing order.\nAnswer: -96, -43, -3, -2, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, 3, -3, -2, -17, -1 in descending order.\nAnswer: 7, 4, 3, -1, -2, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4167, 4160, 4149, 4134, 4115, 4092, 4065?\n\"Answer: -2*b**2 - b + 4170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -53, -98, -165, -248, -341?\n\"Answer: c**3 - 17*c**2 - c - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*c - 39*c + 770 = -29*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -485.565 - -491. Let v = x - 0.035. Round v to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 308, 739, 1294, 1973, 2776, 3703, 4754?\n\"Answer: 62*i**2 + 245*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 s when four letters picked without replacement from {e: 6, r: 4, s: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 9*p + 12. Suppose -3*k + 65 = 2*k. Does 18 divide s(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) 77 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2198392 by -74.\nAnswer: -29708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o + 43. Let l(h) = -h - 11. Let g(d) = 4*l(d) + u(d). Let r(b) = -b**3 + 6*b**2 - 7. Let f be r(6). Calculate g(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658086 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(3\/11)*h)\/h**(-2\/9))\/(h**(-1))**18)\/((h*h*h**(-3))\/(h*h**1))**(-30) assuming h is positive.\nAnswer: h**(-6935\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 smaller than 87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 3. Let y be x(3). Let n = -3 + y. Suppose 4*a + 4*k = 2*a + 246, n*a - 5*k - 358 = 0. What is the highest common factor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -126 + 129. Suppose -j*g + p = -35 - 21, 4*p = 5*g - 98. Calculate the remainder when 67 - (12\/(-4) - -4) is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -33*q. Let z(b) = 23*b. Determine z(c(w)).\nAnswer: -759*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 10:23 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 475 and 171.\nAnswer: 4275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -2\/119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 plus 0.0247?\nAnswer: 11.0247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11292? (a) 1\/5 (b) -2\/3 (c) 5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -527*k + 817*k - 306*k.\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 122 = -5*t - 5*c, 3*c = -6. Solve r = 63 - t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*r + 7 = -130*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = k + 5*y, 5*y + 0 + 10 = 0. Suppose -108 = -3*w - k*x + 39, 0 = -5*w - 3*x + 245. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-120))\/((-9)\/6))\/(9\/15)?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 75*u**2 + 75*u - 73. Calculate o(1).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**2. Let g(o) be the second derivative of -8*o**3\/3 - 7*o + 2. What is d(g(t))?\nAnswer: -768*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 5:07 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1161 and 80969.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 290436\/181535 - -4\/36307. Determine l, given that -6\/5*l - 2\/5*l**3 + 0 - o*l**2 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133 and 1311?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317 = 10*n + 63. Which is the biggest value? (a) 0.2 (b) n (c) 1\/4 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 + -46. What is the lowest common multiple of u and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5878962 divided by 1?\nAnswer: 5878962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 38. Suppose 0 = l - o*x + 72, 3*l - 2*x = 2*x - 212. Let f = -36 - l. Solve 3*y - f = -5*i, 0 = -3*i + 7*i + 4*y - 32 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -484019, -484198, -484375, -484550, -484723, -484894?\n\"Answer: t**2 - 182*t - 483838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - -22. Calculate the remainder when y is divided by 395\/45 - 68\/(-306).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33846281 take away 50323.34?\nAnswer: -50323.67846281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 154592 bigger than 0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 1 - -9 - (1 - 7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -30, -192, -544, -1086, -1818, -2740?\n\"Answer: -95*a**2 + 123*a - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p + 2*z = 84, 56*p - 41*p - 15*p = -3*z for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 10 + 15 = u, 3*v = -9. Factor -3\/5*y**u - 12\/5*y + 3.\nAnswer: -3*(y - 1)*(y + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -30. Let b = q - -43. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 4*s + 8.\nAnswer: -4*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 17503460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = -8*i - 221848. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 10*l**2 - 21*l + 4. Let i be v(-2). Sort i, -134, 5 in decreasing order.\nAnswer: 5, i, -134","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2 + 162*y - 711. Calculate z(48).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.8032 and 2?\nAnswer: 3.6064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - 5. Let r = 59 + n. Let i = 37 - r. Is i <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 0 + 7*n + 0*n**4 + 11\/10*n**5 + 0*n**2 - 35\/6*n**3. What is the second derivative of s(x) wrt x?\nAnswer: 132*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.09 + 1.19. Let o = 16 + h. Which is the closest to o? (a) -4 (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 142 + -82. Let z = x + -56. Sort z, -5, 0, 5 in descending order.\nAnswer: 5, z, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c - 5. Suppose -4*z - 3*m = -8*z + 13, -4*z + 4*m + 16 = 0. Let t(g) = 5 + 167*g - z - 171*g. Let s be 3\/(2 - (3 + -2)). Determine s*t(j) + 2*v(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5 = 5*n, -n + 0*n + 3 = d. Suppose 2*h - 4*y - 8 = 0, h - 4*y + 0 = 4. Suppose d*i = -0*i + h. Solve 2*v + 6 = -i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 6*x**2 - 5*x + 3. Suppose -5*n + 2*l = 22 - 56, 0 = -2*n - 5*l + 31. Is o(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + 38. Suppose -3*a + a - d = -62, 4*d + y = 4*a. Is a a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.6 (b) -3\/8 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73727201.\nAnswer: 19, 479, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 7*l - 5. Suppose -4*x + x = 39. Let c = -6 - x. Let j be g(c). Which is smaller: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(11)*3)**2*5 + sqrt(1584) + 4*sqrt(1584) + ((sqrt(660)\/(sqrt(48)\/sqrt(4)))\/((sqrt(30)*2)\/sqrt(6)))**2).\nAnswer: -1991\/4 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*v - 2 + 2 + 0 + 2*v**2 to i*v + t*v**2 + k and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in milliseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34411, -67800, -101189, -134578, -167967, -201356?\n\"Answer: -33389*l - 1022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y + 6. Let q(j) = 19. Let i(g) = -115. Let l(f) = -i(f) - 6*q(f). Give -3*l(h) - p(h).\nAnswer: 2*h - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17\/28 - 6\/7. What is the closest to k in 0.2, 5, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*8\/12*9\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -49, -80, -111, -136, -149, -144, -115?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286566 is divided by 286562?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 6 - 6)*(11*j + 0*j + 2*j) - 4*j**3 + 3*j**3 + 7*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 12 = 0, -3*u - 3*m = -2*u - 20. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0, 3\/8, 0.1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -1\/6, -2\/7, -118\/3, 29, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 + 35*q + 56. Give g(17).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 + 0*j**3 + 5 + 2*j**3 + j**3. Let y(d) = 2 + 2*d**2 + 2*d**3 - 4 + 6. Let l = -6 + 3. What is l*o(q) + 4*y(q)?\nAnswer: -q**3 - q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404282.52 milliseconds to hours.\nAnswer: 0.1123007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12099504 divided by 6?\nAnswer: 2016584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1854471\/387436 - -4233\/959. Let l = -5\/101 - g. What is the common denominator of -70\/81 and l?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*p = 7*v - 16, -p = 0. Let g = 1 + v. Calculate the remainder when 86\/6 + 1\/(-3) is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -26, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.85 and 14447.\nAnswer: 12279.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 234 and 6010706.\nAnswer: 54096354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 2, -3, -11.\nAnswer: -11, -4, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from boxnonxxnxoxonxn.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/96 and -119\/24?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*o**5 + 33 - 33 + (2 - 2*o**2 - 2)*(-6*o**3 + 2*o**3 + 3*o**3) - 4*o**5 + 3*o**5 + 2*o**5.\nAnswer: -9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -204, -427, -740, -1143, -1636, -2219?\nAnswer: -2892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-999844)\/(-1549482) - (-36)\/(-51).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 15 + 17 = -4*k, 3*u - 8 = k. Let p be k - (0\/3 - 3). What is the remainder when (-268)\/10*p\/2 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03289482 to 4 dps.\nAnswer: 0.0329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 1741\/50419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -38*y**5\/3 + 92*y**4\/3 + 82*y**3\/3 - 16*y**2 = 0. Calculate y.\nAnswer: -1, 0, 8\/19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**3\/2 + 51*r**2\/2 - r. Suppose 3*d = 15*d. Calculate the remainder when q(d) is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, m: 2, f: 3, t: 4, w: 1, n: 1}. Give prob of picking 1 t and 1 n.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + 5*f**2 + f**2 + (0 - 4 + 2)*(1 + f**2 - 1).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2576, -1331, -5238, -9145?\nAnswer: -13052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84.4 + 84. Sort u, -3, 0.4, 0.1 in descending order.\nAnswer: 0.4, 0.1, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -19. Suppose -t + 4*u + 580 = s*t, 765 = 5*t + 5*u. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(392)\/((sqrt(240)\/sqrt(6))\/sqrt(5)))\/(sqrt(847) - -4*(-3*sqrt(847) - sqrt(847))).\nAnswer: -sqrt(7)\/165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(96))**2*4.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5620 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: Rearrange 4*d + 0*d - 2*d - 2*d + 0*d - d + (d + 0*d + d)*(2 - 2 + 2) + 0*d + d + 0*d + (2061*d + 2355*d - 1305*d)*(-4 + 2 + 4) to the form g + f*d and give f.\nAnswer: 6226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**33*(u\/(u**(18\/11)*u))\/u)\/(u**32*u\/(((u*u**19\/u)\/u)\/u*u)) assuming u is positive.\nAnswer: u**(169\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 469*n - 1394. Is 33 a factor of j(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/80)\/((6\/(-8))\/(-1))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-4 + 0) - 4 - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2 - 6)\/(-8) - 147\/42) + (-219)\/(-3).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 255, -0.3, 15\/4?\nAnswer: 255","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 7:37 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 58159217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4299071402 to the power of 1\/2, to the nearest integer?\nAnswer: 65567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 92 * 92.\nAnswer: 8464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 180, 450, 802, 1236, 1752?\n\"Answer: 41*y**2 + 147*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1622*d = 1627*d + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*o = 40*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r + 183 - 82 = -174 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 513 * -14071.6\nAnswer: -7218730.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/25*1\/(-2). Let s be ((-120)\/32 - (-2 + 0)) + 3. Let r = -5 + 3. What is the smallest value in r, w, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - x**2 + 6*x - 5. Let z(g) = -4*g**3 - 5*g**2 + 24*g - 21. Let w(i) = 9*a(i) - 2*z(i). Give w(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 485, 486, 487, 488, 489, 490?\n\"Answer: q + 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386*i = 159291 + 27533. Calculate the greatest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14980, 14979, 14978, 14977, 14976, 14975?\nAnswer: 14974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145746381?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 9 + 234. Suppose 11 = 4*b - u. Suppose b*w - 6 = 21*w. Solve -9 = 4*d - p, -3 - w = 5*d - 3*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*j = 216 - 839 - 312 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -20*r**2 - 7*r**3 - 14*r**2 + 8139 + 8153 - 16292. Let q(x) = 6*x**3 + 34*x**2. Give -5*q(l) - 4*z(l).\nAnswer: -2*l**3 - 34*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123301517.\nAnswer: 123301517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 + 18*g - 58 + 111 - 53 as o*g**2 + n + w*g and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 1329138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 11. Let s be g(-11). Suppose -27*x = -32*x - z + 3654, -2*z - 2 = s. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-4) + 2477342\/56. Suppose -4*z + v = -h - 27765, z - 18015 = 5*v. What is z rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 5 + (23 - 11) - (-3 - 0)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26035 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 20 + 1 - 4*p**2 in the form a + x*p + u*p**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3319, 3326, 3333?\n\"Answer: 7*l + 3312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4 - -8) + (-16)\/5)*(-200)\/(-80)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-45)\/(-5) - (0 + 1). Suppose -m = 4*l - 0. Let y = 0 - l. Solve 3*o + y*o = 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/13, -0.09, 5\/4 in increasing order.\nAnswer: -2\/13, -0.09, 1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5916085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -7.9. Let d = b + 3. Let i be (-2)\/(-8) + 9\/(-20). What is the biggest value in 2, d, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24339574 to the nearest integer?\nAnswer: 4934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 5*i**7\/21 - i**5\/60 - i**3\/3 + i**2 + 59*i. Differentiate s(l) wrt l.\nAnswer: 200*l**3 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -cca (base 14) in base 5?\nAnswer: -40110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -159532 (base 10) in base 3?\nAnswer: -22002211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b + 5*q - 315, 5*b - 2*q = 280. Let z = b + -34. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 350*p**4 - 326*p.\nAnswer: 4200*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 1 (c) -9 (d) 4 (e) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -195280 divided by -4\nAnswer: 48820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 12. Let q be d(9). Let k = q + -2. Let m(n) = 12*n. Let g be m(k). Solve 32 = 5*j - 3*s, g = -5*s + 2*s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*r = 3, 128*j = 129*j - 5*r - 18. Which is the closest to -2\/41? (a) 1\/3 (b) 8 (c) j (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-13)\/(-78)*2 - (-5)\/(15\/130799)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/5, 9, -3, -10, 1\/6, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-36)\/(-90))\/(6\/(-5))*-4512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 + 0.08. Let p = -1 + 2. Suppose -2*j + 5*d = 1 + 1, -4*j = -4*d - 8. What is the nearest to p in t, j, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**3\/3 + 3*c**2\/2 + c. Let s be j(-2). What is the units digit of 1 - (2 + s)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7870048 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.75578 to one dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**3\/6 - 11725015*t**2\/6 - 17184505887536*t\/3 - 17184488300018 = 0.\nAnswer: -5862506, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -33*t - 1209. Let j be r(-43). What is the greatest common divisor of j and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.4, -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*f - 928, -13*n - 1 = -14*n. Is 41 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108992707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -963310\/7 greater than -137617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n. Suppose y = -y. Let r(k) = 0*k + y + 0 + 2*k. Calculate r(s(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66071 by -15.\nAnswer: 66071\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104 + -241. Let z = -1019.7 + 875. Let q = z - v. Round q to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 8*q - 3. Let h be j(5). Suppose k = -h + 37. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 e, and 1 f when four letters picked without replacement from eeilipipfp.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yndnjenydell. Give prob of picking 2 y.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-450)\/(-12))\/(-15)*32\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.22647 + 0.32647. What is the nearest to n in 4, -90, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.031305kg in milligrams?\nAnswer: 1031305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**4\/3 + 2*k**2 - 8*k\/3 - 4. Factor q(u).\nAnswer: -4*(u - 1)**2*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u = -51*u - 288. Sort -2, u, -5, 0 in decreasing order.\nAnswer: 0, -2, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minus 23150845?\nAnswer: -23150796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1673775 divided by 9675\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6\/5)\/h)\/h)\/h*(h\/(h*h**(-2\/9)*h))\/h assuming h is positive.\nAnswer: h**(-269\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4327876 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-8)*3*((-66)\/(-154))\/(33\/(-924)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -11, 1\/3, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8050 divided by 805.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2174, -9562, -21872, -39104?\n\"Answer: -2461*o**2 - 5*o + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61081 (base 13) to base 5.\nAnswer: 21024133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**4\/21 - 68*g**3\/21 + 142*g**2\/7 + 2584*g\/21 + 2888\/21 = 0.\nAnswer: -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, e: 3, i: 4}. What is prob of sequence eede?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 208957858 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.175.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9995?\nAnswer: 5, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33.3 + -38. Let k = n - -4.70033. Round k to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 160812*o**5*r*w + o**3*r**2*w + 45*o**2*r**2*w + o**2*r**2 + 2*o**2*r*w + o*r**2*w - 6*o*r*w + 5*r wrt o.\nAnswer: 9648720*o**2*r*w + 6*r**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -370.68 - -276.4. What is u rounded to the nearest integer?\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -149195533*z**3 + z - 64289501?\nAnswer: -895173198*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**2 - w - 1. Let x be b(-1). What is the second derivative of 4*j**4 - j**4 - 4*j - x*j**4 wrt j?\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.15 - -5.97. Let j = l + -1.819505. Round j to five dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(sqrt(1100) - (sqrt(1100) + 4)) + (sqrt(1100)*3)**2*3.\nAnswer: 29675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 16*t**2 + 2*t + 1. Let n be v(2). Let f = -46 + n. Suppose 5*i = 62 + f. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 34*s**2 - 1. Suppose 4*d - 13 = z, -5*z = -8*z + 2*d - 9. Let w be t(z). Solve w = 4*n - 5*b, 3*n = -n - 2*b - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 14 = 4*j + 4*d, 14 = 5*j - 2*d. Let t(k) = -451*k**2 + 2*k**3 - 3*k**3 - 2 - k + 456*k**2. Give t(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d - 122 + 63 + 64.\nAnswer: 11*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 - 40) + -1 + (2 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 28*d - 17 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41560, -42500, -43440, -44380?\nAnswer: -45320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100513030 to the power of 1\/3, to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 510152516 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 10:43 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131 - 127. Solve 4 = o*f - 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -33, -66?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2. Let k(g) = 266771*g. What is k(w(c))?\nAnswer: -533542*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/3 - 11*b**3\/3 - 17*b**2\/3 + 71*b\/3 - 14.\nAnswer: -(b - 1)**2*(b + 6)*(b + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 112334420?\nAnswer: -112334424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 5 (b) 2\/5 (c) -8 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 5*b + 2*r, 238*r = 5*b + 118*r + 115*r + 80 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (0 + sqrt(612))*5 + 2)**2 - ((-4*(4*sqrt(1088) + sqrt(1088)) - sqrt(1088))**2 - (sqrt(1088) + 0 + -3)).\nAnswer: -464462 + 428*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.636 less than 1.0563789?\nAnswer: 1.6923789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*i = -5*h - 25, 0 = 4*i. Which is the closest to -1? (a) h (b) 0.03 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77529939, -77529944, -77529949, -77529954?\nAnswer: -77529959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 16 = 0, 2*y = 3*o - 69 + 5. Let c be (-16207988)\/8 + o\/(-16). Round c to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40804867.\nAnswer: 2671, 15277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2, 2\/17, -90?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -66 in -1\/5, -0.5, -5, 0.27, 2\/27?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 59216979 - 59216979.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 25781*x + 25779*x + 1 = 0, -3*x - 5 = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219252*r**3 - 219246*r**3 + 0 - 4 + 4.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 13562099*k = -13562100*k - 13, -2*j = -2*k + 38 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75505229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.9 + 2.7. Suppose 2*r + 124 = -2*r. Let l = -125\/4 - r. Sort l, g, 1\/2.\nAnswer: l, g, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 1. Let i(v) = -v**3 - 5*v**2 + 5*v + 6. Let o(t) = 6*c(t) - i(t). Give o(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.57 + -2.48. Let d = -5.05 - m. Which is the smallest value? (a) d (b) -1\/30 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -118, -16\/7, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**2 + 5915*c - 5915*c. Let j(u) = 3*u**2. Suppose -12 = -2*x - 2*x. Let n(s) = 3*s**2. Let v(b) = x*j(b) - 4*n(b). Calculate v(p(g)).\nAnswer: -27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14609251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**7\/280 - 13*u**6\/480 + 11*u**5\/240 + 5*u**4\/96 - u**3\/4 - 76*u**2. Solve w(n) = 0 for n.\nAnswer: -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5895 - 5794. Solve 23 = -13*h + s for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -3*x**4 + 40 + 5*x**4 - 33 + 2*x**3. What is the third derivative of n(f) wrt f?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((5 + -1 + sqrt(117))**2 + 0).\nAnswer: -266 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*w + 24 = 0. Let z = -3 + w. Suppose -z*i + 14329831 = -6070169. Round i to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 300 (b) -3 (c) 2 (d) 3 (e) 0.02 (f) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/1 - (-6 - -2). Let r = 3 - p. Let z = r - -20. Solve -4*l = 4*n - 32, -5*l = 3*n - z - 19 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1583, 6137, 13661, 24155?\n\"Answer: 1485*p**2 + 99*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + (sqrt(468)*-2)**2 + ((sqrt(468) + 0)*-2)**2) - -3*((sqrt(117) + (sqrt(117) - (-1 + sqrt(117) + sqrt(117) + -1)) + sqrt(117))*-5)**2.\nAnswer: 900*sqrt(13) + 20319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) -32 (c) 0 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 9178?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 3 - (17\/(-204))\/((-13)\/156)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1023 and 1302?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2065465?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2\/3, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14632316, -14632345, -14632374?\n\"Answer: -29*j - 14632287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 5, -3*i - 6 = -2*v + 1. Solve -4 = d + 2*d + 5*a, -4*a = -v*d + 18 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2037*o = -904*o - 15862 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 156007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -15*z - 30. Let o be w(-3). Let u = 9 - 4. Suppose 2*y - 4*f - 1 = -25, -u*y - 5*f + o = 0. Let x(b) = -b - 2. Let d(r) = 2. What is y*x(k) - 2*d(k)?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -27.696.\nAnswer: -55.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + (sqrt(76) + (sqrt(76) + 0 - sqrt(76))*-6 + sqrt(76) - (5 + -2 + sqrt(76)))**2 + 3 + 1.\nAnswer: -12*sqrt(19) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.59 and -34.\nAnswer: 122.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -21. Suppose 4*c = -d*q + 5*c + 53, -4*q + 2*c + 58 = 0. Let y be 4\/((-112)\/(-324)) - q\/(-28). Solve y = -5*k - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 79.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1002 - 1010 = -4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -11. Let p = u + -7.4. What is the second smallest value in 0.1, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**5 + 3*v**5 + 5*v**5 + (-3*v**3 + v**3 + 4*v**3)*(-v**2 - 1 + 1) - v**5 - 3*v**5 + 5*v**5 + 5*v**5 - 2*v**5 - 2*v**5.\nAnswer: 3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 40*q - 289. Let j be v(7). Which is smaller: -7\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 12*x + 31. Let h be c(-9). Let d(z) = -h*z**2 - 7*z**2 + 1178 + z**3 + 12*z**2 + 293. Is d(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3 + sqrt(847) - ((5*sqrt(77) - sqrt(77))\/sqrt(11) + sqrt(7))))**2.\nAnswer: -48*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1351 = 42*s - 49*s. Let a = 207 + s. Solve -2*d = -5*p - a, 4*p + 5*d = -0*p + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -57, -146, -235, -324, -413?\n\"Answer: -89*t + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 1000*z**2 - 9*z - 453. Let k(g) = -g**2 - 3*g + 1. Let o(r) = 3*k(r) - s(r). Find the first derivative of o(h) wrt h.\nAnswer: -2006*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22168 - 13264. What is the least common multiple of 6 and i?\nAnswer: 8904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5 + 6\/7*b**3 + 22\/7*b**4 + 8\/7*b + 0 - 22\/7*b**2 = 0. Calculate b.\nAnswer: -1, 0, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 0 - 23*l + 11\/12*l**4 - 7\/2*l**2 - 1\/20*l**5 - 3\/2*l**3. Calculate x(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -5*q - h, -q - 9*h + 8*h - 10 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 14. Let p(r) = 3*r + 184. Let l(z) = -2*z - 138. Let h(v) = -4*l(v) - 3*p(v). Let a(s) = -3*s. Determine b*h(x) + a(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (123 - (-1 + -2))\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 7*q - 11. Let y be x(-6). Let k = -116 + y. Suppose -24*w - 1194 + 66 = 0. Which is smaller: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 3*n - 2*n as j*n + c and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13043300 (base 6) in base 4?\nAnswer: -1213331310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1335123 (base 7) in base 6?\nAnswer: 3443410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -59*n**2 + 38092*n + 14212.\nAnswer: -(n - 646)*(59*n + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/356 and (-923)\/923 - ((-4)\/6 + 314\/(-24)).\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 * -0.08\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqdvdqdvqqd. Give prob of picking 3 d.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 11:32 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.1 - 11?\nAnswer: -47.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-50))\/(2\/10) + 0. Let i be 104\/16 + 5\/t. Solve 2*f + 2*d = 0, f - 2*d + i = 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -3. Let v be -1 + 8\/(-2 - x). Let f(m) = -m**3 + m**2 + 2*m. Is f(v) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 828 divided by -276?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1251771 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 26. Suppose 0 = -3*v + 2*c + 1, y*c - 16 = -2*c. Find u, given that 28*u - 21*u**v + 6 + u**2 - 4*u**2 - 13*u - 3*u**4 + 6*u**5 = 0.\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**4\/6 + 81*b**2\/2 + 2*b + 61. Is l(19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**2 + 2*a + 1. Let y(b) = 5*b**2 + 109*b + 2. Let u(l) = 2*h(l) - y(l). Find q such that u(q) = 0.\nAnswer: 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-11 - -32) + -11) - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(7) + -5*(-3 + sqrt(7)) - (-3*sqrt(56) + sqrt(56))\/sqrt(8)))**2*-3.\nAnswer: -852 + 192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9325560 by 10.\nAnswer: 932556","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 4*z + 5*z = 11, 5*m + 3*z = -27 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w**2 + 10*w - 2. Let p(j) = -9*j**2 + 9*j - 2. Give -2*p(n) + 3*u(n).\nAnswer: -3*n**2 + 12*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346*j - 112 = -174*j - 188*j. Let r(d) be the first derivative of 2*d**2 - 6*d - 2. What is the remainder when 79 is divided by r(j)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9301959 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.6, -1\/5, -2.356, 0.5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 14*j**2 - 1\/3*j**3 + 2*j - 2. Let r be s(11). Solve -2*n + 8 = -r*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -139 + 139. Suppose 2*v - 3*v = q. Suppose v = 2*t - 35 - 3. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-3961*s - 11146*s**4 + 1986*s + 1973*s).\nAnswer: -11146*s**4 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/((-4)\/348). Suppose -h*m + 55*m + 228 = 0. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyzl when four letters picked without replacement from yysyyzlyyzyyzzzz.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5887743537 - 0.2321\nAnswer: -5887743537.2321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17243967?\nAnswer: 3, 13, 17, 31, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-93)\/(10\/(-14) + 56\/196). Suppose -212*m - 25 = -c*m. Solve -12 = s - 2*l, 21 = 4*s - 2*s + m*l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 47, 68, 75, 62, 23, -48, -157?\n\"Answer: -g**3 - g**2 + 31*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18749 is divided by 155?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-18)*6\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 204 = -5*g - 3*l, 3*l - 219 = 5*g. Let o = g - -102. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3\/(-12) + 740\/80 and 120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 500 - 23*z**3 - 500 + (-3*z**2 + z**2 + 4*z**2)*(-3*z + z + 4*z).\nAnswer: -19*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -7 + 4 + -7 + 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -117455 (b) -23 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1231170000 to the nearest one million.\nAnswer: 1231000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*-6*5*1*sqrt(1573)*-3.\nAnswer: 2 + 5940*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 679\/(-28)*(0 + -42). Let q = c - 984. Find the common denominator of q and -5\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -247*n**3*r**3 - 89*n**3 - 42*n**2*r - 2*n*r**2 + 198*r**3 wrt n?\nAnswer: -1482*r**3 - 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*4*(1 - -1). Let h = z - -30. Which is bigger: h or -2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -286595*h**4 - 786808*h**2?\nAnswer: -6878280*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z + 9 = 0. Suppose z = 2*q + 1. Calculate the common denominator of ((-75)\/(-84))\/(q\/2) and 65\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -1069*x**2 + 2*x - 2. Let v be y(1). Let f = v - -77. What are the prime factors of (f\/11 - 2\/(-11))*-1?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -101062*j + 109188 wrt j?\nAnswer: -101062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/132*9)\/(3\/4)*1*-14.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 7. Let g be k(-5). Let n(u) = 5*u + 2. Let v(y) = -6*y - 2. Let d(w) = -7*n(w) - 6*v(w). Let t be d(g). Solve -q - 2*q - 9 = t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - f = 105, f + 27402 = k + 27387 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 37 = 3*k, -1 = -3*k + 5*x + 30. Let t be (27\/k)\/((-1)\/4). Let v be 3*-1*75\/t. Solve -25 = -5*l + 5*m, 0*m = 5*l + 2*m - v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.96 - -1. Let r = 99.2 - 99. Which is the closest to -1? (a) 1\/7 (b) l (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10)\/1*-1*2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 649\/2470 + 108\/247. Factor 0*b + 0 - 1\/5*b**2 + s*b**4 - 1\/2*b**3.\nAnswer: b**2*(b - 1)*(7*b + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + b**2 + 2*b + 6581. Is i(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-58)\/(-18) + (-2)\/9. Suppose 0 = -y*r + 224 + 16. Let a = -37 + 53. Calculate the highest common factor of a and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -609229 + 353794 = -25*a + 355690. List the prime factors of a.\nAnswer: 5, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685 smaller than 149.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1902 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 11:10 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -3*y + 15 + 17, 41*y = 729*g - 725*g + 274 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 6*v**5\/5 - v**4\/12 - v. Is 23 a factor of q(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -169 by 1431057.\nAnswer: -169\/1431057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24905821 - 1?\nAnswer: -24905822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 189 + 8*b**2 - 189 + (-6 + 3 + 1)*(-b**2 + 3*b**2 + 0*b**2) - b**2 + 0*b**2 + 0*b**2 - b - 4*b**2 - 75419 + 75419 as s*b + j + o*b**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 3 - 179\/1. Suppose 2*y + 43 = 9. Let c = y - x. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*r**3*x**2 - 115*r**3 + 46*r**2 + 4*r*x - 73*r - 555*x**2 - 1 with respect to x.\nAnswer: 74*r**3*x + 4*r - 1110*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58183\/327 or -178?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 + 102?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(1 - 3 + 0)*(0 - 1 - 1)*(-2*p + 6*p + 8*p).\nAnswer: 48*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125*o**2 + 10943*o - 33250347 wrt o.\nAnswer: 250*o + 10943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.92 - -140.92. Let s = o - 138.0182. Round s to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (23 + (-6 - -9))\/(2\/4). Let b = 60 - r. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**3 - j**3 + 2*j**3)*(135 + 9*j - 126 - j) to the form o*j**3 + c + i*j + l*j**2 + m*j**4 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 823225, 1646451, 2469677, 3292903, 4116129?\n\"Answer: 823226*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 91*y**3\/2 + 8720*y**2 + 556446*y + 11822184.\nAnswer: (y + 66)**2*(91*y + 5428)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 23*d - 128 = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -7) + -26 - -42?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**3 + 3*w**2 + 6*w - 8. Determine t(3).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -40.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4962558.950059337666502 + 1.075946972333498. Let h = 4962560 - z. Let r = 0.026 + h. Round r to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 (base 9) to base 10\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 + 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + s = 0, -5 = 2*k - 7*k - 2*s. Let a(l) = -l**3 + 8*l**2 - 6*l - 9. Let q be a(7). Sort k, -11, q in decreasing order.\nAnswer: k, q, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4356 and 21724452.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.95782 + -23.05782005. Let y = 0 + -0.1. Let a = j - y. Round a to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -7. Let n(c) = -c**3 - 6*c**2 - 4*c - 3. Let f be n(-5). Let j be (q\/(-10))\/((-2)\/f). What is the biggest value in 2\/3, 1\/2, j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -607 - -619. Calculate the remainder when z is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 808.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 - 1113*k + 12920. What is h(359)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 895354?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9352.984 days to microseconds.\nAnswer: 808097817600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 6:34 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -563*b. Let s(r) be the third derivative of r**5\/60 - 10*r**2 + 14. Determine s(d(j)).\nAnswer: 316969*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3349 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwww. What is prob of picking 2 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1216876.\nAnswer: 2, 109, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-8) - ((-58383)\/(-936) + -49)?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 2*q - 3. Let f be a(2). Suppose -f*m = -4*t + 30, -3 = t + 3*m - 2. Suppose t*i = 3*i + 28. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/12 + 15\/(-63).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqhhfffsqnnnfsfnnf. What is prob of sequence shn?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = -889*h + 3181. Solve -5*m + h*b + 7 = 0, -3*b = 3*m - 131 + 143 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 - -2.8. Let o = 0.44 - 0.04. Which is the closest to 1\/7? (a) o (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 7*t**4 - 1246*t**2 + 5*t + 1245*t**2 - 2 to l*t**4 + b + h*t**3 + y*t + c*t**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.1000189 - -4.1. Round l to 6 decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**5\/120 + p**4\/48 - 3*p**2 - 4. Find o, given that q(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 3*l**2 - 41*l - 234. Let c be n(-5). Sort 73, c, 5.\nAnswer: 5, c, 73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1260527.\nAnswer: 661, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 + 87. Which is the nearest to 0? (a) 0.3 (b) h (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 727105 (base 10) to base 8\nAnswer: 2614101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7200 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 390?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 40*p**3 + 32*p**2 + 32. Let z(w) = -4*w**3 - w**2 - 1. Let g(s) = 5*s**3 + s**2 + 1. Let b(n) = 3*g(n) + 4*z(n). Calculate 32*b(u) + h(u).\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 120 + -114. Suppose -3*f = -3, 0 = -3*t - f - 688 + 713. What is the highest common divisor of t and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 953 + 290 = -3*c, u - 2*c = 624. Let g = 3098\/5 - u. Find the common denominator of g and -107\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + 99. Let i(o) = -9*o - 232. Let c be i(-26). Let p be c\/(-16) + 14\/s. Solve p = -5*g + 8*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0267 and -5?\nAnswer: -0.1335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -251.51 + 250. Let j = 17.09 - n. Let k = -2.6 + j. Which is the second smallest value? (a) -2 (b) k (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**5 + 2885859*g**4\/2 + 173472407124*g**3 - 7548812090370*g**2 - 3817773966600*g = 0.\nAnswer: -240510, -1\/2, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 4*r - 12, -3*r + 2*j = r - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -156.7 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*j - 79*j = 97*j - 82*j + 8316 for j.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = -5*y. Suppose 5*f + 15 = 0, 5*f + 2 = -g + 3*f. Let t be 0 - (g\/2 - 2). Sort 2, t, y in ascending order.\nAnswer: y, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c + 25*c + 6 = 0. What is the nearest to -23 in c, -0.5, -5, 2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-228)\/(-48)*5254\/1349.\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 753, 617.\nAnswer: 1, 617, 753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1463 is divided by 430.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 207815 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 12*z + 96. Let a = -85 + 93. Calculate the remainder when 127 is divided by y(a).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -113\/3 + 37. What is the closest to f in 0.1, 2\/9, 4\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**2 + 0*v**3 - 3*v + 0 - 1\/3*v**4. Find the first derivative of o(f) wrt f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -73, -93, -141, -229, -369, -573, -853?\n\"Answer: -2*j**3 - 2*j**2 - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 25. Suppose -162 = -y*p + 8*p. Let g = -71 - p. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -220121210000?\nAnswer: -220121202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -679517?\nAnswer: 679512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48*-19.\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43069?\nAnswer: 13, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 2. Let p be m(2). Suppose p = 5*g - g + 896. Let w be 52\/g - 1\/7. Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -28, 3, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 43638?\nAnswer: -43643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 6*c + 56.\nAnswer: -2*(c - 7)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*j**3 + 47*j**3 - 20*j**3 + 0*j**3.\nAnswer: 45*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 133*z**2 - 4385*z - 239. What is t(33)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879047 is divided by 3421?\nAnswer: 3271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiiiiihiijij. What is prob of sequence jjj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1529 - 1524. Let t = 2.9 - 3. What is the closest to -4\/5 in p, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -35*w - 6. Is t(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*b, -b = -3*j + 3*b + 2. Let l(r) = 0*r**j - r**2 + 4*r**2. What is l(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 690*g**2 - 587*g**2 + 411*g**2 - 185*g**2 to the form y*g + o + p*g**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 52*x - 198. Calculate the lowest common multiple of -2 + 4 + -3 + 8 and c(4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.018 and 0.6.\nAnswer: -0.6108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -7. Let p(x) = -x**2 - x + 9. Let a be p(0). Let l = m + a. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 1 - (-38 + 35)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 80 = 66 - 56. Let g = -1.5 + -2. Let f = 3 + g. What is the nearest to -1\/3 in f, d, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j**3*l - 1074*j**3 - 3*j**2 + 1792*l wrt l.\nAnswer: -2*j**3 + 1792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-18)\/(-6)*((-14)\/18)\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, s: 5, x: 6}. What is prob of sequence ww?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -2*l**7\/105 + 2*l**5\/15 - 2*l**3\/3 - l**2\/2 + 6*l. Let z(v) be the first derivative of j(v). Factor z(g).\nAnswer: -4*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 13\/12*v**4 + 158*v + 0*v**2 + 0 - 205\/6*v**3 + 1\/10*v**5. What is the second derivative of f(h) wrt h?\nAnswer: 12*h + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 - 555*r**3 + 19185*r**2 - 201865*r + 331350.\nAnswer: 5*(r - 47)**2*(r - 15)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 163728 and 91584?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3535 - -3544. Solve 22 - 40 = i*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(3\/(-6)))\/(2\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -6*l**2\/7 - 144309*l\/7 - 4107933\/7 = 0.\nAnswer: -24023, -57\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3 + u**3 - 2*u**2 - 5*u + 5*u**2 - 7*u**2. Let a(k) = -k + 12. Let y be a(7). What is s(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjjfjsgjjgjgg. What is prob of picking 2 g?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**3\/5 + 3*x**2 + 72*x\/5 - 276. What is p in r(p) = 0?\nAnswer: -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 0. Let o(a) = -a**u - 1 - 4*a**2 + 2*a - 4*a. Give o(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -349 + 580. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 103, 65, -11, -137?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 0. Let k be (-2)\/z - 22\/18. Let l(d) be the first derivative of -3*d**4 + d**2 + d - 11. Calculate l(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 5*b + 3, -5*c - 278*b + 19 = -558*b + 289*b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g - 4. Let l(k) = k + 1952. What is m(l(d))?\nAnswer: 5*d + 9756","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 20 - (9 + -6))\/12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 + (160\/12)\/(-5))*-3 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1181538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**11\/y)\/y)\/y**(3\/11)*(y\/y**(-14\/3))\/(y*y**9) assuming y is positive.\nAnswer: y**(145\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2. Let w be (4\/(-3))\/(1\/(-3)). Let a(o) = -6*o**2 + o**2 + w*o**2 + 4*o**2. Calculate a(l(k)).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30299 and 213571?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 1016661*o - 2033310.\nAnswer: -3*(o + 2)*(o + 338885)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5+0.01058\nAnswer: -4.98942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**4 + 10530*q**3 - 2821399*q**2 + 185225304*q + 188057232 = 0 for q.\nAnswer: -10793, -1, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 370.8119 milliseconds in nanoseconds?\nAnswer: 370811900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3955909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -56, 125, 306, 487, 668, 849?\n\"Answer: 181*u - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Suppose -b*c + 876 = c. Calculate the common denominator of -17\/4 and c\/6 + 0 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217526463.\nAnswer: 3, 7, 11, 71, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -24704*j**3 - 8492*j**2 - 16984*j - 8492. Let l(g) = 3*g**3 + g**2 + 2*g + 1. Calculate 33968*l(c) + 4*z(c).\nAnswer: 3088*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4b (base 14) to base 10\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 0*l - 2*l**3 + (l**2 + 6*l**2 - 5*l**2)*(-4*l + 0*l + 3*l) - 2*l**3 - l**3 + 2*l**3 + (0*l + 0*l + l**2)*(-2*l + 3 - 3).\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (1 + (7 - 6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 40 - 19 + 33*m**2 + 2*m as l*m + b + t*m**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14998493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/22 + (237\/33 - 6). Let w(z) be the first derivative of -j + 1\/2*z**2 + z. What is w(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.68 - 0.67999447. What is z rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5260 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-4) + -9*1\/(-15)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/3102)\/1*(-6)\/(-4)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 4686?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13325 - 11941. Calculate the remainder when w is divided by 38.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0464687 and -0.652093?\nAnswer: 0.6985617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 2. Let l = 2 - -1. Let i be y(l). Solve -5*p = -3*k + 28, 5*p + 3*k + 15 + i = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 + 4*a**2 - 12*a - 1. Determine l(-5).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -141, -223, -307?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - b**2 - 3*b + 5. Let g be v(7). Suppose 3*m + 375 = 4*r, 0*r + m = -3*r + g. What are the prime factors of r?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -23. Let c = -20.999671 + b. Round c to 5 dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.304388 decades to years.\nAnswer: 13.04388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Suppose u + g = -3528307, 5*u + 7*g + 17641536 = w*g. Let y = -2028308 - u. What is y rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48\/(-11152)*(-17 + 1). Let x = 2\/41 + d. Let c = x - -11\/51. Is c > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 46769.16 decades?\nAnswer: 5612299.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*b + 2*r, -4*b - r + 6*r - 7 = 0. Solve x = -b*k - 9 + 3, -x = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 611 + 498. List the prime factors of z.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 28*y**3 - y**2 - 13*y - 11. Suppose 4*q = -4*r + 32, 5*r - 3*r + 5*q = 22. Is o(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -3 - (9 + -12) - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*4\/(-24)*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6721, -6715, -6707, -6697, -6685?\n\"Answer: p**2 + 3*p - 6725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 6*s - 13. Let f be a(3). Let i be 2 + 1\/((-1)\/(-20)). Let m = f + i. What is the remainder when 33 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 4:19 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 2*i**2 + 2*i + 7. What is f(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y = 3 - 103. Solve 0 = s + 4*n + 14, -y*s + 0 + 4 = n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3663981768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7590914281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*s - 16214 - 6197 = 430*s for s.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4 - 16*a**3 - 2*a**2 + 16*a.\nAnswer: 2*a*(a - 8)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 35, -1\/28, -1\/5, 0.4, 0.3 in descending order.\nAnswer: 35, 0.4, 0.3, -1\/28, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 272685 and 318?\nAnswer: 545370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50540\/224 + 3\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -17. Suppose 6*h - 318 = h - 4*q, -s*q = 2*h - 132. Does 31 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(9\/22)*(-2565)\/(-90) is divided by 54.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/21 and ((-87)\/(-27))\/((-144)\/30).\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 12 + 0 + 3042*t**2 - 7.\nAnswer: 3042*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/32922 and -11\/10974.\nAnswer: 32922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 g when three letters picked without replacement from gvgggvgvgvgvv?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 29665*n + 889935. Calculate p(-30).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + (-9)\/(-4))*1. Which is the second smallest value? (a) g (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.207 times 2\nAnswer: 0.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 18*q**2 + 14*q + 56. Let r be s(17). Solve 20*u = 19*u + r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70*i*o**2*u - 2*i*o*u**2 + 176*i*o*u - 4*i*u**2 + 2*i - 3*o**2*u**2 + 7*o*u + 8738*u**2 + 4*u + 12 wrt u?\nAnswer: -4*i*o - 8*i - 6*o**2 + 17476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -58, 25.2, 2, -3\/5, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 237, 284, 369, 498, 677, 912, 1209?\n\"Answer: w**3 + 13*w**2 + w + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 823*b + 110 - 1792 - 2610 + 1000 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9715450 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30465 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 8*q**3 - 5*q**2 - 5*q - 5. Let k be s(-11). Let i = -25203 - k. Round i to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 4*t - 255886, 2*t - 383781 = -58*d + 55*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/3 + 47072*i\/3 - 92536430\/3.\nAnswer: -2*(i - 21371)*(i - 2165)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -207*c + 116. Suppose -132 + 370 = -14*j. Is b(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.8663602nm?\nAnswer: 0.00000008663602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*u = 301241, 9 = 2*u - 5. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 + 58. Suppose g = 5*t + 3 + 7. Let h be 22\/187 - t\/(-17). Solve -2*i + 4*v + 2 = 6*v, 5*v + 10 = h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 34 (b) -4 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37\/520 + -9\/40. Let r = 3.2 + -3.5. Sort r, v, -2 in descending order.\nAnswer: v, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2 + sqrt(1216) - sqrt(1216) - sqrt(1216)) + 2 + 5 + 4 + -1).\nAnswer: -24*sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from lllllzezlzlzlzzllezl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -26. Let k(q) be the first derivative of -3*q**3 + q**2 + 5*q - 1. Let v be k(x). What is v rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 99\/(-66)*16\/(-6). Let d(h) = h**2 - h + 1. Let r(q) = 3*q**2 - 3*q + 5. Give c*d(a) - r(a).\nAnswer: a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -639, -1458, -2605, -4080, -5883?\nAnswer: -8014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20978*k**2*p**3 + 1345598*k**2 + 5*p**3 wrt p.\nAnswer: 62934*k**2*p**2 + 15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 11664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190956 is divided by 2202.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 11*y**2 - 18*y.\nAnswer: -y*(y - 9)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prp when three letters picked without replacement from xpmjmmr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.6 (c) 33 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.5558 + 1.45.\nAnswer: 6.0058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 23 (b) -0.5 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 10029 - 2831. Round m to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*p + 4 + 9*p - 19*p - 6532*p**2 - p**3 + 6530*p**2 - 6 to m + k*p + j*p**2 + y*p**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6308293?\nAnswer: 47, 134219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - m**2 - 36 + 8 - 11.\nAnswer: -m**2 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14\/5 - 37\/15. Which is the biggest value? (a) -3 (b) p (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a + 6*a - 11*a + 5*a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**3\/6 + 3*c**2 - 27*c. Let r be y(12). Let w(l) = -2*l + 8. Give w(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*j + 107*j + 483 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -735*z - 819*z + 3953*z - 798*z - 806*z - 802*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 3*m**4 + 4834*m**2 - m + 24*m**4 - 4835*m**2 to b + v*m**4 + t*m**2 + w*m + g*m**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1452 by -484.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, -2, 2871, -28, -5\/6, -0.4, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -175440.12 rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j**2 - 39*j**3 + 556 - 557 + 148*j**3 as l*j**3 + q*j + r + b*j**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4295 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*j - 1331*j**3 + 2*j + 2 + 1331*j**3 - 3*j**4 - 9*j**2 to g*j**4 + o + a*j**3 + y*j + f*j**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/6*540\/150. What is the nearest to -0.4 in -0.4, -0.04, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -499*m**3 - 1 - 2*m - m**2 + 11*m + 502*m**3 as x*m**2 + v*m + z + d*m**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6278, -6463, -6648, -6833, -7018, -7203?\nAnswer: -7388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -72.561 + -0.439. Let f = u + 73.2. Which is smaller: f or -7\/15?\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -3*(-68)\/12 - 5 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4 + 0 = 0, -251 = -3*w - o. Calculate the greatest common factor of w and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.9 or -324\/5?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**3 + 4*g**2 + 5*g - 5. Let i(s) be the second derivative of 3*s**5\/20 + s**4\/4 + 2*s**3\/3 - 2*s**2 - 18*s. Determine 4*f(j) - 5*i(j).\nAnswer: -3*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11683588?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 929 + -230. Suppose 0 = 707*b - n*b - 16. Factor -2\/7*r**b + 0 + 8\/21*r**3 - 2\/21*r.\nAnswer: 2*r*(r - 1)*(4*r + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -512748 to the nearest ten thousand.\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-242)\/(-244) + -1)\/(-3). Let b = 1088\/61 - l. Let m = 31303\/16 - 1953. Find the common denominator of b and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 101?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 919 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 1:19 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**4 + o**4 + 3*o**4)*(-2 - 2 + 2) + 3*o**4 - o**4 - 5*o**4 + (4*o**4 - 3*o**4 + 0*o**4)*(2 - 4 + 0).\nAnswer: -17*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = 2*r, -4*r = 1 - 9. Suppose -5*o + o + k = -c, 4*k + 4 = -5*o. Let t be (6\/2)\/(-3)*o. What is t rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 3*v = -48, 1984*p - 8*v + 128 = 1982*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -492a (base 14) to base 13\nAnswer: -5a7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 22*l - 186. Let q(z) = 9*z - 93. Give 10*q(k) - 4*x(k).\nAnswer: 2*k - 186","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3063\/13613 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 145046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u + u + 2*u)*(0*u**2 + 0*u**2 + 2*u**4) + u**5 - 3*u**5 + 3*u**5.\nAnswer: 19*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2062 - 2067. What is the closest to -0.1 in 0.5, 4, z, 9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -10*g + 396. Let o = g + -70. Put -3, -1, 2, o in decreasing order.\nAnswer: 2, -1, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5292)\/660 + 8)\/((-1)\/10). Which is the closest to -1? (a) j (b) 5 (c) 0.5 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 9) to base 10.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9680119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -4.8, 0?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5378639925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, v: 4, u: 3, i: 2}. Give prob of sequence uuv.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 536961 and 536958 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 7:20 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2786078 - 2630111. Let w = 5416101.99811 + y. Let i = 87 + w. What is i rounded to 4 decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -457 or -215940\/473?\nAnswer: -457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -2848, 4, 699 in decreasing order.\nAnswer: 699, 15, 4, -2848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffllffllffffllffl. What is prob of picking 4 l?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1647 and 9577?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.001, 1\/8, 1, -28?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2077.65 millennia?\nAnswer: 207765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/4 and -89\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -536512155*z**2 + 626498725*z?\nAnswer: -1073024310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -114 - 112. Let w = -126 - y. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -47 (b) -0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-4))\/((-3)\/8))\/((-24)\/9)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 30 = -0*t. What is the least common multiple of t and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 7:42 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 9:44 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*q - 1, 4*l + q = -0*q + 23. Find the second derivative of 6*w - 3*w**l + 3*w**5 - 3*w + 6*w**5 wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.5 and -1.1418.\nAnswer: 0.3582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2415\/11 - -19925\/88. Let t = 344 + 34. Calculate the common denominator of t\/160 - (-9)\/45 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k + 52*k + 16*k - 74*k + 14*k.\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 419242909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 25530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 36*b + 0*b**2 + 2*b**2 + 19 - 53. Does 23 divide t(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a. Let n(o) = o - 19577701. Calculate n(w(c)).\nAnswer: 3*c - 19577701","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + 54. Which is the closest to 3? (a) -3 (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -40000*b. Let k be t(-3). What is k 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 -10000011111010 (base 2) in base 3?\nAnswer: -102120200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.041138005 + 0.04112. What is r rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.7 (b) -2\/39 (c) -253\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -4 + (-2 - (16 + -96 + -15)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(132)\/sqrt(108)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13055133 (base 6) to base 11\nAnswer: -272226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = -9*s + 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 + 16*d**2 - 7*d - 19. Let q be u(13). Round q to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 672 (c) 0.3 (d) 784 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o - 2*o**3)*(o**2 - 2*o**2 + 3*o**2) + o**5 + 5*o**5 - 5*o**5 + 0*o**5 - 11*o**5 + 0*o**5.\nAnswer: -14*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 + 5*i**2 + 5*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 8:59 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -7*g + 38. Let l be x(5). Solve r - l = -5*m, 3*r + 12 = 2*m - 2*r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33084 = i + 5*j, 10*j - 15*j = -3*i + 99352. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 5 - 2*b - b - 4*b + 2*b + 0*b + (1 + 5 - 3)*(-1 + 2*b + 1) as j*b + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbggbgggwwgb. Give prob of sequence gb.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000010011 (base 2) to base 6.\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 2:34 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 l when three letters picked without replacement from lhlrvvvwlrvvrve.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**(3\/7))\/l)\/l)**21)**(-31) assuming l is positive.\nAnswer: l**372","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235 - 278*w - 75 + 310.\nAnswer: -278*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 524494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1734275.2400006 + -1734275. Let x = -0.46 - -0.7. Let b = x - j. What is b rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9dec - 1?\nAnswer: 9deb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1653*p**2 + 1425*p - 1. Is u(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 80*b**2 - 1579*b - 194. Calculate x(36).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qdrrrdddvridnrdv. Give prob of picking 3 r and 1 d.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0, -1.96 in ascending order.\nAnswer: -1.96, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 9*a**2 + 4*a + 123. Calculate the lowest common multiple of 72 and i(-8).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1199316?\nAnswer: 2, 3, 17, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -22*q - q**2 + 55*q - 27*q + 2 - q. Suppose 2*y + 5*h = 3, -14 + 0 = -4*y - 2*h. Determine i(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 m, and 1 t when three letters picked without replacement from aoaototaomtaaoooooop.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -44862, -36763, -23264, -4365, 19934, 49633, 84732?\n\"Answer: 2700*m**2 - m - 47561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 201*q. Let b(f) = 2*f - 3. Determine a(b(k)).\nAnswer: 402*k - 603","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/70*8\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-6)*(-24)\/(-80). Factor -1\/2 - b*k + 1\/4*k**2.\nAnswer: (k - 2)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373587983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d + 9794 = 0. Let m be 1 - d - (-2)\/1. Round m to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 670 - 607. What is the lowest common multiple of 77 and b?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28.46 - -28. Round j to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/20)\/((-264)\/2640)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 266 and -4*6\/((-408)\/24871).\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -146\/5 (b) 3481.3 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 8*a + 11*a - 100 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (-114 - ((45 - 12) + -59))\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.245 - 0.154. Let i = 0.209 + y. What is the fourth smallest value in -6, -1\/5, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 17*f + 12. Let m(u) = -32*u - 23. Let k(c) = 3*m(c) + 5*x(c). Let g(s) = 5*s + 5. Determine -5*g(o) - 2*k(o).\nAnswer: -3*o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9350\/19 less than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**3\/2 + 3*f**2\/2 + 7*f. Suppose 15 = -3*b + 6*b. Calculate the remainder when 35 is divided by o(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*s, -f + 6 = 2*f. Suppose 13 = -v - 4*m, -4*m - 24 = -2*v - 14. Put s, v, -4, 0 in increasing order.\nAnswer: s, -4, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - (-3*2041 - 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 22012 = 3*o - 2*k, 2*o + 2*k = -14672. Let s = 37725 + -1385. Let w = o + s. What is w rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46610 and 154129.\nAnswer: 90936110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/31 and -24\/107.\nAnswer: 3317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106 and 531378?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3589 = -4*v - 421. Suppose -5*a = -2*a + v. Let j be a\/(-9) + -3*4\/36. What is the highest common divisor of j and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/14 + (-15114)\/(-77) + -1. Which is smaller: 196 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -12*c**4 + 483*c**3 + 225*c**2 - 3279*c + 1932. Let x(j) = j**4 - j**2 + j + 4. Let z(v) = -r(v) - 3*x(v). Solve z(q) = 0 for q.\nAnswer: -3, 2\/3, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102 - 109. List the prime factors of (-2)\/t + ((-9896)\/28)\/(-2).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88680 divided by 15\nAnswer: 5912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3203110 - 2?\nAnswer: 3203102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(208) + 2*sqrt(13)*-1.\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.15 + -21.15. Let h = d - -21.03. Let k = h + 0.83. What is k rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699463497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 5176403 + 17*v - 9*v - 2588200 - 2588203 - 13*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0098907 rounded to four decimal places?\nAnswer: 0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 69*f - 22*f - 7708 for f.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4378428 and 4.\nAnswer: 4378428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(5\/2)\/d)\/(d**(-2\/9)*d))\/(d*(d\/d**(-2\/3))\/d)**(-37))\/(d*d*d**(-7\/5)*d*d**10)**(-15\/8) assuming d is positive.\nAnswer: d**(3029\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 6:57 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**2 + 5*f. Let x(s) = s**2 - s. Determine m(w) + 6*x(w).\nAnswer: 3*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 76080.75 centimeters?\nAnswer: 0.7608075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**4*r + 1951*p**4 + 31*p**2*r - 2*p*r - 100852*p wrt p?\nAnswer: -36*p**2*r + 23412*p**2 + 62*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -480 + 481. What is the third derivative of 8477*f**2 - 93*f**3 + 1 - m - 8419*f**2 wrt f?\nAnswer: -558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 32*x**2 - 2*x + 6. Determine t(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 31*j**2 + 33*j - 11. Let b(h) = 10*h**2 + 11*h - 4. Let l(f) = -11*b(f) + 4*s(f). Find the second derivative of l(m) wrt m.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -138234607*d**2*g**2 - d**2*g + 11*d**2 + 70*d*g + g**2 + 54906 wrt g.\nAnswer: -276469214*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13892\/2 + ((-24)\/(-8) - 13). Calculate the highest common divisor of c and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12067, -24173, -36303, -48463, -60659, -72897?\n\"Answer: -v**3 - 6*v**2 - 12081*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/19, -2556\/11, 0 in decreasing order.\nAnswer: 0, -8\/19, -2556\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 7*z - 4*x = -29, -3*z + 2*x = 19 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.8096*-7.\nAnswer: -201.6672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46951 - -81092. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7498456 is divided by 681677?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ck when two letters picked without replacement from ckkcckkkck.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by 1\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -7*h + 1. Let r be l(-1). Suppose w + 2*k - r = 6, -5*w = -k - 81. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 9 + 2)*(0*f - 5*f + 3*f).\nAnswer: -42*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-15))\/(12\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**5\/20 - 7*b**4\/12 - 7*b**3\/6 + b**2\/2 - b. Let y be l(8). What is the remainder when 22 is divided by 35\/3 - (-3)\/y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**22\/i**4*(i\/i**11)\/((i\/(i*i**(1\/9)))\/i) assuming i is positive.\nAnswer: i**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -610, -1225, -1838, -2449, -3058, -3665, -4270?\n\"Answer: n**2 - 618*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7577215?\nAnswer: 5, 113, 13411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0\/(k\/(k**7*k)*k*k*k))\/((k\/k**(-6))\/k**5))**8 assuming k is positive.\nAnswer: k**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**2 + 80*p + 75 = 0. What is p?\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-9))\/(1\/3). Calculate the remainder when 104 is divided by 12\/(-8)*b\/(-6)*-21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.2855 - -0.2855. Which is the closest to 3.7? (a) -5 (b) -0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192862091?\nAnswer: 59, 3268849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71804 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -2*b + 18, 3*b = 5*s + 3 - 1. Suppose -51980 = -4*x + b*n, 0 = 3*x + n - 0*n - 39005. Round x to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 762817411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1952 (b) -5 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = i + 3*i + 4, h = 5*i + 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23 (b) 2\/9 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10952 minus 5?\nAnswer: -10957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 120648996 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 515431 - 515434 - 798*a - 258*a + (-4*a + 4*a - a)*(-2 + 2 + 1) as r*a + d and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4009190308?\nAnswer: 2, 17, 157, 375533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -30*g**3 - 4616*g**2. Let z(b) = 7*b**3 + 1154*b**2. Calculate -2*s(y) - 9*z(y).\nAnswer: -3*y**3 - 1154*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 5*w**2 + 3. Let r be p(5). Suppose 2*c = -0*c - 6, r*s = -c + 1881. Let z = s + 169. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-70)\/(-240)*4)\/((-14)\/(-16)). Find n, given that -a + 2*n + 0*n**2 - 2\/3*n**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/40 - (-13)\/(-52)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-6*(sqrt(99)*-2 - sqrt(99)) - (-3*(-2*sqrt(99) - sqrt(99)) - sqrt(99))))\/(sqrt(441)*2*5 - -4*(sqrt(441) + sqrt(441) + sqrt(441)*-2)).\nAnswer: -6*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 12 = 4*c - 4*n, -n - 3 = -c. Suppose -3*f - 18 = -c. Let x(g) = 2*g**2 + 6*g. Is 18 a factor of x(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*u - 324 = 0, m + m + 3*u = 317. Let r be 83\/5 + (-8)\/(m\/12). Solve 4*a = 16, c - r = 5*c - 5*a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20\/8*-8*-1 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 28*m**2 - 30*m - 19. Let k be c(-29). Solve 3*u - 1 + k = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 59*k - 57*k. Suppose -965 = 4*i - 3*a, i + k*a = -2*i - 729. Let c = 342 + i. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2*q + 38150, 4*k - q = -6771 + 37294. What are the prime factors of k?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u + 1. Let n(f) = 12*f + 20*f - 35*f. Give -2*d(y) + 3*n(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**4\/7 - 6495*d**3 + 1046922*d**2\/7 - 5464512*d\/7 - 6556896\/7 = 0 for d.\nAnswer: -15178, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 86059, 172159, 258299, 344485, 430723, 517019?\n\"Answer: a**3 + 14*a**2 + 86051*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 119 + 87 = 0. Let o = g + 568. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/129163426 and -139\/32268?\nAnswer: 774980556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 8 + 5*a**4 + (-4 + a + 4)*(18*a**3 + 0*a**3 - 7*a**3).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2374*z**2. Let b(l) = -310697*l. Determine b(q(i)).\nAnswer: 737594678*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42424085 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4487 + 4499. Calculate the highest common factor of o and 4188.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 7*p**2 + 27*p - 18. Let b = -48 + 80. What is the least common multiple of b and d(-10)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3 = 4*r. What is the third biggest value in 0, r, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (72\/(-15))\/4 + 1. Let t = -355.5 + -60.5. Let q = -417 - t. What is the nearest to q in 1, p, -14?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 16*j**2 + 60*j - 27. Let i be k(-8). Which is the third biggest value? (a) 1.8 (b) -3 (c) -0.2 (d) i (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-22)*((-8)\/34)\/1.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**27*(l\/l**(2\/3))**(-2\/7) assuming l is positive.\nAnswer: l**(1132\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, 0.2, 0.01 in decreasing order.\nAnswer: 0.2, 0.01, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3539 = -3*p + 8548. Does 17 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1317983 and 462223?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6430015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34474510463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u - 7. Let q(w) = -1. Let h(v) = -c(v) + 5*q(v). Suppose 0*a + 2*a = -2*n - 12, 14 = -5*n - a. Calculate the remainder when 46 is divided by h(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 22. What is the highest common factor of 52 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 17 + 78 + (0 - 1 + 3)*(3 - 2 + 0))*(-3 + 4 + 1)*(0*f**2 - f**5 + 0*f**2).\nAnswer: -192*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 16, g: 2}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000024185 rounded to 7 decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 365002 - 3?\nAnswer: 364999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62291998 is divided by 716.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4214 (base 6) to base 13.\nAnswer: -57a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.879 to two dps.\nAnswer: 3.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 - 65*m - 305. What is w(-26)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167879 is divided by 33506?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*f = -2*f - 136 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22 + 4?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.02 (b) 1\/2 (c) -2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*u = -96*u - 38*h - 8, u = h - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 12 = -2*w, 7*w + 3*m = 53 - 26 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 7*g**2 + 3*g + 37. Let d be z(-7). Calculate the greatest common divisor of 56 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwfqkwq. What is prob of sequence fwwk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 59316099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005446 to 5 decimal places.\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35220 and 31440.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56346 - 0?\nAnswer: -56346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 6. Calculate i(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 - 21 - (88 + -155)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1340, -1355, -1366, -1367, -1352?\nAnswer: -1315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4152 - 2713. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 36 = -2*p, p + 18 - 6 = 5*s. Let w be 2 - (-2 - -4 - -1). Let k be 0 + 8 + 1\/w. Solve -5*x = -k - p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -23\/5, 193\/5, 2?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in seconds?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 16*o**2. Let g(t) = 7868294*t**2. Determine s(g(a)).\nAnswer: 990560807526976*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, -111, -0.2?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -7*o**3\/3 + o**2 + o - 839. Let t be (-10)\/(-35) - (-52)\/14. Let c be (-7)\/t + 9\/12. Determine y(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1119 and 52585167?\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Are -74 and -7250\/97 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -2, 208.\nAnswer: -4, -2, 5, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*n = -7 - 5, -24 = 4*k - 4*n. Let v(i) = 1. Let a(d) = 4*d**2 - 2. Calculate k*v(q) - a(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-77)\/(-3) + 7\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**3\/3 - 3*q - 133. Calculate b(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*p + 118*p - 72*p.\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -7. Let t = 12 - w. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -1 (c) -2\/31 (d) -37\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by 360355.\nAnswer: -44\/360355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -7*y + y. Suppose 132 = -y*k + 3*k. Is 23 a factor of k*1\/(-2)*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 4*o - 17, -o + 9 = 4*l - 13. Let k be (-1)\/l - 33\/(-15). Let j(s) be the first derivative of -3*s**2 - 12446. Determine j(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6226810 (base 9) to base 12\nAnswer: -1144169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 1160*j - 4196. Let t be h(5). Sort -6, t, 0 in decreasing order.\nAnswer: t, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by (2 - (-24)\/(-9)) + 56\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 62.26823 or 0.1?\nAnswer: 62.26823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + 5)\/(-1) - (-2)\/6. Factor -2\/3*v + v**2 - x.\nAnswer: (v - 1)*(3*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -7e?\nAnswer: -7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 819874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 31 - 94 + 6*u + 28.\nAnswer: 6*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.41 > -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50791?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -3) + (-1 + 6 - 10) + 9\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 12) to base 2\nAnswer: 10101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - (-128)\/(-20))*-10. Let h(c) = 22*c**2 + 11*c + 11. Let q(o) = 7*o**2 + 4*o + 4. Give n*h(p) - 11*q(p).\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**1*b*b\/(b*((b**(-5)*b)\/b)\/b*b)*(b\/b**(-1))**(6\/5) assuming b is positive.\nAnswer: b**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 1441080.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -66, -2 in decreasing order.\nAnswer: -0.4, -2, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 3*i**2 + 3. Let t be g(3). Let u be (-2)\/t - 96\/(-9). What is the least common multiple of 1 and u - 0 - (-1 + 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 + 5 - (1 - -3) - (38 + -26 - 0).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/450785 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-5)\/(-1)*-1. Let f(l) = r*l**2 + 0*l + 0*l. Let o(y) = 6*y**2 - 5*y. Let t(s) = 7*s**2 - 6*s. Let j(z) = 6*o(z) - 5*t(z). What is j(f(v))?\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21 - -65?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -404000174 - -64577?\nAnswer: -403935597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**2. Let k(c) = 8151454*c. Give j(k(g)).\nAnswer: -199338606942348*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*x**2 + 2\/13*x**3 - 12\/13*x + 0.\nAnswer: 2*x*(x - 2)*(x + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -862275903 divided by -4\nAnswer: 862275903\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3227 is divided by 1259.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - j = 0, 18*j - 17*j = 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 54 = -50. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = -0*f + 917. Let y = f - 915\/7. Let l = -0.1 - -1.1. Which is the smallest value? (a) l (b) y (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 2)*(-1 + 1 - 2) + 4 + 0 - 3 + 0 - 2 + 4)*(13*d - 29*d + 12*d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, h: 3, g: 1, i: 3, m: 6}. What is prob of sequence ghh?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + ((2 + 2 + sqrt(475))**2 - -3*(4*sqrt(475) - sqrt(475))) + 2.\nAnswer: 85*sqrt(19) + 491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**3 + 11*x**2 - 116*x - 29. Let o be m(-8). Which is smaller: 73 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005590823 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k - 45. Let c be h(-17). Differentiate 6*r**2 - 12*r**2 - 24*r**3 + 10 + c*r**2 wrt r.\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 2*k + 2*k**2 + k**3 + 6 + 10 to r*k + t*k**3 + b + c*k**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 275040 and 72?\nAnswer: 275040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2326 is divided by 114.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-61)\/(-6) - (-13)\/(-78). What is n in 0*n**2 - 8*n - f*n - 33 + 6 - 3*n**2 = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 15*w**2 + 7. Calculate the remainder when 12 is divided by s(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 654340810 divided by 5\nAnswer: 130868162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 2*n**2 + 2*n**2)*(-59*n + 137*n + 123*n)*(-3 + 0 + 5).\nAnswer: 402*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 9*r**2 + r. Let d be g(9). Let i = 15 - d. Suppose -b = -i - 4. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2088.78 - -3850?\nAnswer: 1761.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -1\/20*k**6 - 4*k + 0 + 0*k**4 - 1\/28*k**7 + 0*k**3 + 0*k**2 + 3\/20*k**5. Factor z(n).\nAnswer: -3*n**3*(n - 1)*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -2\/52161 (c) 2\/9 (d) 2 (e) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/6 and 4*(-1 - 178\/(-196))?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/22800 and 53\/1216.\nAnswer: 91200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 54472?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksssrsrkk. What is prob of sequence sk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 5*m**2 + m + 5. Suppose 3*q + z + 18 = 0, -q + 4*q = z - 12. Let y be i(q). Suppose y = 2*n - 16. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + g + 13, 2*g + 4 = 4*z - 2*g. Let w = 0 - z. Suppose 48 + 6 = w*n + 2*d, -3*n - 4*d + 33 = 0. Calculate the greatest common divisor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**2 - 422564*i - 1690320 = 0?\nAnswer: -4, 105645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120396 is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 160188\/2790 - 16\/(-120). Let c be (3857\/(-248))\/((-45)\/156). Let n = c - y. What is the common denominator of n and -17\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 4*v - 10. What is the remainder when 114 is divided by g(3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 l when two letters picked without replacement from {f: 3, l: 1, q: 6, u: 2, t: 5}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + 76838*l + 1383761. Determine k(-18).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/170305 and -46\/851525.\nAnswer: 851525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110738*w**6 - 6956*w**2 - 4*w.\nAnswer: 13288560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1202*a - 1203*a + 4*v - 8, v = -5*a - 40 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -301, 2 in descending order.\nAnswer: 13, 2, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*j)*(0*j**2 - 4*j**2 + 549 - 576) + (2*j - 2*j - 2*j)*(-1 + 0 - 1)*(3*j**2 - 3*j**2 + j**2).\nAnswer: 12*j**3 + 54*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 981 (base 11) to base 7\nAnswer: 3302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.449*-0.3.\nAnswer: 0.1347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -1\/60*t**5 + 5*t**2 + 4\/3*t**3 + 0 - 2\/3*t**4 + 0*t. Is n(-14) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4210 (base 5) to base 10.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j - m = 89, 8 = -4*m. What is the remainder when j is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -11. Is 1 - (o - (0 - -76)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8) - (-162)\/24. Suppose -2*j - 5 = i, 2*i - 3*j - o = 4*i. Let q(x) = -x**2 + 7*x - 6. Let m be q(6). Sort 2, i, m in decreasing order.\nAnswer: 2, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(1\/8)))\/b**(-4))\/(b\/b**(-2\/3))**(-2\/113) assuming b is positive.\nAnswer: b**(11267\/2712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2. Let f(r) = 18594*r. Give c(f(n)).\nAnswer: 691473672*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1082 - 340 = 0. Let h = 1020 - a. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78544710283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-2)*t*t)**(-4\/5)*t**(-2)\/(t*t**(-1\/6)*t*t)*((t\/t**(-2))\/t*t**(6\/13))**24 assuming t is positive.\nAnswer: t**(20531\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 661292 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-39)*(-54)\/72?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p + 3*p - 7*p)*(-2 + 3 + 4) + (0 + 0 + 2*p)*(6 + 1 + 1)*(-1 + 3 + 0))*(-2*p**2 - p + p).\nAnswer: -34*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (4 - -2)) + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 90.8, -0.5, 25\/2407 in decreasing order.\nAnswer: 90.8, 25\/2407, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -110. Let u(k) = -v*k - 9*k**2 + 52*k + 74*k. Let r(z) be the first derivative of 4*z**3\/3 - 3*z**2 + 5. What is -13*r(g) - 6*u(g)?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + b. Let t be i(1). Suppose s + 4*l - 20 = t, l - 1 = -3*s + 4. Sort s, 0.2, 0.3 in decreasing order.\nAnswer: 0.3, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 1:20 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -510 - -518. Let x(l) = 7*l - 46. What is x(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16645626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9527 - 2*g**2 + 9*g**2 + 9162.\nAnswer: 7*g**2 - 365","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20542325?\nAnswer: 5, 19, 59, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.102, 1\/2, 0.3, -2?\nAnswer: -0.102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75985 - -151971\/2. Let n = 2\/42301 - 163154987\/634515. Let d = -257 - n. Sort d, g, -3 in descending order.\nAnswer: g, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -14 (b) -5 (c) -3\/5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*p, 0*g - 3*p - 13 = -g. Suppose g*u - d - 20 = 3*d, 3*u + 2*d - 20 = 0. Let w be -3*((-14)\/u + 2). Solve f - 2*f = -w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 320348907 to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c0 + 4?\nAnswer: -2bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1009*i + 2. Let m(u) = 505512*u + 1003. Calculate -1003*g(y) + 2*m(y).\nAnswer: -1003*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 520797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -970, -2195, -3428, -4669, -5918, -7175, -8440?\n\"Answer: -4*d**2 - 1213*d + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103 + 235. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whwqawawanaa. What is prob of picking 1 n and 1 h?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 0.1906, 0.405?\nAnswer: 0.405","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108 + -95. Let g(y) = y**2 + 10*y + 9. Let z be g(-7). Let k = u + z. Let j(o) = 6*o. Determine j(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 z, and 1 n when three letters picked without replacement from uznzzppzzupuuuyzu?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h + 4*h - 3*h + (-1 + 2 - 2)*(-10*h + 4 - 4) + 3*h - 4*h + 3*h + (-2*h + 3*h + 0*h)*(5 - 2 - 1) - 2*h - 2 + 2 + (3 + 0 - 4)*(3*h + 0*h + 2*h).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 135*z**2 - z. Give t(-1).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 9. Suppose -x + 6 = 3*u - u, -5*x - 12 = -p*u. Let j(d) = 2*d**3 + 3*d**2 + 0*d**3 + 3*d**2 - u*d**3. Give j(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145894846.\nAnswer: 2, 59, 1236397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*k + 7. Calculate the remainder when 1\/((-2)\/k*2\/31) is divided by (-180)\/(-22) - (-8)\/(-44).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.468 + 0.032. Put -0.01, -43, -2\/9, y in descending order.\nAnswer: y, -0.01, -2\/9, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*w**2 - 6*w**2 + 0*w**2.\nAnswer: -65*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 11 - 3 = 0. Let d = -13 + u. Let v = 29 + d. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10246 and 9964?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkjkkkjkkkkkkkkkkj. Give prob of picking 3 k.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5 - 126398*u**4 + 2021564*u**3 + 18448764*u**2 + 42458562*u + 26157762 = 0.\nAnswer: -3, -1, 23, 63183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -14*w. Let z(x) = 2091*x**2. Determine z(l(q)).\nAnswer: 409836*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjg. What is prob of sequence rg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 - 3*u**3 - u**3 - 3 + 2*u**3 + 3 + (5 + 1 - 4)*(-2*u**3 - 3*u + 3*u) + u**3 + u**3 + 5*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-five halves of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237863941.\nAnswer: 7, 33980563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 98, 92, 62, -4, -118, -292, -538?\nAnswer: -868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13407\/7 + -1915. What is the nearest to n in 0, -7.8, -2\/5, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + g + 12 = 0, -11 = -5*h - g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-7))\/(-5)*-1. Let f = 0.01 + 0.15. Let p = f + -0.14. What is the nearest to 1 in p, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -586891 = -87*p + 377330. What are the prime factors of p?\nAnswer: 11083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -d - 0*d. Let k(y) = -224*y + y**2 + 208*y - 8 + 29. Let h be k(d). Solve -4*i + h*i = 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -141?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -88 + -58 + 278 + -69.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -152 - -155. Suppose -y = -3*y + z*r + 15, 0 = -3*y - 2*r - 10. Put y, -66, -3 in descending order.\nAnswer: y, -3, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 661191*r**2 - 395547.\nAnswer: 1322382*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6031644 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -9*w**3 + 3 + 9*w + 3 - 2*w**2 - 2. Let t(y) be the third derivative of y**6\/120 - y**4\/24 - y**3\/6 + 2*y**2. Let k(h) = -g(h) - 2*t(h). Factor k(l).\nAnswer: (l - 1)*(l + 1)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1701 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102 + 92. Let c(l) = 12 + l + 4 - 5 + 0. Calculate c(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/6)\/(2\/678). Round d to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -1 (c) -17 (d) -3\/2 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23529 is divided by 253?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 23 + 38*v)*(1 + 0 - 4) + 2*v - 6*v + 2*v + (-2*v - 2*v + v)*(2 - 4 + 0).\nAnswer: -110*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000279505 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 10:06 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(704) + (sqrt(704) - sqrt(704)*2) + -4 + sqrt(704) + 1 + -2)**2.\nAnswer: -144*sqrt(11) + 785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**2*z**2 + 119*c**2*z + 724*z**2 wrt c.\nAnswer: 6*c*z**2 + 238*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 35. Suppose 24*a = 21*a + p. Suppose -10 = 3*x - 4, -66 = -a*n + x. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1690 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 5*l + 2. Let c be x(-4). Let n be 4\/(1*3\/c). Let u = -1 + n. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 10 = 3*i, -3*i + 2*v - 6 - 11 = 0. Let s(c) be the first derivative of -c**4\/4 - 2*c**3 - 3*c**2 + c - 512. Calculate s(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 11*h - 22*h + 1)*(1 - h - 1)*(20*h**3 + 9*h**3 + 6*h**3).\nAnswer: 1155*h**5 + 70*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*z = 10701, 28*z - 6415 = -3*a + 27*z. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-519)\/(-2249) - (-88)\/13?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 0*v - 9*v**2 + 0 + 1\/12*v**4 + 1\/2*v**3. Determine m(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-22)\/33)\/((-4)\/(-42)). Let i = -186 - -126. Does 2 divide i\/(-28) + 1\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390 - 4209 = -27*y - 40*y. Calculate the remainder when y is divided by (0 - 95)\/(-5)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*z - 8*z - 17 - 14*z - 8*z - 13*z.\nAnswer: -8*z - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, n: 2, o: 4, z: 1, r: 4, j: 1}. What is prob of picking 1 x and 1 z?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1620 divided by 135\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -109159 divided by 74\nAnswer: -109159\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4 (b) -1 (c) -0.1 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3260\/41, 2, 0.3, 0, 5 in decreasing order.\nAnswer: 3260\/41, 5, 2, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w. Let l(v) = -5*v + 55. Let a = 20 + -18. Let z(y) = 1. Let t(s) = a*l(s) - 110*z(s). Give f(t(i)).\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + 133?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301 = -5*g + 4*i + 249, g - 119 = -i. Suppose -p + g = -35. List the prime factors of p.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 9586.3\nAnswer: 28758.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12209 + -12313.27. Let n = m + 104. Let u = -0.26943 - n. What is u rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, 24, -576?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114 + 189. Suppose -3*a = 2*x - 710, -5*a + 0*x = x - 1181. Let k = a - o. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32)\/3*(-9)\/(-6). Let l be n\/42*3\/(-4). Suppose -2 = -3*m + 7. Put l, m, 2\/5 in ascending order.\nAnswer: l, 2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 3 = 12*o - 8*o, x + 2*o - 3 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -111*m - 102*m + 3 - 3*m**2 + 202*m + 4*m**2. Let h(f) = -f**2 + 6*f - 2. What is -5*h(c) - 3*q(c)?\nAnswer: 2*c**2 + 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/18 and 47\/274.\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oii when three letters picked without replacement from {r: 4, n: 1, i: 5, j: 1, o: 4}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n = 23*n + 6. Solve 0 = n*c + 2 - 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**2 - 7*w + 2. Let y(t) = t**3 - 4*t**2 - 8*t + 2. What is -4*r(m) + 3*y(m)?\nAnswer: 3*m**3 + 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**5 + 91*i**4\/2 + 93*i**3\/2 - 5881*i**2\/2 - 4417*i\/2 + 735 = 0. What is i?\nAnswer: -15, -14, -1, 1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/14 and 73\/317370682.\nAnswer: 2221594774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, -7.06, 34.5, -0.05, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001117408 to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**19\/x)\/x*x\/(x*x\/(x\/(x\/x**(-35))))*x*x*x**(15\/8)*x*x**(-12\/11) assuming x is positive.\nAnswer: x**(-1339\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/5 (b) 95 (c) 984 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**3 - 10*k**2 - 12*k. Calculate the lowest common multiple of l(-2) and ((-8)\/(-4))\/((-1)\/(-16)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*p + 588 = -98*b + 179*p, b - 4*p = -p - 6 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 3) in base 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4)*v**0*v**7*v*v**(1\/10)*v)\/(v**(8\/3)\/v*v**(-2\/11))**(-27\/4) assuming v is positive.\nAnswer: v**(2131\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnccbcncccbbncnncn. Give prob of sequence bcc.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 728 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 divided by 12?\nAnswer: 49\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 5:41 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -582.798577 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 296, 353, 410, 467?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-12 + 4 + 7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 603*i + 4009. Does 5 divide q(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -133, 5, 3, -2 in decreasing order.\nAnswer: 5, 4, 3, -2, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1944*d**2 - 5*d + 4. Let v be x(-3). Suppose -2*g = g - 5*c - v, 5*g - 29179 = 2*c. Suppose -3*t - g = -8*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1427, 1445, 1475, 1523, 1595?\n\"Answer: a**3 + 11*a + 1415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 144 + 139 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from clcccccscjljccjj. Give prob of picking 1 l and 1 c.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Let g = 79 + -26. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(68) - sqrt(425)*-4)**2*1.\nAnswer: -132*sqrt(17) + 8237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mthy when four letters picked without replacement from yhghtttmghg.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 2:24 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 8*o - 1. Let l(y) = 2*y**3 - 85*y**2 - 41*y - 85. Let i be l(43). Calculate f(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, k: 2, q: 6, w: 1}. Give prob of picking 2 h.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.162\nAnswer: -0.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -q - 7, 5*q - 15 = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720))**2 + 4.\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**2 + c. Let d be y(-1). Let t be (10\/(-4))\/((-15)\/6) + -1. Solve -5*k = 4*u - 14 - 13, d*u + 4*k - 21 = t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82\/1476*(-60)\/(-8).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 131 - 653\/5. Let i = 1.1 - 0.3. Is i >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 29. Suppose -x + 5*m = 11, -5 - 1 = -2*x - d*m. Let k be (23 + -22)\/((-1)\/5*x). Solve w - k*f + 3 - 2 = 0, -2*f = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2353874 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.187331 millimeters in centimeters?\nAnswer: 0.8187331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1109, 1106, 1101, 1094?\nAnswer: 1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95838, -95907, -95984, -96069, -96162, -96263, -96372?\nAnswer: -96489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34214 - 30358. What is the greatest common factor of f and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 32 = -4*g, 4*v + v - g + 24 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**2\/2 - 19353*c\/2 + 42903630 = 0. What is c?\nAnswer: -9471, 3020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2188.4 and -3347.\nAnswer: -7324574.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1162186 and 492?\nAnswer: 6973116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 1)\/((-3)\/4). Let c be ((-1)\/y)\/((-2)\/(-40)). Suppose 2390 = -0*j + c*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*l + 231*l = -108*l - 13363 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126390454*p**2 - 3987529*p + 1 wrt p?\nAnswer: -252780908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -5) + 4 + 1 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {l: 2, g: 4, m: 1, h: 2, z: 1, c: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 471 + 170*n + 196*n + 203*n + 164*n - 787*n.\nAnswer: -54*n + 471","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809571 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**4\/36 + 2*b**3\/9 - b**2\/2 - 15*b. Determine z so that d(z) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (16 + (47 - 105)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, y: 2, b: 1, h: 1, o: 2, x: 1}. What is prob of sequence bo?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*o = 9, 0 = 3*n + o - 4*o - 3. Solve n*i + i + 2*y = -4, 0 = -5*y - 25 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -372*l**3*y**2 - 2146*l**3 - l**2*y**2 - 133*y**2 + 247*y + 1 wrt l.\nAnswer: -2232*y**2 - 12876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 300*u. Let d(p) = p - 1099. Determine d(s(c)).\nAnswer: -c**2 - 300*c - 1099","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -0.1 (c) 0.1 (d) 1\/8 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 q when two letters picked without replacement from {k: 1, n: 3, q: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-9 - -4 - 1) - 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-76) - 71104\/(-418) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-54498)\/(-10) + (-244)\/305 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 5*u**2 + 4*u - 1. Let z(y) = y**3 - 112*y**2 - 1083*y + 49. Let r be z(-9). Calculate p(r).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18993.51377 to the nearest one hundred.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55868845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**4 + 12*j**3 - 376*j**2 + 768*j + 1152 = 0?\nAnswer: -12, -1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 152*f**2. Let u(l) = -4*l + 2. Calculate u(h(c)).\nAnswer: -608*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -10840.\nAnswer: -17\/10840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.184 less than 0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1132 < -1673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 3)*(-b + 0*b + 3*b) - 2*b - 2 + 2 + 0*b + 0*b + 2*b + (-1 + 2 - 2)*(1 + 2*b - 1) + 2 + b - 2.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346006*w - 93*w**2 + 346006*w.\nAnswer: -93*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15508 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2235, -2234, -2233, -2232, -2231, -2230?\nAnswer: -2229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 892500 is divided by 1490?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4\/7 + -19\/21. Which is the third smallest value? (a) 1\/5 (b) p (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/21, 0.8, -2\/159, -5, 1\/40 in descending order.\nAnswer: 0.8, 1\/21, 1\/40, -2\/159, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 4*h = -24. Let g(q) = -q**2 + 20*q + 67. Let l be g(23). Let s be 8\/20*(-5)\/(-8). Sort h, l, s in descending order.\nAnswer: h, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 19 - 4 + (3 - 1 - 3)*(-3 + 4 + 1))*(-11*i + 2*i + 3*i).\nAnswer: -60*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 394.3 (b) 5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*r**5 + 474450*r**4 + 199294380*r**3 + 27454826814*r**2 - 142316034195*r = 0.\nAnswer: -2117\/5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2. Let n(q) = 2*q. Let o(p) = -p. Let h(y) = 4*n(y) + 9*o(y). Give z(h(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.13, 0.40582, 0.5, -2?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46444 and 20.\nAnswer: 232220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfffhkgffk. Give prob of sequence kgk.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7*c - 13. Let z be i(-7). Suppose -2*l + 23 + 37 = -4*q, 5*q = 3*l - 88. Suppose 73 + l = 11*x. What is the greatest common factor of x and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6073330, -6073329, -6073328, -6073327, -6073326?\n\"Answer: l - 6073331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 6, b: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 16*d**2 - 2*d - 29. Let n be j(-16). Suppose -4*u = -n*u + 6190. Round u to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 122109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**5 + 6496*h**4 + 2624352*h**3 - 10575488*h**2 + 10601536*h = 0. What is h?\nAnswer: -814, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18011, -18017, -18035, -18071, -18131?\n\"Answer: -k**3 + k - 18011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-541)*183755\/(-360). Let b = -14\/541 + y. Find the common denominator of b and 49\/2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 136443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 3*s**2 - 3*s. Let v be h(-2). Suppose 0 = 2*g - v - 0. Solve m**2 + g + 1 - 4*m + m**2 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 11. Let o be s(0). Let k = o + -7. Find the common denominator of (-1516)\/112 - k\/(-14) and 1\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 3, 5\/4, 3\/23 in ascending order.\nAnswer: -1\/7, 3\/23, 5\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.0008819 milliseconds to minutes.\nAnswer: 0.000016681365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 1\/39 (c) 1\/4 (d) -0.74563\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 234450 a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2152 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in seconds?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86702979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7361867 to the nearest integer?\nAnswer: 2713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 5)*(2*h + 1 - 1) + 1 + 0*h + 0*h + h.\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.1473 - -0.2093. What is i rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-47316)\/(-102) - (-24)\/204 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*z**5 + (-z**4 + 6*z**2 - 6*z**2)*(-4 + z + 4) - 7*z**3 + 16*z**5 + 7*z**3.\nAnswer: 13*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -4*y**7\/5 + y**5\/60 - 65*y**4\/12 + 224*y**2. What is the third derivative of t(j) wrt j?\nAnswer: -4032*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 58898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29655871 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 - c + 3. Let u be x(-4). Suppose 0 = 4*z - u + 11. What is the second derivative of -g - 7*g**2 - 2*g**4 + z*g**2 wrt g?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**3 - 2*m**2 - 2. Let b(f) = -16*f**3 - 11*f**2 - f - 11. Determine 2*b(u) - 11*i(u).\nAnswer: u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 - 99 - 126 - 133 + 526 - 91 - 7*b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -388, 0 in increasing order.\nAnswer: -388, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 93551, 93606, 93677, 93770, 93891, 94046?\n\"Answer: t**3 + 2*t**2 + 42*t + 93506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 2*b**7\/105 + 13*b**6\/30 + 23*b**5\/15 + 11*b**4\/6 - 3*b**2 - b + 142. Factor v(o).\nAnswer: 4*o*(o + 1)**2*(o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 572 * 40\nAnswer: 22880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 180\/63 + -3 - 99108\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17938102999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(5 + -2)\/6. Suppose -3*g + u = 5*k, 0 = 3*g - 2*k + 4*k + 5. Let o = 2 + g. Which is smaller: o or 1\/18?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 + 7956493*o - 7956493*o - 3*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461347 a multiple of 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10706677.83 + 0.3.\nAnswer: 10706678.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1101011111 (base 2) to base 15\nAnswer: -3c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 0*c**5 - 1\/30*c**6 - 2*c**2 + 0*c**4 + 0 + 0*c - 2\/3*c**3. What is the first derivative of t(f) wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, d: 2, e: 5}. Give prob of picking 2 e.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-3)\/(-2))*9*-3*(-115)\/(-90)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/9 + 46*m**3\/9.\nAnswer: -2*m**3*(m - 23)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5955353*a = 5955777*a + 21624 for a.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 7 + (-2 - (6 - 5)) - 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 3*o + 12. Let z be p(5). Suppose 4*b + 9 = -2*f + 3*b, 5*b + 9 = z*f. Let s be (-29997 + f)*(2 + 298). Round s to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1045198.85 + -272\nAnswer: -1045470.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 14. Suppose 0*q = -w*q + 52. Let p = 19 - q. Solve -j = j + p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -548.07 + 537. Round f to one dp.\nAnswer: -11.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + (-11 - -15) - 6) + (28 - 0).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 0*l**2 - l**2 + 0 + 2 - 2*l. Suppose -5*g + 5*t - 43 = -63, 5*g - 2*t + 4 = 0. Give w(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 8283 (base 10) to base 5\nAnswer: 231113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12007, 24016, 36025, 48034, 60043, 72052?\n\"Answer: 12009*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((sqrt(132)*-1*3 - sqrt(132)) + sqrt(132)))\/(-3*sqrt(300) + -1*sqrt(300) + sqrt(300) + sqrt(300)))**2.\nAnswer: 99\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**4 - 168*k**3 - k**2 + 36*k - 507469 wrt k.\nAnswer: -4*k**3 - 504*k**2 - 2*k + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-77)\/(-15) - 5) + 4269\/45?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13281724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 8:53 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*(40*c - 2 - 89*c + 25*c**2 + 51*c) to the form v*c**2 + x + q*c and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjwjjjjjjjwjjjjjj. What is prob of sequence wjjw?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -485, -1168, -2305, -3896?\nAnswer: -5941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4280 and 51.\nAnswer: -218280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 66171*c**5\/10 - c**4\/24 + c**3\/2 - 5*c**2. Let z be g(5). Let q = z + -7025648. Round q to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*s**2 + 4684160*s + 2554980.\nAnswer: 5*(s + 85166)*(11*s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wew when three letters picked without replacement from lgegweewwwgwwg.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*q - 8. Suppose q*m - 15 = -m. Solve 0 = 4*a - 2*t + 10, -2*t = -a - m*t - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404787980?\nAnswer: 2, 5, 20239399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45223?\nAnswer: 41, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2355 to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -456073\/41 - -11124. Which is greater: h or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*v + 2, 0 = x - 4*x - 5*v - 7. Let s be 15\/((-12)\/36 + 8\/x). Let p = s + -21. Put p, -4, 4, 1 in increasing order.\nAnswer: p, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -9\/80*k**5 + 0*k**2 + 0 - 2*k + 1\/40*k**6 - 1\/8*k**3 + 3\/16*k**4. Solve d(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 251 = 4*p, -3*l = 2*p + l - 138. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -315 - -366. Solve -9*r = 33 - i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 15 + -6 + -11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52667301 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57.8 - 111.7. Let g = r + 169. What is the nearest to g in 2\/15, -2, 4\/3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45119, 1\/141, 1 in ascending order.\nAnswer: -45119, 1\/141, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/50)\/2*((-8475)\/150 - -54)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n. Suppose -3*k + 258 - 72 = 0. Let t(d) = 73*d - 117*d + k*d. Determine z(t(m)).\nAnswer: -72*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10983481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d - 37?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/725 and 31\/16.\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 6:02 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2121)\/101)\/(6\/2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110 + 104. Calculate the remainder when 20 is divided by (-9)\/g*338\/39.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57.99 + 406.09. Let z = q - 348.5873. Let p = z + 0.49. Round p to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*1\/(-3) - 3\/4\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/2*(-1 + -1). Suppose 3*j - 5*n + 12 = -x*n, -j + 20 = 5*n. Let k = 49 - 45. Solve j = -k*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w + 8. Determine a(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -19 (b) -2\/51 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -11 + -5 + -3 + 85 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -328 + 440. Let z = -112 + w. Solve -k + 4 - 2 = z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, s: 2, l: 4}. What is prob of sequence lll?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2*x = -2 - 2, -4*x + 8 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b4c8 (base 15) in base 2?\nAnswer: -1010011011111001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -7 (c) 0.11 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-68.1.\nAnswer: -68.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, 5 in descending order.\nAnswer: 8, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*v - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 903324689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -15. Suppose 0 = b - 3*b + t. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**3\/6 - 2*p**2 - p. Let s be x(6). Suppose -s*o + 0*o = -18. Calculate the highest common factor of o and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, c: 7, q: 2, u: 2}. What is prob of picking 1 q, 2 c, and 1 o?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189411 to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230587076?\nAnswer: 2, 47, 61, 20107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3 = -0*r. Let y(a) = a - 1. Let k(j) = j**2 - 5*j + 1. Let u be (196\/42 + (-2 - 3))*3. Determine r*k(z) + u*y(z).\nAnswer: -z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5838*n - 69 + 225 - 79 - 77.\nAnswer: -5838*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4680, 9358, 14036, 18714, 23392?\n\"Answer: 4678*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22949585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 3*g - 7. Suppose 7*s + 4 = 5*s. Let l(q) = -q**2 - 2*q - 6. Let h(m) = s*y(m) + 3*l(m). Find the first derivative of h(o) wrt o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-1 + (3 - -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**2 - 4*n + 3. Let y be d(3). Let b be -12*((-1)\/1)\/y. Solve b - 3 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -2, -2\/5, -5, 2104 in increasing order.\nAnswer: -5, -2, -2\/5, 1\/2, 2104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i. Let d be r(6). Let b be 32\/d - (-2)\/(-3). Suppose 2*z = -0*z + b*j + 1002, -1003 = -2*z + j. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 4:23 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*t + 646, 2*t + 0 + 6 = 0. Let d = m + 364. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/192, 0.2, 85, 0.3.\nAnswer: -1\/192, 0.2, 0.3, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 236*f. Let p(a) = 15512*a**2. What is p(n(t))?\nAnswer: 863956352*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - n + 4*n)*(-1421*n - 1832*n - 4415*n + 2157*n).\nAnswer: -11022*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -39, 2\/3, -0.5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 479 - 440. Calculate the greatest common divisor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 309 and 174.\nAnswer: 17922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.4131 take away -8.7?\nAnswer: -18.7131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -0*s + 3*g + 2, 3*s + 2*g = -13 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (75\/27 - 3)*3. Let l = -11.6 - -12. Let x = -0.1 - -0.3. Which is the nearest to 0.1? (a) x (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -911874812\nAnswer: 911874811.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3))**(-1\/11)\/(v**(-2\/21)\/(v*v*(v\/v**10)\/v*v*v)))**31 assuming v is positive.\nAnswer: v**(-40331\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8*h + 14 = 3*u, 0 = 4*h - 2*u - 20. Let z be h + 352\/(-96) + (-1)\/3. Solve 5*s - 34 + 9 = z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -128477, -128584, -128691, -128798?\n\"Answer: -107*g - 128370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 605.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 - 751*w. Let r(b) = 58806*b. Give r(a(v)).\nAnswer: -117612*v**2 - 44163306*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1601240 or -11208688\/7?\nAnswer: -11208688\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3718386947.\nAnswer: 11, 10429, 32413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 909*w + 510624.\nAnswer: -3*(w - 591)*(w + 288)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*w + 41087 - 37167 = -3*w for w.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -8. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/10, 247\/255, 4\/3, -3, -5 in descending order.\nAnswer: 5, 4\/3, 247\/255, -1\/10, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 82*z**2 - 1637*z - 26. Give l(-48).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24211 is divided by 1100.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -6. Let z = -43.3 + 47. Let a = z - l. Round a to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m. Let n(a) = 7*a. Calculate -n(o) - 4*y(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15464.\nAnswer: 2, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/26*-5*(-58)\/(-435).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -3 + (-2 - -17 - 22).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -66, -10, 3 in decreasing order.\nAnswer: 3, 0, -10, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (7 - (-15 + (-16 - -30)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**6\/20 - y**5\/20 - y**4\/4 + y**3 + 2*y**2 + 46. Does 3 divide u(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 16*q**3 + 222*q**2 + 78*q + 1467. Calculate k(-14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1230*f**3 + 1583 with respect to f.\nAnswer: -3690*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11020200222 (base 3) to base 16\nAnswer: 146a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-1\/2)))**(7\/3) assuming t is positive.\nAnswer: t**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3\/2*n - 3\/4*n**2 + 6 = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7151, 7153, 7135, 7079, 6967?\nAnswer: 6781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*(v\/(v\/(v\/(v\/((v\/(v\/((v*v*v**(-1))\/v*v)))\/v))))*v)\/v)**4*v**(-1\/3)*v*v**(-3\/5)*v assuming v is positive.\nAnswer: v**(136\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 9*n - 286. Determine m(18).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*v + 2*v**2 - 5 + 5 - 267*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**5\/40 - 5*d**4\/16 + 89*d**3\/6 + 1965*d**2\/8 - 4275*d\/8 - 4971. What is g in c(g) = 0?\nAnswer: -15, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -2. Let y = 13 - -43. Suppose 0 = -5*w - o + y. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**5\/20 - l**4\/12 - l**3\/6 - 2*l**2 - 4*l. Suppose 189*a + 22 = 171*a + 22. What is f(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 37. Let h be (d\/(-3))\/((-46)\/69). Let b be h - 991 - 6\/2. Round b to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (0 - (5 + -1))) + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 8301448 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5097494004 to the power of 1\/2, to the nearest integer?\nAnswer: 71397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8389 or -8390?\nAnswer: -8389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 6:16 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (3 - 5 - (-29 - -45))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 243073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100202234 + 0?\nAnswer: -100202234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1827\/8, -4, -2, 0.04.\nAnswer: -1827\/8, -4, -2, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 7. Suppose -s*x + 188 = x. Suppose 120 = 3*q + 2*q. What is the remainder when x is divided by q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3419.8 and 7.8.\nAnswer: -26674.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2582 - 2582.00003214. What is p rounded to 7 decimal places?\nAnswer: -0.0000321","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -122172 equal to -122211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 3*b + 6. Is o(-9) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -82*d**2 - 20*d - 59. Let u be v(-3). Let y = -442 - u. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -244335 (base 6) to base 16\nAnswer: -54e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 50*(-1)\/(-2) - -3. Let n be ((-2)\/(-4))\/((-49)\/g). Sort -0.6, n, 1\/2 in decreasing order.\nAnswer: 1\/2, n, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1.302417cm?\nAnswer: 13.02417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 + 25*z - 40. Determine r(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1430*d + 1428*d - 16 = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**3*p + 8434*g**2*p**2 + 2*p**2 + 1736 wrt g?\nAnswer: 6*g**2*p + 16868*g*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 410 = 14*n. Suppose 131 = u + 5*o - n, 5*o = -3*u + 629. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 5*z + 0 = 22, 4*i - 2*i + 4*z - 99 + 79 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10045 + -9817. Which is smaller: 215 or q?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 438442 - 113299 = 91*f. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 155081*k - 155245*k + 6560 for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*h - 8*h - 12*h - 1 + (3 + 3 - 5)*(2*h + 3*h - 4*h) - 3*h - 10*h + 2*h.\nAnswer: -7*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 2*q = 0. Suppose f + 2*f - 9 = q. Suppose -f*g - x + 5*x - 3600020 = 0, -5*g - 5*x - 5999975 = 0. What is g rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1269 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -31*366\/(-20801) + (-7)\/33. Suppose 1\/3*q - l*q**2 + 0 = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + -22 + 11 + 20.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00101346637 rounded to 5 decimal places?\nAnswer: -0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4, 0 = -5*i + y + 2*y - 33. Let q(r) = -30 - 3*r + 3*r + 8*r - 12*r. Let m be q(i). Calculate the highest common factor of 48 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3028? (a) 4 (b) -1\/6 (c) 1\/28 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2119*d - 192. Is n(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from pypppppppy?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48948301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/5))**(3\/4)*z*z**(2\/3)*z**(-1\/12))\/((z*z**(-1\/4)\/z)**(-41)*(z*z\/(z*z**2))\/(z*z**1)) assuming z is positive.\nAnswer: z**(-179\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33125041*t**5 - 33751576*t**2 wrt t?\nAnswer: 1987502460*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91942\/5 or -18389?\nAnswer: -18389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1665\/(-6660))\/((-2)\/392).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20222 (base 3) in base 7?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-9)*3\/(-68)*112\/(-84)*-1.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 - -0.2. Let h = -0.211 - 0.289. Let l = h + x. Put -0.4, -4, l in descending order.\nAnswer: l, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391668427 to the power of 1\/2, to the nearest integer?\nAnswer: 19791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 17*l. Let s(a) = -a. Determine f(s(m)).\nAnswer: 2*m**2 + 17*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-8)*12\/(-3). Let z = q - 1. What is the third derivative of -j**3 - 7*j**2 + 9*j**2 + 0*j**3 + z*j**3 wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - ((-10)\/(-1))\/1. Let s be 63\/196 + v\/21*1. Let g = 1 + -2. Which is the closest to s? (a) g (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 111 + 208. Does 38 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -21501.111389?\nAnswer: -21501.611389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 7*j**5\/20 + 7*j**4\/12 + 15*j. Find the third derivative of m(h) wrt h.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(2 + -2 + -2). Suppose -3*u + 4 + 5 = z. Differentiate -k**u - 2*k**3 + 5*k**3 + 2 with respect to k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/6*(-2)\/(5\/(120\/256)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.18? (a) -27096 (b) -5 (c) -2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1353, -1382, -1421, -1476, -1553?\n\"Answer: -c**3 + c**2 - 25*c - 1328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1330914691*l*r - 941596538*r wrt l?\nAnswer: 1330914691*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 593081188?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t + 6*i = -13*t + 6, -5*i - 1 = -4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111 + -104. Solve 5*i - t*i + 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-1)\/15*(-4)\/((-32)\/156).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 17 (c) 2\/9 (d) 3 (e) 2\/247 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**4 - 2980*j**3 - 422196*j**2 + 52284132*j + 52703352 = 0.\nAnswer: -411, -1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.32 + 0.320152. What is w rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 8*s + 11. Does 14 divide p(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 425 divide 291550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -3*i**5\/4 + 335*i**4\/3 + 150*i**3 - 41*i - 2. Solve h(g) = 0.\nAnswer: -2\/3, 0, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3253?\nAnswer: 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 7:08 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35580 and 24315?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -151 - -153. Suppose -3*w + 33 = -j, x*w - j + 3*j = 30. Let b(u) = -u**3 + 10*u**2 + 12*u + 11. Calculate the least common multiple of b(11) and w.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70872119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (560\/(-7))\/(-10) + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from mffmzdddfa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1515 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 71*v**2 + 14*v + 157. Let o(a) = -36*a**2 - 6*a - 78. Let l(i) = 3*k(i) + 7*o(i). Differentiate l(z) with respect to z.\nAnswer: -78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*v - 79 = 25. Let k(r) = r**2 - 3*r + 3. Let w be k(3). Solve -w = v*h - 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1457 and 1175.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -30, -1\/4, 987?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3 + 7 + r - 3*r + 0. What is the remainder when 49 is divided by z(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -247598 (base 11) to base 10.\nAnswer: -390695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*h - 283 - 125 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-56)*46 + (-166)\/581. Let n(l) be the third derivative of 0 - 1\/24*l**4 + 0*l + 0*l**h - 18*l**2. Let q(r) = -12*r**2 + 2. Determine q(n(s)).\nAnswer: -12*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1254 + -1519.\nAnswer: -2773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 20.188, 201\/2, -3, 3?\nAnswer: 20.188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from tnoftjp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-6))\/((-1)\/(-12)). Suppose 0 = -l*b + 2*b + 4, 2*h = -2*b + 82. Let i = -118\/3 + h. Put i, 3, -0.3 in increasing order.\nAnswer: i, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 20*o**2 - 27*o + 15. Calculate x(19).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1230 - 315*y + 1230 to the form x + u*y and give u.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j - 44. Let d(x) be the third derivative of -7*x**5\/60 + 6*x**2 - 9*x. Give d(n(p)).\nAnswer: -28*p**2 - 1232*p - 13552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/9009 and -9\/10010?\nAnswer: 90090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -8*s**2 - 99*s + 102. Calculate m(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -186*k**2*u**3 - 4*k**2*u - 268*k - u**3 wrt k?\nAnswer: -372*u**3 - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4286*c - 1031. Is t(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(5200)*-2)\/(sqrt(128)\/sqrt(2) - sqrt(28)\/(sqrt(28)\/sqrt(4))).\nAnswer: -80*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*x - 0. What is the units digit of x\/6 - (-86)\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3769 + 3617 = 19*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 201599992 divided by -43912?\nAnswer: -4591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2. Let l(b) = 2*b**2. Let d(w) = 4*l(w) + 5*y(w). Let t(q) = 15*q**2. Calculate t(d(j)).\nAnswer: 135*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-1 - -2) + (-356)\/(-3). Let p = y + -51343\/429. Is 1 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (35\/21)\/((-2)\/(-24)). Let c(f) = 3*f - 70. Let r be c(a). Let q(d) = 1. Let k(i) = 7*i**2 - 35. Determine r*k(s) - 35*q(s).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.076414*8\nAnswer: 0.611312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 5*m**2 + 2. Does 19 divide u(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**4\/4 - d**3\/3 + d**2\/2 - 2*d + 3. Let i be c(-2). Solve -3*w + 3*k + k = -19, i = 2*k + 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - p - 4383 = 0, 0 = 2*j + p + 393 - 4774. Calculate the remainder when j is divided by 137.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 54. Let j(m) = -1152*m. Calculate f(j(s)).\nAnswer: 2304*s - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 10:32 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**2 - 3*o + 16. Let u(g) = -9*g**2 - 5*g + 33. Let r(q) = 3*u(q) - 5*z(q). What is the first derivative of r(n) wrt n?\nAnswer: -14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7804, -7798, -7792, -7786, -7780?\n\"Answer: 6*x - 7810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -38 + 8 + -18 - (1 + -17).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1220 is divided by 842.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 - -42. Let j be (1 - 10) + (4 - 2). Is 41 a factor of 2\/j + (-1728)\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-54) + (-14)\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -47*r - 701. Determine s(-6).\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3841 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 62*v + 1823. What is n(-18)?\nAnswer: 707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 8*d - 28. Let c be d + 0 + 65\/(-20)*-4. Solve 4*w = 9*w - c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/98 bigger than -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(5\/(-1985)*1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 34019, 34997, 35961, 36905, 37823, 38709, 39557, 40361?\n\"Answer: -h**3 - h**2 + 988*h + 33033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 526475*j**2 - 5083510 wrt j?\nAnswer: 1052950*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 2)*17\/((-153)\/12). Calculate the greatest common divisor of l and 568.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1113 is divided by 125.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -984 + 994 + -35 + (2 - 1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 3*j**2 + 20*j + 78. What is the smallest common multiple of p(-6) and 9?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 3*y)*(25 - 35*y - 46 + 21) in the form c*y**2 + n + o*y and give c.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) 2.4 (c) 0.29 (d) 1\/10 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 230*p - 235*p - 46 = 0, 0 = 3*d - p - 2. Let c(m) = 3*m**2 - 13*m + 9. Let h(o) = o**2 - 4*o + 3. Calculate d*c(f) + 7*h(f).\nAnswer: f**2 - 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1631 + 52*f**2 - 31*f - 12*f**4 - 3*f**3 - 13*f**3 - 1631 + 7*f = 0. Calculate f.\nAnswer: -3, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 368142732 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - -111232?\nAnswer: 111220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 9*u**2 - 8*u + 4. Let h be m(-8). Solve -5*j - h = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 12*o + 41. Let g be t(9). Let p be (-6)\/g - (-651)\/147. Solve -3*r + 3*h = -9, -2*r - p*h + 11 = -1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10*f**3 - 2*f**2 - 2*f + 1. Let v be p(-2). Let l = -73 - v. Let s be 0 + (-2)\/l + 26\/130. Is s at least as big as 3\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (111\/(10989\/(-33)))\/(((-27)\/(-126))\/((-2)\/(-21)))?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*f**4\/2 + 276*f**3 - 2727*f**2 + 7896*f + 3381\/2 = 0. Calculate f.\nAnswer: -1\/5, 7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-51)\/(-17) + -1*3. Solve -3*g + 9 - 3 = m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 30*w**3 - w**2 - w + 1. Let b be (3 - 4\/(-2)) + -4. Let i be v(b). Let k = i - -5. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 6*q**2 - 13*q + 102. Give a(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 946217091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m = -14. Let y = 15 + m. Let r(n) = -6*n**3 + 2*n - 1. Give r(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59729389?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*z = -42*z - 1850. Suppose -z = 3*r - 8*r. Suppose r = v + v. What are the prime factors of v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kss when three letters picked without replacement from {f: 1, v: 3, y: 3, k: 1, s: 2}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -119, -96, -53, 16, 117?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 5:33 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1891292.\nAnswer: 2, 13, 37, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16355044 (base 8) to base 6\nAnswer: -213132432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**2 + 16*z + 7. Let r(o) = -o**2 + 5*o + 2. Let p(l) = -7*r(l) + 2*y(l). Let f(t) = t**2 + 4*t - 1. Suppose 5*b + 13 = -2. Give b*p(k) - 2*f(k).\nAnswer: k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5108 divided by 134.\nAnswer: 2554\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 136, 13 in descending order.\nAnswer: 136, 13, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 23335*t - 10. Let o be q(6). Suppose -o = -3*r - r. Suppose 3*d = -2*d + r. What is d rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143516*l - 76069*l - 73364*l)*(-3 - 2 + 3).\nAnswer: 11834*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27743\/6402 - 1\/6402. Factor -5*s - 2\/3 - l*s**2.\nAnswer: -(s + 1)*(13*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**2 - 255*p + 191. Let i be o(63). Solve m - 3*h - 2 = 0, 2*h - 7*h = i*m - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -495873*w**3 - 31690*w**2 - 5 wrt w?\nAnswer: -2975238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1334 + 0.0834. Let o = -5 + 3. Put j, o, -2\/3 in descending order.\nAnswer: j, -2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 4 (c) -0.5 (d) -10.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - -222133232012?\nAnswer: 222133231331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/9 or -6.6?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 12*l**2 - 11*l - 18. Suppose 2*j = -4*b + 14, 5*j - 47 = -2*b - 4. Does 18 divide o(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73.14 + 73. Which is the nearest to 0.1? (a) -2\/5 (b) w (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18905002 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n**3 - 3*n**2 - 4*n + 2. Is 25 a factor of x(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12624713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i + 528 = 28*i. Let b = -43 - -54. Calculate the greatest common divisor of i and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1136, -1115, -1080, -1031?\nAnswer: -968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(304) + sqrt(304) + 2 + sqrt(304) + sqrt(304) + -2)*-4 + 5 - (3*(1 + sqrt(304))*-5 + -3)))**2.\nAnswer: -144*sqrt(19) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2\/10 + 45*b - 455\/2 = 0. Calculate b.\nAnswer: -455, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 - -0.3. Let a = 0.0478 - 0.0014. Let f = -2.9536 - a. What is the nearest to u in 3, 0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5\/3 - 128462*x**4\/3 + 128464*x**3 - 385394*x**2\/3 + 128465*x\/3.\nAnswer: -x*(x - 1)**3*(x + 128465)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 1\/14*x**7 + 3\/20*x**5 + 0 - 1\/5*x**6 + 0*x**3 + 0*x**4 + 0*x**2 - 9*x. Factor o(r).\nAnswer: 3*r**3*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = 3*h, 2*l - 3 = h. Suppose -l*f - 5 = -5*f. What is the derivative of 5*a**4 + 3 + 4 - 2 + f*a**4 wrt a?\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 93032. Let w(z) = -4*z. Determine h(w(q)).\nAnswer: 16*q**2 - 93032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0691*-0.5.\nAnswer: 0.03455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 1)*(-10 - 26 - 4)*(-6 - 6*t + 6) to the form q*t + u and give q.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2\/11 (c) -26471\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 550 by 5.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 8:16 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, u: 5, d: 5}. Give prob of picking 3 u and 1 d.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3 + 16172*s**2\/3 - 34285376*s\/3 + 7616576 = 0 for s.\nAnswer: -4092, 2\/3, 1396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7*(34\/(-14) + 3). What is the derivative of 4*w**k + 2 - 1 + 4 wrt w?\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (13 + -21) - -9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egim when four letters picked without replacement from {i: 2, c: 2, e: 1, g: 1, m: 1, p: 2}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -9 (b) -7 (c) -2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**5\/2 + 27*w**4\/2 - 57*w**3 - 18*w**2 + 204*w - 144 = 0.\nAnswer: -12, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (222*w + 57219 - 57219)*(4 - 4 + 2)*(-6*w + 9*w + 6*w)*(-3 + 1 + 1)*(1 - 4 + 5).\nAnswer: -7992*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37489?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 476?\nAnswer: 47c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1557\/4152*(-176)\/(-30).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 0*m + 1\/6*m**3 + 0 + 1\/60*m**6 + 5*m**2 + 0*m**5 + 0*m**4. Find the first derivative of p(r) wrt r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 35. Suppose 6 = 7*p - 8. Let u be 42\/(7\/2 - p). Which is smaller: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1642)\/8 - 3\/3. Let v = x + 223. Calculate the common denominator of (((-429)\/(-36))\/11)\/(1\/(-15)) and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 8:43 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*m + 14 = -39*m. Suppose 11*z - m*z + 5*s = 338, 0 = -3*z + 5*s + 236. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -235 - -451. Let j = d - 214. Solve 0 = 3*u - 3*s, -5*s = -j*u - 2*s - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221221122102 (base 3) in base 15?\nAnswer: -a1515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5 + 1530*v**4 + 18716*v**3 - 52380*v**2 - 355482*v + 909090 = 0. Calculate v.\nAnswer: -13, -5, 3, 777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2241 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/2 - 12\/(-3). Differentiate 3*u**2 + 0 - 5 + m - 1 wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 64 + 5?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5\/2 - 17*b**4\/2 - 18*b**3 + 322*b**2 - 176*b - 1632 = 0. Calculate b.\nAnswer: -6, -2, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 41120777 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.122, 2\/421, -1\/4, -29?\nAnswer: 0.122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1571 is divided by 1504.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -7*t. Let z(r) be the third derivative of -19*r**5\/60 - r**3\/6 + 409*r**2. What is z(j(h))?\nAnswer: -931*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17 + (10 - 11) + 0. Let c(w) = 6*w**2 + 2*w + 4. Let p be c(-6). Calculate the highest common factor of p and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(1\/5))\/z)\/((z**(-20)*z)\/z*z)*(z\/(z**(-8)*z))**(-5\/4) assuming z is positive.\nAnswer: z**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 6 = -7*m. Suppose -m*w + 145 = 5*r - 151, -3*r + 2*w = -184. Calculate the greatest common divisor of 210 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/4 + 70\/7. Suppose y*o - l - 30 = 0, 5*o - 10 = 2*o - l. Find the common denominator of 43\/3 and (2484\/32)\/9 - o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 22*z - 138. Give p(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6335330 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 155028*y**4 + 18341.\nAnswer: 620112*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - (0 + sqrt(2299))*-5 - sqrt(2299) - (0 + sqrt(2299))*-6) + -1 - -5*(-4*(-1 + sqrt(2299)) + -2))**2.\nAnswer: -1782*sqrt(19) + 186300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -250*k + 2191*k + 1456*k + 1 in the form r*k + g and give r.\nAnswer: 3397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -1 - 1) + -10 + (3 - 13).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 h, and 1 u when three letters picked without replacement from {u: 3, o: 2, h: 4, b: 4, t: 1, d: 6}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 7 - 3) + 23 - 7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63\/2 - 31. Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (1 - -1)) + (15 - 30)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 27 + 30. Suppose 169*t = 21*t - 95 - 201. Sort -4, -5, t, n in increasing order.\nAnswer: n, -5, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1225\/15 + (12\/(-9))\/2. Let t be 189\/s - 1\/3. Let n(x) = -4*x**2 - 2*x**2 - 3*x**t + 7*x**2. Let q(j) = -7*j. What is q(n(m))?\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5036688 by -23318.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3191768 and 370.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/4 - 23*l**3\/2 - 429*l**2\/4 + 575*l - 625.\nAnswer: -(l - 2)**2*(l + 25)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -26496 (base 12) in base 10?\nAnswer: -52530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*i + 52*i + 324 = y, 5*i + 338 = y. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.699283 litres in millilitres?\nAnswer: 6699.283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-59 - -60)*(-2)\/(-2)*-18. Let u(n) = n**3 + 19*n**2 + 18*n - 9. Let l be u(q). What is the second smallest value in 3, l, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2915*f*w**3 - f*w - f - 33*w + 14 wrt w.\nAnswer: 17490*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/126)\/((-198)\/77)*10\/(-20)*1?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15728 - -251547\/16. Find the common denominator of (-4)\/(-10) - (-882)\/320 and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 6:18 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.835 - -7.905. Which is the nearest to -2\/3? (a) -11 (b) n (c) 0.4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.1 (b) -0.025 (c) 1 (d) 0.4 (e) -1\/8 (f) -2\/11 (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371 = 10*b - 1491. Let o be 4\/(-14) + 18\/b. Is o greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/5 + 1036*z**2\/5 + 54484*z + 2113568\/5 = 0. Calculate z.\nAnswer: -514, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2049*z + 13115 - 66389 = 0 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from caaaxxaaxaaxaa. Give prob of sequence xx.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 2899 = -3*g + 5*o, -4*g + 2*o = -3902. What are the prime factors of g?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 26*f + 53. Let n be m(24). Let a(i) be the first derivative of n - 8\/3*i**3 + 0*i + 0*i**2. Let t(q) = 2*q. Calculate t(a(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 482339593*w**2*x**2 - w*x**2 + 116193076*x**2 wrt w?\nAnswer: 964679186*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.376 + -3.7?\nAnswer: -3.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8904.\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-51)\/(-1)*(-531)\/48321*13*1?\nAnswer: -51\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 26664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-15)*(-2)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from gttotjjtjugtuts.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, i: 2, t: 4, c: 1}. What is prob of sequence ilc?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -552028 less than -552024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1326 + 2392*f**2 - 742 - 584.\nAnswer: 2392*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**3 + 2*l**2 - 36*l - 100. What is y(-3)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79001?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g + 13. Let p(q) = -16*q - 415. Let d be p(0). Let a = d + 422. Let n(j) = -2*j + 4. What is a*n(o) - 2*l(o)?\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9475251 to the power of 1\/2, to the nearest integer?\nAnswer: 3078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1464.2 - -1460.2. Which is the closest to 2\/15? (a) -0.4 (b) 0.4 (c) y (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32871 = -8*k - 1327. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 24 = -0*q - 3*i, -3*i = 5*q + 30. Let x(y) = y**2 + 3*y - 2. Give x(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 3*t**2 - 4*t + 2. Suppose 3*r + h - 18 = -1, 0 = 2*r - 2*h + 2. Let o be p(r). Find the second derivative of 4*d**5 - d + 2*d - o*d**5 wrt d.\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3415*f*o**3*w**3 - 619*f*o**3*w**2 + 1157*f + o**2*w**3 + 21*o**2 + 3*o wrt o.\nAnswer: 20490*f*w**3 - 3714*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 306314, 306461, 306608, 306755, 306902, 307049?\nAnswer: 307196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 948*p**2 + 1908*p + 956.\nAnswer: -4*(p - 239)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 7*q**2 + 4*q - 26. Let w be s(7). Suppose 2*g - w*m - 632 = 0, -3*m + 945 = 3*g - 5*m. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 35*v + 20. Let o(w) = w - 1. Let f(a) = -1 - 8*a - 4 + 0. Let t(c) = v*o(c) + 2*f(c). What is the first derivative of t(n) wrt n?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100010111011111000 (base 2) to base 16\nAnswer: -22ef8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8287658mm in micrometers?\nAnswer: 828.7658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15167742493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14, 59, 116, 191, 290, 419, 584, 791?\n\"Answer: h**3 + 38*h - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9777251 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -150829056 divided by -294?\nAnswer: 513024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 14 (b) 0.6 (c) 3 (d) 5 (e) -6\/31 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 820 is divided by 268?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 + 3*j - 32 - 17.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x. Let r(y) = -443*y**2 + 4*y. Calculate r(k(u)).\nAnswer: -3987*u**2 + 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.04 (b) -0.04 (c) -17 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -202*n + 3588. Calculate w(18).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + ((-25)\/(-10) - 1\/(-2)). Let r be 66*v*(-5)\/(-90). Let k = 212 + -124. Calculate the highest common factor of r and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s. Suppose -4*b - 3 - 17 = 0. Let g be (-6)\/(-15) + (-8)\/b. Let m(f) = 2 + f - g. Calculate t(m(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -7*o**5\/20 + o**3\/6 + 11219*o**2. Let v(t) = -22*t**2 + 1. Determine -6*d(m) + 7*v(m).\nAnswer: -28*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -969 = -11*w + 406. Calculate the remainder when w is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 89*f**3 + 579*f**2 + 216756.\nAnswer: 267*f**2 + 1158*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w + 2. Suppose 0 = 2*h - 7*h + m - 37, -2*m = 5*h + 46. Let z be o(h). Let u = z + 17. Solve 0 = -c + u*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -105431, 0, -5 in decreasing order.\nAnswer: 3, 1, 0, -5, -105431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -9. Let q = l - -1. Suppose 42 + 13 = q*m. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3021 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11.756 and 18.21306?\nAnswer: 29.96906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 1 - 2, 5*v = -3*l + 189. Let r = -332 + 472. Let w = r - l. What is the remainder when w is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a tonne in kilograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58328 and 3956?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -56182.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2, -0.1, 3, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/1 - (-14)\/1. Suppose -u - 5*y - 5 = d, -3*y + 4 = 4*u. Suppose 104 = u*p + 40. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 8:51 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2500*x**4 - 510*x**2 + 2113344*x wrt x?\nAnswer: -30000*x**2 - 1020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*f = 3*p - 187, 0 = -4*p - 4*f + 796. Let w = p - 182. Which is bigger: w or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 804*n**3*u**2 + 6*n**3 - 8*n**2*u**2 - 936*n*u**2 wrt n?\nAnswer: 4824*u**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 8960*i + 185. What are the prime factors of d(4)?\nAnswer: 5, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((14\/(-15))\/(-7))\/((-1)\/((-65)\/39))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**1\/n))**(-2\/81)\/((((n\/(n\/(n\/(n\/(n**(-2\/5)\/n)))))\/n)\/n)\/n*n**5))**(-14\/3) assuming n is positive.\nAnswer: n**(3682\/1215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 792*f**4 - 8*f**3 + 127*f**2 - 5*f + 4. Let h(z) = z**4 + 2*z**3 - z**2 - 3*z - 1. Let x(d) = 4*h(d) + w(d). Find the third derivative of x(c) wrt c.\nAnswer: 19104*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1324, 5240, 11756, 20866, 32564, 46844, 63700?\n\"Answer: -x**3 + 1306*x**2 + 5*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 4 - 8 - 1068*n - 4 - 5 to k + s*n and give s.\nAnswer: -1068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*g + 7 = 0. Let s = 15 - g. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (17 + -7) - -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000010110101001101101 (base 2) to base 12.\nAnswer: -8973a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 8*x**3 + 61*x**2 - 8608*x + 3219 = 0.\nAnswer: -37, 3\/8, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/30 in 121, -1\/10, -1\/2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 4:15 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-9)\/(-4))\/((-2)\/(-3408)).\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.2842872 to 2 decimal places.\nAnswer: 3.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*m + m, -3*m = 3*v - 21. Let a be m\/12 + 30\/8. Solve 0 = -3*b - 3*u + 3, -2*b - 5*u + 0 = a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -22) + (23 - 37).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 l, and 1 x when three letters picked without replacement from {l: 2, g: 1, x: 2, p: 1, e: 1, o: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2*y. Let z be (5720\/1050)\/13 + 3\/(42\/(-4)). Which is the fourth biggest value? (a) y (b) 1\/6 (c) z (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-1 + 0 + -1). Let t(a) = -a + 2. What is the units digit of t(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 != 198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10478778?\nAnswer: 2, 3, 1746463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 536602 (base 7) to base 9.\nAnswer: 152341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -290? (a) 0 (b) -2\/7 (c) -5 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 15*f - 26. Let z(n) = 2*n**2 - 14*n - 28. Let x(v) = -6*q(v) + 5*z(v). Factor x(h).\nAnswer: 4*(h + 1)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -14 - -17 - (0 + 1). Solve -2*c = -p - 1, 3*c - i*p = -7*p - 31 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 278461 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 704 is divided by 698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 793612.2 kilometers in nanometers?\nAnswer: 793612200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r**(-9\/8)*r)\/r*r)*r*r)\/r*r**15)\/(r\/(r**(39\/5)*r)*r*r**(-1\/13)\/r) assuming r is positive.\nAnswer: r**(13521\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3 - 3. Suppose -4*a + 677 + 707 = g. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2. Let s be (-1 - 5\/(-2))*6. Let u(w) = s - 5 - 4 - w. Give u(o(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (34 - (-66 + 28)) - (-3 + 14)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 3309*n**5\/10 + n**4\/6 + n**3\/2 - 2*n**2 + 81*n. Is a(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1, 0.3, 5.233, 2\/3.\nAnswer: -1, 0.3, 2\/3, 5.233, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -2 + 19 + 13 + (-1 + 13 - 30)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -10\/7, -1247 in descending order.\nAnswer: 1, -10\/7, -2, -1247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -94*j + 227*j - 130*j. Let g(b) be the first derivative of b**5\/30 + b**2 + 1. Let a(z) be the second derivative of g(z). Give m(a(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4503561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.2. Suppose 3*g - 4*x + 10 = 8, -3*x + 12 = 3*g. Let v(c) = c**2 + 10*c + 13. Let u be v(-9). What is the second smallest value in j, u, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 34\/3 + (-2)\/6. Suppose 17*f - 48 = i*f. Let m(y) be the second derivative of -y**3\/6 + 4*y**2 - 3*y. What is m(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttbt when four letters picked without replacement from btbbbtbbtttbt?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 182172 and 2679?\nAnswer: 182172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(119) + sqrt(119) + (sqrt(119) - (2*sqrt(119) + sqrt(119))) + sqrt(119)))\/sqrt(7).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1911)*-3 - sqrt(1911) - sqrt(1911)) + 5*sqrt(351)\/sqrt(9))\/(sqrt(108)\/(sqrt(28)\/(sqrt(42)\/sqrt(6)))).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 115 (b) 1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 587491187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -105*z**4 + 292*z**3 + 71*z**2 - 6*z = 0.\nAnswer: -2\/7, 0, 1\/15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o - 11 = -48*o + 24*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s + 2*s + 0*s)*(15 + 0 + 0)*(-11 - 17 + 17) to the form c*s + f and give c.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w + 0*w - w - 21.\nAnswer: 3*w - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 33852 to the nearest 1000.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4852206323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719279058.\nAnswer: 2, 3, 119879843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36872, -73740, -110608, -147476, -184344?\nAnswer: -221212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 5*t - 2. Let d be (6 - -2)*1\/2. Let b = 1 - d. Give x(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/36*72\/(-176)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 204217289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -81*t**2 - 3*t + 3. Let q be f(-4). Let v = 2217 - q. Suppose -g - v = -3*p, 5*p + 2*g - 780 = 5039. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29196.133 rounded to the nearest ten?\nAnswer: 29200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1445367 to the power of 1\/2, to the nearest integer?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**2 - 229*n + 2002. Calculate o(66).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -701 = -36*g - 40 + 9275. Calculate the greatest common divisor of g and 437.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 6 - 2. Suppose r*y - 4 = -8. Is -3 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -477477 (base 8) to base 12\nAnswer: -7a853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/5 of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4607 = -3*b - 4*b - 10*b. Which is greater: 269 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4590139)\/9049830 + 3\/74?\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 - 22*z + 23.\nAnswer: -(z - 1)*(z + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 32 = k, -24 = 53*k - 55*k + 2*n for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 391197293?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -7 - 49. Suppose 71*f - 724 = 51*f - 161*f. Calculate the greatest common divisor of n and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*n + 20*n. Suppose -2*a - 3*a + 10 = n. Find the third derivative of 22*d**a - 24*d**2 - 8*d**4 - d**4 - 6*d**4 wrt d.\nAnswer: -360*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-5))\/(-2))\/((40 + -37)*22\/(-5940)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l = -42. Let f be -5 + -20*(-1)\/2. Suppose -2*i + 81 = -v, 2*v = -i + f*v + 33. What is the highest common divisor of i and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m**(1\/7)*m)))\/m*m**(-1\/2)\/m)**34 assuming m is positive.\nAnswer: m**(-323\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8870202 by 9.\nAnswer: -985578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-6))\/((-5)\/(-2)) - 14396\/(-28060)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 407, 408, 409, 410?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from googggoxnzgoooxzxgg. What is prob of picking 2 x, 1 g, and 1 o?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1917, -1916, -1915, -1914?\nAnswer: -1913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -895\/1110789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c**2 + c + 1. Let n(y) = y**2. Let b = 13 - 14. Determine b*j(d) - 2*n(d).\nAnswer: 2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2289860?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 198552 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1, 0.11, 5, -4, 82 in decreasing order.\nAnswer: 82, 5, 1, 0.11, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 8 = 0, -2*r = -j + 5 + 4. Does 7 divide 3*(j - (-42)\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/(2\/6)*8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from lvqlguvlgvvu?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 0*i**2 + 4*i + i**2 - 2*i + i**2 + 0*i**2 + 0*i**2 - 3*i**2 + 2*i**2 + 0*i**2 + (-2 + 2*i + 2)*(0*i - 2*i + 3*i).\nAnswer: 3*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1\/6, -0.37?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 0.22192.\nAnswer: -0.088768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r - 19. Let g = -3183 + 3175. Give z(g).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(2 - 14\/6). Let g(y) = -y**2 - 15*y - 11. Is g(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 996426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10413245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*b - 14 = 0, 20*b = 3*s + 15*b - 34. Calculate the remainder when 21 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w. Let j(a) be the second derivative of a**2\/2 - 13*a. What is -3*j(z) + t(z)?\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3330729967596 - -60?\nAnswer: -3330729967536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 827 - 822. Sort 4, 2\/9, x, -0.1 in decreasing order.\nAnswer: x, 4, 2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12\/61, -1, 2\/5, 11\/7, 1\/3, -4 in increasing order.\nAnswer: -4, -1, -12\/61, 1\/3, 2\/5, 11\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 14 = 3*g - 2, -20 = 4*g + 5*y. Suppose x - 3*m - 20 = 0, 2*m - 6 = 2*x - 42. Suppose 0*w - w + x = g. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 7:54 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2231 divided by 1158.\nAnswer: -2231\/1158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 2:59 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ececccuccc. What is prob of picking 3 c?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(468) + 0 + sqrt(468) - sqrt(468)) + -4 + -2*(sqrt(468) + (-2*(2 + sqrt(468)))**2).\nAnswer: -3783 - 198*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = u, -r = 4*r + 4*u - 75. Let q = 17 - r. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/3 - 19788*h + 293673708 = 0. Calculate h.\nAnswer: 29682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 2. Let g be r(2). Let l = 4 - g. Suppose 0 = l*i - 5*v, 4*i = 2*v + 2*v. Solve 3*x + w + 9 = i, -x + 4*w - 12 = 3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 10 = 5*a, 0*a + 5*r = 3*a - 34. Let w(b) be the first derivative of a + 4*b**3 - 5\/2*b**2 + 0*b. Find the second derivative of w(z) wrt z.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + 40\/(1440\/(-36))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - -1.3. Let l = 11 + -14. What is the closest to -2\/3 in 0.1, o, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 4*f**2 - 9*f**2 + 15*f**2)*(4*f + 0*f + 2 - 3)*(-5 + 4 + 0).\nAnswer: -8*f**3 + 2*f**2 - 52*f + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 21897?\nAnswer: -218a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 673*w - 676*w = -729000. What is w rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 70299360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/826 and 37\/10.\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + 6. What is the remainder when 100 is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -88155, -88144, -88121, -88080, -88015, -87920?\n\"Answer: v**3 + 4*v - 88160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 6:12 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/11 (b) 0 (c) 144\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**4\/24 - 21*d**2 - 8*d. Let y(t) be the third derivative of 7*t**4\/24 + 2*t**2. Give y(o(h)).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12200123033 + 2?\nAnswer: 12200123101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2666 - -18664\/7. Which is the nearest to 2? (a) 0 (b) g (c) 0.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4. Suppose 13*h - 228 = h. Let o = h + r. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 9 = z. Suppose -4*q = z*p - 10, -4*q - q + 1 = -2*p. Let f = 7 + q. Solve f*c - 3*c - 2*d + 20 = 0, 5*c = -3*d + 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*177868.\nAnswer: -355736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -0.9 (c) -1 (d) 0.03 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/14 - (-26)\/(-42). Let i(b) = -33*b + 54. Let g be i(4). Let x be 7\/4 - g\/(-39). Put z, x, -7 in decreasing order.\nAnswer: x, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.383868 millilitres to litres.\nAnswer: 0.000383868","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.056 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -160*u**2 - 3*u + 3. Let q be y(1). Let a = q + 186. Is 25 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**4\/12 - 8*h**3\/3 + h - 55. Let c(q) be the first derivative of z(q). Calculate c(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 4587396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 12:44 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(-2*(-6)\/(-952))?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0*a + 2*a)*(-1 + 1 - 2) - 2*a + 0*a + a + 2 + 2*a - 2 + (7 - 2 + 2)*(-2 + 2 + a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + ((-216)\/(-14) - (-3)\/(-7)). Suppose -24 = -10*l + h*l. Let n(f) be the first derivative of 2*f**3\/3 + 4*f**2 - 5*f - 1. Give n(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24585 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2461*i + 0 - 1 + 2604*i + 1 as u + v*i and give v.\nAnswer: 5065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 b when four letters picked without replacement from mmkkmkmkmmmbbm?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 12. Let f be l(17). Solve f*m + 20 = -5*v, 0 = -v - v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b41 (base 12) in base 9?\nAnswer: -4544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p*r**3*y - 12*p*r**2*y + 10886*r**3*y + 4*r*y + 3*r + 12*y wrt r?\nAnswer: 6*p*y + 65316*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266 (base 12) in base 4?\nAnswer: 200232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*l + 6 = -2*f, 0 = -3*f - 2*l - 6. Let v(p) be the second derivative of p**4\/12 + p**3\/6 + p**2 - p. Give v(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**3\/11 - 9*v**2\/11 + v\/11 + 9\/11 = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxhgaagaaaajg. Give prob of picking 2 g.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -153.46249243 rounded to one decimal place?\nAnswer: -153.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -1, -606, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 11:24 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/50 - 13\/(325\/98). Sort 4, -5, k, -22 in decreasing order.\nAnswer: 4, k, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 1. Let y(p) = -50. Let n(w) = 43. Let q(b) = -7*n(b) - 6*y(b). Give 6*q(o) + 5*u(o).\nAnswer: -5*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h**2 + h**3 + h + 5*h**2 + h**3 + 0*h**2. Let y be u(1). Solve -5*k + 7*t - 5 = 2*t, -y*k + 1 = -5*t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -22, 4 in ascending order.\nAnswer: -22, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -191159621*k**2. Let p(i) = -i. What is n(p(z))?\nAnswer: -191159621*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 33*b - 986. Let p be i(30). Sort p, -4, -43, -5, -3 in decreasing order.\nAnswer: p, -3, -4, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 22*w + 12 + 23*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 4*g**2 - 5*g + 1. Let f be u(5). Let h(d) = -d**2 - 1. Calculate h(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (893 + 13*o - 893)*(6*o**2 - 16 + 16 + (-2*o - o + 2*o)*(0*o + o - 3*o)) to j*o**3 + c*o + p + z*o**2 and give j.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 27*y**5\/2 - 405*y**4 + 3888*y**3 - 12917*y**2 + 30709*y\/2 - 3822 = 0?\nAnswer: 1\/3, 7\/3, 12, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*q**2 + 6*q**2 - 2 + 6 to the form i + h*q + f*q**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20 + 5)*-1*3. Let m be (18\/l)\/((-2)\/(-10)). Solve -p + 5 + 0 = -m*w, w = -2*p + 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - -131?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 91. Let z(d) = -d**2 - 3*d + 10. Let l be z(-6). Let s = l + 8. Is o(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**3 - 2*v**2 + 5. Let f(j) be the first derivative of -3*j**4\/2 - j**3 + 8*j - 1. Calculate 5*f(p) - 8*r(p).\nAnswer: 2*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -13*n + 184. Calculate c(-20).\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 divided by 1.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 9:05 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u**3 + 6*u**2 + 474*u + 1872. Calculate f(-4).\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -589 + 598. Find the third derivative of 22*i**5 + d*i**2 + 109*i**2 + i**3 - 20*i**2 wrt i.\nAnswer: 1320*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 495446 by -495446.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 2 + (-55 - -65) + -7\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**3 + 2*d - 4*d**3 + 0*d**3 in the form y + a*d**2 + p*d**3 + b*d and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 * -69.4\nAnswer: -215.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 1:10 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 - 277.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from acaiiigioaooaooc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*r - 1309388 = 32*r + 2430837. List the prime factors of r.\nAnswer: 5, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 5\/4, 1, 6, 1\/27?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 0*n + 1\/112*n**8 + 0 - 2*n**2 - 1\/210*n**7 + 0*n**5 + 0*n**4 + 0*n**6 + 0*n**3. Determine m, given that p(m) = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 42. Let g = -3 + 5. Let h be 1 - (0\/g - -1). Solve k*i + 0*i + 15 = h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 11*m + 82. Let u be l(16). Let z(c) be the second derivative of -c + 0 + 1\/3*c**u + 1\/18*c**4 - 2\/9*c**3. Factor z(v).\nAnswer: 2*(v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230240100 (base 5) in base 8?\nAnswer: -3720620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, -3.2, -14, -9\/7, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*k + l, -4*l = k + l + 2. Let c be 17\/(-4) - 3\/24*-2. Suppose 10*s - 12*s + 5*q + 5 = 0, 25 = 4*s + 5*q. Put s, c, k in decreasing order.\nAnswer: s, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*s + 7 + 1 = 0, 28 = -g + 5*s. Let q(i) = -3*i - 4. What is q(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8a + -4?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 12*q**2. Let z(j) = 28*j - 54. Let o(g) = 9. Let t(k) = -6*o(k) - z(k). Determine t(b(l)).\nAnswer: -336*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 3 = a, -81*c - 1964 = -a - 1393 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 7. Suppose 7 = w - j, 3*w - 6*j = -10*j. Give g(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j. Suppose 4*u - 8 + 0 = 0. Let c(k) = k**2 + 3*k**2 - 3*k**u. Calculate c(r(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 5152 and 113365\/22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5654170 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*w**2 - 81*w**3 + 66*w**3 - 17*w**3.\nAnswer: -32*w**3 - 29*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 3*o. Let v(t) = o + 0 - 2*t + 5. Is 6 a factor of v(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -13. Let v(n) = 4*n + 11. Let y(t) = -5*t - 12. Let j(f) = g*y(f) + 6*v(f). Does 13 divide j(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5795033 * 20\nAnswer: -115900660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a - a**3 - 6*a**2 + 9*a**2 + 2*a**3. Suppose -4 = 5*z + 11. Determine f(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68640+-4225663\nAnswer: -4157023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*u - 312, -3*v + 6*u - u + 344 = 0. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 3. Suppose -n - 2*b - 1 = 2, -4*b = u*n + 8. Is n + 3 - (16 + -145) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -1\/4, -18, -0.8, 2 in increasing order.\nAnswer: -18, -3, -0.8, -1\/4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u - 2. Let n(h) be the first derivative of -6*h**2 + 3*h + 4. Let g(z) = 5*i(z) + 2*n(z). Determine g(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 plus -0.01?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r = 109 + 131. Solve 0 = -2*t - 5*q - r, -5*t + 3*q + 8 = -3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(31\/31)*22\/(-6).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + -7 + (-5 + -12 - 1)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(5\/9)*g*g)\/(g\/((g*(g*(g**(1\/29)*g*g*g)\/g)\/g)\/g)))\/((g**13\/g)\/(g*g**9)))**(-44) assuming g is positive.\nAnswer: g**(-29744\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95789 is divided by 754.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 18 - 1)*(-3*l + l + 2 - l) to g*l + v and give g.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 3 + 9)*(6*a + 2*a - 5*a) + (-2 - 1 + 5)*(2*a + 0*a - 3*a) + 7*a - 2*a + 6*a.\nAnswer: 84*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 1:52 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 665241 (base 7) in base 13?\nAnswer: 413ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/6)\/((-6)\/(-27)) + (-18522)\/(-12) is divided by 385.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -3717194\nAnswer: 3717194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2920717483.\nAnswer: 31, 94216693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -202\/11*k + 8\/11*k**3 - 38\/11*k**2 - 48\/11.\nAnswer: 2*(k - 8)*(k + 3)*(4*k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, k: 1, u: 2}. What is prob of sequence ukp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*l + (4 - 5 - 1)*(-2 + l + 2) + 5*l + 0*l - 3*l + (-l + 0*l + 2*l)*(-3 + 0 + 2).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269980, 270062, 270146, 270232, 270320?\nAnswer: 270410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(46\/6 + -3). Calculate the common denominator of 26\/8*-1*f and (364\/60)\/(4\/6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 12:47 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q**2 + 14*q + 9. Let f(i) = 2*i**2 - 3*i - 2. Let u(d) = 5*f(d) + w(d). Give u(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 + 230579*p**2 - 1844559*p - 2075139.\nAnswer: -(p - 230571)*(p - 9)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**2 + 2*m + 1. Let l(x) = 6*x**2 - 3*x - 1. Determine -4*l(u) - 5*t(u).\nAnswer: u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -1. Let r(v) = 2*v**2 - 3*v + 4. Calculate the remainder when r(k) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -82b6c + 1?\nAnswer: -82b6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1dac9 (base 15) in base 8?\nAnswer: -275253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 15*p - 1. What is the units digit of k(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**2 - 1422*k - 2219. What is a(-354)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 1)*(-4144*r**2 + 7 - 5 + 4462*r**2) in the form w + l*r + v*r**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/13)*j)\/((j\/(j*j\/j**(1\/3)))\/j)*j\/(j*j\/(j**5\/j))*j*j**(-2\/5)*j assuming j is positive.\nAnswer: j**(1582\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90593 - 90035.67. Let w = 13.33 - y. Let a = -544.391 - w. Round a to two decimal places.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/6)\/(30\/(-2))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 3:39 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3432162977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10026515 (base 7) to base 13\nAnswer: 23111c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/v**24*v)*v)\/v**(-9))\/(v**(-4)\/((v\/v**(-2\/15))\/v*v)) assuming v is positive.\nAnswer: v**(557\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/44857 and 56\/11.\nAnswer: 493427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15776 and 1624.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/161 and ((-389391)\/(-96255))\/(-1*1\/(-2)) + -8?\nAnswer: 7245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c - 14. Let l be o(-6). Suppose 351*h = 362*h + l. What is the second smallest value in h, 0, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 223, 424, 603, 760?\n\"Answer: -11*k**2 + 234*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9284 and 3613797.\nAnswer: 14455188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -8*o**3 + 7*o**2 + o - 4. Let p(z) = 9*z**3 - 8*z**2 - z + 5. Calculate 7*b(h) + 6*p(h).\nAnswer: -2*h**3 + h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*k = 39*k - 10, 2*f - 2*k - 52 = 0. What is the highest common factor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 4*t - 9 = -6*t, -5*m - 1 = 2*t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 0*f**4 + 0*f**3 - 7*f**2 + 0 + 0*f - 1\/15*f**5. Let h(w) = 2*w. What is q(h(p))?\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96 by 32.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/4)*w**(3\/2)*(w*w*w*w**(-3)*w)\/((w*w\/(w\/(w**(-5)\/w)))\/w) assuming w is positive.\nAnswer: w**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1395041 and 939.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epc when three letters picked without replacement from {v: 6, p: 3, c: 6, e: 2, b: 3}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52536*f*u**4 - 33*f*u - 55*f + 339 with respect to u.\nAnswer: -210144*f*u**3 - 33*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13773 + 13772.5. Which is the third biggest value? (a) 6 (b) 4 (c) i (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*r - 26*r + 2008 - 4124 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*q - 65, -39 = q - 4*q + f. What is the tens digit of (q\/4)\/((-6)\/(-72))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*j + 209*b + 2090 = 27*j - 53*j, 4*b = -40 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -d - 0 + 46, 0 = -2*d + g + 47. Suppose -3*k - 87 = -2*o, -5*o = 2*k - 40 - 168. What is the lowest common multiple of o and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5201316 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(243) + -2 + sqrt(243).\nAnswer: 3 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*d + 101*d - 101*d.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4335032 is divided by 1623?\nAnswer: 1622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 12*g - 15. Let z be y(-10). Is 4 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64595?\nAnswer: 5, 12919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*w - 36. Let o = -1 - -2. Let v be (o + -151)\/(w\/(-192000)). What is v rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1225)\/sqrt(5) + (sqrt(5) + sqrt(30)\/sqrt(6))*5 + 1.\nAnswer: 1 + 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -9*w - 3. Let u = -3 - 2. Put 0, u, w in increasing order.\nAnswer: u, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 20. What is the smallest value in 0.2, 0.1, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*y - 12. Let j = y - -1. Sort -5, -1, j in decreasing order.\nAnswer: j, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523425.\nAnswer: 3, 5, 7, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/(-156) - 2\/(-8). Let i be ((-51)\/42 + 1)\/(((-24)\/21)\/2). Which is the smallest value? (a) 3 (b) i (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -20*s + 249. Let h be f(9). Suppose 349 + 206 = 5*z - 5*r, 0 = r + 5. Suppose 5*k + h = 2*u, 0 = 2*u + 3*k - z + 29. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*b - 4. Suppose 0 = -3*z + 2*i - 4, -4*i + b + 5 = -5*z. Suppose z*l - 75 = -5*l. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 7*v**4\/24 + v**3 + 34*v**2 + 2*v. Let j(h) = h + 1. Let s(p) = -6*j(p) + x(p). Let r(l) = -484*l. Give s(r(o)).\nAnswer: -484*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d = 30*d + 130 + 311 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54807 or 54806?\nAnswer: 54806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 213.5 + -213. Put 1\/8, h, 4 in ascending order.\nAnswer: 1\/8, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12357454.72 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565 - (-2 + -11 + 5).\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 145 - 1017\/7. Suppose 4*w = -w + 10. Put y, 4, w in decreasing order.\nAnswer: 4, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 s when four letters picked without replacement from {u: 3, q: 10, h: 3, a: 1, s: 3}.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h - 6*h + 1 + h - 2. Let t(v) = -2*v**2 - 4*v - 3. What is -5*d(i) + t(i)?\nAnswer: -2*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47334 greater than 47334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53830459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 42*w + 50. Let o be x(-14). Let p = o + 537. Is 2\/771 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 208, 214, 224, 238?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 189184102847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 97*r**5\/120 - r**4\/2 + 12*r**3 + 94. Let a(k) be the third derivative of v(k). Differentiate a(f) with respect to f.\nAnswer: 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2130311 + -10?\nAnswer: 2130301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 24*d - 22. Suppose 109 + 11 = 5*s + 5*r, 3*s - 5*r = 64. Determine j(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -492*j**2 - 35*j - 173. Let v(q) = -247*q**2 - 16*q - 86. Let n(y) = -6*u(y) + 13*v(y). Differentiate n(f) with respect to f.\nAnswer: -518*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.287 + 0.187. Which is the nearest to -42\/11? (a) t (b) -0.3 (c) -0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34891 + 4627 = 776*b for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 72\/395 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s - 4. Let z(o) = -o**2 - 3*o + 5. Determine 4*r(q) + 3*z(q).\nAnswer: -3*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.28 * 30.74.\nAnswer: -8.6072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 24*a**2 + 48*a + 2. List the prime factors of z(4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -2*l + 7*l + u, -l + 4*u + 6 = 0. Let k be (l\/(-2) - 2)*30\/18. Calculate the greatest common factor of k and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26387*l = 26385*l + 14 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -635570000 to the nearest one million.\nAnswer: -636000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 669 and 19221?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 25750770 to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 33 - 191. Calculate the remainder when x is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**4\/24 + b**3\/3 - 17*b**2. Let h be z(-2). Sort h, -2, -8.\nAnswer: -8, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 41. Let p be o - -4 - -2*1. Suppose 45 = 5*v + 5*c, 0 = 3*v + 2*c - 4*c - p. Calculate the greatest common divisor of 16 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 16 = 4*z, 929*z + 10 = o + 933*z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -212*k**5 - 58*k**4 - 2*k**3 + 12315*k**2 wrt k.\nAnswer: -12720*k**2 - 1392*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - 2*132\/(-24)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1497 - -1316. Let p = -1596 + f. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 b when three letters picked without replacement from {d: 1, x: 1, b: 2, p: 1, q: 1, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 290245.032 microseconds?\nAnswer: 0.0000004799025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006249 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5127*u - 5119*u + 48 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6 - 5)*(-1 + 0 + 3)*(-2*c - 8 + 8).\nAnswer: -28*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91\/(-2) + -7)*(24 + (-980)\/42).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/485042 and 41\/2.\nAnswer: 485042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**5 - 820*c**4 - 111258*c**3 - 5053064*c**2 - 9667624*c = 0.\nAnswer: -151, -106, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322 + 240 = 3*j - 5*s, 8 = -4*s. Let l = 103 + -27. Let n = j - l. Calculate the highest common divisor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26252 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m - 32. Let u be p(-21). Find the first derivative of -131 + 95 - u*s**3 + 74 wrt s.\nAnswer: -93*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -3 - -1) + -1 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15417229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7420000 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -21*v + 26. Give w(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487 is divided by 208\/104*47\/2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m + 7*m + 19*m as a + i*m and give i.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-9 - (-26 + 19) - (2 - 1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2103 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*4\/14*-3 - (-117)\/18.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**6\/120 - c**4\/24 + c**3\/3 + 2*c**2. Calculate x(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211801.3 weeks in days?\nAnswer: 1482609.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 23 = -72. Let y(d) be the first derivative of -d**4\/4 + 6*d**3 + 19*d**2\/2 - 3*d - 52. Let w be y(m). Sort 0.5, 1\/3, w in decreasing order.\nAnswer: 0.5, 1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 145*n - 145*n - 4*n**2 to w + o*n**2 + d*n and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3098386 - 24828007\/8. Suppose 3*q = -4*y + 20502, -18373 = -5*y - q + 7249. Let v = y + t. What is the common denominator of -5\/2 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103826630 < 103826628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69359 - -69362. Solve 0 + 40\/3*l**z - 52\/3*l**2 + 4\/3*l**4 - 88\/3*l = 0 for l.\nAnswer: -11, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4348 divided by -2174.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2119*m - 6474*m + 2179*m + 2177*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -131*v**3 + 252*v**2 - 115*v - 10. Let o(a) = -a**3 + 2*a**2. Let b(j) = -4*o(j) - r(j). Determine d so that b(d) = 0.\nAnswer: -2\/27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 55?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - d - 6, -v = 23*d - 19*d + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 48\/((27\/6)\/3). Let o = -21 + u. Factor -o*h**2 - 8*h**2 - 2*h + 0*h + 20*h**2.\nAnswer: h*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*s, 2*g - 8 = 3*g - 2*s. Suppose g*k = -2 - 4. What is the lowest common multiple of 4\/(6\/k) - -20 and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, s: 5}. What is prob of picking 4 s?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 51*j = 49*j + 3170, -r - 5*j = -657. What are the prime factors of r?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/250837839 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*f - 16, x - 18 - 1 = -5*f. What is the second smallest value in -4, -16, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1092060 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 + 301 = 6*o. Let b = 34 - o. Solve b = -3*x + 7*x - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 8*y - 1. Let f = -12 - -6. List the prime factors of n(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rur when three letters picked without replacement from uruauuuuuaaurrur?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*-862*1*(-8)\/16?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 17*x = -6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -329.48 + 334. Let q = d + -4.52. Put -53, 6, q in decreasing order.\nAnswer: 6, q, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -227\nAnswer: -15\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/5)\/72*-9.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11381, -45550, -102507, -182252, -284785?\nAnswer: -410106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8 - (-240)\/30)\/(-3 + 0). Which is smaller: 30\/43 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/14*(-2 + 48\/30)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 0.2, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 bigger than 102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 0.22 (b) -2\/5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.177878ml in litres?\nAnswer: 0.002177878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113 - -134. Calculate the lowest common multiple of 1251 and j.\nAnswer: 8757","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.51938145 + -657424.\nAnswer: -657425.51938145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000080851 to 7 decimal places.\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 757522, 757528, 757534?\n\"Answer: 6*f + 757516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -59310.32*0.3\nAnswer: -17793.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 4 + 0 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*c - 22*c**2 + 49*c)*((0*c + 2*c + 0*c)*(-3 + 3 - 9) + c - c - c).\nAnswer: 418*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h + 3*h - 7*h**2 + 8*h**2. Let a(m) = -13*m**2 + 6*m + 6. Let l(x) = -25*x**2 + 11*x + 11. Let f(n) = -11*a(n) + 6*l(n). Determine c(f(j)).\nAnswer: 49*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 341 + 326 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + (0 - (-2 + 0)). Suppose -10 = -h - h. Suppose 2*t + z = -h*g, 47 = 4*t - 5*g + 20. Calculate the lowest common multiple of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14454 + -419127\/29. What is the common denominator of 47\/1798 and h?\nAnswer: 1798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 264930678*a + 5849022012128307.\nAnswer: 3*(a + 44155113)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -21222 (base 3) to base 14\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1398 divided by -2?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 20*x**2 - 188*x + 9. Determine w(-27).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5 + 41*l**4 - 1598*l**3 + 15320*l**2 - 57632*l + 76160 = 0. Calculate l.\nAnswer: -68, 4, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2040 = 5*h, 2*t - 329 = -2*h + 487. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8106 and 28287.\nAnswer: 10918782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -49.6955 - -946\nAnswer: 896.3045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8567 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(96\/(-66))*(-3)\/((-6)\/8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -53, -193, -423, -743?\n\"Answer: -45*n**2 - 5*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpep. What is prob of picking 1 e and 1 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 147*b**5\/5 - 63*b**4\/5 - 72*b**3\/5 - 12*b**2\/5 = 0. What is b?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 1:38 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-153504)\/3264 - -2) + 1\/34.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = v - 7, -48364*g + v = -48362*g - 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 49. Suppose 10*d - 8 - 22 = h. Is 12 + ((0\/d)\/4)\/(-1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 203987 and 11753.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -621102 by -6.\nAnswer: 103517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5605 - 11228 + l**3 + 5623.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 7 + 6 - 137200*c.\nAnswer: -137200*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 10. Let q be a(10). Let x be (-8)\/q - (-466)\/10. What is the second derivative of -x*m**2 + m - m**3 - 12*m + 47*m**2 wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10006474?\nAnswer: 2, 101, 49537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915550.\nAnswer: 2, 5, 18311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 3*a + 8 = -c, 0 = -4*c + 5*a + 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(((-10)\/(-6))\/1))\/((-17451)\/2770)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + 3. What is the remainder when b is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j + 121295 = -508466. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 244647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 f when three letters picked without replacement from oofofoloooololll?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1030016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/9*r**2 + 0*r - 1\/9*r**4 - 2\/9*r**3 + 0.\nAnswer: -r**2*(r + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, -2, 2, 6, -5, -6, 2611?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 22\/7*n**4 - 8\/7*n**5 - 2\/7*n**2 + 2\/7*n - 18\/7*n**3.\nAnswer: -2*n*(n + 1)**3*(4*n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t + 15. Let k be (-112)\/42 - (-2)\/(-6). Let j = -9 - -7. Put j, t, k in descending order.\nAnswer: t, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (336\/(-210))\/(2\/(-5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.29 + -0.89. Let w = 0.4 + -0.3. Let g = z + w. Which is the biggest value? (a) g (b) 0.02 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(sqrt(2448) + -1).\nAnswer: -7 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/6)\/(7\/(-2)). Let q = -612\/5 - -122. What is the third biggest value in q, t, 1\/6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368 = 82*k - 36*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*m - 4, 4*o - m = 14. Suppose 0*i = -3*h + 4*i + 58, -o*i + 46 = h. Let j = -15 + h. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 241, 3, 26 in decreasing order.\nAnswer: 241, 26, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -109\/4 - -27. Let f = 3 + -3.5. What is the closest to 0 in f, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and 0.257.\nAnswer: 0.01799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2229536 smaller than -2229536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*n**2*o**3 - n**2*o**2 - 4*n**2 + 21922*o + 282180 wrt o?\nAnswer: 9*n**2*o**2 - 2*n**2*o + 21922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9492 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = o + 1, -o - 16 = -5*a - 3. Suppose h = n + 4*h + 10, o*n + 5*h = -18. Sort -2, 2\/11, n in decreasing order.\nAnswer: 2\/11, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 1. Let c(p) = -4*p + 2. Give -3*c(q) + 7*w(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysk when three letters picked without replacement from {y: 4, q: 2, e: 4, p: 1, k: 2, s: 1}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*(-376)\/7896?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 879338?\nAnswer: 2, 29, 15161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**6\/15 - l**5\/10 - l**4\/2 + 5*l**3\/3 - 2*l**2 - 4*l. Factor z(j).\nAnswer: 2*(j - 1)**3*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iilzlidzmz. What is prob of sequence llm?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 - -104651?\nAnswer: 104671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -216*a**4 + 382*a**2 wrt a.\nAnswer: -5184*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -442502 = -2*f - 4*q, 9*f + 442506 = 11*f + 5*q. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3228 = -3*n - m + 2476, 2*n - 3*m = 3799. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 45*m**2 + 252*m - 89. Let b be c(50). Solve 574 = b*j + 673 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + (-6*sqrt(33)\/sqrt(3))**2 + 5 + ((sqrt(1331) - (sqrt(1331) + -2 + sqrt(1331) + 4) - sqrt(1331)) + sqrt(1331) + 4)**2.\nAnswer: -44*sqrt(11) + 1739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/4)*j)\/((j\/(j\/(j*j*j*j**(-7)\/j*j)))\/j)*j**(-1\/2)\/j*j*j**(-8))**(19\/4) assuming j is positive.\nAnswer: j**(-247\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 12, 2, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -222*l - 5777. Let u be m(-26). Let z(t) = -t**3 - 5*t**2 + 2*t + 0*t + 0 + 4. Calculate z(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(((sqrt(1584) - (-2 + sqrt(1584)))*-1 - sqrt(1584)) + sqrt(1584) - 5*sqrt(1584)*1)*-6)**2.\nAnswer: 8640*sqrt(11) + 1425744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = -12*a - 27*a + 490 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o + 56. Suppose -5*j = -3*j + 2, -5*t - 3*j = -72. Let x be w(t). Let s(z) = -4*z**2 + 0*z**3 - z**3 + z + 0*z**3. Determine s(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 325 + 10 = 0. Let p be 662\/18 - (-14)\/a. Suppose -49 = -5*s - 2*d - 0*d, -5*s + 4*d = -p. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 4)*-1 - -3. Suppose y = -5*v + 34 + 96. Which is smaller: 29 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 627462550 divided by 13\nAnswer: 48266350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 k when four letters picked without replacement from {k: 3, z: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 124\/16 + 2\/8. Suppose y*i - 3*i = 11340. Suppose -4*n = -108 + i. What is n rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*u + 42, 15*f - 10*f = -5*u + 70. Solve -153 = f*g - 195 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lni when three letters picked without replacement from {i: 7, n: 2, g: 2, l: 1}?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/32 and -71\/72.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 2 - -12) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(2) + 3 + -1.\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -10*t**3 + 13*t**2 - 10*t + 7. Let w(m) = 2*m + 9. Let r be w(-7). Let g(s) = 7*s**3 - 9*s**2 + 7*s - 5. What is r*q(b) - 7*g(b)?\nAnswer: b**3 - 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.308 - -0.108. Which is smaller: -3 or v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 5 + 4 - 2 + 5*l. Determine g(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/52 + -49\/156. Let p be (-8)\/14 - ((-12)\/21 - 2). Suppose -2*h - 6 = -8*h. Sort h, p, a in decreasing order.\nAnswer: p, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 18*m + 20*m + 70095, -2*a + 46740 = 2*m. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 - -111. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 49 = -u. What is the closest to -1 in u, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13535.25 rounded to the nearest 10?\nAnswer: -13540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 264201436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 c when three letters picked without replacement from {e: 3, w: 3, c: 5, n: 6}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19087 or 19088?\nAnswer: 19088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*y**2 - 4*y + 30*y - 11*y - y - 13*y to s*y + b + j*y**2 and give j.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(1\/6))\/(d*d\/(d**(-1\/4)*d)) assuming d is positive.\nAnswer: d**(-5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-17)\/(-357)*-14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 2 - 2, -k = -4*q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95187.\nAnswer: 3, 31729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3631732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a micrometer in nanometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -89319908.5 - 11?\nAnswer: -89319919.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 390003 and -0.051.\nAnswer: -19890.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-23 + -1) - ((0 - -35) + -43)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35232 + -23612. What is v rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8508384 and 2658870.\nAnswer: 42541920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.0482 - 0.0482. Which is the closest to -0.2? (a) -1\/5 (b) -0.1 (c) t (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + sqrt(832) + -1)**2.\nAnswer: -128*sqrt(13) + 896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4257, 8652, 12943, 17130?\nAnswer: 21213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1013994?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - a**2 + 14*a - 10. Determine d(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -3\/7, 1, -4.71, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7161 - -7229. Solve g = -m*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 0*s**3 - 1\/2*s**2 + 4*s + 7\/12*s**4 + 0. Calculate x(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5655, -5189, -4413, -3327, -1931?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 51*d**2*t + 3*d**2 - d*t**2 - 10*d*t - 299*d + 11 wrt t?\nAnswer: 51*d**2 - 2*d*t - 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 54655.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -32*r + 1793. Give j(54).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 772, 37, 1, -3, -28 in decreasing order.\nAnswer: 772, 37, 1, -1, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28410692?\nAnswer: 2, 1663, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u - 19. Let k be c(9). Find the common denominator of 89\/22 and 0 + (-74)\/(-20) + k + -35.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 2:07 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**2. Let x(q) be the first derivative of -31*q**2 - q - 2804. Calculate x(t(c)).\nAnswer: -248*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*q + 3 + 2, -5*q - 11 = v. Let k be 1*-12*(-3)\/12. Is 390\/v + k\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 117848 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 561, -199\/4, 0.4?\nAnswer: -199\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 1703487388 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v - 12. Give u(-8).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3036 or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 5. Let v = 10 + x. Let o(l) = -l**2 + 5*l - 2. Let h be o(4). Solve 3*g + h*p = 3*p, 0 = -2*g + v*p - 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -11 - 3*u - 1 + 4*u**2 - 5*u**2 + 2. Find the first derivative of k(c) wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-43)\/203 + 78\/1131)\/((-3)\/(-12))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -591*b**3 - 4*b**2 + 126*b + 482. What are the prime factors of g(-4)?\nAnswer: 2, 18869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 9*t**5\/4 + 195*t**4\/4 + 123*t**3\/4 - 3663*t**2\/4 - 600*t + 300 = 0.\nAnswer: -20, -5, -1, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129564 is divided by 14355.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 - 377\/6. Let q = 13.2 + -13.5. Put q, s, 0.2 in ascending order.\nAnswer: q, s, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70*13\/260*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137355.7g to milligrams.\nAnswer: 137355700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -1.18.\nAnswer: 10.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/5 and -55\/350021?\nAnswer: 1750105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 119601597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 17175434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124433 = 2*m + 2*t - 6439, 10 = -5*t. Let r = m - -93627. Let p = 21832 - r. Round p to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 580 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 4:03 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -29675, -29627, -29593, -29579, -29591, -29635?\n\"Answer: -q**3 - q**2 + 58*q - 29731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -138e3 (base 15) to base 6\nAnswer: -1202323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 13360563 = -2*m + 13360678, 0 = 4*v - 5*m - 115 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.29 and -0.201101?\nAnswer: -0.05831929","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 147 = 598. Calculate the remainder when 191 is divided by q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 782*p**5 + 6*p**2 - 19?\nAnswer: 46920*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 + 310120?\nAnswer: 310202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*w**4 - 7*w + 30*w**4 + 2*w**3 + 1 - 203*w**2 + 292*w**2 in the form f + r*w**3 + c*w**4 + t*w**2 + s*w and give t.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 14, -8, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2608 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 q when four letters picked without replacement from {q: 5, c: 7}?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6466274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**4\/12 - f**3\/6 + 28*f**2 + 21*f. Let q be u(-8). Solve q = -0*j + 4*j - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**4\/12 + 8*t**3\/3 + 171*t**2\/2 + 27*t + 2. Let y be i(23). Calculate the greatest common divisor of 810 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4734, -4768, -4812, -4872, -4954, -5064, -5208, -5392?\nAnswer: -5622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 36*s**3 + 5*s**2 - 11*s + 8. Let z(m) = -44*m**3 - 6*m**2 + 11*m - 9. Calculate -6*r(c) - 5*z(c).\nAnswer: 4*c**3 + 11*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**2 + 6*d + 272. What is l(-14)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 38*p**2 + 31*p + 135. Give a(-5).\nAnswer: 930","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2106*l**3*v**4 + 75*l**3 + 5*l + 2*v**4 wrt v?\nAnswer: -8424*l**3*v**3 + 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 5*o - 5, 3 = -5*z + z - 3*o. Suppose z = 8*j - 13*j + 15. Solve -j*i + 6 = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1617987 is divided by 231139.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/27 in 0.1, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 6*a**2 + 5*a + 14. What is s(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -244, -5, 0.5, -6.673, -1\/2 in increasing order.\nAnswer: -244, -6.673, -5, -1\/2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2\/5*y**3 + 2\/5*y - 6\/5*y**2 + 6\/5 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -3.3. Suppose -159*u - 132 = -74*u - 63*u. What is the second smallest value in u, i, 2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(16\/9)*x\/x**3 assuming x is positive.\nAnswer: x**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (208\/312)\/(4\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 226259221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-4))\/((28\/20)\/(-9*(-31)\/465))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 196 - 620\/3. Suppose -2*r - r + 36 = -4*y, 2*r - 8 = 0. Find the common denominator of (-109)\/14 - 3\/y and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -727.\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -16\/3*r**3 + 7\/2*r**2 - 84 + 0*r. What is the second derivative of v(g) wrt g?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2242 = -343*x - 3068 - 1550 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a - 4?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1900*b - b**2 - 1900*b.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-13)*b)*b*b*b\/((b\/b**4)\/b)*b)\/(((b**(3\/10)\/b*b)\/b)\/b)**(3\/10) assuming b is positive.\nAnswer: b**(2151\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 148 - 174. Let p = 53 + w. Which is the nearest to p? (a) 0.3 (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, -204, 167, 2\/3?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0434 - -2.0434. Let d = 517\/7 + -74. What is the second smallest value in d, o, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 5*n + 10, 2*i - 3*i + 2 = -3*n. Solve -9*v + i = -8*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1892 (b) 16\/3 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 663107*t - 2652419. Calculate x(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.001 - 0.039. What is g rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, h: 9}. What is prob of sequence hh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 3:28 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 684\/2198143 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -176922, -707700, -1592346, -2830866, -4423266, -6369552, -8669730?\n\"Answer: -f**3 - 176928*f**2 + 13*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 - 2*y**2 + 4*y**2)*(7*y - 7*y - 3*y**2) + 2*y - 2*y**4 + 4*y - 3*y.\nAnswer: y**4 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -500317*t**3 - 271895 wrt t?\nAnswer: -1500951*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 3:10 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413*n + 30610 = -10690. Solve 130 = -n*s - 170 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1879*a - 96632 = -6876 + 34258 for a.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15447462 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (30 + 23 - 17).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 7\/24*o**4 + 0*o + 2\/3*o**3 + 0 - 2*o**2. What is the units digit of c(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143\/6, 4, 24, 7.5, 1.1 in decreasing order.\nAnswer: 24, 143\/6, 7.5, 4, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 7. Suppose -b + r*b - 6 = 0. Determine t so that 4*t**5 - 2*t**5 + 2*t**b + 0*t**5 + 4*t**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.34 + -180.66. Let q = -182.4 - x. Which is the fourth biggest value? (a) 3 (b) q (c) -1.1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 48683*a**2. Let q(u) = 2*u + 369. Calculate q(p(w)).\nAnswer: 97366*w**2 + 369","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32694.\nAnswer: 2, 3, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6931 - -6982.33. What is w rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2280.5 rounded to the nearest ten?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19470 and 2250?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2067*u + 2393. What is the tens digit of v(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 3*h**2 + 4. Let c(n) = 31*n**2 + 2*n - 6. Give -c(m) - 2*w(m).\nAnswer: 2*m**3 - 37*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/570 and -77\/270?\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35737, -35728, -35713, -35692, -35665?\nAnswer: -35632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((-108)\/24)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 8. Let v = -22 + 16. Let u be r(v). Let x(q) = -4*q - 2. Give x(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/sqrt(48) + (sqrt(1425) + sqrt(57))*4)\/(-3*(2*sqrt(108) - sqrt(108)) + 1*((sqrt(108) + sqrt(108) + sqrt(108)*-2 - sqrt(108)) + sqrt(108))).\nAnswer: -97*sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqxxxq.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -611\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 11*b - 6*b. Let a(m) = 64*m - 1. What is the remainder when a(b) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s = -23*s + 66. Suppose -700 = -y - 4*y. Let z = y + s. Does 20 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - -4*-1*sqrt(180) - 1*sqrt(180)*4)*-5 + 1*((-1 + sqrt(180))*3 - sqrt(180) - (sqrt(180)*-2 + -2))*-3)**2.\nAnswer: 828*sqrt(5) + 95229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 + 0*q + q - 68*q**3 + 31*q**3 + 2 + 36*q**3 + 7*q**2 as f + r*q**4 + b*q**3 + n*q + u*q**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/6 + 5978153*t\/2 - 8967229\/3 = 0 for t.\nAnswer: 1, 17934458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 560?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38856826297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13881 + -7741. List the prime factors of d.\nAnswer: 2, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415 is divided by 205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9020 a factor of 3679754100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 8*o + 6*o)*(3*o - 7*o + 2*o)*(-2*o - 2*o + 5*o).\nAnswer: -18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 272 - 270 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 60 = 2*g. Suppose g*h - 16*h + 82 = 0. List the prime factors of h.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 4\/7 (c) 0 (d) -527.3 (e) -5 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -21\/10, -3, 5, 2, 3, 7, 0.07 in increasing order.\nAnswer: -3, -21\/10, 0.07, 2, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/8 - 3\/8. Let p = 1.2 - -8.8. Let r = p - 12. Which is the closest to 0.2? (a) s (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 51*f - 165. Let l be o(54). Let t(s) be the second derivative of s**4\/12 - s**3\/3 + s**2 + 3*s. Give t(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ili when three letters picked without replacement from {t: 1, h: 4, i: 4, l: 1, p: 1, c: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/10)\/(14\/70).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((16\/4)\/(-12)). Let j = i - 1. Let c(k) = -k**3 + 5*k**2 + 7*k - 6. Let u be c(6). Which is bigger: j or u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149.98 + 150. Are x and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -361*x**7\/21 + 1786*x**6\/15 - 5764*x**5\/25 - 376*x**4\/15 - 16*x**3\/15 + 611*x**2. Factor i(h).\nAnswer: -2*(h - 2)**2*(95*h + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3) + (-2)\/3. Let h = 158 + -160. Put h, 5, s in descending order.\nAnswer: 5, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -7, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 236 = 2*l, -w - 146 = -3*l + 100. Let h be ((-6)\/5)\/(18\/w). Suppose 0 = 2*v - v - h. What is the remainder when v is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/21, 2, 4, -4, 3795\/4, -1?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2437 and 2437 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103 by 7.\nAnswer: 103\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 11*r**2 + r + 7. Let o be x(-11). Let q = o + -929. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -30 - 8 - (-16 - -11)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 28 = -17*w, -5*w - 20 = -3*z - 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/29)*j)\/(j*j\/j**(6\/5)*j))\/(j**(-2))**(-35))\/((j\/(j**(6\/5)*j))\/j*j**(-6\/7)*j**(-5\/3)\/(j*j**(-1))) assuming j is positive.\nAnswer: j**(-201412\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/3)*(m**8\/m)\/m)**(4\/37)*(m*m\/m**(-1)*m)**(-42)*m**(-1)\/(m*m**0) assuming m is positive.\nAnswer: m**(-18778\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1088)\/3400)\/((-4)\/(-20)))\/((-12)\/2).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 75*x**2 + 4 - 14680*x**3 - 71*x**2 + 14638*x**3 to m*x**2 + n*x + t + f*x**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -16401*a**3 + a**2 + 46*a + 24. Let i be m(-6). Round i to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1088 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) 12 (c) 3 (d) -99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13004250 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -7 - 3) + (3 - 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -22*d**3 - 12165*d**2 + 553*d = 0.\nAnswer: -553, 0, 1\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/7))**8)**(-50) assuming a is positive.\nAnswer: a**(-2400\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1872, -1, 3, -4, 5, 0 in decreasing order.\nAnswer: 5, 3, 0, -1, -4, -1872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.022 - -10. Let i = 0.0219975 + w. Round i to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26769915 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**3 - 10*w**2 - w + 6. Let c be g(-3). What are the prime factors of -514*(8 + -6)*(c - 1)?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3214, 3215, 3216, 3217, 3218?\nAnswer: 3219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -10*s**2 - 131*s - 17. Give y(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5671255 tonnes to nanograms.\nAnswer: 567125500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40404041 and 710.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39.4? (a) -63 (b) 1\/14 (c) 1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 6*f + 5. Let u be m(-6). Let x = -4.87 - -0.87. Which is the closest to -2? (a) u (b) x (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -87\/44, 0.3, 0, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -k**5\/12 + 2*k**3\/3 - 46*k**2 + 93. Let r(p) be the third derivative of f(p). Let s(t) = -15*t. What is r(s(c))?\nAnswer: 150*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 734331 and 10127?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -140*o - 6. What are the prime factors of h(-1)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 74*n**2 - 1555*n + 122264. Determine i(75).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j**3 - 16*j**2 - 5. Let o(v) = -v**3 + v**2 + 1. Let t(a) = -5*o(a) - s(a). Find the third derivative of t(m) wrt m.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35931 from -1.3.\nAnswer: -35932.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -547285, -547128, -546971?\nAnswer: -546814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(441)\/sqrt(225))\/(5*1*sqrt(567)).\nAnswer: sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2. Let z(j) = 13*j**2 + 9*j. Let c(h) = -3*h**2 - 2*h. Let b(x) = -9*c(x) - 2*z(x). What is b(i(g))?\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000111010110111110 - 101?\nAnswer: -11000111010111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -20. Suppose -f = -3*f + y. What is the greatest common factor of 24 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*n + 9, m + 14 = 4*n - m. What is the units digit of n + 50 + -1 - 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32461734*b**2 - 20662323*b.\nAnswer: 64923468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 3, -28, 5, -1816?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44260*u*x - 30881*u - 2 wrt x.\nAnswer: 44260*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1460 by 93031.\nAnswer: -1460\/93031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (18 + -4 - -7) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*a - 152 = g, 0 = -g - 2*a + 150. Let i = -146 + g. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/3487?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 55. What is the remainder when 54 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 15*n**2 - 13*n - 15. Determine a(16).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 11) + (5 - -10) - (2 + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7792?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -5*p**4\/12 + 59*p**3\/6 + 50*p**2 - 2*p. Is 59 a factor of b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-570177)\/(-465)*210\/8. Let n = y - 32187. What is the common denominator of 43\/16 and n?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87269*p**5*u + 25*p*u - 523*p wrt p.\nAnswer: -1745380*p**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7569*t + 30 = -7559*t. Solve t*w - 3*b = -0*w + 3, -7 = -3*w + 2*b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - n - 12 = 0. Suppose -n*b + 9*b + 147 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 7*i**2 + 36*i - 2. Suppose 67 = 15*p - 68. Let f be l(p). What is the highest common divisor of f and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 1 + 5 - 2*i - 559*i**2 + 105*i**2 - 3 as a*i**2 + t*i + u and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1613 (base 14) to base 15\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 79303 times -1?\nAnswer: -79303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/45*-3)\/(45\/(4500\/40)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -13*q - 314. Let g(k) = 4*k + 1. Calculate -6*g(s) - 2*w(s).\nAnswer: 2*s + 622","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3973, 7938, 11897, 15850, 19797?\n\"Answer: -3*s**2 + 3974*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 m when four letters picked without replacement from zzrmmkzmeeemkzrr?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -0.1, 3, 132, -223, 1 in decreasing order.\nAnswer: 132, 3, 1, -0.1, -1, -3, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.82 - 24.72. Let y = 22 + o. Let h = -5.08 + 0.08. Which is smaller: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 6*q**2 - 5*q - 17. Let f be m(7). Let j be 9\/f - (-4 + 2 - 4). Solve 0 = -5*o - j*t + 19, 4*o - o - 2*t - 19 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -41 - 24) + (1 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 5) to base 15.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1774201282?\nAnswer: 2, 7, 37, 41, 139, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojcydccycdd. Give prob of sequence ddc.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -597?\nAnswer: 59.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.225 + 0.075. Sort 2, -20, k, 5 in ascending order.\nAnswer: -20, k, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5)*p*p*(p**(3\/7)\/p)\/p*p)\/(((p\/(p*p**(2\/3)))\/p)\/p*p)**(1\/7))**(-1\/44) assuming p is positive.\nAnswer: p**(5\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + 20. Suppose -q + 8 = -4*x, q + x + 3*x = s. Calculate the remainder when q is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3540 divided by -30.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from {n: 4, s: 4, w: 2, a: 3, x: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a + 3. Let k(d) = -26*d + 16. Calculate 2*k(g) - 11*l(g).\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-eight thirds of a day?\nAnswer: 27840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34892 and 4576.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.518288 millennia in decades?\nAnswer: 351.8288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.196 (b) -549 (c) 3 (d) -0.1 (e) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -o + 10*o - 254685. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0126 - -0.01259545. What is w rounded to seven dps?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61596 divided by -20532?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6179415 and -0.5.\nAnswer: 3089707.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-15))\/((-11)\/55)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w**3 - 2*w**3 + w**3)*(-105*w + 83 - 83)*(2 + 2 - 3) in the form l*w**3 + k*w + b*w**4 + d + c*w**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12038656 or 12038620?\nAnswer: 12038620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -12\/11, -261, -54?\nAnswer: -261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.5 (b) 3\/2 (c) 4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w**2 - 8*w**2 - 3*w - w**3 + 1 - 7*w**2 to l*w**2 + f + u*w**3 + j*w and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 11) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -3*f + 4*d + 2, 0 = 56*f + 4*d - 7244 + 5768 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17.7 * -3\nAnswer: -53.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 55*1 + (-2 - -2). Let f(b) = -b**3 - 7*b**2 - 8*b - 7. Let l be f(-6). What is the greatest common divisor of m and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3828*l + 3361 with respect to l.\nAnswer: -3828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (6 + -3 - 6) + (-55 - -51).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 375\/10 - (-6)\/(-4). Suppose -2*n + x = -4*s - 0*s, 0 = -s. What is the remainder when 52 is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)\/(y\/(y*(y\/(y*y**(-6)\/y))\/y)))**48 assuming y is positive.\nAnswer: y**272","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -18.6 <= 0.160741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65446 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1176 + 0.3047. Round z to two decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d**1\/d)*d*d*d))\/((d\/(d*d\/d**1))\/d))\/((d*(d*d\/(d**(3\/7)*d))\/d*d)\/d**5) assuming d is positive.\nAnswer: d**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 62329332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-37)\/(-19) + -2). Let n = -193\/6 + 32\/3. Let p = f - n. Sort 4, p, -1 in decreasing order.\nAnswer: 4, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208730 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 3\/(-18) - 3157\/(-66). Which is smaller: k or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from rphhvpmri.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + -2*-2*sqrt(612) + 3)**2.\nAnswer: 144*sqrt(17) + 9801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-22)\/w*w))\/w*w*w\/w**(-5\/7) assuming w is positive.\nAnswer: w**(166\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*d**2 + 24*d**2 + 7*d**2 + 3*d**2 + 28*d**2.\nAnswer: 37*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) + (-28)\/(-28) + (-215)\/146. What is the third smallest value in x, 8, -0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - i - 3*i. Let j be r(-5). Let k = 838 - 836. Solve -7*h - j = -k*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152523261 rounded to the nearest 10000?\nAnswer: 152520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1168055600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3874 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.446 + -3.4. Let t = o + 0.454. Which is the nearest to 1\/3? (a) 5 (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 112.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a638708 - -5?\nAnswer: a63870d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 107, 0, 4, -448, -3 in decreasing order.\nAnswer: 107, 4, 2, 0, -3, -448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33278 and -1.\nAnswer: 33278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -12*f**3 - 5*f**2 - 2*f + 5. Is a(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 13681*b**3\/6 + 183*b**2\/2 - 4*b + 554. What is the derivative of s(l) wrt l?\nAnswer: 13681","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14)\/(-8))\/((-5)\/(-6140)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 55*n**3 - 492*n**2 - 18*n - 17. Determine s(9).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2048 or -2047?\nAnswer: -2047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*r + 22. Let b(q) = -q + 2. Let n(u) be the first derivative of -3*u**2 + 11*u - 5. Let a(w) = r*b(w) + 4*n(w). Let y(o) = o. Give y(a(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 2, 3*m = b - 128 + 43 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1616.8709 + 1617. What is l rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*w**2 - 55*w**2 + 207*w**2 - 50*w**2 - 51*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -4\/9, -1\/8, -10, 0.8, -1\/7?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 275403*h + 153093.\nAnswer: 275403","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -69264 + -0.4?\nAnswer: -69264.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 12:19 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1472 and 644.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19351549 - 12937549. Suppose 38*b - 32*b - i = 0. Round b to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 570*y + 13. Let h(d) = -380*d - 9. Let w(f) = 7*h(f) + 5*k(f). What are the prime factors of w(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 212*g - 6 = 209*g, 4*b + 32*g - 28*g - 8 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -102\/3566887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, i: 3, c: 3, q: 2, p: 5}. Give prob of sequence lqp.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9868.582 litres to millilitres.\nAnswer: 9868582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 166*a - 1164. Calculate n(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (0 - (-1 + 1 + 3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -203779 - -427140. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201963, 201965, 201969, 201975, 201983, 201993, 202005?\nAnswer: 202019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 535075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -2*o - o + 21*i + 20*i - 254, -29*i + 10 = -27*i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*b + 9 = 0, -b = 2*z - 4*b + 1. Let f(w) = -w**2 + 3*w + 3. Calculate f(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 + (-279)\/30 - -1 and 81\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 5. Suppose a = 6*d - d + 10. Let q = -1370\/9 + 152. What is the second smallest value in q, d, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/3)\/(7\/((-42)\/(-3)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, t: 7, e: 8}. Give prob of picking 1 s and 3 e.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15 + 10\/4*(-4)\/(-2). Solve 4*p = 8*p + f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-91*(-642)\/399217)\/9\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 222895 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18540 + 18296. Which is the biggest value? (a) 0.4 (b) o (c) 2\/3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*t + 17. Suppose h + 3*p + t = 0, 2*h + p = -p - 4. Solve 7 = -3*k - h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -j - 19366, 0 = -3*h + 7*h - 2*j - 25820. What are the prime factors of h?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.890820489 to five decimal places.\nAnswer: -0.89082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*s = -215 - 325 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 540\/66 - 56\/7 - (-134)\/(-11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 6. Let o(x) = 5*x + 29. Let k = -24 - -13. Let v(c) = k*z(c) + 2*o(c). Differentiate v(f) wrt f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*3 + 4 + 3*(sqrt(8)\/sqrt(4))**2 + (sqrt(2) - (3*sqrt(288) - sqrt(288)) - (sqrt(48)\/sqrt(4))\/sqrt(6))**2.\nAnswer: 3*sqrt(2) + 1162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 107798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5579, 5573, 5569, 5567, 5567?\n\"Answer: o**2 - 9*o + 5587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i + 15. Let p be m(7). Let t be (-10)\/30 - 20\/p. Solve 15 = -3*d + t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y - 3*y + 4*y)*(1 - 2 - 1)*(2 + y - 2).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -21 + -45 + (38 - 24)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/2*(-88)\/132. Solve 0*u + 12 = g*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58c (base 14) to base 2\nAnswer: 10001010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22892 and 5379620?\nAnswer: 5379620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 9*h - 17. Suppose -3*q + 9 = d - q, 0 = 2*d + 2*q - 14. Find the second derivative of -5*y**4 - h*y**4 - d*y**4 + 8*y + 5*y**4 wrt y.\nAnswer: -96*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 41*y - 16. Let r(d) = -20*d + 7. Determine 7*r(s) + 3*u(s).\nAnswer: -17*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2. Let g(a) = -15057*a**2. What is g(u(o))?\nAnswer: -15057*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 e when four letters picked without replacement from ejeeeeeeeeeje.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 1:23 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 240 = 5*i + n, i - 34 = -3*n. Is -3 + (i - 0) - -2 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h**3 - 104*h**2 + 24*h + 72. Determine y(-21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 3*v - 20, 2*v - 5058*l + 32 = -5068*l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3277186 rounded to three dps?\nAnswer: -1.328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572*h + 363*h + 342 = -323*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -327*j**2 - 1983*j - 300. Determine y(-6).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 300629.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1093 + 1095. Determine b so that 2\/3 + 4\/3*b - 2\/3*b**4 + 0*b**y - 4\/3*b**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6639, -13278, -19917?\nAnswer: -26556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 7*m**2 + 3*m - 14. Let x be s(-6). Solve -b - 9 = x*f, 5*b + 2*f - 7*f - 5 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, m: 1, c: 8, e: 3, o: 1, y: 2}. What is prob of sequence xc?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 70a1e?\nAnswer: 70a1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 1929*n - 3870.\nAnswer: 3*(n - 645)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25069523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 100011100011 (base 2) to base 10\nAnswer: 2275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -5, -4, -1, -73710 in ascending order.\nAnswer: -73710, -5, -4, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.18357 - -2.520751. Let b = z - 3.706. What is b rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13769)\/1124*8\/14\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 15) to base 12\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-162)\/24)\/(3\/(-4)) + -8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 30202 (base 4) to base 3\nAnswer: 1002201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - l**2 + 4*l**2)*(-3*l**2 - 13 + 8*l**2 - 16*l**2 + 19*l**2).\nAnswer: 8*l**4 - 13*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 390\/11 (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77923 is divided by 382?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*q = -2526 + 1842 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5, 3*t + 24 = 4*v - t. Let y(n) = -n**3 + 6*n**2 + 7*n + 4. Let f be y(v). Which is the third biggest value? (a) -4 (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 11) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46606 (base 11) to base 12.\nAnswer: -32b2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 125820 and 5592.\nAnswer: 251640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 73760 = 2*j + 299126, 5*b = 4*j + 466112. Let d = b - 933220. Round d to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47? (a) 1\/3 (b) -0.3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjmppjpmppmmppjp. What is prob of sequence pjm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 23*s**2 + 21*s + 25. Let o be g(22). Solve 5*w + q + q = -6, -3*q = o*w + 9 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 2, -2, -4, 3.\nAnswer: -4, -2, 2, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5319161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 396474613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-77)\/(-35) + 6\/(-10). What is the second biggest value in 0.3, y, -0.2, 6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 449653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*s + 3*v - 23 = 242*s, 10*v - 75 = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**2 + 39*p - 2183. What is m(20)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37 - -38) + (-10 - -3) - 12.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 765683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 486 and 172923903?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/2 (b) 1 (c) -2\/13 (d) 1771637 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18437812199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3441879?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6677*l**2\/5 + 160268*l\/5 - 96.\nAnswer: -(l - 24)*(6677*l - 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/2 of a day?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 783 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/482885 and -62\/2261?\nAnswer: 3380195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 160142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 5*f - 4. Let y be j(4). Let i(l) = y*l**2 + l + 6*l - l**2. What is the remainder when i(4) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 5*v + 2975, -4*b - 2*v = -9*b + 4990. What is b rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27127*c**4*g**2*y - 73*c**4 - 42*c**2 + c*g**2 - 3*c*g - 294*g**2*y - 2*g*y wrt c.\nAnswer: 651048*c*g**2*y - 1752*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 589.307 meters to kilometers.\nAnswer: 0.589307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 10*s**2. Let i(k) = -k**2 - 4766*k - 32. Calculate i(r(b)).\nAnswer: -100*b**4 - 47660*b**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 4, 0.\nAnswer: -52, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 135 = 126. Let r = 88 - d. Let c(w) = -3*w**2 - w. Calculate c(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsjsjssssjjjj. What is prob of picking 1 j and 1 s?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 456\/7, 37\/43 in decreasing order.\nAnswer: 456\/7, 37\/43, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 10*j**2 - 2*j - 14. What is y(5)?\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12779 and 416.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6*-1*3. Let d(o) be the second derivative of 5*o**4\/12 - o**3\/3 + o**2\/2 - 5*o. Let b be d(y). What is the closest to 2 in 0.1, -4, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90269 or -90334?\nAnswer: -90334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*(-3 + 1*sqrt(242)*-1) + -1 + 1).\nAnswer: -44*sqrt(2) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*f**5 + 2508*f**4 + 1116*f**3 + 112*f**2 = 0.\nAnswer: -2\/7, -2\/13, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 10*d + 49. Let p(l) = -2*l + 2. Let o(t) = -3*p(t) - z(t). Let u be o(-33). Calculate the greatest common divisor of 44 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1558106956 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 p when four letters picked without replacement from {k: 9, p: 9}?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6912515 divided by 5.\nAnswer: -1382503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 16 - 63*m + 31*m + 34*m. What is the least common multiple of d(0) and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/9102*(-93)\/(11160\/(-1480))?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 0*s - s + 0*s + 7. Let t be x(4). Suppose -2*b = -0*b + t*b. Solve -2 = -5*r + 2*i - b*i, 2*r + 4 = 2*i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c + 5. Let d(i) = -4 - 3 - 9*i + 4 + 6 + 12*i. Calculate 5*d(v) - 3*t(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2027*i*x**2 - 1678*x**2 wrt i.\nAnswer: -2027*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-279)\/(-18))\/((-2)\/(-12)). Let h(g) = x*g - 56*g - 36*g. Let t(q) = 37*q**2 - 19*q**2 + 76*q**2. What is h(t(k))?\nAnswer: 94*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004188 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/8 (b) 3 (c) 1485.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0128 bigger than 5011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -0.21 (c) -1.1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + sqrt(192))*-3)\/(sqrt(6) + sqrt(6) + (sqrt(72)*2)\/sqrt(12)) + (2*sqrt(90) + sqrt(90))\/sqrt(5) + -4.\nAnswer: -4 + 21*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -490*p**3 - 101 - 257*p**2 - 273*p**2 + 527*p**2 wrt p.\nAnswer: -2940","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 24 = 2*h. Solve -h*i - r - 16 = 0, -4 = -i + 2*i + 2*r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -49594*i - 1049. What is the thousands digit of u(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/45870084 and 65\/216.\nAnswer: 91740168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -708c - 9?\nAnswer: -7097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - c = -2, -12*o - 3*c + 6 = -16*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -389*m + 345*m + 3354604. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*s + 2151051 = -64*s. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -40, -23, -3 in descending order.\nAnswer: 4, -1, -3, -23, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.339 + 0.061. Let h = -7.399585 + f. Round h to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 + 89 = 2*b. Let t be 22\/(-187) + (-72)\/(-34) - b. Put 1, -1, 4, t in decreasing order.\nAnswer: 4, 1, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14188310 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 3*w + 6. Let g be o(-3). Let f be 91*-3*(-2 + 0)\/g. Let m = f - 48. What are the prime factors of m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 + 68. Let o = -110 - -10012\/91. Let q = o + 83\/364. What is the third biggest value in l, 3\/5, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67 by 14.\nAnswer: 67\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51940.44mm to nanometers.\nAnswer: 51940440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + -0.7. Let s = g + -6.2. Let m = 6.9 + s. What is the nearest to 0 in -0.5, 2\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10 + (-5 + 23 - 6). Let l(j) = 4*j**2 - j + 1. Calculate l(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c - 1. Let y(l) = -1010*l**2 - 12*l + 2. What is -6*f(o) - 3*y(o)?\nAnswer: 3030*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1687 - -2035. What is the remainder when c is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6351 greater than 4227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5 + 7 + 1 + 2 - 7*x. Let n(f) = 22*f - 16. Suppose 22 = 2*i - 10. Let v(a) = i*y(a) + 5*n(a). Let k(q) = 4*q. Give k(v(j)).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.00435 + -49.18435. Let j = -0.02 + k. Let q = j - -63. What is q rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**4 - 90*n**3 + 6*n**2 + 6891*n wrt n.\nAnswer: -24*n**2 - 540*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + s - 4875, -3*b - 85*s = -90*s - 14617. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (-3 - (334 + 1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.2, 0.0019, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003436839428 rounded to 5 decimal places?\nAnswer: 0.00344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -321*l. Let n(m) = -m + 9. What is n(s(g))?\nAnswer: 321*g + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*r + 126 + 308 - 128 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3289.\nAnswer: 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -42304553?\nAnswer: 42304541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 330 - 182. Suppose w + 4*y = a, -4*w - 5*y + 403 + 200 = 0. Calculate the least common multiple of w and 10.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t - 37. Let q(w) = -32*w - 184. Calculate 11*d(g) - 2*q(g).\nAnswer: -2*g - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-4) + 14\/392*161.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 16 + 18*d**2 + 28 - 3*d**2.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -246, -71, 3, 4 in decreasing order.\nAnswer: 4, 3, 1, -3, -71, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -419938, -839877, -1259816, -1679755?\n\"Answer: -419939*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1692780 to the power of 1\/2, to the nearest integer?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -199.3 to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1207076 divided by 7228\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 5:48 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*z, -2*z - 28 = -3*s - 4*z - 19 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 51010451 and 51010456 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, n: 8}. What is prob of sequence nnn?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -72.7 to 0 dps.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 695\/4 or 174?\nAnswer: 695\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36408, -38032, -39656, -41280, -42904?\nAnswer: -44528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-5)\/(20\/(-16))). Suppose 2*z = -4 - 6, h = j + 2*z - 153. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 139888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (0 - 12 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 34\/(-27)*18\/(-3). Let m = z - 671\/90. Find the common denominator of 0\/(-1) - 302\/36 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 24. Let i be (1\/2)\/((-29)\/(-9) + -3). What is the third smallest value in -0.3, v, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1170881, -1170985, -1171089, -1171193, -1171297, -1171401?\n\"Answer: -104*p - 1170777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2394*-0.1\nAnswer: 239.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 + 32*o + 33. Calculate n(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39905 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -0.5, 13, -2, -9\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -135?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, z: 2, b: 1, c: 1, e: 2, s: 1}. Give prob of picking 1 s, 2 a, and 1 z.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 10*h + 28 = 24*h - 13*h, 0 = -2*p + 3*h + 28 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4 - 7*j**3 + 1349*j**2 - 16245*j = 0 for j.\nAnswer: -45, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6933660 + 6933660 + 2*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -105*d**2 - 5*d - 5. Let s(x) = -106*x**2 - 6*x - 6. Give -6*r(v) + 5*s(v).\nAnswer: 100*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(2 + 2\/(-4)). Suppose -5*n + 2*h + 26 = 0, -12 = -m*n + h + 3. Let w = 8 + 3. Calculate the remainder when w is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 + 80*y**3 + 1.\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 81.8 <= -54\/161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 304, 315, 288, 211, 72, -141, -440?\nAnswer: -837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16 (b) -1\/6 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -68456, -65038, -59340, -51362, -41104, -28566, -13748?\n\"Answer: 1140*n**2 - 2*n - 69594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/12 and (-2)\/13 + (66939\/12012 - 5).\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + a**2 + 0*a)*(0*a + 2*a + a)*(27 + 4*a - 2*a - 2).\nAnswer: 6*a**4 + 75*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -162 or 0.64?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1405592 by 8.\nAnswer: 175699","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (-2 - 1) - (-2)\/1. Suppose 4*s + 4 = 16, 2*b = w*s. Suppose b*v + 73 = 5*g, -v = -4*g + 4*v + 48. Calculate the remainder when 45 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v - 7. Let l be w(8). What is the greatest common divisor of 27 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9539*z + 18602*z - 9065*z - 102*z**3.\nAnswer: -102*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 7. Suppose -12 = 5*i - 2*l - 31, v = 2*i + l. Let w be -3 + (8 - 8 - -5). Solve -4*c = i*d + 16, w*d = 4*c + 4 + 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*g + 5*m, 3*m - 129 = -3*g - 126 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/26 and 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2. Let y(u) = 3*u**2 - 20*u + 10. Let n(o) = x(o) + y(o). Let c be n(9). Is c less than or equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o + 242*o - 4301884111 + 1483634111. Round o to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16368140?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 5*y + 5. Let a be f(6). Let l = a + 139. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 + 120 - (-8961)\/(-147)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -4. Let j(g) = 0*g + 2*g - l - g**2 + 2 + 3*g**3. What is the units digit of j(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6\/((h*h**2)\/h))**(-1)*(h**4\/(h*h**(5\/4)))\/(h**(2\/5))**(-50) assuming h is positive.\nAnswer: h**(71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 98)\/(6\/4). Suppose -5*o = -3*j + u, 5*j - 70 = 2*j - o. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -13 + -4 + (-3)\/(5 - 2). Let j be (-12)\/q*(1 + 2). Solve -j = -3*p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2476*l**3 + 39*l**2 + 146672?\nAnswer: 7428*l**2 + 78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110110 (base 2) to base 12.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2 + 3*c - 182. Let f(b) = b**2 + b - 61. Let a(q) = 17*f(q) - 6*y(q). Let g be a(0). What is the greatest common divisor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -56*m + 556. Let d be f(10). Which is the nearest to 10\/3? (a) d (b) 1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/49 (b) 15 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -580 != -3281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 303047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6094590271.97578293 - -6094590479. Let a = z + -36.024216. Let m = a - 171. Round m to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 4)*(-2*l + l + 0*l) - 2*l - l + 0*l + (9 + 9 - 4)*(2*l + l - l) as a*l + w and give a.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3549\/(-1014) + (-2)\/24*(-678)\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -5 (c) 0.2 (d) -12401 (e) 3 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39742501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -450*k + 444*k + 3576. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 188 or 565\/3?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*m = -85, -5*n - m = -43 - 22. Let i = n + -6. Let b(h) = -2*h**2 - 2*h. Let v be b(-2). Sort i, -1, v in increasing order.\nAnswer: v, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -2*s**7\/105 + 12*s**5\/25 - 16*s**4\/15 + 8*s - 26. Factor r(i).\nAnswer: -4*i**2*(i - 2)**2*(i + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49 and 262?\nAnswer: 12838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 2*c + 5*c)*(6 + 8 - 2 + (0 - 2 + 1)*(0 - 2 + 0)).\nAnswer: 154*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292789 + 186577 = 34*b. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 125 - 104. Solve -x = 6*x - q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-q + 0 + 0) + 2 + 18*q - 6*q + 6*q + (3 - 6 + 1)*(-2*q + 2 - 2) + 2*q - 3*q + 0*q.\nAnswer: 20*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 15*v**2 + 6*v + 10. Let p be s(16). Let g = p - 215. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5739 + -5715. Calculate the smallest common multiple of (-4)\/(-6)*(10 + 2) and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33 or -0.6786?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*j - 1045 - 1102 - 499 = 0 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z. Let u be g(3). Let v(k) = -k**2 - 7*k + 6. Does 12 divide v(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**6\/200 - 61*q**5\/100 - 87*q**4\/20 - 22*q**2 - 2*q. Factor i(p).\nAnswer: -3*p*(p + 3)*(p + 58)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*1*sqrt(700) - ((sqrt(700) - (-2*sqrt(700) - sqrt(700)) - sqrt(700)) + 3))**2 + 0 + -2.\nAnswer: 300*sqrt(7) + 17506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 194765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8407 - -7894. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23558*i**4 - 2*i**3 - 8763*i**2 + 62?\nAnswer: -565392*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02323297981 rounded to four decimal places?\nAnswer: -0.0232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-6) - 0)*0. Let d = 13 - -2. What is the remainder when 43 - 0\/(-3) - b is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5379 - 5356.59. What is w rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 - -66. Let i be (-214)\/(-18)*h + 5\/15. What is the highest common divisor of 144 and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2109c (base 15) in base 6?\nAnswer: -2125020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**4 - 25056*w**3 - 52541946*w**2 - 939675168*w - 4219425027 = 0 for w.\nAnswer: -4167, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g**3\/5 - 107319*g**2\/5 - 209340*g + 47580 = 0 for g.\nAnswer: -3965, -10, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.8501 - 0.8501. Which is the smallest value? (a) x (b) 1 (c) 14 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.148+-480918.402\nAnswer: -480918.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007905 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2001 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuwddduggd. What is prob of picking 1 c, 1 d, and 1 w?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 435951396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 j when four letters picked without replacement from {r: 3, j: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 - 37*v**2 - 37*v - 288. Is 62 a factor of d(26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**5\/13 - 8230*h**4\/13 - 11133900*h**3\/13 - 4733645000*h**2\/13 + 295418090000*h\/13.\nAnswer: -2*h*(h - 55)*(h + 1390)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -233, -704, -1627, -3152?\nAnswer: -5429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5306 - 5011. Let x be (-12)\/8*(-10)\/3. Suppose x*z = 900 - r. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.7 - 9. Let h = 0.6 - c. Let b = 0.62 - h. What is b rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 196 + -90. Suppose -5*s = -z - 34. Suppose s + 24 = 4*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2819, 5647, 8761, 12299, 16399, 21199?\nAnswer: 26837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*l**2 - 16*l**2 + 9*l**2 + (-9 + 4*l + 9)*(l + 1 + 1 + 7).\nAnswer: -14*l**2 + 36*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22531, 22392, 22205, 21970, 21687?\nAnswer: 21356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbfbbbbbbbbbbbbbbbb. Give prob of picking 2 b and 1 f.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -625 by -25.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00242149 rounded to 5 decimal places?\nAnswer: 0.00242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + 5 + (3 + sqrt(425) + -1 + -2*sqrt(425) + 5)**2.\nAnswer: -70*sqrt(17) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 83*t + 5438. Let g = -22 + 54. Let i = g - 21. What is the lowest common multiple of i and j(-65)?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2\/19, 0.3, -0.4, -49921, 0, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/(-2205) + 2\/(11340\/(-534)).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -19*g. Let p = -21359\/3 - -7120. Let w(c) be the second derivative of 0*c**2 - p*c**3 - 21*c + 0. Give w(i(r)).\nAnswer: 38*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.1074315 micrometers?\nAnswer: 0.0001074315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (1*-1)\/((22\/(-72))\/11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 - -76. Let u(q) = -q**2 - 7*q + 50. Let o be u(g). Suppose -2*l = 2*f - o, 0*f - 2*f - 58 = -4*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -474*u + 59. Let r be j(-9). Let s = -2082 + r. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 5*s + 5 = 0, -20*s = -21*s - 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -g + 1. Let a = -18.4 + -2.6. Let v = a + 20. Which is smaller: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 16*h**2 + 16*h - 3. Suppose 5 + 10 = r. Let d be u(r). Suppose -d*l - 6 = -11*l. Sort l, -3, 4, 0 in descending order.\nAnswer: 4, 0, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3426339*z**3 - z**2 - 55859371 wrt z.\nAnswer: -10279017*z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkykkykkkyyy. What is prob of sequence yyk?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.736 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 10. Sort 2, -5, g in descending order.\nAnswer: g, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 870*s**3 + 3*s**2 - 13*s + 20. Let i be u(2). Suppose 52*b - i = 43*b. What are the prime factors of b?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + z**3 + 3)*(-3*z + z + z) + (22 - 11*z**2 - 22)*(3*z**2 + 10*z - 10*z).\nAnswer: -34*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 17*o - 74. What is z(-21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 6*s**2 - 4*s. Let p(n) = -n**2 - 9*n - 2. Suppose 0 = 3*h + 7 + 8. Calculate the remainder when p(h) is divided by a(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 327, 207, -5, -321, -753, -1313?\n\"Answer: -2*z**3 - 34*z**2 - 4*z + 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -1 (c) -0.634 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o**2 - 13. Let r(y) = 2*y**2 + y. Calculate r(l(b)).\nAnswer: 50*b**4 + 255*b**2 + 325","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 14 = -14*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -17. Let n(s) = -s**2 - s + 4. Let g be n(-3). Let c be 44\/20 + (-12)\/(-15). What is the nearest to -2\/3 in g, h, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3120)\/(-90))\/(3\/9). Which is smaller: 91 or q?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, 347, 530, 719, 914?\nAnswer: 1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -2\/11 (c) 65031\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0 = 16. Sort 0, -5, 2\/7, c in decreasing order.\nAnswer: 2\/7, 0, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35*j - 39*j + 3*j**2 + 21*j)*(1 + 0*j**2 - j**2 - j**2) to d*j**2 + x*j**3 + k*j**4 + c + v*j and give x.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -434*b*x**3 - 5*b*x - 14887786*b - 253*x**2 with respect to x.\nAnswer: -1302*b*x**2 - 5*b - 506*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**2\/(v*v**(-4\/5))*(v*v**(4\/7)*v)\/(v\/((v\/(v\/v**(-1))*v)\/v*v*v)) assuming v is positive.\nAnswer: v**(153\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 336202.7 hours in microseconds?\nAnswer: 1210329720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 12 - (-5 + -19 - -17).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/1 - (-82 - 3). Suppose -j + 10 = 4. Let b = z + j. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + -1 + 3 + sqrt(125) + 3)*5 + -3*1*(sqrt(180) - sqrt(180)*-2))**2.\nAnswer: -200*sqrt(5) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 285229809\nAnswer: 285229808.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -21 - (-101 + 93)) + 11 + 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 162 - 2*u**2 + 310*u - 626*u - 2 + 130 = 0. Calculate u.\nAnswer: -159, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -5, 14, -73695 in descending order.\nAnswer: 14, -5, -17, -73695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2. Let k(w) = -164646663*w. Give z(k(o)).\nAnswer: -54217047274071138*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (58 - 24 - 267)*(-2*h + 5*h - h) + 3*h - 3*h + h to a + t*h and give t.\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 474*p**3 - 816*p**3 + 351*p**3.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -384084 or -384087?\nAnswer: -384084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1376 and 2896?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*z + 340 - 693 + 353 + 12*z**2 + 78*z.\nAnswer: 12*z**2 + 221*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 x, and 1 o when three letters picked without replacement from {i: 1, y: 1, x: 3, o: 1, a: 4, q: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 1 + 17, -2*p + 100 = 2*q. What is the remainder when p is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(117) - 5*(-1 + sqrt(13)).\nAnswer: -23*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 19651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -5, -726?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0 = -5. Let f(m) = 2*m**3 - 8*m**2 + 6*m. Let u be f(h). Suppose -3*w + u = 2*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 40*v**3\/3 - 9*v**2 - 136*v. What are the prime factors of k(2)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 9*b**2 - 10*b - 5. Give v(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 - ((-75)\/200 + (-19)\/(-8)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 6278*g**3 - 12586*g**2 + 119*g\/2 + 1 = 0?\nAnswer: -1\/146, 1\/86, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b + 7. Let z be o(2). Let j be (-26)\/6 + (-10)\/z. List the prime factors of (-1)\/(j\/2) + (-15045)\/(-75).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18447 and 12012?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**3 - l**2 - l. Let c be x(-1). Let m be (10\/c)\/(6\/(-9)). Let n(s) = -3*s**2 + 69*s + 6. Let p be n(23). Are p and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/(s\/(s\/s**(1\/2))))))\/(s\/(s\/s**(-8\/3)))*(s\/s**20)\/(s*s**(12\/13)))**(1\/26) assuming s is positive.\nAnswer: s**(-1385\/2028)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 - 2*p**3 + p**3 + (-1 + 1 - p)*(2*p**2 + p - p) + (-6*p - 2*p + 3*p)*(-1 - 2*p**2 + p**2 + 3).\nAnswer: p**3 - 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 11:49 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 183589 and 5507670.\nAnswer: 5507670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/((-4)\/4*(5 - 3)) and 58\/(-4)*8\/96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 13*r**2 + 17*r - 9. Give z(12).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 12:42 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 5*i + 155043, -78*i + 80*i = 4*m - 155046. What are the prime factors of m?\nAnswer: 2, 19381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21744 - -22986. What is the highest common divisor of n and 594?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 634 divide 362014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mii when three letters picked without replacement from mimiiomi?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 38 = -5*p, 4*p + 3*b - 29 - 7 = 0. Find the third derivative of -3*y**2 + 7*y**2 - y**p + 2*y**6 wrt y.\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -1\/12, -11\/2, 0.5, -2 in descending order.\nAnswer: 0.5, -1\/12, -1\/5, -2, -11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a minute in seconds?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmmmulmlmlmlmppmlml. Give prob of sequence umpp.\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 2*p - 2. Let z be b(-2). Suppose 6*t - 68 = z*t. Suppose w - 65 = j - t, -2*w + 87 = j. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142885031.\nAnswer: 142885031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -28168\/111 > -253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*x - 1023, -2*c + 528 = -2*x - 498. Is c a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = 5*x. Solve 9 = 2*z + a, -2*z + a + 3*a + 14 = x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i + 2*i + 4*i + (7*i + 3*i + i)*(-3 + 0 + 5) to the form q*i + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-292)\/(-3))\/((-22)\/(-33)). What is the common denominator of (27\/(-18))\/((-24)\/c) and 23\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k**2 - 40*k + 44. Let v be m(8). Solve -v = -11*z - 7*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 2*b = -0*b - 3*b + 18, 64*y - 12*b - 15 = 61*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*m - 16*m + 24*m)*(4 - 2 + 0)*(-13 - 10 + 2) to the form q + j*m and give j.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1614540 (base 11) to base 12.\nAnswer: b10415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 149772291*b**2*q**2 - 223042*b**2*q - 93*b**2 wrt q.\nAnswer: 299544582*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3824235 divided by 9?\nAnswer: -424915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -1)*((-20)\/6)\/2. Suppose 5*k + 8*f = 3*f + 15, 0 = m*k + 4*f - 14. Let a(l) = l**3 - l. Let v be a(-1). Solve 0*p + k*p = v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence een when three letters picked without replacement from {n: 1, k: 3, e: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 10*f**2 - 21*f + 56. What is the remainder when i(4) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/900 and -67\/10160?\nAnswer: 457200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2726943 is divided by 142.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = i, -3*l = 3*i - 7 + 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 88*x - 247*x**2 + 248*x**2 + 158*x - 2*x**2 + 2*x - 2*x + (0*x**2 + 0*x**2 - 2*x**2)*(0 - 2 + 0) + 3 - 3 + 2*x**2.\nAnswer: 5*x**2 + 246*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 260 + 48?\nAnswer: 2a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 91*v**2 + 742*v**3 - 743*v**3 + 94*v**2.\nAnswer: -v**2*(v - 185)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-8))\/(12\/(-16)). Let c(a) = -a**3 - 2*a**2 - a - 2. Let y be c(m). Let j(t) = t - 2. Calculate j(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 5*h - 7*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 330.7332t?\nAnswer: 330733200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107\/5 or 22?\nAnswer: 107\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/(-6)*-2 + (-54)\/(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*y = -1955000, 4*x - 1564000 = -616*y + 618*y. Round x to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475260?\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43407 + 43445. Let w = -0.3 - -0.1. Which is the biggest value? (a) o (b) -4\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.186 minus -1?\nAnswer: -41.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 11, 20, 31?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -3.791.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -570\/7 = -80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 859447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 6*f - 9*f + 2*c, -4*c = 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 272955.3 rounded to the nearest one hundred?\nAnswer: 273000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80.9995 + -81. Let t = 0.0005511 + i. What is t rounded to 6 dps?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 18 = 2*k. Let z be (-24)\/90*(4 - 3\/k). Which is the nearest to 0? (a) z (b) 22 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 5:24 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.8902618 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 - 5*b - 5. Let l be c(-3). Let a be (l\/10)\/(176\/(-40)). Put a, 3, -1\/7 in ascending order.\nAnswer: -1\/7, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-11)\/v*v)\/(v*(v**11*v)\/v)*v**8*v*v\/(v*v**(-2\/9)) assuming v is positive.\nAnswer: v**(-106\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (9 - 13 - 1) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**5\/20 - o**4\/6 + o**2. Find the second derivative of i(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (-1)\/2 + 1. Let v = -4 + 3. Which is bigger: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6220 (base 10) to base 8\nAnswer: 14114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-284)\/(-213) - 10\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 7:07 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 11*q + 14. Let a be j(-12). Let k = 8 + a. What is the lowest common multiple of k and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -2) + 4 + (6 - 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 415412669 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1699?\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, z: 2, m: 1, b: 4, r: 1}. Give prob of picking 1 r, 1 k, and 2 z.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83 and 45166691?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((-1680)\/285)*-14\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2208 divided by 69?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 676546847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6233 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 11*g - 7. Let b be d(10). Suppose -4*z = -13 - b. Let j be -6*(z + (-63)\/16). What is the nearest to 1\/15 in j, -1\/3, -4\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*x - 37*x + 5 + 33*x.\nAnswer: 21*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 736*l = 710*l + 112658. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1960837 minus -132?\nAnswer: 1960969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-3))\/(12\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 417359087?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -3. Let l = 30 - x. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0698 + 10.07312\nAnswer: 10.14292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 28.9 * 0.086\nAnswer: 2.4854","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5621*z - 4*v + 70 = -5629*z + 11252*z, 4*z + 120 = 5*v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -1)**2 + sqrt(18) + 5*(1 + sqrt(18)).\nAnswer: 2*sqrt(2) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b (base 16) to base 6.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 + -120. Let x be 2 + 204\/30 + 4\/f. Calculate the greatest common factor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 613 - 328. Let h be (32\/24)\/((-4)\/6). Is 7 a factor of (13\/h)\/(s\/(-70) - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 3*h**2 + 5*h - 7. Let j be i(4). Which is the smallest value? (a) -0.5 (b) 0.9 (c) -0.4 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 138, 145, 150, 153, 154, 153, 150?\n\"Answer: -s**2 + 10*s + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0, 3\/5, -88, -0.2 in decreasing order.\nAnswer: 3\/5, 0, -0.2, -0.5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.725263us to hours.\nAnswer: 0.0000000132570175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) -1\/3 (c) 0.3096 (d) -1\/6 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 23862*t - 162*t**2 - 23862*t in the form y + u*t**2 + s*t and give u.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 36. Let z = 18 - q. What is the remainder when z is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-3) - 0)\/((-12)\/90). Let w(f) = 2*f + 1. Let i be w(6). What is the second derivative of 16*b**d + 9*b - i*b**5 + 1 - 1 wrt b?\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t = -3*b - 198, -73 = 5*t - 2*t + 4*b + 115 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20 and 1.014766?\nAnswer: 20.29532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 2. Let q be r\/(12\/10 + -1). Suppose -2*s - 3*u = 2*s - 44, 3*s + q*u - 44 = 0. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46*t**3*v**2 + 703*t**3*v + 1215*t**3 + 83 wrt v?\nAnswer: 92*t**3*v + 703*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 566571 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 34, 45, 58?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*t - 15 = 0, -2*n + 4*t = -3*n + 19. Let y be ((-2)\/8)\/(n\/32*2). What is the fourth biggest value in -0.2, y, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 14*n = 16*n - 315, -4*x + 1230 = -2*n. Solve 3 = 51*y + x for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 757894456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13726515 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 6. Let u be i(6). Let b(y) = -216 + y**2 + 21*y + 235 - 22*y. Determine b(u).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-1)*(-3)\/9*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -3\/7, -3, -1\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -87 * 1790\nAnswer: -155730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*19*(-7 - 3700\/(-518))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3222824 to the nearest integer?\nAnswer: 1795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-22.734812.\nAnswer: -9.0939248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c + 0*c - 9*c - 233 - 3*c + 8*c.\nAnswer: -17*c - 233","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1748, -1727, -1628, -1421, -1076, -563, 148, 1087?\n\"Answer: 5*q**3 + 9*q**2 - 41*q - 1721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/33*(-52)\/((-3224)\/93).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 183347?\nAnswer: 183347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1438764 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbii when four letters picked without replacement from bpibbubbmjpbbpbbbmj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 62651 divided by -2021?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from zynwnon.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(2\/3))**(-2\/5))**(3\/29))**37)**10 assuming q is positive.\nAnswer: q**(-296\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 202 and 1717.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*g - 509 = -3*m, -506 = -4*m + 2*g. Suppose -2*n + 135 = m. Solve -i + 2*h = -2*i + 10, -n*i + 2 = -2*h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*f**2 + 2*f**2 + 10*f**2)*(-2*f + 127 - 143 - 77) to l + q*f + a*f**2 + m*f**3 and give a.\nAnswer: -2325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y**3 + 467*y**2 - 342*y - 88. Give n(66).\nAnswer: -880","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -1\/109, 0.2, -97?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1253, 2464, 3639, 4760, 5809, 6768, 7619?\nAnswer: 8344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*o**4 + 32*o**4 + 19*o**4 + 2*o**5.\nAnswer: 2*o**4*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110398 = -31*s - 3*s. Calculate the greatest common factor of 17 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in decades?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 186462 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*h + 95*h + 1460 = 6*o, 3*h - 2*o - 1082 = 0. Calculate the least common multiple of h and 16.\nAnswer: 2896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t - 57. Let l be w(25). Suppose 0*y - 5*y = -10. Let a(s) = 4*s - 2. Let d be a(y). Calculate the highest common factor of l and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*f + 4290 = -48*f + 86*f - 135*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18430536.\nAnswer: 2, 3, 107, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 1. Suppose 5*m - w*m = -4. Suppose 0 + 10 = -4*s + 2*z, m*z = 2*s - 10. Let j(r) = r - 1. What is j(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -29*k**3 + 8*k**2 - 565*k + 7. Let h(x) = -29*x**3 + 9*x**2 - 563*x + 8. Let g(j) = 7*h(j) - 8*y(j). What is the second derivative of g(m) wrt m?\nAnswer: 174*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-8) - (2\/(-2) + 3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s + 12. Let i be r(-5). Let h be (5\/i)\/(15\/(-9)). Let l = 3\/8 - -7\/24. Which is the second smallest value? (a) l (b) h (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 345 - -164?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2713 (b) -4\/3 (c) 1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**7\/840 - a**6\/360 + a**5\/30 + a**4\/6 - 5*a**3\/3 - 2*a. Let i(l) be the second derivative of n(l). Factor i(d).\nAnswer: -(d - 2)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 11:51 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xmx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8512 and 13451392?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/15*2\/(-6)*-2. Let k = -0.06 + 3.06. Let i = 1\/19 - 23\/76. Which is the nearest to 0.1? (a) k (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*11\/(429\/(-3))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*w = -60 - 1711 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 1 = -9. Let r(n) = 20*n - n**2 + 11 - 4*n + 0*n**2 + g*n**2. Is r(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n - 4 + 5 + 8*n.\nAnswer: 17*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -894, -924, -976, -1050, -1146?\nAnswer: -1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1155\/(-840)*8 - (-56)\/(-2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 924 + 250*z + 104\/7*z**2 - 2\/7*z**3 = 0 for z.\nAnswer: -7, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -3, 3, -1380 in ascending order.\nAnswer: -1380, -18, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-15)*15\/(-40) + 14\/60. What is the fourth biggest value in 3, -2\/7, 4, g?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 346*m**2 + 33*m + 2130. Let a(s) = -466*s**2 - 34*s - 2132. Let o(k) = 2*a(k) + 3*f(k). Differentiate o(l) with respect to l.\nAnswer: 212*l + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**20)\/(c*c**(-16)*c) assuming c is positive.\nAnswer: c**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26471829 to the nearest integer?\nAnswer: 5145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 + 46518*h - 20662236.\nAnswer: -2*(h - 22806)*(h - 453)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 14638393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/sqrt(9) + 1)**2 - (sqrt(19) + sqrt(190)\/sqrt(10) + -4).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -173*t + 1 + 85*t + 2*t**2 + 102*t to the form x*t + g + s*t**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(3 - 2) + (-6541)\/(-1302).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 - 55?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*(((0 + sqrt(19) + 3 + sqrt(19) + sqrt(19) + 1 + sqrt(76))**2 - ((sqrt(19) - -1*sqrt(2736)) + 2)) + 3) + 2.\nAnswer: 324*sqrt(19) + 5906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 - 5*y**2 + 6*y**2 + y**3. Let n(z) = -7*z**3 + 8*z**2. Let i(d) = -d + 21. Let a be i(18). Determine a*n(l) - 24*c(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 3. Let z be 76\/(-16) - -8 - 3. Which is the third smallest value? (a) q (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61 by 1.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 24, 34, 58, 102, 172, 274, 414, 598?\n\"Answer: w**3 + w**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 104827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b*i*n - b*i - 3929*b*n - 42*b - 15834*i*n wrt i.\nAnswer: b*n - b - 15834*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 + 2*y + 1. Suppose -18 = -o - 6. Suppose -23*h + 25*h - 68 = 0. Suppose 28*c - h*c = -o. What is s(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*k - 83*k - 72*k + 251*k.\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -26153 > -26158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/4*w**3 + 1\/4*w**2 - 5\/4*w + 3\/4 = 0 for w.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151 is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6 = -5*h + 3*n, n = -5*h - 11. Let s = 18 - -480. Let q = -490 + s. Sort h, -5, q, 5.\nAnswer: -5, h, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130 - 127. What is the least common multiple of 76 and f?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 54*o + 77. Calculate c(-21).\nAnswer: -1057","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/18 - (-393)\/(-945) and 145\/84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(7\/4)\/j*j)\/(j**(-1\/4)*j))\/((j**(-17)\/j)\/j)**33 assuming j is positive.\nAnswer: j**628","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 718 + -383. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 4 = 5*x. Which is the nearest to 0? (a) 4 (b) 0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-four fifths of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-26)\/(-10)) + (-6)\/15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 7:13 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -534.2 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 30*c**2 + 40*c - 19. Is k(-11) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzfzzmmmzzzd. Give prob of picking 1 z and 1 f.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g = -426 + 966 - 276 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1754 - 1713. Calculate the remainder when 568 is divided by r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwd when three letters picked without replacement from {d: 1, m: 1, w: 2, u: 2, i: 1, r: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((f*f**(-4\/11))\/f)\/f)\/f)\/f**(-2\/7))\/(f*((f*f*f\/(f*f**(2\/3)*f)*f)\/f)\/f*f*f**(-6)))**(-4\/5) assuming f is positive.\nAnswer: f**(-2392\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -2\/3*i**4 + 1\/15*i**5 - 2*i**2 + 0 - 4*i - 8\/3*i**3 + 1\/30*i**6. Let k(b) be the first derivative of a(b). Factor k(l).\nAnswer: 4*(l - 2)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 7*a = 0. Suppose 3*i = -a*i + 39. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.39323 and 18474?\nAnswer: 7264.53102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2220 + -2?\nAnswer: -2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.109 (b) 1 (c) 435.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-55400)\/24)\/(9\/(-108)).\nAnswer: 2, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1.4, 4, 6, -198?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and 0.07?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1.69 (b) 5 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1094.7 + -1095. Let q(h) = -h**3 - 2*h**2. Let i be q(-2). Which is the nearest to -0.1? (a) -1\/2 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5*j**3 + 1299425*j**2\/4 - 1624255*j\/4 + 162425\/2 = 0.\nAnswer: 1\/4, 1, 64970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 9:04 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 10*x**2 - 2*x + 13. Does 18 divide l(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -379*l**2 + 87*l**3 + 188*l**2 + 188*l**2 + 158*l + 554*l**3 wrt l?\nAnswer: 3846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 minutes after 5:14 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 6336?\nAnswer: 6337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 - 13 + 7*h + h**2 + 4*h + 0*h**2. Let y be t(11). Let k(b) = -b**2 - 15*b - 20. Calculate the remainder when 23 is divided by k(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6269702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -222100 (base 4) to base 10\nAnswer: -2704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 4:20 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, 0.4, -0.153.\nAnswer: -8, -0.153, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 11487243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2 = -16 + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2. Let m(u) be the second derivative of 0*u**3 + 7\/6*u**4 + 0*u**2 + 158*u + 0. Give m(s(o)).\nAnswer: 56*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/3703? (a) 3\/7 (b) -1\/5 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from cccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**3 - 28*w**2 - 33*w - 14. Is 8 a factor of j(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/4956 and 115\/22302.\nAnswer: 44604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*i - 2233*i + 128*i - 126852 = 1903*i for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-1104)\/136 - 4\/(-255)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(448)*2 + sqrt(448) + sqrt(448) - (-1 + sqrt(448) + -3 - sqrt(448))) + 5 + (-2 + sqrt(448) - sqrt(448)) + -5)**2.\nAnswer: 256*sqrt(7) + 7184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 + 21*b + 6. Let p(i) = -4*i + 10. Let h be p(0). Let c be f(h). Let m = 21 - c. Solve -m*g - 5 = -0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*r = 35*r - 56588. Calculate the remainder when r is divided by 599.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-30) - 1\/5. Suppose 3*u - 8*u + 35 = 0. Suppose 0 = -u*j + 26 + 9. Solve 0 = -i*k - 5*k + j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k = 6*k - 2*p + 5, 0 = -4*k - 4*p + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89 + -88.9862. Round a to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 3*q + 3. Suppose 27*s - 24*s - 36 = 0. Suppose -s*w + 14 = -10*w. Suppose -n + 25 = -2*y + w*y, 0 = -y + 2*n + 5. Calculate l(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/(-9) - (2 - 64\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1150188603 or -1?\nAnswer: -2\/1150188603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -419, -1, -22\/13, 2\/7 in descending order.\nAnswer: 2\/7, -1, -22\/13, -419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 94*x - 841. Give k(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -167, -0.2, 8, -0.03?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.093 - 0.103. Which is the nearest to 3? (a) 0 (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, d: 2, q: 3, b: 2}. Give prob of sequence qdbb.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -18. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {l: 3, y: 3, i: 5, s: 6}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 164. Let n be d(-3). Calculate the greatest common divisor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = w - 19. Let n = 103 - w. Which is smaller: 38 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -237 + 222 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2 + 2136*p + 393150. Let d(f) = 6*f - 3. Let t(v) = -6*d(v) - i(v). Suppose t(h) = 0. Calculate h.\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 4*j**5\/5 - 31*j**4 - 92*j**3 + 198*j**2 + 531. Determine b, given that d(b) = 0.\nAnswer: -3, 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.79588m to centimeters.\nAnswer: 6579.588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j**3 + 4*j**2 - j - 3. Suppose 5*n - 10 = -220. Let b = 39 + n. Is u(b) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4685)\/(-20) + 3\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-5))\/(4\/10). Suppose 0 = q*v + 2 + 6. Let y(r) = -6*r + 13*r - 364 - 3*r + 2*r**2 + 366. What is y(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1327 - 1324. What is the closest to 0 in -0.2, 5, 3\/10, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/32)\/(s\/s**26)*(((s*s\/((s\/(s\/((s*s*s\/(s**(-11)\/s))\/s)))\/s))\/s)\/s)**17 assuming s is positive.\nAnswer: s**(-6273\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - -23 - ((-1 - -1) + -1). Suppose -5*t = -2*f + o, -t - 3 = 2*f - 0*t. Let l(z) = 2*z**3 - z**2 + 2*z - 1. Give l(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 0. Let i be -2 + (2 - (z + -3)). Suppose f + 4 + 0 = i. Sort f, 5, -2.\nAnswer: f, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 804474525 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbqbbbbbzbbqzbb. What is prob of picking 1 z and 1 b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14446 equal to 14445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1198741*-3.\nAnswer: -3596223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 227.610509 to 2 dps.\nAnswer: 227.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -360540.6 rounded to the nearest one thousand?\nAnswer: -361000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15392269 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -38*p - 29. Let z = 90 - 88. Suppose -z*v = 16 - 6. List the prime factors of b(v).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n**2 + 3*n - 10. Let h(w) = -6*w**2 + 2*w - 9. Let i(o) = -6*h(o) + 5*l(o). What is the units digit of i(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -8454762.78524.\nAnswer: 8454762.58524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -241, 155, 553, 953, 1355, 1759, 2165?\n\"Answer: c**2 + 393*c - 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -12 + 8 + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-32))**(-1\/16)\/(c\/(c**14\/c)*c**(-2\/171)\/c) assuming c is positive.\nAnswer: c**(2567\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + -0.1. Let s = 2 + -2.1. Which is the smallest value? (a) -3 (b) s (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbvxcbnw. Give prob of sequence wcv.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1347 + -1266. What is the greatest common divisor of b and 288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*c**4 + 30 - 28 + 2*c**3 + 11*c**3 + c - 12*c**3 to b*c + d*c**3 + p*c**4 + x*c**2 + n and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -5d?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6280249818?\nAnswer: 2, 3, 421, 2486243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 = 2*m - 2*o, -3*m + 392 = -0*o + o. Let q = m + -130. Let k(y) = y**3 + y**2 + 5*y + 4. Let h be k(q). What is the closest to -0.4 in 5, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 + 0 + 406042*f - 406066*f + 356*f**5 wrt f.\nAnswer: 7120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from uauauuuuuuuuu.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*3*5*5 - -4*(-3*-1*sqrt(204))\/sqrt(12))**2*5.\nAnswer: 8274240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/105*(-29)\/((-5742)\/924).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-12) - 17\/(-3). Suppose -4 = -3*c + k. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqg when four letters picked without replacement from {q: 17, g: 2}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20176\/58823 - -4\/997. Let z be 5\/5900*62030\/12. Let s = z + q. Calculate the common denominator of -53\/8 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57816649*q**3 - 41989530*q**2?\nAnswer: -346899894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2. Let s(z) = 14*z - 11*z - 166 + 285. Determine r(s(u)).\nAnswer: 9*u**2 + 714*u + 14161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, p: 2, h: 10}. Give prob of sequence hp.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -47*c + 52*c - 16, 3*c - 2*j - 11 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005276961 to four decimal places.\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -b7b79?\nAnswer: b7b75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2*sqrt(3267) - sqrt(3267)) + sqrt(3267))*5.\nAnswer: -330*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/((sqrt(132)\/sqrt(3))\/sqrt(11)) + (sqrt(1053) - (-2 + sqrt(1053) + 2 + sqrt(1053))) + 4)**2.\nAnswer: -64*sqrt(13) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/114 and -86\/705.\nAnswer: 26790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139421 divided by -1.\nAnswer: 139421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2706 a factor of 214182606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - 0.8. Let i = 4 + k. Let p = 0.31 + -0.01. What is the third smallest value in i, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 469, 1198, 1937, 2692, 3469, 4274?\nAnswer: 5113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a - 4 = 31*a. Let t(d) = -d**3 - 3*d**2 + 3*d + 1. Calculate t(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58018 - 152608. What is a rounded to the nearest 1000?\nAnswer: -95000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -43 (b) 2\/13 (c) -9\/199 (d) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3\/3 - 16*s**2 - 78*s + 676\/3 = 0. What is s?\nAnswer: -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1669*f - 578. Let s(z) = -6*z**2. Determine t(s(d)).\nAnswer: -10014*d**2 - 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((3 - 7) + -11)*5\/(-25). Let g = a + -21\/8. What is the closest to g in 0, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 16.2. Sort -2\/3, w, 4 in ascending order.\nAnswer: -2\/3, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (22 + -69 + -5).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - -12 - -25 - 51 - -5?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 27*z - 90. Let m = -90 + 68. Let v be n(m). Solve -c = 4*b + v, 2*b - b + 5 = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6)*h**(-1)\/h*((h**(-1)*h)\/h)\/h**(-5)*(h\/(h\/h**(-1\/2))*h*h**(-6\/7))\/(h**(-1))**(19\/5) assuming h is positive.\nAnswer: h**(-39\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 75 in -0.15, 7, -3, 2\/75?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**2 - 4. What is the remainder when w(3) is divided by 130\/6 + (-10)\/15?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 9 + 3*a + (-33 + 21 - 67)*(5*a + 0*a - 4*a).\nAnswer: -76*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from wuuwwwuuwwuww.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o + 5. Let h(a) = a**3 - a**2. Let m be h(2). Suppose -o*l + 3*l + 32 = -4*r, 0 = -l - m*r - 2. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v**3 + 2975*v**2 + v + 417. What is s(-425)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303668 is divided by 5576?\nAnswer: 2564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s + 15. Suppose 3*q - r = 18, 0 = q + 65*r - 61*r + 20. Calculate u(q).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.04 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*z - 5*j, -5*j = 2*z - 10*j + 28. Are z and 38\/193 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) 7 (c) 4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/7 + 1\/21*3. Suppose -o*j = 3*j - 252. Suppose j - 7 = -5*g. Let a(k) = 5*k - 2. Let h(l) = -3*l + 1. Determine g*h(r) - 4*a(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 173*u**2 - 2*u - 172*u**2 - 135 + 34*u**4 + 1585*u**5 - 35*u**4 wrt u?\nAnswer: 95100*u**2 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2. Suppose -3*x = -0*n + 2*n - 4, -4*x + 2 = n. Let w(m) = m**2 - 5*m - 4. Let k be w(6). Let s(v) = 0*v**k + n*v**2 - v**2. Determine s(y(z)).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 6:06 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 608?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9192587 to the power of 1\/2, to the nearest integer?\nAnswer: 3032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 6905854?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1822, -1797, -1772?\nAnswer: -1747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 2, i: 4, a: 1, d: 2, w: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19626554 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20338699?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = 3*o - y, o + 5*y = -o - 111. Let x be 38*(-1)\/(-7) - (-27)\/o. Let j(b) = -10*b - 7. Let l(f) = -5*f - 4. Give x*l(p) - 3*j(p).\nAnswer: 5*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012447903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*1*1*-2)**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 1. Suppose -4*s + 12 = h*v - 18, -3*s = v - 17. Suppose 4*t + 2*c = 56, -2*t - 44 = -6*t + c. What is the smallest common multiple of v and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85523776?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 10*t + 60. Calculate the common denominator of -17\/2 and (-420)\/(-90)*(-7)\/t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12576441 to the power of 1\/2, to the nearest integer?\nAnswer: 3546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -9*i**2. Let x(r) = 846*r - 3. Calculate c(x(j)).\nAnswer: -6441444*j**2 + 45684*j - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3. Calculate the greatest common divisor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 210*s = 214*s - 12, -6*x + 3*s = 36 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d + 6. Let x(f) = f**2 - 3. Let r be x(3). What is k(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.3 + -1.7. Let w = -4 - q. What is the second biggest value in w, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 21 = 5*w. Let y(v) = 4 - 23*v + 9*v + w*v. Does 30 divide y(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukt when three letters picked without replacement from uukutuktuttu.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*j + 1104 - 1538 - 2068 = 0 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/5 - 4998*w**2\/5 - 58986*w - 4300874\/5.\nAnswer: 2*(w - 2557)*(w + 29)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -432.9934409 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -2. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 h when two letters picked without replacement from ihrhidwq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6987414.\nAnswer: 2, 3, 7, 43, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/16 + (-3179)\/(-5712). Let g(k) be the second derivative of 17*k - 8\/7*k**2 + 8\/7*k**3 + 6\/35*k**5 - 2\/105*k**6 + 0 - n*k**4. What is v in g(v) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(9\/(54\/4)). What is the common denominator of (-2)\/v*82\/(-2) and -69\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d - 3 = -16*d. What is the highest common factor of 7 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 2 + -14 - (30 - -3).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 33\/10, 3207, -3, 0.3?\nAnswer: 33\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 616 + 54 = -4*v. Let z(g) = -g - 3. Let y be z(-4). What are the prime factors of y*9*v\/(-15)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0167815235 rounded to four decimal places?\nAnswer: -0.0168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -269, 89, 1, -0.2, 80\/13, 0 in descending order.\nAnswer: 89, 80\/13, 1, 0, -0.2, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 160, 198, 236, 274, 312?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.1 (c) 1228 (d) 0.29 (e) -1\/3 (f) -94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1780573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*x + 20, -2*u - 5 = 2*x + 3. Let v(b) = b**2 + 6*b + 7. Let c be v(u). Let w(j) = -j**2 + 8*j + 2. Let i be w(8). Solve c*p - i*p = -25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*l**4 + 5*l**2 + 7 + 47*l**4 - 4*l**2 - 6 in the form h*l**3 + i + r*l**4 + g*l**2 + n*l and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -8. Let v be 10 + w - 2\/2. Calculate the common denominator of -44\/5 and (-206)\/4 + 10\/v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339.4588cm in kilometers?\nAnswer: 0.003394588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4 = -3*l + 19, -7*l - 1944*m + 11 = -1946*m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.0678 + -15493?\nAnswer: -15503.0678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*o**2 + 2 + 3 - 5)*(-51*o - 35*o + 43*o)*(-5*o + 5*o + o).\nAnswer: -1978*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 222028631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1538 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -96, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 375 - -1a?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*s, 12 = -3*v + 7*v + s. Suppose 0 = -v*y + 5*y - 144. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7527 + -740?\nAnswer: 6567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -14*(-11 - 748\/(-77)). Solve 4*r + 4*u = 3*u + o, 0 = r + 3*u + 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 4 (c) 6 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3340226 + 3340226 - 905*r as b + g*r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven fifths of a hour?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**10\/m)\/(m\/m**(-2\/7))*(m\/((m\/(m*m**(-1\/3)))\/m))**(-2\/83) assuming m is positive.\nAnswer: m**(13376\/1743)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l - 2*i = 83, 0 = 5*l - 2*i - 399. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/63)\/(8\/14)*6. What is the hundreds digit of 4 - (1\/y*-3 + -132)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, x: 2, r: 6, e: 2, c: 1}. Give prob of picking 1 r, 2 e, and 1 b.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b + 8. Give r(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.482 + 5.482. What is the closest to -2\/7 in -1, -8.9, -3, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 4*g + 5*y = 56, -g - 5*y + 44 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2957.0078 + 2957. Which is the third smallest value? (a) 2 (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 10. Calculate c(-21).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - i = -12, 2*o + 57*i - 3 = 60*i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -1008538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, 0.57, -1\/4, -57?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-2) + 2\/(-4). Let c = -40.76 - -40.8. Let q = 0.6 - 0.9. What is the nearest to -1 in q, d, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 8:50 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*k = -39*k - 4*d - 2312, -2306 = -4*k + 5*d. Calculate the remainder when k is divided by 75.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2133, -2131, -2127, -2121, -2113, -2103?\n\"Answer: v**2 - v - 2133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -11110001?\nAnswer: -11101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.6530275t?\nAnswer: 653027500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5 = -2*m, 3*r - 25 = -r - m. Suppose -r*k = h - 107, -k = -4*k + 3*h + 75. Suppose -3*z + 10 = -14. Calculate the remainder when k is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 2*r + 6. Suppose 2*y + 6 = y - r*v, -y + 2 = -v. Which is bigger: y or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(225\/(-6)) - (-1132)\/60. Suppose 0 = -11*t + q*t - 2880. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/4 - 2690*k - 7236100.\nAnswer: -(k + 5380)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3474362 + 3?\nAnswer: 3474365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(1\/23)\/u*u))\/u**5*u**24\/u*u\/(u**(-35)*u) assuming u is positive.\nAnswer: u**(1241\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2636 - 2625. Solve 1 = c, -5*s - 12*c - 24 = -m*c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2.6, -1, -0.07, -6\/5, -2\/3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 195 and -981194.\nAnswer: -980999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3046 + 3259. Is p less than 212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7939365 litres?\nAnswer: 793.9365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47839 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**3 + 3*q**3 - 2*q**3 - q**2 + q**2 - 3*q**3 + (-q + 1 - 1)*(-3*q - 2*q**2 + 3*q) - 9 - 5*q**3 + 9.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/198*1*(-1)\/10?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110100010010000 - 101?\nAnswer: 1110100010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3 = 0, -2*j - 10 + 33 = 5*y. Which is the closest to 1? (a) -4 (b) -0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05807 + -0.058104363. Round t to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**4 + 3*y**4 + 3*y**4 + (2*y**3 - 6*y**3 + 3*y**3)*(3 - 3 - y) + 9*y**3 - y**4 - 9*y**3 as o*y + r + b*y**4 + p*y**2 + j*y**3 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -3 + -4 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54929.\nAnswer: 7, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -93 (b) 4 (c) 30 (d) -2 (e) 3\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77.0576 + 77. Let i = -0.05759342 - r. What is i rounded to seven dps?\nAnswer: 0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -9. Let n = -1 + 1. Suppose 5*v = 8*v + 2*b - 1, -11 = v - 5*b. What is the nearest to v in n, p, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 8 = -4*p - 5*h, 8 = -4*h. Suppose 72 = -0*k + p*k. Suppose o = -0*o + k. Calculate the remainder when o is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**2 + 2*t - 3. Let u(m) = m**3 - m**2 + 1. Suppose 0 = -20*z + 20 + 20. Suppose 36 = -z*y + 14*y. Determine y*u(l) + p(l).\nAnswer: 3*l**3 + 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = 47\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/5 of a milligram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -39\/280?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-564)\/1974*(-77)\/418\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.42 - -0.82. Let l = 467 + -469. What is the smallest value in -0.01, l, -0.3, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2*m - 3*m)*(1 + 5 - 2) + (-m + 3*m - 4*m)*(-15 + 2 - 8).\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 + l**2 + 2*l + 32. Let p(n) = -2*n**3 - 2*n**2 - 3*n - 34. Calculate -3*b(m) - 2*p(m).\nAnswer: -2*m**3 + m**2 - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/98 and -93\/154?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13328 divided by 5\nAnswer: -13328\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35298727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200 - -3?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.714254 take away 1866?\nAnswer: -1866.714254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-95994)\/189 + 4\/2. Let r = f - -503. Let v = 202120\/21 + -9623. Calculate the common denominator of v and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 22 = -12*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 8:59 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -221.9 - -223.9. Sort 1036, u, 0 in decreasing order.\nAnswer: 1036, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-12) + (-1956985)\/108. Let l = r + 18118. What is the common denominator of l and (999\/4)\/(-9)*48\/486?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-68)\/2)\/((-11)\/((-66)\/(-516))). Let g = 575\/258 - x. Let s = 7 + -6. Which is bigger: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**2 + 36*k - 17. Let u be v(-18). Let z = 631 - u. Solve z = 31*c - 27*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*q - 18, -6*f = -10*f. Solve -5*r = 0, -8*d + 5*r + 10 = -q*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/20 + (-35)\/75. Let p be 1 - (-4)\/(-6) - 520\/(-6). Let h = p + -82. Which is the smallest value? (a) h (b) -2\/13 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2784630*u**3 - 7820439.\nAnswer: 8353890*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 861969.804 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chx when three letters picked without replacement from yvhccvvxhvvhrhvvy.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 - 98\/3. Which is the closest to -0.2? (a) -1 (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 48.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1320 + -727. Let h = 900 - o. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 23*d - 3. Let a be q(-12). Let f be a\/(-99) - 2\/(-11). Suppose x + f*s = 2*s + 1, 2*s + 4 = -x. What is the least common multiple of x and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-477)\/6)\/(-3*5\/(-60)). Suppose -4*f + 5*n = 493, 2*f + 375 = -f + 2*n. Let p = f - t. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 16) in base 3?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*a - 2*a - 111, 1 = -a. Suppose 15*j + x = 8*j. Which is smaller: 28 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (3 - (43 - 27) - (0 - 4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, u: 2, x: 5, v: 5}. What is prob of picking 1 x, 1 v, and 2 f?\nAnswer: 175\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(2 + -3 + 1). Let u = 0 - d. Suppose 5*k - 4*y = -y + 309, 4*k + 3*y - 258 = u. Is k a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 260 and 585.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 319\/20 + -16. Let g be (-1)\/(-8 - -3 - -4). Suppose -2*a + 4 - 2 = -4*y, a - g = 4*y. Does s = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u*u*u*u**4*u)\/u)*((u**(-4\/3)*u*u)\/u)\/u*u**(5\/6)*u**(-3) assuming u is positive.\nAnswer: u**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4*n**(-3)*n)**(-2\/19) assuming n is positive.\nAnswer: n**(-4\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6240 - 3621. Calculate the greatest common divisor of h and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*n - 6*n**2 + 13*n**2 - 16*n + (5*n - 2*n - n)*(-234 + 234 + 8*n) in the form l + h*n + d*n**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1876, -1451, -1014, -559, -80, 429, 974, 1561?\n\"Answer: c**3 + 418*c - 2295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 132330 (base 4) to base 12\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -16*u. Let y(d) = -179*d - 1. Give y(r(m)).\nAnswer: 2864*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/63 + 2*1\/(-7). Solve -5*x + 8*x + 15 = h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n + 2*n - 5*n)*(0 + 0 - n)*((-n - n + n)*(-10 - 7 + 18) + 86 - 16*n - 86).\nAnswer: 34*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*-3*(2*sqrt(1125))**2*-1*-3.\nAnswer: 607500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + sqrt(1008) + -4 + -2 + 5*(-1 + sqrt(1008) + -2))**2 + -4.\nAnswer: -3312*sqrt(7) + 36813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 7 = -6*r. Solve 3*z - 5*l = r - 1, -3*z + 2*l = -6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, c: 4, u: 1, x: 1, n: 1, g: 4}. What is prob of sequence ng?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1944\/(-26730))\/(48\/20).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -281, -282, -283, -284, -285, -286?\n\"Answer: -t - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 1:17 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 10 = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u - 206 + 206)*(0 - 2 + 0)*(1 + 3 + 1)*(-1 - 3 - 1).\nAnswer: -450*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1633 - -8218\/5. Calculate the common denominator of -61\/8 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**4 + 24264*s**3 + 49134303*s**2 + 292188546*s - 3527211096 = 0.\nAnswer: -4041, -12, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 12855 + 11369. Calculate the greatest common divisor of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 0.2, -1\/5, 0.3, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, f: 1, y: 5, a: 1, l: 1}. What is prob of picking 1 f and 2 y?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 808.0287 - 808. Let z = 2.0287 - p. Which is the fourth biggest value? (a) 4 (b) -0.1 (c) 0.115 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22991 + -9240. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 78595, 157193, 235791, 314389?\n\"Answer: 78598*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 10*i**2 - 10*i + 14. Let s be z(-11). Let g(u) = u - 1. Let p be g(s). Let w = 7 - 2. What is the highest common divisor of p and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 x when two letters picked without replacement from xxxwxw?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 11:13 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**4 - c**4 - 3*c**4)*(-2*c + 3*c - 3*c).\nAnswer: 6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/6*(-6)\/(-3). What is the biggest value in -1\/17, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(48)\/sqrt(6)*-3*3)\/(sqrt(64)\/((sqrt(40)*-3 + sqrt(40))\/sqrt(10))))**2.\nAnswer: 4050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-8)*(-3 - -1). Let v be (2*6\/4)\/d. Suppose -3*m = -0*m - 5*q - 35, 2*m - 2*q = 18. Which is greater: v or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 298900140 to the nearest 100000.\nAnswer: 298900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**6\/w*w)\/w)**(2\/21) assuming w is positive.\nAnswer: w**(10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 8. Let u be c(6). Let t be u\/3 - (-1828)\/(-12). Let a = -90 - t. Calculate the highest common factor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 62?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2726565724?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1205 = -59*c - 320 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mumuumuummmm?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 522, 1039, 1556, 2073?\nAnswer: 2590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2505031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eefeeefe. What is prob of picking 2 f and 1 e?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 11:52 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4100.3848 - -4099. Round w to 2 dps.\nAnswer: -1.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -8*x - 2. Suppose 0 = 4*y + 2*w - 8, 3*y - 96 = 5*w - 64. Let n(k) = k. Let l(o) = 20*o + 5. Let b(i) = -l(i) - 3*n(i). What is y*b(h) - 11*d(h)?\nAnswer: -4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*n**3*y**3 - 7*n**3*y - 2*y**3 - 11*y wrt n?\nAnswer: -21*n**2*y**3 - 21*n**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 m when two letters picked without replacement from {m: 2, r: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3324.539 weeks in seconds?\nAnswer: 2010681187.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 12:31 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 11:58 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1412633178 - 1364*t - 1412633178.\nAnswer: -1364*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -557*c. Give z(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 416491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 202472 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from {i: 4, l: 10}.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7.6 (b) 13 (c) -4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/5 in 2\/5, 3\/38, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 15.04\nAnswer: -45.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11895748107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2 + 36. Let z = 32 - -44. What is the greatest common factor of j and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 - 12*i**3 - 14*i**2 + 12*i + 13.\nAnswer: (i - 13)*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 1848833.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-8))**50 assuming p is positive.\nAnswer: p**450","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/((-19)\/(-13)))\/(10\/(-65) + (-18)\/52)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -28 - 16*b - 67 - 37. Calculate the remainder when x(-10) is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t**(1\/25)*t))\/t**4 assuming t is positive.\nAnswer: t**(-76\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1202, -2332, -3442, -4526, -5578, -6592?\nAnswer: -7562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2 - 7*l - 12 = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -115 (c) 1601\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 10*g - 3. Let z be k(10). Let i(f) = -10*f**3 - 2*f**2 - 4*f + 1. Is i(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -9 - 16. Let x be ((-4)\/270)\/(p\/(-25)). Is 1 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 1.07 (b) -6 (c) -40 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5191 + -7477. List the prime factors of (4 - 6)\/(9\/a).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7 + 26 + 38 + 2*h. Let q be m(-17). Let a be 1*2 - (-1)\/1. Solve 0 = 2*y - 10, -q + a = -d - 4*y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.3 + 3.1. Let u = 349.9 - 353. Let q = u - x. Which is bigger: -26 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19795117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25058 in -6, -1, 4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (289*f**2 - 289*f**2 + f**3)*(89*f**2 + 50*f**2 - 19*f**2 + 47*f**2).\nAnswer: 167*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + -2 + 12 - 2. Suppose -h + p*h + 3*m - 812 = 0, 5*m - 620 = -3*h. What is h rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2. Let d(l) = 8*l**2 - 4*l - 4. Let i(m) = -5*m - 3 - 5*m**2 + 5*m**2 + 2*m + 7*m**2. Let v(j) = -6*d(j) + 8*i(j). Give c(v(x)).\nAnswer: 64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.4116 and -0.1.\nAnswer: 0.94116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20631, -23667, -26703, -29739?\nAnswer: -32775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -14 + 6 - (2 + -12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (384736\/(-264))\/(10\/15). Is z equal to -2189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**2 - 4*l. Let o(b) = b**2 + b. Determine 6*o(y) + x(y).\nAnswer: 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9851 is divided by 78.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22954944 - 22954593.00754. Let a = -351 + w. Round a to 4 dps.\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 13. Let l be 14 - 0\/(8\/m). Let p(v) = v**2 + v + 126. Let s be p(0). What is the greatest common divisor of s and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-27)\/(-21) - 2\/(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 16*c**2 - 3*c + 7. Let d be h(-16). Let w = 2 - -9. Calculate the greatest common divisor of d and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -2\/5, 1, -1\/2, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1235 - -1237. Which is the nearest to 1? (a) -0.03 (b) w (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79580 divided by -346\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and 94852.\nAnswer: 104337.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 79198.0108 rounded to the nearest ten?\nAnswer: 79200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 492022 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a kilogram in grams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3*u - 100 = -82, -12 = -p - u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13200422?\nAnswer: 2, 6600211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8567 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 546768 a multiple of 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 4. Suppose -2*y + 4 = -2. Let v be y\/(1 - 2)*-4. Solve -n*g - g + 5*o = 20, 5*g = o - v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32365067 (base 8) to base 11.\nAnswer: -3a11068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13228515 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2.23, 2, 5, -3, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*c + 409 = -191. Let f = -5 - -25. Solve 4*g = 5*x - f, c = -g + 2*x + 3*x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2170, 2177, 2188, 2203, 2222, 2245, 2272?\n\"Answer: 2*f**2 + f + 2167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*k + k + 255 = 0, 0 = 5*p - k - 270. Let r = 33 - p. Round r to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 7*x - m + 4935 = 0, 5*m = -5. Suppose -5*j - 69 + x = 2*h, 4*j - 945 = h. Suppose -4*u = u - j. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485.785t in micrograms?\nAnswer: 1485785000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -18932795.\nAnswer: 2\/18932795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 719449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75208 = -69*c + 52*c. What are the prime factors of c?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106750.\nAnswer: 2, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 3166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8779 + -8774. Solve -1 = -6*r + b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -c4c?\nAnswer: c4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -18725262 + -717?\nAnswer: -18725979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + 3*t - 2*t)*(8546 - 126*t - 8546) to the form p*t + l + o*t**2 and give o.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/39 and 77\/312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 - 65. Let p(r) = 6 + 5*r + 9*r + x*r - 4 - r**2. Let f be p(18). What is the third smallest value in 7\/2, 4\/9, f?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0166560273 to six decimal places.\nAnswer: 0.016656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.4 - 5. Let h = -145005 + 145009. Which is the nearest to 0.1? (a) n (b) -2 (c) 1\/4 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1180)\/(-200)*-15)\/(279\/(-62))\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 2*k - 12 = 10*f, 2*f - 11 = -3*k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -2)\/(2\/4). Suppose -4*j + c - 2*c + 5 = 0, 5*c - 25 = 3*j. Suppose l*s + 6 = j, 2*n + 3*s = 59 + 160. Round n to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - o**2 - 4*o - 5. Let s(w) = -2*w**2 + 9*w. Let c be s(5). Let l(m) = -m**3 + m**2 + 3*m + 4. Determine c*l(u) - 4*t(u).\nAnswer: u**3 - u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + u + 48 = 0, 0 = -b - 4*u + 2 + 16. Let v be 454\/b + (-2)\/5. Suppose -2*z + v = o, 5*z + 2*o = 5*o + 96. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 16309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from kdkkkkkddkkdkddddkdd?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -42417 greater than -975582\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - g = -14, 5*m - 1074 = -3*g - 1176 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -524, -1041, -1542, -2027, -2496, -2949, -3386?\n\"Answer: 8*b**2 - 541*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 421 - 839 + 418 + 1997*z to p + k*z and give k.\nAnswer: 1997","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**1)**(-1\/59))**(-1\/47))**(-40))**(-28) assuming v is positive.\nAnswer: v**(2240\/2773)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 0*x + 4*r - 69, -217*r + 21 = -4*x - 216*r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/5))\/(a*a**(-2\/7)*a*a))\/(a**(-3\/11)\/(a*a**(-2)))*(a*a*a\/(a*a*a**(-2))*a)**13*(a\/((a*a**(-2\/5))\/a*a)*a)**(-4\/25) assuming a is positive.\nAnswer: a**(476769\/9625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1231 is divided by 88?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 391, 2, 3, -3, 36 in descending order.\nAnswer: 391, 36, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*60\/88*3212\/(-1314).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/10*(-2)\/((-31)\/((-1550)\/(-60))) - 32?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2004512450.\nAnswer: 2, 5, 40090249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62310 = -224*y + 139802 + 46528. Which is greater: 3328\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46\/5 + -9. Suppose -p - 3 + 5 = 3*a, -4*p = -a - 8. Which is smaller: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2140\/(-712) - -6*3\/6. Let j = 149 - 101. Let d = j - 49. Which is bigger: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 424.7 + -425. Let n = -5.4 + 5. Let u be 12\/(-30)*15\/27. What is the closest to u in s, n, -6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -7\/24*u**4 + 1\/60*u**5 + 5*u**2 + 6 + 0*u + 2*u**3. Factor w(s).\nAnswer: (s - 4)*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8480 divided by -106?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594 is divided by 65?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -121 - -169. Let a(m) = -m**2 + 6*m - 2. Let n be a(4). What is the greatest common factor of n and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a**4\/7 + 99*a**3\/7 - 174*a**2\/7 + 72*a\/7 = 0.\nAnswer: 0, 3\/5, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, -4, 1\/2, 0.1, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 2. What is the remainder when f is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-1)*(306\/(-408))\/(6\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.49 take away -191.184?\nAnswer: 193.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-10 + 0 + (22 - -4)) - 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30190 plus -121.78?\nAnswer: 30068.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 8*r**2 - 2*r + 10. Suppose a = 73 - 8. Let i = 87 - a. Suppose 5*d = 18 + i. Calculate s(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 341268298 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11102202211 + -2010?\nAnswer: 11102200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1668 + -3261\/2. Let s be (-35)\/(-49) - (-2)\/7. Calculate the common denominator of q and 2096\/24*s\/(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/((-9)\/(-159))*(-1 + 6). Find b, given that 140*b**2 - 35 - v - 92*b**2 + 6*b**4 + 39*b**3 - 120*b**2 - 645*b = 0.\nAnswer: -5, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.2 - -1. Let c = t - -0.8. What is the biggest value in c, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-1\/15)\/p))\/(p\/(p*p**0)))\/(p**(-1))**(-6\/5) assuming p is positive.\nAnswer: p**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 12*g**2 - g + 16. Let d be y(12). Let c(i) = -3*i + 5. Calculate c(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 28 = -12. Calculate the greatest common divisor of u and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 311811570 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16530 (base 8) to base 13.\nAnswer: -355b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o**5 - 8*o**4\/3 + 10*o**2\/3 - o - 2\/3 = 0. Calculate o.\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 98987.19 nanoseconds?\nAnswer: 0.09898719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -39. Let u = 79.245319 + -61.24529. Let x = p - u. Round x to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 968 - 7671*u**3 + u - 968.\nAnswer: -7671*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 88\/4*(-52)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22706250 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54448 and 47642.\nAnswer: 381136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**6\/40 - 19*a**5\/60 - 5*a**2 - 3*a. Let j(k) be the first derivative of p(k). What is the third derivative of j(r) wrt r?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1293784*p**2 + 12488198 wrt p?\nAnswer: -2587568*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 181 by 815.\nAnswer: 181\/815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3594 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5922 and 731506590.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 254 - 249. Let p = -48.6 + 52.6. Which is the nearest to 0? (a) v (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -52\/2355?\nAnswer: -52\/2355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 493 - -3.\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 170 * 477\nAnswer: 81090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**3 + 13*h**2 + 12*h - 5. Let b be p(5). Let k(w) = w**2 - 6*w + 5. Calculate k(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 1. Let b be y(-2). Let v(r) = -r + 4. Let q be v(0). Put b, q, 1 in decreasing order.\nAnswer: q, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1292 + 316541\/245. Which is the biggest value? (a) s (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2686708 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 617590820 and 741108984?\nAnswer: 3705544920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6*m**2 - 2. Let l(v) = v**3 + 25*v**2 - 9. Determine -9*c(n) + 2*l(n).\nAnswer: 2*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2408\/65 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1143 - 1011?\nAnswer: -2154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*d + 1306, 2*d - d = -j + 653. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5161*a - 525321 + 216940 = 388354 for a.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45589492577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -18842, 3\/4, -4 in descending order.\nAnswer: 3\/4, -4, -18842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 67 = -2*m + 71, 0 = -4*m + 5*n + 26 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 u, and 2 e when four letters picked without replacement from {e: 4, u: 1, a: 2, p: 5, c: 4}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45303\/182422 - 48\/463. What is the common denominator of t and 119\/1970?\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4600*o**2 - 33*o. Let v(w) = 7*w + 39. What is v(p(z))?\nAnswer: 32200*z**2 - 231*z + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*s**2)*(-2*s + 6*s - 2*s)*(-344*s + 28*s - 202*s).\nAnswer: -2072*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 11*p**2 + 16*p + 972. Give t(13).\nAnswer: 842","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.0326 + -2.0326. Which is the nearest to -6? (a) 3 (b) 0.409 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d. Let x(i) = i**2 + 3*i - 10. Let s be x(-4). Let k be s*(-4 - 55\/(-15)). Let m(b) = -4*b**2 + 801 + 18*b**k - 801. Calculate p(m(j)).\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22659c - -4?\nAnswer: -226598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**4\/12 + 11*c**3\/3 + 8*c**2 + c - 28. Let s be z(23). Let w(a) = -a**2 - 3*a + 9. What is w(s)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-4))\/((-87)\/145).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15*(-4)\/36*-3. Is 70\/j*(-71)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 16*m**2. Let d(h) = 2*h - 29 - 4*h + 29. Give d(q(k)).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3800 divided by -5?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 486155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 608 and 1140?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 144335 (base 6) to base 4\nAnswer: 3122003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 + 50.9. Let b = -0.13 + -1.07. Let p = c - b. What is p rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16da - b?\nAnswer: 16cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 215821462\nAnswer: -1\/107910731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/5)*l\/((l*(l\/l**(1\/4))\/l)\/l))\/(l\/l**1)**(-2\/153) assuming l is positive.\nAnswer: l**(21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l + 20. Suppose -5*o - 2 - 43 = 0. List the prime factors of h(o).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 15. Let x = w - -5. Which is the fourth smallest value? (a) x (b) -5 (c) 0.5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 65 = -5*h, -3*h - 14 = -4*h - d. Suppose -i + 3 = -5*u, -h = -3*i - 0*u + 5*u. Sort 0, -3, i in decreasing order.\nAnswer: i, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 22*c**2. Let a(d) = d**2 - 5*d + 3. Let o be a(3). Let i be (-2)\/o*(3 - 0). Let h(y) = 67*y**2 - 31*y**2 - 35*y**i. Determine h(g(f)).\nAnswer: 484*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -4, -12294 in descending order.\nAnswer: 23, -4, -12294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -584, -1292, -2470, -4352, -7172, -11164, -16562, -23600?\nAnswer: -32512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3016599km to millimeters.\nAnswer: 301659.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*p - 38*p - 1341 = 0. Suppose 145*y = p*y + 23188000. Round y to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 7\/520705?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -301 - 50141255?\nAnswer: -50142000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 0*y**4 + 0 + 0*y**2 + 5*y - 1\/5*y**5 + 1\/2*y**3. What is the second derivative of f(s) wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70439?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u + 3*x = 0, u = -2*x. Let q = u + 2. Suppose -4*w - 11 = -q*z - 3*w, -4*z + 3*w + 19 = 0. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 5*z - 3. Let w be m(3). Suppose 4*n - 16 = w*u - 5*u, n = u - 2. What is the highest common divisor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10 - 7 - (2 + -3 + 4). Let o be (-8 - 2)\/(1 + w - 3). What is the greatest common factor of o and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d*j**2*l**2 + 2*d*j**2 - d*l - 138*d + 7349*j**2*l**2 + 4*j**2*l - l wrt l?\nAnswer: -6*d*j**2 + 14698*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3100132223 + 2?\nAnswer: 3100132231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -310*a**3 - 8*a + 47*a**4 + 934*a**3 - 313*a**3 - 3*a**4 + 141 - 310*a**3 wrt a?\nAnswer: 528*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 1, n: 1, z: 2}. What is prob of sequence sn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2 - 62530*k - 62531 = 0. What is k?\nAnswer: -1, 62531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 235 + 326 - 785 + 224.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)*-2 - (sqrt(3)*1*3 - sqrt(3)))**2 + (sqrt(9)\/sqrt(3)*-4 - ((sqrt(192) - sqrt(192)*-2) + sqrt(3))**2) + -1.\nAnswer: -1684 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*p - 24*p. Solve -2*b - 3*l + 8*l + 31 = p, 2*l = -10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10 + 1349\/133)*(1 - 5436). Which is bigger: z or -776?\nAnswer: -776","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -812, -530, -56, 610?\n\"Answer: 96*i**2 - 6*i - 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 b, and 1 u when three letters picked without replacement from bbbubuubbbubububbuua.\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4. Suppose 7*d - 683 = -669. Let g(h) = h**3 + 12*h**2 - 14*h. Let f be g(-13). Let z(n) = 5 - 4 + 12*n - f*n. Calculate d*k(r) - 6*z(r).\nAnswer: 6*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2138 + -1438. Suppose p - 140 = -0*p + 2*j, 4*j = -5*p + w. Is 28 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**5\/3 - 2126*m**4\/3 - 756134*m**3\/3 - 90973042*m**2\/3 - 354886432*m\/3 - 351895816\/3.\nAnswer: -2*(m + 2)**2*(m + 353)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 178 = -q + 11, -3*q - 28 = -y. What is the remainder when y is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10*33887\/1442*(-20)\/(-4).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/5*4*(-6)\/168\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = p - 5*o, -p - 4*o - 1 = -19. Let z be 159\/27 - (-13)\/117. What is the third derivative of 12*m**4 - 7*m**p + z*m**2 + m**2 + 13*m**2 wrt m?\nAnswer: 288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 208699384*b**3 - 1081*b**2 - 71396*b?\nAnswer: 1252196304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/2 + 92*o**3 + 540*o**2 + 1072*o + 712.\nAnswer: (o + 2)**3*(o + 178)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**23)\/a**16)\/((a**(-1\/2)*a)\/a**(-2\/33)) assuming a is positive.\nAnswer: a**(491\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/1035 and -83\/173562600.\nAnswer: 520687800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 25 = 3*l. Let r be (-4)\/8*-6 + l. Let d = 8 - r. Solve 0 = y - d*o + 2*o + 6, 0 = 2*y - 4*o - 20 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3328*m - 41375 - 49066 - 16055 = 0 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-7 + 20 + -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 4958*g**2 - 364752*g - 6612192.\nAnswer: 2*(g - 2551)*(g + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 223*l + 7119. What is the remainder when m(-31) is divided by (52\/(-6))\/1*-3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(0 - 3) - 43. Let z be 3\/(x\/(-12))*-5. Let p(n) = -14*n**3 + 11*n. Let j(g) = 5*g**3 - 4*g. What is z*p(q) - 11*j(q)?\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5415, -21648, -48703, -86580, -135279, -194800?\nAnswer: -265143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {v: 7, b: 5, j: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402 = -10*m - 678. Let h be (-14)\/18 + 24\/m. Let a = -54306\/31 + 1752. Which is smaller: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/18)\/((-7)\/14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 46*u + 302. Let b be w(-48). Suppose -2289 = b*d - 209*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.22 in 23, -2, -2\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2535 and 225?\nAnswer: 38025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1044886?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2369+1\nAnswer: -2368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-4)*9\/(-90)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, n: 2, x: 1, y: 4, c: 2}. Give prob of picking 1 n and 1 q.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*c - 815*c - 867*c + 76538 = -202*c for c.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 17*v**2 + 16*v + 2. Let k be q(-16). Which is smaller: 4\/3 or k?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 77 - (-42 + (-15 - -104))\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**6\/8 + 3*h**5\/10 - h**3\/2 - 3*h**2\/8 - 6. Factor r(t).\nAnswer: 3*t*(t - 1)*(t + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -509, -440, -335, -200, -41?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 4*u**2 - 3*u - 3. What is g(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 10*d. Let s be 1\/(2*1\/(-12)). What is the tens digit of l(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2 - 6*t + 12 - t + 4*t**2 - 3*t. Let g be (-1 - 12)\/(1 + -2). Is b(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2\/3, 1.86342, -3 in ascending order.\nAnswer: -3, -2\/3, 1.86342, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 7*y**2 - 8*y**2)*((y + y + 0*y)*(0*y + 4*y - 2*y) - y**2 + 2*y**2 + 3*y**2 - 3*y - 2*y**2 + 3*y).\nAnswer: -78*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188294*b - 94154*b - 94120*b + 3*b**3.\nAnswer: 3*b**3 + 20*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 137*t**2 + 38*t - 48. Is b(37) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/9*1572\/1834)\/((12\/153)\/(-1))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 1 + 3*n**2 - 1\/4*n**4 + 4\/3*n**3 - 5*n. Determine g(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*t + 16, 109*n - 113*n = 6*t - 26. Let r = 37\/6 + -14\/3. Sort n, 6, r in decreasing order.\nAnswer: 6, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -13*m + 359 - 178 - 181. Let r(h) = -168*h. Determine 64*i(a) - 5*r(a).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 737 and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 308*i**3*m**2*t**2 - 146*i**3*m**2 + i*m*t**4 wrt t?\nAnswer: 616*i**3*m**2*t + 4*i*m*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4. Let m = 6 + i. Calculate the least common multiple of 14 and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 divided by 85.\nAnswer: 94\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) -5 (c) -3 (d) 1 (e) -7\/8 (f) -978\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -10, 11, 3 in descending order.\nAnswer: 11, 3, 0, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen fifths of a hour?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 74. Let u = y - -204\/7. Let a = 22 - 22. Do u and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117684119 take away -7691.7?\nAnswer: -117676427.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 4.24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 9*x**2 - 35*x + 10. Let a be y(4). What is the second derivative of -2*d**5 - 77*d**3 + a*d - 122*d**3 + 138*d**3 wrt d?\nAnswer: -40*d**3 - 366*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000181624 rounded to six decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48\/112 - 57\/35. What is the biggest value in 1\/2, d, 5\/12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*b = n + 51, 0 = -4*n - 5*b - 63. Let d = n + 25. Suppose d*g = 0, 5*i - 4*i = g + 91. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -68, -137, -206, -275?\n\"Answer: -69*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 52*k - 44*k + k**2 - 3 + 0*k**2. Let o be u(-8). Let r be ((-39)\/(-9))\/(-1) - 26\/39. Is r <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 1. Let b = 5 + -10. Let s be 1 + -1 + 1*b. What is the biggest value in s, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from jjnnjnjjnj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 18*r - 1. Let k(l) = -l**2 - 11*l - 27. Suppose 556*v - 559*v - 21 = 0. Let t be k(v). Calculate y(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 14*w**2 + 7*w + 2. Let l(j) = -j**2 + j. Calculate -6*l(d) + q(d).\nAnswer: 20*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/125 in 4, 0.5, 1, -4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 4 + -2 + 5 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1. Let w = 623\/5 + -125. Let z = 371\/610 - 1\/122. Which is the closest to p? (a) w (b) z (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19198, -19204, -19214, -19228?\n\"Answer: -2*f**2 - 19196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 735 divided by 147?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7732808 and 20298621?\nAnswer: 162388968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrrxqrrn. What is prob of picking 1 n and 3 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - 1*(0 + sqrt(704))) + sqrt(704) + (-2*sqrt(704) - sqrt(704) - sqrt(704))*2 + -5 + 3)**2.\nAnswer: 224*sqrt(11) + 34500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -474 or -24?\nAnswer: -474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16751757 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 206*v**2 - 2*v - 2. Let b be u(3). Let y = b - 2638. Calculate the common denominator of 1*4*(-567)\/y and 23\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v - 8*v - 10*v)*(-2*v**3 - 16 + 11 - 22).\nAnswer: 24*v**4 + 324*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-820)\/(-3772)*6\/(-10).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-7) - (-7685)\/203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8824403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 19*t**2 + 4*t - 13. Let h(k) = -19*k**2 - 5*k + 12. Let y(b) = 4*h(b) + 5*u(b). Find the first derivative of y(q) wrt q.\nAnswer: 38*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 2\/481, -3\/5, 26, 0.039, 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1323, 1\/4, 3\/5, 1\/13, 0.4.\nAnswer: 1\/13, 1\/4, 0.4, 3\/5, 5, 1323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 33952*a**2 - 135760*a - 135744.\nAnswer: -4*(a + 2)**2*(a + 8484)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -4 (c) 0.4 (d) 0.5 (e) -1471\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 449 + -446. What is the first derivative of -31*j**2 + 47*j**3 + 15*j**2 + 32*j**n - 111 + 16*j**2 wrt j?\nAnswer: 237*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7, 11, 15, 19, 23?\n\"Answer: 4*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1874448*k + 80601268. Determine f(43).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1246584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.158 - 0.038. Let v(m) = m**3 + 4*m**2 - 7*m - 15. Let b be v(-5). Sort -3, c, b.\nAnswer: b, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 - -71. Suppose -v*d - 104 + 504 = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*c = -28*c - 852 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**4*m - 77*b**3*f*m + 15*b**3*m - b**2*f*m + 3*b**2*m - 2*b*f + 15*b wrt b?\nAnswer: 24*b*m - 462*f*m + 90*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f**2 - 2*f**2 - 3*f**2)*(0*f**2 - 19*f**2 + 2*f**2)*(0 - 1 - 1).\nAnswer: -374*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -2\/9, 14, -0.2, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -5*y - d, -12 = 319*y - 312*y - 36*d + 169 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -42*q. Let g(p) = p**2 - p - 9. Let m(b) = 5*b + 45. Let j(w) = -5*g(w) - m(w). What is j(u(c))?\nAnswer: -8820*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-42)\/(-4)*(-1 - (-93)\/21). What is the third derivative of 9*x**4 + 10*x**4 - 6*x**4 + l*x**2 wrt x?\nAnswer: 312*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/3983 and -1\/6010347.\nAnswer: 6010347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 227780*-39\nAnswer: -8883420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**2\/7 + 1944*a\/7 + 85441\/7 = 0.\nAnswer: -43, 1987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1103065 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 12*a**2 + 34*a + 56. What is z(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 1. Let b(n) = 3*n**2 - 5*n + 6. Let i(g) = b(g) + l(g). What is the hundreds digit of i(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -15\/8 (c) -2 (d) -1 (e) 1.599 (f) 0.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 14*m + 704. Let d be o(-50). Which is smaller: d or 14\/5?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.008 (b) 1 (c) 13 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8\/30 + (8228136\/(-1935))\/(-119)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 1. Let d(m) = m + 16 - 33 - 2*m + 14. Let z(b) = -d(b) - 2*p(b). Determine z(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62984 and 1?\nAnswer: 62984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 3719*y**2 + 14883*y - 2. Determine c(4).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -117.\nAnswer: -4\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**6\/720 + i**4\/6 + 3*i**2. Let t(c) be the second derivative of u(c). Give t(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/1900 and -13\/380.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 858175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, 417 in increasing order.\nAnswer: -9, 1, 417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4823, 36275, 121669, 287975, 562163, 971203, 1542065?\n\"Answer: 4495*k**3 + k**2 - 16*k + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 0, -3*u - 2*u = 2*r. Suppose u = 3*y - 8*y + 5. Let k be (-2 - -3)\/((-2)\/(-10)). Solve -14 = -k*d + y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-24)*-309)\/(62\/18118). Let r = i + -15051. Find the common denominator of r and (-378)\/48 + (-2)\/4.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x**2 - 4*x**2 + 15*x**3 - 6*x**3 - 5*x**2 - 12*x**3.\nAnswer: -3*x**3 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (-24 + -100 - -210).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7834, -62784, -211936, -502390, -981246, -1695604, -2692564, -4019226?\n\"Answer: -7850*n**3 - n**2 + 3*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuluuullu. What is prob of picking 3 l?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 - 96*f**2.\nAnswer: -4*f**2*(f + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 467856161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/5)\/((((-208)\/1060)\/13)\/(-4)). What is the third biggest value in k, -0.2, 1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) -0.1 (b) -10 (c) 2 (d) 1\/2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7401*j - 6473*j + 13066*j.\nAnswer: -808*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.011228 + 5.7314. Let t = q + -0.72. Round t to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 2. Let k be m(-2). Let z(q) = 3*q + 4. Let p be z(k). Solve s + 3*c + p = 0, 3*c = -3*s - 0*c - 18 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17610674 to the power of 1\/2, to the nearest integer?\nAnswer: 4197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**4\/24 + 7*w**3\/2 + 11*w**2 - 1. Calculate the remainder when 109 is divided by z(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -31 (b) 0.2 (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*x)*(-53*x - 804*x**2 + 99*x - 46*x).\nAnswer: -1608*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*p - 2 = 0. Suppose -4*m - 5 = -2*w - 3, m + 11 = p*w. Suppose 3 = -h + w. Sort -10, h, -1 in descending order.\nAnswer: h, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 11*i**2 - 4*i + 21. What is t(-10)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/7 + 913652*d\/7 + 104344997138\/7.\nAnswer: 2*(d + 228413)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 177\/295 + (-96)\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00156786769 to six decimal places.\nAnswer: -0.001568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 66, 91, 118, 147, 178, 211, 246?\n\"Answer: r**2 + 22*r + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -9. Let g be 4\/(3*3\/k). Solve y + g*n = -15, -5*y = n - 4*n - 40 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 2*g + 624, -752 = -5*p + 4*g - 110. Let a = p - 122. Suppose 4*r = 2*z + 2, -2*r - 31 = -a*r - 5*z. Solve -5*h = -4*h + r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o**4 - 13*o**3 + 2965*o**2 + 11684*o = 0. Calculate o.\nAnswer: -127\/6, -4, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -15, -4 = -6*s + z + 11. Solve -44*d - s = -45*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/55 + (-8 + (-2188)\/(-180) - 3).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47\/4 not equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/26)*v*v*v**(-24))\/(v**25)**(5\/4) assuming v is positive.\nAnswer: v**(-2767\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 70 = -5*l + 65, -2*l = 4*d - 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133875 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -47, -62, -103, -182, -311, -502, -767, -1118?\n\"Answer: -2*n**3 - n**2 + 2*n - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -8*q + 10*q. Let f(g) = -g**3 - 2*g**2 - g. Let u be f(-2). Suppose 0 = -u*j - 10 + 22. What is the remainder when q is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.3620792 rounded to 2 decimal places?\nAnswer: -21.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 3, -2, 15, -17, 12 in ascending order.\nAnswer: -17, -3, -2, 1, 3, 12, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 8:23 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-2 + 0 - -3). Suppose 0*n = -4*c + s*n + 14, -3*c = -3*n - 18. Calculate the least common multiple of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -279*p**2 + 3 + 1 - 27*p**2 + 45*p**2. Let k(t) = -t. Calculate x(k(u)).\nAnswer: -261*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1203*s + 808\/3*s**3 - 558 - 1\/3*s**5 - 28*s**4 - 886*s**2 = 0. Calculate s.\nAnswer: -93, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*k + 110*k**2 - 37*k + 17*k + 13*k + 121 - 112*k**2 to the form i*k + q + u*k**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244220 - 254468 = 168*u for u.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3*25\/(-105)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 6*u**2 + 2*u**2 - 63 - 3*u**2 + 0*u**2.\nAnswer: 4*u**2 - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 3. Let f = x + 7. Which is the biggest value? (a) f (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50987 and 302117.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011100100101100010101 (base 2) to base 3.\nAnswer: -100122200110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 118414*t**2 + 106076*t wrt t?\nAnswer: 236828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141737 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnjunutuuunut. What is prob of picking 2 u?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i - 3*i + (0 + 0 + 2*i)*(0 - 3 + 1))*(-8 + 9 + 4*i + 0*i)*(6 - 2 + 0).\nAnswer: -144*i**2 - 36*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783664977 is divided by 1190.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 23*p - 76. Let t be n(-19). Sort 5, 3, 27, t in descending order.\nAnswer: 27, 5, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 4*d**3 + d**3 - 2 + (-5*d**2 + 2*d**2 + 5*d**2)*(0*d + 2*d - 4*d) + 28*d - 56*d - 10*d**3 + 26*d as i*d**2 + h*d**3 + g + x*d and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.25 - 18.95. Let f = p - -16.2. Put 1\/2, 4, 1, f in descending order.\nAnswer: 4, 1, 1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 614596.1 weeks to seconds.\nAnswer: 371707721280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4173 divide 1789152885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -10*f**2 + 86*f + 539. Determine y(-6).\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**3 - 57368683*b**2\/4 + 71710859*b\/4 - 3585543 = 0 for b.\nAnswer: -14342172, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -390*z - 1395*z + 8 + 305*z - 8 to g*z + k and give g.\nAnswer: -1480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 74*l + 71*l = -23, 2*t - 4*l = 6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2154213420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -5*b - 4*q, -3*q + 31 = 5*b - 2*q for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-16))\/(26\/(-568)*(-714)\/37128).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 less than 0.088?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 3060*l - 30468. What is f(10)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*s - 0*s. Let j = -48\/95 + 2\/19. Which is smaller: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492\/(-406) - (-1104)\/966?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i - 30*i - 7273 = -4*m, 2*m - 10 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 314*m**2 - 23865*m.\nAnswer: -m*(m + 129)*(m + 185)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}