diff --git "a/data/dm_maths/full_data_1/1974_11255.jsonl" "b/data/dm_maths/full_data_1/1974_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1974_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let l(y) = 3*y**3 + y**2 + y + 1. Let q(t) = 111*t**3 - 3*t**2 - t - 3. Determine 2*l(a) + q(a).\nAnswer: 117*a**3 - a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 5) to base 4\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*b - b + 81, 5*c - 39 = 3*b. Suppose -4*r - r + 110 = 0. Let t = b + r. Solve -t*y + 6 = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*a - 23, 2*n = 2*a - 3 + 9. Suppose 4*p - 6*q - 8 = -4*q, 2*q + 2 = -2*p. Put a, p, -2 in decreasing order.\nAnswer: p, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 7 (c) -4 (d) -15 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -131.991 - -131. Round h to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.237 + 0.063. Let b be (((-4)\/18)\/2)\/((-10)\/(-20)). What is the third smallest value in b, 1\/28, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z. Calculate q(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, p: 6, z: 4, l: 3, b: 2, i: 1}. Give prob of picking 1 p, 1 f, and 2 b.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -0.643, 1, 3, 2\/5, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 5, v: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -5*j**6\/2 + j**5\/5 + 25*j**2 + 95. Find the second derivative of p(m) wrt m.\nAnswer: -300*m**3 + 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-3\/2)*a)*a*a**(2\/19)*(a\/a**16)\/(a*a*a**(-16\/5)))**45 assuming a is positive.\nAnswer: a**(-19143\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97 - -100. Suppose w + k*f - 3 = 0, 0*w - 5*f = 2*w - 5. Solve w = -6*y + 10*y - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Suppose 0 = -3*x + 42 - 36. Let q(u) be the second derivative of x*u + 0 + 0*u**2 - 2\/3*u**3. Give q(g(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**3 + 12. Determine d so that l(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5472b7 (base 12) to base 6.\nAnswer: -44413551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4 - 1450*b**3 - 182244*b**2 - 1713190*b - 4191725 = 0. Calculate b.\nAnswer: -107, -5, 1567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 296, 299, 292, 275?\n\"Answer: -5*l**2 + 18*l + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2386*j + 30*j**2 + 2334*j + 10*j**2 - 96 - 4*j**3.\nAnswer: -4*(j - 8)*(j - 3)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 409, 554, 691, 820, 941, 1054?\nAnswer: 1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11359428, 11359330, 11359166, 11358936?\n\"Answer: -33*u**2 + u + 11359460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6*7\/140 - (-20806)\/20 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ac0dbd (base 16) in base 10?\nAnswer: 11275709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -33*i + 28*i + 906, -5*i = 15. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p + 7. Let g be o(-6). Let a = 197 - 195. Sort a, g, 0 in ascending order.\nAnswer: g, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3696, 14674, 32966, 58584, 91540, 131846, 179514?\n\"Answer: 2*t**3 + 3645*t**2 + 29*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 44090 = 2*t + 44056, 58 = p + 5*t for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 10:53 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 630 and 441?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + -6*sqrt(99)*-1 + 4*((2*(1 + sqrt(99) - sqrt(99)))**2 - ((sqrt(99) - (sqrt(99) + sqrt(99)*2)) + -3)**2))*-1.\nAnswer: 126*sqrt(11) + 1603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 17 = -7. Suppose -2*p = y, 15 = -2*n + 3*p + 4. Let w(z) = -280000*z. Let t be w(n). Round t to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -114373 equal to -114353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1045*1.81.\nAnswer: 1891.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(18)*-2 + 4 + -3 + -3.\nAnswer: -6*sqrt(2) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10 - 18\/30. What is the third biggest value in 0.3, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 10 = j, -14*q + 18*q = 4*j - 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z + z. Let a be 4 + (z + 2)*(-1)\/2. Suppose a*x = j - 76, 5*j - 445 = 5*x - 3*x. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*x**2 - 109*x**2 + 51*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - -11003202?\nAnswer: 11003223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25855?\nAnswer: 5, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 71 - 8)*((2 - 3 - 3)*(-4 + 2 + 0)*(-3 + 2*b + 3) + 151*b - 21*b - 64*b).\nAnswer: -7298*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 + 37. Suppose -5*j = -6*j. Sort s, j, 5 in descending order.\nAnswer: 5, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 8:10 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + -1)\/(-1)*(-36)\/108?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -0.29. Let w = -88 + 88.39. Let v = a - w. Sort v, -0.1, -5 in increasing order.\nAnswer: -5, v, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + (sqrt(119)*-2*4 - sqrt(119)))\/((-1*sqrt(77))\/sqrt(11)).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 453*y = -450*y - 32, 88 = 24*z + 4*y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 140*g + 1187. Let a be t(8). Determine w so that -2\/9*w**a - 2\/9*w**2 + 2\/9*w**4 + 2\/9*w + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17992009*t**2 - 29537995*t wrt t?\nAnswer: 35984018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 4*m - m)*(-6 - 6 + 20) + (0*m - 5*m + 3*m)*(8 + 47 - 30) as u + h*m and give h.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 13. Calculate the remainder when 30 is divided by p(24).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 126 and -85.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 1:34 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, t: 1, m: 2, f: 1, v: 4}. Give prob of picking 1 m, 1 w, and 2 v.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -399*c**3 - 56*c**2 + 18*c + 3485809?\nAnswer: -1197*c**2 - 112*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*d**3*u**2 - 3*d**2*u + d*u**2 - 7*d*u + d wrt d?\nAnswer: 210*d*u**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -32. Solve 0 = h + h - y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 108546 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57 + -10 - 4) + 17 + 5 + -8?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1752*v = 1635*v - 855*v - 56740 - 143288 for v.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -29.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + g + 21, -8*h - g = -3*h - 27. Let a be 3\/6 + 27\/h + -3. Solve -7*y + 20 = -a*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6734 - -5?\nAnswer: 6739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -37*l + 110. What is f(5)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*z + z, 2*z - 163 = -3*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 130.5 + -260. Let r = 130 + w. Which is the second smallest value? (a) r (b) 3\/4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20378 is divided by 275.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -7*w + 20. Suppose 0*u = -w*u - 4*s + 472, s = 4*u - 365. Does 27 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236774 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((22 - 23)*(-2 - -2))\/2. Solve 32*v - 35*v - 6 = s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -168 - -1171\/7. Let n = -109 + -62. Let b = n + 171. Which is smaller: b or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide (10\/(-175) - (-22336185)\/1050)*(-4)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 356 + (0 - 2\/(-1)). Suppose -s + 230 + h = 0. Suppose 0 = -2*g - 2*g + s. Calculate the greatest common factor of g and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 4*z + 21, 12261 = 3*z - 5*o + 12285 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 500 - 518. Which is the second smallest value? (a) 3 (b) -0.04 (c) -5 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 24 = -l. Let f = -29 + l. What is the third smallest value in -4\/7, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = -79*n + 90*n. Which is greater: n or -30?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (0 + 3)) + -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 - -93. Suppose t*k - 2 = 6. Solve 2*o + 4 = 5*w + k, 5*o - 14 = 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*u + 246*u**4 - u**2 + 1599 + 3*u**4 - 8*u wrt u.\nAnswer: 5976*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 4*u - 2*n, u = -u + 4*n + 84. Suppose 5*l - 70 = f - 42, 4*l - 44 = -10*f. What is the least common multiple of l and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 15 = 5*g. Suppose -g*w + 7 = i, -67 - 6 = -5*i - w. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 21*p + 20*p + 15 = 0, -5*p = -r + 9. Let f(o) = -o**3 - 6*o**2 - 5*o + 3. Let g be f(-5). Solve g = -2*a + 4*d - 5, -3*a - 2*d + r = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -6)*(2948\/20)\/11. Solve -73 = 2*a - p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*f + 15 = 0. Let d = 2 - f. Suppose 4*h - d - 23 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18030823774 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from cchccccchc?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-5))\/((-16)\/40). Let r be 0 - g\/(-21) - (-26)\/42. Factor -r*m - 1\/3*m**2 + 2\/3.\nAnswer: -(m - 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*s**3 - 41*s**3 + 118*s**3.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**6\/120 + v**5\/12 - v**4\/12 + 5*v**3\/6 - 3*v**2. Let p be b(5). What is the units digit of (-4)\/p - 484\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 0.0727.\nAnswer: 0.9273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 3*b + 6 = -5*k, -4*b - 2*k - 12 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4695235 and -0.03837.\nAnswer: 4695234.96163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 - 2*j. Let p(u) = -286 - 11*u + 573 - 287. What is p(a(g))?\nAnswer: -22*g**2 + 22*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 3. What is i(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5335588.\nAnswer: 2, 199, 6703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 75777 = -36*t + 7*t. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18913636 a multiple of 1366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 7*a**2 - 10*a - 10. Suppose 4*h + 19 = 5*r, 3*h - 2*r + 17 = -r. Let b(n) = -n. Let v(l) = h*b(l) + t(l). What is the tens digit of v(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442661 (base 8) to base 3.\nAnswer: -21120021022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 0*i**3 + 11*i**3 + (0*i + 0*i + 2*i)*(3*i**2 - i**2 + i**2).\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -18\/3587519?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 10*p + 52. Let s be b(-5). Suppose -3\/7*q**3 + 0 + 3\/7*q**s + 3\/7*q - 3\/7*q**4 = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**4\/2 + p**3\/3 - 22*p**2 - 209*p. Is g(-8) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccccjjcc. What is prob of sequence cj?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18880 and 460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*h + b - 24 = -88*h, 3*h + 32 = 5*b. Let s(o) = -o**2 + o. Let u be s(1). Let r = u + -1. Is h at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (-19)\/(133\/(-28)). Which is the nearest to i? (a) -2\/11 (b) 0.06 (c) 3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 515992\/21 or 24572?\nAnswer: 515992\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45004075?\nAnswer: 5, 283, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*z + 217613 = 0, 0 = 66*r - 62*r - z - 174108. List the prime factors of r.\nAnswer: 19, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371 = -13*k - 111. Suppose 0*y + y + 5*r - 16 = 0, 2*y - 2*r - k = 0. Calculate the remainder when 21 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 9*l**2 - 17*l + 7. Let d be x(-6). Sort -22, -4, d.\nAnswer: -22, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/477000 and 29\/2776?\nAnswer: 165519000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.162 or -7\/2?\nAnswer: 0.162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (69\/(-46))\/(2\/8) - -134. Calculate the greatest common factor of y and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13604519 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*p = 36205 - 2906 for p.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.6 + 0.6. Let g = -33.98 - -41. Let t = g - 5.02. Which is the second biggest value? (a) t (b) 2\/11 (c) y (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -5\/42*x**7 - 1\/4*x**5 + 0*x**2 + 0 + 1\/2*x**6 - 5\/4*x**4 + 5\/3*x**3 + 103*x. Determine s, given that v(s) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4827*9\/(-108)*4. Let w = -522 - u. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 0*h**2 + 2*h**2)*(-105*h - 210*h - 45*h + (-5*h + h + 5*h)*(2 + 0 - 4))*(-2 + 0 - 3).\nAnswer: -1810*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48315 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/102 + -1129\/1020. Let x = -6967 - -34832\/5. Find the common denominator of x and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9878*k**3*p*r - k**3*r**2 - 79*k**3 + 9*k**2*r**2 - 112*p*r**2 + 165*r**2 wrt p?\nAnswer: -9878*k**3*r - 112*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2658 divided by -886?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14021 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -213*p + 221*p - 14448. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 10 = -5*o. Let t(a) = o*a + 1 - 2 + 1. Let q(c) = 5*c**2 - 6. Let n(m) = 11*m**2 - 13. Let s(p) = -6*n(p) + 13*q(p). Give t(s(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 25 + 0*z**4 + 0*z**3 - 2\/5*z**5 + 0*z**2 + 14*z. Differentiate p(l) with respect to l.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3368*z - 3103. What is h(1)?\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 161490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8773397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 210 + -1. Let l = 9 + -16. Let m = l + 26. What is the highest common factor of m and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 27309\/167?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -1376 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(60)\/sqrt(192)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 14.556.\nAnswer: -72.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*sqrt(42)\/sqrt(6) - -1*(sqrt(21)\/sqrt(3) + 4))**2.\nAnswer: -6*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -499\/8 in -1, -0.2, 1\/2, -2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-168)\/(-32) + (-1)\/4. Put -5, 3, b in ascending order.\nAnswer: -5, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*w + 2244 = 143*w. What is the remainder when w is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -38. Suppose 2*d - 4*t + 4 = 0, 0 = 2*d + j*d - 3*t - 7. Suppose -x + 619 = q + 3*x, d*x + 1286 = 2*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11704711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 0 - 9 = 0, 80 = -14*c - 4*h + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.127 and 152615.\nAnswer: -19382.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 93, 0.2, -254, 0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5 = -5*r + 42, -5*c = -20. Suppose 2*x + r*x = 1440. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 84. Let f = z - -99. What is the greatest common divisor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 4:16 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 43*j**2 + j - 44. Calculate t(43).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 193742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-3 - -21) + -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8969.94 and -0.1.\nAnswer: 896.994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((7 - 29)\/110)\/((-122)\/20)\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/24)\/1*45\/(-5). Let t = -20 + 142\/7. Which is the nearest to t? (a) m (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1908295, -1908354, -1908413, -1908472?\nAnswer: -1908531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p - 43*p = 19*p + 385 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 - 246*y**2 + 1152*y - 1485.\nAnswer: 3*(y - 5)*(y - 3)**2*(y + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 6:58 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyf when three letters picked without replacement from yyyjffjfyyff.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**5\/60 - 5*h**4\/24 + h**3\/3 + 5*h**2. Let x be b(4). Let z(o) = -o + 2. What is z(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - -4. Let o be (d\/(-30))\/(4\/(-738)). Let x = o + 40. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/7, -0.09, 129 in decreasing order.\nAnswer: 129, 5, -0.09, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdogdgd. Give prob of sequence gg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1173567*c**2 - 2213011 wrt c.\nAnswer: -2347134*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v. Let c(k) = 3*k + 171051 + 171055 - 342107. Give c(x) - 2*s(x).\nAnswer: 5*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1203\/11 at most as big as 17858\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*s - 16, -247*j - 25 = -245*j + s. Let k(c) = 5*c + 9. Calculate k(j).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, w: 2}. What is prob of sequence nnn?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 10. Let x be g(7). Let s be (0 - 0)\/(x\/3). Solve 2*h + 7 = i, 2*i + 3*h + 14 = -s*h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 13 = 3*t + 10, -21 = -5*t - b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 140\/3*t**3 + 25\/2*t**4 + t**5 - 129 + 60*t**2 + 0*t. Suppose o(g) = 0. What is g?\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -21.61944.\nAnswer: -26.61944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/11)\/w*w*w**(-30) assuming w is positive.\nAnswer: w**(-328\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6139*h**3 - 6409*h**3 + 3099*h**3.\nAnswer: 2829*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 126742*m**3 + 9*m**2 - 5111496*m wrt m?\nAnswer: 760452*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(3\/(-2)) - ((10 - 7) + -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 126919717.\nAnswer: -126919716.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 281*x*y**3 + 66*x*y**2 + 2*x*y + 10446*x + 2*y**3 - y + 3 wrt y?\nAnswer: 1686*x*y + 132*x + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9)*v*v*v*v\/v**(2\/13)*v*(v**(1\/2))**(-42))**(6\/13) assuming v is positive.\nAnswer: v**(-1962\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from {b: 10, v: 4}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236203 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-28) + -1)*(-686)\/5880.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(3)*-5 - (-1*sqrt(648) - sqrt(648) - sqrt(648)))\/(sqrt(72)\/(sqrt(24)\/(sqrt(2)*4)))*1.\nAnswer: 13*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -2, 1709, 1\/4, -2\/415?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-135)\/(((-1)\/(-8) + 1)*144\/(-216)). Solve -37*g - f = 42 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45*d - 43555*d + 105 - 42 - 20*d - 63)*(4*d - 6*d + d) to the form u*d**2 + p*d + l and give u.\nAnswer: 43530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x**2 - 7*x**2 + 2*x**2)*(-x**2 - 2*x**2 + x**2) - 3*x**4 + 4*x**4 + x**4 + 4*x**4 + x - 7*x + 4*x to g*x**2 + w*x**4 + v + q*x**3 + a*x and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 1. Let n(t) = t + 1. Let m be (-22)\/(-26) + 18\/117. Give m*d(q) + n(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12393 is divided by 188?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.84 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -2512288.9101?\nAnswer: -2512289.1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 51*m. Let t(q) = -26*q**2 - 12*q - 6. Let z(p) = -44*p**2 - 20*p - 9. Let d(i) = 5*t(i) - 3*z(i). Calculate d(g(n)).\nAnswer: 5202*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18027064457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 925?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 1:12 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 6*v + 5. Let n be m(-5). Do n and 1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28398 = -5*u + 2*b, -4*u = 376*b - 380*b - 22704. List the prime factors of u.\nAnswer: 2, 3, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -868 = 59*q - 2697. Solve t = -2*t + 4*w - q, 3*t + 2*w + 7 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 172\/(2\/4 + (-15)\/(-10)). Let u = 154 - m. What is the highest common factor of u and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2089342500 = 84*r + 91*r. What is r rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -14*c - 6. Suppose 5*x + 55 = 20. Let o be w(x). Suppose 4*y = 5*t - o + 23, t + 5*y = 8. Solve 1 - t = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, p: 3}. Give prob of sequence ffp.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010110001011111101 (base 2) in base 10?\nAnswer: 353021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2. Let f(r) be the second derivative of -7 - 8*r - 5\/6*r**3 + 5*r**2. What is g(f(n))?\nAnswer: -50*n**2 + 200*n - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, o: 1, i: 11, f: 2}. Give prob of sequence pff.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5\/31 (b) 0.05 (c) -0.05 (d) 1.1 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 625011138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -12\/7*a + 3\/7*a**3 - 6\/7*a**2 + 24\/7 = 0. Calculate a.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 - 5)*(26*w + 39*w - 7*w) to l + m*w and give m.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**3 + 40305*q**2 - 62204400*q - 80727192000 = 0.\nAnswer: -819, 4440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -167+1.12244112\nAnswer: -165.87755888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kppakagpkaapr. What is prob of picking 1 g, 1 p, and 2 k?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 4*b + 2. Let u = 1 - 5. Let v be r(u). Let s = 9 - 6. Solve v*d + 4*k = -22, -6*d + 2*d = -s*k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 8\/13, 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34 and 3472\/(-248) - -10*32?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 187*m**5\/60 - 7*m**4\/24 + 11*m**3\/6 - 27*m**2. Is l(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112760143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*p**2 + 0 + 574\/3*p.\nAnswer: 2*p*(p + 287)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3375)\/(-315))\/(-25))\/((-4)\/70 - (-9)\/45)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2093 and 273.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/14022 and 91\/38.\nAnswer: 14022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -21. Let u be (j - (-4 + -241))*1. Suppose 0 = -p - 2*x + 44, -2*p + 7*p + 2*x = u. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1114377?\nAnswer: 3, 11, 33769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 28. Suppose 8*o = 30 - 198. Let r be 4 + (0 - 0) + 78\/o. What is the second smallest value in 0, q, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17709990 to the power of 1\/2, to the nearest integer?\nAnswer: 4208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98 - 90 - (2 - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/25 - 43\/150. What is the smallest value in 4, z, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 10. Suppose -4*s - 5*d = 38, -k*s + 3*d = -38 + 92. What are the prime factors of (6\/(-9))\/(2\/s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/95? (a) 0 (b) -0.07 (c) 1 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Solve -12 + 4 = -o*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5775503 (base 8) to base 7.\nAnswer: -16234034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*f**2 - 49*f**2 + 12*f**3 - 8*f**3.\nAnswer: 4*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -986777, -1972901, -2959025, -3945149?\n\"Answer: -986124*l - 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o\/(o\/o**36)*o))\/(o\/(o*(o\/(o*o\/(o\/o**(10\/3)*o)))\/o)))**(-13) assuming o is positive.\nAnswer: o**(1612\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/6)\/((-16)\/10752*40).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3355)\/475 - -7 - 0. Let r = 309\/380 + x. Which is the closest to 4? (a) -1\/2 (b) r (c) -9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 10:38 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/8)\/d**(2\/13))**(17\/3) assuming d is positive.\nAnswer: d**(391\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -43?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 0.1063, 9, 1, 2.3?\nAnswer: 0.1063","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 54 + 27*t + 22 + 15.\nAnswer: 27*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 4:57 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12547217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/70)\/((-318)\/(-212))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14713119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 11, -3, 1007 in decreasing order.\nAnswer: 1007, 11, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 49, 163, 359, 643, 1021?\n\"Answer: w**3 + 35*w**2 + 2*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2499994 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**4\/2 + 6*i**3 + 249*i**2\/2 + 225*i + 108 = 0.\nAnswer: -6, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 1:57 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 10*f + 68. Determine y(-9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence poq when three letters picked without replacement from {p: 7, q: 4, x: 3, j: 3, o: 1}.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/1664 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6875023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(-36975)*25)\/(13\/(-39)).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/7, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 440.557302 to the nearest integer.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15653166?\nAnswer: 2, 3, 2608861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + 7. Let z be u(2). Suppose -r = -2*x - 443, z*x = -2*r + 538 + 355. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*f + 182. Let y(u) = u**3 + 26*u**2 - 27*u + 23. Suppose 5*t - 11*t = 162. What is the remainder when f is divided by y(t)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 181, 13, -4, 15 in ascending order.\nAnswer: -5, -4, 13, 15, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 445112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15491615 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -34 (b) 0.3 (c) 451 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 261 and 23337.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81585\/6174 - (25 + 0)) + (-6)\/28?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12688211*z + 10487146?\nAnswer: -12688211","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 2*d + 9*d**3 + 4*d.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - 11*g + 5*g - 10*g in the form y + x*g and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**27)\/b)\/(b\/(b\/(b\/b**(1\/35)*b*b)*b)) assuming b is positive.\nAnswer: b**(-1014\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 - 7 = 0. Suppose -5*k - 18 = -4*y, 2*k + 20 = -w*k + 5*y. Let b be ((-1)\/k)\/(15\/30). Solve -b = -2*m + m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8047443 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 7*n - 1. Calculate g(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3240?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3219192*j**2*k**3 + 2*j**2*k - 4*j*k**3 + j*k + 27764*j + k**3 + 9 wrt j.\nAnswer: -6438384*k**3 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -16\/9, 0, 1228, -3, -0.08, -2\/27?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 387 - 386.6. Sort 2\/13, -9, -0.4, g in decreasing order.\nAnswer: g, 2\/13, -0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 5*x**3 - 3*x**2\/2 + 3*x - 2. Let y be h(-3). Suppose 0 = 4*j + z - y, 2*z - 3*z = -3. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 10*g**2 - 7*g + 7. Suppose 16*v = 14*v + 2. Let u(r) = -8*r + 2. Let c be u(v). Is f(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = t - 33, -2*t + 78 = 45*b - 40*b. Suppose 4*m - 40 = -4*g, -3*m - g + 31 = 1. Let w = m - -18. Do t and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(5\/6))\/(v\/(v*v**(-2\/7)*v)*v)*(v*v**(-7))\/(v**(1\/9)*v))**(-30))**(5\/13) assuming v is positive.\nAnswer: v**(22775\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(15\/(-10)))\/140)\/(15\/(300\/5))\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.349652 days in microseconds?\nAnswer: 462209932800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42534633.\nAnswer: 3, 3329, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -216\/179 (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 850.637ml?\nAnswer: 0.850637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1120*v + 83225 - 111225 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - 27 + c + 14 to the form i + r*c and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 7*y**2 + 67*y - 290. Let a be m(-15). What is the highest common factor of a and 5110?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190 and 981730.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 10:17 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-15)\/(-50))\/((-7)\/5)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*g + g + 48*g in the form q*g + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*a - 40 - 80 + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6) - (-28)\/6. Suppose 3*u + 4*n - 4 = 2*n, n + 7 = 3*u. Find the second derivative of 0*r**2 - 3*r + g*r**5 - u*r**5 + 0*r**2 wrt r.\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/8)\/v**(-2\/11))\/((v*v*v*v**(2\/11))\/(v**(2\/3)*v)))\/(v\/((v*v**(4\/7))\/v)*v*v*v**(-5)*v**0\/(v\/(v*v*v**(1\/3))*v)) assuming v is positive.\nAnswer: v**(173\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1065 and 14612865?\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1245 and 417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 49*o + 1. Let n be v(-1). Let x = n + 75. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-117)\/39)\/(((-3)\/(-2))\/(-3)). Solve 0 = -v*y + 10*y + 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261394 to the power of 1\/2, to the nearest integer?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 66433 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4911891.\nAnswer: 3, 661, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8010 (base 14) in base 8?\nAnswer: 52716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10334 equal to 10719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 3*d**2 - 2*d. Let k(m) = 2*m**3 - 4*m**2 + 2*m. Give 6*k(h) + 7*p(h).\nAnswer: 5*h**3 - 3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1\/5 (c) 0.2189 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74 - -71. What is the remainder when k is divided by 127?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1593772812?\nAnswer: 2, 3, 43, 1029569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 695, 2791, 6283, 11171, 17455, 25135, 34211?\nAnswer: 44683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + d = 2, 3*f + 0*f = -6*f - 5*d + 38 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17204 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 23 = -2*a - 45, -a - 4*u = 21 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 6:41 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-5)*r*r**(-1\/4)\/r*(r*r**1*r)\/(r**4\/r*r*r) assuming r is positive.\nAnswer: r**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/195 + (-16215)\/585 + 29?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -1, 856, 4, -14 in decreasing order.\nAnswer: 856, 4, 3, 0, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 + h**4 - 2*h**2 + (2*h + 2*h**3 - 2*h)*(1 - 1 + 2*h) + 2*h**4 - 2*h**4 + h**4 + (1361 - 43*h - 1361)*(h**3 + 3 - 3) + h - h + h**4.\nAnswer: -36*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13037018 to the power of 1\/3, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 11*h + 20. Let t(a) = -5*a - 10. Let q(k) = -13*t(k) - 6*v(k). Let d be q(-2). What is the greatest common factor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - ((60 - 259) + 115)\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 + 268 = 4*u. Suppose -21*i = 3*r - 17*i - 182, 4*i - u = -2*r. Calculate the greatest common factor of 432 and r.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.527936014 + -5551.\nAnswer: -5573.527936014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02410135434 to 4 dps.\nAnswer: -0.0241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 h when four letters picked without replacement from {i: 5, h: 14}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 909 and 2139887.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 563*n - 421*n + 193*n - 38*n - 265*n as x*n + g and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 4. Let w(b) = 2*b - 9. Let y(k) = 7*v(k) - 3*w(k). Let r(z) = 2*z + 3. Let c(s) = -s + 4. Let d(x) = -2*c(x) + r(x). Give -d(q) + 6*y(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*m + 362126*w - 362127*w, 0 = m + 7*w + 33 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-7)\/j*j)\/j**(-3))\/(j\/(j\/j**(-5))*j**(2\/5)))**(-5\/9))**(-1\/11) assuming j is positive.\nAnswer: j**(1\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36631499015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/64 + (-6)\/8. Suppose -t - 10 = -5*r + 48, m = -3*t - 9. Calculate the lowest common multiple of r and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3832625.066 to the nearest 100000.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 3*z + 38, 5*z + 0*z + 3*z - 946 = -0*z + 4*z - 74*j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, a: 6, q: 10}. Give prob of sequence qaq.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 156 - 87. Let j be (-7 - 3\/3)*(1725\/10)\/(-15). What is the greatest common divisor of b and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13598 - 5*v**3 - 99*v**2 + v + 13696 - 6*v**3 wrt v.\nAnswer: -66*v - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(k + 0*k - 6*k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3713)\/517 - (-36)\/198.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*h + 262 - 1945 = 0, 5*r = 4*h + 2850. Calculate the remainder when r is divided by 191.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*i - 953461, 28*i = 4*h + 24*i - 1271292. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - ((-9)\/(-8))\/(-3). Let x = 1.11 - 4.11. Which is the nearest to -2? (a) x (b) 1\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -8*k + 2*h - 78, -k - 3*h + 83 = 0. Solve -k = -15*a + 32*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.784272 weeks to days.\nAnswer: 12.489904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q. Let x be 20\/6 + (-27)\/81. Sort 1, q, x.\nAnswer: q, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*l**5 + 30*l**4 - 45*l**3 - 270*l**2 - 300*l - 72.\nAnswer: 3*(l - 3)*(l + 2)**3*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1428 + 2051. Let f = -264 + y. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219 = 64*x + 91 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90\/13 - -707\/104. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4133 != -4133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 525\/1222 - 6\/13. Let c = -479\/282 - z. What is the common denominator of c and 1 - (0 + 49)*2\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2336 + 9*n - 2336)*(-55 - 2*n**2 + 55 - n).\nAnswer: -18*n**3 - 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2 - 1650*b - 3308 = 0. Calculate b.\nAnswer: -2, 827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 32*a**3\/3 + 846*a**2 + 1660*a - 5882. Factor t(d).\nAnswer: 4*(d + 1)*(8*d + 415)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.3 times 67?\nAnswer: -422.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9288 is divided by 4570?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2187)\/972)\/((-1395)\/(-80))?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 125 = -20. Let w(l) = -2*l + 2. Let m be w(-1). Suppose b + 3*b = -2*a + 26, a = m*b - 11. Calculate the highest common divisor of a and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w + 5 = 0. Let t be 3\/(-6)*((-3)\/3 + 489). Let u = t + 284. What is the greatest common divisor of u and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59317034 divided by 29658517.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -390*f**4*v**2 + 8480*f*v**2 + 8116533*v**2 wrt f?\nAnswer: -1560*f**3*v**2 + 8480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -126 + 69. Let u = z - -56. Sort 4, u, -7, 3.\nAnswer: -7, u, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 + 141 + 11*z**2 + 123 - 263 + 3*z**3 + z to the form f + g*z**2 + y*z + l*z**4 + p*z**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5753, 10403, 13945, 16373, 17681, 17863, 16913?\n\"Answer: -r**3 - 548*r**2 + 6301*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*n = -2*u - 20, 3*u = 5*n - 10. Suppose 640 = 5*c + s - 333, 5*c + u*s - 965 = 0. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229372625 to the power of 1\/3, to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 8*j - 12 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 61.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1735.9 + 1736. Let t = -3.07 + 0.07. Let n = t - -1.4. Does n = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -32*l**3 + 8*l**2 + 8*l. Let u(m) = 11*m**3 - 3*m**2 - 3*m. Determine -3*s(j) - 8*u(j).\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -91. Suppose 2*k + 2*m + t = -k, 0 = 3*k - 2*m + 85. What are the prime factors of (-3)\/k*-3*-219?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 10 + 47 - 11 + 11*j.\nAnswer: 11*j + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, y: 3, v: 8}. What is prob of picking 2 t and 1 y?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u + 36. Let a(k) = 2*k**2 - 37*k + 3. Let t be a(18). Let i be f(t). Let g = 121 + i. List the prime factors of g.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 933, 902, 941, 1080, 1349?\nAnswer: 1778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 26. Let i = g - 12. Sort 1, i, 8 in increasing order.\nAnswer: 1, i, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4*c + 4 - c + c - 2*c + 2*c + 0 + 0 + (-2*c + 6*c - 2*c)*(2 + 0 + 0) - 3*c + 3*c + c + 2*c - c + 0*c)*(-c + 4*c - c).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 1487066.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 659793737 to the nearest integer?\nAnswer: 25686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 657*a - 98623. Calculate g(150).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*s + 1814876 = 5836498. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16074.8 rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 262\/105 - 12\/5. Let g = 2.01 - 0.01. Which is the nearest to g? (a) z (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -447 - 17*o**3 + 447 + (-o**2 + 2*o**2 + o**2)*(-289 + 6*o + 289) + o**3 + 3*o**3 - 5*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**4\/4 + 2*a**3 + 3*a**2 + a + 13. Let l be z(-3). Suppose -4*k - l + 26 = 0. Solve x + 8 = 2*s, 3*x + 8*s - 26 = k*s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l + 43*l = 1025. Suppose -5*q = -l - 0. Let h = q - 38. Solve -5*f + h*s = 2*s - 22, s - 2 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 432804470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**2*g**(2\/19))**(-34))**(-18) assuming g is positive.\nAnswer: g**(47736\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 361, 3, -82 in decreasing order.\nAnswer: 361, 3, 1, -1, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6\/59 - -201\/236. Which is greater: d or -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 92931*m**3 + 3*m + 357327?\nAnswer: 278793*m**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, f: 1, x: 5, h: 3}. What is prob of sequence xhfh?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14391324 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p - 3. Let l be d(1). Let s be -4 + l*(-15)\/25. Do -6\/5 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*j**2 + 28 - 28)*(-4 + 1 + 7)*(2 - 6 + 2)*(j + 2*j - 5*j).\nAnswer: -592*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1449.04 - -1449. Which is the third biggest value? (a) -5 (b) i (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176468 is divided by 258?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5a30 + 27?\nAnswer: -5a07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251385*w**2 - 125698*w**2 - 125689*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -10*a. Let b(h) = -h**3 - 8*h**2 - 8*h - 3. Let r be b(-7). Suppose 0 = 2*y - 5*u, -r*u + 0*u = -y + 3. What is the tens digit of i(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/q**(3\/5))\/q)**(6\/13))**27 assuming q is positive.\nAnswer: q**(324\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 5*q - 2*q + (5*q + 2*q - 4*q)*(6 + 1 - 2) + (0*q - q - q)*(-2 + 1 - 2) + 5*q + 18*q - 37*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 + k - 2. Let x = 421 + -420. Let s(u) = -52*u**2 + 12*u - 24. Let h(a) = x*s(a) - 12*d(a). Let m(f) = -3*f. Calculate m(h(q)).\nAnswer: 84*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 13. Is 5\/4 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f + 2. Suppose -x - 7 = -9. Let w be (33\/(-22))\/((-1)\/x). Let g be j(w). Solve 4*m = -m + g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2311 (base 5) to base 2.\nAnswer: 101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 10) to base 8.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33600 and 300832.\nAnswer: 45124800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8907 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -17 (b) -0.2 (c) -0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8\/1387 + -134635\/16644. What is the common denominator of -49\/6 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 773207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.156 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**5\/120 - c**4\/6 - 5*c**3\/3 - 7*c. Let d(n) be the second derivative of r(n). Determine d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*z. Suppose z = -0*u - 2*u + 8. Solve 0 = -2*r - 0*r - u for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12959 is divided by 381.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*q + 9009 = 5*t - 306*q, 4*t - 2*q = 7196. What are the prime factors of t?\nAnswer: 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + 15. Let n = 44 - 50. Let h be n\/c - (-14)\/36. Is -1 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d + 289796 = -522607. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98 - -109. Let p(q) = 74*q - 35*q - 35*q + b. Let f(i) = 2*i. What is p(f(g))?\nAnswer: 8*g + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1037586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -221111101130?\nAnswer: 221111101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h - 2*n = 16*h + 1, 3*n - 36 = -5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 13) to base 10\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 2*n - 649, 260 = 59*o - 57*o + n. Suppose 15*m - o - 591 = 0. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/3 + 5794*b - 190960\/3 = 0. What is b?\nAnswer: 11, 8680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-14)\/4*97\/(35987\/2862)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 269 = 3*r + 2*d, 2*d = -r + 90. Suppose 2*o + r = 9*o. Solve -3*t = -3 + o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -546*x**2 - x**4 + 57 - 72*x**3 - 7 + 71*x**3 - 47 - x to j*x + g*x**3 + w*x**4 + t + z*x**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 4:04 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2459871 (base 10) in base 13?\nAnswer: -68185b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 2*q**2 - 2*q + 3*q**4 - 2 - 2*q**4 - 2*q**3 + q**2 to v*q + g*q**4 + b + h*q**2 + n*q**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -647 - 19784211744.\nAnswer: -19784212391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*h + 338, -2*h - 3*u + 111 = -146. Let t(w) = -40*w - 22. Calculate the remainder when h is divided by t(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -50*w - 45 - 2*w**2 + 0*w**2 - 22 + 116 - 51. Determine t(-25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 590\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37*x**2 - 7*x + 15*x - 2 - 3*x**3 - 10*x)*(-1 - 2 + 21) to f*x**2 + s*x**3 + d + q*x and give f.\nAnswer: -666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*((f*f**(-2\/7))\/f)\/f)**(-19\/5)*f**11*f**(-2\/17)\/f assuming f is positive.\nAnswer: f**(6526\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/17 (b) -0.014 (c) 2\/9 (d) 4 (e) 2 (f) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 105\/(-72) + (-1)\/(-3). Let v = 61\/168 - -1\/84. Let m be -11 + 6 + -8 + 12. What is the closest to 1 in m, x, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r + 1199*r**2 + r - 1191*r**2 + 0*r to q*r + n*r**2 + o and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*d + 15*d - 43*d + 17*d - 12 to q*d + a and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81628793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -59, -159, -439, -989, -1899, -3259, -5159?\n\"Answer: -15*f**3 + 5*f - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2 - 2*l + 3*l - l - l + 1 - 1 - 2*l - 2*l - 2*l + 5*l + (-2 - 4 + 4)*(5*l - 2*l - 2*l) - 4*l + l + 0*l)*(-2 + 5 - 4)*(-1 + 7 + 3).\nAnswer: 63*l - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c + 73. What is y(8)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2863*n - 187*n - 6167*n - 1 - 1447*n.\nAnswer: -10664*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*v - 95 = 5*h, 351*v - 348*v - 38 = 2*h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*i - 5*i**2 - 60*i**2 + 98*i to t + x*i**2 + f*i and give x.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 8. Suppose 5*p = 3*p - 8. Let l be p\/(16\/(-12)) - 3. Calculate g(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 141, -163, -457, -741?\n\"Answer: 5*w**2 - 319*w + 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 697*f - 30487. Calculate h(44).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 4. Let t be l(0). Let p be ((-4)\/(-26))\/((-64)\/(-104)) - (-117)\/(-52). Which is the second biggest value? (a) t (b) p (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from uvaauvuvavv?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.3 + 5.8. What is the fourth smallest value in 5, -4, n, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.94 - -28. Let c = k - -2.81. Let a = 0.13 + c. What is the nearest to -2\/9 in 0.4, 1, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4001 by 3.\nAnswer: -4001\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16*-1.893.\nAnswer: -0.30288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2920848 to the power of 1\/2, to the nearest integer?\nAnswer: 1709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*s - 1 - 3 = 0, 3*z - 14 = 4*s. Suppose -i - i - 3*q - 41 = 0, -z*i + q = 45. Let j = -23 - i. Sort -2, 16, j.\nAnswer: -2, j, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 less than or equal to -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 t when three letters picked without replacement from {o: 2, p: 1, j: 2, i: 3, t: 6}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2524, 2429, 2370, 2365, 2432, 2589, 2854, 3245?\n\"Answer: 3*l**3 - 116*l + 2637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -25*h - 42. Let z(i) = -1. Let v(p) = g(p) - z(p). Suppose 0*o + o - 2*w + 26 = 0, -108 = 5*o + w. Is v(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150790171.2 - 17?\nAnswer: -150790188.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576629505?\nAnswer: 3, 5, 12813989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124*c**3 - 2*c**2 + 37*c - 32*c + 30*c - 2*c**4 - 36*c + 98*c**3 to l*c**2 + k*c**3 + w + v*c**4 + p*c and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 25, 9, 103 in decreasing order.\nAnswer: 103, 25, 9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 1217*u**7\/21 - 1255*u**3\/6 + 2034*u. What is the second derivative of k(d) wrt d?\nAnswer: 48680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 21351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158961795.\nAnswer: 3, 5, 10597453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 2\/2501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 151789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/26, -0.33, 0.6, 4?\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((510\/(-20))\/51)\/((-1)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(187) + sqrt(187) + sqrt(187)*-2 + sqrt(187)) + -6*(sqrt(187) - (-2*sqrt(187) - sqrt(187))))*-6)\/((sqrt(6336) - sqrt(6336)*-2)*-4).\nAnswer: -19*sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 51f - 11?\nAnswer: 50e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 558 + -299. Let l(c) = 1641*c - 4663. Let q be l(3). Are v and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -134864*p**3 + 269729*p**3 - p - 2*p**2 - 5 - 134908*p**3 in the form d + n*p**2 + y*p**3 + i*p and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 835340346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/10)\/((-2 - 0) + 1). Which is the closest to p? (a) -0.4 (b) 5 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnnrennnneeenn. What is prob of picking 2 n and 2 e?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49350.\nAnswer: 2, 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 5\/6, -4, 0, 4\/5 in increasing order.\nAnswer: -4, 0, 4\/5, 5\/6, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6216576 and 384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*i + 10 = 0, -6*o = -5*o - 2*i + 1. What is the nearest to o in -0.3, -40\/3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -9501?\nAnswer: 1900.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.73 + -0.8. Let k = -0.13 + n. Suppose -4*r + 4 + 16 = 0, 4*g = -5*r + 41. Which is the third smallest value? (a) 1 (b) g (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -14 - -20 - 19\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41297 - -70820. Let v be (47 + 3)\/(1 - n\/29520). Round v to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -567326.042 to the nearest 1000.\nAnswer: -567000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 9*v**2 - 9*v + 11. Let m be x(8). Suppose 4*y - 8 = 3*y - 2*c, 0 = 3*y - 5*c + 20. Put m, -2, y, 1 in decreasing order.\nAnswer: m, 1, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3089974*j**4 + 8342208.\nAnswer: -12359896*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 3. Let o be m(4). Let c = 46\/9 - 349\/63. Calculate the common denominator of c and ((-11)\/18)\/(o\/33).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 54?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**4\/4 + 11*t - 6. Let b(r) be the first derivative of v(r). Let p(z) = 8*z. What is b(p(a))?\nAnswer: -192*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703500739.\nAnswer: 61, 11532799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24713 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -199303660.110798951 - -199303660. Let h = 0.1108 + m. What is h rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) -2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -501, -1106, -1953, -3042?\nAnswer: -4373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 181809574 a multiple of 2938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 717*q - 361*q - 363*q + 883757. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447287 is divided by 1669?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 13.6. Let n = j - 0.6. Let s = 162\/35 + -31\/7. Which is the closest to n? (a) -0.4 (b) s (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-17 - -2) - (21 + 5).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5704 divided by -1426\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 22 + 19. Let x = -38 - k. Suppose -x*l + 0*l = -171. List the prime factors of l.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 6*d**2 + 13*d + 10. Calculate c(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 810.8433ng?\nAnswer: 0.0000000008108433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) 0 (b) 3.1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 50 - 16) + (-6201)\/(-143)\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -125, 79 in increasing order.\nAnswer: -125, -3, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -3, 7805 in ascending order.\nAnswer: -3, 1, 5, 7805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-3840)\/(-44))\/8 - 11)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-6) + (36\/(-27) - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**7\/6 + 11*m**5\/20 - 4477*m**4\/12 + 800*m + 3. Find the third derivative of v(j) wrt j.\nAnswer: -420*j**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 0*k + k + 0*k. Let y be v(6). Suppose -y = 2*x - 4*x + 2*q, -x - 4*q - 7 = 0. Do x and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 7042 - 7058 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**5 + 16*v**4 - 48*v**3 + 64*v**2 - 32*v.\nAnswer: -2*v*(v - 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23590 and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 5 - 5)*(-3 - 1 + 1) + (2 - 2 - 3)*(-2*n + 4*n - 8*n).\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/3 + 1 + 4. Solve 5*v + f = -m - 4, v = -5*f - 21 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 519680 (base 11) in base 6?\nAnswer: 25503013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75689874 and 471588?\nAnswer: 151379748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 33*s - 227. What is the remainder when 921 is divided by t(10)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 1. Let f = -2 + 5. Suppose -1894*v - 864 = 1030. Let z(g) = 7*g + 3. Give f*l(q) + v*z(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 4*z + k + 20 = 0, 40 = 5*z - 5*k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 198\/7?\nAnswer: 198\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-40)\/(-12))\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24\/5*h**2 + 4\/5*h + 0 + 16\/5*h**3 - 24\/5*h**4 - 4*h**5 = 0 for h.\nAnswer: -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*l - g + 39, l + g = -1788439 + 1788436 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 20 - 5 - 2*x - 10 + 50 + 3.\nAnswer: -2*x + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -1 - 5*o + 6*o + 2*o**3 + o**3. Let x be z(1). Solve 2*l + v = -4, -4 = 4*v - x*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.4 times 1807516?\nAnswer: 49525938.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 3*g**2 - 2*g + 3. Let h be i(2). Suppose 3*x = 4*z - 1220, -26*z - 5*x = -21*z - 1525. Suppose z = 2*f + h*f. Does 23 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 102, -2, 3, 23 in ascending order.\nAnswer: -2, 3, 5, 23, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 671 + 10ba1?\nAnswer: 11652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 - -0.773403.\nAnswer: -0.626597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*f - 382*f - w = 11, f + 47*w + 45 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238809 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, j: 1, q: 1, k: 2, v: 2, w: 1}. Give prob of picking 1 k and 1 q.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/d**(-3))\/d*d*d)\/d*d*d**3*d)**(1\/51)*(d**2\/(((d*d*d\/((d\/(d\/(d\/(d\/d**(-2\/3))*d*d)))\/d))\/d)\/d))**(1\/27) assuming d is positive.\nAnswer: d**(338\/1377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/21 - 32\/30)*-2. Put 0, 20, f, 1, -2 in decreasing order.\nAnswer: 20, 1, f, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3403*i - 45. Let k(q) = 3469358*q - 45873. Calculate 5*k(b) - 5097*o(b).\nAnswer: 1699*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 11. Suppose -56 = -f*o + 11*o. Solve 3*w - 6 = 3*u, -2*w = -3*w + 4*u + o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/25 in -1\/3, -3, 211?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23103023 - -113?\nAnswer: -23102310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13580 divided by -742?\nAnswer: -970\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200733426.\nAnswer: 2, 3, 113, 98689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29.704 - -29.904. What is the nearest to x in 2\/11, -1, 2\/5, 8.9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -887 - -886.228. Let y = -0.7719731 - r. Round y to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 14) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by 1622849.\nAnswer: 39\/1622849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35250?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 242865.003 rounded to the nearest one thousand?\nAnswer: 243000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from usutuvuhtsuusktkht. What is prob of picking 1 v and 2 h?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 46*c + 11. Let m(l) = -l. Let u(y) = -g(y) + 6*m(y). What are the prime factors of u(-3)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 m when three letters picked without replacement from amtaamamammlmaa?\nAnswer: 18\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.022\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2073 divided by 29\nAnswer: -2073\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32084911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 369 and 2378?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9960893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -56*k. Let q(f) = 5*f. Let o(w) = -32*q(w) - 3*s(w). Let x(j) = -j - 1. Let c(t) = -2*t - 1. Let b(p) = c(p) - x(p). Calculate o(b(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -3697922\nAnswer: -3697922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1535 = 4*f + 491. Suppose k = -2*k + f. Suppose -k = -2*m - 29. What are the prime factors of m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9*n + 1. Let k(a) = 19*a - 2251. What is 2*j(z) - k(z)?\nAnswer: -z + 2253","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4*p + 82, 12 = -3*s - 4*p - 161. Let v = 55 + s. Solve 4*g = -3*z + v, 3*z - 5*g + 4*g + 1 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - k. Suppose w + k*w = -6. Let z = 11 + w. What is the lowest common multiple of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 82 + 497 = -5*t, 0 = -2*t + 6. Let f = c + 159. Is f a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22.998 + 23. Round i to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 18*i - 22. Calculate d(12).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-51)\/(-12)*-2)\/(7\/56). Let l = f + 77. Suppose -4*n + 29 = 3*q, 5*n = 3*q + 14 + 2. Solve -t - i - 21 = -n*i, 0 = -5*t - 4*i - l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/9 + 20*b**4\/3 + 388*b**3\/9 + 824*b**2\/9 + 238*b\/3 + 220\/9 = 0. Calculate b.\nAnswer: -22, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpaphpphakhkahhhhh. Give prob of sequence kp.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 30*i**3 - 8*i**2 - 16*i + 26. Let r(a) = 10*a**3 - 3*a**2 - 6*a + 10. Determine 3*h(t) - 8*r(t).\nAnswer: 10*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2545659309 to the nearest integer?\nAnswer: 50455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1773.\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -1 - (-106 - -9 - -11 - -16 - -9).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 4.7. Let v = 943 + -938. Let s = 3.13 + -0.13. What is the fourth biggest value in -3, y, v, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v + 48. Determine c(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {c: 3, u: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29269379 take away -3263?\nAnswer: 29272642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*v**3 + 39*v**3 - 40*v**3.\nAnswer: -52*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106542.9*-5.\nAnswer: -532714.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 11) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -6. What is the second derivative of -3*j**4 + m*j**2 - 8*j**2 - 6*j wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7045 in 0.4, -2\/3, 0, -2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*h - 41*h - 71*h + 9*h.\nAnswer: -161*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 226, 325, 422?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2*f + 43 = 94 - 49, -30*w - 59 = -f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/21 + 664*v**3\/21 - 5568*v**2\/7 + 135680*v\/21 - 364544\/21.\nAnswer: 2*(v - 8)**3*(v + 356)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226043, -226044, -226045, -226046, -226047?\nAnswer: -226048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from {t: 4, w: 6}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 + -6 + 5\/(10\/404).\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 6*j - 16. Let g be 3\/12*j\/(-111). Let p = g + -35\/111. Which is smaller: p or -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 4)*((-2 + 0 + 3)*(0*u - u - 2*u) - 1 - 2*u + 1 + 11*u - 49*u - 5*u + 3 - 3 - u).\nAnswer: 147*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1640.38721 rounded to the nearest ten?\nAnswer: -1640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1391164?\nAnswer: 2, 293, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/87)*r**(1\/20)*r)**(-23\/6) assuming r is positive.\nAnswer: r**(-41101\/10440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 10:29 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 1:59 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -664 divided by -2\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56651 - 56651.0200088. Let s = 0.02 + b. What is s rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/731 + 2183\/3655. Suppose 15 = -6*k + k. Sort k, i, -4 in descending order.\nAnswer: i, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 20*u + 23. Calculate h(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1212 - 173. What is the remainder when f is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2 + 5 = 0. Suppose 0 = 9*a + 90 - 153. Solve -2*f + a = -u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121012232103 (base 4) to base 15.\nAnswer: -89ee79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/29 and 21\/59321.\nAnswer: 1720309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011101001101 - -10010000000?\nAnswer: 1101111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 57*h - 346. Let g be c(7). Is g > 168\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(6\/9)*(-2)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.41 + -0.09. Which is the closest to -1? (a) 1 (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1962247449.\nAnswer: 3, 947, 690689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**3 - 20 - 13 + 14*c**3 - 18 + 51.\nAnswer: 22*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -664 + 2669\/4. What is the common denominator of 131\/6 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*p - p - 1206, -5*p = 2*m - 1221. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 11*a**4 + a**3\/3 - 5*a**2\/2 + 123. Find the third derivative of y(z) wrt z.\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 35 = -3*i - 0*v, -4*i = -3*v + 45. Let p be -1*(i\/(-8) + -2). What is the nearest to p in 4, 0.4, -1\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*x + 224*x - 36509 = -4331. Put -5, -3\/4, x, 5, 4 in ascending order.\nAnswer: -5, -3\/4, 4, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2105144034?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -7*x + 10. Let q(u) = 5*u**2. Give s(q(f)).\nAnswer: -35*f**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1962327 divided by -654109?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 3:39 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 455907523?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 6 - 25 = 3*l, -2*m - 5*l - 20 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31426644*t**5 + 16*t**2 + 45557*t - 4 wrt t?\nAnswer: 1885598640*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(96)*-2)\/(-5*sqrt(27) + sqrt(21)\/(1*sqrt(7))).\nAnswer: -20*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 697\/2 - 339. Let v = r + -9. Let n be 51\/(-15) + 2\/5. What is the second biggest value in -0.2, v, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(-2*d - 7*d + 12*d) - 24*d - 156 + 156.\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*r**2 + 825 - 3284 + 815 + 820 - 21*r**2 + 824.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 15 = k. Suppose 9 = -3*z, k*v + z = -3*z + 168. Suppose -27*o = -22*o - 65. Calculate the remainder when v is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -13 - (1 + 2 + -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1488)\/168*-6*4\/(-72). Is -5 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 23. Suppose -4*f = -p - 16. What is the lowest common multiple of f and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-10) - 0)*1\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/((-11)\/132*-66)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 149*h**3 - 2*h**2 + 3*h - 1. What is the tens digit of i(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6\/29 + -53\/116. Which is the nearest to -5? (a) 1\/4 (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(2\/5)*a))\/a*a*a**1*a*a)\/(a**(-3\/10)*(a**0*a)\/a) assuming a is positive.\nAnswer: a**(29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107952, 215918, 323882, 431844?\nAnswer: 539804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - y - 133 = 22, -3*y + 143 = -4*z. Let p be 16\/z*-1*10. Let s be ((-22)\/(-8) - 1)*4. Sort s, 2, p in descending order.\nAnswer: s, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 18945542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 4*y**2 + 4*y - 1. Let w be s(-3). Suppose 0 = 3*d + 15 + 3. Is d at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.5 + 59.5. Let c = -36 - m. Let j = -97.9943 - c. What is j rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g + 2*g + 3*g)*(4 + 1 - 4) + 14 + 92*g - 51*g - 43*g as y + p*g and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**3\/g**5*g**(3\/5)\/g**(-12) assuming g is positive.\nAnswer: g**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 12 = 4*k, 5*k = -3*c + 12 + 20. Suppose c*u - 192 = -0*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/10*(-15)\/6. Let k(o) = o**2 - 2. Let s be k(p). Suppose s = r - 3. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**3 - 2*x**2 + 4*x. Let o be v(2). Let w be o\/((-4)\/2 - -4). Solve 4*f + w = -0*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -10, -27, -50?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 882 - 604. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/168 and 825\/1078 - (-1 - (4 + -5)).\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2028)\/(-663)*((-100)\/(-32) - 3) and -48\/187.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 9*f**2 - 21*f. Let o(w) = -57*w**2 + 32*w**2 - 5*w + 27*w**2. Calculate -2*m(r) + 9*o(r).\nAnswer: 2*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 441377231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2424*u - z + 15 = -2420*u, -29*u + 8*u + 175 = 18*u + 4*z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 712 minutes after 4:20 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -9*l + 61. Let t be b(6). Let d = 15 - t. Let s(z) = -z + 13. Calculate s(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 6:13 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) + -1 - sqrt(17))*-2 - sqrt(17)) + sqrt(425) + 3)**2.\nAnswer: 40*sqrt(17) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 72*t + 60. Determine q(-4).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s**2. Let u(o) be the third derivative of o**5\/10 - 2*o**2. Let a(b) = 5*j(b) + 4*u(b). Let m(n) = -3*n. What is a(m(d))?\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -15*b**2 - 199*b - 1839. Calculate a(-9).\nAnswer: -1263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.8 + 3. Let y = 0.018837 - 1.118837. What is the nearest to 2\/7 in -0.2, y, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o. Let y(k) = 3*k - 1. Let i be y(2). Let v(r) = -2 - i*r + r - r. Determine -v(t) - 3*z(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zb when two letters picked without replacement from eeeeeeebbbbeebbezbe.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*o + 160*o = 2*r + 29, 5*r - 85 = -5*o. Solve 68 = o*x + 50 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 - 589336846.\nAnswer: -589336796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*b**4 + 1914*b**2 - 82527?\nAnswer: -52*b**3 + 3828*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 57*h**2 + 5*h + 24. Let n be j(-4). Round n to the nearest ten.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 9*y**3 + 8*y**2 + 27*y + 3. Give j(-2).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 14. Let b = w - 3. Solve 2 + b = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 102.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*a**2*i + 1646*a**2 - 27*a*i + 16*a - 67949*i + 568 wrt a?\nAnswer: 8*a*i + 3292*a - 27*i + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2 + 11 = -3*f, 2*o - 5*f = 15. Suppose o = -8*g + 2*g - 6. Let s = -3 + 5. Which is the biggest value? (a) -4 (b) s (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 0 + 0*x**3 - 1\/60*x**5 - 2*x**2 + 0*x**4 + 0*x. Let o(z) be the third derivative of -z**5\/20 + z**2. Calculate o(f(g)).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*z = -85*z. Solve 4*s - v + 20 = z, -3*s - 20 = -4*v + 2*v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + -1*(sqrt(272) - 2*sqrt(272)))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 124 = 4*f, -57*u + 58*u - 43 = 5*f. Calculate the highest common divisor of u and 2366.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 4*i**3 + 5*i**4 + 7\/10*i**6 - 27*i + 27\/10*i**5 + 1\/14*i**7 + 0 + 0*i**2. Suppose t(b) = 0. What is b?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/7))\/k)**(-8\/11)\/(k**(-1\/7)*k**(2\/15)) assuming k is positive.\nAnswer: k**(-229\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -585 (base 11) to base 12.\nAnswer: -4a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 491303\/2 - 238230. Is 7421 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in 0.9, 3, -1\/6, -16\/3, -3\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*w + 2*w - 15*w**2 + 14*w - 9*w**2 - 6*w in the form o + s*w**2 + z*w and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(9072).\nAnswer: 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 2. Let a(z) = -2*z - 4. Let m(h) = -h**2 - 8*h + 4. Let d be m(0). Suppose d*k = 4*i - 24, 5*i - 12 = 3*k + 6. Determine k*a(s) - 11*o(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2485, -2184, -1683, -982, -81?\nAnswer: 1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4\/v)**(-2\/57)\/(v**39)**(-7) assuming v is positive.\nAnswer: v**(5185\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l - 3*l)*(l**4 - 2*l + 2*l) + 3*l**3 - 4*l**5 + l**5 - 6*l**3 + 0*l**5 - 2*l**5 - 20*l**4 + 14*l**4.\nAnswer: -7*l**5 - 6*l**4 - 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-190975)\/(-4)*(-2)\/20. Suppose -5*n = 15, 5*s - 23919 = -2*n - 0*n. Let h = j + s. Calculate the common denominator of -64\/9 and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1)\/((-4)\/((-14)\/7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 296296 = -b, -237038 = -16*o + 12*o + b. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4818 + -10469517\/2173. What is the common denominator of x and -51\/410?\nAnswer: 21730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12633 - 12633 + 9*f**2.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.9 + 1.9. Let o be (-11 - (-7961)\/771) + 4\/6. Which is bigger: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 590*h + 365*h - 1222*h to the form o*h + m and give o.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*m + 580*m + 1189*m - 384704 = -4504*m for m.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 168 = 5*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 315 + 2746. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -6\/13, -60, 1\/2, 6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q - 1. Let j be v(3). Let g be -17 + j + -1 + -178. Put g, 2, -5 in descending order.\nAnswer: 2, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 421 + -412. Find the second derivative of -15 - 15*q**2 - 27*q**2 + 12 - 51*q + v*q wrt q.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -d - l, 2*d + 0*d + 5*l = -8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 30*s - 199. What is a(10)?\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-10 - -7 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 1 (c) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ststiistctsssststij. What is prob of sequence sc?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 17 + 24)*((0 - 2 + 0)*(-1 + 1 - 2*y) - 3*y + 0*y + 4*y).\nAnswer: 165*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.04 (b) 0.4 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -43*p**6\/40 + p**4\/24 + p**3\/6 + 112*p**2. What is the second derivative of z(d) wrt d?\nAnswer: -774*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/6 + 129\/6. Suppose w = 5*a - 68. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/9 + 5932*n\/9 + 575474\/3.\nAnswer: -2*(n - 3233)*(n + 267)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 61 - 25 = -4*i, 4*p + 26 = -2*i. Let a = -55.8 - -53.8. What is the closest to 2 in i, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5828 = -6*s + 96446, -18 = -2*a. Does 22 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + 4*2\/4. Let q = 111\/7 - 1513\/42. Calculate the common denominator of q and 6*-1 + (-2)\/y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**5\/5 - 57*f**4\/2 + 523*f - 564. What is the derivative of n(t) wrt t?\nAnswer: 4*t**3 - 342*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/7 + (-383535)\/218757?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1979114209.\nAnswer: 1979114209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -18. What is the units digit of 4\/(((-15)\/k)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7218851 or -1?\nAnswer: 2\/7218851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 9*z**2 + 13*z + 12. Let g be r(7). Put 0, g, -5, 1 in ascending order.\nAnswer: -5, 0, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 28. What is the closest to s in -0.3, 2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -234 + 236. Let m(n) = n**3 + 8*n**2 + 6*n + 10. Let l be m(-7). Let b = l + -6. Calculate the least common multiple of o and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11253569, 11253613, 11253687, 11253791, 11253925?\nAnswer: 11254089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3171*l - 1208*l + 3129*l - 634*l.\nAnswer: 4458*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 26. Is -15 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41499 is divided by 214.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 129661570839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -26*o + o**2 - 41 + 98 - 43. Is u(-19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/((3\/12)\/1). Let h = t + 36. Let w = -54 - -78. What is the greatest common divisor of w and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/10 - ((-4)\/(-3))\/((-4)\/6).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206652 = -531*n - 2508*n for n.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20*16\/640)\/((-5)\/(-5*34))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwtwfrrwrrfmt. Give prob of picking 2 f.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 3924?\nAnswer: 19620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 172 - 183 = 4*a, 4*a + 17 = m. What is the smallest value in a, 0.08, 153?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -194252264*m*z**2 + 232*z**2 + 177412*z wrt m.\nAnswer: -194252264*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 0.061, -1, -319, -0.2 in decreasing order.\nAnswer: 3\/8, 0.061, -0.2, -1, -319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 6\/7 (c) -8\/23 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.51492 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*a**2 + 58*a**2 - 11*a**2 - 44*a**2.\nAnswer: -38*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8097\/236 - 45\/236. What is the common denominator of -47\/10353 and a?\nAnswer: 20706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.51083 milligrams to kilograms.\nAnswer: 0.00003651083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 159, 0 in descending order.\nAnswer: 159, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1.5. Let z = 0.3 - 0.3. Let m = -0.1104 + 0.0104. Which is the nearest to m? (a) k (b) 1\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqgfqqdeffqqqt. Give prob of picking 1 g and 2 q.\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3927 + 3921. Let m(r) = 5*r**2 + 5*r. Suppose 5*h - l = -4 + 33, 3*h = 4*l + 31. Let b(d) = 5*d**2 + 6*d. Give h*b(x) + u*m(x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -58285 <= -58284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 10*g + 13. Let s be ((-444)\/(-24) - 18)*1*-10. Determine j(s).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24636 times 6.11?\nAnswer: -150525.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**2*u**2 - 344*r**2*u*z + 8*r**2*u + 257*r*u**2*z + r*u + 2*u*z + z wrt u.\nAnswer: 4*r**2 + 514*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11493*a + 11154*a = 678 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 11:10 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5 + 0*l + l - 4 - 5*l with respect to l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1 - 3 + 0. Let x(q) be the second derivative of -q**3\/6 - 11*q**2\/2 + q. Let a(u) = 11*k(u) - 2*x(u). Let y(h) = -2*h**2. Determine y(a(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 104 = -2*z, 94 = 4*j + 3*z - 6*z. Calculate the greatest common divisor of 225 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3965 - 909. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*r**3 + 148*r**2 + 3378*r?\nAnswer: -72*r + 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w + 2. Let i(x) = x**3 + 16*x**2 + 48*x + 2. Let f be i(-12). Let l(j) = -11 - j**f - 9 + 20. What is o(l(t))?\nAnswer: 4*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2380)\/5355)\/(40\/6 - -2)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -0.5. Let a = 129 - 127. What is the closest to 1 in -1, b, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87292343?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + q. What is the nearest to -2 in q, 2, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2303\/(-658)*(-24)\/28.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-2 - -6) + -39 + 45 + -48?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 2*q + 2. Let g be 6\/(-3) - 6\/(12\/(-4)). Let l be y(g). Suppose 4*v + 3*z = 475, l*z - 117 = -v + 3*z. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**5\/30 + 11*m**4\/4 - 78*m**3 - 9*m**2 - 76. Solve h(z) = 0.\nAnswer: -39, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 75 = -w. Let n be (6 - 6)\/(4 + -3). Suppose -5*b + 3*t = -58, 4*b - 2*t - 50 + 2 = n. Is w bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**3 - 2215*f**2 + 215280*f + 6844500 = 0 for f.\nAnswer: -25, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7232 and 23504?\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/95 - -15\/19. Let w be 1\/(-5)*(-15)\/(-18). Let i(k) = -k**2. Let u be i(-1). Which is the closest to 1? (a) u (b) w (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5\/6, 1\/393, -2\/15, -4?\nAnswer: 1\/393","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 95.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -96 and 1.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.06, 11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 4:18 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185372*a - 149 = 185367*a - 4*u, 0*u + 138 = 9*a + 3*u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-20)\/p*p)**20 assuming p is positive.\nAnswer: p**(-380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 127, 212, 339, 520, 767, 1092?\nAnswer: 1507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(180)*-1 - sqrt(180))\/(sqrt(12)\/(-3*sqrt(300))).\nAnswer: 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -243478 divided by -189?\nAnswer: 243478\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1345 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**3 - 2*o**2 - 90*o**3 + 2*o**2.\nAnswer: -94*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**2 + 78*z - 59*z - 12 - 2*z**2 + 5*z**2 to the form r*z**2 + h*z + t and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (85 - (-5 - -32) - 0)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -0.3, 0.04, 377 in ascending order.\nAnswer: -8, -0.3, 0.04, 377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1444 (base 5) to base 12\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7549 and 5?\nAnswer: 37745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -856082326*b + 634644287?\nAnswer: -856082326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-290)\/(-725) + (-618)\/(-30)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 + -65. Suppose -w*o + 42*o = -2335. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13060\/231 + 10\/77. Let u = -57 + j. Which is the third biggest value? (a) 13 (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 37*v**2 - 10*v - 20. Let l(d) = -13*d**2 + 3*d + 7. Let b(s) = -17*l(s) - 6*o(s). What is b(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**0\/v)\/v)**(-2\/13)\/((v\/v**8*v)\/(v**1\/v)))\/(v*v**(2\/11)*v*v*v**1)**(-31) assuming v is positive.\nAnswer: v**(19440\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126502.\nAnswer: 2, 19, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/45 - 35716\/(-24). Let t = u + -59419\/40. What is the common denominator of 8\/11 and t?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v - 16. Let a be 6\/11*((-153)\/36 + 7). What is the nearest to -0.06 in 5, v, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*d - 58 - 24, -c - 86 = -2*d. Suppose 0 = -5*n + 35 + d. Suppose -12 - 16 = -5*h - 2*z, -2*z = 2*h - n. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 635*x - 644*x + 90 = 0 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -4, -1\/3, 56 in decreasing order.\nAnswer: 56, -2\/7, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**4*r**2 + 26*m**4 + 37*m**3*o*r - 4*m**2*o + 190*m**2*r**2 wrt m?\nAnswer: -48*m*r**2 + 624*m + 222*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -13. Let q = -2 - h. Suppose q*c + 4*i + 7 = 0, 5*c = i - 4*i + 3. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*u = -75, 4*r - 93 - 30 = u. What are the prime factors of (3\/1)\/(9\/r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -9*o**2 - o + 1. What is c(-2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -20*n - 18. Let u be l(14). Let r = 463 + u. Suppose -24 = -3*p + p. What is the remainder when r is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5942*u**3 - 14*u**2 - 2451*u. Let g(s) = 1981*s**3 + 4*s**2 + 817*s. Let j(m) = 14*g(m) + 4*t(m). Find the second derivative of j(p) wrt p.\nAnswer: 23796*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -9*q**2 - 15*q + 26. Let j(f) = -3*f**2 - 5*f + 9. Let x(s) = 6*d(s) - 17*j(s). Let z be x(-4). Does 13 divide 4\/(-2)*z\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 658071037?\nAnswer: 13, 17, 2977697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**2 - 2*c - 2073 + 4154 + 6*c - 2036 to u*c**2 + w*c + n and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5 = -17. Let d be (-164)\/2*(2 - k). Suppose -4*x - n = -d, x + 4*n - 110 = -2*x. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 400 and 441179000.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 64 - 92 = 0. Suppose -17*c = -19*c + q. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32688)\/(-3405))\/((-60)\/(-125)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 371*c**3 - 13*c**2 + 13*c - 123. Let z be i(9). What is z rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1032*0.5\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 447 - 1878. Suppose 5*m + 0*c = 4*c + i, -3*c - 102 = -m. List the prime factors of m.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1618*d - 522 + 522.\nAnswer: 1618*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -8. Let q = 7 - h. Let p(v) = v**2 + 4*v - 1. Calculate p(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -5, -8, 2\/3, 2, -1.\nAnswer: -8, -5, -1, -2\/13, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 2*d - 21 = 0, 4*v - 3*v - 2 = 2*v + d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**(-10\/9)*b)\/b)\/b)**(-23)*b**(5\/4)\/b**(-3) assuming b is positive.\nAnswer: b**(1073\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -53?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 8*t**2 - 9*t - 9. Let z be r(-5). Let n = 80 - z. Let j = n + -80. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 444.5 - 125.57. Let h = 317 - b. What is h rounded to one decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**3\/2 - 62*u + 20. Let h(t) be the first derivative of v(t). Let x(m) = -30*m. What is h(x(w))?\nAnswer: 90*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 89? (a) 0 (b) -1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.49656 to 1 decimal place.\nAnswer: 18.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415541 (base 6) to base 16.\nAnswer: 8395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(375) - (sqrt(735)*-2 + sqrt(735)))\/(sqrt(45)\/(sqrt(18)\/(sqrt(2) + sqrt(72)))))**2*-5.\nAnswer: -2160\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = -3*l + 9379274. Let r = 10857337235\/19679 - l. Let u = -2027027\/590370 - r. Calculate the common denominator of u and -53\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*o + 5 = 0, -o - 12 = -2*a - 6. What is the closest to 0 in a, 1\/5, -4\/3, 38.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-3535711.\nAnswer: 1414284.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + (94 - 58) + 23?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -494*r**2 + 16*r + 4. Let d(p) = 92870*p**2 - 3012*p - 753. What is 4*d(f) + 753*i(f)?\nAnswer: -502*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -384, -3194, -10826, -25692, -50204, -86774, -137814, -205736?\n\"Answer: -402*w**3 + w**2 + w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/(-3))\/5 + 22\/3 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) - (4*-3*sqrt(204) + sqrt(204)))*-3*-2)\/(-5*-6*1*sqrt(12)*2))**2.\nAnswer: 612\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + -4 - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -42.47*-788\nAnswer: 33466.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 154 + -145. What is the highest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570296091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11115427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 - 52. What is the units digit of f*(6 + (-8)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22079*b - 2675 = -22186*b for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017926863 to 4 decimal places.\nAnswer: 0.0179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31222 = 719*f + 25572 - 48275 for f.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**6\/40 + 3*t**5\/20 + 9*t**4\/4 + 12*t**2. Factor c(q).\nAnswer: -3*q*(q - 6)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7425 + 7431. Suppose -5*p + 17 = -13. Calculate the highest common factor of l and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -966116198.\nAnswer: -966116198.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5662 - 2012?\nAnswer: -11004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12443873485 rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -39954, -39519, -39084?\n\"Answer: 435*b - 40389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*i - 1, -2*i + 7 = 4*j - 3*i. Let g(h) = 57*h - 8. Let f(n) = -14*n + 2. Give j*g(z) + 9*f(z).\nAnswer: -12*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-20))\/(144\/60).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/7 + 94408\/3360. Let t = 85\/3 - p. Suppose -2*r - 16 = 4*n + r, 5*r = 0. Which is the closest to -0.2? (a) t (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 18. Determine j(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9395, 18807, 28209, 37595, 46959, 56295, 65597?\nAnswer: 74859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*i*n**2*x - n**2*x + 28*n*x with respect to i.\nAnswer: -41*n**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*k + 484*k + 279*k + 158*k.\nAnswer: 838*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*k - 32*k + 1492*k**2 - 23*k + 88*k in the form w*k + f*k**2 + x and give f.\nAnswer: 1492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -289 - -296. Solve -18 = n - 5*g, -3*g + 14 = -4*n - l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.61785706 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 14 - 2. Let u be (-7)\/((-56)\/40) - (-99)\/(-21). Which is the nearest to u? (a) 5 (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2761*u*x**3 - 8*u*x - u + 514*x**3 - 6*x**2 + 78*x wrt x.\nAnswer: -16566*u + 3084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39697, 158781, 357247, 635095?\nAnswer: 992325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/75 and 24\/575.\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10144319 and 9704.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/5)*(s\/(s**(-1\/5)\/s)*s)\/s)\/(((s*s\/(s**(-6\/11)\/s))\/s*s)\/s*s**(-7)) assuming s is positive.\nAnswer: s**(377\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 26\/4661?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -10. Let p = s + 11.14. Let c = p - 0.139953. What is c rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y**2 - 5*y + 11. Let r = -140 + 133. Let v(t) = -2*t**2 - 2*t + 5. Determine r*v(m) + 3*x(m).\nAnswer: -m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 1\/4*x**4 + 1\/20*x**5 + 2*x**2 + 0 - 1\/3*x**3 + 3*x. Let z(h) = h. Let p(w) = -d(w) - 2*z(w). What is p(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.06 (b) 1 (c) 2 (d) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635619.\nAnswer: 3, 211873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 - -55. Let o = w - 6. Suppose 3*p + 3*r = 20 + o, 8 = -p + 3*r. Calculate the smallest common multiple of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4353, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -27*a**3 + 269*a**2 - 162*a + 1527. What is v(9)?\nAnswer: 2175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -337330 divided by -168665\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = -a + 2*u, 0 = 4*a - 3*a - 4*u - 215. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/16 - 18942\/(-1968)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12652929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74c (base 14) to base 10.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*u**6*v + 5384*u**6 - 6*u**2*v - 1077*u*v wrt u.\nAnswer: -360*u**3*v + 646080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from tttkk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -11\/2 (c) -0.11 (d) -5 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/15, -4, 50 in decreasing order.\nAnswer: 50, 1, 2\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3 = 5, -5*v + 406 = 4*y. What is the tens digit of (6 - v\/8)*(-16)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((16\/14)\/(12\/42))\/2. Suppose -5*j + 5*i - 31 = 4, 0 = -2*j + 3*i - 17. Let m be (32\/j)\/2 - h. Are -6 and m non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*b - 20. Let q = 3 - -1. Factor 3*a**3 - b*a**4 + 3*a**4 - a**3 + 0*a**3 + q*a**2.\nAnswer: -2*a**2*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31513503 (base 6) to base 13.\nAnswer: 2661cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1816\/160 - 3 - 8 - 16\/80\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a factor of 3022146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -1391.9?\nAnswer: -695.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 11*s**2 + 4*s - 4. Suppose 4*n + 30 = 10. Let z(b) = 10*b**2 + 5*b - 5. Let q(l) = n*t(l) + 4*z(l). Find the third derivative of q(g) wrt g.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011101110 + -1010000000100?\nAnswer: -10100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*j - 2545399 + 732843 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -12*g + 8. Let d(h) = -3*h**2. Give d(y(i)).\nAnswer: -432*i**2 + 576*i - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 75285 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -4)\/(-2)*50. Let b = c + 74. What is the remainder when b is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5463*x. Let k(d) = d**2. Determine a(k(v)).\nAnswer: 5463*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 12 + 0)*(-3219*r**5 - 252*r + 105*r + 147*r + 754*r**5).\nAnswer: 32045*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97400 = -42*m - 48459 - 47639 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3035311 + 4?\nAnswer: 3035315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32780*c*j**2 - 15*c*j - 37*j**2 + 6295 wrt c?\nAnswer: -32780*j**2 - 15*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -813*k**2 - 980*k. Let c(n) = -2030*n**2 - 2450*n. Let p(z) = -5*c(z) + 12*g(z). Find the second derivative of p(s) wrt s.\nAnswer: 788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5430588*q - 1702486.\nAnswer: 5430588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**3\/6 - i**2\/2 + 13*i - 15. Let y(w) be the first derivative of n(w). What is y(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329598 is divided by 121.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/3 + 3)*(-12)\/(-378). Which is the second smallest value? (a) -0.1 (b) 0.7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -225600 in 5\/3, -1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 4*t + 5, -t = -3*s + 7*s - 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*z - 48*z = 12. Let b(o) = 39*o - 3. Let h(v) = 77*v - 7. Let t(f) = z*h(f) - 9*b(f). What is the derivative of t(d) wrt d?\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000062167 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2592 and 23888?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9 * 1303.\nAnswer: -2475.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = m + 3. Let z(r) be the second derivative of r**4\/12 + 5*r**3\/6 - r**2 - 44*r. Let h be z(m). Do h and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1772 is divided by 214.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 - 1.99. Let z = 36 - 46. Let h = 255\/7 + -2281\/63. What is the closest to -1 in i, z, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2110706, -4221417, -6332118, -8442803, -10553466, -12664101, -14774702, -16885263?\n\"Answer: r**3 - r**2 - 2110715*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 142722497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.8792195 hours in weeks?\nAnswer: 0.1183286875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 1010000000111110101100?\nAnswer: -1010000000111110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**4 + 30*b**3 + 70*b**2 + 60*b + 16 = 0.\nAnswer: -4, -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, e: 4, x: 2}. Give prob of picking 2 x and 1 m.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*x**3 - 216*a**2*x + 2*a*x**3 + 1036*a*x wrt a?\nAnswer: -4*x**3 - 432*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -459 - -514. What is the highest common factor of 22 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4309 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25061084.\nAnswer: 2, 6265271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/8 at least as big as -14337.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(896)\/sqrt(2).\nAnswer: 3 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*h + 3*n, -4*n - n = -h - 12. Let k(b) = b**2 - 13*b + 38. Let q be k(9). Solve -x = -q - h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, 1.\nAnswer: -9, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57845048?\nAnswer: 2, 53, 227, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/(sqrt(4)*-1))\/((sqrt(88)\/sqrt(2))\/sqrt(11))*1.\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7366?\nAnswer: 2, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -w + 21 - 71, 0 = z + 4*w + 20. Let a(r) = -r**2 - 13*r + 7. Is a(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -329, -496, -663, -830?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/3)\/((-2)\/(-6)). Let m = y + 20. Let i = 4 + -2. Calculate the highest common divisor of i and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (3 - (2 - 35)). What is the tens digit of (-6)\/5*1200\/r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -6 - (0 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 23\/7 (b) -1\/5 (c) -125 (d) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 10:25 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 l when four letters picked without replacement from {t: 2, n: 2, l: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*(-4 + (sqrt(5) - (sqrt(5) + 2 + sqrt(5)))))**2.\nAnswer: 432*sqrt(5) + 1471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 4 - (-118 + 106).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + 0*g + 2*g + (2 - 3 + 0)*(0*g + 0*g + g) - 2*g + 0*g + g - g - 2 + 2 + 0*g + 5*g - 2*g + 3*g - 2*g + 3*g + 4 - 4*g - 4.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 1. Let z(t) = t + 1. Determine -h(a) + z(a).\nAnswer: a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*f - 46*f + 10*f**2 - 5*f**2 to w + l*f**2 + u*f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1, 3\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 249705 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/824 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + h + 366. Does 28 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**6\/8 - i**5\/4 - i**2 - 3*i. Let g(j) be the first derivative of y(j). What is the third derivative of g(z) wrt z?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -590, -680, -770, -860?\n\"Answer: -90*t - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/150*-1)\/(40\/50)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -68.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1065741*k**2*q + 58*k*q - 193199388*q with respect to k.\nAnswer: -2131482*k*q + 58*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n - 6*n + 9*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*f - 17 = 2*i, 3*f + 15 = 3*i. Solve -2*v - i = -0*v + j, -10 = 5*j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -20*d**2 - 16*d + 1. Give s(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1 (c) 3\/7 (d) 1 (e) 362\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*l - t - 3, -l - 5*t = 5. Suppose l = -9*k + 4*k. Suppose -15 = 5*f, k*j = -5*j - 5*f + 5. Solve 4*m + 19 = -3*v, -20 = j*v + 3*m + m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8212\/(-6))\/((-16)\/24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 16. Let l be u(5). Solve -8*j**3 + 6*j**4 - l*j**3 + 2*j**2 + 25*j**3 + 2*j**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4. Let f(b) be the first derivative of n*b - 2 - 1\/11*b**2 - 1\/22*b**4 - 4\/33*b**3. Factor f(c).\nAnswer: -2*c*(c + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368529*b**2 - 185893*b**2 - 182636*b**2 + 2*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 6*k. Solve k = -5*q + 2 - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2837205 and 135.\nAnswer: 8511615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from {w: 7, q: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2 + 1034*l - 3849552 = 0. Calculate l.\nAnswer: -2546, 1512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 - 270215563*s + 2 + 270215563*s.\nAnswer: s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is -151 at most as big as -162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-82778)\/8)\/(2244\/(-9728)). Let r = 507834\/17 - i. Let s = r + 14982. Find the common denominator of -56\/33 and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2055.615 months in centuries?\nAnswer: 1.7130125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 3*u**2 + u + 1. Let o be v(3). Let s be ((-2)\/(-60))\/((-2)\/o). Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**3 + 861*l**2 + 247107*l + 23639903 = 0?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/504 and 113\/156078.\nAnswer: 4370184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/8*1038\/(-346).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 968*z**3 - 2*z**2 - 928*z**3 + 1905*z**3.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -88497 divided by -626?\nAnswer: 88497\/626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + (0 - 0))\/1. Suppose b = -4*q - 47 + 183. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 43466, -53\/23, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(208) + 5*sqrt(208) + sqrt(208) + 0) + -4)*5)**2*6*-4.\nAnswer: -6124800 - 134400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -9*i + 10*i - 9*i. Let o(m) = 5*m**2. What is d(o(x))?\nAnswer: -40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 19 - (-2 - -4). Suppose 0 = -3*j + 12, 2*w - 4*w + n = 3*j. Let f = -0.4 - 0. Sort w, -0.5, f in decreasing order.\nAnswer: w, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19477.154 rounded to the nearest integer?\nAnswer: -19477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1796676891.\nAnswer: 3, 67, 401, 22291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-6*1\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*b + 8. Suppose x + 75 = b*x. Solve -r = -4*j + 2 - 3, -4*r = -5*j - x for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1503843 is divided by 501219.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1058)\/69*3*(118\/20 + -6)\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 5*b**2 - 7*b + 11. Let h be i(6). Solve 5*f + a = -0*a + 3, -4*f - h*a = -15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 2*p. Suppose -p*w + w = 0. Solve 5*d - 4*f - 12 - 14 = w, 4 = -2*d - 2*f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 + 17)*15\/(-3)*(-13)\/65.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32177?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Let q = -0.2 - -0.6. Sort 0.3, q, d in decreasing order.\nAnswer: q, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259215 divided by -3.\nAnswer: 86405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 + 9 + 3*a**5 + 0*a**5 + (0*a - a + 0*a)*(16*a**4 + 10 - 10).\nAnswer: -13*a**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/5 - 146676*c**3\/5 - 293358*c**2\/5 - 29336*c.\nAnswer: 2*c*(c - 73340)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/16 and -133\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 84? (a) -43\/10 (b) 1\/3 (c) 11 (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/5 - 264337628*n\/5 + 8734297697083298\/5.\nAnswer: 2*(n - 66084407)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 21635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**4\/4 - j**3 + j**2 - 4*j - 9. Suppose 2*s - 3*s = 4. Give c(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 - (-32)\/6. Suppose -2*o + 5*l + 9 = 0, o - 2*l = 5*o - g. Find the first derivative of 2 - r**o - 2 + 1 wrt r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 900*s**2 - 69*s - 14. Let b be h(2). What is the greatest common factor of 24 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*x + 49*x - 8*x**2 - 142*x + 46*x.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/17232 and -41\/5744.\nAnswer: 17232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2.1. Let a = -0.0046 - -0.4046. Suppose 0 = 4*f - 3*f - 3. What is the closest to -1 in q, f, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (28\/(-4))\/(1*2\/6). Is z less than or equal to -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from dddidudiiudddidd.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, h: 1, b: 4, l: 2, x: 1, d: 2}. Give prob of picking 1 x and 2 b.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75.230005313 - -75.23. What is x rounded to 7 dps?\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(56) - (-3*sqrt(2744) - sqrt(56)) - sqrt(56))\/sqrt(8)*-3 - (-2*2*sqrt(70))\/(sqrt(10)*2*3)).\nAnswer: -196*sqrt(7)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 - 19*j + 1. Calculate b(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.335042 days to minutes.\nAnswer: 13442.46048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/128)\/(78\/3848)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -28, -58, -90, -118, -136, -138?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3728 - 33596\/9. Calculate the common denominator of b and 25\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3, -5, 5, -11 in decreasing order.\nAnswer: 5, 3, -5, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 748\/176 - ((-13)\/(-4) - 4). Put y, -1, -186, -3 in increasing order.\nAnswer: -186, -3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, h: 4, f: 2, x: 3}. What is prob of picking 1 g, 2 x, and 1 f?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 0 - 721\/60*x**5 + 0*x + 2\/3*x**3 - x**2 - 1\/3*x**4. Let j be k(6). What is j rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/8 and ((-36771)\/(-4635))\/(2984\/(-6) - 4\/6).\nAnswer: 29880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 + 13*a**3 - 121*a**2 + 15679179 - 15679176 to g*a + p + i*a**3 + b*a**2 and give b.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-2*1) - -2. Suppose -w = -8*y + 7*y + 9, -28 = -3*y + 4*w. Let f be (6\/y - (-464)\/64) + 0. Solve -3*i + f = -m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2101 + 2?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/5 (b) -6 (c) -2\/7 (d) -5 (e) 0.36 (f) -355\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 39. Let p be q(-30). Suppose -5*l - p = -6*l. Calculate the highest common divisor of l and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k + 14. Let j be t(4). Let z(v) = 550001*v**2 + 2*v. Let y be z(j). What is y rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -2\/3, -3, -0.06, -38?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 672084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 1:48 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 16 + 307*z + 385*z.\nAnswer: 692*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**3\/6 - v**2\/2 + 361*v. Let b(i) = -30*i - 3. Determine b(j) - 4*y(j).\nAnswer: -26*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -o - 2*o. Let t be (o + -2)\/(2\/4). Suppose t*l + 125 - 21 = s, 4*s + 5*l = 416. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/41 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*a**2*u**2 - 27354*a**2*u - 1616674*u**4 + 8825*u wrt u.\nAnswer: -130*a**2 - 19400088*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*p - 20*p - 517 = 10*p + 286 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*l - 7*x + 11*x, 0 = 2*l - x + 7. Sort 4, -5, l, -11 in decreasing order.\nAnswer: 4, l, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 1 + 1 + 1. Suppose 0 = 2*l + g*k - 24, 0 = 5*l - 7*l - 3*k + 29. What is the highest common divisor of l and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2088, 2033, 1978, 1923, 1868, 1813?\nAnswer: 1758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 68674 = 4*m, 121*m = 118*m + 3*w + 51546. Does 152 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 13 = -3. Let p(k) = 5*k**2 - 4*k + 1. Let c(d) = -18*d**2 + 1 + 27*d**2 - 3*d - 6*d + 2*d. Give y*p(t) + 3*c(t).\nAnswer: 2*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*p - 6*p**2 - 3 + 5 - 15*p**2 - 143*p.\nAnswer: -21*p**2 - 99*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 3*t - 7. Let k be f(5). Let s(q) = -q**2 - q + 22. Let c be s(-5). Suppose 5*v - 96 = k*r, c*v + 4*r - 33 = v. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/42 and 41\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5*y - 7, 0 = 5*l - y + 59. Suppose -28 = 4*p + 3*u - 143, 3*p = 2*u + 65. Let v = p + l. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 1*sqrt(2))*-4 + sqrt(8) + 1 - ((sqrt(112)*-2)\/sqrt(8))\/sqrt(7))**2.\nAnswer: -8*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 60 = -2*p. Let r(s) = 19 - p - 17*s + 18. Calculate the remainder when r(-5) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 5. Let l(p) = p**2 + 7*p + 4. Let y be l(-5). Let q be m(y). Solve 3 - q = -2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-13) - (-176)\/(-208). Let y(q) = 26*q**2 - 1. List the prime factors of y(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**5\/30 - g**4\/3 - 2*g**3\/3 - 9*g**2. What are the prime factors of h(7)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 41*r - 9*r. Differentiate -6*l**2 - 68 - r*l + 314 - 116 wrt l.\nAnswer: -12*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 66 = -3*l, -35 = -0*l + 2*l + 5*w. Let h = 45 + l. Let y = h + -12. What is the remainder when 22 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119160 is divided by 896.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6835.47 - -6794. Let u = -42 - i. What is u rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0) + 12\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 28*p**2 - 39*p - 13. Let v be n(11). Let q = -931 + v. What are the prime factors of q?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19202417, -76809650, -172821705, -307238582, -480060281?\n\"Answer: -19202411*h**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a5a4 (base 11) in base 5?\nAnswer: -1404140","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 162 + -160. Find the first derivative of 3*n**2 + 3*n**z + 2*n**2 - 41 + n**2 + 2*n wrt n.\nAnswer: 18*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 255, -1157, -4, 1, -2 in increasing order.\nAnswer: -1157, -4, -2, 1, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 169*r*s + 27*s wrt r?\nAnswer: 169*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -177 + 889\/5. Let c = -619 - -616. What is the biggest value in c, 2, n, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**4\/6 + 38359*y**3\/6 - 447113*y**2\/2 - 38359*y\/6 + 670670\/3 = 0.\nAnswer: -1, 1, 35, 38324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c - 11*c - 12*c - 7*c + 33*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41535501 is divided by 10383871.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -152 + 155. Solve -4*h + 2*a = 0, c*h + 5*a - 7 = -20 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l. Let w(v) be the first derivative of 13*v**3\/3 + 34*v + 25. Let q(m) be the first derivative of w(m). What is n(q(k))?\nAnswer: 52*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 9. Let t = 870 + -875. Sort t, -1, 0, n in increasing order.\nAnswer: t, n, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21908?\nAnswer: 2, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**1*b*b*b*b)**(15\/8)\/(b**(2\/15)\/(b**(2\/15)\/b)))**(-18) assuming b is positive.\nAnswer: b**(-369\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/17, -1\/22, 36817\/4?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 13 = u - 4, 2*k = 2*u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -151 + 313. Let c be (-18)\/12*(-8)\/g*3. Let u = -9 + 14. What is the second smallest value in 4, c, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.034 - 0.234. What is the closest to u in 4, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*z + 154*z - 64*z)*(-29 - 58*z + 29).\nAnswer: -5974*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*f**2 - 171*f**2 + 53*f**2 + 52*f**2.\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000088056 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 11:20 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from uiuiu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 a when three letters picked without replacement from hoeoaloeohleeooeolo?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2\/9 - 332*i - 998 = 0. Calculate i.\nAnswer: -3, 1497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, -0.6, -1\/3, 0.08, 2\/13 in decreasing order.\nAnswer: 1.1, 2\/13, 0.08, -1\/3, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -10*k**3\/3 + 173*k**2\/2 + 1962*k. Give w(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -189 + 271. Let k = f + -81.99999939. What is k rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -98.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*x + 8*x - 156*x as t*x + n and give t.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 10 - 5. Let b be (-6)\/(-2)*(-2 + 0 + 3). Put x, b, 15 in increasing order.\nAnswer: x, b, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10215630 (base 7) to base 8\nAnswer: 3222624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**6\/90 - l**5\/15 - 5*l**4\/24 - l**3\/3 - 2*l. Let i(z) be the second derivative of w(z). Is i(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*p - 335197764 - 91*p + 335197766.\nAnswer: -202*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000593 - -0.0127?\nAnswer: 0.013293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/300 and 127\/2976.\nAnswer: 74400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.746 + 10.7460008835. What is b rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1151 - 1148. Let n(d) be the first derivative of 0*d - 1\/2*d**4 + 0*d**2 - 2*d**h + 3. What is the third derivative of n(s) wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**1)*p)**(3\/19)*p**5*p\/p**(-5)*p*p**5\/(p*p**(-2)*p)*(p**(-2\/3))**(-2\/25) assuming p is positive.\nAnswer: p**(1279\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2))**(-3\/7)\/(g**(-6)\/(g*g\/(g*g\/(((g*(g\/((g\/g**(-6))\/g))\/g)\/g*g)\/g*g))*g)) assuming g is positive.\nAnswer: g**(31\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 220 = -5*u, -b - 4*b = 5*u + 200. Let p = u + 83. Suppose p = 4*l - 7. What is the greatest common factor of l and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 2*j + 24 = 0, -j - 754 = -756 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8072.\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099390588 to the power of 1\/2, to the nearest integer?\nAnswer: 33157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + -2 - 1*-2. Let b(r) = r**2 - 4*r - 3. Let k(n) = n**2 - 4*n - 4. Let a(o) = -2*b(o) + 3*k(o). Give a(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + m + 2)*(-27*m**3 + 22*m**3 + 22*m**3) - 36*m - 12354*m**3 - 45*m + m**4 + 12356*m**3 as c*m**2 + l*m**3 + n*m + r + u*m**4 and give n.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15058304 divided by 9.\nAnswer: 15058304\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5995?\nAnswer: 5, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**3\/3 - 424*h**2\/3 + 22042*h\/3 + 45796\/3 = 0.\nAnswer: -2, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -333 (base 12) to base 5\nAnswer: -3341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 14*g**5\/25 - 6*g**4\/5 + 2*g**3\/5 + 2*g**2\/5 - 40. Factor z(u).\nAnswer: 2*u*(u - 1)**2*(7*u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 259 + -63.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/3151 and 16\/3425.\nAnswer: 78775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -132*v**2 - 8*v - 8. Let d be w(-1). What are the prime factors of (2\/11 + (-10184)\/d)*3?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/141 and 16\/15?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 43*k - 101. Is 14 a factor of c(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 19507*x**2 + 4. List the prime factors of w(1).\nAnswer: 109, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 410.3166 millilitres?\nAnswer: 0.4103166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1570.019 - 0.019. Let s = v + -1641.1. Let u = 71 + s. Is u greater than or equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*z - 18, -26*x = -28*x - 4*z + 24. Solve -4*b + 3*r = -4, x*r - 5*r = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2790 - 249*q - 2790 + 2234*q + 1077*q - 468*q.\nAnswer: 2594*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2151 = -3*r - 735. Let w = r + -3. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/10 greater than 217\/507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96444, -96420, -96394, -96366, -96336, -96304, -96270?\nAnswer: -96234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 101 = 72*k - 20. Suppose -18\/7*p**k + 50\/7 - 30\/7*p - 2\/7*p**3 = 0. Calculate p.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) 1.1 (b) 1\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 481, 1934, 4357, 7750, 12113, 17446, 23749?\nAnswer: 31022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11126603\/374 - 29750. Find the common denominator of q and 40\/11.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -236*u**7\/35 - 331*u**5\/10 - u**4\/24 + 848*u**2. What is the third derivative of j(p) wrt p?\nAnswer: -33984*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/3, -1\/2, -74, 0.5, -2\/11.\nAnswer: -74, -1, -1\/2, -2\/11, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgpgj. Give prob of sequence jp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4695 + 11*m + 9347 - 4652.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 5*p**4\/4 - 35*p**3\/3 + 40*p**2 - 60*p + 21. Factor s(n).\nAnswer: 5*(n - 3)*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-875)\/865 - (1 + -2). Let k = -150681793\/346 - -435495. Let r = m - k. Which is the smallest value? (a) -2\/9 (b) -4\/15 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133 - -221?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 1:35 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 520221 is divided by 107?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -42, -76, -108, -132, -142?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/8*(-60)\/(-45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1076045 is divided by 33626?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jufv when four letters picked without replacement from jppfpppfzpvjvpuu.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*b**2 - 10*b**2 + 2*b**2 + 3*b**2 as p + i*b + h*b**2 and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 167 (c) -115854\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -201 - -255. What is the highest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2947, 2857, 2611, 2131, 1339, 157, -1493, -3689?\n\"Answer: -13*s**3 + s + 2959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 205 + 199 = -l, 5*l = -4*c + 21 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12722 (base 9) to base 7\nAnswer: 34043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/13))**21\/(p\/(p\/p**(-28))*p*p\/(p**25*p)*p*p) assuming p is positive.\nAnswer: p**(965\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11099.8 + 10009. Let t = 1295.73 + f. Let b = t - 204. Round b to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1533*t + 3400 = 800*t + 801*t for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15260.4 - 15260. Let i = -0.1 + -0.3. What is the closest to 1 in d, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226.4628g to micrograms.\nAnswer: 226462800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11938 - 220*x - 11938)*(2 + 0 - 1)*(3 + 1 - 5).\nAnswer: 220*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -5*s**4\/12 + s**2. Determine n(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 27334.33ml?\nAnswer: 27.33433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -38, 0.4, 3718?\nAnswer: 3718","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2007? (a) -3 (b) 5 (c) -377\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*i**3*m**3 - 3*i**3*m + 14*i**2*m**2 + 14*i*m**3 + 2 wrt m.\nAnswer: -204*i**3 + 84*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**3 - w**2 + w**2)*(-3 + 0 + 2)*(-2 + 2 + 3).\nAnswer: 15*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 + 1615*r**3 + 33110*r**2.\nAnswer: 5*r**2*(r + 22)*(r + 301)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*a + 1428, -4*a - 257 + 1689 = -4*f. Let i = -360 - f. Solve -2*m = i*r - 2, 8 = -r - 2*m - 2*m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (2*sqrt(128) + 2 + sqrt(128) - sqrt(128) - sqrt(128))**2 + -3)*-6.\nAnswer: 960*sqrt(2) + 4020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3945 and 20290450.\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176 (base 9) in base 8?\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -18. Calculate the common denominator of 35\/3 and (-105)\/d + (2 - 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39392350 divided by 15298.\nAnswer: -2575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -1, 13658 in increasing order.\nAnswer: -40, -1, 13658","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 1277086*v + 1277087.\nAnswer: -(v - 1)*(v + 1277087)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1824, 2364, 2906, 3450, 3996, 4544, 5094?\nAnswer: 5646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 48683, 97369, 146055?\n\"Answer: 48686*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19827 + 29698. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - l - l**2)*(9*l**2 + 16*l**2 - 2*l**2) + 0*l**2 + 0*l**2 + 4*l**4 - l**4 - 7*l**3 - 54*l + 54*l to j*l**2 + g*l**4 + o*l + m + d*l**3 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -864488*h*s*z + 11*h*z**2 + 2*s*z**2 - s*z + 14365*s + 3*z**2 + 3 wrt h?\nAnswer: -864488*s*z + 11*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 141891*a - 500. Is g(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4632582?\nAnswer: 2, 3, 772097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 461 = -461 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 + t**2\/3 - 626*t\/3 + 208.\nAnswer: (t - 24)*(t - 1)*(t + 26)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -0.1, 0.02, -2, 3, 1.\nAnswer: -30, -2, -0.1, 0.02, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/14)\/(48\/336)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1099*h + 347735 = 1116*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023622935 rounded to 4 decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1110)\/925)\/((-4)\/30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*g + t + 3, 19 = g - 5*t. Let j be 24\/3 - g*3. Let h(z) = z**2 - 11*z + 3. Calculate h(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) -18\/7 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -13 (c) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 5 - 4)*(12*x**2 + 5*x**2 - 7*x**2)*(156*x - 4 - 153*x + 2).\nAnswer: 240*x**3 - 160*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 152*h**5 - 2725*h**4 - 72408992*h wrt h?\nAnswer: 3040*h**3 - 32700*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a0c5a (base 16) in base 6?\nAnswer: 22040414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 0.263452229499.\nAnswer: -9.736547770501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1116.1 and -0.3.\nAnswer: 334.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**3\/6 + 13*b**2\/2 + 21*b. Give f(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**5*r)\/r**5*(r**(-2\/7))**31)**(-41))**16 assuming r is positive.\nAnswer: r**(36080\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*g = 202*g + 1458 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0, -1\/4, 5.\nAnswer: -0.5, -1\/4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 2*y**2 - 46*y + 96. Let h be k(2). What is the third smallest value in 2, 8, h?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + -1)*(-44)\/6. Let f be (-6)\/k*24\/(-36). Let c = -22\/31 - -304\/341. Put f, c, -5 in decreasing order.\nAnswer: c, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in years?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-10)*(-8)\/14. Let l = 4 - 4. Suppose 4*h + h - 7 = 2*p, 3*h + 4*p + 1 = l. Which is the nearest to g? (a) 0.4 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 13) to base 9.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -0.6311.\nAnswer: 5.3689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/21)\/(1\/7). Let u be (-8)\/(-18) - (-9)\/(162\/t). Which is the smallest value? (a) -5 (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -20 - 2*x**3 - 18 - 8*x**3 - 24 + 82 - 18. Let l(y) = -20*y**3 + 5. Suppose 0*c - 10 = 2*c. Give c*i(k) + 2*l(k).\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -971 + h - 941 + 1913 - 5*h + 2*h + 5*h.\nAnswer: 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 <= 117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, a: 8}. Give prob of picking 2 a.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 13*o**3 - 5*o**2 - 3*o - 5. Let h(i) = -20*i**3 + 7*i**2 + 5*i + 7. Let u(f) = 5*h(f) + 7*q(f). Find the second derivative of u(p) wrt p.\nAnswer: -54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/6 and -71\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 86 = 2*m - 5*s, -3*m + 116 = s. Let r = m + 54. Suppose -119 = -10*n + r. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131312 (base 4) in base 3?\nAnswer: 2121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - 153?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 10*i + 11*i - 6952 = 0, -2308 = -o - 5*i. List the prime factors of o\/(-76)*(-2 + 0)*1.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, c: 7, z: 7}. What is prob of picking 2 c?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8351 - 0.90304. Round d to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 1 - v + 0*v)*(-3*v + 2*v + 0*v).\nAnswer: 4*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-5 + sqrt(4)\/sqrt(2))**2 - (-1 + sqrt(162))**2).\nAnswer: -272 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 289.13828 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.9 and -58.\nAnswer: 458.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10350203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 10 = -3*d - x, 3*d + 11 = x. Let b = 8 + d. Solve -4 = -b*o + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2. Let l(k) be the first derivative of 7*k**3\/3 - 12. Determine l(b(f)).\nAnswer: 28*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**5 - 7*m**5 - 2*m**5)*(-980 + 314 + 398 - 1180 - 925 + (4 - 2 - 1)*(4 - 1 - 1) - 1 + 1 - 1).\nAnswer: 11860*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12159689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 7*q - 2*q + 3*l, -5*q = -5*l - 45. Let z(h) = h - 1. Let y be z(q). Let n = y + -7. Solve 1 - 5 = n*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -18*v**2 + v**2 + 4*v**2. Let k(a) = -6*a. Let z(m) = -4*m. Let o(w) = 3*k(w) - 4*z(w). What is o(d(q))?\nAnswer: 26*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 - 153. Let q = -23 - n. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 35*c**2 + 6*c**4 + c**4 + 20*c - 9*c**3 - c**5 + c**4 + 13*c**2 = 0.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 7:24 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 2915826.2?\nAnswer: 1166330.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 6*u**4 + 388832*u**3 + 8680686*u**2 - 15288692*u + 6219168 = 0.\nAnswer: -64783, -24, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 60094912 divided by 32?\nAnswer: 1877966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 8. Let y be 140\/(-18) + (-8)\/36. Let b be l(y). Suppose -2*n - 3*v + 62 = b, 3*v + 62 = 2*n + 5*v. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36c3c7 (base 16) to base 5\nAnswer: -1404322223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -0.01 (c) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 18*v + 2*v + 18*v - 31*v - 31*v. Let b(z) = 201*z**2. Determine t(b(u)).\nAnswer: -4824*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*s**3 + 864*s**2 + 61*s**3 + 1897*s**2 + 45*s**3.\nAnswer: -3*s**3 + 2761*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3, -9241.8, 12 in increasing order.\nAnswer: -9241.8, -3, -0.2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12012 + -1?\nAnswer: 12011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-4))\/(3\/(-1014)). Round p to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*u - 1, 20 = 2*k - 4*u. Let n be (-1 + 2)*(17 - 2). Calculate the highest common divisor of n and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.022 + 1.022. Which is bigger: -9 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -4.22 (b) 1240 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + 9. Suppose -2*k - 16 = -a. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69\/2*j**2 + 13*j**3 - 1\/2*j**4 - 2*j + 46 = 0. Calculate j.\nAnswer: -1, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (90 + 58 + 46 - 59)*(3*c + 0*c - c) to y + t*c and give t.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001021 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -25241113 (base 6) to base 8\nAnswer: -3066105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 568*j**2 - 36993*j - 27. Calculate f(-627).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g**4)**(-25\/2) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -5*m - x + 285, 3*x = -3*m + 141. Suppose -46*o = -m*o + 12. What is the greatest common factor of o and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -7)*-4*(-4)\/(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -18.05. Round s to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2008908.\nAnswer: 2, 3, 11, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 13. Suppose -3*k + k = 5*t - 5024, 4036 = g*t - 4*k. Suppose 5*o - t = 609. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o + 5*o + o)*(3 + 1 - 3)*(15 + 12 - 14) to j + c*o and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**4\/5 - 443673*c**3 - 6655113*c**2\/5 - 6655119*c\/5 - 2218374\/5 = 0.\nAnswer: -1, 739458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 623?\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1992 + 8946 = -366*h for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)*-3 + sqrt(24))\/(sqrt(1200) + (sqrt(1200) - -2*sqrt(1200))).\nAnswer: -7*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 43*f - 63*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327 a factor of 4742698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/((-54)\/56)*(-15)\/(-6) and 143\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71675246 a multiple of 1070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*4\/3. Let h = -448 + 1342\/3. Which is the closest to y? (a) -0.3 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1192968 or -2?\nAnswer: 1192968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3327?\nAnswer: 3, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00274611303 to 6 dps.\nAnswer: 0.002746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a second in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - ((-54)\/(-90) - 4\/(-10)). Which is smaller: -7 or h?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(2) - sqrt(198)\/sqrt(11)) + sqrt(2) + sqrt(18)\/(sqrt(225) + sqrt(9)) - sqrt(10)\/(sqrt(405)*-2))**2.\nAnswer: 179\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*m + 1. Find the third derivative of 28*a**6 - 12 + 12 + 28*a**m wrt a.\nAnswer: 3360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4399 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 y, and 1 x when three letters picked without replacement from yyycxyxycxx.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, r: 3, h: 3, l: 1, z: 2, n: 1}. Give prob of picking 1 n, 2 h, and 1 l.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -32, -1\/8, -34.1, 0 in increasing order.\nAnswer: -34.1, -32, -3, -1\/8, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c**2 - 11*c - 16. Let k(u) be the third derivative of u**5\/60 - u**4\/12 - u**3\/2 + 27*u**2 + 5. What is -22*k(x) + 4*q(x)?\nAnswer: -2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w + 36. Let h(p) = -p + 18. Let k(f) = 3*a(f) - 5*h(f). Let d be ((-117)\/(-45))\/13*0. What is k(d)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-7)*-4 + (-1)\/(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iidtiidddddtdxiti.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 36006500.\nAnswer: 108019500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - 91a31?\nAnswer: -91a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 3.1 (c) 199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 250 (c) -11\/4 (d) 0 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0, -9625, -3, -6 in decreasing order.\nAnswer: 0, -3, -6, -13, -9625","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 18666600467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 8 + (5 - -2 - 13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -31*w**3 - w**2 + 2*w. Calculate p(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 135? (a) -3 (b) -2\/3 (c) 1\/3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c + 1. Let h be u(-2). Suppose h*a = a - 2*f + 14, -5*a = -4*f + 2. Suppose j = -3*p + 125, j - a = 3*j. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3679 - 3671.628. Let p = d + 0.028. Let s = p + -7. What is the biggest value in 7, s, -1\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133 + 11?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1038*d + 3828 = 719*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25 minus 5506.3762?\nAnswer: -5506.1262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3465 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*i + 253, q + 64 = -2*i + 166. Suppose 13*z + i = -81. Let t be (-2)\/(-6) - z\/15. Put 2, 4, -2, t in increasing order.\nAnswer: -2, t, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 78 - 18 = 0. Suppose 3*c + 0 = 12. Let n = t - c. What is the least common multiple of 5 and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -5*c**4\/12 + 5*c**3\/6 - c - 2. Let r(m) be the first derivative of s(m). Find the second derivative of r(h) wrt h.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 4*m, -3*m = 4*u - 7*u + 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -69 (b) -0.3 (c) 0.4 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.672234 rounded to three decimal places?\nAnswer: -0.672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/(-66) + (673\/11 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5173811 to the nearest one hundred thousand.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = 9*f + 150. Suppose -f = -n + 130. Does 31 divide n\/(4 + (4 - (6 - -1)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 613020?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i**2 + 29*i - 10. Let x be o(8). Let l = -33 - x. Suppose l = t + 5*k, -4*t + k + 494 = -1. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, b: 3, r: 12}. What is prob of sequence bbb?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -257, -1051, -2381, -4253, -6673, -9647, -13181, -17281?\n\"Answer: -f**3 - 262*f**2 - f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49765*i + 49726*i - 394 = 425 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8)*3\/(-18)*-4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1746 and 36084?\nAnswer: 108252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 47*g - 4*g**2 - 47*g + 3*g**2 + 1.\nAnswer: -(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7296.746 nanograms?\nAnswer: 0.007296746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 881 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 91 - 42 + v**3 - v**2 - 3*v**3 - 45 as t*v + s + j*v**2 + g*v**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) 1\/5 (b) -3829 (c) 1\/7 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2809 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27555, 27579, 27641, 27759, 27951?\n\"Answer: 3*r**3 + r**2 + 27551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 516\/132) + (-712820)\/(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 - 1c29?\nAnswer: -1c3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/195*(1020\/144)\/17.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 32405.\nAnswer: -18\/32405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71879343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -47*v + 191. Let t be u(4). Which is the closest to t? (a) -0.4 (b) 2\/7 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*b = 3*t + 17, 2*b - 12 = t. Let h be 1\/5 + t\/10. Round h to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83614.3 centuries in decades?\nAnswer: 836143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 12384\/17 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -15?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (4 - 0) + -15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -12*h**2 + 2*h - 14. Let b be g(-5). Let n = 458 + b. What are the prime factors of n?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((189\/(-14))\/(-9))\/18*(-5)\/20*8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 21*b - 2*b)*(3 - 7*b - 2*b + 28*b - 11*b - 3*b).\nAnswer: -120*b**2 - 72*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -11755?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3*p - 25565*a**3*z - a**3 + 3*a**2*p*z + 5*a*p + 14965*a wrt z.\nAnswer: -25565*a**3 + 3*a**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/3, 9, 5, 1\/6, 254?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-4 + sqrt(500)*2 + 4 + 0)*-5)**2.\nAnswer: -200*sqrt(5) + 50001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5435\/2 - -43567\/16. Calculate the common denominator of -23\/34 and u.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.097, -3\/4, -1, 2, -2 in descending order.\nAnswer: 2, -0.097, -3\/4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013624942 to five dps.\nAnswer: 0.00136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3512061111 to the nearest integer?\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-15\/2)*o**(-1\/2)*o)**(1\/4) assuming o is positive.\nAnswer: o**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, v: 1, m: 5, q: 2}. Give prob of picking 1 n and 1 q.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 138.7094 to zero decimal places.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 3*w - 0*w. Suppose 4*f - 5*k - 1262 = w, 1567 = 5*f - k - 0*k. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -47, -83, -153, -269, -443, -687?\nAnswer: -1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 45.\nAnswer: -5, -3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4731\/4 + -1182. Put z, -3, 0, -2 in ascending order.\nAnswer: -3, -2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.6832 rounded to one decimal place?\nAnswer: -47.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**4\/4 + 6861*s**3\/4 - 36041295*s**2\/4 - 36048153*s\/4 = 0.\nAnswer: -4793, -1, 0, 2507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnz. Give prob of sequence nzc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 738843254?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(3\/2))\/y**(-10\/11))**8 assuming y is positive.\nAnswer: y**(300\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91644?\nAnswer: 2, 3, 7, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13211 - 13227. Let y(m) = -2*m + 3. Let z be y(4). Let t(n) = -4*n - 16. Let d(b) = b + 5. Calculate r*d(c) + z*t(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 309623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2 - 12*r + 14 = 0. Calculate r.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -14*y - 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-6))\/(-6*(-5)\/(-40)). Is 31 a factor of (46 + -1)\/((-1)\/(u\/(-2)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 5 (b) -0.36 (c) -116060\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 7:26 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - v + 0*v)*(-63121 + 126233 - 8541*v**2 - 63112 + v**3) in the form k*v**2 + b + o*v**4 + g*v**3 + r*v and give g.\nAnswer: -8541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34496 and 40278?\nAnswer: 14177856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 10*p**2 - 9*p + 10. Let m be g(9). Solve 2*u - m = 3*w + u, 8 = -w - 2*u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, b: 3}. Give prob of sequence bub.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.661 - 0.061. Let q = 5 - v. Let a = -2 + q. Sort 0.5, a, -2\/15.\nAnswer: -2\/15, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3196 - 1058 - 1074 - 11*g - 1065 + 165*g + 15*g.\nAnswer: 169*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 9*s**2 + 32. Let u be c(-8). Let w be (u\/(-5))\/((-6)\/1031250). Round w to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224226295.\nAnswer: 5, 43, 269, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12611 + -0.29547846.\nAnswer: 12610.70452154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1866875887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14, 12, 8, 2, -6, -16, -28?\n\"Answer: -s**2 + s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -171519 and 9\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437*d - 437*d - d**3 - 6 + 0*d**3.\nAnswer: -d**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 29 + 12\/(4 - 1). Let v = q - 31. Let n(l) = 0*l**v + 2 - 4*l**2 - 1 + l**3 + 2*l**2 - l. Give n(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 4405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81\/2 - 1\/2*u**5 + 27\/2*u - 27*u**2 - 21*u**3 - 11\/2*u**4.\nAnswer: -(u - 1)*(u + 3)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 5*f**2 + 6*f - 3. Let d be g(4). Suppose d*c - 170 = p - 60, -6 = -c - 3*p. Calculate the remainder when c is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.754531871 to two dps.\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4805?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s + 0*s - s. Let v be (1 - (-12 + -3))\/1. Let t(z) = v*z - 16*z - 3*z**2. Calculate t(r(h)).\nAnswer: -75*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.93461 to one decimal place.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18760162 and 628907.\nAnswer: 13381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 5 (b) 1 (c) 11 (d) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r**2 - 3*r**2 + r**2)*(1 - 4 + 2)*(6 - 5*r - 6) as j + l*r**2 + f*r + d*r**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 3 - 7*s + 19 + 11*s**2 + 8*s. Let k be i(-11). Solve -3 = 3*q + y, -k*q = 2*y - 2 + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 104 = -2*v, -4*v - 68 = -6*v + 3*b. Suppose -2*j + 360 + 150 = 0. What is the remainder when j is divided by v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17972696 divided by -5?\nAnswer: -17972696\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 257*z - 2. Let y(x) be the first derivative of -x**2 - 2025. Determine y(w(b)).\nAnswer: -514*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 - 14*r**2 + 2*r - 17. Determine m(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(((f**(-1)*f)\/f)\/f))*f*f*f*f*f**(1\/2)\/f)\/(f*f**(-3)\/f*f*f*f*f**5))\/(f**(5\/4)*f*f**(-11))**4 assuming f is positive.\nAnswer: f**(61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33 and -5137991081807.\nAnswer: -5137991081774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 25*d + 48. Give q(-27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -202, -168, -112, -22, 114, 308, 572, 918?\n\"Answer: 2*n**3 - n**2 + 23*n - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*v + 5203 = 23*v - 37*v for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 1110100?\nAnswer: -1110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**2 + 5*k + 1. Let i(g) = -15*g**2 + 14*g + 3. Let x(q) = 11*b(q) - 4*i(q). Let w be x(-2). Suppose w - 79 = -2*f. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, f: 3, n: 1, a: 1, c: 6}. Give prob of sequence dnc.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 555271413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, i: 2, e: 2, g: 6, b: 4}. Give prob of picking 1 n and 1 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105250 and 33545280?\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12b178 (base 13) to base 16.\nAnswer: -6e8f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l + 5. Let o be v(-4). Suppose -260*a - 167 = -1207. Sort o, a, 1 in increasing order.\nAnswer: o, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 439 and 8460847?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/733? (a) -3 (b) 399 (c) 6 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.576 times -0.03?\nAnswer: 0.07728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 12 = 4*o, 20 = o - 0*s + 4*s. Suppose 0 = -i + o*i - 12. Suppose -4*f = -4*h - i, 4*h = 3*f - 0*h. Solve -f*y = -15 + 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -2330123?\nAnswer: -2330130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 41 = -k - 50, 0 = -5*k + 5*n + 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -8. What is the first derivative of 2*c**3 + u*c**3 - 3 + 0*c + 0*c wrt c?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-19)\/2 + 1)*-2. Does 4 divide (-3)\/6*2 + n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-3))**(-2\/31)\/((j*j**(-5\/2)*j)\/(j**0*j)) assuming j is positive.\nAnswer: j**(101\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p - 65 + 19*p + 65 - 15*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 24 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456*d + 5940 + 3636 = 0 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-49)\/2)\/7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 16. Let q = 246 - 241. Solve q*i - 14 = f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -219958 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -182 - 272. Let w = k - -454.00329. What is w rounded to 4 dps?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*z + 47 = 0, -5*z = -5*c - 0*z + 135. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -5.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 12*l. Let v(n) = 2*n - 16. Let j(d) = 2. Let o(y) = 24*j(y) + 3*v(y). Calculate p(o(z)).\nAnswer: 72*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-4) - (-204)\/48. Solve -d = 3*b + 2*l, -3 = b + 5*l + 16 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/144)\/(8\/(-16))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13021114 to the nearest integer?\nAnswer: 3608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-16))\/v**(2\/11)*(v\/((v**(-1\/2)\/v)\/v))**22 assuming v is positive.\nAnswer: v**(1032\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x + 2*x - 3*x)*(8 - 12 - 12) - 79*x - 101 + 101 in the form k*x + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13131 (base 4) to base 7.\nAnswer: -1251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31206079?\nAnswer: 31206079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*d = 38, -2*p + 76 = 7*d - 3*d. Let a = p + -16. Suppose -u = 3 - 23. What is the smallest common multiple of a and u?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 9 = 7*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.175447 less than -4906?\nAnswer: -4906.175447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + -54. Let n = m + 73. Solve 2*x - n = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -12 - (-6 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.4249 - -0.0569. Round n to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2225.186 grams to tonnes.\nAnswer: 0.002225186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12333*i**3 + 24455*i**3 - 16766*i**3)*(2*i**2 + 0*i**2 + 0*i**2).\nAnswer: -9288*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -1122?\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -15, -1, -11, -3, 0 in increasing order.\nAnswer: -15, -11, -4, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001507493 rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/9114 and -139\/183582?\nAnswer: 1285074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 15*d**2. Suppose 2*y = 2*g + 306, -6*y - g + 622 = -2*y. Suppose -7*o - y = -4201. Let x(m) = -578 + o - m. Calculate x(n(s)).\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 12. Is g(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-1\/24))**(2\/15)\/(z**(-1\/15)\/(z*z**(9\/7)*z*z)))**33 assuming z is positive.\nAnswer: z**(64097\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/7)*r*r**(-17))\/((r**(-1\/39)*r)\/(r\/r**(-11))) assuming r is positive.\nAnswer: r**(-1241\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 - -66.95. Which is smaller: -16 or j?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(231)*2)\/sqrt(7))\/(sqrt(108)*4).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r = 19 + 23. Suppose r*m + 271220 = 23*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q + 325 + 299 + 3*q**2 - 623. Let g(l) = l**2 + l + 1. Calculate 5*g(f) - 2*j(f).\nAnswer: -f**2 + f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 12. Let p(y) = 10*y - 284. Let z be p(36). Let s(x) = 36*x - z*x + 44*x. Calculate s(v(k)).\nAnswer: 4*k + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*z + 5*z + 32, 4*z = 0. Is (282075\/(-300))\/(0 - (-2)\/g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**18*f)\/(f**(-5)\/f*f))**(-23) assuming f is positive.\nAnswer: f**(-552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = -5*u + 12*t + 500, 5*t = 2*u - 200. Calculate the greatest common divisor of u and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*a + 171 = 0, a + 108 = -5*h + 3*h. Let y = -80 - h. Let v = y + 25. Solve 0 = w - 1 - v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1748587.161 from 0.63.\nAnswer: 1748587.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 192, 837, 2038, 3897, 6516, 9997, 14442, 19953?\n\"Answer: 17*q**3 + 176*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 313835731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 6*u**2 + u - 4. Let t be w(6). Let z = 158\/5 + -32. Which is the nearest to t? (a) -3\/8 (b) z (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmeegjgegg. Give prob of sequence jmg.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 2*v)*(1 + 3 - 1).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 - (0 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 9386 = 31*q - 32*q, 0 = -3*x + 6. List the prime factors of q.\nAnswer: 2, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -104, -154, -206, -260?\n\"Answer: -d**2 - 47*d - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 2:45 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 14*o**3 - 13*o**2 - 11*o - 13. Let x(l) = -7*l**3 + 6*l**2 + 5*l + 6. Let n(c) = 6*s(c) + 13*x(c). What is the second derivative of n(z) wrt z?\nAnswer: -42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 8, -5*g = -5*b - 4 - 6. Suppose j + 0*j + d - 9 = b, 4*d + 72 = 5*j. Let x = j + -5. What is the remainder when 13 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6 = 2*j. Suppose d = -3*p - 7, 4*d - j*p = d + 12. Suppose -2*x - 84 = -3*s - 34, d*s - 5*x = 37. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -12. Let b(t) = t**3 - 12*t**2 + 2. Let z be b(u). Solve -4 = -z*f - 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 divided by -2895?\nAnswer: -112\/579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/18*(-202 + 196) - (-104)\/6. Solve 0 = 4*b + 4*x + 20, 15*b + 2*x = i*b + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a4e71 (base 15) to base 10.\nAnswer: 523006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**2 + 8*a - 13. Let j(w) = w**2 - 2*w + 3. Let x = -1 - 1. Let s be -14 - (-2 - 1)\/(9\/15). Determine s*j(y) + x*c(y).\nAnswer: y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 4*q**2 + 100*q + 37. Calculate j(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*j + 497*j**3 - 263*j + 1250*j**3 + 1258*j**3.\nAnswer: 3005*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 417 (base 10) to base 11\nAnswer: 34a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 301352 and 113007?\nAnswer: 904056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(45) - (sqrt(45)*4 - sqrt(5)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 36 = -15*a. Solve -d = j - 3 - 3, -3*d + a*j = 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-4 - (-8 - 1) - -19).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5382042763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302 (base 10) to base 8.\nAnswer: -456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 24 = -4*q, 10 = -57*q + 55*q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**6\/120 - 11*y**5\/60 + 5*y**4\/12 - 7*y**3\/6 + y**2. Let q be f(-12). What is q rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**4\/4 - 4*f**3\/3 - 2*f**2 - 11. Factor o(x).\nAnswer: -x*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*w**3 + 9*w**3 - w**3)*(-2*w - 5*w - 6*w + 5*w).\nAnswer: 48*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**3\/5 + 198733748*w**2\/5 - 2468443812766092*w\/5 - 2468444011499844\/5 = 0.\nAnswer: -1, 24841719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 8013\nAnswer: -7\/2671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 62712*s + 327732912.\nAnswer: 3*(s + 10452)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 42694966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61.87 + -61.77. Which is the nearest to 0.2? (a) 2 (b) h (c) 4\/7 (d) 0.25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.5 + 3.1. Is 1\/4 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*w**6 + 7152*w**4 + 14194680*w**2 - 5*w wrt w.\nAnswer: 4080*w**3 + 171648*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 48. Determine h, given that h**2 + 75*h**3 - 84*h**3 + 6*h**4 - r*h**4 + h**2 = 0.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (6 - 5\/(-5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393385377?\nAnswer: 3, 7, 11, 29, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 - 63. Suppose 2*w = 6*w - 8, -10 = -s*n - 2*w. Solve 2*l - n*d + 8 = 2*d, -3*l - 5*d = -21 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -w**3\/21 + 2*w**2\/7 + 32*w\/7 - 316. Suppose r(b) = 0. Calculate b.\nAnswer: -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.1734 + 17.250481. Let l = 0.077 - k. Round l to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 + 313 = 13*j. Let c(k) = -k**2 + 4*k - 4. Let m(p) = p**2 - 4*p + 5. Give j*c(n) - 4*m(n).\nAnswer: n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190.5 rounded to the nearest ten?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 3 = -2*a - 0*a, -4*a = -5*q + 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f**3 + 241*f**2 + 39*f - 12. Let n be o(-40). What is the smallest value in n, -3, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 8. Suppose -4 = -o*k + 2*f, 6*k - 12 = 3*k + f. Let r = -429 + 423. Put r, k, 1, 4 in descending order.\nAnswer: k, 4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470.7665 nanoseconds in hours?\nAnswer: 0.00000000040854625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 327 divide 912347733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c**(4\/3)*c))*c*c\/c**(2\/5))\/((c\/(c\/(c\/(c**0*c*c*c))))\/c**(-4\/3))*((c\/(c*c\/(c*c**(1\/3))))\/(c*(c\/(c*c**(-6)))\/c))**27 assuming c is positive.\nAnswer: c**(-742\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 - 81378424*v\/3 - 827805986590472\/3.\nAnswer: -2*(v + 20344606)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n - 3*n + n + (-1 + 4 - 1)*(2*n - 4*n + 3*n) - 8*n + 1 - 1 + 0*n + 5*n - 4*n - 3*n + 0*n + 2*n + (1 + 2 - 2)*(-2 - n + 2).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.68412 to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 5 = 11*w + 4*t, -t = 4*w - 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyydddayszd. What is prob of sequence sadd?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 12:08 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -4, -2, -4\/25, -1354?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6183 + -6181. Solve -2*d - o - 10 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1007*v**2 + 2*v + 867 wrt v?\nAnswer: -2014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 - -0.1. Let u = -10.77 - -10.3. Let x = -0.37 - u. Sort p, 0.5, x in decreasing order.\nAnswer: 0.5, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2606 and 858.7807?\nAnswer: 859.0413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.4 in 3, -0.097, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) -25 (c) 0.4 (d) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 56 + 181 = 4*p, -3*p + 2*n = -98. Let a = -8 - -12. Calculate the lowest common multiple of a and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = -2*p + 102. List the prime factors of p.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32\/15 or 24997?\nAnswer: -32\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1693, -4206, -6721, -9238, -11757?\n\"Answer: -b**2 - 2510*b + 818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3 - 2*q + 3*q - 8 - 2*q. Give u(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -6\/11 (c) 1 (d) 4\/5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 9*s**2 - 8*s + 18. Let o be f(-10). Is 44 a factor of o\/10 - (-3978)\/90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1322781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 + 7\/(-6 - (-75)\/12) is divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 16*f + 3*f + 66 - 15, -5*h - 4 = -3*f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6433?\nAnswer: 7, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**2)**(-5\/3)*(x**(-6\/5))**(-12) assuming x is positive.\nAnswer: x**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -0.8. Let z = 0.5 + t. What is the biggest value in 0.3, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19, 4, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 462*m - 936. What are the prime factors of r(69)?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, 0.1, -0.3, -9 in ascending order.\nAnswer: -9, -0.3, -1\/10, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*t - 7887 = -92*t - 51*t - 167*t for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.7 + 1.3. Let n = 27 + -26.7. Which is the second biggest value? (a) l (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-5) + (-128)\/20. Let i be 5 + (-2)\/k*0. Suppose 5*l + 120 = 5*v, 143 = 5*v + i*l + 3. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7730843?\nAnswer: 101, 76543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2754 (b) 3 (c) -5 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 972.\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 115*a**2 - 22988*a + 22988*a + (-a + 2*a - 3*a)*(100*a - 47*a - 59*a) as i + p*a + v*a**2 and give v.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 17*l + 36. Calculate y(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 - 10*u**2 + 449*u + 2247. Determine p(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**3*w*w**(1\/3))**(9\/7)\/(w**6\/(w**5*w)*(((w**4\/w*w)\/w)\/w)\/w**4) assuming w is positive.\nAnswer: w**(62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 + 1. Let b(z) = 9*z. What is y(b(l))?\nAnswer: 243*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -16*v**2 - 173*v - 482. Let d(r) = 123*r**2 + 1209*r + 3375. Let h(s) = 2*d(s) + 15*t(s). Factor h(k).\nAnswer: 3*(k - 32)*(2*k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.4 - -4. Let p = t + 10.4. Which is the biggest value? (a) 4 (b) -1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5863*f**2 + 326 - 481 + 5868*f**2 to i*f + q*f**2 + b and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113033 and 27426253.\nAnswer: 1853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73800 is divided by 73791.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56016 and 98028?\nAnswer: 392112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(0 + 0 + 10*a)*(-320*a - 23*a + 66*a).\nAnswer: -2770*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 + 60. Let b(i) = i**2 - 4. Let w(q) = 1. Let m(u) = -u**3 + 7*u**2 - 5*u - 5. Let f be m(6). Determine d*w(o) + f*b(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.1 - -1.1. Let j = 75\/67 + -509\/335. What is the smallest value in 3\/5, w, j, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -5*x**3\/2 + 75*x**2\/2 - 11*x - 9. What is t(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -25*m**2 - 838*m - 457. Calculate w(-33).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -243 + 251. Suppose -2*p - 3*y = -n, -20*y + 18*y = 5*p - 20. Solve -g + p - 9 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*q - 2408, -z + q + 602 = -0*z. Suppose -n - 6*n = -z. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*t - 5*b, -3*t - 16 = -4*b - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -5*r - 15, -29*i + 540 = -180*r - 31*i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 33\/(-12) - (25 - 28) - 14\/(-8). Suppose 3*x = 4*i - 2*i - 14, 0 = -x - 3*i + 10. Let l = 6 + x. Sort 20, d, l in descending order.\nAnswer: 20, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776383299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 5*m - 2*m - 130 + 131. Let w be q(-7). Suppose 0 = 2*o + 2*o + 4, o + 1 = -2*s. Solve l - w = -s*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 7*d + 2. Let a be s(6). Suppose -a = -o + h, -78 - 143 = -5*o + 4*h. Calculate the remainder when o is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 + 35. Let r(g) = -g - 1. Let s(z) = -5*z - 6. Let f(n) = c*r(n) + s(n). Let a(w) = -3*w. Determine a(f(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*c - 39 = -61*c - 4*i, -5*i + 21 = 39*c - 41*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -609, -610, -611?\nAnswer: -612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 117277 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4411919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 36*u + 154. Let m be f(-5). Let n = -8.3 - -9. Let s = n + -0.5. Which is the second biggest value? (a) 1 (b) m (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 122.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 554*f + 289*f + 40126 = -1075*f + 166714 for f.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(76))**2 + sqrt(19) + (sqrt(304) + 0 - sqrt(304))**2 + sqrt(19))*1 - (sqrt(133) + -1*sqrt(133)*3)\/(sqrt(7)*-2*2 - sqrt(7)).\nAnswer: -12*sqrt(19)\/5 + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 6:27 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1801612436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*x - 36900 = -504*x - 396*x for x.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -41. Let d be z - ((-1008015)\/(-3) + -4). Let u be ((-450)\/(-3))\/(1 + 336009\/d). What is u rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + sqrt(2))*-2 + 2 - (sqrt(242) - (sqrt(242) + (sqrt(242) - (sqrt(242) + -5*(0 + sqrt(242)) - sqrt(242)))**2 + sqrt(242)))*4.\nAnswer: 42*sqrt(2) + 34846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 103459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nb when two letters picked without replacement from bnnnnnnnnnnn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 125 + 1407 + -1415.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(19) + sqrt(19)*-3 + 3))**2 - (3 + sqrt(76)).\nAnswer: -20*sqrt(19) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -2)*15\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4\/13 + 56*t**3\/13 + 354*t**2\/13 + 700*t\/13 + 400\/13 = 0. What is t?\nAnswer: -20, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, b: 4, f: 1, z: 4, g: 3, i: 1}. What is prob of sequence gbg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000120863 to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2052*j - 12412. What is k(6)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 3*p**2 + 4*p. Calculate j(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10407.36 centuries to years.\nAnswer: 1040736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 215*h**2 + 210*h.\nAnswer: 5*h*(h - 42)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 373*y**2 - y - 1. Let b be h(-1). Let z = b + -790. Round z to the nearest 10.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -u - u + 3528, 4*s = -5*u + 8853. Let t = -1032 + u. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 424999 + -4173915173\/9821. Calculate the common denominator of l and 48.\nAnswer: 9821","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1246463 and 58020?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6116 is divided by 408?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444*y - 445*y + 2 = 0. Suppose -61 = 5*h - 161. Suppose -5*m + y*m = -j - 10, 4*m + 2*j = h. Solve m*x = 3*x + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4 + 8. Differentiate a + 4*a + 4 - m*a with respect to a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (2 + (9 + -9 + -9 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55 + 42 - 20)*(2*t**3 - 6*t**3 + 2*t**3) - 21*t**3 + 2*t**2 + 23*t**3 + 12*t**3.\nAnswer: 80*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) -0.4 (c) 0 (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2448) + 2)*4 - sqrt(2448)) + sqrt(2448))**2.\nAnswer: 768*sqrt(17) + 39232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by ((-4)\/2)\/(7 - 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290\/(-696)*(-3)\/(-5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8308.168 decades?\nAnswer: 996980.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/45700 and 73\/2796840.\nAnswer: 13984200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 12:00 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/14*1164\/(-1455)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18330 is divided by 96.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -65850 divided by 2\nAnswer: -32925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(972) + -3)*-6*4 + 2)*3.\nAnswer: -1296*sqrt(3) + 222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -159 + -15. Let d = 389 + o. Suppose 3*k - d = -2*q + 4*q, k = q + 73. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14828, 29657, 44486, 59315, 74144?\n\"Answer: 14829*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 7*b + 10. Let z be s(-7). Let r be z*(5\/2 + -1). Suppose r = 3*f - 4*p, 5*f - 1 - 7 = p. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21\/46 - -2761\/23. Let w = -117 + h. Let 7\/2*x**3 - x + w*x**2 - 6*x**4 + 0 = 0. What is x?\nAnswer: -2\/3, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(152) - (sqrt(152)*-2 - sqrt(152) - sqrt(152))*1)\/((sqrt(72) - (sqrt(72) + -2*sqrt(72)))\/sqrt(9) + sqrt(8)).\nAnswer: -10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 12. Let q be b(-12). Suppose q = -3*o + 2*g - 730, -140 - 1076 = 5*o - 3*g. Let h = o - -386. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 4*o + 4*o)*(5*o - 4*o + 0*o) + 15*o**2 + 17*o**2 - 19*o**2.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3204 + 3214. Solve 18*a - 8 = g*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 238735.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3562*r - 5*j - 610 = 3565*r - 481, -4*r + 4*j = 204 for r.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 59 (b) -29 (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24560, -24550, -24540?\n\"Answer: 10*u - 24570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -1762\nAnswer: -8810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*l - 200*l**2 + 35*l**3 + 5519 - 5519.\nAnswer: 5*l*(l - 6)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*v**2)*(-4*v**2 + 6*v**2 - 4*v**2) + (-4*v**2 + 4*v**2 - v**3)*(-27 + 12*v + 27).\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 207978 and 12?\nAnswer: 415956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -96, 57286 in descending order.\nAnswer: 57286, -1, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1173 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 747\/249 + 84\/(-80) + -2?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30.1, -169, -1\/4 in decreasing order.\nAnswer: -1\/4, -30.1, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1024, -1031, -1034, -1027, -1004?\nAnswer: -959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2 + 3*x - 3. Suppose 8*b = 5*b - 6. Let m(y) = 5*y**2 + 2*y - 2. Let s(f) = b*d(f) + 3*m(f). Let u(g) = 4*g. Give s(u(n)).\nAnswer: 112*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h - 6. Let v be q(-6). Let j(k) = -k**2 + 6*k + 12. What is the remainder when j(v) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 12 + 0 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44495103*t**5 - 9*t**4 + t**2 + 2*t + 6635745.\nAnswer: 2669706180*t**2 - 216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 7) + 4 - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9)\/(((-1)\/2)\/1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((99\/(-2))\/9)\/(37\/74)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5.6, -3 in descending order.\nAnswer: -3, -4, -5.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12db3 (base 16) in base 8?\nAnswer: -226663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/10)\/20*(-15)\/(90\/96).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -325 + 465. Suppose -11*x + b = -4*x. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -0.117 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 13 - 8)*(-3*l + 3*l + 2*l)*(-2 - 4 + 5).\nAnswer: 44*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2276660 by -455332.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15475410 by -9.\nAnswer: 1719490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 6*p - 6. Let i be g(5). Let o = -271848 - -271849.5. Which is the nearest to -0.1? (a) -1\/9 (b) i (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -0.02, -0.47, -2, -2.5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + -2*(((sqrt(80) + sqrt(80)*-1)**2 + -2)*-3 + 4 + -5)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 236 - 1716 = 0. Suppose -4*s + d = -2*u, 71 = s - 2*u - u. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**4\/12 + r**3\/6 + r**2 - 3*r. Let a be b(0). What is the third derivative of -n**3 + 2*n**3 + 8*n**3 - a*n**2 wrt n?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -246.5 - -246. What is the nearest to -3 in 1\/12, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**5\/20 + b**4\/2 + 4*b**3\/3 + 4*b**2 - b. List the prime factors of g(7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r + 134 - 202 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5613 - 5559. What is the nearest to 2\/7 in t, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46 or -326\/7?\nAnswer: -326\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p - 2. Let i be z(7). Let w = 42 - i. Find the third derivative of 15*r**6 - 2*r**6 - w*r**6 - 19*r**2 + 8*r**6 wrt r.\nAnswer: 2280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*m**3 - m + 7086*m**2 - m**4 - 3530*m**2 - 3528*m**2 to y*m**2 + z*m**3 + d*m**4 + c + o*m and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.27 - -23.27. Let z = 52 - l. Let p = z + -29.00000055. Round p to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.248 rounded to 2 decimal places?\nAnswer: 1.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2303.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*d + 361657 - 47287. What is the thousands digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24217 is divided by 466?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v + 23*v - 32 = -2*l, 0 = 3*v + 3*l - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 39373192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 53*d + 44*d - 86*d - 2. Is 7 a factor of q(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 484, 3 in ascending order.\nAnswer: -0.4, 3, 484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24418\/9 - -2713. Let b = 5 - 1. Sort -4, -5, b, q in decreasing order.\nAnswer: b, q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318501551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1029 - -135214?\nAnswer: 134185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 7*s**6\/60 - s**4\/6 - s**3 + 22*s**2 + 10*s. Let b(v) = -29*v**3 + 9*v + 13. What is -6*b(z) - 13*f(z)?\nAnswer: -8*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 3. Suppose 3*c + 5 = 11. Let t be q(c). Solve 4*f - t*f - 1 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3541*z**3 - 27*z - 23 wrt z.\nAnswer: 21246*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5318.\nAnswer: 2, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 394937 and 1819?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -102 + -327564?\nAnswer: -327666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-10) + (452\/(-8) - 0). Let r = m - -60. Solve -3*x + 0 = r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595680 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202241 is divided by 22468?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2199\/2 - -1099. Let g = 0 + -0.2. Let x = -0.03 - -4.03. What is the third smallest value in g, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2880131009 rounded to the nearest 1000000?\nAnswer: 2880000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4872 - 4898. Which is the second biggest value? (a) 5 (b) -34 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 3:31 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2695834?\nAnswer: 2, 19, 61, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2198 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**3 + 5*j**2 + 7*j + 6. Determine y(-3).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538*h - o + 12 = -539*h, 1073 = h + 154*o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03416267 to 4 decimal places.\nAnswer: -0.0342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.7 + -3.3. Let l = k + 12.8. What is the second smallest value in -5, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0*m + 10. Let t(j) = 2*j**2 + j - 3. Let o be t(-3). Is 12 a factor of (o\/5)\/((-1)\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15*94\/(-3) - 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 720*w - 726*w + 16 = 160 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by (7 + (-34)\/4)*-38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1544810.4 months to centuries.\nAnswer: 1287.342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1782*((-27)\/(-6) - 2). Calculate the highest common divisor of 99 and w.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4 - 1 - 2. Let i(g) = -3*g**2 - 3. Let f(b) = i(b) + 3*u(b). Let x(j) = 10*j - 2*j - 9*j. Give x(f(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*t**4 - 46*t**2 + 63342*t?\nAnswer: 408*t**2 - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**4 - p**2\/2 - 14*p - 2. Let b(s) be the first derivative of y(s). Determine b(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -367 or -366?\nAnswer: -367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 12:44 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -12 - (-9 - (-6 - 10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 + 2*a**3 + a**3)*(647 - 647 + 62*a) + (-2*a**2 + 1 - 1)*(4*a**2 + 5*a**2 - 5*a**2).\nAnswer: 178*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2587793 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 61, -5, -189, -551, -1151, -2049?\n\"Answer: -10*t**3 + t**2 + t + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491275 = -125*x - 482525 for x.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-29431)\/5928 - (8\/(-52))\/(-2) and (-2)\/(-5) - (-14)\/90?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, v: 2, d: 3, p: 9}. What is prob of picking 2 d?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 194809249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v + 4*v + v + 3. Give x(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + v - 4. Let l(y) = 8*y**2 - 7*y + 15. What is -2*j(o) - l(o)?\nAnswer: -10*o**2 + 5*o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**5\/2 - 2155*t**4\/2 - 8579*t**3\/2 + 53803*t**2\/2 + 30114*t = 0.\nAnswer: -2151, -7, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 - f + 1. Let u(d) = -7*d**3 - 7*d + 8. What is 6*a(g) - u(g)?\nAnswer: -5*g**3 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjbjjjjbj. What is prob of sequence jb?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, i: 12}. Give prob of sequence ii.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 1 - 1)*(-2*u + u + 0*u)*(-50414 + 29113 + 26094).\nAnswer: -4793*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -t**4 - 3*t**3 + 702*t**2 + 8521.\nAnswer: -4*t**3 - 9*t**2 + 1404*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 232015535?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 2\/13 (b) -1\/6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -535, -1066, -1599, -2134?\n\"Answer: -x**2 - 528*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 + 3 + 3*b - b - 6.\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -49*v - 875. Let q be f(-50). Which is bigger: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**5\/20 - c**4\/8 + c**3\/2 + 9*c**2. Is 13 a factor of m(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -606.08 - -4.08. Let c = -602.502 - x. Round c to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 3*g + 8, -z + 5*g + 15 = 4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/3410 and -31\/30.\nAnswer: 10230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4674\/(-14) - ((-220)\/28 - -8). Put n, -4, 4 in descending order.\nAnswer: 4, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 9 = -i + 3*u, 0 = -u + 3 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 14*u + 28. Let b be p(-4). Is -44 equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94259 and 418?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6*(-4)\/30)\/((-6)\/15). Let i(k) = -k**2 - 2*k - 1. Determine i(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63172 is divided by 445?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 54299895103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 8*i - 784 = 3*u, -3937 = -5*i - 2*u. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + 49 + -96 - -13\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 28*m + 3377. Let t(r) = -22*r - 3373. Determine -4*d(h) - 5*t(h).\nAnswer: -2*h + 3357","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -539.7, -4.9, 4?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4881954 or -4881955?\nAnswer: -4881954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -w - 27, -v + 0*v - 10 = -3*w. Let h(k) = 8*k - 6 - k**2 + 9*k**2 + 0*k + 0*k**3 + k**3. What is h(v)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214887073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -396, -2053, -4826, -8721, -13744?\nAnswer: -19901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**3\/2 + 383*l**2 - 23144*l - 15600 = 0 for l.\nAnswer: -2\/3, 100, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8418 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 23051534.\nAnswer: 8\/11525767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -311\/20818 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6422?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -5, -1, 8.\nAnswer: -5, -1, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h. Suppose 2*p - 1 = 9. Suppose -3*m + l + 7 = 2*l, p = 4*m - 3*l. Let j(z) = -z - 3*z + m*z + 3*z. Determine t(j(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 222463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 752.116 and 27268.\nAnswer: 28020.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6 + 23\/3. Let x(b) = -3*b + 19. Let c be x(4). Let v = c + n. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/144*(-12)\/(-3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - 2*v**2 + 4*v**2 + 0*v**2. Let s(o) = 3*o. Determine s(b(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9*216\/(-270)*105\/(-54)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -552*m**3 + 2208*m**2 + 44*m - 210. What is g(4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69782686 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k**3 + 2*k**3 + 0*k**3)*(1 + 0 + 0 + (4 - 3 - 2)*(3 - 1 - 3)) to j*k**3 + l*k + n*k**2 + v and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 5, q: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.35 + -393.65. Let k = x - -395. Let z = 0.03 + 2.97. Which is the closest to k? (a) z (b) -1\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + 47 + -5 - 13?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0.5 (b) 1\/127 (c) 0.2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2894 is divided by 112.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2799131 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69*-4469.\nAnswer: 308361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 5*n - 36 = 0, 45 - 89 = 13*j + 2*n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 413822*f**3*l**2 - 9*f*l**2 + 224422969*l**2 wrt f.\nAnswer: 1241466*f**2*l**2 - 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -579*b**4 - 213*b**3 - b + 589*b**4 - 162*b**3 as p*b**3 + s*b + f*b**2 + q*b**4 + h and give p.\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45*(-29)\/(-34 - -121)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/6 + 2)*6. Let d(t) = 4*t + 8. Suppose 0 = -0*q - 4*q + 24. Let s be d(q). Calculate the highest common divisor of z and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.018 - 0.382. Put -5\/23, k, -1 in increasing order.\nAnswer: -1, k, -5\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2116 = 7*m + 243. Let j = 371 + m. Which is smaller: 32 or j?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 34, -13, 1, 3, -37.\nAnswer: -37, -13, 0, 1, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298 = 18*l - 280. Suppose 0 = 5*f - 2*z - 28, 2*z - 6*z - 8 = 2*f. Let d = l + f. Calculate the least common multiple of 18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 9*b - 12*b + b**2)*(b**3 + 0*b**3 - 3*b**3) + 11*b**5 - 4*b**5 - b**5.\nAnswer: 4*b**5 + 42*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yynjrbyyyyyysyybsy. What is prob of picking 2 s and 1 b?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p = 120. Let k be p\/(-10) - 4\/10. Suppose j + 12 = -4*m - k, 0 = -m - 2*j. Which is bigger: -5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rmxrrrrmrrrrrr?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 10:49 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 u, and 1 l when three letters picked without replacement from uculcluulu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*q - 5*q - 2*o, 18 = q - 2*o. Let t(u) = u**2 - 6*u + 7. What is the units digit of t(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p + 2*p + 29*p**2 - 59*p**2 + 33*p**2 as x + j*p + i*p**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2364681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -246 - -245.95. Which is the third biggest value? (a) -0.4 (b) -0.03 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9811.83 rounded to the nearest 100?\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3 - 9. Let q = 4 + h. Suppose q + 23 = 2*x. What is the lowest common multiple of 6 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - h**2 + 4*h**2)*(0 - 2 + 0) + (0 + 0 + h)*(-4*h + 3*h + 3*h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + -65?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**0\/q))**(9\/5)*q*q**(9\/4)*q**8 assuming q is positive.\nAnswer: q**(297\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 - y**2 - 2 - 1 + y**2 + 1 - 1 + (-5*y + 3*y + y)*(5*y - 2*y - y) to the form z + w*y + q*y**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 130 = 4*m - 15, 86 = -3*m + 2*o. What is the units digit of (-244)\/m + 12\/42?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 61990*t - 61992*t = -28, 0 = -2*l - 5*t + 38 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f - 2 = 0. Suppose 0*y - 4 = 2*y, f*o + 3*y = 20. Let u = o + -8. Solve 4*n = -5*l - 8, 2*l = 6*l + u*n + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -12. Let k be (-9)\/(-6)*d\/9. Suppose -k*m = -2, -2*z = -3*z - 5*m - 15. What is z rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 6*z**3 + z**2 + z + 13. Let p(l) = -5*l**3 - 2*l**2 - l - 13. Let u(d) = -5*p(d) - 4*s(d). Let h be u(-6). Solve 5 + h = 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 9*j**2 + 11*j. Let s be (2\/(-4))\/(1\/4). What is the least common multiple of (-2 + s + 2)\/(-1) and h(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 + -2)\/(-2) - -402. Let l = b - -194. Suppose -2*s + 2*h = -l, -4*s + h - 2*h + 1203 = 0. Round s to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4067256 and 177942450?\nAnswer: 711769800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 625709093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1524 and -131816.647.\nAnswer: -130292.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15305447?\nAnswer: 15305447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - w + 53. Calculate n(-12).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + t = -0*k + 74000003, -4*k = 3*t + 148000011. Let a be 1 + (k\/(-2))\/(-1). Round a to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 46220, 92266, 137938, 183050, 227416, 270850?\n\"Answer: -31*x**3 - x**2 + 46266*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jfpj when four letters picked without replacement from {i: 1, c: 8, f: 3, p: 1, b: 1, j: 2}.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1098800 to the nearest 10000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c**2 + 4*c - 23*c + 15*c**2.\nAnswer: 3*c**2 - 19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 273 divided by -145\nAnswer: -273\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 10:09 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/5))**12*q**6*(q\/(q*q**(-2\/9)))\/q)**37 assuming q is positive.\nAnswer: q**(16687\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 637 + 1?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1. Which is the nearest to -0.1? (a) -2 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -36, -210, -384, -558?\n\"Answer: -174*g + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 4, z: 2}. What is prob of sequence zu?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59\/2 - -28. Which is smaller: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r = 98 - 10. Solve r*d - 3*s + s - 4 = 0, -d - s + 7 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1 - (26 - 11 - 22)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**6 + 912811*a**4 + a**3 - 588*a**2 - 718*a wrt a?\nAnswer: -120*a**3 + 21907464*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029369 to 4 dps.\nAnswer: 0.0294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1441 - 2*m**3 + 8*m**3 + 1441.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394 + 214 = 38*v. Let q be (-4)\/3*(4 + -88). What is the greatest common divisor of q and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*l - 45*l - 34*l + (2 - 2 - 3)*(l - 3*l + 3*l) - 2*l + l + 3*l - 3*l + 3*l + l + 0*l - l - l + (4 - 2 - 4)*(1 + 2*l - 1) + 0 + 0 - 2*l.\nAnswer: -51*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {r: 2, h: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5742\/870 + -2 + -4. What is the second smallest value in 817, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 1, 4, 18 in increasing order.\nAnswer: -32, 1, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 23*q + 6*q + 15.\nAnswer: 29*q - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + r. Let z(s) = 3*s**2 + 8*s - 6. Let k(b) = 2*f(b) - z(b). Let y be k(-6). Solve 4*o + 8 = -2*h + 24, o - y = -h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2221111112 (base 3) to base 9.\nAnswer: 87445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 776 = 2*b, 5*b - 2*b = -3*i + 1194. Suppose i = 4*w + 101. Let g = w + -36. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 974126.1nm in kilometers?\nAnswer: 0.0000009741261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21342.4 and -19.\nAnswer: 21323.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2964080 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 322 - 351. Let c = p - -29. Which is greater: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 9:51 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2119 + -3546. Let a = m - -1429.498. Let w = -2.5 + a. What is w rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/378 and -3 + 2438\/648 + (-9)\/36?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k + 2*k**4 + 0*k**3 + 0*k**3 + 4*k**4 + (k + 2*k**3 - k)*(2*k - 7*k + 3*k) + 5*k**4 - 3*k**4 - k**4 + k**4 + k**4 + 0*k**4)*(11 - 11 + 17*k).\nAnswer: 85*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/8 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 4*c**2 - 6*c. Suppose 0 = -3*x + 7 - 4. Let s(r) = 3*r**2 - r**2 - r - r**2. Give x*l(p) - 4*s(p).\nAnswer: p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 70 = -10. Suppose 3*g - 5*x = 166, 4*g - 12*x = -10*x + 226. Calculate the remainder when g is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 342, 679, 1016, 1347, 1666, 1967, 2244?\nAnswer: 2491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -6. What are the prime factors of (l\/(-10))\/((-1)\/(-26))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 133779678.\nAnswer: 40133903.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - (-107 + 40)) + -48?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4204 - 1324. Suppose -10*b + 14*b - t = 0. Is b a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186342772 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89039\/20 + 4451. Find the common denominator of c and 119\/54.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3806*p - 15225. Calculate k(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yg when two letters picked without replacement from gggygyygyygyyggg?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 32*d**2 + 31*d - 1. Is f(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyhyxyyynnynllylay. What is prob of sequence xlny?\nAnswer: 3\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 7*f**2 - 6*f + 5. Let l be x(6). Suppose 3*z - 2*z = l. Solve -4*c - z = 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 12. Let v(o) = -5*o + 15. Let j(l) = -v(l) + 3*w(l). Calculate j(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbc when three letters picked without replacement from {y: 2, b: 2, c: 1, k: 1, q: 8, p: 1}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 465260.69676 and 2.\nAnswer: 465262.69676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 470 + 110 = 0. Suppose k = 4*g + 4*b, g + 7*b = 2*b + 14. Calculate the remainder when g is divided by (-1)\/(23\/(-11) + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6) - (-68)\/132. Let t = -15.36 + 0.36. Let o = -20 - t. What is the smallest value in -0.5, o, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1267 + -688. Suppose -7*i + 667 = -b. Does 37 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*y**2 - 100*y**2 - 116*y**2 + 21*y - 26 + 319*y**2.\nAnswer: -2*y**2 + 21*y - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-1 + 4\/3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q - 4. Calculate the least common multiple of 20 and f(-11).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 14 = -9*l. Let b(z) be the second derivative of 0 + 0*z**2 - 2\/3*z**3 - 1\/2*z**4 + l*z. Find the second derivative of b(o) wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2140, 2313, 2596, 2983, 3468, 4045, 4708, 5451?\n\"Answer: -t**3 + 61*t**2 - 3*t + 2083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163376 - 2*b**3 + 163376.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -14*j - 45. Let v(g) = -g**3 + 3*g**2 + 5*g. Let z(h) = h**3 - h**2 - 4*h - 1. Let t(a) = j*v(a) + 5*z(a). Calculate t(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k + 8 - 5*k**3 - 10 - 5*k to m*k**3 + f*k + p + y*k**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33484 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 45, 51, 37, -3, -75, -185, -339?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 40, 45, 50, 55?\n\"Answer: 5*z + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3656355.\nAnswer: 3, 5, 173, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 191\/(-24) - (-23 - -15). Let y(p) be the second derivative of 1\/60*p**6 + 0 + n*p**3 + 9*p - 1\/16*p**4 - 1\/80*p**5 + 1\/8*p**2. Solve y(h) = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -178*s**3 + 52*s**2?\nAnswer: -1068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + u + 1. Let d be g(0). Which is smaller: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 240903?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.213 + -20177.0143.\nAnswer: -20177.2273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56667765 and 1030323.\nAnswer: 56667765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*j**3 + 20*j**3 - 10*j**3 - 2*j**3 - 3*j**2 + 3*j**2 + 1 - 1 - j**3 + (4*j**2 - j**2 - 5*j**2)*(1 + j - 1).\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -477 + 0?\nAnswer: -477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*s + 6 = -189 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgccgwgcgg. What is prob of sequence pw?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*x - 160 = 0. Let l = -19 + x. Suppose -3*j = -49 + l. Calculate the greatest common factor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3040 + 3041. Suppose 2*h = -5*s + 320, 3*s - 190 + 7 = -3*h. Calculate the least common multiple of k and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*n + 22196 = -108*n - 4*a, -a = n - 5543. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -168 in 7, -130, -2?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (8 - (-5 - -13)). Suppose -4*y = 19 + 1. Let p = -4 + 7. Which is the fourth smallest value? (a) p (b) y (c) m (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96161547 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b - 8*b - 10*b - 5*b**2 + 6*b to j*b + h + p*b**2 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*x**2 - 30 - 31*x**2 - 6*x + 4*x**2 - 3*x**3 in the form h*x**3 + i + o*x**2 + a*x and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(187)\/(sqrt(22)\/sqrt(2))*4 + -2)**2 + (-6*sqrt(238)\/sqrt(7))\/(sqrt(22)\/(-1*sqrt(11))).\nAnswer: -50*sqrt(17) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -24676*0.5\nAnswer: -12338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-10) + (-156)\/30. Which is the closest to 0? (a) w (b) -7 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -52*o + 108. What is the units digit of m(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -45. Suppose -a = -4*n - t + 27, -n + t + 13 = 0. What is the lowest common multiple of n and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 - 51. List the prime factors of (191*12)\/6 + o.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - 1. Let u be ((-16)\/t)\/((-8)\/(-18)). Suppose b = -u*b + 8. Solve 0 = x + b - 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 5. Let n(h) = 1 - 8*h + 0*h + 3 + 6*h. Give -2*b(r) - 3*n(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*v - 23*v = 3*v - 39. Let j(h) be the third derivative of -h**5\/60 + h**3\/6 - 2*h**2. Give j(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 42. Let s = o + 34. Solve 0 = -s*b + 3 + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1385.7 - -1522. Round k to 0 decimal places.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -135*p**3 + 183*p**2 - 35*p + 59. Give h(2).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 10 + 4 = -3*x, 3*x = -3*k + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 380 and 20710.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*a**5 - 2 + 17*a**5 + 4*a**4 - 2*a**2 + 2*a**6 + 0*a**5 wrt a?\nAnswer: 240*a**3 + 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 3, -5, -13 in ascending order.\nAnswer: -13, -5, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12 - -16) + -1 - 15) + (2 - -1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1216 and 32880336?\nAnswer: 131521344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 + 1?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 7*s**2 + 7*s - 3. Let i be x(6). What is the third derivative of -6*d**4 - 2*d**2 - 7*d**4 - i*d**4 - 11*d**2 wrt d?\nAnswer: -384*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 893529?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-15)\/(-9))*18\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 3:13 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 40\/7 - 6\/(-21). Suppose -b*g + 40 = -g. Suppose -2*w + 4*j = 6, -4*w - g = 4*j - 44. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from wjssswjsmwwsijsms?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z + 3*z - z - 4 - z + 4 + (-3*z - z + 7*z)*(-5 + 6 + 2).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 28*d + 63. Let p be v(-30). Let b = -6 - -4. Let z be b\/2 + 12 + 0. Solve -a + 2*a + z = 3*k, -3*a + 3 = p*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1939 - 1939.06768. Round d to three decimal places.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.32 + 35.32. Let c = p - -53. Let w = -89.2 + c. Sort w, 5, 1 in descending order.\nAnswer: 5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83 or -79?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 80986.81 litres?\nAnswer: 80986810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/7*5*(-4)\/20\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -57 - 11 - -24 - (-2 - 2)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18253724, -18253722, -18253720, -18253718?\nAnswer: -18253716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 30*c**2 - 4*c + 14. Let n(k) = -29*k**2 + 3*k - 15. Let g(a) = 4*a + 17. Let m be g(-5). Let f(i) = m*o(i) - 4*n(i). Differentiate f(p) wrt p.\nAnswer: 52*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6095 - -0.7095. Which is the nearest to t? (a) -9\/4 (b) -6\/13 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 2*d - 90. Let m be 1\/(d\/15 - 1). Solve 0 = m*t + 20 - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 10693520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 7*a**2 + 7*a**2 + 11*a**2 - 27*a**2. Let s(r) = -6*r**2. Give b(s(d)).\nAnswer: -72*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**2\/4 + 1034335*o\/4 + 13705641 = 0 for o.\nAnswer: -53, 1034388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**3 - 20*u + 30. Calculate y(4).\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**3\/2 - 21*b**2\/4 + 12*b + 18. What is j in v(j) = 0?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**4\/44 - l**3\/33 - 2*l**2\/11 + 4*l\/11 + 71. Factor f(z).\nAnswer: (z - 2)*(z - 1)*(z + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 272, 1851, 5978, 13877, 26772?\n\"Answer: 204*f**3 + 50*f**2 + f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*d - 27, -d - 3*d = 5*m - 36. Let j be (6\/4)\/(20\/(-120)). Does 13 divide (-2)\/d + (-146)\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 f, and 2 t when four letters picked without replacement from dpytftflyptp.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 220*j**2 - 6*j + 6. What is the units digit of x(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*i + 5*z + 1030, 5*i - 4*z = 1032. Let f be ((-18)\/456)\/(2*(-1)\/i). Is f < 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 3*k - 64 = 0. Suppose -k - 62 = -3*g. Let b = 47 - g. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4237, 8429, 12621, 16813, 21005?\n\"Answer: 4192*c + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 4342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 590990884 a multiple of 2925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.364022 - 23529.7.\nAnswer: -23530.064022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4)*32\/(-12). Solve o + 2*q - 6 = r*q, 2*o + 8 = -q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12307, 49328, 111021, 197380, 308399, 444072?\nAnswer: 604393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-90)*(-156495)\/(-6). Let r = 868 + d. What is the common denominator of r and -89\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101*v**4 - 371*v**4 - 3611*v**2 - v**3 + 3037*v**2 wrt v.\nAnswer: -6480*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u**3 + u**2 - 1. Let a be q(1). Let n(g) = 7*g**2 - g + 1. What is the lowest common multiple of 4\/a*-3 + 3 and n(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 932*t - 2806. Calculate q(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + 0. Let v = 1.364 - 0.364. Which is the third smallest value? (a) z (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -3*r**2 + 693. Suppose s + 3*c + 6 + 3 = 0, 2*c = -s - 6. Let x(h) = 2*h + 0*h + s*h. Give x(y(i)).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhh when three letters picked without replacement from ffhhfhfhhfffffhfhhhh?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13514, 0.4, -153?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -7, 32, 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -1 + (496 - 415)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 7.482 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, k: 7, q: 9, y: 2, e: 1}. What is prob of sequence ykqk?\nAnswer: 21\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 22872*y + 30161664.\nAnswer: 3*(y - 5928)*(y - 1696)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1917, -7653, -17213, -30597, -47805?\n\"Answer: -1912*d**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 630484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13393, 13381, 13369, 13357, 13345?\n\"Answer: -12*r + 13405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2122*o**6 + 16519*o**5 + 5279*o**2 + 619*o + 5 wrt o.\nAnswer: -254640*o**3 + 991140*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21518832*x**3 - 37344591*x**2?\nAnswer: 129112992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 1 - 1)*(1 - 1 + u) + 158*u**3 + 269*u**3 - 39*u**3.\nAnswer: 389*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - 0.3. What is the biggest value in 2\/9, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110002950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 217.84 + -226. What is w rounded to one dp?\nAnswer: -8.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 9 - 1)*(-6*p + 3*p + 2*p) to v + i*p and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -3*t**4\/4 - 10*t**3\/3 + 3*t**2\/2 - 10*t + 69. Is 5 a factor of z(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*m - 1352*m - 75*m.\nAnswer: -1333*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22, 26, 26, 22, 14, 2?\n\"Answer: -2*y**2 + 10*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6352465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 13*o**2 + 42*o + 3. Determine i(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 50436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/14)*z\/z**2*z*z)\/((z*z\/(z\/(z*z*z\/(z**(-1)\/z))))\/z**1) assuming z is positive.\nAnswer: z**(-57\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + 1554\/546?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -5. Let t = 3 + -4. What is the nearest to t in h, -4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*p - 9, 3*r + 5*p = 108. Calculate the highest common factor of r and 328.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -12 + -3 + 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 14689792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*m - 30*m + 8*m + 8*m.\nAnswer: -34*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310299740255 - 17*b - 310299740255.\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o + 5*o - 5*o + (-3*o + 3*o + o)*(0 - 1 + 0))*(0*o**3 + o**3 - 3*o**3) to the form y*o + a*o**3 + x*o**4 + q + n*o**2 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -171, 4, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -6619, -3704?\nAnswer: -3704","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.409 - 0.591. Which is the closest to p? (a) -3 (b) 0.1 (c) -1 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 100\/150 - (-3 - (-10664)\/12). Suppose 4*l + 3783 - 577 = -2*q, -4*q - 6416 = 4*l. Let x = q - s. Round x to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-2)\/221044) + 2\/2. Is 13 a factor of a\/437 - (-4)\/46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1536 is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k - 20. Calculate v(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 76 = -54*y, -372*y - 68 = -374*y + 3*s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 11*d + 6*d. Suppose d = -m - 5*f - 6, 5*f + 0*f = -10. Let z(t) = -t. Let r be z(-5). Solve 4*q = -m, -r*q - 25 = -4*v - v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 5*i + 8. Let o be z(-7). Let w be 14\/6 + 2\/o. Let m be w\/8 + (-1196)\/(-16). What is the highest common factor of m and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 1\/8, 1\/4, -16.1?\nAnswer: -16.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1069700 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 14 - (1 - -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2 - 0, j = -3*r. Suppose -3*n - 29 = 5*a, -j*a + 3*n = 4 - 1. What is the biggest value in -5, a, -68?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5458*p**3 + 8*p**2 + 2824*p**3 + 2632*p**3 - p**2 - 7*p**2.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n = 30*n - 35, 5*v - n - 107 + 119 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 4*h**2 - 5*h**2)*(h + 2*h - 5*h) - 7*h**3 + 11*h**3 + 6*h**3 + (2*h**2 + 3 - 3)*(4*h + 2*h - 4*h).\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 808\/7 equal to 114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48220424 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -125\/1725202 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2703 + 2727. Suppose 0 = 4*d + 35 - 95. Calculate the smallest common multiple of d and x.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28433776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**8\/2016 - x**6\/108 - 19*x**3\/3 - 48. Let m(k) be the third derivative of a(k). Find y, given that m(y) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1649 + -2 + 1 + (81 - 87)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/4)\/((-3)\/(-8)). Suppose u = -a - a. Let x = 878961\/2 + -439482. What is the closest to a in x, 2, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.2 - 14.2. Let j = r - -7. Put 2\/7, 5, j in decreasing order.\nAnswer: 5, 2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-100)*30\/(-6).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -0.2264.\nAnswer: -0.013584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 25\/121?\nAnswer: 25\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 45\/6*16\/5. Let p = 1392 + -1386. What is the greatest common divisor of a and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31487 by 1.\nAnswer: -31487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3007.548 to the nearest 100.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2802645 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5db2e (base 15) in base 3?\nAnswer: -120012212022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -17. Let m be f + -4*5\/10. Solve 2*j + 3*j = 5, x - m = 3*j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 4*i. Let n be k(-2). Let a(r) = 2*r**2 - 6*r + 9. Let p be a(n). Suppose -p*x + 25*x = 32. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-29)*t)\/t**(1\/2))**35 assuming t is positive.\nAnswer: t**(-1995\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -312 - -317. Let q(p) = -p - 8. Let r be q(-12). Solve -9 = 5*s + 6, -g*x = r*s + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*g - 19*g - 279*g - 237*g - 211*g as r + p*g and give p.\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2583, -1452, 449, 3132, 6609?\nAnswer: 10892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(475) + 0 - sqrt(475) - (sqrt(475) - -1*-2*sqrt(475)))**2.\nAnswer: 20*sqrt(19) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -27, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -55*o**2 + 1312*o + 5264. What is m(-4)?\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-1 - (8 - (-5 - -11))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 + -1 - 2) + 2. Let r be (-82)\/(-7) + 2\/p. Let l be (6\/(-4))\/(27\/r). Is -1 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-3) - 14\/6. Let j = s - -9. Let y(v) = -v**2 + 9*v - 8. List the prime factors of y(j).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*a + 3*a. Is (-4)\/(-28) + (-202)\/a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5590007 - 11420007. What is c rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 3:36 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 0, 287, -6392 in descending order.\nAnswer: 287, 3, 2, 0, -6392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61 (base 7) to base 12.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 g when two letters picked without replacement from gxyyqg?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12129837.\nAnswer: 3, 191, 21169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*z + 6 = -0, 4 = -2*u + 3*z. Suppose 0 = -55*p + 56*p - 3. Suppose p*o = -3 - 3. Which is the nearest to o? (a) u (b) 0.2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**7\/14 - 2*i**3 + 4*i. What is the second derivative of d(u) wrt u?\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + 3 - 3 + (4 - 1 - 2)*(-1 + j + 1) - 7 - 5*j + 7 - 19 + 19 + 2*j to z + x*j and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-4)\/24*15\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k. Let b(h) be the second derivative of 11*h**3\/6 - 18*h. Calculate a(b(m)).\nAnswer: -44*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 3.5. Let p = -96\/5 - -19. Which is the second smallest value? (a) t (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 2*t - 1. Let f be o(1). Calculate the remainder when 0 + (2 - f) + 15 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/10)\/(36\/12)*-3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27600?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d + 1. Let j be t(5). Suppose -2*g + j = -93. Calculate the highest common factor of g and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -1\/135*q**6 + 0 - 4\/27*q**3 + 0*q - 1\/9*q**4 + 1\/18*q**5 - 2*q**2. Factor j(t).\nAnswer: -2*(t - 2)**2*(4*t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/(p\/p**5))\/p*p)**(21\/8))**(2\/39) assuming p is positive.\nAnswer: p**(21\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4117202958539\/150649520 + 1\/150649520. Let r = t + -27326. Find the common denominator of r and 29\/34.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + h = -57, 2*u - 25 = 4*u - 3*h. Let b be ((-35)\/u)\/((-1)\/6). What is b rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2155611 to the power of 1\/2, to the nearest integer?\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 476\/35 + (-4)\/(-10). Suppose -2*j + q = -90, 3*j + 5*q + 0*q - 161 = 0. What is the remainder when j is divided by (50\/3)\/(d\/21)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3128ml in litres?\nAnswer: 0.0053128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 55 = -0*c. Suppose -c - 4 = -3*b, -4*m + b = -67. Suppose -a + 2*z = -27, 5*a - 127 = -5*z + 8. What is the highest common divisor of m and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1559673 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkl when three letters picked without replacement from lgkvrkk?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -8 (b) 0.5 (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 12:23 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 338011.3 millilitres to litres.\nAnswer: 338.0113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -133 + 128.45. Round o to 1 dp.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + l. Let z(m) = 7*m**2 - 3*m. Let t(v) = 6*g(v) + 2*z(v). Let i(b) = 12*b**2 + 2*b. Give i(t(s)).\nAnswer: 48*s**4 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = 4*y + 171. Let u be (-2)\/(-8) + y\/(-20). Solve 7 = w - 5*c, 0 = w + u*c - 8*c - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-667)\/1334*(7\/(-4) - -2). Let q = -14.108 + 14. Which is the second biggest value? (a) -1\/3 (b) q (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t**2 - 2*t - 1. Let f be u(-2). Let s(p) = p**2 - 3*p - 6. Let k be s(5). Suppose f = k*b + 3. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6140.94 - -6141. What is the third smallest value in 4, 144, d?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 4*y - 30, 5*d = -y - 4*y. Suppose d*i - 16 = 4. Suppose -i*v + 3*v + 14 = 0. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 429717024 to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 439947496 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661984 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 1)*(3*h - 3*h - 2*h**3) + h**3 - h**3 + h**3 - 3*h**2 + 1 + 0*h**2 + 4*h**2 - h**3.\nAnswer: 4*h**3 + h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(10\/7)\/c*c*c*c**0\/c*c assuming c is positive.\nAnswer: c**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6856 - -3972. Let k be 1 + 14\/(-10) + f\/515. Let t(p) = -7*p**2 - 7*p - 1. Let c(h) = 11*h**2 + 10*h + 1. Let j(v) = -5*c(v) - 8*t(v). Give j(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from zzbnj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 82?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2772, -5439, -8106, -10773, -13440?\n\"Answer: -2667*r - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2349936087 to the nearest integer?\nAnswer: 48476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 253 + -255. What is the biggest value in 4, 3, y, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201273, 201271, 201269?\nAnswer: 201267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - k - 4. Suppose 4*i = 2*t - 3*t + 14, 0 = i - 4*t - 12. Suppose 4*f + 3*x + 28 = 6, 0 = -i*x - 8. What is d(f)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -13*t**2. Let y(z) = 3*z**2. Let p(a) = -2*d(a) - 9*y(a). Let j(u) be the first derivative of -4*u**3\/3 - 2. Determine j(p(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -72*h + 10. Let g(m) = 7*m - 1. Let i(u) = 10*g(u) + r(u). Let s(w) = -4*w**2 + 17. Calculate i(s(t)).\nAnswer: 8*t**2 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, y: 1, n: 3, a: 2}. Give prob of sequence wawy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 0, 13*z = -2*m + 8*z + 330. Calculate the remainder when m is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1133 - -1133.1438. What is v rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257725*p**2 - 515431*p**2 + 257712*p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 12, x: 5, a: 2}. Give prob of picking 2 a and 2 x.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiiiiiq. Give prob of sequence qiqi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 7*q + 2. Let z be s(-6). Let t(x) be the second derivative of -1\/3*x**3 + 0 - 3\/2*x**2 + 2*x. Give t(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20116.4 times -9?\nAnswer: -181047.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 644 and 1999804?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1276 is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-9))\/((-12)\/((-8)\/2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -54*m - 301. Let y(w) = -2*w - 2. Let o(b) = -j(b) - 4*y(b). List the prime factors of o(22).\nAnswer: 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 4, 1, 421, -4, 9 in decreasing order.\nAnswer: 421, 13, 9, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350*s**2 - 60*s - 345*s**2 + 1073*s**2 + 60*s - 362*s**2.\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-370)\/(-16) + (-4)\/((-936)\/27)*(-780)\/720\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55993763?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -32\/323, -2\/19, -5, 4, -0.1 in ascending order.\nAnswer: -5, -2\/19, -0.1, -32\/323, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 870253 divided by -676\nAnswer: -870253\/676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -22*p - 64. Let s be q(-8). Suppose -17*w = -9*w - s. What is the remainder when 235 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 13*u - 25. Let m be z(-10). Suppose m*w = 9 + 1. Put -0.3, w, 3 in increasing order.\nAnswer: -0.3, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13001 is divided by 59?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100780570.\nAnswer: 2, 5, 11, 916187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of (11349\/(-97))\/(2\/(-84)*2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 divided by 8?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*u - 863 + 10028 = 113*u for u.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62617608 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.087 + -0.113. Which is the nearest to u? (a) 1\/3 (b) 10 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 560 - 446. Calculate the highest common divisor of 513 and p.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9062823 rounded to one dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 845231.5 kilograms?\nAnswer: 845.2315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = n + 1. Suppose -1 = -0*h - h, 8 = 4*v + 4*h. Let a = v + 4. Solve -n = d - a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**2 + 7*j. Let w be p(-2). Suppose 0 = -w*n + 119 + 71. Calculate the remainder when n is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**5\/150 + 2*y**4\/45 + y**3\/15 - 31*y. Let g(w) = 0. Calculate w.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 148*u - 20*u - 30*u + 5*u + 2.\nAnswer: 103*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301333101110 (base 4) to base 9.\nAnswer: -26582535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 948909542 + -948909536.60000047. Let c = 5.4 - v. Round c to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27\/(-3)*(-5)\/15. Let o(y) be the third derivative of 0*y + y**2 + 1\/30*y**6 + 0*y**4 + 0*y**s + 1\/15*y**5 + 0. Find the third derivative of o(v) wrt v.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + sqrt(104) + (3*(1*sqrt(104) + sqrt(104)) + sqrt(104) - sqrt(104)))*6)\/(-6*sqrt(24)\/sqrt(3) - 1*sqrt(72)).\nAnswer: -16*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7388, -59530, -201060, -476672, -931060?\n\"Answer: -7449*k**3 + k + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-3))\/((-4)\/167468) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*m = -20, 4*g = 5*m - 2*m - 20. Let u(r) = 6*r + 7 - r - r. What is u(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 greater than or equal to -11\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-nine halves of a hour?\nAnswer: 52200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/14*2\/(-5)*(-50)\/(-20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 809512*s = -809515*s - 110, 0 = 3*j - 8*s - 310 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10022 + 54375. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, w: 4, s: 7, h: 5}. Give prob of picking 2 v.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 2*s**2 + 7*s - 4. Let o be a(16). Round o to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -109616197 + 3288844943\/30. Let n = 69377\/6 - l. Let d = n + 1243\/3. Do 8 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a16b (base 12) in base 13?\nAnswer: -7c79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*f + 182, 2*f + 110 = 2*p + p. What is the smallest common multiple of 12\/24 + p\/4 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16369\/1230 + 29\/205. Calculate the common denominator of b and 33\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 963782, 963795, 963816, 963845?\nAnswer: 963882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 444 - 395. Let b = -50 + q. Which is bigger: b or 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16 from -117940540449.\nAnswer: -117940540433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/3 + 74\/6. Let s = 41 - i. Calculate the remainder when 86 is divided by s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (31 + -35)) + (-61 + 17 - (-1 - 1)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1543334 at least as big as -1543336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/1619 + 46955\/3238. Let a = 18452 - 1070277\/58. Calculate the common denominator of a and n.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13724, 13617, 13512, 13409?\n\"Answer: x**2 - 110*x + 13833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + (sqrt(343) - (sqrt(343) - (sqrt(343) + 1)))*-4)*2 + 4 - ((sqrt(196)\/sqrt(16))\/sqrt(7) - (sqrt(112)*6 - (sqrt(56)*1)\/sqrt(8)))**2.\nAnswer: -14191\/4 - 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 871 is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -1223*g**6\/120 + 3*g**5\/20 - 21*g**3\/2 - 290*g**2. Find the third derivative of b(x) wrt x.\nAnswer: -7338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1901 is divided by 488?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 15514 to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/90*-5)\/(16\/24)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 64 - a7373?\nAnswer: -a730a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*f*w**2 + f*w - 1654087*f - 4359*w**2 wrt w?\nAnswer: -14*f*w + f - 8718*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a - 26099 + 26099.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498 = 2*h + 4*m, -429 - 104 = -2*h + 3*m. Is 37 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 228*o + 21*o**3 - 525*o + 250*o + 2*o**2 + (-5 + 5 + 1)*(-3*o**3 - 3*o**3 + 7*o**3) in the form n*o**3 + x*o**2 + j + k*o and give k.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*v - 13*v - 1058. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/((-24)\/(-1)))\/((52\/1)\/13).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16716 (base 12) to base 7\nAnswer: -162450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -128.956 - -129. Let u = -0.256 - r. Let p = -1 + 1. What is the closest to 1\/3 in u, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*j**2 - 2*b*j*x - 10*b*j - 3*b*x**2 - 2*j**2*x**2 wrt x?\nAnswer: -6*b - 4*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 40440071.75 to the nearest 100000.\nAnswer: 40400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -224*a + 63. Let n = 24 - 20. Let g(t) = 14*t - 4. Let o(x) = n*d(x) + 63*g(x). Let c(k) = -3*k**2 + 0*k**2 + 4*k**2. What is o(c(s))?\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (44\/10)\/(153\/30 + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 - 3) + (9 - -11) is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*p + 16\/11 - 34\/11*p**2.\nAnswer: -2*(p - 4)*(17*p + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5361211 to the nearest integer?\nAnswer: 2315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2846 rounded to 2 decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m + 3*m + m)*(4 - 4 + m**2) + 0*m - 15*m**3 + 0*m + m**3 + 3*m**3 - 3*m**3 - 6*m**3 - 5*m**3 - 2*m**3 to d + s*m + b*m**3 + w*m**2 and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2*b + 2*b)*(-5 + 5 + b)*(-2 + 0 - 9).\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 178eb (base 15) in base 2?\nAnswer: 10010100111101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*b**2*k*u - b**2*k + 11*b**2 - 29263*b*k*u - 76*b*k - 8 wrt u?\nAnswer: -4*b**2*k - 29263*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of p*q*r**2 + 382*p*q*r - 2*p*r**2 - 15*p + 27*q - 2*r wrt r?\nAnswer: 2*p*q*r + 382*p*q - 4*p*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c + 32*c = 5*m - 9, 4*c - 27 = -m. Sort m, -4, 0, 2, -43.\nAnswer: -43, -4, 0, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 2520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*d - 3*a - 20 - 13 + 14, 4*a + 22 = 3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-3 + -16 + -4)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00093599 rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6122 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 575653? (a) 0 (b) 1\/3 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2. Let k(v) = 0*v + 160*v**2 - 321*v**2 + 3*v + 152*v**2. Calculate m(k(h)).\nAnswer: -162*h**4 + 108*h**3 - 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + 5 + 5 + 3*sqrt(363))*6 + 4)*-4)**2.\nAnswer: 329472*sqrt(3) + 1925056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*h**3*z + 361*h**2*z + 2*h**2 + 21404*h*z wrt h?\nAnswer: -30*h*z + 722*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + a162d?\nAnswer: a162b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - 1*(-4 + 4). Let g be 2*(-1)\/(-2)*5. Suppose -5*n + g*h + 45 = 0, 3*n = -n - h + 51. What is the greatest common factor of y and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-180)\/(-48) + (-2)\/(-8). Let x(b) = 21*b**2 - 2*b + 1. Let p be x(1). Solve a + y*a - p = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -81548*f**3 + 2*f**2 - 18*f + 13. Is k(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466 is divided by (-34)\/(-2) - (-7 + 11) - 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -1. Let y(f) = -f - 3. Calculate the least common multiple of -1 + -2*k\/(-8)*2 and y(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.2 - 1.2. Let j = 36.8445446 - 44.844546. Let t = j + d. What is t rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 8*s**2 - 9*s + 3. Is o(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.928 + -464.928. Let r = t - -348. Is -2 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.4, 10, -32 in increasing order.\nAnswer: -32, -5, -0.4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -570356034 * -0.2\nAnswer: 114071206.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 43\/8 - 42\/112. Suppose 1598 = d*b + 12*b. Is 22 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287498 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**4\/12 + 13*k**3\/3 - 553*k**2. Let g(f) = -131 + 3*f**2 + 131 + 0*f**2. Calculate g(o(h)).\nAnswer: 12*h**2 - 312*h + 2028","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/12)\/(175\/28). Suppose -p + 5*r + 9 = 0, 2*r = -p - 0*r - 5. Is p <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 111930*p**4 + 196*p**2 + 279.\nAnswer: 2686320*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92*1.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.000008 + 9. Round r to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 + 0*s + 0*s + (4*s - 4*s - s)*(s**2 - 7*s**2 + 3*s**2).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18171 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 1. Let i(g) = 2*g - 15. Give 2*i(q) + 6*p(q).\nAnswer: -2*q - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84570.\nAnswer: 2, 3, 5, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 197373990 to the power of 1\/3, to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyctt. What is prob of picking 1 y and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, y: 2, x: 1, k: 2, g: 5}. Give prob of picking 3 b and 1 x.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 23?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 327146 divided by 327146?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, f: 1, h: 5, a: 3}. What is prob of picking 1 a and 3 l?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/5*(85745520\/(-1344))\/477?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5a745 - -2?\nAnswer: 5a747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5616785142?\nAnswer: 2, 3, 17, 233, 78779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 - 9 - 1000)\/(3 - 5) is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54065 less than 54060?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -562752 by 140688.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**4\/12 - b**3\/3 + 6*b**2. Let p(v) = v + 1. Let g(x) = 3*f(x) + 5*p(x). Let n(i) = -6*i - 3. Give 4*g(j) - n(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*4*10\/(-50)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (-6 - -14) - (-4 + 0 + -57) - 1?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 26.2. Let z = 0.2 + q. Suppose 0 = -4*d + d. Which is the closest to -0.2? (a) d (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**5\/20 + j**4\/3 - 5*j**3\/6 + 3*j**2 + 139*j. Determine w(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v + 56 = 186. What is the lowest common multiple of v and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*r - 13*r - 26*r)*(-r**2 - 2*r**3 + 3*r**2 + 3*r**3).\nAnswer: -29*r**4 - 58*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.5 + 3. Let c = 1.59 + b. Let n = 0.091 - c. What is n rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/4 + -1)*(-172)\/473?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 2\/9, 3.64?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1*sqrt(153)*-3 - sqrt(153)*3*4)\/((-1*1*sqrt(324) + sqrt(324) + sqrt(324))*4))**2.\nAnswer: 105\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b8 + 2d5b?\nAnswer: 2b83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2254140.\nAnswer: 2, 3, 5, 7, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -136, -134, -122, -94, -44, 34, 146?\n\"Answer: o**3 - o**2 - 2*o - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 566874.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -452*u**2 - 1176*u**3 - 334*u**2 + 2*u**4 + 15*u**3 - 1352*u**2 wrt u?\nAnswer: 48*u - 6966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/(j**0*j))\/j*j))**(2\/31)\/(j\/(j**(1\/6)\/j*j)*j\/j**5) assuming j is positive.\nAnswer: j**(601\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -570666922 or -570666921?\nAnswer: -570666922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1863 - 778. Calculate the least common multiple of 28 and o.\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119 and 6265?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-18))\/(14\/21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/10*0)\/((-4)\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/6))**(-2\/41))**(1\/5) assuming d is positive.\nAnswer: d**(1\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1080 by 216.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*n**2*p - n**2*r + n**2 + 2*n*r - 2*p*r + p + 283*r - 7 wrt r.\nAnswer: -n**2 + 2*n - 2*p + 283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 920356850 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 1:03 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*i = -58*i + 28. What is the hundreds digit of 225 - (i\/7 + (-648)\/189)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.49 - 0.91. Let i = -9.4 - y. What is the nearest to i in -3, -1, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 249 by -5879.\nAnswer: -249\/5879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37703 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 2:16 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.537, -3, -9, 4\/237, -0.1 in descending order.\nAnswer: 0.537, 4\/237, -0.1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -38. Solve 0 = k*z + 3*j - j + 14, -6 = -2*j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1dc + -e3?\nAnswer: e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 3*q + q + (-4*q + q + q)*(1 - 2 + 0))*(2*q - 3*q + 3*q)*(-33*q**3 + 8*q**3 - 9*q**3).\nAnswer: -340*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2 + 352*k**3 - 687*k**3 to c*k**2 + f*k**3 + y + v*k and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -9*d**3 - d**2 - d. Suppose 44*k = 49*k + 30. Let s be (k\/7)\/1 + 2\/(-14). Is c(s) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.2. Let w = 0.05 - -0.05. Which is the closest to d? (a) -5 (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371993?\nAnswer: 41, 43, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 31\/2 (b) -3 (c) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66576 divided by 16.\nAnswer: 4161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 0 + 0 - 1 + 6*u**3 - 3*u**3 + 2*u. Let h be n(1). Suppose w = 5*w + h. Sort w, 0, 1 in descending order.\nAnswer: 1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*p - 14*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 8 - 2*f - 2.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2374281 or -2374284?\nAnswer: -2374284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (67*y - 26*y - 33*y + 19)*(-1 - 2*y**2 + 1) - 4*y**3 - 4*y**3 - 4*y**3 in the form a*y**2 + l*y**3 + u + d*y and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 4, 4*l - 49*b = -54*b + 18 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**8\/168 - v**6\/60 + v**2\/2 - v. Let q(b) be the first derivative of t(b). Suppose q(o) = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1 (b) 4 (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9996338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155226 is divided by 346.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.25 - 0.75. What is the closest to k in 1\/3, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1519 and -0.348.\nAnswer: -528.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x**2 - x + 8788. Let c(j) = -9*j**2 - 3*j + 17577. Let i(o) = 3*c(o) - 5*g(o). Is i(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 1:22 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)*-4 + 4)*-6)**2 + ((sqrt(42)\/sqrt(2) - sqrt(21))*3 + sqrt(21))\/(sqrt(36)\/sqrt(192)).\nAnswer: -5756*sqrt(7) + 101376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -s - 17, -2*s = -3*f - 6*s - 2. Let r = -26 - -30. Find the second derivative of -f*y**3 - y**3 + r*y**3 + 3*y wrt y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 18 = -4*l, 3*z + 4*l - 6 = -19 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/(2\/(-12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*n**5 - 66*n**4 - 1121*n**2 - 76*n**5 + 219*n**5 - 75*n**5 wrt n.\nAnswer: 300*n**2 - 1584*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -6. Let h = 8 + -8. Suppose 3*o + 3 - 123 = h. Calculate the highest common factor of q and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 2:38 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 0, 8, 23 in ascending order.\nAnswer: -1, 0, 4, 8, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*q**4 + 162*q**5 - 8*q - 323*q**5 + 39*q**3 + 164*q**5 + 20*q + 36*q**2 = 0. Calculate q.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 6858893?\nAnswer: 6858895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -837b + -1364?\nAnswer: -9723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 181 = g - 755, -768 = -4*n - 2*g. Let f = 190 - n. Suppose m = 4*k + 10, 4*m = -k + 6*k + 18. Solve f = -2*l - m + 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/1134*30*3)\/((-10)\/300)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, i: 1, p: 1, b: 2, q: 1, s: 2}. What is prob of sequence bb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 27*z + 6. Let k be o(-26). Calculate the greatest common factor of 32 and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27c (base 13) in base 11?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(57)\/sqrt(3) + -1 - sqrt(1216)*1))**2 + (-4*(sqrt(1539) + -2 - sqrt(1539)) + (-2 + sqrt(1539))*3)**2.\nAnswer: 122*sqrt(19) + 14787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 370815552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 85.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8191*q**2 - 4. Let m(b) = 1045*b. Determine m(g(f)).\nAnswer: 8559595*f**2 - 4180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*d - 66*d + 3964 + 3098 = 0 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -25, 356, 4, -3 in descending order.\nAnswer: 356, 4, 1, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 - 29. Let v be ((-112)\/a - -6)\/((-1)\/18). Let u be v\/9 - 430\/(-30). Solve -3 = 2*k + g - u, -k + 12 = 4*g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 884121000 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40.5 + 55. Let s = 4.6 + -16.2. Let v = g + s. Round v to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 24*q - 4525 - 13*q + 4525.\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (220\/50)\/(14\/735)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6*x - 34. Let z be i(-6). Suppose j + 112 = 5*t - z*j, -3*t + 56 = j. Differentiate -t*v**3 - 7 + 10 - 10 - 19 wrt v.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2 - 9713478*n = 0 for n.\nAnswer: 0, 9713478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 94 and -7?\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 184642 or -403?\nAnswer: 184642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.041, 39, -1, -2.\nAnswer: -2, -1, -0.041, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1971*t**6 - 803*t**2?\nAnswer: -236520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/3*(-12)\/(-3)*-62*24\/128?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -497818 by -18.\nAnswer: 248909\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 812.\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4150369 is divided by 129699.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -16. Put f, -1, 6 in descending order.\nAnswer: 6, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/15, 1, -6, 0.7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.11449267 - -13.81451127. Let i = 12.7 - a. What is i rounded to six decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*x = 726. Suppose 86 + 2 = 4*i. What is the greatest common divisor of i and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from {j: 1, k: 1, i: 1, t: 3, c: 5}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -8*y**2. Let p(t) be the first derivative of -2*t**3\/3 - 5*t - 2. Let u(z) = -z**2 - 3. Let f(g) = 3*p(g) - 5*u(g). Give f(a(c)).\nAnswer: -64*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -407.278 + -1598332?\nAnswer: -1598739.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156835531 to the nearest integer?\nAnswer: 12523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m**3 + m**2 - 1. Suppose -j + 5 = 2*f, 0 = 5*j + 4*f - 23 - 8. Let p(w) = 9*w - 4*w - w**2 - 5*w + 1 - 8*w**3. What is j*x(i) + 6*p(i)?\nAnswer: i**3 + i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.95 + -0.05. Let z be (-6 + -2)*((-20)\/5)\/(-4). Let n be ((0 - 2)*-3)\/(z\/(-4)). Which is the closest to n? (a) -2\/5 (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 + 3*a + 4. Let c be (2 - (-20)\/(-12))\/((-1)\/(-9)). Calculate q(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k - 1. Let a(u) be the third derivative of 0 - 3*u**2 + 0*u + 2\/3*u**3 + 1\/24*u**4. Let g be a(-6). Give j(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 20*m**2 - 1749*m - 44447. Give a(-24).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 4*j - 6 = 0, 5*h - 252864*j = -252866*j + 27 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -63115 and 78.\nAnswer: -4922970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrqllrlrrqllrqydq. What is prob of sequence ydrr?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 268295, 268327, 268353, 268373, 268387?\n\"Answer: -3*p**2 + 41*p + 268257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 1)*(2 + 1 + t - 1 + (1 - 3 + 3)*(-2*t + t + 0*t) + 2*t + 5 - 5).\nAnswer: -8*t - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4976 - 2311 - 972 - 1860 + 272)*(t**2 - t**3 - t**2).\nAnswer: 9847*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 33. Let s(j) = 15*j**2 - 4. Let f(g) = 57*g**2 - 15. Let c(l) = 4*f(l) - 15*s(l). Give d(c(b)).\nAnswer: -3*b**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3243244404 (base 5) in base 14?\nAnswer: d06602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/312*3 + 14152\/4524.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1535*q - 20 = 1540*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -3*t**5\/20 - 4*t**4\/3 - 19*t**3\/6 - 192*t. Is 5 a factor of l(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-6)*g\/g**(-3\/11))\/(g*g**(-5)\/g*g*g*g*g**(-5)) assuming g is positive.\nAnswer: g**(168\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2 + -1)\/(-9 + 189\/18))\/6. Which is the second biggest value? (a) k (b) 0.3 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 74*v**2 + 2792*v + 193433. Determine r(-78).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1714 = 5*u, -4*c + 399 = 3*u - 643. What is the remainder when u is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*h + 27. Suppose -9*a = -200 - h. Calculate the remainder when (-4)\/8*6 - -91 is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 13, 1, 263, 0 in decreasing order.\nAnswer: 263, 13, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4905 by -1635.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3459871?\nAnswer: 1607, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/41 and -33\/16.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + -2 + 11 + -10. Let h be 2\/(6*u\/(-195)). What is the highest common factor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437125 + 192179 = -6051*v for v.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 - (3 + -16) - 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -350*v**3 + 3*v**2 - 4*v wrt v.\nAnswer: -2100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c - 1595 = -302*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1112*w**3 + 27*w**2 + 9. Let m(o) = 278*o**3 - 6*o**2 - 2. Give 18*m(z) + 4*x(z).\nAnswer: 556*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(200) + 5)**2*6 + sqrt(2)*2*-3 + -5 + sqrt(2)*2 + sqrt(2) + -5.\nAnswer: 597*sqrt(2) + 1340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.045 + 0.005. Let m(b) = b**3 - 11*b**2 + 11*b - 12. Let n be m(10). Let u be (-6)\/(-3)*n\/(-38). Does d = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173432 divided by -1?\nAnswer: -173432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = k - 8 - 12, 0 = 3*x + 2*k - 15. Let i = -16 - -18. Suppose 3*n - 37 = -2*d - 0*d, -2*d = i. Calculate the remainder when n is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*o**2 - 18*o**3 + 128*o**2 + 15*o**3 - 250*o**2.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**5\/3 - 8252*h**4\/3 - 316148*h**3\/3 + 3747012*h**2 - 7166880*h + 3528000 = 0.\nAnswer: -60, 1, 21, 2100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/24)\/(38 + 6413\/(-176)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -2.9, -0.3 in decreasing order.\nAnswer: 0.02, -0.3, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2817*l**2 + 6*l - 2. Does 53 divide h(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 7*c**2 - 3*c**2 - c**3 - 4*c**2.\nAnswer: -c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 335548575, 671097148, 1006645721, 1342194294, 1677742867?\nAnswer: 2013291440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 22*z + 120. Let x(f) = -f**3 - 4*f**2 + 3*f - 2. Give x(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*sqrt(1573))**2.\nAnswer: 44*sqrt(13) + 6293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(16)\/(sqrt(8)*-1))**2 + (3*(-1 + sqrt(200) - sqrt(200)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331)*2 + -1.\nAnswer: -1 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.301, 2\/13 in descending order.\nAnswer: 2\/13, 0, -0.301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 837309 + -837309.8000016. Let c = j + 0.8. What is c rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253915 is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 9*u**2 - 9*u + 6. Let t be k(-10). Let v(g) = -g**3 - 7*g**2 - 5*g. Let q be v(t). Does 13 divide 8\/q + (-93)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*k = 1120241 - 1118837 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*b + 14. Let m(l) = -10*l**2 + 5*l - 3. Let q be m(1). Let j be (-4 - q - 2)\/(1\/2). Solve -j*k = t - 11, b*t - t = k + 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 739*k**3 + 34728*k**2 - 111085*k + 750 = 0. What is k?\nAnswer: -50, 5\/739, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**5\/20 - 3*v**4\/4 - 3*v**3\/2 - 4*v**2 - 10*v + 2. Suppose 3*b - 32 = 7*b. Let l be t(b). Solve l = i + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -339\/14 - -166\/7. What is the nearest to 1 in -1, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 8*h**2 + 6*h + 12. Suppose d - 2 = 5. Let r be p(d). Solve z + 0*z - r = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 36*a**2 + 71*a + 16. Let s be b(-2). Solve -s*c - 41 = -23 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 11:32 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 451 (base 12) to base 5.\nAnswer: 10022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3269098 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 530 and 10240.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1859.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 7. Let s be 64\/(-24)*(-93)\/a. Let i be (1 + s - -1)*7. Round i to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(17) + 0)**2 - ((((sqrt(17) + -1 + sqrt(17))*-6)**2 - sqrt(17)) + 3).\nAnswer: -2461 + 139*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 529382 divided by -14\nAnswer: -37813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**6\/540 - o**5\/54 + 7*o**4\/108 - o**3\/9 + o**2 - 5. Let c(t) be the second derivative of u(t). Let c(b) = 0. What is b?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 8:39 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-10))\/(3\/50). Suppose 0 = -v - d + 98. Suppose -3*q = -5*c - 33 - 41, v = 5*q + 3*c. Calculate the least common multiple of 6 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -261 - -1823\/7. Let m = -1405 + 1410. Which is the closest to 0.2? (a) j (b) -2\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-9 - -2)) + (-2 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40445 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*s + 20. Let i = -0.06 - 0.34. Let c = 0 - -1. What is the third smallest value in s, c, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 + -41.92. Let l = h + -1. Let q = 0.38 - l. Which is the smallest value? (a) -4 (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 7*t + 4. Let u be f(-6). Let l = 0 - -0.4. What is the second smallest value in 2, u, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - o. Let c be k(1). Suppose d + v - 106 = 212, 5*d - 4*v - 1545 = c. List the prime factors of d.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*n**2 - 3853 + 7703 + 73*n**2 - 3850.\nAnswer: 91*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12 + 8)\/(-4) - -2. Solve -2*u - p*u = -o - 7, -4*o = -u + 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -17\/13 (c) -2\/3 (d) -9 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*v + 3 - 9 = 0, 0 = -3*v - 9. Solve g = -b*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -3303442021?\nAnswer: -3303442011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -175 and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020101000 + -2000?\nAnswer: -1020110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqqqjjq. Give prob of picking 2 q.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1423, -2812, -4193, -5566?\nAnswer: -6931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001985694 to six decimal places.\nAnswer: -0.000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 12*u**2 + 11*u + 7. Let a be h(-11). Suppose -5*m - 3 = a. Suppose -3*r + 3*v + 2 + 4 = 0, -3*r - 4*v = 29. Put m, 4, r in descending order.\nAnswer: 4, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**6\/60 - 5*v**4\/24 - 5*v**3\/6 + 17*v**2. What is the tens digit of n(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7075 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23228184 to 2 dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 19. Suppose -b*z + 0*z - 13 = -5*j, -3*z - 9 = 3*j. Calculate the remainder when 1 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + 2*o**2 - 2*o - 1. Give b(3).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5964*l + 21 = -5960*l - 9*i, -i + 5 = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -37?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g**4 + g**3 + 8*g**4 + 3*g**2 - 3*g**4)*(g + g - g) - 3*g**5 + 2*g**5 - 8*g**5.\nAnswer: -11*g**5 + g**4 + 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*p - 77 - 579 = 0 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 231 and 1232.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -253850 + 253854. Let q be 105\/9 + 1\/3. What is the third biggest value in v, q, 8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-30))\/(1020\/(-450)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (3 - 0 - 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 780708, -72, -2 in ascending order.\nAnswer: -72, -2, 780708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3 = -7. Let a be r\/8*2*2. Let q(k) = 13*k**2 - 5*k + 13. Let s(l) = 3*l**2 - l + 3. Let c(o) = 2*q(o) - 9*s(o). Determine c(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2695, -5355, -8015, -10675, -13335?\n\"Answer: -2660*p - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -16*o**7\/35 + o**6\/60 + 13*o**5\/60 - 149*o**2. What is the third derivative of p(v) wrt v?\nAnswer: -2304*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95790 (base 13) to base 4.\nAnswer: 1001300112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -6*d**6\/7 - 312*d**5\/35 + 233*d**4\/7 + 8*d**3\/21 - 424*d**2\/7 + 352*d\/7 - 1182. Determine b so that p(b) = 0.\nAnswer: -11, -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) -123\/4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -22. Let i(q) = -19*q - 12. Let l(p) = -56*p - 35. Let v(t) = s*i(t) - 6*l(t). Differentiate v(d) wrt d.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/168*(-3)\/(-2). Let z(d) = -d - 10. Let r be z(-15). Suppose r*t + 2*u = -2, 2*t = 6*t + 4*u + 4. Which is the closest to t? (a) n (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -172952\/27 bigger than -6406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0239 - -120.8239. Let l = 24.2 + f. Let x = -145.87 + l. What is x rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27286142*x + 27286142*x - 3*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 2*w + 6 - 1\/3*w**3 + 2*w**2. Give l(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**4 - 4010*o**3 + 32325*o**2 - 60750*o = 0.\nAnswer: -810, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 10:22 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b = -44*b - 70 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 50 + 54 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -397*v**5 + 3*v**5 - 7923*v + 8015*v - 4*v**2 wrt v.\nAnswer: -23640*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 2*s**2 + 2*s - 2. Let i be (-2)\/(-1 + 2) + 9. Suppose 4*g - 18 = -3*c, -2*c + 3*g - i = -c. List the prime factors of u(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 8 + (1 - 6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27.7947097 - -27.796. Round z to 5 dps.\nAnswer: 0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*x - 2, -19*b + 2 = -3*x - 17*b. Let p(z) be the second derivative of 13*z + x - 125\/2*z**2 - 5\/12*z**4 + 25\/3*z**3. Factor p(c).\nAnswer: -5*(c - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3)*-6 + -3. Suppose 2*d = 17 + z. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**3 + d**2 - 12*d. Let v(z) = -12*z**3 + 1530*z**2 + 87*z. What is -7*n(w) - v(w)?\nAnswer: -2*w**3 - 1537*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-12) + (-368)\/(-96) - 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/4 - 13*v**2\/4 - 29*v\/4 - 15\/4 = 0 for v.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 - 2*z + 7 + (-2 - 2 + 2)*(3*z - 2*z - 2*z) - 3*z + 2*z + 3*z - 4*z + 3*z + 0*z + z + z - z - 122 + 125 + 299*z - 5 + z + 0*z + z.\nAnswer: 303*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-24)*-27*3\/270\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*a + 6*a - 18*a - 40*a**3 wrt a.\nAnswer: -240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -412*o**2 + 1. Let x(h) = 65*h. Calculate x(f(b)).\nAnswer: -26780*b**2 + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 1)*(-58*z + 105*z**2 + 513*z**2 + 58*z).\nAnswer: 1236*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.123 rounded to 1 decimal place?\nAnswer: 37.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/23)\/(l**(-1\/3)*l)*(l\/l**0)**(-5\/2) assuming l is positive.\nAnswer: l**(-425\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5838024?\nAnswer: 2, 3, 43, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -21. Let g = 2 + a. Let m = 4 - g. What is the highest common factor of m and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 12*k**2 + 15*k**2 + 20*k**2 + 18*k**2 - 61*k**2. Let b(t) = -114*t**2. Give b(w(u)).\nAnswer: -1824*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 2*b + 4, 4*i = -b + 14. Let x = 6 - i. Suppose 12 = -5*g + 4*w, x*g - 4*g + 5*w = -6. Put g, 0, 7 in ascending order.\nAnswer: g, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 377684 and -5.\nAnswer: -1888420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/3 + 327307064*u\/3 + 13391239268037512\/3.\nAnswer: 2*(u + 81826766)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 205\/(-287) + 225\/21. Does 45\/4 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1222469, -1222467, -1222465, -1222463, -1222461?\n\"Answer: 2*t - 1222471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 28 = 87, -154*s + 4*x + 147 = -143*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -15.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*k + 2 + 8 = 0, -2*u = 3*k - 26. Solve -3*p + 0*w - w = 17, 0 = -4*p - u*w - 36 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 255844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**4\/6 - 119*k. Let m(l) = -2*l - 9. Give p(m(y)).\nAnswer: -8*y**2 - 72*y - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 3a3e?\nAnswer: 3a40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2690*l**2\/7 + 2334916*l\/7 - 496 = 0.\nAnswer: -868, 2\/1345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (1 - (-4 - 6 - -4))) + 11\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.032 in 2, -0.05, -6\/7, -3\/2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*m - 259 = 93*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(3 - 4 + 3)*(6 + 8*o - 3 - 4).\nAnswer: -48*o + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -711.05 - -711. Which is the smallest value? (a) n (b) -0.3 (c) -5\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6*f)**(1\/5) assuming f is positive.\nAnswer: f**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1343?\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/2*(-7)\/14. Which is smaller: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5082 divided by -26429.\nAnswer: -5082\/26429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*o + 1353042 = 1352706 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p*p**(2\/5))\/p))\/p**5*p**1\/p**3)\/(p**(2\/11)\/(p**(-2\/9)\/p)*(p**0)**(3\/23)) assuming p is positive.\nAnswer: p**(-4358\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-126)\/(0 - 6))\/1. Suppose 5*z + r*z = 28886. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91)\/39*(-60)\/490?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7314502cm to meters.\nAnswer: 0.007314502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 40529*c + 526884. What is o(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/(n**(-14)\/n)))*n)\/(n\/(n*n**(-1\/21)*n*n)))\/((n**(-1\/2)*n)\/n)**(-9\/11) assuming n is positive.\nAnswer: n**(8567\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/(-12)*(-17 - -20). Solve -3*t - 4*k = -h, t - 2*k = -k - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.74 - 89050.817.\nAnswer: -89049.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.992 * 146.7.\nAnswer: 585.6264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - -3 - (-2 + -1). Suppose 0 = 4*h - y*o + 184, 3*h + 5*o = 3*o - 161. Let i = -32 - h. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c + 241*c**3 - 3*c.\nAnswer: 241*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.961 + -0.039. Suppose -5*d + 10 = -0. What is the third biggest value in -2, d, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -983 + 987. Solve -q - 23 = -5*k, q - 25 = -x*k + 4*q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 4*m - 6. Let k(u) = 2*u**2 - 9*u + 8. Let b be k(m). Let n = -10 + b. Calculate the remainder when 47 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*v + 14, -10*v + 5*b = -14*v + 37. Let z be v\/(-14)*21\/(-114). What is the second smallest value in -0.01, z, -3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + 2*w**2 + w + (-w - 3*w + 6*w)*(-5*w - w + 5*w) + 2 - w**2 - 2 - w**2 - 5*w**2 + 3*w**2 in the form m*w**2 + t*w + u and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 2*t - 5. Let k be o(5). Suppose -2*n + 2*l + k = 3*n, n = -4*l + 28. Let z = n - 5\/2. Calculate the common denominator of -91\/12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4410 divided by -6?\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 11)*(-d**5 + d**5 + 2*d**5).\nAnswer: 32*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/2 - -20) + -3. Let f(o) = 18*o + z*o - 40*o. Let u(q) = -8*q**2. Calculate u(f(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524376933.\nAnswer: 3, 107, 1633573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (25 - (-28 + 72))) + (8 - -89).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 129278333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 53, -42\/5, 0.1, 96, -1\/3?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9572.0868 less than -0.002?\nAnswer: -9572.0888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-11)\/(-275))*2\/9. Is b at least as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fb when two letters picked without replacement from unuuwfubb.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*x + j, 3*x + 3 = -j - 2. Let h = -8 + 15. Solve -h*m + 3*m = x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.64 - 6\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)*n*n**6*((n\/(n\/n**(2\/5))*n*n)\/n)**(-1\/8))**(-3\/2) assuming n is positive.\nAnswer: n**(-219\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442724 (base 9) to base 3.\nAnswer: -111102210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 1. Let b(k) = k**2 + 3*k + 3. Give -b(a) - 5*n(a).\nAnswer: -a**2 + 2*a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 431102375 to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 + 74. Suppose -x + 20 = a. Suppose -97 = -3*l + l - a*s, -203 = -4*l - s. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 43 = 19. Let f = r - -47. Solve 4*o + 0*o + f = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - 22\/(-14) - -2. Which is smaller: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000040420953 rounded to 7 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153856.\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**3 + 5*k - 5. Let p(y) = 2*y**3 - 2*y + 2. Give -5*p(g) - 2*q(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 34 (b) 0.4 (c) 2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-26) - (10485\/(-39) + -3). What is the greatest common divisor of 34 and k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/13)\/(6\/(-4))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, 5\/47, 0.5 in ascending order.\nAnswer: -10, -4, 5\/47, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 5. Let d = 1 + b. Is -2*((-114)\/d)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*r - 2*r + 310 = 0, 5*f + 4*r - 1592 = 0. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1640*s**3 + 3 - 6642*s**3 + 44*s + 10 + 22 wrt s.\nAnswer: -30012*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -57*c + 94. What is the remainder when 144 is divided by u(1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377623 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -1 (c) 3\/2 (d) 384 (e) 9\/4 (f) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86 - 8*g**2 + 86)*(0*g**2 + 0*g**2 + 2*g**2 + (g + 5*g - 4*g)*(-3*g + 0*g + g) - 60*g - 448*g - 36177*g**2 + 36175*g**2).\nAnswer: 32*g**4 + 4064*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -13911?\nAnswer: -13911.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 123426720 a multiple of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3 = 3*o, -4 = w + 3*w + 4*o. Let s be (69\/(-24) + 6 - 3)\/((-3)\/(-12)). Which is the second biggest value? (a) s (b) w (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17150 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**1\/j*j)**(9\/5)*((j*(j*j**(-1)\/j*j)\/j)\/j)**(2\/7))\/((j*j**(-1\/4)\/j)**(-16))**(-20\/9) assuming j is positive.\nAnswer: j**(4411\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -115932 (base 14) to base 10\nAnswer: -591768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n - 43 = 22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11756775*n**2*y**2 - 2*n**2*y - 278552*n**2 + 2*n*y wrt y.\nAnswer: -23513550*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3479207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 13915060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -54.\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 323089 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/21)\/(28\/((-51744)\/(-24))).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/13248 and 107\/3312?\nAnswer: 13248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2353, 4954, 8133, 12184, 17401?\nAnswer: 24078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 12*x**2 - 6*x + 5. Let t be a(1). Solve -7*s + 3*o = -t*s - 28, -4*s + 4 = -5*o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t. Let v be a(5). Suppose 3*i = 2*x - 0*i + 11, 33 = 4*x + v*i. Suppose -83 + 83 = 9*y. Solve y*s = x*s + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n + 4. Let s(d) = d**3 + 4*d**2 - 7*d. Let c be s(-5). What is the remainder when 2\/4*(c + n) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 6*z - 3. Let n be t(4). Let a = -2 + n. Suppose -a*y = s + 2*y - 17, 8 = 2*s - 3*y. Let o(l) = -2*l + 10. Give o(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -264, -572, -744, -510, 400?\nAnswer: 2256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -120*y**4 - 2*y**3 + 45764*y**2 - 45956450*y wrt y?\nAnswer: -1440*y**2 - 12*y + 91528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by 5\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 3*p - 5, 3*n + 2*p = -0*p - 4. Suppose 3*r - n = 2*r. Suppose r*a = -1 + 47. Solve -w - 3*l + 18 = 2*w, 2*w + a = 5*l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146, 295, 460, 647, 862, 1111?\nAnswer: 1400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210 + -33?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -319 - -325. Let k be (-6)\/(-9)*(-162)\/(-4). What is g in k*g**4 + g**3 - 69*g**2 - p + 20*g - 10*g**3 - 59*g = 0?\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 614*t*u - 2*u - 159 wrt t?\nAnswer: 614*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4349.931 litres to millilitres.\nAnswer: 4349931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43585 or 43608?\nAnswer: 43608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952172 is divided by 2005?\nAnswer: 1802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5815 - 16889\/3. Let s = h + -186. What is the biggest value in -3\/7, -7, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + 0*o**2 - 3*o**4 + (-3 - 2*o**4 + 3)*(0 - 3 + 7) + (o**3 - o**3 + o**3)*(o + 3*o - 3*o)*(8 + 2 + 2).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, u: 3, p: 6, a: 1}. What is prob of picking 1 p and 1 a?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0335522 to four decimal places.\nAnswer: 0.0336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147764 and 671908.\nAnswer: 2788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -519*r - 17*r**3 + 537*r - 2*r**3 wrt r.\nAnswer: -114*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14436338.\nAnswer: 2, 7, 983, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 12:54 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -360, -465, -640, -885?\nAnswer: -1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -187 + 0. Let y = q + 205.4. What is y rounded to 0 decimal places?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 89.3528 and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1064.3685\nAnswer: 1065.3685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**3*r)\/r**(-9))\/((r**(-2\/11)\/r)\/r**22) assuming r is positive.\nAnswer: r**(409\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -16, 3\/34 in increasing order.\nAnswer: -16, 3\/34, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2173, 2171, 2169, 2167?\n\"Answer: -2*b + 2175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3368*z**2 + 19876*z - 1992 = 0.\nAnswer: -6, 83\/842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (20 - 10)) + 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.13, -0.2, 0.08, -3, -17\/4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-184)\/(-56) + (-12)\/4. What is the closest to 30 in z, 0.2, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 41\/1593922 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.1, 0.2, 5, -42061 in decreasing order.\nAnswer: 5, 1, 0.2, -0.1, -42061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x. Let o(g) = -2*g + 2. Let k(n) = -o(n) - 3*p(n). Calculate the remainder when 13 - (-2)\/((-4)\/6) is divided by k(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 7*g**2 + 7*g + 11. Suppose -5*x + 28 = -3*y, 0*x + x = 4*y + 26. Let v be b(y). Solve -5*t = 2*c - 21, 0*t - 25 = -v*t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/4392 and -47\/40.\nAnswer: 21960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/8 + 2)\/((-6647)\/2312). What is the nearest to 3 in s, -9, -0.1, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(8 + -5) - -5. Solve 3*r - 3*p = k*p + 6, 2*r + 21 = -5*p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2383164437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*k + 259, 6*k - 3*r - 253 = 4*k. Calculate the remainder when k is divided by 41.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2506\/11 + -228. Let t be 4\/3*(-1)\/(-2). Let s = 62 - 249\/4. Which is the closest to s? (a) m (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 10381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*b = 45*b + 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 867107685 to the nearest integer?\nAnswer: 29447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*m**3 + m**3 - 3*m**3)*(-10*m + 25*m - 48*m) in the form o*m + w*m**3 + h + a*m**2 + t*m**4 and give t.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, o: 7, j: 5}. What is prob of picking 1 j, 1 p, and 1 o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 - (-5)\/(-2). Is 17 a factor of k - (37 + 0)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4851163.\nAnswer: 4851163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113 + -119. Is 32 a factor of 187 - (-1)\/2*y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -869424283*x**2 + 30593*x - 2519.\nAnswer: -1738848566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 975604 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 55 = -5*a, -2*a - 462 = 2*g - 492. Solve 0 = -u - 3*l - 6, 0 = -3*u - 7*l + a*l + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (38 + -52 - 11) + 44\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 2*a + 10 = 0, -4*a - 16 = 818046*z - 818045*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 21.512, -8, -2 in decreasing order.\nAnswer: 21.512, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1453 divided by -18?\nAnswer: 1453\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(512)*3 - sqrt(8))\/(3*sqrt(100)) + 2*-4*(sqrt(2)*2)**2*2*4.\nAnswer: -512 + 23*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**4 + 3*c**4 + 4*c**4 + (2*c**3 - 3*c**3 - c**3)*(-3*c - c + 2*c) + (2*c - 2*c**3 - 2*c)*(5*c + c - 3*c) + 1 - 2*c**4 - 1.\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15dbd41 (base 14) to base 8.\nAnswer: 51005605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(1\/3))**(-2\/17)\/(((v*v**(2\/15))\/v)\/v**0))**(-19\/2))**(-13) assuming v is positive.\nAnswer: v**(-5434\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2124 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 13*v - 9*v - 1810, -2*v = -2*n + 3570. What are the prime factors of n?\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igg when three letters picked without replacement from iigggiggggigig?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from {v: 1, x: 5, g: 1, t: 1, i: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 351270859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-5894)\/6)\/(((-153)\/27)\/17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 14. What is the second derivative of -2*t + z*t - 5*t**3 - 3*t - 4*t wrt t?\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 30*o**2 - o + 8. Is y(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11\/(-44))\/(5\/220). Let u(f) = -5*f**3 - 11*f**2 + 11*f - 11. Let b(l) = 2*l**3 + 4*l**2 - 4*l + 4. Calculate y*b(j) - 4*u(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -90*v + 1117 + 83 + 1050. Solve -l + 20 = v, -4*l - 19 = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -13. Let w = 15 - 8. Suppose w = 6*n - 5. Calculate the smallest common multiple of g and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 70*k**2 + 99*k - 1951. Determine x(71).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 1 + 2)*(0 + j + 0) + 1404 - 1404 + 31*j + (-1 + 1 - 2*j)*(3 - 1 + 0))*(-1 + j + 1) in the form h*j**2 + k + t*j and give h.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 32 + -26 - -22?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 408*c - 72. List the prime factors of k(5).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 19 = -5*z, -3*p + 713 = 21*z + 779 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8\/40*(-5)\/5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98190.61 seconds in milliseconds?\nAnswer: 98190610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 26*z + 23. Let j(w) = -28*w - 24. Let a(s) = 2*h(s) + 3*j(s). Differentiate a(q) with respect to q.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8478106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**5\/40 - m**4\/12 + m**3\/12 - m - 3. Let v(z) be the first derivative of q(z). Factor v(a).\nAnswer: a*(a - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 49. Let b be 7\/n + (-2)\/8. Solve 2*m + b*c = -5*c + 21, 0 = -3*m - 5*c + 24 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1083495 or -1083528?\nAnswer: -1083528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 5. Suppose -3*a + 7*a - 8 = r. Suppose -a + 22 = 5*g. Solve -3*y - 2 = g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2165 = 88*h - 10085. Which is smaller: h or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/1255 in 0, -0.04, -0.5, 301?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**3 + 2*c**3 - c**3 + (-2 + 0 + 1)*(104*c**3 - 43*c**3 - 195*c**3)*(3 - 5 + 0) as s*c**2 + d*c**3 + n*c + g and give d.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 2\/5 (c) 812\/65 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1581.03408 to one dp.\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 7:42 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4*60\/(-35)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -19*j**2 + 218*j - 46. What is the lowest common multiple of f(6) and 142?\nAnswer: 41038","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70 (base 15) to base 7.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 27*o**3 - 16*o**2 - 20*o - 50. Let z(i) = -5*i**3 + 3*i**2 + 4*i + 10. Let k(u) = -2*q(u) - 11*z(u). Calculate k(5).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufnfffnfn. What is prob of picking 1 n and 1 f?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218363.\nAnswer: 218363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -277036490828164.\nAnswer: -277036490828165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258465, 516933, 775401, 1033869?\nAnswer: 1292337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3359201\/63 + 53322. Let i = 633137\/63 + -10049. Find the common denominator of a and i.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 23056*a**2 - 16. Let c be o(6). What is c rounded to the nearest ten thousand?\nAnswer: 830000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 270\/(-21) - (-4)\/(-84)*3. What is the least common multiple of 36 and 10\/(-10) - g\/1?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -6*u + 1810. Let r = u - 176. Solve 3*x = -5*v + 13, -3*x + 5*v - r = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 13*i**2 + 19*i + 2. Give q(15).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -617*d**3 + 4*d**2 - 47*d wrt d?\nAnswer: -3702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 1, y: 3, j: 6, v: 2}. What is prob of sequence jz?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 6, 5, -4, 3 in decreasing order.\nAnswer: 6, 5, 3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 1509?\nAnswer: -1508.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 56 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 8 - (99\/(-15))\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 310342 (base 5) to base 2\nAnswer: 10011101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.97669878 rounded to 2 decimal places?\nAnswer: -0.98","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 + 0*j**3 + 0*j**3 + (-8 + 11 + 3)*(2*j**3 - j**3 - 4*j**3).\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, 1\/3, 4, -79, 1.1, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s - 1. Let q be y(-3). Suppose -q + 20 = 5*h. Suppose -3*u - h = -2*u. Which is bigger: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149737727 to the power of 1\/2, to the nearest integer?\nAnswer: 12237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*w = -10*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 + 14*a**2 + a - 1. Is n(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133776828.\nAnswer: 2, 3, 347, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/6 - 0)\/(((-399)\/76 + 5)*-46).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 131*o = b + 333 + 42, -4*o + 2*o - 6 = -4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**2\/10 + 131613*y\/10 - 65807\/5 = 0.\nAnswer: -131614, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 2. Let x be s(0). Let k(z) = z**2 + 10*z + 10. Let f be k(-11). Sort x, 3, f, -3 in ascending order.\nAnswer: -3, x, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3901064 and 7713?\nAnswer: 35109576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 630?\nAnswer: -2\/315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.05876022\nAnswer: 0.05876022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 78366 (c) -0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 - 3555433*k\/3 + 14221748\/3.\nAnswer: -(k - 4)*(k + 3555437)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/14)\/(1\/4*(-8)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 13. Suppose -d*q - 4 = -3*q. Is (-42)\/q*8\/12 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*i + 3. Let n = i - -2. Differentiate -t**4 + 1 + 0 + n*t**4 wrt t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s - 169 - 251 + 90 = 0 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q + 2. Let a be g(-1). Let t be 78\/(-7) - 2\/(-14). Put -4, t, a, -1 in increasing order.\nAnswer: t, -4, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5 + 31*p**4 + 174*p**3 + 220*p**2 - 136*p - 288.\nAnswer: -(p - 36)*(p - 1)*(p + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v**5 - 226*v**4 + v**2 + 11826*v.\nAnswer: 40*v**3 - 2712*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**(-7))\/(n**(-3)*n))\/(n**(-3)*n*n**6))**(1\/7))**(6\/7) assuming n is positive.\nAnswer: n**(36\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t - 48 = -7*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 7*u - i, 0 = 4*u - 3*i - 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - -1)*1 - 2. Let p be (-2 - (-2 + l)) + 57. Calculate the highest common factor of 84 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**24*d)**20 assuming d is positive.\nAnswer: d**500","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 - 2*s + 2*s)*(-5*s - 18*s - 46*s) + s**5 + 2*s**5 - 4*s**5.\nAnswer: 137*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.08 - -0.08. Let t = 23093.3 + -23093. What is the third biggest value in t, w, 20?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71.061 - 27\nAnswer: -98.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 21*d + 2. Let t be g(-6). Let x be (1 + t\/(-12))*6. Let w = -48 + x. Calculate the highest common factor of w and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(156)*-2 + sqrt(156) + sqrt(156))*-4)\/((sqrt(3888) - (sqrt(3888) + 1*sqrt(3888) + sqrt(3888) - sqrt(3888)))\/sqrt(4))*-4)**2 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15376 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278116173?\nAnswer: 3, 1144511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 2*j + 120. Solve 0 = j*z + 10, 3*b - 4*b + 2*z = -6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15342458 or -15342459?\nAnswer: -15342458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3105776 and 2334.\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86700, 86726, 86752?\nAnswer: 86778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8575828 micrometers in millimeters?\nAnswer: 0.0008575828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 12 = -13*r. Let f(g) = 4*g - 2 - 4*g + 4*g - 2. Determine f(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -12*i + 9*i. Let z be (((-105)\/18)\/35)\/((-2)\/(-6)). Sort i, z, 1\/2, -0.2.\nAnswer: z, -0.2, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2489.1379 + -2489. Round k to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a tonne in kilograms?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 5. Suppose j*t + d = 15, 2*d - 10 = -t - 0*d. Suppose 35 = o + t*o. Calculate the remainder when 19 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -5 (c) -5\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3487 and 0.9.\nAnswer: 3138.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3633?\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/113 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21468336 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.4 and -17.4?\nAnswer: -163.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -117, -1486, -4\/17, 11 in decreasing order.\nAnswer: 11, -4\/17, -117, -1486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 302 (b) 2 (c) 5 (d) -29 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 129 + 231. Suppose 28*q - y = 23*q. Let z = q + -38. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 + 608*h**3 - 5*h**2 - 9*h - 1200*h**3 + 594*h**3 + 2 + 2*h**2 as a*h + c + q*h**3 + j*h**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3 + 54*k**5 + 103*k**4 + 66*k**2 - 103*k**4 + 1 wrt k?\nAnswer: 3240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -43*r**2 + 210*r + 18. Let m(h) = -1850*h**2 + 9065*h + 777. Let s(q) = 259*a(q) - 6*m(q). Let l(i) = 4*i**2 + 8*i. What is l(s(b))?\nAnswer: 5476*b**4 - 296*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0 = 94. Suppose -2*t = t - 3*l - 39, 3*l + g = 4*t. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**3 - 2*b**2 - b**2 + 2*b**2 in the form g*b**3 + u*b + r*b**2 + j and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1125*b - 1180*b + 35643795. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 57\/5 of a meter?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**4\/5 - 56*w**3\/5 + 2*w**2\/5 + 56*w\/5 = 0.\nAnswer: -28, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*(1*sqrt(2016))\/sqrt(8) - (-2*sqrt(7)*-4 - sqrt(7) - sqrt(49)\/(sqrt(42)\/sqrt(6)))) + 5.\nAnswer: -42*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -234, -230, -226, -222?\n\"Answer: 4*k - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*w**3*y**3 - 2*w**3*y**2 + 2332*w**2*y**5 - 933*y wrt y.\nAnswer: 234*w**3 + 139920*w**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 229409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11745 is divided by 2972?\nAnswer: 2829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -983108 (base 10) in base 7?\nAnswer: -11233130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*z - 13, 0 = -5*w - 2*z - 70. Let y = w - -33\/2. Factor 1\/4 - 1\/4*m**4 + y*m**3 - 1\/2*m + 0*m**2.\nAnswer: -(m - 1)**3*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4387 - -7363. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -986167 divided by -20.\nAnswer: 986167\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1111.1611 + -0.1611. Let k = 1110.99997115 - i. Round k to six decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2865 and 84040?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*y + 74 = 0, -7*a + 2*a - 5*y = -100. Suppose -19*g + a*g = 30. Solve 0*b - g = 5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129471228 by 1191.\nAnswer: -108708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) 11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 204223000 rounded to the nearest one million?\nAnswer: 204000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert c7c10 (base 15) to base 5.\nAnswer: 130240330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 291\/(-1 - -4) - (22 + -22). Solve 0 = -43*v - 75 - c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103364?\nAnswer: 2, 25841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*x + 64 = 0. What is the remainder when x is divided by (2\/(-2))\/(1\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 6, 0 = 17351*k - 17353*k + 45*i + 145 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-6) - 25018\/42. Does 33 divide (6\/3)\/(-4) + a\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 3. Let t = -9 + 5. Let f be n(t). Suppose 5*k - 3*r = 9, 3*k + f*r = 14 + 5. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-105)\/18 + (-3)\/18. Let y(a) = -136*a - 3. Let f be y(j). Suppose 493 = 3*o + 4*z - 0*z, -2*z - f = -5*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -239*k**2\/2 - 2*k + 472. Let r(j) = j. What is q(r(c))?\nAnswer: -239*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.22 - -1.22. Is -3 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 3*l - 116 = -4*m, -44*m + 45*m = 21*l + 72 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/7938 and 65\/54.\nAnswer: 7938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7202 (base 14) to base 13.\nAnswer: -8bcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.8674 rounded to zero dps?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a4b04c (base 13) in base 10?\nAnswer: 3851405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -e5cc2 (base 16) to base 3\nAnswer: -1202211011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4*i + 2*l - 1648, -4 = l. Calculate the highest common divisor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4940124 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -5883.36342 to the nearest 100.\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110110100110 (base 2) to base 3.\nAnswer: -11210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 12*d**2 + 11*d + 4. Let v be c(11). Suppose 0 = v*t - 4*w - 80, 2*t + t = -5*w + 28. What is the least common multiple of t and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.268*-0.1.\nAnswer: 0.0268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0\/v)**(-37) assuming v is positive.\nAnswer: v**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 521\/4 - 3\/12. Let u = n + -219. Let f = -37 - u. Is 26 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/192 and 11\/47136.\nAnswer: 94272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 less than 7.1?\nAnswer: 217.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251344 is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 11*p**2 + 4. Let s be r(-11). Let k(d) = d + 11. Let g(v) = -v - 6. Let n(x) = s*k(x) + 7*g(x). What is n(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 7*s - 5. Let f be d(6). Let c = 5 - f. What is the highest common divisor of c and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 16 = k - 3*k, 0 = 2*x + 5*k - 20. Let d = 8 + -4. Suppose 3*w - d = w. Solve w*g - 1 = x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1675*x**2 + 67*x - 67. Let w(o) = 152*o**2 + 6*o - 6. Give 6*d(t) - 67*w(t).\nAnswer: -134*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + (-2*sqrt(72) + -5)**2 + ((sqrt(72)*-2 - sqrt(72)) + 4)**2 + 3)*-1.\nAnswer: -120*sqrt(2) + 4890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f - 4. Let h be d(4). Let w = 10 - h. Solve -2*n = -0*n - w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-306)\/(-21) - ((-276)\/(-42) + -7). Calculate the remainder when 109 is divided by 21\/f + 133\/5.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 893 and 0.44.\nAnswer: 893.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -106, -178?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/2 - ((-7)\/9 - -3). Let j = 9.1 - 9. Let z = -0.36 - -0.06. Which is the closest to j? (a) n (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 208924?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2074357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000011 (base 2) to base 7.\nAnswer: -641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48494341 to the nearest integer?\nAnswer: 6964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 + -0.4. Let i = -0.7 + d. Is -1 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 + f**2 - f. Let a(l) = l**2 + 6*l + 6. Let x be a(-5). Let m be q(x). Factor 8 + 4*p**3 - 2*p**2 + 0*p**4 - 4*p**m + 2*p**4 - 8*p.\nAnswer: 2*(p - 1)**2*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87.3 - -87. Which is the third biggest value? (a) z (b) -0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 41 - 13 = 4*t, 14 = -4*i - 3*t. Let c be (6 - (-9)\/(-3))*-1. Is c less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/5)\/i*i*i)\/i)**(-34)*(i*i*(i**(2\/17)\/i)\/i*i)\/(i\/i**(-1\/7)) assuming i is positive.\nAnswer: i**(-12153\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 459178381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596445683.\nAnswer: 23, 25932421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349*y - 15 = -4*x + 350*y, 0 = -5*y + 5. Find l, given that -28\/5*l**2 + 0 + 84*l**x + 166\/5*l**3 + 1\/5*l + 45*l**5 = 0.\nAnswer: -1, 0, 1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5 = 2*f. Let x(q) = q**2 - 7*q + 7. Let y be x(f). Let i = y - -5. Solve 3*b + 15 = -i*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 2:57 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/7 - 365116*p\/7 - 730224\/7.\nAnswer: -2*(p + 2)*(p + 182556)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1114, -8924, -30196, -71662, -140054?\n\"Answer: -1122*k**3 + k**2 + 41*k - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/k**3)\/k**6*(k**(1\/2))**31 assuming k is positive.\nAnswer: k**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14564004?\nAnswer: 2, 3, 7, 13, 13337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 193, 399, 617, 853, 1113?\n\"Answer: m**3 + 199*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(162) + -5)**2 + sqrt(162) + sqrt(162) + (sqrt(162) + 2 + 4)**2 + 6*(1*(sqrt(162) + -1))**2.\nAnswer: -162*sqrt(2) + 1849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10, 27, 66, 139, 258, 435, 682?\n\"Answer: 2*k**3 - k**2 + 6*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5\/7))**7 assuming x is positive.\nAnswer: x**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15344099 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -11*v**2 - 200*v + 1809. Let k be t(9). Which is greater: k or -885?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2418 + 2892. List the prime factors of f.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 + -379\/4. Is z greater than or equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35464271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1575)\/50)\/(686\/196)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -197, 26, 5, -5, -107 in descending order.\nAnswer: 26, 5, 3, -5, -107, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/14)\/(6\/((-891)\/55 + (-120)\/(-10)))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*n**2 - 3*n**3 - 20*n**2 - 2*n**3 - 29 + 2*n + 7*n**3 to the form w*n**3 + o*n + v + y*n**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 338*h**2 - 6*h - 1. What are the prime factors of t(-3)?\nAnswer: 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - 5. Let n = -3 - f. Suppose -n*s + 9*s + 72 = 0. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5 = -3. Suppose -2*d - 2*m + 2 = -0*d, d + a*m = 0. What is the units digit of 76\/3 + d\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1378*u + 31714. Determine h(23).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 209 - 152. Suppose -p*t = 738 - 3702. What is the remainder when 196 is divided by t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 + 6*a - 7. Let w = 33 - 37. Let n(o) = -o + 2. Calculate the smallest common multiple of n(-3) and c(w).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40759670.\nAnswer: 2, 5, 7, 193, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 + 5*q**2 - 3*q**2 + 2*q**3 + q**2 + 3*q**3 - q**2 + (q**3 - 2*q**3 + 3*q**3)*(-4 + 1 + 4).\nAnswer: 7*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -198.1 + 197.1. Let f = 8\/23 - 150\/299. Let v be (-5)\/3*4\/(-10). What is the closest to -0.1 in v, f, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzunlnwnn. Give prob of sequence lu.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -415*p*u + 69*u wrt p?\nAnswer: -415*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or -220\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -494 by 2.\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 7:35 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 11:49 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 1, 2\/5, 1\/7.\nAnswer: -0.07, 1\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*24\/396)\/(28\/231*3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8009081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 7*z - 840. Let b = z - 210. Solve 2*m = -b*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46196 + 46196 - 7*a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1950777223?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1836)\/72)\/(-17))\/(1161\/(-12)).\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -u - 5*t, -5*u - t + 2*t + 29 = 0. Suppose 4*o + 5*s - 10 = 14, o - u*s = -19. Solve 0 = m + o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-33) + (-38)\/(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q - 119 = -59 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4 - 14*x - 7*x + 20*x. Determine w(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a146 (base 14) in base 5?\nAnswer: -33442420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + v + 5*v)*(-62 + 1973 + 324)*(1 + 1 - 4) to j + p*v and give p.\nAnswer: -13410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*2*sqrt(264) + sqrt(264))\/sqrt(12))\/(sqrt(1331) - 2*(sqrt(1331) - (sqrt(1331) + sqrt(1331) + sqrt(1331)*-3))).\nAnswer: sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 8.9\nAnswer: -44.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**5 + 10*b**3 + 94*b - 1 wrt b.\nAnswer: 60*b**3 + 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*p**2 - 3*p**3 + 13*p**2)*(-1 + 11 - 4).\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3920*t - 206 = -206 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-38)\/((n*n*n\/(n*n*(n\/n**23)\/n))\/n)*n**(-32)\/(n*n**36\/n) assuming n is positive.\nAnswer: n**(-129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -2240\/3, -6\/11?\nAnswer: -2240\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) - sqrt(240)*2 - sqrt(15)) + sqrt(15))\/sqrt(5).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 653269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39700?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*f + 450 = -134*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -5\/5818634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**3\/4 - 27923*v**2\/2 - 5720311*v - 588099306 = 0.\nAnswer: -55434, -206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, e: 2, c: 2}. What is prob of sequence ej?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*p*y + 16*p + 101*y - 193 with respect to y.\nAnswer: 17*p + 101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68485 + 68559. Let h be (16\/(-24))\/((-4)\/3). Let z = -3.93 + -0.07. Which is the third biggest value? (a) z (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*h - 8 = 0. Solve 0 = 5*y - 5, -y + 2 = 3*k + h*y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((2 + -5 - -4) + -1)\/3. Solve u - 7*u = z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3081*u + 1217*u - 1727 + 1727 as g + n*u and give n.\nAnswer: 4298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -239697468\/2180791 + 4\/94817. Let f = p - -110. Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -183.4 * 17488.\nAnswer: -3207299.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*b = -285, 3*i - 122 - 49 = 3*b. Suppose i*w = 56*w + 6. Let a(p) = -2 - 6*p**2 - 3*p + 2*p + p**3 + 0*p + 10. Give a(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*q - 25, -3*y - q - q + 58 = 0. Calculate the remainder when 537 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51 and 160021.\nAnswer: 480063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 226 - 270 - (-3 + -59)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 18*h**2 - 19*h. Let y be s(19). Suppose -5*f + 8 = o - 20, y = o + f - 12. Is (-4424)\/(-6) + (64\/(-24))\/o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9459?\nAnswer: 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.04 (b) -1087.9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12307 at most as big as 12306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0553437 rounded to 3 decimal places?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61)\/(-183)*(-42)\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 470*3*1000\/(-3). What is q rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6298*z**2 - 6297*z**2 + 12596*z**2. Let h(m) = -2077*m**2. Calculate b(h(s)).\nAnswer: 4313929*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*-2 + (-3 + sqrt(3))*-2 + sqrt(3))**2.\nAnswer: -228*sqrt(3) + 1119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 16) to base 13\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**6\/120 - z**5\/20 + z**3\/3 + 7*z**2. Let q be m(4). Let w = q - 18. Is w < -2\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235582810?\nAnswer: 2, 5, 43, 653, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2*b + b)*(0*b**4 + 3*b**4 - 15 + 16).\nAnswer: -6*b**5 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 626317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a - 4. Let x be g(6). Let b = 13 + x. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - -2 - (-613 + 619) - -15?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5697692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-523)\/(-90))\/((-52)\/16). Let j = k - -2\/195. Calculate the common denominator of j and -49\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) + (sqrt(240) - ((sqrt(240) - 4*sqrt(240)) + sqrt(240)) - sqrt(240)) - sqrt(240))\/sqrt(12))**2*-6.\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*w - 18, 2*q + 6*w - 12 = 3*w. Let h = q + -6. Suppose c + 3*c = h. Solve 5*t + g + 3*g + 16 = c, -21 = 5*t - g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 12 = -28 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -328 + 326.906. Round x to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - -2)*(-1)\/(-1). Solve 0 = -2*b + 2*w + 4, -8 = -d*b + w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0093205 rounded to 4 decimal places?\nAnswer: 0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 12:38 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 63?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187408 by -4.\nAnswer: 46852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhhytyyhytychfmmtm. What is prob of picking 1 y and 1 c?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/23)*l*l**4\/l*(l\/((l*(l\/(l**18*l)*l*l)\/l)\/l)*l)**(-14\/3))**(-43) assuming l is positive.\nAnswer: l**(250819\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -101 + (55 - 19) + (1 + 3 - (-9 - -1))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -1361*w - 5 + 1357*w - 3*w**2 + 1 + 0 + w**3. What is r(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-264)\/(-24) - 11\/1. Let h(a) be the third derivative of 1\/3*a**3 + 0*a**4 - 9*a**2 - 4\/15*a**5 + 0 + v*a. Differentiate h(s) with respect to s.\nAnswer: -32*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3761, -7525, -11293, -15065, -18841, -22621, -26405?\nAnswer: -30193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000179820873 to five decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 2, 0, 1\/107, 7?\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10038 divided by -6\nAnswer: -1673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 688842 by -71.\nAnswer: -9702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -36, -25, -30, -63, -136?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -1\/6*o**4 + 0 + 0*o**6 + 0*o**2 + 0*o**3 + 0*o**7 - 5\/28*o**8 + 0*o**5 + 6*o. Find the third derivative of m(k) wrt k.\nAnswer: -1200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4.368866 days?\nAnswer: 6291.16704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 130*q + 4225.\nAnswer: (q + 65)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329 + 1 = -15*b + 3*q, b = -4*q - 18 + 17 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.224737 + -0.56154. Let r = -0.336 - z. Round r to five decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -21, 153, -26 in increasing order.\nAnswer: -26, -21, -1, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**3 + 8*h**2 + 2*h**3 - 2*h**3.\nAnswer: 4*h**3 + 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 6*s + 10. Suppose 11*z - 35 = -123. Determine p(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -542 (base 6) to base 12\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 740*o**3 + 735*o**3 + 742*o**3 + 738*o**3 - 2958*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*p + 5 = 0, 0*a - 5*a + 3*p + 25 = 0. Calculate the smallest common multiple of 41 and a.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2229*f + 4037*f = 551408 for f.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 13650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-15) + 14\/5. Suppose 6 - 8 = -g*l. What is the tens digit of l\/(((-12)\/260)\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from immmsammmmtiisitim. Give prob of sequence mist.\nAnswer: 1\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycb when three letters picked without replacement from {l: 4, c: 1, b: 5, y: 5}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 323149 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14)\/14)\/((-1)\/3). Suppose m + l - 17 = 0, -x*m + 45 = -l + 2. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 8*n**2 - 6*n + 22. Let r be z(-9). What is the second biggest value in -3\/4, r, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**4\/2 + 7*y**3\/3 + 14*y**2. What is the derivative of z(k) wrt k?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(11*(-3)\/627)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 636.\nAnswer: 5088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 142149732 to the nearest one million.\nAnswer: 142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*b**2 - 2*b**2 + 49*b**2 + 26*b**2 + 36*b**2.\nAnswer: 172*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/((t**(2\/3)\/t*t)\/t)*t))**(-3\/23))**(-5\/9) assuming t is positive.\nAnswer: t**(-20\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 + 87*z**3 + 2 - 182*z**3 + 89*z**3 in the form n*z**3 + s + y*z**2 + k*z and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 12:51 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iimm when four letters picked without replacement from {i: 2, m: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z - 15 + 8 - 18. Let o(d) = d - 6. Let b(y) = -26*o(y) + 6*s(y). What is the derivative of b(m) wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 11*k**5\/10 + 5*k**4\/12 - 11*k**2\/2 - 41*k. What is the derivative of y(x) wrt x?\nAnswer: 66*x**2 + 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 52525 and -0.3?\nAnswer: -15757.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -27*g + 65. Is j(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*l = l + 55186, -2*d + 22102 = 3*l. What are the prime factors of d?\nAnswer: 2, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 4 = -0*z + 4*z, -1221*z - 23 = -1220*z - 7*a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -113*h - 568. Give d(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 10 + 3\/2*t**2 + 1\/2*t**3 + t. Let i(x) be the first derivative of q(x). Determine i(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003023906 rounded to 5 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 94775 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/6)\/(1\/10). Let y = -8 + s. Let v = 0.116 - 0.016. What is the nearest to 0 in y, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/6*1*20\/(-30) - 1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 184*v - 11425. Let q be z(62). Let c = 8 - 5. Sort q, c, 4 in descending order.\nAnswer: 4, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 93 = 187. Calculate the least common multiple of w and 22.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1684\nAnswer: 1\/1684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 680175791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h**2 + 219*h**2 - 36*h**2 + 76*h**2.\nAnswer: 250*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -296 - -295. Which is greater: d or -3\/1610?\nAnswer: -3\/1610","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - 2 - (490\/(-24))\/(-7). Let n(j) be the third derivative of 0 - 1\/210*j**7 + 0*j**5 - 1\/60*j**6 + g*j**4 + 1\/6*j**3 + j**2 + 0*j. Factor n(t).\nAnswer: -(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -2\/3*b**3 + 0*b + 0*b**2 + 22. Let k(h) = 12*h - 36. Let q(w) = w - 1. Let u(c) = -k(c) + 36*q(c). Determine u(n(f)).\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08430037 take away -35362973?\nAnswer: 35362972.91569963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(5))*-6)**2 - (sqrt(5) + (sqrt(10)*1)\/sqrt(2))) + -4.\nAnswer: 70*sqrt(5) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100110 (base 2) in base 14?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(48) + 3) + sqrt(12)\/sqrt(4) + -3 + -4)*6.\nAnswer: -90*sqrt(3) - 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 464 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 3)*(4*v**2 + 12*v**2 + 6*v**2) + (4 - 4 - 2*v**2)*(5 - 1 - 2).\nAnswer: -92*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**4\/24 - 3*y**3\/4 - 5*y**2 - 91*y + 3. Factor i(k).\nAnswer: -(k + 4)*(k + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50209)\/(-2516) + -20)*(2 - (12 + -2))\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 5*l - 3*l = -13, 4*a - 5*l - 21 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -132 - 1. Let n = 132.37 + p. Let h = -0.6166 - n. Round h to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00275536 rounded to four dps?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3855 is divided by 424.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -45, -100, -159, -222, -289, -360?\n\"Answer: -2*o**2 - 49*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 8*v**2 - 39*v - 41. Give p(12).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3403 less than -3402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24192 + -4752. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 6 + u - 1\/2*u**2. Let r be (-6)\/4*(-8)\/3. What is s(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -36*y**3 + 128*y**2 - 127*y - 2. Give c(1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25627, -25820, -26397, -27550, -29471, -32352, -36385, -41762?\nAnswer: -48675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - -2.7. Let z = -1.5 - -1.521. Let h = 3.979 + z. Which is the biggest value? (a) i (b) -0.2 (c) h (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p. Let t(n) = 820627*n**2 + 10. Determine t(k(x)).\nAnswer: 13130032*x**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -3. Let s = f - 1. Solve p - 4 = -s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -182 divided by 161.\nAnswer: -26\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - -19. Let n(s) = -5*s - 5. Suppose 2*v = -2*a, -5*a - 3 = 4*v + 2. Calculate the remainder when r is divided by n(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12, -2, 52, 174, 388?\n\"Answer: 4*w**3 - 2*w**2 - 12*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.86 - 14?\nAnswer: -13.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1501531mm to micrometers.\nAnswer: 150.1531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l**3 + 82*l**2 - 68*l + 5. Let h(w) = -w**3 + 2*w**2 + 1. Let j(d) = 5*h(d) - x(d). Find b such that j(b) = 0.\nAnswer: 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37+-0.4\nAnswer: 36.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 0, -3*c + 20 = m - 134. Let g be (m\/10)\/7 - (-2)\/(-10). Solve 3*r = 2*o + 2, g*r - 3*o = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 64302 and 1.\nAnswer: 64303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39764?\nAnswer: 2, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in -0.045, -1\/4, 2, 4?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93216, 93677, 94140, 94605?\nAnswer: 95072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -554, -556, -564, -578, -598?\n\"Answer: -3*z**2 + 7*z - 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -271.3394 and -0.28.\nAnswer: 75.975032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1120\/(-392)*(-14)\/4. Let m(u) be the third derivative of 0*u**3 + 1\/6*u**4 + 0 - 1\/60*u**5 + 0*u + w*u**2. What is the second derivative of m(o) wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 565.2705 milligrams?\nAnswer: 0.0000005652705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/31)*y)**(-5\/12)\/(y**(-24)*y**(-25)\/y) assuming y is positive.\nAnswer: y**(4570\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1005904.\nAnswer: 2, 62869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/2 (b) -3 (c) -2\/17 (d) -2\/9 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 4. Let g be z(-3). Let t be (-16)\/(-6) + g\/3. Let k = -0.5 + 5.5. Put 0.1, k, t in increasing order.\nAnswer: 0.1, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2144*y**3 + 279*y**2 + 4627307*y?\nAnswer: -12864*y + 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.1865 - 3.406. Let o = l + -0.86. Let t = 0.08 + o. Round t to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1047, 1062, 1093, 1146, 1227, 1342?\n\"Answer: m**3 + 2*m**2 + 2*m + 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 10 + 6. What are the prime factors of (-5 + -1)\/(6\/k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 407, 1526, 3377, 5960?\n\"Answer: 366*h**2 + 21*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1090, 18, 3 in increasing order.\nAnswer: -1090, 3, 11, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 144*d**2 + 69*d - 398. What is p(6)?\nAnswer: 5200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b + 5. Let k be (-149)\/(-4) + b\/4. Find the common denominator of 99\/10 and (k\/36 - 1)*110.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7731 and 1215?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 4*s - 10. Let m(p) = -23*p**3 + 11*p**2 + 3. Let q(d) = 13*d**3 - 7*d**2 - 1. Let t(w) = 4*m(w) + 7*q(w). Calculate t(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 649.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k - 45. Suppose 0 = -25*r + 13*r + 72. Let b be t(r). Suppose q - 4*l = 4, -q - 1 - 4 = 5*l. Solve -4*y - u - b = 0, q*u + 9 = -3*u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.2 (b) 3\/4 (c) 12 (d) -118 (e) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/350852 and -103\/2395776.\nAnswer: 572590464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 30333 (base 12) to base 9\nAnswer: 104873","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 11561843797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2391098ml to litres.\nAnswer: 0.0002391098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/2799320 and 79\/916?\nAnswer: 641044280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*j = -878 + 739 - 920 - 341 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**3\/3 + d + 2. Let l(w) be the first derivative of g(w). Let s(u) = 5*u. Determine s(l(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*f = 6 + 14, -5*f = 25. Suppose 3*z = -v + 136, -v + x*v = -1. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.641076 kilometers to centimeters.\nAnswer: 164107.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1306*g**2 + 54852*g - 1. Calculate v(42).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5772*r**2 + 5768*r - 9. Let y(b) = 1441*b**2 + 1442*b - 2. Let u(i) = -2*l(i) + 9*y(i). Find the second derivative of u(z) wrt z.\nAnswer: 2850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 541*s**3 - 10*s**4 - 18*s**3 - s - 8 - 521*s**3 to the form c*s**2 + q*s**3 + z*s**4 + o + l*s and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8635142 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000083371 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9)*a**9)\/(a\/(a\/a**9))**(-10\/17) assuming a is positive.\nAnswer: a**(90\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4727.56444 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 853 - 283 - 4*t + 5*t + 88.\nAnswer: t - 992","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 0.0007.\nAnswer: 2.0007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - 12. Let g = s + 21. Put g, 3, 0 in ascending order.\nAnswer: 0, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21037644 and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*l = -5. Solve -2*c = -l + 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r. Let d(x) = 393*x**2. What is l(d(n))?\nAnswer: 1179*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3405931644?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 29*b = -379, 34 = -5*w + 97643*b - 97646*b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + 3*sqrt(117) + 2 + ((1 + sqrt(117))*-6)**2.\nAnswer: 225*sqrt(13) + 4253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10\/29 + 1229\/116. Let w = x - 197\/20. Let d be (-6)\/4 - (-1)\/1. Which is the second biggest value? (a) d (b) -1\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 4*h - 5*d + 54, -4*h - 4*d + 16 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -98*r**4 + 42*r**3 + 48*r**2 + 8*r + 6. Let j(x) = -98*x**4 + 42*x**3 + 48*x**2 + 8*x + 7. Let h(a) = 7*c(a) - 6*j(a). Factor h(b).\nAnswer: -2*b*(b - 1)*(7*b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*u**2 - 2*u**2 + 0*u**2.\nAnswer: -49*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21112?\nAnswer: 2, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 62.54916 tonnes?\nAnswer: 62549160000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 703 and 81?\nAnswer: 56943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21090?\nAnswer: 2, 3, 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 8*p - 30. Calculate the least common multiple of 3 and y(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 + 17*d**2 - 10*d + 99. What is m(8)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is -17409829 rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b = -2104*o + 2101*o - 24, 2*o = b - 2*o - 32 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**7\/630 - k**6\/48 + k**5\/30 + 3*k**4\/2 - 15*k. Let v(x) be the third derivative of f(x). Factor v(a).\nAnswer: -(a + 4)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**7\/4200 - w**6\/1800 + w**3\/3 + 8. Let v(g) be the third derivative of d(g). Solve v(l) = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - (-648)\/(-45))\/((-2)\/(-10)). Is (-463988)\/b - (-2)\/13 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**3\/6 - 4*g**2 + 4*g - 17. Let j(a) be the first derivative of d(a). Find the first derivative of j(w) wrt w.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90\/49 + -221\/147. Which is the nearest to -3\/5? (a) -51 (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, 0.04, 4, -1, -29?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*s - 3*n, -109*n = -s - 108*n + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1588 is divided by 785?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 461\/205 + -2\/41. Let n = -3 + 1. Let v = q + n. Is 0 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(2))**2 + sqrt(2) - -4*sqrt(12)\/sqrt(6).\nAnswer: 8 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 5*v - 22, -4853*z - 3*v = -5075*z - 207 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 175*c**2 + 2*c + 81*c**2 + 2*c + 83*c**2 - 3*c to i*c**2 + n*c + p and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5 = 5*g, 5*g + 6*i = 10*i + 4. Let r be (-2)\/4 + g + (-296)\/(-16). Solve 19*a = r*a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k + 5. Let b(t) = -5*t - 6. Let h(g) = 5*b(g) + 6*n(g). Let d(w) = 5*w. Let j(a) = d(a) + 3*h(a). Let o(v) = -8*v. What is j(o(i))?\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 2*k, 3*i - 3*k - 22 = -2*i. Factor 25*r + 3*r**3 + 25*r**4 - 18*r**4 - 12*r**4 + 6 + 27*r**i.\nAnswer: -(r - 3)*(r + 1)**2*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*(0 + sqrt(833)) + -5)**2.\nAnswer: -70*sqrt(17) + 858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 1) + 0\/(-1). Let y = j + 7. Let k = -0.13 - 0.37. Which is the second smallest value? (a) -3 (b) k (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/7 and 1\/105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/50*(-5)\/(-3). What is the nearest to -0.1 in -0.5, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*r**3 + 219*r.\nAnswer: -96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r - 115 = 0. Let s = r - 9. Suppose 0 = 3*l + 46 - 121. Calculate the remainder when l is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41 times 2.3?\nAnswer: -0.943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 212*1*(((-48)\/8)\/(-18))\/((-316)\/(-237)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**3 + 21*t**2 + 4*t + 130. What is x(6)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/24*156\/(754\/29).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -24, 0, 0.2, 2\/149?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390339 divided by 4819.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 908.1646mm to nanometers.\nAnswer: 908164600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**5\/20 - p**4\/6 - 5*p**3\/6 - p**2\/2 + p. Is y(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 3, 17, -3 in descending order.\nAnswer: 17, 3, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -26*c**2. Let t(f) = 2*f**2 - 141*f. Give t(m(o)).\nAnswer: 1352*o**4 + 3666*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 8:55 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u**3 - 10*u**2 + 3*u. Let x(r) = r**3 + r**2 - r. Let y(v) = j(v) + 3*x(v). Let a(d) = -d**2. What is -5*a(o) + y(o)?\nAnswer: -o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1451 + -20234?\nAnswer: -22015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 65\/15)*3. Solve -s - a*s + 10 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 7*k - 10. Suppose 2*l + f = 17, -5*l + 60 = 3*f + 19. What is the smallest common multiple of i(-5) and l?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o + 47 + 4*o + 16*o**2 - 58 - 3*o + 26 to the form m*o**2 + q*o + w and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1642 (base 7) to base 16.\nAnswer: 29b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52570 + -36201. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*104.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - ((16 + -17 - 11) + 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/44 and -17\/28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 6544, 1, -3, 2, 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, 141, 0, -1\/30, -0.4?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 2*j**2 - 1\/2*j**3 + 0 - 7\/8*j**4 - 42*j - 1\/8*j**6 - 11\/20*j**5. Factor n(h).\nAnswer: -3*(h + 1)**2*(5*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11b48 (base 14) in base 11?\nAnswer: 2a657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38501525.52 + 142.\nAnswer: 38501667.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*y - 7. Suppose h = -2*h - 2*x - y, -2*x - 2 = -2*h. What is the closest to 2 in h, -5, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-50)\/45*(-372)\/(-20))\/(2\/(-231)). What is i rounded to the nearest ten?\nAnswer: 2390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x. Let i(k) = 23*k - 6. Let l(h) = -68*h + 17. Let g(p) = 17*i(p) + 6*l(p). Determine g(n(m)).\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2 = -j, -5*j - 10 = 3*q - 0*q. Solve q = -3*p + 12, 4*p - 12 = -2*f - 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j = -5*o + 83427, -5*o = 4*j - 10818 - 72623. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-2 + 2 + (2 - 4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/5 (b) -0.1 (c) 0.09 (d) -2\/97 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -51*k**4 - 246*k**3 - 363*k**2 - 132*k + 36 = 0.\nAnswer: -2, -1, 3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/2390 and -15\/8?\nAnswer: 9560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 q when three letters picked without replacement from emmeeeqmeqee.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-546)\/(-9) - -5) + (-10)\/15. What is the tens digit of q + (-4 - (4 + -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-6)*6\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.31422 decades to years.\nAnswer: 93.1422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 + 44105674*h - 972655239497138.\nAnswer: -(h - 44105674)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-15) + 8\/12. Let y = 3.467 + -1.493. Let d = y - -0.026. Sort -1, d, l in descending order.\nAnswer: d, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304131 is divided by 704?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -31. Suppose -a = -0*a - b. Calculate the remainder when 43 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -17. Let f = 6 - -2. What is the remainder when f is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((9\/(-24))\/(-3)). Let w = n + 13. Suppose j - 4*a = 2*j - 27, w*j - 3*a = 20. Calculate the remainder when 22 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -326 + 344. Suppose -11 = 4*c - 15, a*t + 5*c - 6602 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + 0 + -1*sqrt(832) + 3 - (2*sqrt(832) + -1 + sqrt(832) + -4*(sqrt(832) + 0 + sqrt(832)))*3).\nAnswer: 7 + 112*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30082 = -13*d - 13*d. Let n = 1086 - d. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 342 (base 9) to base 11\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17967 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 79f83 (base 16) in base 10?\nAnswer: 499587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.516 times -41?\nAnswer: 3547.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a century in years?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5557286 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u. Suppose 0*f = f - 20. Suppose -2*a + f = 2*a. Let z(d) = -d**3 + 9*d**2 - 8*d - 7. Let l be z(8). Let y(g) = -3*g. Determine a*c(o) + l*y(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysms when four letters picked without replacement from {s: 18, m: 1, y: 1}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express u + 1 + 2*u**2 - 1 + 544*u**3 - 572*u**3 in the form k*u**2 + s*u + l*u**3 + h and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -20 + 5, -2*l - k + 53 = 0. Let z = -337\/12 + l. Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1006.998434 + 1007. Round m to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 962, 1106, 1236, 1346, 1430?\n\"Answer: -v**3 - v**2 + 154*v + 810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 18 = -27 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + o - 1. Let n(v) = -15*v**2 + 16*v - 24. Let c(s) = 18*s**2 - 15*s + 27. Let g(m) = -2*c(m) - 3*n(m). What is 18*f(a) + g(a)?\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 + 3*i - 3. Let p(w) = 3*w**2 - 4*w + 4. Let q(u) = 5*d(u) + 4*p(u). Let y be q(-3). Let a = y - 43\/2. Put -1\/2, a, 1 in decreasing order.\nAnswer: 1, a, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 3. Let w = u + -110. What is the remainder when 50 is divided by (3\/(-9))\/(2\/w)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 368*o**2 - 57408*o - 7. Give s(156).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2160548\/(-585) - 10\/(-75). Let k = -3688 - h. What is the common denominator of k and 4\/(-10) - (-289)\/135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3565 - -3565.4. Which is the second smallest value? (a) -4\/3 (b) t (c) 729\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -875402, -875401, -875400, -875399, -875398?\n\"Answer: s - 875403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11870637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*(sqrt(216)*-1)\/(sqrt(8) - -1*3*sqrt(8)))**2.\nAnswer: 45*sqrt(3)\/2 + 819\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**14)**(7\/2))**(-2\/83) assuming u is positive.\nAnswer: u**(91\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(972) - sqrt(972)*-1)*4)\/(sqrt(6)*2*-1 + sqrt(54) + sqrt(54)*-1))**2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, z: 5, o: 1, b: 4}. Give prob of picking 1 b and 1 z.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 211*w = -3*k - 184, 0 = -3*k + 3*k + 5*w - 9 + 14 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81362 + -2.58.\nAnswer: 81359.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 30*m - 7\/2*m**2 - 1\/6*m**3 + 0. Give o(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - -0.6. Let y = -1.3 + 1.1. Let g = 0.01 - 0.41. What is the second biggest value in f, y, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - 5*m + 4*m + (-2 + 5 - 2)*(-m + 1 - 1) - 2*m - m - 4*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*x - 102, -x = -4*c - 36 + 2. Let q = x + -73. Let o = -30 - q. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 10*j - 6. Let d = 8 + -1. What is the tens digit of g(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 3*v**2 - v**2)*(-87 + 3*v**3 + 87 + v**3 + 3*v - 3*v + (0*v + 0*v - 2*v**2)*(v + v - 4*v)).\nAnswer: 8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4009843?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169, -337, -505, -673, -841, -1009?\nAnswer: -1177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13795755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 580 and 145870.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 + 4*p**4 + 0*p**4 + 0*p**4 + 5*p**4 - p**4 - 2*p - p**4 + 2*p + 4*p**4 - 6*p**4 + 3*p**4 + (-2*p + 0 + 0)*(-2 + p**3 + 2))*(0 - 2*p + 0).\nAnswer: -10*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6*y = -3*n - 15, 2*n + 6 = 2*y. Let s = 11 + -11.3. Which is the biggest value? (a) s (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/36)\/(-1*(-1)\/3). Let s = -23\/144 - 1\/16. Which is the closest to 0? (a) s (b) g (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -11.3 (b) 0.2 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2. Let k(m) = -7 - 6*m + 0*m + 7*m. Let j be k(8). Let b(a) = j + 87*a - 98*a - 1. Calculate c(b(z)).\nAnswer: 242*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-455)\/(-3094))\/((-5)\/(-4))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -93*h + 1030. Determine d(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*m + 962 - 126 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95 + 94.74. Let f = 0.74 - d. Put 0, f, -1\/4 in increasing order.\nAnswer: -1\/4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 173228376017.\nAnswer: -173228376016.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 7. Let i = c - -5. Solve 5*g = i*g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-7\/6))\/k**(-2)*k\/k**(-2\/3)*k*k**(-1) assuming k is positive.\nAnswer: k**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5419181983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*((sqrt(1250)*-2 - sqrt(1250))*-5 - (sqrt(1250) + 0)*-3)**2.\nAnswer: 1620003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 51. Let m be b(-5). Find the first derivative of 21*w + m + 27 + 12*w + 9*w wrt w.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/126 and (-35)\/(-450) - (-352)\/(-1320).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 20*m + 3 = 0. Let x(j) = 8*j**3 + 32*j**3 + 3 + 0*j - 4*j. What is the tens digit of x(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 4)*(-2)\/(-1). Calculate the common denominator of -93\/2 and (4\/(-14))\/(m\/23).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(270)\/sqrt(6)*-1 + sqrt(45)) - (5 + sqrt(405)*-3))**2.\nAnswer: -270*sqrt(5) + 3670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a millimeter in micrometers?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/246)\/((-26780)\/(-12360))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-6) + -8889409*(-5)\/30. Let y = x + -1045568. Suppose -5*n = -7*n - y. Round n to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -18*q**2 - 1. Let i(s) be the second derivative of s**3\/6 + 80*s. Give d(i(a)).\nAnswer: -18*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a gram in milligrams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 352849 + -352846.8999984. Let a = -20 - -17.9. Let w = y + a. Round w to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1219*n - 18. Let p(s) = 1217*s + 22. Determine 4*p(h) + 5*u(h).\nAnswer: -1227*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q + 16213*q**3 - 2*q - 16280*q**3 in the form v*q**3 + f + s*q**2 + t*q and give v.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y**2 - y + 1. Is 31 a factor of k(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(4*(-3)\/(-36)). Is (12072\/(-36))\/(8\/g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 10 - 3 - 16?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in six fifths of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 - -72. Suppose 4*b - 133 = -g*o, 0*o + b - 142 = -5*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5466 - -5493. Solve 18 - u = -3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -60*q + 6362. Let p be m(106). Solve -40 = -5*x - 5*u, 5*u = p*x + 27 - 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -100000101212?\nAnswer: 100000102000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 751513 divided by -4\nAnswer: -751513\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 5:54 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 572130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 308 and 3476.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 729004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1723*u = -1174*u + 2942*u + 296735 for u.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18790 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + -35. Let k = p - -40. Which is bigger: k or -4\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/7907670 and 2\/6589725?\nAnswer: 39538350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -112*c**2 + 5*c + 3. Suppose 2*k - 216 = -2*k. Let t be k\/(-9)*(-2)\/4. Let a be b(t). Round a to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*z + 2 = 0, 2*d - 45 = -2*z - 9. Let a be (-66 - 0\/(-2))*-3. What is the highest common divisor of d and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1174, 3820, 7944, 13546, 20626, 29184, 39220?\n\"Answer: 739*d**2 + 429*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8336129 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/3)*c\/((c\/((c*c*c\/c**(-1\/3)*c*c)\/c))\/c)*c*c**(-1\/9)*c**(-4)\/c assuming c is positive.\nAnswer: c**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32, -29, -26?\n\"Answer: 3*u - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/26*2\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 2*o + 2*m + 510, -2*o = -3*m + 267. Let p = -127 - o. Let r(z) = -z**2 - 2*z + 2*z + 1 - 2*z - z**2. Determine r(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**5 - l**5 + 0*l**5 + (-l**5 + l**5 - 2*l**5)*(-3 + 1 + 4) + 2*l**5 - 2*l**3 + 2*l**3 + 51*l**5 - 3*l**5 + 168*l**5.\nAnswer: 217*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and 13.6545.\nAnswer: -232.1265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*k = k + 14, 25 = -5*a + 4*k. Let g(s) = 3*s**2 + s. Let d(b) = b**2 - 1. Suppose 38*r + 5*n + 5 = 33*r, -n = -r + 3. Calculate a*d(v) + r*g(v).\nAnswer: 2*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - ((-14 - (3 + 10 - 14)) + -2).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**3 + 5*m**2 - 112*m - 7. Let y(u) = 6*u**3 + 9*u**2 - 227*u - 12. Give -5*q(w) + 3*y(w).\nAnswer: -2*w**3 + 2*w**2 - 121*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31221 (base 4) to base 12.\nAnswer: -609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -36589.0716 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vlv when three letters picked without replacement from {p: 5, v: 4, w: 1, l: 4, f: 5}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -55*d - 1. Let n be k(-3). Let t = -138 + n. Calculate the highest common factor of t and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27835\/12 + -2315. Find the common denominator of h and 99\/170.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -627, -1413, -2515, -3933, -5667?\nAnswer: -7717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h + 82. Determine b(9).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/6*(-6)\/(-4). Let g(t) = -t**2 + 21*t - 23. Let j be g(20). Do m and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1088 and -5.\nAnswer: -5440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33413619 by 11679.\nAnswer: -2861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -58?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (234*m + 6*m + 39*m)*((-2 + 4 - 1)*(-1 + 4 - 4) - 2 + 2 + 1 + 0 - 1 + 3 + 0 + 0 + 2).\nAnswer: 1116*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/50*(-24)\/(-18)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 2)*(-24)\/(-12). Let d be -2 - (-1)\/(-3 + 2). Suppose -33 + 78 = 4*l - 3*g, -g + 24 = 3*l. Sort -4, l, v, d in ascending order.\nAnswer: -4, d, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7331560 is divided by 385869?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32 + 32 + 15)*(46*i + 37 - 37) to l + v*i and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 2*g**2 + 12*g - 23. Let b be x(2). Suppose 4*y = 5*t + 7*y + 19, -9 = 3*y. Put -5, b, t in decreasing order.\nAnswer: b, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = 17*u - 51*u - 714 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -7. Let i = 20.1 - 20. Which is the nearest to i? (a) -1\/7 (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - u + 2, -6*a + u + 8 = -4*a. Let d = -13 + 24. What is the least common multiple of (8 - a) + (-1)\/1 and d?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6837, 6863, 6919, 7017, 7169, 7387, 7683, 8069?\nAnswer: 8557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (1 + (-3 - -1)). Suppose 18 = 5*q + b. Suppose -452 - 85 = -q*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 8, 160 = m + 2*m + 2*x. Suppose 2*s - 156 = 3*j, -2*s - 3*j = 2*s - 348. Calculate the greatest common factor of m and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 11:36 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - (-4 - (4 - (-2 - 5)))) + (3 - 47)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 27 - (26 + -22 + 3 + -2 + 4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z**3 + 386*z**2 - 552*z + 7144. Calculate t(76).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 8*a + 25*a = 390 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -6484*v - 683. What is h(0)?\nAnswer: -683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 11*d + 15. Let o be r(2). Let n(k) = k**2 + k + 26. Let j be n(0). Let w = o + j. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 144\/559 - 330945\/2236. Let j = -3553\/24 - a. Calculate the common denominator of j and 113\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*q - 46 - 10*q + 45)*(69 + 50 - 67).\nAnswer: -988*q - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1294328, 1294323, 1294314, 1294301, 1294284, 1294263?\n\"Answer: -2*i**2 + i + 1294329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 162413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = 2*b + 4*d, -135*d = 4*b - 133*d - 346. Calculate the highest common factor of 493 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 38838.\nAnswer: 116514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/30 + 1\/30. Let j = 0.1 - 0.1. Let f = 344.4 + -344. What is the nearest to j in -0.5, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 19 + -24 + (114\/(-4))\/(12\/(-2)). Which is the third biggest value? (a) -36\/7 (b) h (c) 1\/5 (d) -3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 13*i**2 - 23*i + 21. Let r be f(11). Suppose -r = 4*m - 78. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3004 + 10?\nAnswer: -2444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2748713946 - 15*c + 2748713946.\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*y + 503 - 221 = -333 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**8\/14 - 5*w**4\/6 + w**3\/3 + w**2 - 34*w. Find the second derivative of p(c) wrt c.\nAnswer: -480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0, -3\/2, 3\/4, -0.265?\nAnswer: -0.265","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1426759.875 to the nearest one thousand.\nAnswer: -1427000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 2:51 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 2*x**2. Let b = 12 + -14. Let i(m) = 8*m**3 - 4*m**3 - 3*m**3 - m**2. Determine b*i(c) - z(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2351605311?\nAnswer: 3, 11, 7917863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 116936 a multiple of 376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + -17. Let a = j + 68. What is the greatest common divisor of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-10))\/((-17)\/((-680)\/(-16))). Let m = -2 + 1. Sort m, 0, g in increasing order.\nAnswer: m, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 76*m**2 + 3*m. Let p be q(1). Suppose 43*u + 7 = -p. What is the third biggest value in -3\/2, u, -2\/33?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y**3 + 2*y**2 - 5*y - 6. Suppose 6*r = 2*r - 16. Let f be j(r). Suppose -8*u + f = -426. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 17\/(-5) - -3 - (-2688)\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o - 4. Let z be n(-2). Let v be (-2)\/4*z\/(-2). Solve v = -s - s - 5*l - 15, 3*l = 3*s - 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.4 + -14.4. Put l, -6, -4, -0.02, -2 in descending order.\nAnswer: l, -0.02, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*(sqrt(171) - (sqrt(171) + sqrt(171)*2)) + sqrt(171) + sqrt(171)))\/(-5*((sqrt(441) - -1*sqrt(441)) + sqrt(441))).\nAnswer: 4*sqrt(19)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000092714321 to seven decimal places.\nAnswer: -0.0000927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37683 and 901.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5. Let i(h) = -8*h - 80. Let w(k) = k - 3. Let j(l) = -3*i(l) - 30*w(l). Let c(p) = -2*j(p) - 132*s(p). Let q(o) = 3*o. Calculate c(q(r)).\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u\/u**(14\/5)))\/(u*u\/u**(5\/8)*u) assuming u is positive.\nAnswer: u**(97\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + 33.9. Let c = 34.2 - m. Let q = -4 - 9. What is the smallest value in q, c, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2 - 2)*(1 - 4 + 1) - 2*f - 1 + 1 + (0 - 1 - 1)*(-3*f + f + 4*f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**5\/110 + g**4\/22 - 4*g**2\/11 + 363*g. Find w such that x(w) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4109*m**3 + 12*m**2 - 2.\nAnswer: 24654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7 = -5. Let y(l) = -l**3 + 21*l**2 + 29*l + 2. Let k be y(22). Suppose 3*d - p*d = -k. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 20*(-1 - 0). Let n = 22 - x. Solve n = 3*i - 0*i - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*y + 14723, 5*y + 28535 + 905 = 2*p. Is p a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 + 32*u - 120. Calculate the remainder when t(-17) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 2 - (-23 - -30)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 2. Let j be w(6). Suppose -k = k + 5*i - 196, -j*k = 3*i - 364. Suppose k = 9*l - 1010. List the prime factors of l.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6113195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1881 divide 2648665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r + 2. Suppose -4*a = -0*a - 40. Let w be o(a). What is the greatest common divisor of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 234 + 228 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 8:38 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 62.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011110212110202 + -101?\nAnswer: -1011110212111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 2. Let f be (-10)\/6*(10 - y). Solve 0 = -g + f*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -675 * 348.\nAnswer: -234900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 2*w + 2. Let m = 40 + -44. Let z be f(m). Suppose -z*s = -29*s + 288. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 + 1001000001010100000000?\nAnswer: 1001000001010011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 4*q - 36, 7*h + 47*q - 45*q + 122 = 0 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14156329 is divided by 2623?\nAnswer: 2621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1226 - -1230. Solve r*a + 4*t - 5*t = 16, -2*t = 4*a - 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123.3 + 123. Which is the third biggest value? (a) i (b) 8 (c) 1\/2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*z - 5. Let m(u) = -2*u - 5. Let l be m(z). Suppose s + 3*n = 12 + 11, l*s - 2*n - 30 = 0. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1032 + -10?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 664 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + s - 2. Let n be a(2). Let t be ((-3)\/(-2))\/(n\/(-16)). Calculate the greatest common divisor of t and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 209.490331218 + -0.490331778. Let n = w - 209. What is n rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86697552 to the power of 1\/3, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -153 + 12 - 89*l + 87*l in the form w + h*l and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4245 divided by -5?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 2*o. Let a(g) = 5*g**2 + 9*g. Let j(y) = 4*a(y) - 18*w(y). Let c(b) = -13*b**2. What is j(c(i))?\nAnswer: 338*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30076 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (50\/35)\/((-3)\/(-63)) and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38663 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 7 - 4*m)*(67 + 931 + 299) in the form t + d*m and give d.\nAnswer: -5188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 + 130*q - 985. Determine o(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*o - 11008 = -10873. Let y(g) = 4*g**3 - 5*g**2 - 7*g. What is y(o)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -7*y + 531. Let j be a(40). Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246155 to the power of 1\/2, to the nearest integer?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppasjpjzsppjpssap. Give prob of picking 3 p and 1 j.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2*x + 24 = 0, -3*x + 8*x - 10 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*b - 92*b + 13464. What is the greatest common divisor of 671 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 768871183609*a**2\/5 - 22798178*a\/5 + 169\/5 = 0 for a.\nAnswer: 13\/876853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 12*s - 21. Determine l(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 924*n - 1350 with respect to n.\nAnswer: 924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -1\/3*l**2 - 1452*l - 1581228 = 0?\nAnswer: -2178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/4016 and 13\/130771?\nAnswer: 2092336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 243 = 20*x. List the prime factors of -20002*x\/162 - (-6)\/(-27).\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 + 135. Suppose 2*w - 6*k + k + 160 = 0, w = 2*k - l. Let z = 161 + w. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1778336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**2 - 9*w**2 - 5 - 3*w**2 + 5.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i - 31*i - 21*i + 2*i**2 + 77*i.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5 - 7. Solve 0 = a*u - u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0129 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 199 + -195. Suppose 0 = k*b - 5*m - 5, b + b + 3 = -3*m. Solve 0*v + 2*v = b, 3*d - 4*v = -15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 84\/(-18)*60\/(-2). Suppose m = -4*m + x. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 12. Let d be u(9). Find the second derivative of -a - 99*a**4 + a**d + 100*a**4 + 14 - 2*a**3 wrt a.\nAnswer: 12*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1357 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**0)**(8\/3))**(-3\/7))**18 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -80*y + 303221 + 1631179. Is y a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -47275\nAnswer: 4\/47275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)*r)**39)**(-17) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*t - 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2194 = -38*u + 2194 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + x. Let f(u) = -7*u**2 - 2*u. Give -f(b) - o(b).\nAnswer: 6*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4647 + 8860. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2129\/24 + -593\/6. Let j(m) = m**3 + 14*m**2 + 25*m + 13. Let i be j(-12). What is the common denominator of l and 1 + 2 + i\/(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*y - 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24*c**3 - c**2 + 23 wrt c?\nAnswer: -72*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwppwwpp. Give prob of picking 3 p.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n. Let u be f(-1). Suppose 2*x = u + 9. Solve 2*w = 2*k + 16, -x + 27 = -w - 5*k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109182*s**5 - 108107*s wrt s?\nAnswer: 2183640*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 35.5, -11, 58.7, -1 in decreasing order.\nAnswer: 58.7, 35.5, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 2*n - 28 = 0, 4*i - n = 4*n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 3262*l**2 - 1551*l**2 - 1718*l**2 + 20 - 50.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2600)*-2 - sqrt(2600))\/(-3*sqrt(4)\/sqrt(2)) + 0)**2.\nAnswer: 20800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 13, z: 2, f: 2, w: 2}. Give prob of picking 2 w and 1 z.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7035769203.\nAnswer: 3, 251, 757, 12343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6 + 128\/24. Let h(v) = 36*v**3 + 3*v**2 + 4*v - 8. Let i be h(y). What is i rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, q: 8}. Give prob of sequence kkq.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2905, 7167, 12777, 19741, 28065, 37755, 48817, 61257?\n\"Answer: t**3 + 668*t**2 + 2251*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/155 + 19\/31. Let n be 11 + -3 + (-240)\/36. Let o = 6 + -6.1. What is the nearest to o in p, 4, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -577001, -576842, -576683, -576524, -576365?\nAnswer: -576206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452 = 5*c + 4*f, 2*f - f + 278 = 3*c. What is the units digit of (c\/10)\/((-8)\/(-440))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -339*f + 1720 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**2 + 61*p + 20. What is q(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 7. Let j = 3 - u. Solve -4*x = 3 + j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 21 + 18 - 8*j)*(16*j - 12*j + 18*j).\nAnswer: -176*j**2 + 176*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75309 is divided by 127.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 6*c**2 + 5*c + 5. Let d = -107 - -102. Let l(y) = y + 2 + 2*y**2 - 1 - y**2. Give d*l(i) + h(i).\nAnswer: -i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(720) + sqrt(720) + 1)**2 + -5.\nAnswer: -72*sqrt(5) + 6476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -2. Find the common denominator of 137\/6 and (s\/54)\/((-3)\/426).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -306045 and -5814877\/19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*a = -7*a + 55, 3*w - 5*a - 70 = 0. What is the remainder when w is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244073 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*2\/(0 + 6). Let r(j) = -j**2 + 5*j + 4. Let h(c) = -4*c + 0*c + 1 + 5*c. Let w(p) = m*r(p) - 4*h(p). What is the second derivative of w(a) wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21748.096 - 21741. What is j rounded to one decimal place?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1027 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8*2\/(-1*8). Let v(q) be the second derivative of q**3\/6 - 4*q. Let c be v(4). Solve l*d = 4 + c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24535 (base 7) in base 6?\nAnswer: -45501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11 - 2268\/204)\/((-30)\/(-56)). Let b = -1\/51 - z. Factor 0*t + 0*t**2 - 1\/5*t**3 + 0 - b*t**4.\nAnswer: -t**3*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + 49)\/(2\/14*52\/442).\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**6\/45 - b**5\/15 - b**4\/12 + 11*b**3\/3 - 44. Let u(o) be the third derivative of l(o). Determine c, given that u(c) = 0.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((-3 - -2) + 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 104*h**2 - 400*h + 35625.\nAnswer: 208*h - 400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-3)*((-5985)\/(-6))\/7. What is the greatest common factor of 38 and v?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -132. Let c = x + -64. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20550 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3\/13 + 94075198*f**2\/13 - 1106267906879998*f\/13 + 1106267812804802\/13 = 0. What is f?\nAnswer: 1, 23518799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 3505 (c) 5\/157\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**3 + 11892542*h**2 + 380559808*h + 3044474368 = 0. Calculate h.\nAnswer: -5946239, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*w**5 - 4*w**5 - 6*w**5 + (w**2 - 4 + 4)*(-5*w**3 + 4*w**3 + 3*w**3) - w**5 - w**5 + 4*w**5 + 10*w**5 - 9*w**5 - 10*w**5.\nAnswer: -3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -869.507738 rounded to the nearest 10?\nAnswer: -870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 9. Let z(p) = p**3 - 7*p**2 + 7*p + 8. Let o be z(5). Let h be i(o). Solve 3*n + 4*g = -4, 3*g = -2*n - 0*n - h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 2:16 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0360672 or 1\/40?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 8*s - 5*s + (-4 + 0 + 3)*(-s - s + 0*s))*(s**4 + 0 + 0).\nAnswer: -13*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/1118 and -69\/15620696.\nAnswer: 15620696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 902 (base 15) to base 3.\nAnswer: 2210002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/73 in 0.01, 0.2, -2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 970 a factor of 2208690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*l - 176 = -4194 - 1000 - 589 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -285 divided by 57?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 454019*r - 15 - 7 - 454022*r. Let c(n) = -n - 7. Let f be c(0). What is x(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.261999177 - 4.262. Round d to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 81440 + -57341. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 + 229151*n\/4 - 2291910.\nAnswer: (n - 40)*(n + 229191)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*d - 56*d + 3*z = -10, -3*d + 15 = 2*z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/2*(-2 - (0 + -2)). Let w be ((-8)\/(-10))\/(5\/75). Let t = 14 - w. Solve a = t*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-95)\/912*(-56)\/7?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2\/5 + 246092*f\/5 - 147648.\nAnswer: -4*(f - 61520)*(f - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -51 - 25. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k. Suppose -32 = -3*q + 2*b, 2*q + 2*b = -2*q + 38. Let s = 440 - 434. Let f(z) = -q*z**2 - 11*z**2 - s*z**2. Give f(i(a)).\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + 4 - (-432 + 463)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4\/4 + 85577*x**3\/4 + 798973*x**2\/4 + 199763*x\/4 - 256815\/2 = 0 for x.\nAnswer: -9, -1, 2\/3, 28535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -16*(-2)\/4 + -3. Suppose -5*o + 2*a = -7, 0*a - 4*a + 31 = b*o. Solve -o*x = -4 + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 3*b**3)*(-7*b**2 - 3*b**2 + 4*b**2) + 3 - 3 + 2*b**5 - 3 + 2*b**5 + 3.\nAnswer: 22*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8*8\/(-32) + 4 - -162. Calculate the highest common divisor of 30 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6568357 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 2*b + 14 = 0, 5*b - 15 = 12*v - 17*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -17, 0, -2, -3, 110 in descending order.\nAnswer: 110, 5, 0, -2, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 9*r + 11. Let g be o(-8). Suppose -m = 3*m - 12. Solve m*b - 9 = g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48196119 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8652 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhh when three letters picked without replacement from {f: 3, m: 1, o: 1, h: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 16. Let j = s + 27. What is the highest common divisor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 87 - 15 = 0. Suppose 12*n = 9*n + b. Put 1, 3, n in ascending order.\nAnswer: 1, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q - 11. Suppose 3*l = -2*l + 35. Let i(f) = 122 - 117 - f - f. Calculate l*i(b) + 3*v(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (6 - 19)) + 18 - (-9 + -1).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-21)\/u)\/(u\/(u\/u**(-2\/15)))*u\/u**21*u**(-10\/11)\/u assuming u is positive.\nAnswer: u**(-7223\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 2055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159560 is divided by 554.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 + 14*d - 24. Let p be k(5). Sort -1, p, -7\/5 in decreasing order.\nAnswer: -1, -7\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a**4 - 13. Let d(f) = f**4. Let v(y) = -6*d(y) + u(y). Find the first derivative of v(b) wrt b.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 23*j**2 + 128*j + 262. Give p(28).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/2))**(-1\/3)\/(v**(-17\/6)\/(v*v**14\/v)) assuming v is positive.\nAnswer: v**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 255 and -79.\nAnswer: -20145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81057603 + 5469.\nAnswer: -81052134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*x + 16. Let y be x + (-3 - -1)*1. Solve -y*q - 2*q - 12 = 5*s, 0 = -5*q - 5*s - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 9756499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1\/n**7)\/(n**(-2\/5))**(-19) assuming n is positive.\nAnswer: n**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1570 divided by 314\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 1)*(-10 - 3*a + 10) + (5 - 6 + 0)*(-11*a - 7*a + 3*a) in the form x*a + k and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000039636 to six dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9214403?\nAnswer: 11, 837673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 484 - 1316 = 0. Let o = n - -1269. What are the prime factors of o\/6*(-4 + 6) + 1?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/2104 and -46\/1841.\nAnswer: 14728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -2*g - 17 + 1, -3*r + 60 = -9*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/22 + 6\/33. Suppose -5*v + 30 = -4*i, 10 - 20 = 5*v + 4*i. Sort h, v, -96 in increasing order.\nAnswer: -96, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1, 4, -0.01678, -2\/17, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011111100001110 - -110011100011?\nAnswer: 101100101111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-6) + (-287)\/21. Let w(a) be the second derivative of -2*a**3\/3 + 15*a**2 + 12*a. What is the units digit of w(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 9 - 11 = 0. Let l = 4 + j. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -57, -51, -45?\n\"Answer: 6*s - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -0.3 (c) -0.4 (d) -4 (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - (16 - (50 - (-17 + 19 - -16))).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-76)*-10)\/(52\/(3120\/(-30))).\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 566 divided by -358?\nAnswer: -283\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 4 + -4 - (-13 + 9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9747 plus 537?\nAnswer: -9210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + h**2 + h - 1. Let n(j) = -10*j**3 - 5*j**2 - 5*j + 7. Suppose s = -2*s - 5*r - 8, 4*s + r = -5. Let o(w) = s*n(w) - 6*g(w). What is o(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 0, -1174956, 5 in ascending order.\nAnswer: -1174956, -33, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1339 - -954. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.966235kg in grams?\nAnswer: 966.235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5+1.5\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 356c87 (base 15) in base 6?\nAnswer: 130425331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 65312 divided by -1?\nAnswer: -65312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 10 + 40 = 0. Let v = 15 - n. Suppose v = -2*x + 4*x - 3*f + 18800003, 2*x + 18799999 = -f. Round x to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*1\/(-6)*(-308)\/22. Suppose 2*h = -4 - 2. Put h, -8, t in decreasing order.\nAnswer: h, t, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -6*y - 23*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j**3 + j**2 + 1 + 21*j - 11*j - 2*j**3 - 12*j. Let g = 3 - 2. Let x be l(g). Sort 2, -5, x in increasing order.\nAnswer: -5, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(13) + 3 + 4.\nAnswer: sqrt(13) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10010111 (base 2) to base 3\nAnswer: 12121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 20523107?\nAnswer: 20523111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 1356237.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3385230\/11 + -308007. Let h = r + 259. Which is bigger: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -206562*l**2 + 3*l + 858439 wrt l?\nAnswer: -413124*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -52004? (a) -4 (b) 17 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 0 + -12 + 3 - 14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*t - 409*t - 1729 = 0 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -638a (base 15) to base 5.\nAnswer: -1133210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 74.21971 millilitres?\nAnswer: 0.07421971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1355*m**2 + 1261*m**2 - 2338*m**2. Let i(x) = -2*x. Determine i(k(q)).\nAnswer: -556*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22623 - 203609\/9. What is the nearest to 0 in 4, 94, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.44516 - 91.32216. Let r = 90 + b. What is r rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -382 - -428. Let p be (-158)\/(-14) - 4\/14. Let o = 13 + p. Calculate the remainder when g is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-11 + 4)) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 61493, 122985, 184477, 245969, 307461, 368953?\n\"Answer: 61492*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**4 + 12*k**2 - 12*k**2)*(4*k - 8*k - 2*k)*((-4 + 2 + 3)*(1 - 1 - 1) + 1 - 4 - 2 + (2 + 3 - 4)*(-1 + 4 + 0) + 5 - 2 - 1).\nAnswer: 36*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1351?\nAnswer: 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 30 - 6*p**2 - 33 - 8*p + 0*p - p**3. Determine z(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 19\/20 (b) -4\/11 (c) -5 (d) 68 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1\/o)**0\/(o**(-3\/8)\/((o**(-7)*o)\/o)))\/((o\/o**8*o)\/(o\/(o**(2\/11)\/o)))**9 assuming o is positive.\nAnswer: o**(5609\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197591668?\nAnswer: 2, 887, 55691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k**2 - 5*k - 2. Let d = -11 + 15. Let x(q) = q. Let g be x(d). Let z(n) = 9*n**2 - 4*n - 3. Let v(w) = g*t(w) - 5*z(w). Differentiate v(b) wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -867400.3 rounded to the nearest ten thousand?\nAnswer: -870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 818.517441 to the nearest ten.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.26 (b) 288 (c) 4 (d) -6 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5133*c = -5099*c. What is the third biggest value in -1, 0.1, 0.3, c, -2\/15?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7678?\nAnswer: 2, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**4 + 2055*u**3 - 40760*u**2 + 38700*u = 0.\nAnswer: -430, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -176682, -353354, -530026, -706698, -883370?\n\"Answer: -176672*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 33. What is the least common multiple of 7 and l?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 - -21 - (-784)\/8. Solve -s = 4*m - 103 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 540 and 780?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 + 2*k + 1. Let q(a) = -a**2 + 4*a + 2. Let u = 2 + 2. Let l be q(u). What is c(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + sqrt(84)*-1)*-6)\/(-2*sqrt(588)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v + 20. Let h be l(0). What is the greatest common divisor of h and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 301477 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 1\/2*q**3 - 5\/12*q**4 + 0 + 5\/2*q**2 + 1\/20*q**5 + 17*q. Calculate z(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 495 = l - 3*y, 2*l - 5*y = 351. Is l a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.4 (b) 2\/7 (c) 27 (d) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -55493359 and -55493358 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**2 - 6*l + 3. Let t be w(3). Suppose y - 65 = -4*y - 5*v, -2*y + t = 3*v. Let o(f) = f - 12. Give o(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102 - 98. Let s be (1152\/20)\/4 + i\/(-10). Let y(q) = -6*q + 8. Let b be y(-8). What is the greatest common divisor of s and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l - 72. Let n(k) = -4*k - 103. Let t(r) = 3*m(r) - 2*n(r). Suppose -3*g + 6 - 24 = 0. What is t(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346313355257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/468)\/(4\/(-18))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 11772451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.4 (b) -4 (c) 78 (d) 4 (e) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3212 - -3213. Suppose 0 = 4*q + 3*f + 2*f - 5, -4 = -3*q - 4*f. Sort -3, q, i in decreasing order.\nAnswer: i, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in centimeters?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + q = 4*q - 210, -10*j + 1034 - 1504 = 4*q for j.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/9*30\/4. Suppose -5*w - 15 = -i*w. Let h be (0 - 1) + (4 - w). Solve 3*s = h, q - 5*s + 5 = -0*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (970\/4)\/(4*6\/48). What is the highest common factor of k and 388?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3917.\nAnswer: 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3043972126?\nAnswer: 2, 13, 89, 167, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnp when three letters picked without replacement from {p: 3, s: 3, n: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*x = -32*x + 219*x + 687 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23 + -22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -39858 divided by 39858?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 100212100011 (base 3) in base 6?\nAnswer: 4054521","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 24*v + 100. Is n(24) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*n + 11*n + 18*n)*(2*n + 3 - 3) - 22*n**2 + 49*n**2 - 33*n**2.\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -228*d - 397. What are the prime factors of n(-8)?\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 4*o + 3. Let s be i(3). Suppose -b = -s*b. Let t(f) = -2*f + 2 + f - 2 + 1. What is t(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1873850928 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3837255482 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/291 and 26\/5535?\nAnswer: 536895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from llll.\nAnswer: 1","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: What is 4501 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6))\/(14\/(-8))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iriciier. Give prob of picking 1 r and 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**7))\/u)\/u**(-3\/4))\/(u**(1\/2))**(-33) assuming u is positive.\nAnswer: u**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((-3 - 32\/(-12)) + (-8)\/(-24)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 9*m + 10. Let x be o(-7). Let l be (1\/x)\/((-2)\/8). Solve -2*v + l - 11 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 19) + (-505)\/(-35)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.361?\nAnswer: -0.1444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 50*r**2 - 6*r**2 - 8 + 9 to the form d*r**2 + f + c*r and give d.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 200384\/87717 + 16\/12531. Factor -12\/7*w + a + 2\/7*w**2.\nAnswer: 2*(w - 4)*(w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.839 + -8.161. Which is the smallest value? (a) i (b) 6 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + sqrt(637) + 5*-1*sqrt(637) + -1 + -1)**2.\nAnswer: 56*sqrt(13) + 10193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 452 in -7\/2, -3, 0.3, -4, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3 + 5\/3. Solve -2*r = -w*v - 4, v = -r + 1 - 9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**18\/b))\/b)**(-16)\/(b*b**(-7)*b*b\/b**36) assuming b is positive.\nAnswer: b**312","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6702 + 3353 + 3346 + 188*i + 2*i**2)*(3*i + 1 - 1).\nAnswer: 6*i**3 + 564*i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - 60) + 25 - (54 - (-3 - -7)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, l: 1, v: 3, n: 5, y: 1}. Give prob of picking 1 n, 1 y, and 1 e.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.641406 decades to centuries.\nAnswer: 0.7641406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16527 + -15925. Calculate the remainder when s is divided by 581.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - (-29 - -9)) + (-3 - 0) - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*t - 339 = -53*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*d**4 + 7*d**2 + 14*d**2 - 14*d**3 - 1875*d + 1868*d - 21*d**2 in the form s + i*d + c*d**4 + q*d**2 + v*d**3 and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 4. Suppose -37*t = -110*t + 365. Suppose s + 3*s + c = 438, t*s + x*c = 549. List the prime factors of s.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 26*v**3 - 19*v**3 + 0 - 14*v**3 + 62*v**3 + 4.\nAnswer: 3*v**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + 0. Let g = -3 - -8. Let k be (-33 - (5 - 36))\/((-2)\/4). Solve -5*q + k*p = -g, x = 5*q + 2*p - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -30, -4, 1, -22421 in increasing order.\nAnswer: -22421, -30, -4, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 255833080?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 106*u - 235. Let v(r) = 105*r - 237. Let s(b) = 7*f(b) - 6*v(b). What are the prime factors of s(11)?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*o - 3. Suppose -113 = -o*a + 109. Is 2 + -2 + a + -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 62700.\nAnswer: 62700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 - 2770499208304.\nAnswer: -2770499208313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g**3 + 2*g**2 - 2*g + 3. Let v be f(3). Let y = v - 115. Calculate the remainder when y is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6721.675l?\nAnswer: 6721675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*m**2 - 2*m**3 + 27*m**2 + 29*m**2.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -55 and -182258?\nAnswer: 182203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 4)*(3 + -10). Let x be 1\/(-9) - g\/21. Which is the second biggest value? (a) 0.5 (b) x (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 13) in base 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 + f8?\nAnswer: e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 34 = b, 20*p = -3*b + 19*p - 24. Let r(x) = -3*x + 8. Calculate r(b).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + (sqrt(152) - -6*sqrt(152)))\/sqrt(8) + (sqrt(190)*-4)\/sqrt(10))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 8*x + 12. Let b be m(-6). Let n(f) = f**2 + f. Let r be n(b). Sort -2, r, 5 in descending order.\nAnswer: 5, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 558\/27 + (-4)\/(-18)*-3. Calculate the greatest common factor of 290 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 14. What is the smallest common multiple of 14 and 6\/2 - (t + -15)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112680 and 720?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1057820 and 19\/2327204?\nAnswer: 11636020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6 = -14. Solve -z = i*z + 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 89449875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9*x - 4. What is b(4)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times -2.054173?\nAnswer: -0.10270865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -32. Suppose z*f - 3 = -1. Suppose -4*d = 5*c - f, -5*d - 4*c - 2 = -1. Sort -2, d, 2 in increasing order.\nAnswer: -2, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.744 + -0.9.\nAnswer: -3.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6 + 9 - 3 + 33*v. What are the prime factors of z(2)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52658 in 4, -3, 58?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/3 (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 439656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4757 (base 14) to base 4\nAnswer: -3002021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - -0.1. Suppose 0 = -j + 2, 6*z - 41 = 3*z - j. Let h be ((-3)\/6)\/(((-78)\/204)\/z). Put -1\/3, q, h in ascending order.\nAnswer: -1\/3, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 7. Let l be (-50)\/(-6) + (182 - 190). What is the second biggest value in f, l, -0.2, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80348797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 970120 to the power of 1\/2, to the nearest integer?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + i + 32. Let p(a) be the second derivative of a**4\/3 - a**3 + 13*a**2\/2 - 4*a. Is p(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*m - 1791 = 2817. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*w + 290*w - 30 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -21. Let s be (-1 - -106) + 16 + o. Suppose 5*x - 30 - 30 = 0. What is the greatest common factor of s and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1088*u**2 - 1659*u**2 - 1936*u**2)*((0 - u**2 + 0)*(4 - 1 - 4) + u + 2*u**2 - u).\nAnswer: -7521*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*v**4 + 45*v**4 + 8*v**4 + (-3*v - 3*v + 8*v)*(v**3 - v**3 + v**3) - 3*v**4 + 6*v**4 - 4*v**4 + (-6*v**3 + v**3 + 3*v**3)*(-4*v + 4*v - 2*v).\nAnswer: 47*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -10121?\nAnswer: -10123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {b: 3, z: 3, c: 2, i: 11}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*f + 1, f - 2 = p - f. Suppose 20 = 4*o, -5*o = 2*i - 3*o - 32. Let m = i + p. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -17. Which is the biggest value? (a) j (b) 2\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/13*(-364)\/(-392).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s - 1. Let k be f(0). Is (-80)\/k - (-3 + 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/10509147 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 3\/2 (c) 13 (d) -0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/742*(6\/12)\/1\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -5, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 13*x**2 - 12*x + 5. Let u be h(12). Suppose 4*f + 40 = u*r + 146, -124 = -5*f + 2*r. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1\/3)*t)\/t)**0)**46 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, e: 8, j: 2, r: 2, a: 2}. What is prob of picking 1 j and 1 a?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s**3 - 72*s**2 - 101*s - 100. Let a(v) = 8*v**3 + 99*v**2 + 135*v + 134. Determine -8*a(q) - 11*w(q).\nAnswer: 2*q**3 + 31*q + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cecc. Give prob of sequence ccc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723756 is divided by 241214.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfx when three letters picked without replacement from fsxstjjjfxjjsjjuj?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 2*h**2 - h - 9. Let q be n(-4). Find the common denominator of 11\/16 and ((-2)\/(-6))\/((-30)\/q).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owww. Give prob of picking 3 w.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1575 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -376511014.4 rounded to the nearest one million?\nAnswer: -377000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 216*l**3 - 4*l + 25*l**3 + l**2 + 5*l to g + z*l**2 + j*l + f*l**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -5 - -9) + (1 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -15*l - 155. Let n be c(-11). Let h = 7 + -4. Suppose 5*u - n = -h*z, -4*u + 4 = -2*u + z. Solve 3*a - 5*t = 21, u*a + 3 = -a - 3*t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**4\/12 - l**3\/6 + 26*l**2. Let t(z) be the second derivative of -5*z**3\/3 - 3*z**2 - z. Calculate 11*h(p) - 2*t(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26204, -26206, -26208, -26210?\nAnswer: -26212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2)*(-20 - -1538). Let j = -292 - o. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f - 986*f**2 + 1054*f**2 + 2*f**3 - 4*f to x*f + y + j*f**3 + v*f**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90156 is divided by 22535?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 + 3. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 3*g - 11. Let k be 1\/(8\/6*27\/72). Let z(h) = 6*h**2 + 16*h + 56. Let w(s) = k*z(s) + 11*l(s). Let f be w(-3). Solve f*n + 4 = 19 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 2 + (-106)\/18. Let r(d) = d**3 - 18*d**2 - 43*d + 770. Let s be r(18). Is s <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177390391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*y - 61*y - 48*y + 171*y - 30*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 - 3*y**2 - y**2. Let p(j) be the first derivative of 0*j - 17\/2*j**2 - 186. Determine p(f(d)).\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/24*(0 + -6). What is the second biggest value in 2, 26, 5, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 take away -67.39?\nAnswer: 17.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + 26346949*q - 26346964*q - 3*q**2.\nAnswer: -7*q**2 - 15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 2:58 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 48\/(-20)*(-20)\/6. Suppose t - 23 = -5*s. Factor -6*n**4 - 12*n**2 + 12*n**s + 6*n**5 + 13*n**4 + 14*n**4.\nAnswer: 3*n**2*(n + 2)**2*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -3 (c) -0.17 (d) 1\/3 (e) -0.5 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.047, 1\/6, -5\/3, 1\/8?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/2)\/((-58)\/99093116) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -89*q**2 - 125*q + 351. Give b(3).\nAnswer: -825","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33276 divided by -236?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 556.3 + -556. Which is the nearest to 0.2? (a) m (b) 2.3 (c) 2\/9 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-4)*(-9)\/((-108)\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/40 and 57\/28.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*r = -6*c, -c - 3 = -2*r. Suppose c*s = -92 + 389. Do 99 and s have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 + 285. Let f = j - 121. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 10. Let i = 27 - x. Suppose -2*q - 9*q = -143. Calculate the greatest common divisor of i and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4308*b**2*z + 2*b**2 - 119*b*z - 3*z - 5104566 wrt z?\nAnswer: -4308*b**2 - 119*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 2707*p - 21625. Calculate t(-8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14*102\/(-46053))\/(10\/15).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwk when three letters picked without replacement from {k: 1, p: 3, w: 12}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 9, w: 2, g: 2}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 7 + 2*k)*(5 - 3 + 2).\nAnswer: 8*k + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -125251 minus 9544.994364?\nAnswer: -134795.994364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 227040 and 1650.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - y**2 + 2*y. Let a(z) = -43*z - 212. Let f be a(-5). Let k(p) = -p. What is f*k(d) + 2*b(d)?\nAnswer: 2*d**3 - 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 6*s = 4*c + 2, 3*s + 5*c = 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 98*i**2 - 209*i - 1012. What is the remainder when p(-96) is divided by 273?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.81565 rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minus 7054?\nAnswer: -6873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26633*w = -293359 + 826019 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -86 times 797044\nAnswer: -68545784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 9. Let f be (-69)\/(-9) + (-2)\/(-6). Let u be (2 - 2) + (f - 3). Solve 2*g + 5 = -r, 5*g = r - u - s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 8*a = -0*a + 20, -5*t = 3*a + 22 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -63, 17, 167, 423, 821, 1397, 2187, 3227?\n\"Answer: 6*a**3 - a**2 + 41*a - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 234 = 5*c, c - 8*s + 66 = -3*s. Let y = 10 + c. Let f = 79 + y. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -150 - 133*c - 732*c**2 - 22 + 731*c**2 with respect to c.\nAnswer: -2*c - 133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*k - 218 + 2*k + 5 - 227*k**2 + 23 - 104 wrt k.\nAnswer: -454*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n - 6. Let q be h(2). Calculate the highest common divisor of q and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 4:08 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138049 and 5461?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.28 + 2.38. Let r = -0.1 - -0.1. Put r, s, 2 in increasing order.\nAnswer: r, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158709, 158707, 158705?\nAnswer: 158703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -117820\/18971 - -381\/61. Calculate the common denominator of w and 9\/5.\nAnswer: 1555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12563506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**2 - y**2 - 3*y**2)*(6*y + 0*y - 8*y - 2*y**2).\nAnswer: -4*y**4 - 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*p - 1026 = -238, 160 = q - 3*p. Let m(v) = v**2 + 36*v - 179. Let h be m(9). Suppose 4*c + 2*y = h, 0*c + q = 3*c + 4*y. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 24 + 11*g**2 + 1 + 10*g - 3 + 1. Calculate the smallest common multiple of u(-10) and 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 292047647 to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -14. Let w(h) = -h**3 - 8*h**2 + 2*h + 17. Let f be w(n). Is f*((-4 - -4) + 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48966*l**5 - 8*l**2 + 59452*l - 1?\nAnswer: 979320*l**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7119205 - 315795. What is w rounded to the nearest 100000?\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/3 - 8*b**2\/3 + 13*b\/3 - 2 = 0 for b.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l + 3. Suppose 8734*c - 8712*c = -132. Suppose -14 = -3*w + 28. Let r(o) = -11*o + 7. Give c*r(k) + w*s(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.062033117 rounded to four dps?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 611323?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3293346 divided by -3.\nAnswer: 1097782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3)*12\/2. What is the derivative of x - 2*a**3 + 2*a**3 + 0*a**3 + 2*a**3 wrt a?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413*o**3 - 243*o**3 - 1248*o**3.\nAnswer: -1904*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 601412062 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6156 divided by 6\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -279, -533, -725, -825, -803?\nAnswer: -629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(891)*1)**2 + ((sqrt(891)*2*-6)**2 - sqrt(891)) - (5 + ((sqrt(891) + 3*sqrt(891))*6)**2))*-1.\nAnswer: 9*sqrt(11) + 384029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46.76 and -2.\nAnswer: 93.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/9)\/(-4*4\/(-12))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sff when three letters picked without replacement from fffffsffsfff.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(228) + sqrt(228))*3 - -4*sqrt(228)*2)\/(sqrt(96)\/(sqrt(32)\/sqrt(36))).\nAnswer: 8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -165 + 378. Calculate the remainder when u is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25147\/3 - -8621. Which is smaller: 238 or p?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 - 71. Let p(f) = -22*f - 13*f + 32*f - 39. Let t be p(c). Solve -5*a - 23 - 2 = t, -2*a = 4*l - 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 14*b**2 - 6*b - 6. Let i(m) = 2*m**2 - m. Let n(u) = -5*i(u) + x(u). Let q be n(2). Factor q + 8\/3*g + 2\/9*g**2.\nAnswer: 2*(g + 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1553457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 483, 965, 1443, 1917, 2387?\nAnswer: 2853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 4872000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3403, -3393, -3377, -3355, -3327, -3293?\n\"Answer: 3*s**2 + s - 3407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.94 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*g + 1, -g = 5*c - 34. Sort 7, 2, c, 0.\nAnswer: 0, 2, c, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + m - 5. Suppose 0 = 3*o - 3*o + 12*o. Suppose 2*b = 2*w + 122, o = -2*b + 5*w + 82 + 46. Calculate the remainder when b is divided by h(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48316 divided by 5.\nAnswer: 48316\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 60*p**2.\nAnswer: -2*p**2*(p - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 - 307*n**2 - 123*n + 4590. Give b(-153).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -3 (c) 2\/45 (d) -1.51 (e) -1 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 3*o + 9)*(-482 - 390 + 180) to c + v*o and give v.\nAnswer: -2076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 4*w - 21, -2*l + w + 0*w + 63 = 0. Is 19 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - q**3 - 4*q**3 - 3*q**3)*(5 - 5 - q) to l*q + w*q**4 + b*q**2 + y + i*q**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7368955397?\nAnswer: 421, 17503457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 8006267.\nAnswer: 3\/8006267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, q: 11}. Give prob of sequence eq.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5951639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1063 + -1251?\nAnswer: -2314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)\/(sqrt(28)\/sqrt(4)) + -3 + sqrt(102)\/(sqrt(72)\/(sqrt(12)*2) + sqrt(6)))*3)**2*-2.\nAnswer: -1012 + 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1867.78303647 and 1.\nAnswer: -1866.78303647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9897 = 3*r + 3*u, -r - 3*u = -6*r - 16503. Round r to the nearest 100.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 791*m**5\/30 - 1537*m**4\/4 + 2*m**2 - 197. What is the second derivative of d(u) wrt u?\nAnswer: 3164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 4094788?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 11:52 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2297 - 2263. Calculate the remainder when 395 is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/((-704)\/(-168))*320\/(-30). Solve 0 = -53*z + c*z - 2*p + 15, 6 = -z + p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**2 + 0 + 86008349*b + 0 - 86008349*b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63154739.4 - -63154733.19000439. Let c = s + 6.21. What is c rounded to seven decimal places?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-140)\/(-25) + (-4)\/(-10). Let d(y) = 18*y**2 + 39. Let x(p) = p**2 + 2. Let w(b) = c*d(b) - 117*x(b). Let q(h) = h**2. Give q(w(u)).\nAnswer: 81*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*o**5 - 67398*o**4 + 316*o**2 - 81982*o + 6 wrt o?\nAnswer: 840*o**2 - 1617552*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 80*m + 1. Let c be y(1). What is the highest common divisor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3483.3 to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 431*k + 44*k + 244*k - 1 in the form i*k + j and give i.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -29*c**3 - 6*c**2 + 5*c + 15. Let r(o) = 30*o**3 + 5*o**2 - 4*o - 15. Let y(u) = -5*r(u) - 4*t(u). Differentiate y(n) with respect to n.\nAnswer: -102*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -734.9092 + 11387252.9092. Let a = -11386580.99879 + o. Let n = a + 63. Round n to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 196*f**3*k**2 + 85*f**3*k + 2854*f**3 - 1778*f**2*k**2 + 2*f*k**2 wrt k?\nAnswer: 392*f**3 - 3556*f**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -16*j**5 + 214*j**4 - 846*j**3 + 864*j**2 - 216*j = 0.\nAnswer: 0, 3\/8, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186 = -80*k + 986 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55189684261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8855 + 8864. Solve j = 4*z + 2, -i*j + 5*z - 3 = -5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -13*v**8\/168 + 4*v**4\/3 - 8*v**2. What is the second derivative of r(h) wrt h?\nAnswer: -520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -9*t - 2*z + 674, 3*t - 676 = -z. Is 225 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 8*u**5\/5 + 2*u**3 + 2. Find the third derivative of t(z) wrt z.\nAnswer: 192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 16*p + 16. Let y(g) = -2*g**2 + 16*g + 16. Let f(u) = -6*q(u) + 5*y(u). Factor f(j).\nAnswer: -4*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 15) to base 9.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16317 - -33548. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 645092997?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 244910 or 243232?\nAnswer: 244910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1683824379 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**3 - 8*p**2 - 5*p - 1. Determine q(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 640*h - 7413. What is the thousands digit of t(47)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, -2, 2, 9, -16 in increasing order.\nAnswer: -16, -2, 0.9, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2446 + -2398. Calculate the least common multiple of x and 72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5659341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11576989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -2)*(-64)\/1. Let a = 83 + -81. Suppose -2*p = -a*c + p + t, 4*c - 5*p - 126 = 0. Is 29 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 222*a*b + a*g + 49*a + 19*b*g**3 - 86*g**3 wrt g.\nAnswer: a + 57*b*g**2 - 258*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05 - -3.55. Let q = l + -3.4986. What is q rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/7, -1, -2\/5, -8\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.8 and -4947779779.\nAnswer: -4947779781.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-27) + 56\/(-90))*465. Let r be -3 + j\/(-26) - 4. Let t be 2\/(-8) + (-2 - -2). Which is the closest to t? (a) 0.5 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 835 divide 217539520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 41\/2 of a microsecond?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5847*t - 15834*t + 5827*t + 3 - 2 + 5612*t.\nAnswer: 1452*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/6 + 44\/3. Let f = -6 + 6. Suppose f = z - 4*z + 6. What is the greatest common factor of z and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, w: 6, r: 2, o: 1, z: 3, n: 2}. Give prob of picking 1 n, 1 o, and 1 z.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*j + 0*j - j)*(-2*j**2 + 1 - 1) + 96*j**2 - 96*j**2 - 14*j**3)*(3*j - 3*j + j).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2474?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56754620 and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -9553 to the nearest 100.\nAnswer: -9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 84723 = g - 84625, 0 = 6*g - i - 37 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1759, 6632, 14615, 25702, 39887?\nAnswer: 57164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2719 and -173515.\nAnswer: -471787285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*m - 35 = 0, 3*m - 19 = 4*p + 2*m. Let d be (-11)\/(77\/(-42)) - 9. What is the fourth smallest value in 0, d, 1\/4, p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1367 divided by 11214\nAnswer: 1367\/11214","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*p - 14 = 6, 2*p = 3*d - 10. Let k = -6 + d. Let t = k + 13. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/6 - 5*b**3\/6 + b**2\/2 + 5*b\/6 - 2\/3.\nAnswer: (b - 4)*(b - 1)**2*(b + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 8800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.19, 2.\nAnswer: 0.19, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (17 + -38)\/((-3)\/10856). Suppose -3*v = 2 - 14, -4*n = 2*v + p. What is n rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -205 and -2.56.\nAnswer: 524.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + 2 - 2 + ((-6 - 2 + 5)*(-110*f + 51*f + f) - 3*f + f + 0*f)*(4*f - f**2 - 4*f).\nAnswer: -173*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -23*j - 46. Let a(i) = i**2 - 12919*i - 3. Calculate h(a(p)).\nAnswer: -23*p**2 + 297137*p + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/2212568 and 19\/120?\nAnswer: 33188520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 v when three letters picked without replacement from {f: 1, z: 1, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 6*x - 3. Let j be b(-6). Suppose -3*g = -c + 13 - 3, -5*g - 3*c = 26. Sort j, 1, g.\nAnswer: g, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(-1\/3)*t*t))\/(t*(t*((t\/(t*t**(1\/4)*t))\/t)\/t)\/t))\/(t**6*t**(-2\/7)\/t))**(-35) assuming t is positive.\nAnswer: t**(1315\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 125?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001276423 to seven decimal places.\nAnswer: 0.0001276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -121231, -969883, -3273369, -7759105, -15154507?\n\"Answer: -121236*b**3 - b**2 + 3*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 - -7 - 1*-2. What is the units digit of (1 - 3)\/(z + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from yyoymyykykyyyyymkv.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.19098722336 - 17196.08729526336. Let u = -17247.89631 - b. Let q = u - -59. Round q to 7 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnn when three letters picked without replacement from lnnlll?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, i: 2, t: 1}. Give prob of picking 2 t and 1 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, o: 2, n: 2, c: 1, l: 2, x: 3}. What is prob of picking 1 s, 1 o, and 1 n?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 300667, 601336, 902005, 1202674?\nAnswer: 1503343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*w + 19*w - 2 + 2 + 21*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5286601 - -51307.\nAnswer: -5235294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*g - 691 = 0, -4*a = 27*g - 23*g - 932. What is a rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -4*t + 10, 20*f - 15*f + t = -9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 + 74 - -24) + 36.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + -48. Let j = -47 - g. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -633c (base 14) to base 12\nAnswer: -9a96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 376 divided by 469\nAnswer: 376\/469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15780849 divided by -5260283?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2 + 1268*p - 200978 = 0. What is p?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22827762 and 45?\nAnswer: 114138810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 + 48*g + 96. Let m be b(-2). Calculate the highest common divisor of 68 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - p - 2*p)*(-3*p**4 + 3*p**2 - 3*p**2).\nAnswer: 18*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-4 - -3) + 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 3, 5*n - 4*n + 5*m - 8 = 0. Suppose 2*q + n*q - 100 = 0. Let b = -47 - -49. Calculate the lowest common multiple of q and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 (base 12) in base 6?\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.00055 - 8. Round f to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) -16\/5 (c) -4\/9 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 9 = -4*q, -31*q + 34*q = -h - 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m = 9*m + 64. Let p(u) = -m*u + u - 9*u + 44. List the prime factors of p(-10).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -277.512 - 0.488. Let s = 277.9 + d. Are s and -160 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 974.61 millennia?\nAnswer: 9746.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 657 = -4*t, 71 = 2*t - 2*j - 259. Let c = -135 + t. Calculate the least common multiple of c and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44100 and 784.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2114*c**3 + 49858*c**2 - 16622*c**2 - 16622*c**2 - 16614*c**2.\nAnswer: -2114*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 845 a factor of 837024836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4958864 to the nearest integer?\nAnswer: 2227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11a90 (base 11) to base 10\nAnswer: -17281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40844, 163370, 367580, 653474, 1021052?\nAnswer: 1470314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1885)\/24505 - 1992\/(-39).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**7\/210 - r**6\/60 + 5*r**3\/6 + 2*r. Let k(a) be the second derivative of v(a). Find the third derivative of k(n) wrt n.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*k + 6, -2*u - 3*k - 2 = 0. Suppose 5*o - y = -13, -u*o - 3*y = 3*o + 21. Let v = o + 5. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 7094\nAnswer: -28376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.243662730711 + -4.\nAnswer: -3.756337269289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 4*c + c. Which is smaller: c or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 1\/395167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 1078*h**4\/9 + 9364*h**3\/9 - 90250*h**2\/9 + 83048*h\/9 - 360 = 0.\nAnswer: -162\/11, 2\/49, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -32*a**3 + 1444*a**2 + 408116*a + 406640 = 0.\nAnswer: -92, -1, 1105\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y**2 + 0*y**2 - y**3 - 14*y**2 - 7*y**2.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15192 (base 10) in base 2?\nAnswer: 11101101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 2, y: 1, b: 2}. What is prob of picking 1 g and 1 b?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4075 + 4077. Which is the third biggest value? (a) 3 (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3804961 to the power of 1\/2, to the nearest integer?\nAnswer: 1951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 24 - 3992*v - 9.\nAnswer: -3992*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*p**2 - 3*p + 56*p**2 + p**3 - 1 + 10 as x + c*p + h*p**3 + t*p**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 9:55 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 111 = 5*o, -3*f - f = -5*o - 113. Suppose l + 42 = 4*m + 2*l, -3*m - l = -f. Calculate the remainder when 6\/51 + (-9882)\/(-102) is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16131 divided by -263.\nAnswer: -16131\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5264 by 52817.\nAnswer: -5264\/52817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -2\/15*p**6 + 67*p + 16\/3*p**3 + 2*p**4 + 0 + 0*p**5 + 6*p**2. Let k(d) = 0. Calculate d.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -722 + 1041. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g - 49*g = 103*g + 402 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-5))\/(-18)*(-3)\/(-2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*k + 7*k + 132*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13730259*r**4 - 12744664*r - 1 wrt r?\nAnswer: -164763108*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 19. Let j be 1 - ((-1)\/(g\/(-8)) - 3). Is ((-1618)\/4)\/(18\/j - -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 12) to base 9\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**3 - 18*p**2 - 4*p + 4. Let w(s) = -5*s**3 - 36*s**2 - 7*s + 7. Give 7*h(f) - 4*w(f).\nAnswer: -f**3 + 18*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*l)*(-l + 7*l + 0*l) - 2 + 1 + 2 - 3*l**2 as w*l + p + s*l**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32.9 + -23. Let o = 14.9 - m. Which is the fourth biggest value? (a) o (b) -23 (c) 2 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 234356034 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttd. Give prob of picking 2 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 118580, 237161, 355746, 474335, 592928?\n\"Answer: 2*o**2 + 118575*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 11*x - 34 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 3*r - 4*n - 2, 0 = -r - n - 26. Let b = r + -33. Let f = -49 - b. Let d(w) = -21*w + 18. Let u(m) = -6*m + 5. Give f*d(l) - 18*u(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(75) + 3 - sqrt(75))**2 + -1.\nAnswer: 30*sqrt(3) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = c - 37. Suppose -4*v + c = q, -v - 371 = -2*q - 3*q. Let s = q + -74. Solve 2*n + s - 7 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*d + 31*d = 120 - 373 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/14)\/((-1)\/28). Suppose -2 - 2 = -2*i + 4*d, 5 = i + d. Let g be i\/6 - 22\/s. Which is greater: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11711 is divided by 67.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/101, 7013, -0.8, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**6\/24 + 23*x**5\/10 + 481*x**4\/16 - 92*x**3 + 72*x**2 + 18. Factor v(a).\nAnswer: a*(a - 1)**2*(a + 24)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 6. Suppose 24 = f + f. Let g be b(f). What is the highest common factor of 10 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 55335\/3924) + (-234)\/(-12753)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 10*b - 34. Let p(u) = -39*u + 153. Let z(s) = -18*i(s) - 4*p(s). Let q(l) = -46*l. Give z(q(a)).\nAnswer: 1104*a","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + u. Let c(q) = -q**2 - 2*q + 4. Let r(p) = c(p) - d(p). Give r(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 207? (a) -1 (b) -4\/7 (c) 3 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 + 8*r - 610 - 6*r**2 - 8*r.\nAnswer: -3*r**2 - 610","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8496 divided by 902.\nAnswer: 4248\/451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axaddcqddqaqddddqadx. What is prob of picking 1 x, 1 d, and 1 q?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4094)\/2136*(-341)\/713?\nAnswer: 11\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4372536 and -0.17.\nAnswer: 743331.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 4:35 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*q**3 - 13*q**3 - 5*q**3 + 10*q**3.\nAnswer: -25*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 632\/3 or 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/14)\/(161\/(-92)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 10, 4 in increasing order.\nAnswer: -17, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 - (-7222)\/138)\/(12\/81).\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q + 0*q - 85 - 2*q**2 + 251 + 34 + 210 to the form s*q**2 + y + o*q and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 + 72. Suppose 0 = v + 4, 2*p + 5*v + w = -0*p. Which is the fourth biggest value? (a) -5 (b) -1 (c) p (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0918 less than 2322?\nAnswer: 2322.0918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**2 - 3*t - 1. What is h(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22677 - 22676. Which is the nearest to h? (a) -0.3 (b) 0.2 (c) -2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 10:47 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*n + 12 = 95*n. Let j be n\/(-10) - (-2886)\/210*-1. Is -15 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 191\/3 + -63. Let m = -804 + 803. Which is the third smallest value? (a) 0.4 (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4\/2 + 471*a**3\/2 + 939*a**2\/2 + 469*a\/2 = 0.\nAnswer: -469, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010000101011010 (base 2) in base 6?\nAnswer: -2554202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*x**3 + 223 - 223 - 2*x**3 + 5*x**3 - 2*x**3 + (-x + 4*x - 2*x)*(0*x**2 - 3*x**2 - 4*x**2))*(0 + 0 - 4*x).\nAnswer: -36*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14203 - -14211. Solve 11088*s - 11089*s + u = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52363457 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 6*k + 28. Let r = 10 + k. Suppose 555 = 5*d - p, 0 = -r*d - 0*d - 5*p + 333. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95485986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b. Let o(c) = 3*c + 15. Let f(t) = o(t) - 2*y(t). What are the prime factors of f(7)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 - 47. Let p = j - 27. Suppose -2*l - 10*f + 50 = 0, 5*l + f - 34 = -5. Solve 3*s - r + p = -l*r, -4*s - r + 3 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(416)*3)\/(-5*sqrt(8)\/sqrt(4) + sqrt(2) + (sqrt(200) - -2*sqrt(200)) + sqrt(200) + sqrt(200))*4)**2.\nAnswer: 7488\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2657, -1, 1744, -3 in descending order.\nAnswer: 2657, 1744, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1395 by -3.\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000111010010110011 (base 2) to base 9.\nAnswer: -484515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1256758 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*4\/(-7)*-1*(-455)\/(-4 - -69)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -5 + -13 + -5 + 10 + 34 + -9.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**2 - 24*j + 202. Determine h(7).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111 - -10?\nAnswer: 1000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 174582899 - -150317101. Suppose -9*r - b = -0*r. Round r to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 1)*(-2 - 3 + 4)*(-6*f + 3 - 3) - 11*f - 3*f - 2 - 49*f to u*f + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/12 and 95\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 5*t**2 + 32*t - 76. Let l be j(7). Calculate the highest common factor of l and 5850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 990\/(-275) - 2\/5 - 19\/(-2)\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 13*o + 10. Let n be m(12). Let g be 50400\/(-27)*(-15)\/n. Round g to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**4\/6 + w. Let r(t) be the second derivative of -t**3\/6 - 3*t. Give r(n(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*u**4 + 7*u**2 - 8*u**2 + 20*u**4 + (u**3 + u**3 + 0*u**3)*(0*u + u - 3*u)*(6 - 1 - 3).\nAnswer: -12*u**4 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1196 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 997\/5 - 26917\/135. Let u = 43\/135 + l. Let j = -2.1 + 1.1. Which is the second smallest value? (a) j (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15\/2, -1\/5, 0, 4.2?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Let h(n) be the first derivative of 0*n - 6*n**2 - 11 + 0*n**3 + 3\/2*n**4. Find the second derivative of h(j) wrt j.\nAnswer: 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 7*w = -5*q + 2, -3*w = -3*q + 18 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 45 + -55 + (6 - 0).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -266967*k**5*q + 2*k**3*q**2 + 34*k*q**2 + k*q + 1003*k - q + 2 wrt k?\nAnswer: -5339340*k**3*q + 12*k*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rce when three letters picked without replacement from {n: 1, c: 1, h: 2, e: 1, r: 1, d: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven eighths of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**2. Suppose -1 = 4*h - 3*o, 3*h = -0*o + 2*o. Suppose -f + 20 = 4*f. Let v(l) = 7 - f - 3 + h*l**2. Give x(v(u)).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 39. Let l(w) be the third derivative of 1\/360*w**6 + 0*w + 0*w**o + 0 - 1\/72*w**4 + 0*w**5 + w**2. Factor l(y).\nAnswer: y*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -168 + 266. Suppose g = 7*q + 70. Solve 10 = -d - 2*t + 3, -q*d - t = 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3106 and 180?\nAnswer: 279540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -157910, -157913, -157916, -157919, -157922, -157925?\n\"Answer: -3*q - 157907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -11\/2. Let y(a) be the second derivative of x*a**3 - 3\/2*a**2 + 0 - a. Let c(l) = -7*l + 7. Give 4*c(s) + 9*y(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r**2 - 11*r + 5. Let s(k) = -14*k + 12*k**2 + k - 5*k + k + 8. Let v(u) = -8*i(u) + 5*s(u). What is the second derivative of v(c) wrt c?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/(-30))\/(2\/3). Is (1\/(-3))\/((-12)\/2844)*i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 2296056?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j - 88 = -24*j. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -45*d**3 - 7638*d**2 - 1623090*d - 1078602. Let q(x) = -2*x**3 - x + 3. Let z(c) = l(c) - 18*q(c). Find o, given that z(o) = 0.\nAnswer: -424, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -3*x**3 + 3\/4*x**4 - 3*x + 9\/2*x**2 + 9. Factor a(y).\nAnswer: 3*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 4, -12 in increasing order.\nAnswer: -12, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + -1 + -2 + -1*(1 + sqrt(108)) + 4 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 13) + 0 + 0 - (-1 + 5).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 101*o - 289. Give n(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -0.5. Let w = 0.2 - u. Let i = -1.36 + w. Round i to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -23. Suppose i = 2*z - 6 + 2. Suppose 1 + 9 = 2*s + z*f, 0 = -3*s + 3*f + 9. Solve -s*v + 2*v + 8 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 6*x - 9. Let z be m(-7). Let r = 0.25 - -0.05. Let t = -0.8 + r. Put z, t, 5 in descending order.\nAnswer: 5, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-52)\/117*18\/(-4). Let i(z) = 0*z + 0*z - 2 + 4*z**2 + 3*z + 0*z. What are the prime factors of i(f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-1\/6)))**(-38)*d**(1\/9)*d**(-1) assuming d is positive.\nAnswer: d**(49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 39. Let r = -2 - t. Suppose r*g - 66 = 3*g. What are the prime factors of g?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-86)\/(-30) - 3 - 32\/(-15). Determine s so that 1\/2*s**3 - 1\/2 - 1\/2*s + 1\/2*s**o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*o*v - 1305*o - 4*v**2 wrt v.\nAnswer: 31*o - 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3771742?\nAnswer: 2, 13, 11159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -338, -550, -748, -926, -1078, -1198, -1280?\n\"Answer: a**3 + a**2 - 222*a - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 9*k - 588. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8*d**2 + 9*d - 6. Let o(t) = -17*t**2 - 19*t + 13. Let s(q) = -6*o(q) - 13*x(q). Let g be s(-2). Which is smaller: g or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 5*g - 4. Let r be a(3). Suppose -r*u - u = -15. Suppose 0 = -4*k - u*z + 52 + 33, -81 = -3*k + 2*z. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6857707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1809, 1811, 1813, 1815, 1817?\nAnswer: 1819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b*m**2 - 9*b*m - 36*b + 2*m**5 + 2387*m**4 + 14*m + 1 wrt m?\nAnswer: -4*b + 40*m**3 + 28644*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.02 + -0.02. Let z = 1.9 - j. Which is the second biggest value? (a) 2\/13 (b) z (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptqaqcq. Give prob of sequence pt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -168455*m**5 - 63*m**2 + 24*m - 1922001.\nAnswer: -3369100*m**3 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*g + 15 = 0, 6*n - n - g - 12 = 0. Suppose -n*m = -6*m + 9. Let y be 13\/12 - (m - 2). Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 10189 - 2569 = 0. Suppose -j = -23*t + 2060. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21 * -24.\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 67588 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58240*k**2 - 5 + 29369*k**2 + 4 + 28898*k**2.\nAnswer: 27*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 12. Give w(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 1, j: 2, t: 1, g: 1, p: 1}. What is prob of picking 1 y and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3990?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-245)\/(-42)))\/((-11)\/(-7)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12304, -24633, -36986, -49363, -61764, -74189?\n\"Answer: -12*v**2 - 12293*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 954782828 to the nearest integer?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 7 + -5 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 784, 1993, 3236, 4513?\n\"Answer: 17*z**2 + 1158*z - 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1\/5, 2\/5, 2313 in descending order.\nAnswer: 2313, 2\/5, 1\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 2. Let p be k(1). Let s = 41 - 18. Calculate the remainder when (10\/6)\/(p\/(-81)) is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -18. Sort w, 0.1, -0.1 in increasing order.\nAnswer: w, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**5\/60 + h**4\/4 + h**3\/3 - 11*h**2. Determine u(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -448 - -479. Solve 0 - 45*f**3 + m*f + 2 + 3 + 14*f - 30*f**2 + 1 + 24*f**4 = 0.\nAnswer: -1, -1\/8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/73 and 55\/9?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-2) - (-58)\/16\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7641739763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 74054554933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 12 + (484 - 505)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13406797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.174 and 15.\nAnswer: 15.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 823310 and 82331.\nAnswer: 823310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 58298 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: List the prime factors of 1340.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523*r + 16151 - 1507 = 0 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -5, 0.136, 1\/2, -0.51?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 4:03 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(76)*4)\/(sqrt(4)*4*-6))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ossoshsshh. What is prob of picking 1 o and 2 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, 0.047219, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*z - 7*j + 43, 3*j - 13 = -3*z - 11 + 13 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 + -0.8. Let t = -4.8 + s. Let o = 6 + t. Which is the smallest value? (a) o (b) -3\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 63 = 87 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h + 1020 = 918 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*b + 13, x = -x - 10. Suppose 7*n + b = 152. Solve -4*s + y = n, 27 = -2*s + 5*y + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -475.18*-0.9\nAnswer: 427.662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*m**3 + 8*m**2 + 0*m + 0 - 1\/6*m**5 - 4\/3*m**4 = 0. What is m?\nAnswer: -6, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 2*o = 2512 - 2557, 5*c - 4*o = 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a factor of 10112784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/11, 135\/619, 2, 2\/15 in descending order.\nAnswer: 2, 6\/11, 135\/619, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5417, 13227, 20971, 28655, 36285?\n\"Answer: k**3 - 39*k**2 + 7920*k - 2465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*g = -240, 0 = -2*d + 3*d + 5*g - 48. Suppose 0 = 5*a - 32 - d. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-489276)\/(-18) - -16 - (5 + 1). What is the greatest common divisor of i and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/5))**(1\/12))**(2\/59) assuming w is positive.\nAnswer: w**(1\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 m when three letters picked without replacement from smmsmssmmsss.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -293, -158, 81, 436, 919?\n\"Answer: 2*s**3 + 40*s**2 + s - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2176, 2192, 2208, 2224, 2240, 2256?\n\"Answer: 16*w + 2160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70*v**2*y**3 - 70*v**2*y**2 - 48*v*y**2 + 14*y**3 wrt y?\nAnswer: 420*v**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-111)*3 + 2140\/1480?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/8601 and 43\/1647.\nAnswer: 77409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10017634909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 0 + 1\/15*n**3 - 1\/50*n**5 + 1\/30*n**4 + n**2 - n. Let t(f) be the first derivative of x(f). Factor t(c).\nAnswer: -2*(c - 1)*(3*c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -434, -1\/2, 8\/7 in descending order.\nAnswer: 8\/7, -1\/2, -2, -434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2664 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - j. Let v be r(-10). Let u = v + -76. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -23*l**4 + 17*l**3 - 17*l**2 - 17*l - 25. Let t(u) = 8*u**4 - 6*u**3 + 6*u**2 + 6*u + 8. Let c(f) = -6*g(f) - 17*t(f). Differentiate c(q) wrt q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7407 divided by 2.\nAnswer: 7407\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -637*l + 105097. Determine d(165).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137 + -147.7. Let o = v - -11.13. Let x = o + 0.25. Round x to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27861691*n**3 + 27457916 wrt n?\nAnswer: -83585073*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5757394, -11514766, -17272138, -23029510, -28786882, -34544254?\nAnswer: -40301626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x + 19 + 61 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 28452 = -5298. Suppose -2*t = 6*h - h - r, -814 = -3*h + 2*t. What is the greatest common divisor of h and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9354653cm in meters?\nAnswer: 0.009354653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0. Let i(a) = a**3 + 28*a**2 - a - 27. Let h be i(-28). Which is smaller: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 183 and 275903.\nAnswer: 827709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**4 - 291246*b**3 + b**2 + 26989421 wrt b?\nAnswer: 8*b**3 - 873738*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 357065352 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 13*k. Let v be f(1). Suppose -4*b + 33 = v. Suppose 27 - 82 = -b*a. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*5\/(-3 + 4). Let g = o - 6. Let y be 2 + 5\/((-10)\/g). Solve -u + 3*u = y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - sqrt(1008)*-2) + 4.\nAnswer: 4 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648 is divided by (25\/(-10))\/(10*6\/(-2016)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21728*v**3 + 21733*v**3 - v**2 + 65*v - 153*v + (2*v**2 + v**2 - 5*v**2)*(-v - 4*v + 3*v).\nAnswer: 9*v**3 - v**2 - 88*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 29. Suppose -12*x - j*x = -2240. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 623263 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9130*x - 10305*x = 49350 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -553 divided by 7\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**7\/1155 + 7*q**6\/660 + q**5\/22 + 3*q**4\/44 + 386*q**2. Factor h(p).\nAnswer: 2*p*(p + 1)*(p + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z - 29. Let r(v) = -3*v - 14. Let y(o) = 37*o**2 + 15*o + 3*o**3 + 42 - 5*o**3 + 2*o + 0*o**2. Let l be y(19). Determine l*t(s) - 9*r(s).\nAnswer: -s + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**3 - 2*s**3 + 172*s + 6*s**3 - 173*s + 1 to the form d*s**2 + o*s + l*s**3 + j and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 9 = y, 80*q - 83*q + 21 = 3*y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -404*i - 48482. Give z(-120).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8795, 8693, 8591, 8489, 8387?\n\"Answer: -102*b + 8897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454824379?\nAnswer: 23, 193, 102461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54 or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 12 - 40. Let m(z) be the third derivative of z**6\/120 - z**5\/15 - 2*z**4\/3 - 4*z**3\/3 - 85*z**2 + 2. List the prime factors of m(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42867790?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-660)*-5)\/(3\/2)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 2*h**2 + 61*h + 38. Let r be j(-14). Solve -r*y + 6 = -19 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**2 + 0 + 1\/4*o**3 - 1\/140*o**7 + 0*o + 0*o**5 + 1\/8*o**4 - 1\/40*o**6. Factor s(z).\nAnswer: -3*(z - 1)*(z + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.365377ug in tonnes?\nAnswer: 0.000000000004365377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 12 = 5*d, -d + 7 = 4*y - 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**2 - 1 + 3*d + 5*d + 7 - 126*d**3 - 99*d**3. Suppose 108 = -23*o + 62. Let y be u(o). What is y rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 2*p**2 - 4*p - 3. Let r be q(-2). Suppose 0 = -7*z + r*z + 6. What is the common denominator of (-34)\/z + 4\/(-16) and 53\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-70)*(-1)\/6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 12:22 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 - 9*j - 6. Let z(f) = 2*f**2 - 8*f - 5. Let s = 96 + -90. Let g(x) = s*k(x) - 7*z(x). What is g(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-75) - (176\/(-33))\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 + 409\/5. Let b be 6 + 1\/((-5)\/20). Factor 4\/5*r**4 + 0 - t*r**b + 0*r**3 + 2\/5*r - 2\/5*r**5.\nAnswer: -2*r*(r - 1)**3*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1215219 minus 2.7?\nAnswer: 1215216.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-227)\/5 - (-48)\/120. What is the units digit of (24\/14)\/((g\/336)\/(-15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.1, 3, 2, -181?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26853821, 53707644, 80561467, 107415290, 134269113?\nAnswer: 161122936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1102\/3 - 367. Let s(h) be the second derivative of c*h**4 + 0*h**3 + 3*h**2 + 0 - 4*h. What is the first derivative of s(o) wrt o?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -297, -4493?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(162) + 4)**2 - (sqrt(800)*3)**2.\nAnswer: -7029 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*j - 143*j - 76016 = 0. Round j to the nearest 100.\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.2476014 centuries?\nAnswer: 297.12168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 3*c = 6. Let d(u) = 4*u**2 - 2*u. Determine d(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-95)\/(-5)*(-1 + (-6)\/(-3)). Solve -3*r + 3*x = 6, -2*r - 4*x - k = 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44.355 + -2.655. Let j = 47 + h. Which is smaller: 0.05 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 20 + 5578307*h**2 - 5578247*h**2.\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 20 = 6*s. Let u = 4 - s. Suppose u = x - 26. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (86 - 99) + (1 + 195\/12)*4.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*u + 402110, -25*u - 5*q = -26*u + 80448. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(((-16)\/(-1))\/4). Which is bigger: 0.3 or v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -9*i + 30. Let p be d(-20). Suppose p = 8*g - g. Calculate the greatest common factor of 12 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 7. Let v = -485\/2 - -243. Which is the third biggest value? (a) i (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - 4*p + 3*p)*(4 - 3 - 2*p + 1).\nAnswer: 10*p**2 - 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -581 = 85*q - 825 - 1626. Solve q*d = 20*d - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -20*m + 900. Let z be h(44). Let b(l) be the first derivative of 0*l**2 - z + 0*l + 1\/3*l**3. Let i(p) = 10*p. What is b(i(x))?\nAnswer: 100*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 5*x - 60 + 26, 7*r = -4*x + 168 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 677 + -2489. Let s = 1812.05662 + v. What is s rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (-1 + 1174\/(-8)). Let g = w + -144. Which is greater: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 13 = 2*s + 5, -v = -s. Does 13 divide s + -2 - (-59 - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(91)*5 + sqrt(91) - sqrt(91) - (sqrt(91) - (sqrt(91)*-3*2 - sqrt(91))))*2)\/(((sqrt(112)*-2 - sqrt(112))*3 - sqrt(112)*1*1)*5))**2.\nAnswer: 637\/10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3082 is divided by 429.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 662, 661, 660?\n\"Answer: -y + 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (540\/40)\/(-9)*(-40)\/(-12)*(-2)\/355?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -493 + 244 + 2*k**2 + 249. Let b(j) = -2 + 22*j**2 + 2. Give q(b(d)).\nAnswer: 968*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 5 (c) 14 (d) -3\/5 (e) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3477827.\nAnswer: 3477827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 41.10739 micrometers?\nAnswer: 0.04110739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1125\/13 or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 430\/48 + 4 + -8 and -101\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.024548275\nAnswer: -0.0981931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n*w**4 + 11*n*w**3 + n*w**2 + 6*n*w + 17718*w**4 + 2*w**2 + 22*w - 5 wrt w?\nAnswer: 48*n*w + 66*n + 425232*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1394397 by 4.\nAnswer: 1394397\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48)\/(-24) - (0 + -12). Suppose 4500784 = t*y + 276984. Round y to the nearest ten thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 0.062 (b) -606 (c) 1\/2 (d) 0.14 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5117502 + 19?\nAnswer: 5117521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 56 = j - 20, -2*c = 0. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 8*m**2 - 13*m + 11. Let q(o) = o**3 + o**2 - o + 1. Let x(a) = -2*q(a) - y(a). Is 11 a factor of x(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-26) - 164486\/1612. Which is the third smallest value? (a) 2 (b) 1\/2 (c) z (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/7*2\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2*(8 - 12). What is the units digit of 2\/z - (-465)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(272) - (1 + sqrt(272)))*-1)**2 + 3)*-4*5.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)*a**(-3\/5)*a)**(-47)*((((a**(-8)*a)\/a)\/a)\/(a\/(((a*a\/(a\/a**(-7)*a))\/a)\/a)))\/(a**3\/(a*a**(-1\/3)*a)) assuming a is positive.\nAnswer: a**(4348\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 122 * -7.\nAnswer: -854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*h + 41 - 23 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 118, 181, 244, 307, 370?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 2*s**2 - 4*s - 1. Suppose -5 = -2*j + 3. What is the units digit of a(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -173 - -571. Let i = 1406 - 797. Let z = i - u. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150 (base 7) to base 9.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2791 divided by -62.\nAnswer: 2791\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 164677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - n = -0*n - 126, 3*k - 2*n - 175 = 0. Suppose -k = 5*h + 39. Does 13 divide 19\/(-2)*(h - -14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 661510?\nAnswer: 2646040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 863 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928 is divided by 152.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 176193988, 352387977, 528581966?\n\"Answer: 176193989*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27378374 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5192?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/4)\/(-5)*8. Let s(y) = -y**3 + 5*y**2 - 5*y + 2. Let b be s(x). Let l = 4 + -1. What is the nearest to -2\/7 in b, l, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-12)*-1*26. Suppose 0 = 21*l - m*l. Solve 4*w - 4 = -l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 312*p**2 + 635*p - 3881. Calculate j(310).\nAnswer: 769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -1\/30*d**3 + 0*d + 1\/75*d**5 - 1\/40*d**4 + 31*d**2 + 0. Suppose b(w) = 0. What is w?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27595\/3 - 9199. Sort 22, -0.2, l, -9.2 in descending order.\nAnswer: 22, -0.2, l, -9.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.4 and 176005682.\nAnswer: 176005683.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2\/11*b**2 + 4\/11*b - 2\/11 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 5*t**2 + 8*t. Let w be i(6). Calculate the greatest common factor of w and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from {o: 6, t: 7, z: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 26\/91*(-8 - -141).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*-3*16\/9*12\/(-48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + 0 + (-2 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 14*f - 1. Let p be d(-4). Let s(w) = -w**3 - 12*w**2 + 21*w - 5. Let k be s(-14). Let c = k + p. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 233 + -232. Solve h = v + 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/5 + 477\/15 + 3. Let x = 40 - l. Which is the closest to -0.1? (a) -1\/2 (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 27 + 8 = -5*u, -5*u = 3*g - 40. Let n = -8 + g. What is the second derivative of -n*l**3 + 11*l + 4*l**3 + 2*l**4 + 3*l**3 wrt l?\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*h**2 - 19*h**2 + 18 - 19*h**2 to i*h**2 + a + x*h and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3174\/(-2645)*50\/6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 16, -2, 258 in increasing order.\nAnswer: -3, -2, -1, 16, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 246722?\nAnswer: 1973776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*p - 30, 7*w - 36 = -4*p + 3*w. What is the second derivative of 4*j**3 + 2 + 2*j + 10 - p wrt j?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 35 = z, -4*k - 5*z + 73 = 26. Solve v = f - 5, -5 = 5*v + f + k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-11\/6)*p**20)\/(p**6\/p**(-12)) assuming p is positive.\nAnswer: p**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81 + 105. Suppose q = -w + 14. Let b(v) = v**2 + 12*v + 17. Let o be b(w). Let a(c) = c**3 + c**2 - c - 4. Calculate a(o).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 3*d + 3*d)*(-4*d**3 + 13*d**3 + 10*d**3) + 0*d**4 + 5*d**4 - 3*d**4.\nAnswer: 21*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15016 + -12031?\nAnswer: 2655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*n = -0*w - 1470, w - 4*n = -354. Let a = w - -429. Calculate the remainder when a is divided by 59.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.641542 times -5\nAnswer: -3.20771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 541 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011010 - 110000011?\nAnswer: -11101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 100188 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8392911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 178 + -86. Suppose 0*f = 4*f - y. Calculate the remainder when 40 is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s - 5*l - 47 = 13*s, -11*s + 42 = 14*s - 27*s + 3*l for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3\/3 + 50176*z**2\/3 + 100334*z + 150492 = 0.\nAnswer: -25082, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 292898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6985933?\nAnswer: 37, 349, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21798 by 6.\nAnswer: -3633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(2*-2*sqrt(4) + sqrt(4)) + -1 + sqrt(175) + sqrt(7) + 2)**2.\nAnswer: 34*sqrt(7)\/3 + 2032\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from {f: 2, x: 2, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 8*a - 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 416, 1803, 4114, 7349, 11508, 16591, 22598?\n\"Answer: 462*r**2 + r - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*k - 40 = 51*k + 4*p, 5*k + 40 = -5*p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 708 - -9?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 272 (b) -2101 (c) -3\/4 (d) -5 (e) -3.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137820642?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -25, 3, -21, -5, -1.\nAnswer: -25, -21, -5, -1, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 0 - 6 - 50*r + 7. What is the tens digit of a(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1)*j)\/j*j)**(-13)*(j\/(j*j**(2\/5)\/j)*j)**(-40))**(-1\/36) assuming j is positive.\nAnswer: j**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -11*c**2 + 37*c + 12. Let n(g) = -6*g**2 + 19*g + 5. Let h(s) = -7*n(s) + 4*t(s). Let o be h(8). Sort o, -1, -2, 2 in descending order.\nAnswer: o, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7430769 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420631 is divided by 1263.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - y = -34, -5*c - y + 31 = 3*y for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -85537.259849 and -0.0433.\nAnswer: -85537.303149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 53910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of w**2 + 1223*w - 7174?\nAnswer: 2*w + 1223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - u - 4 = 0, -4*v = 5*u - 9 - 13. Let x = 2 + v. Suppose 3*s - 5*w = 17, x*s + 3*w - 56 - 29 = 0. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1326 and 14365442?\nAnswer: 43096326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/453 and 89\/6?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-2961)\/18)\/47*4\/35\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 3:15 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 241083180 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-15))\/(6\/(-15)). Which is the closest to 2\/5? (a) -4\/7 (b) -20\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 - 57800\/(-8880)*6?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11142)\/(-1395) - (-806)\/62465?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 8*j**2 - 8*j - 5. Let d be o(7). Let q = 17 + d. Suppose -q*y - 15 = -p - 71, 5*p = -4*y + 39. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*h**3 + 44*h**3 - 6*h**2 - 19*h**3 + (0*h**3 - 3*h**3 + h**3)*(1 + 0 + 1) - h**3 - 2*h**3 + h**3 + 4*h**3 + 0 + 0 - 3*h**3 - 3*h**3 + 7*h**3.\nAnswer: 10*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.67 and 603.59459.\nAnswer: 604.26459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -130.7 + 131. Let x = 0.1 + 0.9. Which is the nearest to x? (a) w (b) -0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + (-3*(sqrt(99) - -6*(-2*sqrt(99) + sqrt(99) - sqrt(99))))\/(sqrt(27)\/(sqrt(3) + (sqrt(3)*-1 - sqrt(3))) + 1*sqrt(1296))).\nAnswer: 20 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -12\/433, -1\/4, -1, 3.\nAnswer: -1, -1\/4, -12\/433, 2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 10*c + 35. Let t(d) = -d - 4. Let z(m) = -4*n(m) - 35*t(m). Let r(i) = -3*i. Calculate z(r(w)).\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 2\/59893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4132911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p + p - 33. Solve 20 = 4*d - 0*d + 2*w, p*d - 8 = 2*w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -35. What is the third biggest value in 3, 2, 5, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38024)\/560 + 68)*650.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35999087, -35999085, -35999083, -35999081?\n\"Answer: 2*b - 35999089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -9*s - 22. Determine h(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2456*i - 20849 - 153527 = 0 for i.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 59*l - 4. Let w be q(4). Suppose 5*z - 5 = 5. Suppose -4*h = -4*c + w, -h = -c - z*c + 168. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnmwwzvjn. What is prob of sequence mw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.25 + 0.33. Let p = s - 4.58. Let r be (-2)\/4 + (-1)\/(-2). Which is the nearest to 2\/9? (a) r (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 6*j - 5*j = 0, 0 = -2*j - 8. Suppose a - g*a = -288. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 152.81 - 208.7. Let b = -56 - w. What is the closest to -2\/3 in 5, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2199301 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -705*s**2\/2 + 189*s + 172. Differentiate u(h) with respect to h.\nAnswer: -705","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -42. Let i = -52 + z. Let k = -23.2 - i. Round k to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111400 is divided by 470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 2475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7114793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-46)\/(-69))\/(11\/3))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3394 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -6*f + 4. Let p(c) = 5*c - 3. Suppose -q - 1 + 2 = m, 5*m - 25 = 0. Let k = 8 - 13. What is k*p(w) + q*a(w)?\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 152)*(2 + -1). Suppose 0 = -3*p + p + z. What are the prime factors of p?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*7\/147)\/((-264)\/(-3168))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f**2 + 0*f**2 + f**2 + (-3 + 2 - 4)*(2*f**2 - 2*f**2 - f**2))*(340 - 169 - 197) to the form c*f + n*f**2 + o and give n.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/4 (b) -0.3 (c) 30361\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587480 is divided by 587434?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-20)*a)\/a**(-15))\/(a**(-6\/13))**(12\/11))**(7\/3) assuming a is positive.\nAnswer: a**(-3500\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((0\/(-2))\/(-2))\/1. Let v = -37 + 21. Let z = v - -16. Solve -5*c + 10 + b = z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 866365 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 10*n + 30. Let u be g(-12). Suppose -u + 5 = -k. Let r(l) be the third derivative of l**5\/10 - l**4\/24 + 4*l**2. Calculate r(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14560 + -7701. What is the thousands digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21693 - 12848. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*m - 48 = 0, x = -18*m + 19*m + 23. Calculate the remainder when x is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 2.\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8380136 and 48993?\nAnswer: 175982856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/103 > 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(792))\/((sqrt(90)\/(sqrt(27)\/sqrt(3)) + sqrt(10))\/sqrt(5)))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 510*c + 210. Let y(p) = -2*p - 1. Give -2*v(s) - 420*y(s).\nAnswer: -180*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - r**2 + 1. Suppose 4 - 22 = -3*h. Let a be (-15)\/10*(-8)\/h. Is 5 a factor of t(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 185.\nAnswer: -12\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -75\/23 < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -339, -20577, -54305, -101523, -162231?\n\"Answer: -6745*v**2 - 3*v + 6409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -3. Let t(q) = 4*q + 1. Let z be t(a). Suppose -4*w = -2*w - x, 0 = z*x. Do w and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**2 + 87*l - 22 = 0. What is l?\nAnswer: -22, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2df - 19?\nAnswer: -2f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**7\/3360 + n**6\/240 + 3*n**5\/160 + 7*n**4\/6 - 17*n**2. Let o(q) be the second derivative of d(q). Factor o(y).\nAnswer: 3*(y + 1)*(y + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(4) + 1 + (-1 + sqrt(17) + sqrt(17) + -5 + sqrt(17))**2.\nAnswer: -35*sqrt(17) + 190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 2. Let f be z(5). Let a be 1\/8*2*4. Let i be (2*a)\/((-4)\/(-154)). What is the highest common divisor of i and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 79*u**3 - 55615*u**2 - 703*u - 704. Calculate s(704).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 5. Suppose 4*t + s = 30, 2*s + i = 2*t - 3. Solve 0 = -t*c + 2*c - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -349, 0.22, -3, 1\/5?\nAnswer: -349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -1477353?\nAnswer: 1477354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -23*l**3 + l**2 - 12*l - 10. Let h(i) = 6*i**3 + 1. Determine -a(o) - 4*h(o).\nAnswer: -o**3 - o**2 + 12*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6931200 and 33600?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 155 = -b - 16, -5*b + 5*k = -595. List the prime factors of b.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.054804 times -0.79\nAnswer: -0.04329516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, g: 3, c: 3, k: 1, z: 2}. Give prob of picking 1 z and 1 g.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 1262\nAnswer: -5048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1238*d - 815*d = -41*d + 40240 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5233 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69163971*b**2*k**2 - 2*b**2*k - 2*b**2 - 73336*b*k**2 - 95*b*k wrt b.\nAnswer: 138327942*k**2 - 4*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6614336 (base 7) in base 11?\nAnswer: -504095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(q**4 - 12*q + 12*q) + (-3*q**2 - q**2 + 2*q**2)*(2*q**2 + 3*q**2 - 2*q**2).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + y - 5 = 2*g, 5 = -4*g + y. Let x be (-20)\/6*(-6)\/5. What is the third smallest value in x, -1, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2187)\/(-486)*1\/(-9). What is the nearest to 1\/3 in z, 12, -2.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84.1 - 89.1. Let q be (-2)\/(-9) + 2\/(-90). What is the third smallest value in j, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*b**5 + 1124*b**4 + 444*b**3 - 8756*b**2 + 11344*b - 4224 = 0.\nAnswer: -264\/17, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 1)*(-28*c - 15*c + 6*c) to the form o*c + y and give o.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 30 = 2*s, 2*s - 41 = -d - 14. What is the least common multiple of 0\/2 + 17 + -1 and s?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 2*n**2 - 2*n + 1. Let y = 5 - 4. Let f be q(y). Suppose -m + 44 = 4*l - 3*m, f = -3*m. What is the remainder when 32 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 3*f**2 - 6*f - 2. Suppose 298 = 9*t - 80. What is the remainder when (-10)\/((-1)\/(t\/12)) is divided by v(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7\/4 - -57\/28. Which is the nearest to w? (a) 1 (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1722)\/5)\/(-3) + (1\/200)\/((-4445)\/(-177800))?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r. Let y be q(-5). Suppose -2*d + 6 = 2*m, 2*d - 27 = -0*m + y*m. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**6\/120 + 7*o**5\/30 + 2*o**4 - 5*o**3\/6 + 2*o**2 + 153. Give w(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2424 + -2417. Let f(k) = -2 - 3*k**2 + 6 + 0 + 2*k**3 - 2*k. What is the remainder when f(3) is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -30, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxn when three letters picked without replacement from npnxn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 17*z**2 + 30*z - 8 + 9 + 7 + 19. Calculate the smallest common multiple of h(15) and 24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10800 and 40383900?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 17.550984 hours?\nAnswer: 0.731291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(1 - (-10)\/(-15)). Suppose 0 = 10*a - 7*a - 24. Calculate the greatest common factor of z and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 + 62. Suppose 5*p = 17 + q. Solve 0 = -p*w - 25, 2*c - 3*w - 33 = 2*w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -186.95 - -187. Put 4, 3, n, -11 in descending order.\nAnswer: 4, 3, n, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from {k: 1, f: 1, j: 1, d: 1, a: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, e: 2, m: 6, r: 4}. Give prob of sequence ym.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -41. Let w be (6\/(-18))\/((-2)\/f). Solve w + 0 = -m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 998.1983 decades to centuries.\nAnswer: 99.81983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9222, 18443, 27664, 36885, 46106, 55327?\n\"Answer: 9221*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 at least 120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003132 rounded to 7 dps?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.36*-0.82.\nAnswer: -5.2152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.1 - -4. Let t = 5.9 - i. Let v = -4.9 + t. Which is the second smallest value? (a) -5 (b) 0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -115*((-8)\/28 + 99\/(-21)). Let i be (-8356)\/108*30\/(-4). Let l = r - i. Calculate the common denominator of -137\/18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -292467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**7\/105 - y**6\/360 - y**5\/120 - y**4\/24 + 13*y**3\/6 + 24*y. Let k(m) be the second derivative of j(m). Determine k(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 125702955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*h**2 - 2*h + 2*h - 113 + 93 wrt h?\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -749 - -738. Let m(u) = -u**2 - 12*u - 3. Let q be m(w). Solve 0 = 3*n - 0*k + k + 2, q = -3*n - 4*k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35, -72, -109, -146, -183?\n\"Answer: -37*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**4\/24 + g**3\/2 + 19*g**2. Let f(o) = -4*o - 11. Let l(i) = -6*f(i) - 22*n(i). Let a(s) = 6*s. Determine a(l(d)).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -3, 2 in decreasing order.\nAnswer: 2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-3)\/((-420)\/(-95))) + (-1 - -7).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300 (base 6) to base 3.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3983557 + 4?\nAnswer: -3983553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16796951 or -16796950?\nAnswer: -16796950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 109*f - 1558. What is a(-92)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 8028.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*s**2 - 1 + 1)*(0*s**2 - 3*s**2 + s**2) - 13*s - 11*s**4 + 13*s)*(8 - 8 - 4*s).\nAnswer: 28*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102262 + 1360273 = 27*n. What are the prime factors of n?\nAnswer: 3, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2358*u**3 + 3*u - 1045. Let q(l) = -4711*l**3 + 5*l - 2092. Let f(r) = 5*n(r) - 3*q(r). Differentiate f(y) with respect to y.\nAnswer: 7029*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.798 + -0.048. Let x = k - 1.35. Let h = 13.4 - x. Which is the nearest to 0? (a) h (b) 1\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 4:18 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z - 8. Let o be n(5). Suppose -o*u + 378 = -0*u. Let w = 134 - u. What is the greatest common factor of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 74 = -5*o, 2 = -2*o - 2*l + 28. Suppose -o = 4*v + 24. Let r be (-154)\/v - 2\/5. Solve a - 4*a + r = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 - ((0 - 0) + 0). Suppose -3*p - f = 6, -3*p + 5*f = -0*p + y. Suppose 540*h - 509*h - 124 = 0. Put h, p, 2 in descending order.\nAnswer: h, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -87632*d*f + 106614*d - f**2 wrt f?\nAnswer: -87632*d - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-47)\/((-130425)\/(-30)))\/(-1*(-4)\/15)?\nAnswer: -3\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3384*m**3*p*y*z + 55*m**3*y*z - m**2*p*y*z + 11*m**2*y + 2*m**2*z - m**2 - 16*m*p*y + 3*p*y*z - y*z wrt m?\nAnswer: 20304*p*y*z + 330*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21901381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4765 - -4767. Let o(g) be the first derivative of -4*g**a - 24 - 6*g + 1\/3*g**3. Determine o(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103604 = 103596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101001212101 + -20102?\nAnswer: 1101001121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 139*h + 23732 - 23176 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -171493 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, -6, 1\/8, -215 in descending order.\nAnswer: 6, 2, 1\/8, -6, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - (5 - 1))\/(-1). Suppose 3*u + 10 = -5*f - 7, 0 = -u + 5*f + k. Let n(b) = -b**3 - 5*b**2 - b + 1. Give n(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239639 times -3?\nAnswer: -718917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 2*c + 706. What is the remainder when 362 is divided by f(25)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.2576 + 0.2576. Let u = -57\/43 - 1\/129. Which is the third biggest value? (a) u (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4384841, -8769690, -13154539, -17539388, -21924237, -26309086?\n\"Answer: -4384849*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -51*n**2 + 2*n - 6. Let l be h(5). Let j be (-1)\/(-2) - l\/90. Let i = -72\/5 + j. Which is smaller: i or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -32. Let r = -24 - y. Let g = -4.3 + -0.7. Which is the closest to 0.2? (a) -2\/5 (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-18))\/((-52)\/((-31616)\/38))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 950 - 2343 = 310*p + 4461 + 346 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/9 + 356\/(-267).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24\/11 in -0.5, 2\/23, -1.9?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 0 - k + 2 - 228*k**3 - 230*k**3 + 447*k**3. Let g(r) = 9*r**3 - r**2 + 2*r - 3. Let s(o) = -4*b(o) - 5*g(o). Calculate s(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, a: 3, s: 1, f: 4, e: 1, i: 7}. Give prob of picking 1 k, 1 f, and 2 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 374\/2 + (2 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**5\/60 - 11*s**2. Let a(p) be the second derivative of -p**4\/3 + p. What is n(a(h))?\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = r + 2*k, -3*k - 8 = -r - 0. Suppose -10 = 3*h - 4*w, -2*w + r = -2*h - h. Let y = -5 + 2. Put y, 5, h in decreasing order.\nAnswer: 5, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-5))\/(1\/(-10)). Is 5 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/61 (b) -0.5 (c) 13.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 1 - ((11 - 13) + 6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 13*o**2 + 31*o - 49. Let y be s(-9). Let g(r) = -7*r**2 - 4*r - 4. Give g(y).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -10. Suppose 19 = -x*n - 2*m - 3, 4*n + 3*m + 28 = 0. What are the prime factors of (-6)\/(-4)*n\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssssssssssscs. What is prob of picking 2 s and 1 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 130843 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: Let r = -20 + 22. Suppose r*s = s + 718. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 13*i**6\/15 + 13*i**3\/3 + 4*i. Find the second derivative of y(f) wrt f.\nAnswer: 312*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3 - 97*k**2 + 304*k + 400 = 0 for k.\nAnswer: -100, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 2*n + 0*n + 12 + n. Let l be c(-5). Suppose -l*o = -3*o. Are o and 6\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4613, 4813, 5141, 5597, 6181, 6893?\n\"Answer: 64*l**2 + 8*l + 4541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -56314, 1, -2\/3, -2?\nAnswer: -56314","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-5)*m)\/m*m)\/m)\/(m\/m**(-3\/10)))**(27\/5) assuming m is positive.\nAnswer: m**(-1701\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-17)\/((-272)\/(-264))*-26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 2*v - 1. Calculate the lowest common multiple of 15 and p(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*i**2 + 75*i**2 - 46*i**3 - 152*i**2.\nAnswer: -46*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 608.54 * 13616\nAnswer: 8285880.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**3*v**2 + 2*c**3*v - 408678*c**3*w**2 - 3*c**3*w - 4*c**2*v**3*w**2 + 9*c**2*v + 2*v**3 + 355*w wrt w?\nAnswer: -817356*c**3 - 8*c**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 873409*k**2*n**2 + k*n**2 - 2*k*n - 2*n**2 - 4*n - 1566 wrt k?\nAnswer: 1746818*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -2\/3*l**4 + 0*l**2 + 0*l**3 + 0*l**5 - 3*l - 4\/15*l**6 + 0. Find the third derivative of g(c) wrt c.\nAnswer: -192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1983 + 0.197. Round p to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69.5 - 70. Suppose 6*m = 35 - 215. Let i be ((-12)\/(-10))\/(81\/m). What is the biggest value in -5, i, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3 (b) -61.2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4*k - 36, 4*k - 8*k - 44 = -3*p. Suppose c = -12 + p. Let w(q) be the second derivative of -q**3\/3 + 6*q**2 + q. Calculate w(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 85*l**9\/504 + 11*l**5\/15 - 4*l**2 - 5. Find the third derivative of w(r) wrt r.\nAnswer: 10200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 73, 81, 79, 61, 21, -47, -149, -291?\n\"Answer: -i**3 + i**2 + 12*i + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27688776 by -8.\nAnswer: -3461097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 5, -4947 in increasing order.\nAnswer: -4947, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15*5\/10)\/6.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8619031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*a**2 + a - 2*a - a.\nAnswer: 19*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a minute in seconds?\nAnswer: 1230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 4 (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3048, 3070, 3108, 3162, 3232, 3318?\n\"Answer: 8*v**2 - 2*v + 3042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = n + 476, 0 = g + 5*n - 1 - 115. Suppose j - g = -j. What is the common denominator of ((-93)\/j - -2)*-22 and 21\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1751*f**3*v**2 - 2*f**3 + f**2*v - 996*f*v**2 wrt f.\nAnswer: -10506*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1066964?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462368 is divided by 92465.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.97 plus -0.1193866?\nAnswer: -20.0893866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 79\/(371063\/(-122))*-84\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 222 and 296?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -2.1, 1, -0.122, -1916?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1318962 to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7669 - 4062. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 6*z**2 - 6*z - 7. Let b be o(7). Sort 3, 4, -4, b in decreasing order.\nAnswer: 4, 3, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + -3)\/(3\/12). Suppose 5*t + 30 = v*s, -2*s = t + 3*t - 2. Let o(p) = 39*p + 12. Is o(s) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 42\/(((-18)\/(-4))\/(-3)). Let b = c + 63. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 46*m**2 - 690*m - 2063. Let p be t(-3). Solve p = 10*o + 341 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n**3 + 21*n**3 - 26*n**3 + 16*n**3 + 16*n**3.\nAnswer: 39*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 9*m + 20. Let z be d(-4). Suppose 2*x = -l - 3 + 45, 5*l = 4*x + 210. Let q = -167\/4 + l. Is z less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.04 + -0.04. Let t = z + -9. Sort 3, 0.2, t in decreasing order.\nAnswer: 3, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*-3)\/((4*sqrt(196) - sqrt(4)) + sqrt(4)).\nAnswer: -15*sqrt(7)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 8) to base 15\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**3*y - 7*o**3 + 10*o**2*y + 418*o*y wrt o.\nAnswer: 6*o*y - 42*o + 20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 11617 to the nearest one hundred.\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1127 + -1118. Let q = 0 + 4. Which is the third biggest value? (a) q (b) 1\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 238 + -194. Suppose 482 - a = 2*i. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*p - 157*p + 1476 = 0. What are the prime factors of p?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x - 4*x)*(0*x + 0*x - 2*x)*(3*x - 3*x - 2*x).\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 14*j + 3. Let q be l(6). Let m = q - 46. Solve -8 - 2 = d - 4*a, 7 = m*d - a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*b - 164 + 28 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5262.489 to the nearest integer.\nAnswer: -5262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -3*f + 0*f**2 + 0*f**6 + 0 - 1\/14*f**7 + 1\/2*f**3 + 0*f**4 + 0*f**5. What is the second derivative of v(d) wrt d?\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1264798 times -0.1?\nAnswer: 126479.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4620?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*z + 4. Let u be (-4)\/(-2) + z + (-9)\/12. Let g = -0.3 - -0.1. Which is the closest to 0? (a) g (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -628883 (base 11) to base 5\nAnswer: -224213140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (60\/5)\/(-3) - (-21)\/1. Suppose -20968 = d*x - 25*x. Find the first derivative of x*j**2 + 7 + 11 - 2633*j**2 wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 320 and 230.\nAnswer: 7360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 673 + -678 - (2 + -2 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24023*a + 2*r - 244 = 24019*a, -252 = 3*a - 7*a + 2*r for a.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 599 + -598. What is the fourth smallest value in 0.1, -2, p, -2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*l + 24, 0 = -4*l - 4*z - z - 3. Suppose -3*x + 7*x = 80. Calculate the remainder when x is divided by l\/(-12) + 58\/8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 20. List the prime factors of h*(-1 - -2) - -29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 603 and -777*7\/(-21) - -9.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -21*b**2 - 380*b + 3894. What is r(10)?\nAnswer: -2006","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.51 * -1034\nAnswer: 527.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - h + 11 = 0, u - 5*u = 3*h - 11. Let o(r) = -2*r**3 - 9*r**2 + 10*r + 7. Let p be o(-6). Find the common denominator of p\/u + (0 - 0) and 49\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 4. Let f = h + -12.55. Let l = -0.05 - f. Round l to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/21, -4, -0.1 in descending order.\nAnswer: 10\/21, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + o = -53, -41*o = 2*g - 38*o - 11. Suppose -2*i + 4*w = 2 - 8, -5*i = 2*w - 15. Solve 2*s = 5*l - 10, -l = i*s + g - 29 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -0.418934?\nAnswer: -0.318934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from ttttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 59*z - 118. Let v be j(2). Let q(u) be the third derivative of -5\/24*u**4 + 0 + 18*u**2 - 1\/60*u**5 + v*u + 7\/6*u**3. Give q(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d**2 - 6*d + 2. Does 11 divide r(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - o + 3*o)*(-o + o - 3*o) + 0*o**2 - 4*o**2 + 3*o**2 + (3*o + o - 5*o)*(0*o + 4*o - 5*o) + (0 + 3*o + 0)*(-24*o + 87*o + 12*o).\nAnswer: 219*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19344792 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 g when four letters picked without replacement from eeeeeeeegegegegggeg?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3 + 950547*l**2 - 75295441872*l + 75294491328 = 0. What is l?\nAnswer: 1, 158424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + g + 1, 4*g - 2*g + 23 = 5*b. Let i = b - -2. Solve 0*s + i*s - 10 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1731258?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 k when four letters picked without replacement from keihhkkkeihhkieke?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -875 - 1576*n**2 - 13813*n + 13813*n wrt n.\nAnswer: -3152*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 11*i + 1. Let o be d(-11). Let x be 3*(-16)\/(-6) + o*-4. Solve -x = -q - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 29.93883165.\nAnswer: 24.93883165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 221*k**2 - 481*k + 8481. Determine s(219).\nAnswer: -936","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/32)\/((-122)\/(-32) + -4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18591605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -37694 from 6878.\nAnswer: 44572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22704052 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2261\/3 - 753. Let n = 0.288 - 0.788. Which is the closest to -0.2? (a) 5 (b) x (c) -2\/11 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to -66796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*q = 32*q + 10592. What are the prime factors of q?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*v + 106*v + 15 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*x = -2 - 44, -3*g + 111 = -3*x. Suppose g*j + 105 = 40*j. What is the greatest common divisor of j and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*(26\/26)\/(-10 + -3)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*b + 157 = -359. Solve 2*n - 2 = 3*x, -2*n - 3 = -b*x - 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 plus 349609.4?\nAnswer: 349615.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mamam?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-38)\/14 + 8\/(-28). What is the units digit of (-528)\/(-18) - (-1)\/i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212333333 (base 4) in base 7?\nAnswer: 1233503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 839*x + 851*x - 2030*x + 801*x.\nAnswer: 461*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 8 + 1 + 4 + -5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 2*r + 1. Let o be d(-7). Let k = o + 91. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34158205 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6*i + 286 = s, 3*i - 4*s = -208. Let n be (4 - 5)\/(-5) - i\/15. Find the third derivative of 228*r**5 - 216*r**n - 45*r**2 + 11*r**2 wrt r.\nAnswer: 720*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**6\/30 - 677*m**4\/12 - 434*m**3\/3 - 754*m. What is the second derivative of t(r) wrt r?\nAnswer: -12*r**2 - 1354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 5, -7.4, 13.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ardi when four letters picked without replacement from {i: 1, d: 1, a: 1, y: 1, r: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -22. Let d = 0 - u. Let x(n) = -20*n - 793. What is the remainder when x(-42) is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5878333 smaller than -5878372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2835 + 2841. Solve f*r + 54 = 24 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 3*a + 3*m - 17, 71*a + m = 68*a + 19 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 - -123.7292.\nAnswer: 124.4292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppw when three letters picked without replacement from {p: 8, l: 7, a: 1, w: 2}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, p: 3}. What is prob of sequence ep?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5)**22\/(j*j**(4\/7)*j*j**(-7\/6)*j) assuming j is positive.\nAnswer: j**(4519\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyq when three letters picked without replacement from uuqyyuuyu.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0.03 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 3*j + 7, -5*g - 2*j + 7 = -4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4427000 and 46600?\nAnswer: 4427000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 - 2*w**4 + 2*w**4)*(-4 + 4 + w) + 5535*w**5 + 4591*w**5 - 4*w - 91 + 4*w + 91.\nAnswer: 10127*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7)*b*b*b)**(-13)\/(b**1)**(-2\/55) assuming b is positive.\nAnswer: b**(-13571\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 8 = -5*f - 21 - 10, -34*f - 2*a = 138 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 297402 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.65766 rounded to one decimal place?\nAnswer: 50.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**5 + 37860*o**4 - 37865*o**3.\nAnswer: 5*o**3*(o - 1)*(o + 7573)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 9 + 9 + -37?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -cc (base 16) in base 3?\nAnswer: -21120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 23. Let l(a) = -20*a. What is l(z(j))?\nAnswer: -20*j**2 - 460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -324 + 324 + 56*o to d + q*o and give q.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*v + 49*v - 16*v)*(2 - 4 - 3).\nAnswer: -455*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28996 and 22?\nAnswer: 28996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5798 is divided by 5573.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59486674*k**3 + 281*k - 322784 wrt k?\nAnswer: 356920044*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30523 and 0.1?\nAnswer: 3052.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 60 = -7*m. Let u be (-3)\/(-2)*(-16)\/m. What is the highest common divisor of u and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -6 - 3. Calculate the greatest common divisor of 15 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**2 - 19*q - 2. Let j(c) = 8*c**2 - 29*c - 5. Let p(f) = 5*j(f) - 7*x(f). Determine p(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -153 + 155. Solve 8 = -2*x, -d*q + q + 5*x = -15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z + 8. Let t be (-1 + 8)\/(2\/(-4)). Let s = t - -8. Determine j(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 5*m - 2*t, 4*m - 35 = 2*m - t. Suppose -f = 5*u + m - 68, 5*u - 40 = -3*f. Suppose u*z - 4*z = 469. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 + -39. Let k be x\/10 - -8*(-4)\/(-20). Suppose 2*b - 4000 = 5*z + 5*b, 0 = z + k*b + 800. Round z to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 435 + -404 - (-1 - -64).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 a factor of 7361361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16726 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.371 - -78.629. Let c = k - 79.000782. What is c rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 7, -360, 0.\nAnswer: -360, -5, -2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p = -19*p + 24. Let f(i) = 2*i**3 + 8*i**2 + 3*i - 3. Let a be f(p). Solve 2*d + a = -2*h - 2*d, -5*d - 20 = 5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -103432, -103399, -103366?\n\"Answer: 33*j - 103465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kg when two letters picked without replacement from kgxaax?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 0*c - 854. Let p = c + -122. Suppose p = -8*q + 2838 - 958. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 3. Let a be c(3). Suppose k = -4*k, -2*r + 2*k + 16 = a. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75692 <= 75687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + 2a?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 + -3)\/(4 + (-4)\/2). Let p(s) be the second derivative of 0*s**2 + s + 1\/2*s**f - 1\/4*s**4 + 0. Find the second derivative of p(q) wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1007 - 3077\/3. Calculate the common denominator of -21\/25 and s.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10388?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f - 12. Let k(t) = 1. Let p(m) = -12*k(m) - v(m). Let g(s) = -2*s + 6. Let o be g(0). Let y(l) = -l + o*l + 9*l - 13*l. What is p(y(u))?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 168.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 15*g + 255. Calculate the remainder when 209 is divided by b(-23).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.22526 millennia in years?\nAnswer: 5225.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from oolllsmsmlolmsmmmlm.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**7)\/h**(4\/17) assuming h is positive.\nAnswer: h**(149\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by -8206?\nAnswer: 75\/8206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r = 8. Let w be (1 - r\/2)*1. Let f be (-1 + 1)*(w + 2). Solve 2*s + f*s = 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 + 713\/279*18.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 10. Let h be (1 - 0)\/(2\/4). Suppose -13 = h*p - p. Let y be c(p). Solve 4*x = y*k - k + 14, x - 11 = 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (-1572)\/68 + (-174)\/68*-2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 8*f**2 + 10*f - 8. Let r = 16 - 11. Suppose r*z - 94 = 91. Calculate the remainder when z is divided by w(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88137 and 819?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3 - 1. Suppose 2*v = 3*b - 51, 8 = -3*v - g. Let p = -11 + b. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - -415604.4.\nAnswer: 415626.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w + 22. What is p(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 1. Suppose f*r - 2*o = 10, 4*r + o = 3*r + 5. Let x(p) be the second derivative of p**5\/20 - 5*p**4\/12 + p**3\/2 + p**2 + p. Calculate x(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, 2, 2.711, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 0.1166 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - d + 34 = 0, 20*k - 24*k = -3*d + 42. Let s be 17\/68 + (-33)\/k. Suppose -a = 3*a. Put s, -1, 5, a in decreasing order.\nAnswer: 5, s, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -2, 9, 3 in ascending order.\nAnswer: -2, 3, 9, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 45 + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-7))\/(69\/(-126) + ((-2718)\/108 - -25))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + n = 5*n - 5, 4*z + 4*n - 4 = 0. Let u = 11 + z. Let p = u + -7. Solve w = -p*w + 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3394.7 * 2.79\nAnswer: 9471.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -490207.47 - -494886. Let j = 4745 - l. Round j to 0 dps.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147\/((-39984)\/(-340)) + (-870)\/(-8).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -5428664.\nAnswer: -10857328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*j**5 - 21*j**5 - 450*j + 530*j + 51*j**5 wrt j?\nAnswer: 1040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.35? (a) 34.9328 (b) -2\/11 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1898956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 132510518 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12 - -10)*3\/(3\/(-14)). Calculate the highest common divisor of z and 413.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**3 - 2*y**2 - 7*y - 23. Is b(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.5 + -4. Let n be 42\/4 + (-2)\/4. Let c be 12\/n*5\/2. What is the smallest value in 1, s, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4 = -3*q, -2*j = 2*q - 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 9) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 23*j**2 - 4. Let i be c(-23). Let k(y) = -y**2 - 2*y + 4. Calculate k(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 94 = -55. Suppose r*c - 1890 - 552 = 0. What are the prime factors of c?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 2*q**5\/5 - 2*q**2. Let j(z) = 18*z**2 + 7*z - 3. Let b be j(4). Let x(t) = -t - b - t + 313. Calculate s(x(g)).\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -76 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*x - 780 = -44*x + 735 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48.452 - 1143.3.\nAnswer: -1191.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-38)*-2)\/(-1).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*p**5 + 5*p**3 + 37*p**5 + 4*p**4 - 46*p**5.\nAnswer: -p**3*(p - 5)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (252\/49)\/(84\/490).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*x = -9, -16 = 4*n - 2*x - 6. Let y be (-55)\/15*(0 + (-3)\/n). Let u = 37\/6 + y. Which is the nearest to 1? (a) 4 (b) -0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -6\/5 (c) 4 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143293\/9 + -15921. Find w such that 0 + o*w**2 - 4\/3*w = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2205062957 to the power of 1\/2, to the nearest integer?\nAnswer: 46958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 37360 and 0.\nAnswer: 37360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275, -570, -877, -1202, -1551, -1930?\nAnswer: -2345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07801 - 12338.633942?\nAnswer: -12338.711952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 145612801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1412190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 0)*(-2)\/(-18). Let b = 1047.1 - 1056.201. Let c = b + 0.101. What is the nearest to 0.1 in -3, c, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 386638175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27850487.\nAnswer: 7, 3978641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, j: 2, b: 2, r: 1, m: 2, t: 2}. Give prob of sequence jtw.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 417 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -13418955?\nAnswer: -2\/13418955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0, -0.2, -0.1, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19362.466 and -8266.\nAnswer: -27628.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 157017, 627997, 1412963, 2511915, 3924853, 5651777?\n\"Answer: 156993*t**2 + t + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttft. What is prob of sequence tf?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 2*x + 18, -3*x = 5*s - 8*s - 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38*(-9)\/3*(-13)\/39?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 2:33 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s**5 - 11935*s**4 + 149825*s**3 + 278835*s**2 + 60530*s - 56560 = 0. Calculate s.\nAnswer: -808, -1, 1\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 6:06 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -49 - 22*n**3 - 2*n + 6*n**2 + 18*n**2 + 10*n**2 + 21*n**3. Is x(30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -493066 or 0.0803?\nAnswer: 0.0803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**3\/3 - 7*i. Let a(j) = 2*j**2. Calculate w(a(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 17636?\nAnswer: 17636.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - sqrt(252)\/sqrt(4))*-3 + 5*sqrt(1575))\/(((sqrt(99) + sqrt(99)*-2)*-3)\/(-2*sqrt(22)\/sqrt(2))).\nAnswer: -50*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - w. Let d(z) = -2*z**2 - 6*z + 2. Let c(g) = d(g) - 2*y(g). Let m be c(-4). Let r = m - -86. Calculate the greatest common factor of r and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 116 = -1376. List the prime factors of s.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + h = -104, 0*d - 2*d = -4*h - 56. Suppose 2*s = 188 - 30. What is the remainder when s is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -9*u + 4. Let k be m(1). Sort 2, -3, k in descending order.\nAnswer: 2, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -654*b**2 - 791*b**2 + 1168*b**2 as n*b + o + w*b**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 14.76. Let g = z - 0.04. Let a = 0.19 + g. Which is greater: 0.1 or a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/6)\/(1\/(-16)). Let i(w) = -w - 6. Let h be i(q). Suppose j - 4*j = -h*k + 48, 0 = 3*k + 4*j - 106. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5)\/(149\/(-3725)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43965 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -8 - 52. What is the hundreds digit of (-12)\/m + 1737\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -d + 2*d. Let i = 190.7 - 188.7. What is the fourth biggest value in i, d, 2\/9, 1\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 4, 12, 0.04, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) -0.03 (c) 2\/7 (d) -1\/4 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 213323, 426278, 638877, 851120, 1063007, 1274538?\nAnswer: 1485713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*l**2 + 9*l**2 + 6*l**2 - 10*l**2 + 18*l in the form o*l + n*l**2 + a and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 678 = 74*w - 72*w - 11794. What are the prime factors of w?\nAnswer: 2, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 25*t - 859. Let j be s(35). Let l be 1 + 39 + (-2 - -4). Suppose -47*b**4 - 6*b**2 - 5*b**3 + l*b**4 + j*b**2 = 0. What is b?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -2, 1258, -5 in decreasing order.\nAnswer: 1258, 4, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 195381798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 + 4*s**3 - 7*s**3 + s + 3*s**2 - 1. Let j be b(3). Suppose -3*o = o - j*n - 72, 18 = o + 4*n. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/1*22\/(-176)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4 - 3*v - 1 - 1. Suppose 0*s + 3 = -s. Let f(c) = c - 1. Let x = -77696 + 77688. Calculate s*w(a) + x*f(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6*44.37023\nAnswer: -266.22138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08390573451 to 4 dps.\nAnswer: -0.0839","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 9*n**2 - 10*n - 1. Let d(k) = 4*k**2 - 8*k + 5. Let c be d(7). Suppose c*z + 20 = 141*z. Let v(o) = -17*o - 75. Let t be v(z). Give x(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 31 = 5*z, -531*z + 532*z - 19 = -2*r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 4, -42 = 9*i - 4*i + 2*j for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 3*i = 99. Let u be (-60)\/(-21) + (129\/21 - 6). Suppose -4*x = 3*p - 125, -u*x = p + p - 84. What is the remainder when p is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 4*j - 4*j)*(2 - 6 + 5)*(91 + 13*j - 91).\nAnswer: 26*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*o + 2*o - 55, -3*o + 2*l = -20. Let q = o - 12. Let j be (-1 - q)\/((-3)\/(-9)). Solve 2*x - y - j = 0, -x + 2*y = 2 + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (-1 - (-8)\/12*-6). Let x = -1 + d. Let y be ((-9)\/(-12))\/((-2)\/(-192)). What is the highest common factor of x and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -10\/3*y**3 + 0*y**2 - 18*y + 16. Differentiate n(m) wrt m.\nAnswer: -20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 5\/3, 4, 2, 0.05?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 6*n + 8. Let d be g(-7). Let r be (-1 - -8)*-1*d. Let s be -5 + 2\/(-1) + 1. Which is smaller: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 967920.9s?\nAnswer: 967920900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -8*u**4 + 41132*u**3 - 61672*u**2 - 41120*u = 0?\nAnswer: -1\/2, 0, 2, 5140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 26*k**2 - 11*k + 417. Let c be b(-27). Is 4 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 + 223*f**2 + 964*f + 91. Determine n(-107).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 <= -0.157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 13*s**2 + 24*s + 874. Determine i(-15).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/4))**11\/(w**(-2)*w*w**(-2)))\/((w**1)**(-16\/3)\/((w*w\/(w\/(w**(-1)*w))*w*w)\/w)**32) assuming w is positive.\nAnswer: w**(967\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3658.\nAnswer: 2, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkhklblk. What is prob of sequence kbl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -304, -614, -924, -1234?\nAnswer: -1544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13.246 equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -8*s**2. Let g(n) = 5*n + 8 - 3*n + 4 - 4*n. Calculate g(m(f)).\nAnswer: 16*f**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 432, 904, 1450, 2094, 2860?\n\"Answer: 4*a**3 + 13*a**2 + 405*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(121) - (2*sqrt(121)*3 + sqrt(121))))\/((sqrt(704) + (sqrt(704) - sqrt(704)*-1 - sqrt(704)) + sqrt(704))*-2).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 8:00 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 1. Let u be d(0). Let n(a) = -a**2 + 1. Let q(i) be the first derivative of -i**3\/3 - 2*i - 610. What is u*n(h) + q(h)?\nAnswer: -2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 171\/2*2*(36846\/(-621))\/89\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4235) - (sqrt(4235)*-1 - sqrt(4235)))\/(sqrt(10)\/(sqrt(32) - sqrt(2))).\nAnswer: 99*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135 divided by -15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.249 - 0.219. Let r = 0.4 + h. What is r rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4262 - 5*s - 4290 + 8552.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + ((-1)\/1)\/(48 + 205958\/(-4292)).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 t when three letters picked without replacement from zzymiirrzizrzt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 + 14 = -5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5894124 is divided by 3018?\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8)*(1 + -2). Let m = 29.23 + -29. Let c = m + 1.77. What is the fourth biggest value in i, -2, c, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1fd3 - -cfa?\nAnswer: 2ccd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 3*l, -5*u + 3*l = -82 + 52. Solve t + 10*y = 12*y - 11, -15 = -u*y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - (17 + -24)) + (0 - -6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*m + 3*t, 2*m = 7*m - 4*t - 15. Is m >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15759, 15762, 15765, 15768?\n\"Answer: 3*g + 15756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 5*b**4 + 4005*b**3 + 378935*b**2 - 769905*b + 386960 = 0.\nAnswer: -691, -112, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 4*r = -3*p - 695, -p + 139 = -2*r. Suppose 3*o = 2*q + p, 0 = 3*o - 2*o - 5*q - 42. Does 27 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/4)\/(5\/(-60)). Let x be (f\/24)\/(1\/(-4)). Let q be 141\/x - (-6)\/(-30). Calculate the highest common divisor of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z + 16. Suppose -3*y = -g + 9, 24*y = 3*g + 22*y - 34. Suppose z*b - 12 = g. Solve -5*n = -b + 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51591232 divided by -12897808?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15932 plus 12.7?\nAnswer: 12.85932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2*n + 904, -44*n = 2*d - 41*n - 919. Is 91 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -395445221 take away -55803?\nAnswer: -395389418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 6.6 and 2118 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 45548037 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: List the prime factors of 53823.\nAnswer: 3, 7, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31207 = 252*a - 67829. Which is smaller: 398 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, j: 1, s: 4, v: 8}. Give prob of picking 1 v, 1 g, and 1 j.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.124*251471\nAnswer: -31182.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 x when three letters picked without replacement from aaaxjxacj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = q - 1. Let p(y) = y**2 + 6*y**q + 5*y**2 - 13*y**2. Let a(i) be the second derivative of 4*i**3\/3 - 64*i - 1. Calculate p(a(m)).\nAnswer: -64*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-12 + 13)*55\/(-3). Let f = 49 - z. Let r(x) = -x**3 - 5*x**2 + 7*x + 8. Determine r(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 22413*r + 22252*r - 1 to the form o*r + a and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsq when three letters picked without replacement from {n: 5, q: 3, e: 3, c: 1, s: 8}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -132*h. Let r(q) = 14*q**2 + 7840*q - 56. Let s(t) = 140*t - 1. Let g(w) = r(w) - 56*s(w). Give g(n(o)).\nAnswer: 243936*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*o - 2*x, -2*x + 4*x + 3 = o. Let v = o - -25. Calculate the least common multiple of v and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13320271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**7\/14 - 4*x**5\/5 + 2*x**4\/3 - 7*x**2\/2 + 159*x. Find the third derivative of r(b) wrt b.\nAnswer: 180*b**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -576703 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88 + 80.3. Let t = -7.8 - w. Let i = 0.8 - 3.8. What is the second smallest value in -11\/2, i, 2\/17, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1460*q - 242 + 701 - 216 - 243.\nAnswer: 1460*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12232278 divided by -9?\nAnswer: 1359142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxmxm. Give prob of picking 2 x.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**4\/6 - 10*o. Let m be (-6)\/(-24) + (-2)\/(-16)*14. Let j(g) = 3*g**2 - 2*g**2 + 0*g**2 - m*g**2. Determine a(j(t)).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(28)\/sqrt(4)) + 2 + 3*(-1 + sqrt(3) + sqrt(12)\/sqrt(4)))*-2.\nAnswer: -14*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*r**2 + 2950*r + 14*r**2 - 2950*r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9643454 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1933 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64752 divided by 6.\nAnswer: 10792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*l + 79. Let r = l - -30. What is the highest common factor of r and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -6. Let i be (-12)\/9*(222\/185)\/(8\/10). Which is smaller: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7061, 14745, 22429, 30113?\n\"Answer: 7684*o - 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/24)\/((-3)\/4). Let p = -5.5 + 5.6. Which is bigger: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {r: 6, s: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 26 = -2*j - 2*u, -3*u = 9. Suppose 19*g = j + 85. Solve 0*s = s - g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6 (b) -732 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 819 a factor of 222278060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 16) in base 4?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203132 (base 4) to base 8.\nAnswer: -4336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 15 = q - 5*a, 3 = 3*q + a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -946041 = -11*r - f, 2*r - 29327 - 142639 = 5*f. Is r a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 605.5171 litres to millilitres.\nAnswer: 605517.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 68*g**2 + 1. Let b(t) = -1. Calculate -b(s) - o(s).\nAnswer: -68*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 7:52 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -31. Suppose 0*q = -3*q + b*a + 40, -2*q + 32 = 4*a. Differentiate -43 + 15 + q + 19 - 20*k with respect to k.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.32, -9?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42.9 - 242.9. Let g = 185 + m. Sort g, 1, 3\/4 in increasing order.\nAnswer: g, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-321)\/(-1833) + (-5)\/7 + (-255)\/(-455).\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*j. Let o be -3*(-2)\/(-6 + j). Let t be (o - -7 - 3) + 0. Let b(h) = h**2 - 3*h - 1. Calculate b(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 657508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 346293 and 2471.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*a - 390*a + 15122730 = 0. Does 69 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 160\/2*35\/20. Let m = -279\/2 + n. Factor 1\/4*z**2 + 1\/4 - m*z.\nAnswer: (z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**3 + 2*t**2 - t. Suppose 25 = 4*o + o. Suppose o = 5*u - 0. What is v(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 4*s - 20 - 9 + 33, -9*s + 33 = 2*j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - 337225?\nAnswer: -337230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33563062 (base 7) in base 2?\nAnswer: 1011001001101001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 221110 (base 3) to base 9\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2) + 15\/10. Let h = -1.2 - -0.2. Sort v, h, -2\/7 in descending order.\nAnswer: v, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 1\/8, 14, 2\/5, 194, -1\/3 in descending order.\nAnswer: 194, 28, 14, 2\/5, 1\/8, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 + f**4 - 2 + 0)*(39 - 39 + 1).\nAnswer: 3*f**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3181043.228 to the nearest 100.\nAnswer: -3181000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.9 - -13. Let l = k - 1.6. Let a = l - 1.5055. What is a rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -f + 26, -f - 4 = w + 10. Let q(m) = 2*m - 8. Let v(a) = -a**2 + 5*a + 2. Let y be v(4). Let k be q(y). Put 5, k, w in decreasing order.\nAnswer: 5, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10620337, 2\/11, 0.011 in ascending order.\nAnswer: 0.011, 2\/11, 10620337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in 5, 3, -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3061, 19220, 63099, 148558, 289457, 499656, 793015?\nAnswer: 1183394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2664798 rounded to 2 dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 1, -18982 in descending order.\nAnswer: 1, -0.01, -18982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 20 in descending order.\nAnswer: 20, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, 17.2, -1\/152, -4, 1, -0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 48*j - 5 - 7 + 12. Let n(u) = -2*u. Calculate b(n(z)).\nAnswer: -96*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 171012770 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 39\/(-3) + 0 + 2. Let d = 7 + b. Let s(j) = -4*j + 1. Does 6 divide s(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -168396, -336448, -504500?\n\"Answer: -168052*s - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.46 - -3.46. Which is the nearest to -1? (a) -4 (b) h (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77*130.\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1122090817?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -128*n - 697 + 697 as i*n + w and give i.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -44519 and 137.5?\nAnswer: 44656.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*g = -120*g + 44. Let p = 50 + g. Let l = 43 - p. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441563281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 1 + 23. Suppose -34*p + 12732 = -y*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b8 + 1?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-430*q**2 + 30021*q - 860*q**2 - 30023*q)*(-4 + 1 + 6) as w*q + f + v*q**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.11 - 3.05. Let f be (6\/14)\/(18\/63). What is the second biggest value in f, c, -0.07?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/4*14\/(-4). Let g = -3 - y. Let p = g + -1. Calculate the remainder when p is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 11, -29 in increasing order.\nAnswer: -29, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34*y - 774 + 774 + (-y - 1 + 1)*(3 + 2 - 6))*(-y - y + y - 1) to t*y + v*y**2 + q and give v.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67061, 268193, 603399, 1072667, 1675985?\nAnswer: 2413341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356*t = 352*t + 20. Suppose 3*p = -2*f + 1404, 6*f - 3*f + t*p = 2105. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -430370, 4, 2\/3, -0.5, -4 in descending order.\nAnswer: 4, 2\/3, -0.5, -4, -430370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u. Let y(j) = 16*j**2 - 11*j + 11. Suppose 4*q = 4 + 4. Let v(z) = z + z**q - 4*z**2 + z - 2. Let l(w) = 11*v(w) + 2*y(w). Determine o(l(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (0 + (2 - -2) - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 4*i - 4*i)*(-1 - 2 - 4)*(-2 - 2 - 1).\nAnswer: 140*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by (-76)\/(-57)*135\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*r + 4 - 4. Suppose -2*j - 2*h + 12764 = 0, r = -4*h + 6 - 26. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u - 16*u = -3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9\/10 of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -3*h + q + 512, -5*h - 4*q = -1081. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1143, -2280, -3417, -4554, -5691?\nAnswer: -6828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 321007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 10*s + 11. Let l be k(-11). Suppose -2*c = 4*o - l, -3*c + 2*c = o - 7. Suppose 41 = o*p - 3. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (247\/(-39))\/((-99)\/(-297)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 19. Put 3, b, 1 in descending order.\nAnswer: 3, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6 - 8*x + 1 - 12*x**2 + 11*x**2 - x + 0*x. Give m(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1100, 1098, 1096, 1094?\n\"Answer: -2*q + 1102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.838 and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 585767 is divided by 2070.\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/18 - (-2)\/(-3). Solve -5*r + 1 + 4 = u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1417317329 to the nearest integer?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/5, -4\/5, 0.5.\nAnswer: -4\/5, 2\/5, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/10)\/(160\/1200)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 36 = 4*o, 2*o = -13*q + 16*q - 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45377 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109 - 109 - 52*g)*(10*g - 9*g + 18*g).\nAnswer: -988*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 5.3. Let p = 145 - 142. What is the closest to 5 in p, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 6*j - 1. What is i(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from gqjjgjjjqqjqqjjjjjjj.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4391 - 107*v - 4391 + (-7*v + 4*v - v)*(6 - 3 - 4 + (-1 + 2 - 2)*(-3 + 2 - 1) + 6 - 2 - 2 - 1 - 2 - 1).\nAnswer: -103*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 51 = 2*v. What is the derivative of -v - h + 12*h**3 - 13*h**3 + h wrt h?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*i + 6 - 2 - 4 - 77*i - 47*i - 52*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*(-20)\/(-1320)*22?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + q + 15, -2*y + 2*q + 36 = 3*q. Suppose -15*h - 3*h = 36. Let z be 4\/26 - (12360\/52)\/h. What is the greatest common divisor of y and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -17) + (-5 - (0 - -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 + 12*c**2 + 3*c**2 in the form d*c + z*c**2 + f and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*r + 843\/4*r**4 - 1221\/8*r**3 + 0 - 243\/4*r**2 + 21\/8*r**5 = 0. What is r?\nAnswer: -81, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*j + 25. Let p be 68*(-1 - 20\/j). What is the second derivative of 19*c**5 - 26*c**5 - 20*c**5 + p*c wrt c?\nAnswer: -540*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 + 8*j**2 + 3*j - 10. Let n be b(4). Let y be (-42)\/63*(-39)\/n. Which is smaller: y or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-18) - (-623)\/42. Let h = c + -6. Calculate the remainder when 35 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-5\/2)*t)\/t*t**(-7)\/t*(t**(3\/5))**11 assuming t is positive.\nAnswer: t**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044236909 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2892 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*q**2 - 21*q**2 + 47*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 15 - 52 + 10 + 12 - 30*k.\nAnswer: -30*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 3*w + 3*w**2 + 3*w. Suppose 3*q + 276 = 7*q. Let p(k) = q*k - 36*k - 32*k. Calculate -l(f) + 5*p(f).\nAnswer: -2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 10:20 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 122*j - 804.\nAnswer: 2*(j - 67)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 10. Let r be x(-4). Suppose 10*a = 7*a + r. What is the third derivative of 2*o**2 + 12*o**6 + 6*o**5 + 2*o**a - 6*o**5 wrt o?\nAnswer: 1440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111.027 - -0.027. Let b = -1155180.9871 + 1155070. Let q = h - b. Round q to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v - 40 = -8*v. Sort 4, 1, v.\nAnswer: v, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/22 and ((-330)\/(-20))\/(0 - -21)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -25*y - 95. Let b be v(-8). Suppose -25 = 4*f - b. Calculate the remainder when f is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -24*p + 0*p + 29*p + 12 + p**2 + 13*p + 33. Give s(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 10:00 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*(1*(-5 + 0 + sqrt(288)) + 3)*3)**2.\nAnswer: -62208*sqrt(2) + 378432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/2)\/(4\/208*-2). Suppose l*r = 14*r - 46. 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 the value of 6\/20*((-64)\/432)\/(2\/(-9))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.07314 + -40.99714. Let l = 53 - 12. Let q = l + s. What is q rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, z: 4, i: 4, f: 3}. Give prob of picking 2 f.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-28)*(16 + (-663)\/34).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 34 - ((-5 - (-31 + 18)) + -32)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/2, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 172*r.\nAnswer: -4*r*(r - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**7\/70 + p**6\/4 + 17*p**5\/20 - 13*p**4\/2 - 30*p**3 + 818*p**2. Let m(v) = 0. What is v?\nAnswer: -6, -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13035609*-2.3\nAnswer: 29981900.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(320) - (5*(sqrt(320) + -2) - sqrt(320)))**2.\nAnswer: -480*sqrt(5) + 2980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 - 43.9999964. What is m rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*z + 3)*(-11359 + 17162 - 10512).\nAnswer: -14127*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209 + 153 - 238 = -98*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(9*r + 6*r + r)*(12*r**2 + 9*r**3 - 12*r**2 + (3*r**2 - 2*r**2 - 2*r**2)*(2 + 2*r - 2) - 12*r**3 + 20*r**3 + 11*r**3).\nAnswer: 416*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 216537127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.12 + -4.12. Suppose -5*a - 3*x - 21 = 0, 0*a + 3*x = 5*a + 9. Sort a, 2\/7, -0.4, k.\nAnswer: k, a, -0.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3196429?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1341 is divided by 213.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194341 is divided by 97166?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 150552 = 5*j, -46*r + 2*j - 75267 = -47*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + -2 + -2)*3 - ((sqrt(108) - (sqrt(108) - sqrt(108)*-4)*-6) + -3))**2.\nAnswer: 3078*sqrt(3) + 87804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 3*t - 2. Is 4 a factor of g(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 262 + 373. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/7)\/y)\/y**(3\/7)*y**6*y**(3\/5) assuming y is positive.\nAnswer: y**(176\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -50*v**5 + 17665*v**4 - 1536215*v**3 - 4250650*v**2 - 2372740*v - 316840 = 0.\nAnswer: -2, -1\/2, -1\/5, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25491800.\nAnswer: 2, 5, 197, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (-5)\/(-20)*-10. Let m = 140\/3 + -1826\/39. Which is the closest to -1\/2? (a) m (b) o (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1536 + 1072. Let c = 480 + i. Is 136\/9 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 5*g**2 - 1509245*g - 4527780 = 0.\nAnswer: -3, 301852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-19)\/(190\/(-2208)) - (-2)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*y**6*z**2 + 410223*y**3 - y**2*z**2 + 5*y**2*z + 4*y**2 - 29*y*z**2 + 3*y wrt y.\nAnswer: -240*y**3*z**2 + 2461338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2405*b**3 + 2*b**2 + 2*b + 10220 wrt b.\nAnswer: -7215*b**2 + 4*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3652*x**3 - 57*x**2 + 5428*x + 3. Let t(s) = 19*s**2 - 1. Let h(j) = i(j) + 3*t(j). Find the second derivative of h(u) wrt u.\nAnswer: -21912*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8970*p**3 - 4283*p**3 - 3933*p**3.\nAnswer: 754*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386089.\nAnswer: 11, 35099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 493989.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from mjjrmbj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 1:50 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q**4 - 6*q + 15*q**3 + q**2 + 0*q**2 - 6*q**5 - 5*q**2 - 5*q**2 - 3*q**3 = 0.\nAnswer: -1, -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p + 17*p = -12*h + 7*h + 3, -h - 17 = -5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2170*p - 2097*p + 1095 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 139419862?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 10 = 2*c, f - 3*c + 3 = -2. Let z be 4\/f - 48\/90. Which is greater: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 71575.101 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Work out -1147 + -2641.\nAnswer: -3788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*z = -20, -5*z = -5*o + 60. Let g(j) = -6720*j**2 + 10*j. Let a be g(o). Round a to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u = -24. Suppose 12*r - 288 = u*r. Does 33 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2 - 3*v**2 - 6 - 2*v**2 + v**3 + 6*v. Suppose x = 2*f - x - 10, -17 = -4*f + x. Calculate l(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*t - 11*t + 16*t**2 + 11*t**2 to k + a*t**2 + x*t and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 2, -27, -1 in increasing order.\nAnswer: -27, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvkuuuvukkkuukuu. Give prob of picking 2 u.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 0 + 0*u**5 + 1\/600*u**6 + 0*u**4 - u**2 + 0*u**3 + 0*u. Find z such that m(z) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81077 - -81088.99808. Let q = -17 + 29. Let t = y - q. Round t to four dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 25. Suppose -3*q - 4 = 3*x - 40, -i*x = -3*q - 84. Let f(h) = x*h**2 - 4*h**2 - 9*h**2 - 10*h**2. Let g(u) = -2*u**2. What is f(g(n))?\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2265*r + 2968. Let o(g) = 6781*g - 8902. Let z(i) = 7*m(i) + 2*o(i). Differentiate z(n) wrt n.\nAnswer: -2293","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2*z - 1 = 2*w, -4*w - 20 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 252?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-27 + 18)) + 8\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 58.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 1426 + 2225 = 0. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 51 = -24. Suppose f + 5*b - 15 = 0, 2*b = 5*f - 3*b - l. Solve -4*g = -2*n - n + 9, 2*g + 1 = f*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyqqoploolqely. What is prob of sequence ql?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11331 divided by -22\nAnswer: 11331\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krgfrkfggrkf. What is prob of picking 1 k and 1 f?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 + 9*p**3 + 6*p**2 - 36*p + 24.\nAnswer: -3*(p - 2)**2*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyutynhtppt. Give prob of sequence ty.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 7:59 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -7*c - c**3 + 2 - 7*c - 2*c**2 + 15*c = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 76.1165 millennia?\nAnswer: 761.165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 317834, 635541, 953128, 1270601, 1587966, 1905229?\n\"Answer: x**3 - 66*x**2 + 317898*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 + 244 = 18*s. Let u be ((-3)\/s)\/((1\/6)\/(-1)). Suppose -4*d = -4*j + 744, u*d - 339 = -2*j + 49. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48159 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*g**3*t**2*z + 4*g**3*t**2 - 809*g**3 - 4*g**2*t + 437*g*t*z - 8*t**2*z wrt g?\nAnswer: 234*t**2*z + 24*t**2 - 4854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 1. Let l(w) = 16*w. Let v be l(-5). Let f = -2045 - -2013. Let r be (-26)\/10 - f\/v. Let c(y) = 2. What is r*j(k) - c(k)?\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 7. Let j(i) = -10*i**3 - 3*i - 2. What are the prime factors of j(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**2 - 12*d - 16 = 0 for d.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -31*z**3 - 42*z**2 + 209*z + 423. What is r(-2)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**3 - 3*d + 3. Determine g(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -94\/15 at least -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 12, 10, 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, 55168, -3.\nAnswer: -127, -3, 55168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 8:30 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199776644 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r**4 - 11*r**3 + 36*r**2 + 132*r - 244. Let o(x) = 72*x**4 - 153*x**3 + 504*x**2 + 1848*x - 3417. Let d(y) = 4*o(y) - 57*z(y). Factor d(k).\nAnswer: 3*(k - 2)**2*(k + 4)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/(-35)*5\/2. Let o be (-15)\/(-30) + 1\/y. Solve o*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 24*y + 21*y + 19*y - 91*y + 24*y. Let d(n) = -1301*n. Give d(q(u)).\nAnswer: 3903*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.5 + 362?\nAnswer: 382.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/sqrt(4)*6 - (-5 + sqrt(325)).\nAnswer: sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -106247 (base 8) in base 10?\nAnswer: -36007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5\/n**(1\/8))**46*((n**(-1\/5))**(-7\/5))**27 assuming n is positive.\nAnswer: n**(23181\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o + 6. Let l be x(6). Let n be 0\/(l*(-3)\/6). Suppose n = 3*i + i - 212. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*c + 3 = 0. Let v be 2\/13 - 222\/(-78). What is the highest common factor of c and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 35*a + 26730 = 0. Calculate the highest common factor of 330 and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110110311 (base 4) to base 14\nAnswer: -8dc33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 1.28, 1\/5, 3\/19, -2 in ascending order.\nAnswer: -2, 3\/19, 1\/5, 1\/4, 1.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -76*f - 17220. Give d(-226).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -188, -280, -370, -458, -544?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24717056, -24717059, -24717062, -24717065?\nAnswer: -24717068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -50967412?\nAnswer: -50967414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 202432824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-two fifths of a microgram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 668 - -9415. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 235\/25 + (-6)\/(-10). Let r = -17 - -9. Let q = r + b. Solve -q = 3*c - 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1627611 (base 10) to base 6\nAnswer: 54515123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzoo when four letters picked without replacement from ztzot?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -106*f**3 + 4*f*r**2 + 147*r**2 wrt f?\nAnswer: -318*f**2 + 4*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363*m - 360*m = -5*s - 3447, 3*m = 3*s - 3471. Which is smaller: -1151 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7 - 2)*(-2*x**3 + 2*x**3 - 2*x**3) - 37*x**3 - 33*x**3 + 22*x**3 + (-x - x + 0*x)*(-1 - 3*x**2 + 1).\nAnswer: -32*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 35*u**2 + 0*u - 1\/5*u**7 + 95\/24*u**4 + 0*u**5 + 0*u**3 + 0*u**6 + 0. Find the second derivative of a(z) wrt z.\nAnswer: -504*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -3*a + 54. What are the prime factors of -3 - (a\/1)\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((0 - 4) + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*w - 132*w - 14 = -4*c, -5*w = -2*c - 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-3 + 0 - -5) - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(13)*3 + 1)**2*5 + -3*(-6*sqrt(1300)*-3)**2.\nAnswer: -1264780 - 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -10. Suppose n*b - 4 - 6 = 0. Solve b*v + 2*v = 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 84 = 3*q. Let a = -34 + q. Suppose 5*w = -0*w + a. Calculate the greatest common divisor of w and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 136 + -55. Let c = 30.638 - 34.638. What is the fourth biggest value in c, -2, l, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -10*u + 6*u + 4*c, -5*c = 5*u + 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i - 9. Let z = -3734 - -3770. Calculate the remainder when u(-18) is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 5:08 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*g + 0*g - 6*g + (2 - 2 + g)*(3 - 4 + 0) + 0*g + 0*g - g + g + g - 3*g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 244*g + 162. Is w(-69) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.5 in -0.079, 2\/69, 2\/9, 0, 3\/2?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 40*h**2 + 3*h + 25. Let d(i) = 79*i**2 + 5*i + 49. Let r(b) = 6*d(b) - 10*t(b). Find the first derivative of r(c) wrt c.\nAnswer: 148*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(4*sqrt(99)))**2.\nAnswer: 17\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*w**6 + w**5 - 1489*w**4 + 254*w**2 + 9*w - 1 wrt w?\nAnswer: 480*w**3 + 60*w**2 - 35736*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**5\/30 + 7*n**4\/24 + n**3 + 10*n**2. Let i be h(-5). Let x = -19 + i. Solve -2*u + x*r - 9 = -3*u, 0 = 2*u - 2*r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17975230.\nAnswer: 2, 5, 7, 13, 19753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32 + 22272?\nAnswer: 22314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*f + 121*f + 96*f = -476 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 306 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 4*r**2 + 3*r - 4. Let k be (-2)\/(1 + (-2)\/6). Let n be l(k). Let t be (n + -1)*(-2 + 1). Solve -2 = -s - t*o, o + 5 = s - 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66756017*i**4 + 22328853.\nAnswer: 267024068*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.04, -0.2, -1\/3, 3.41, 2\/15, -8?\nAnswer: 3.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 4:34 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16390785 divided by -1092719.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19d + 92?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 632 = -4*m - 508 + 1288 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-18)*(-144)\/32.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*((0 - 2 + 1)*(3*a - 3*a + 3*a) - 2*a - a - 2*a).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 11, k: 2}. What is prob of picking 2 z and 2 k?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -3*i + 173. Suppose 4 = 3*w - i. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - 3*l - 2. Let t be o(-1). Let p be (2\/(-14))\/((-2)\/(-4)). Sort p, t, -4.\nAnswer: -4, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is eb - -5563a?\nAnswer: 55725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 977\/3199 + -9\/457. Factor 2\/7*l**2 + j - 4\/7*l.\nAnswer: 2*(l - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1229, -1230, -1231, -1232, -1233?\n\"Answer: -x - 1228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -733*t + 67. What are the prime factors of o(-2)?\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6 = -4*u, -2*c - 4*u + 7 = -u. Solve 3*q + 12 = -2*b, -c*b - 4*q = q + 16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 35469?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -300 + 294. Let v = 16 + -17. Let f = v - l. Solve -c = -f*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1526085 + 3018878. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2. Let h(l) be the first derivative of l**4\/3 - 9*l - 1. Let a(f) be the first derivative of h(f). Calculate a(i(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -100421 - -147895. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*x**3 + 154*x**3 - 293*x**3.\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1\/l)**(-2\/61)*(l**(6\/5)\/l)\/(l**(-3\/2)\/l) assuming l is positive.\nAnswer: l**(27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -16822833 divided by -587\nAnswer: 28659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 less than -2638212686154?\nAnswer: -2638212686154.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -142.8 - -142.8. What is the closest to w in 1\/3, 2\/7, -0.5, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 909014 * 1.98\nAnswer: 1799847.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 364 = 2*o, -4*v + o + 350 = -4*o. Calculate the highest common divisor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 328.235 from 65.\nAnswer: -263.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15045.\nAnswer: 3, 5, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 11 = 7. Let a be 18\/81 + 22\/c. Calculate the remainder when 31 is divided by 4\/4 - (-15 + a).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1061 = 25*h - 24*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u + 25. Let n be r(-9). Which is the second biggest value? (a) n (b) 2 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137021.02*-0.2.\nAnswer: 27404.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 40 + 0*s**2 + 242. Let p be u(0). Let c = 803 - p. Is c 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, -1\/2, 5\/4, 602?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5818 - 5814. Which is the fourth biggest value? (a) 2\/11 (b) 1 (c) 2\/5 (d) 9 (e) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2249 = 917. Calculate the greatest common divisor of y and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-12)\/b))**(2\/125)*(b**(1\/22)*b)\/(b\/b**16) assuming b is positive.\nAnswer: b**(44741\/2750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 261, -2003, -9303, -24159, -49091, -86619?\nAnswer: -139263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12210202012 (base 3) in base 13?\nAnswer: 4001c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 25. What is the remainder when 17 is divided by r(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25 + 1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*h - 33*h - 12 = 0. Let b be -3*10\/54*(-18)\/45. Determine i so that 4\/9 - 2\/3*i + b*i**h = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.6 in 1, -0.8, 0.4, 4\/3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**4\/12 - 484*t**2. Let o(y) = -106*y**2. Calculate o(m(n)).\nAnswer: -424*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*k + k. Let w(u) = 3*u - 6. Let f(p) = 2*p - 5. Let m(b) = -4*f(b) + 3*w(b). Let t be m(k). Solve -4*g + t*g - 13 = -4*z, 4*z - 16 = -4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 1673 - 1675 - 1672 + 5011. Calculate x(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -1\/2*x**2 + 1 + 3*x. Suppose 0 = 191*r - 196*r. Determine n(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**2\/5 - 43103562*i\/5 - 154826421423987\/5 = 0 for i.\nAnswer: -7183927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 6*z - 3. Let j be t(7). Let g(b) = -b + 7. Let a be g(j). Solve d - 11 = -0*d - a*x, -1 = 5*d + x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/(-15))\/((-2)\/18))\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 7\/5 (b) -1\/2 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.061493 take away 6.8?\nAnswer: -6.738507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(2 + 2*g**3 - 2) + (9*g + 5*g**3 - 9*g)*(1 - 4 + 5).\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8428 times 0.3\nAnswer: 2528.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77961 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 958909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6846, 7102, 7368, 7650, 7954?\nAnswer: 8286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 872*l + 23 - 23.\nAnswer: 872*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, 52\/7, 0.1, 0.07, 1\/2, 2\/7?\nAnswer: 52\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3\/4 + 13451*g**2\/4 - 45239075*g\/4 + 45225625\/4 = 0. Calculate g.\nAnswer: 1, 6725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2628110749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-4) - (6 - 200\/32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o**2 - 16. Let f(z) = -z**2 - 3. Let s(x) = -16*f(x) + 3*u(x). Let p(t) = -20*t. Determine p(s(b)).\nAnswer: 40*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 1. Let p(r) = -12*r + 2. What is -p(m) + y(m)?\nAnswer: 11*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 7*y + 33. Let l be ((-33)\/(-6) - 7)\/(1\/10). Let u be t(l). Let k = u - -74. Solve m = -k + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2135\/(-21) - (1169\/167 - (-35)\/(-3))?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -498 - -498. Solve -f + 2 + 2 = r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2 = -0*n. Find the common denominator of (1\/(-5))\/(n\/205) and 19\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s - 25 = 0. Let v = s + -2. Let r = -39 + 66. What is the greatest common factor of r and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/23*((-5)\/13)\/((-24)\/(-24)).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 1, j: 1, t: 1, s: 1, f: 2}. Give prob of sequence fjs.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*d**2 + 19 - 19.\nAnswer: -19*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/sqrt(7) - sqrt(108)*-1)**2 + (sqrt(108) - -1*sqrt(108)*1 - (sqrt(108) + (sqrt(108) - ((sqrt(108) + 2)*-2 + sqrt(108)))**2)).\nAnswer: -90*sqrt(3) - 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**3\/3 - 11*k**2\/2 + 9*k - 5. Let s be h(-12). Let f be 3\/(-12)*(3 + -1). What is the third biggest value in s, 0.5, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**1)\/i)\/(i\/i**(-33))*(i**(1\/2)*i*i*i)**10)**14 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-25)*-2*(-14)\/(-12).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**2 + 1767*q + 3546 = 0. What is q?\nAnswer: -2, 591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyoyyyyyoooooyyyyrr. What is prob of picking 1 o and 1 y?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvpvsp. What is prob of sequence vspv?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 51 = 3*r, 3*r + 4*m - 17 = 2*r. Suppose 0 = s - 2*s + r. Suppose z + s + 283 = 0. What is z rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 0 - ((11 - (22 + -69)) + -13)) + 6?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 888 and 84?\nAnswer: 6216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 13*s**3. Calculate b(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 8 + 4*y - 18.\nAnswer: y - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - 46. Let y = 34 + u. Let o = y - -22. Put o, -4, -3\/7 in decreasing order.\nAnswer: o, -3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 30, 5 in descending order.\nAnswer: 30, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 6*l - 1. Let j be m(8). Let q(r) = -r**2 + 15*r - j*r. Let f(x) = 3*x**2. Calculate q(f(k)).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2460 - 116 - 1545 - 2605 - 164)*(5*x**3 + 0 + 0) in the form s*x**3 + j*x**2 + u*x + p and give s.\nAnswer: -34450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2 = -l + 6, 0 = 3*l - 12. Let y(b) = -2*b**3 + b**3 - 3*b**2 - b**3. Calculate y(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*m = -32*m - 1128 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(432) + 1 + sqrt(432) + 2 + -4*(sqrt(432) + (sqrt(432) - (1 + sqrt(432))))))**2 - (-3*(2 + sqrt(192))*-2)**2*-3.\nAnswer: 2112*sqrt(3) + 28276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 11:33 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.697? (a) 1\/5 (b) 3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 6*z - 31. Calculate the highest common factor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**2 + 138540*x - 277096 = 0.\nAnswer: -34637, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 95549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 906 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 3*r + 4*r)*(1 - 1 + r) + 5*r + 7*r**2 - 11*r + 4*r**2.\nAnswer: 14*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -142*r**2 + 4*r - 1. Let i be a(-1). Let s = 380 + i. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -7*l - 5. Suppose 25271 = 2*g - 3*i - 2408, -g + l*i = -13838. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3508*b - 131972 = -44272 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -11*a + 28. Let w be -4 + 833\/a*(-1)\/(-14). Sort -4\/3, w, -21\/8, 2 in descending order.\nAnswer: 2, w, -4\/3, -21\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 5 + (0 - 2 + 0)*(0 - 3 + 1) - 4 + 0 - 1)*(11 + 19 - 5)*(-2*k**3 + 2*k**3 - 6*k**5).\nAnswer: 1200*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v = -52099 - 175709. List the prime factors of v.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(128) - 3*-1*sqrt(128)).\nAnswer: 4 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 2)*(5*f - 7*f - 8*f)*(4*f - 3*f + 2*f) + 2*f**2 - 20*f**2 + 4*f**2 to h*f**2 + w*f + c and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*-9*(-11)\/99. Solve 3*c + 22 = -u*x, -5*c - 23*x = -18*x + 30 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1517 and -11.\nAnswer: 16687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 681753928 a multiple of 421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 574 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*t - 137*t - 16 = 0. Sort t, 2, 5, 7 in ascending order.\nAnswer: t, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-3)\/7)*(-26)\/(1820\/30).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 28. Suppose -4 = x, 4*a = 2*x + 3*x + 256. Let y = -38 + a. Calculate the remainder when y is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 298755, 298700, 298645, 298590, 298535?\nAnswer: 298480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -5 - (-76 + 57 + 22 + 2)) + 98.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 223 + 40736?\nAnswer: 41060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u + 1. Let j be (-2 - 0)\/(u\/(-1)). Solve -1 = f - j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 431 - 465. Let j be 30\/180*(-24)\/h. Which is the closest to -2\/3? (a) j (b) 0.19 (c) -0.4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131 - 30. Let f(v) = v**3 + 6*v**2 - 16*v + 26. What is the remainder when r is divided by f(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 x when three letters picked without replacement from mlxlmmxlmllmx.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1180 + 1180. Solve 2*f + 238 - 238 = o for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(420) + (sqrt(420)*-3 - sqrt(420))*1)\/sqrt(12))\/(1*(sqrt(315)\/sqrt(5))\/sqrt(9))*-3)**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b. Let z(y) = 11047328*y**2. Give z(o(f)).\nAnswer: 44189312*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = 2. Let v(z) = 3*z**2 + z**2 - 7*z**c - z**2 - 5. Let g(k) = -59 + 22 + 16 - 2*k + 21. What is v(g(m))?\nAnswer: -16*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038103987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -435 - -435. Put t, 75, 1\/5 in ascending order.\nAnswer: t, 1\/5, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.071 - -0.253. Round i to 2 dps.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(9\/6 + -1)*105\/63?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (252\/(9\/(-3)))\/(-11 - -9). What is the second derivative of 25 + 0*f - 45*f**4 + 18*f**4 + 2*f + 2*f**2 - b*f**4 - f wrt f?\nAnswer: -828*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -0*x + 7*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -5, -3\/5, 246?\nAnswer: 246","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -2\/3, -3\/19, -39, 5, 4 in increasing order.\nAnswer: -39, -2\/3, -3\/19, -1\/8, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 113219199 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 6, 0 = -3*l + 5*u - 19 - 16. Is -15 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8875 and 31950?\nAnswer: 159750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1043 - 299. What is the common denominator of 2\/(-8) - 161\/20 and (-2)\/(-9) + q\/(-108)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*o**4*s - o**4 + 2*o**3*s + 71*o**2*s + 2*o**2 wrt o.\nAnswer: 240*o*s - 24*o + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (5280\/3300)\/((-84)\/(-10))\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 446424 - 42?\nAnswer: 446352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -571385, -1142718, -1714057, -2285402, -2856753, -3428110, -3999473?\nAnswer: -4570842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {v: 1, z: 2, x: 3, e: 13}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 13, 60, 14, -1 in decreasing order.\nAnswer: 60, 14, 13, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6443500277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from {i: 4, q: 1, l: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (0 - 1 - -38). Let c = -9 + s. Let x be 8\/c + (-70)\/(-22). Solve -x*o + 1 + 2 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - 3*f + 0*f)*(-39*f + 14*f + 14*f + (4 - 3 - 3)*(-f + 0*f - 2*f)) as k*f**2 + c*f + p and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -232 - -235. Solve 5*o + d*i + 3 = 0, -4*o - 4*i + 0*i - 4 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 70*u**2 + 8*u + 8. Let v(f) = 44*f**2 + 5*f + 5. Let r(l) = 5*q(l) - 8*v(l). Let p(a) = -6172*a. What is p(r(x))?\nAnswer: 12344*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*n**3 + 107*n**3 - 212*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-27) + (191\/360*6 - 2)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1128, -1137, -1148, -1161?\nAnswer: -1176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1197.881724 take away 23664?\nAnswer: -24861.881724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1032?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -9929924.8.\nAnswer: -3971969.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**4\/24 - t**3\/6 - 56*t**2. Suppose -4*n - 5 = -17. Suppose -2*r - 24 = n*m + r, -16 = 3*m + r. What is w(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 5, z: 8}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905 is divided by 129.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -320\/40231?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*u + 254*u + 605*u - 13276 + 57691 = 0 for u.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3166133?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/44 and -1\/44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*(-1722)\/(-164).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**1*f)**(-13\/5)*((f*f**(1\/15))\/f)\/(f*f**12) assuming f is positive.\nAnswer: f**(-311\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s + 27*s + 33*s + 26*s - 104*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, v: 4, e: 4, n: 6, g: 3, p: 1}. What is prob of picking 1 e and 1 v?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-14)\/y)\/(y*y**(-18)*y) assuming y is positive.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64944 and 43296?\nAnswer: 129888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3144 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 150 = 4*v. Solve 10 = 5*s - v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 9.3?\nAnswer: 9.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2850.361 + -2852. Let n = 1.7 + s. Round n to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-12) - 1075\/(-860). Let d be ((-4)\/(-10))\/((-1)\/(-25)). Sort -4, 4, v, d in increasing order.\nAnswer: -4, v, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 794 by 2.\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0388 - -222.9612. Let i = r + -225. Put i, 4\/7, 25 in increasing order.\nAnswer: i, 4\/7, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-13 - 2*b + 12 - 1).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 132, -14, -3, 1, 876, -5 in descending order.\nAnswer: 876, 132, 1, -3, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**3 + 7*c**2 + 14*c - 1. Let y(p) = -10*p**3 - 20*p**2 - 44*p + 3. Let d(w) = -7*s(w) - 2*y(w). Determine d(-7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (10 - (16 - (-36 + 2))).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -62 + 90 + -10.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 266, -28\/13, -1\/3?\nAnswer: -28\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*m - 4*q, m + q - 4 = -2*m. Suppose -3*f = -3*x + 12, 0 = -0*x + 2*x + 5*f + 6. Is 58*(m + 1\/x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*x**3 + 71*x**2 - 43273*x wrt x.\nAnswer: 162*x + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 3396*j - 13590. Give a(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 77 + 567 = 0. Suppose 5*p + 4*s = -z, 2*p + s = -3*s - 40. Let j be p\/(-25) - (-84)\/15. Solve 0*y + j = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 4*v + 2*a - 55, 3*v = -a + 5459 - 5426 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230876 - 3*y - 230876.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2913 divided by -971\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -143, -145?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 86 divided by 678\nAnswer: 43\/339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*k + 144 = -2*t, 20 = -5*k. Suppose 4*d = 2*v + 146, -6*d + d + 2*v + 183 = 0. Let y = t + d. Solve 1 - y = 4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**3*x + 27*b**3 - 25*b**2*x**3 - 3*b*x**3 - 3 with respect to x.\nAnswer: b**3 - 75*b**2*x**2 - 9*b*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -3*q + 3\/4*q**3 + 1\/720*q**6 - 1\/120*q**5 - q**2 + 0 - 1\/16*q**4. Factor k(n).\nAnswer: (n - 3)**2*(n + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(3\/13))\/i)\/i*i**(8\/3)*(i*i*i\/i**(-2\/5)*i*i)**5 assuming i is positive.\nAnswer: i**(1127\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 8 = 4*t. Let q = 2 - t. Suppose -3*y = -q*y. Which is greater: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3. Let g(x) = x**3 + 3*x**2 - 6*x - 5. Let y = 12 + -16. Let q be g(y). Let m(v) = v**3 - 3. Calculate q*m(n) + 3*s(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4271585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x + 11. Let p = x - 9. Solve 0 = -n - 3 - 2, -11 = -p*d + n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -3 - -9) + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -33. Let y = i + -4. Solve 0*x + 20 = y*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3 - 48702*g + 24361*g + 24363*g + 2*g**3 - 14*g**2. Give t(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 2*j - 1. Give t(-6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127 + -1. Let h = 777 + r. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -632*t**2 - 11*t**4 - 385*t**2 - 474*t**2 - 14*t**3 + 514*t**2 wrt t?\nAnswer: -264*t - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a**2 - 21*a - 36. Let v(m) = -3*m - 4. Let f be v(0). Let q(i) = -4*i**2 - 20*i - 36. Let p(h) = f*w(h) + 6*q(h). Factor p(n).\nAnswer: -4*(n + 3)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1268 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**5\/5 - 27*v**4\/5 + 39*v**3\/5 + 27*v**2\/5 - 42*v\/5 = 0. Calculate v.\nAnswer: -1, 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 108 = -4*i, 4*i = -0*z - 3*z + 80. What is the highest common divisor of z and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 221355584?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 1147126.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*i = -8207, 5*w = -2*i - 11244 + 31718. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Suppose -s*n = 5*d, -4*n - 8 = 12. Suppose -2*q - 3191 = -4*g + q, -4*q = -d*g + 1588. What is g rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.0436.\nAnswer: -0.01308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v. Let b(t) = -48*t + 3. Let o(r) = 18*r - 1. Let n(z) = 4*b(z) + 11*o(z). Give n(q(h)).\nAnswer: -18*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17214 and 4001802.\nAnswer: 76034238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1392 and 638.\nAnswer: 15312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -749, 1, 2, 4.\nAnswer: -749, -2, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -13, 1\/787, 5?\nAnswer: 1\/787","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -300*j**3 + 1078103*j**2*n - 2*j - 149505225*n wrt j.\nAnswer: -1800*j + 2156206*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 14*b + 5. Let y(p) = -14*p - 1. Give 6*t(g) + 7*y(g).\nAnswer: -14*g + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*i - 3 + 5 = 359*i - 29, -i = -p + 29 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*u = -1683 + 5703 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (2 - 15) + 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1537554*t*w - 100514444*t + 13*w wrt w?\nAnswer: 1537554*t + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 191104 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k + k)*(27911 - 13958 - 221*k - 278*k - 13957)*(-5 + 5 + 8*k).\nAnswer: -7984*k**3 - 64*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s - s = 113245. Suppose 6*p - s - 3955 = 0. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/9)*q\/(q*q**(-4)*q)*(q\/(q*q*q*q**(2\/3)))\/q**(-6))\/((q*q\/(q\/((q\/(q**(-2\/21)\/q)*q)\/q)))\/q**(3\/4)*(q\/q**7)\/(q*q**6*q)) assuming q is positive.\nAnswer: q**(4477\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1115 = 61*n - 62*n. Suppose -n = 5*j - 3685. Let p = -12853\/25 + j. Which is bigger: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**3 - 520420*w**2 + 8325756*w - 7805340 = 0.\nAnswer: 1, 15, 130089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 5*l - 20 = 0, 50 + 410 = 5*c - 55*l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 - 11. Suppose -5*h + 0*h + 10 = 0. Let q(t) = t - 5*t**2 - 1 + 0 + 4*t**h + 0*t**2. Let n(j) = -q(j) - y(j). Give n(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 175, 299, 409, 499, 563, 595, 589?\n\"Answer: -v**3 - v**2 + 134*v + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 251 = -239. Suppose 303*q = 296*q - j. Let g(a) = -a**2 - 8*a - 6. What is g(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/11 (b) 35 (c) 1 (d) 4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.209 - 2.209. What is the closest to -2 in 0.9, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p = o - 6, -3*o + 17 = -5*p. Suppose o*t + t - 9655 = 0. Suppose 3*a - t = 5119. Round a to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*c - 105, 3*c = -16 + 4. Suppose 0*h = 2*j + h - 59, -4*h + 47 = j. Suppose -a + j = -4*f. Solve -q - 4*l + 9 = 0, -4*q = 5*l - f - 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + sqrt(605))*6*-4 + sqrt(605)*1*3 + 0 + sqrt(605) + 1 + 4)**2.\nAnswer: 315656*sqrt(5) + 2842041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3753)\/(-10008) - (422\/16 + 2).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 7*w - 3. Let p be 3 - 14\/(-1) - 2. Let f = 4 + 0. Suppose f*k = k + p. Calculate j(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/5, -1, 51, 3, -8\/137, 4?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 3*q**2 - 6*q + 8. Let h be f(4). Suppose 4*n - 20 = h, -2*a = 3*n - 31 + 6. Solve l + 5*s + 22 = 0, -2*l + 0*l - a*s - 19 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*(f*f*f\/(f\/(f*f**(2\/3)))*f)\/f)**(10\/9)\/(f**(-2\/7)\/(f*(f\/((f*(f**(-3\/7)*f)\/f*f*f)\/f))\/f)))**(2\/95) assuming f is positive.\nAnswer: f**(2692\/17955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4 + 8, q + z - 2 = 0. Suppose -79*u + 75*u + 32 = q. Solve 13*c = 11*c - u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40511087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (779*a**2 - 201*a**2 - 201*a**2)*(-7*a**3 - 4*a + 4*a).\nAnswer: -2639*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 3 (c) 107 (d) -5 (e) -127\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 46498274 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2424255000 to the nearest 1000000.\nAnswer: 2424000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2*743\nAnswer: -1486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 8, -4*y + 24*s + 3*s - 200 = 11*s for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 8*g**2 - 6*g - 6. Let h be i(7). Suppose -7 - h = -4*l. Let n(b) = b - 6. Let t be n(10). Solve -l = -v + t*r, 5*v + r + 13 = -2*r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 871860 to the power of 1\/2, to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmquqvuuvuuuqu. What is prob of sequence mq?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54696.2 * -110.\nAnswer: -6016582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmhhhhhhmh. What is prob of picking 2 h?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + -4)*(-4)\/1. Let v(f) = -f**3 - 4*f**2 + f + 4. Let w be v(r). Solve 0*t + 2*t = w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-40 + (40 - 19))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - c)*(3*c**3 + 0*c**3 - 2*c**3) + 3*c**3 - 2*c**4 - 3*c**3 + 4*c - 1147*c**2 + 1147*c**2 - 3*c**4.\nAnswer: -6*c**4 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 != 31090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 0.4 (c) -395\/8 (d) 21 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(56\/4))\/(3\/48)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*b - 180, 0*b - 4*b + 79 = 3*s. Suppose 3*j - 6*j - 87 = -4*z, -s = -2*z + 5*j. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23.7 + 38. Let b = p - 14.23. Sort 5, -15, b.\nAnswer: -15, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and ((-1764)\/(-105))\/((-3)\/(-15))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from viyvvvijv?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 22\/(-88)*(1 + -1). Is 1\/2130 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3368 * -2352\nAnswer: 792.1536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21429827 rounded to 3 decimal places?\nAnswer: -0.214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 27*y**4\/7 - 411*y**3\/7 + 990*y**2\/7 + 108*y\/7 - 1320\/7 = 0.\nAnswer: -1, 2, 110\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 - 16*v - 99. Let f be o(9). Solve -y + 3 = -f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -2 + 5 - (1 - (-4 + 5))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -33*l + 1083. Calculate v(28).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -14 - (-2 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dccccdccdmrc. Give prob of sequence dc.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.36 + -0.14. Let z = k - 3.5. Which is the closest to 2\/3? (a) z (b) 1 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/8340 and 2091\/(-68)*(4\/(-5))\/2.\nAnswer: 8340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 3*g - 6 = 10, 5*j - 5*g - 40 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**4 - 5*i**4 + 4*i**4)*(1 + 14 + 12) - 3*i**4 + 4*i**4 + i**4 - 2*i**4 + i**3 - i**3.\nAnswer: 54*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/18143 or 1?\nAnswer: 2\/18143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1014152948.\nAnswer: 2, 253538237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + x**2 - x - 18. Let n = 105 + -300. Let r = 195 + n. Calculate t(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/3 - 4\/(-6). Let w be (0 + -1 + -2)\/x. Let g(z) = z**3 - 7*z**2 - 7*z - 10. Let u be g(8). Which is bigger: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -66, -32, 28, 120, 250?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 85 = -3*i. Calculate the lowest common multiple of 3 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c + 11*c**2 + 7*c**2 - 4*c - 8*c**2 in the form f*c + k + p*c**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**3\/3 - 20*y**2\/3 + 15*y + 60 = 0.\nAnswer: -4, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 213 - 113?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*(41832\/(-189) + 122) + -9?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j + 15*j + 65*j**3.\nAnswer: 65*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -7. Suppose -g + 2 = -2*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -515, -4 in decreasing order.\nAnswer: 2, -4, -515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.9 - 4. Let l = -0.8 + -0.2. Let o = -53\/4 + 13. Which is the nearest to o? (a) m (b) l (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1902b62 (base 12) to base 2\nAnswer: 10011111100111111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h + 26*h - 84 = 0. Solve -3*v + 3*z - 4*z = -19, -z - h = -5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.994 + 0.006. Let m be (-6)\/(-11) + 441\/99. What is the closest to z in m, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybbbyby. Give prob of sequence ybb.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**3 + 3*u**2\/2 + 10*u - 1. Suppose 62*w = 57*w + 2*l - 18, -4*w + 2*l - 14 = 0. Is p(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11718, 23716, 35714, 47712, 59710?\n\"Answer: 11998*l - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -12*i - 1. What is x(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1403 + -959. Calculate the remainder when (-165)\/66*q\/(-10) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -910.89547 to one dp.\nAnswer: -910.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2368*i + 9617. Is j(-179) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84 by 56.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3035903.02 to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -450 divided by -18.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-6))\/(-3 + 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 27954883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 (base 9) in base 13?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r + 0*r**4 - 66*r**2 + 96*r**2 + r**4 + (3*r**2 - 4*r**2 + 0*r**2)*(-2*r**2 - 3*r**2 + 2*r**2).\nAnswer: 4*r**4 + 30*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) -0.4 (b) -4 (c) -2 (d) -6 (e) -1447\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: -754 + 760 + (-1 - 26)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12067 and 257719.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4.7, 5, 2.4, 1\/11, 9\/2?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38 - 2*v**4 + 9014*v - 9022*v + 31*v**2 + 37 + (-3*v**2 + 0*v**2 + 4*v**2)*(-4*v**2 - 2*v**2 + 7*v**2).\nAnswer: -v**4 + 31*v**2 - 8*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11948754 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 108156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (10 - ((-5 - 7) + 3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2 + j**2 + 22 + 4*j**2 - 6*j**2 + 6*j. Let z = -219 + 227. Let s be y(z). Solve 0 = 6*r - 10*r + s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-34)\/(-17))\/(15\/(-17)))\/(-13*28\/(-1092)).\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2025 <= -2024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -23194b (base 12) to base 3\nAnswer: -1001121020012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 132504623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -43414 (base 5) in base 7?\nAnswer: -11462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*m + 3. Suppose -u - 17 = -j, 4*j + 2*u - m*u = 59. Suppose 0 = -d + j + 46. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(605) + -3 - sqrt(605))*-2.\nAnswer: 6 + 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 10*u**2 - 35*u - 105. What is z(4)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778881 is divided by 301.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 71 = 616. Suppose t*u = 226*u + 72. What is the lowest common multiple of u and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2591895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.3414577 rounded to 3 dps?\nAnswer: 20.341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1948757956 to three dps.\nAnswer: -0.195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 31*o**7\/120 - o**6\/360 + o**4\/24 - 5*o**3\/3 - 9. Let x(t) be the third derivative of y(t). Is x(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 178 and 81542.\nAnswer: 14514476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 + (2 - 0) - -18 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 + -297453?\nAnswer: -297467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.1804 less than -0.2?\nAnswer: -9.3804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2553609358.\nAnswer: 2, 47, 167, 162671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17032343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 a when two letters picked without replacement from basaabbabasabaaaba.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 33. What is the fourth biggest value in 2, -1, -0.5, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 667 - 5307 = -5*t. Find the third derivative of -t + 8*o**5 + 928 - 2*o**2 wrt o.\nAnswer: 480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496946 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 0.1, -5, -2, -10, -15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/2381 - -83287\/38096. Calculate the common denominator of b and ((-74)\/(-12))\/((-24)\/(-9)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -529, -4480, -15257, -36268, -70921?\n\"Answer: -568*a**3 - 5*a**2 + 40*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1433*u - 415*u + 43774 for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 1\/12*z**4 + 0*z + 0 + 0*z**3 + 3*z**2. Let w(v) be the second derivative of -5*v**3\/6 - v. Calculate s(w(b)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7380 + 7396. Solve 0 = -4*f - 4*h - 36 + t, 4*h = -5*f - 21 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 494 and 200707?\nAnswer: 7626866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -401352 (base 7) to base 3\nAnswer: -10102221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*o)*(-2*o**2 - o + o + 3).\nAnswer: -4*o**3 + 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**3\/4 - 43264*k**2 - 692237*k\/4 - 129795 = 0.\nAnswer: -3, -1, 173060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 373, 38, -7, 0.\nAnswer: -7, -3, 0, 38, 373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2391 and 89364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*n - r - 36, 2*n = r - 10. Let o(d) = -d + 2. Let h be o(n). Let t = 10 - h. Calculate the remainder when 5 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvuuuvuv. Give prob of picking 4 u.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -12, -31, -68, -129?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40748989?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 < 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -n - 276, -2*l + 268 = -n - l. Let r = -181 - n. Suppose -4*q + 3*o = -187, 3*o - 6*o - r = -2*q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2 + (4 + 3*sqrt(832) - sqrt(832)) + -6*2*sqrt(832) + 5)**2)*-5 + -1.\nAnswer: -416251 + 5600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = 5*j. Calculate the smallest common multiple of 52 and (4\/(-3))\/(j\/6).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 122244 and 5010?\nAnswer: 611220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from izzxmixmz. What is prob of picking 1 i and 3 z?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**4\/4 - 7*n**3\/4 - 3*n**2 + 25*n - 28 = 0.\nAnswer: -4, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 3. Let x be -1 + 1 - 3\/a. What is the second derivative of -3*y + x*y**3 - y**2 + y**2 wrt y?\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3816 + 3893. Let r = -15 + 22. Calculate the highest common factor of p and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -13*i - 1. Determine s(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - t - 14. Calculate the lowest common multiple of 14 and y(6).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777750 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-8))\/((-2)\/(-2)). Suppose y = 4*p + 5*j - 96, 0*p = 3*p - 4*j - 103. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 741.89 - 747. Let y = 0.11 + h. Let x = 1\/11 - 29\/77. What is the closest to 0 in y, x, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8827845 divided by 1105?\nAnswer: -7989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 89209620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20214*o - 27829 wrt o?\nAnswer: -20214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.12939mm in centimeters?\nAnswer: 7.012939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-4 + 4) - (-2 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 20*i - 72. What is the units digit of p(-33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584 + 740 = 260*u + 284 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from hvvhhzhvhzzzhzhv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzzzz. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 18\/5 of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -3) + -2 + 2. Let w(h) = 4*h**2. Let m be w(1). Suppose 2*i - 7 = -5*d, -6*d + 3*d = -4*i - 25. Solve b = -t + m*n, d*t = t - 4*n + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 + -61. Solve s + d = 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 35 - 139 = -4*f, -5*f + 33*j = -191 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 634 and 17254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 11:43 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110210 is divided by 1858.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.819 rounded to 0 dps?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 76819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, u: 1, b: 1, z: 1, h: 1, s: 1}. Give prob of sequence ubzs.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 132 = -6*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (252\/6)\/(-6) + 8. Put p, 5, 51 in ascending order.\nAnswer: p, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/380160 and 25\/4224.\nAnswer: 380160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -34. Solve w*b + 5*a + 5 = 0, 0 = b - 4*b + a - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b. Let v(d) = d + 10. Let j(c) = c + 11. Let w(p) = 4*j(p) - 3*v(p). What is r(w(t))?\nAnswer: -3*t - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 9*n**2 + 5*n + 13. Determine w(10).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -35*l + 5*l. Let v be (8\/(-1))\/(l\/9). What is the greatest common divisor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-7) + (-47580)\/(-2562).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t + 39. Determine s(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g + 1. Let q(n) = 4*n - 3. Let f(h) = -7*h + 7. Let a(y) = 2*f(y) + 5*q(y). Give -5*a(i) - 4*z(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k - 120 = 0. Solve -3*s = -2*y - 9, 8*s = -3*y + 5*s + k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -11*u**3 + 84*u**2 - 12*u + 23. Calculate r(8).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 156.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 12*u - 4 = 0. Let r = u - -2. Suppose -693 = -9*o - r*o. List the prime factors of o.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 - 40*j**3 - 2544*j**2 + 49320*j - 234900.\nAnswer: 4*(j - 15)**2*(j - 9)*(j + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.4 (b) -2\/3 (c) 5 (d) 191\/4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 903*s**2 - 391*s**2 - 299*s**2 - 38.\nAnswer: 213*s**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -413*t**2. Let a(o) = o. Give a(x(r)).\nAnswer: -413*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1173133*j**5*t - 5*j**4*t - j**2*t + 2176902*j - t wrt j.\nAnswer: 70387980*j**2*t - 120*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76155737 and 5838?\nAnswer: 456934422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*l**3 - 31*l - 20*l - l**2 + 49*l + (2*l - 3*l + 0*l)*(-5*l**2 + 3*l**2 + 4*l**2) - 4*l - 8*l**3 + 4*l to n*l**2 + i*l + o*l**3 + q and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16415010 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118868886.\nAnswer: 2, 3, 6603827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-348*y**2 + 532*y**2 - 282*y**2)*(3*y + y - 2*y).\nAnswer: -196*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -153 + 157. Suppose -x*d = -n - 5492, -d + 1373 = -0*d + 3*n. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8979\/47 - -191. Let v = -51\/94 - d. Let o = 53\/3 + -16. What is the smallest value in v, o, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/11 and 7\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (1 - -3) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 139393 and -4.\nAnswer: -557572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -570 - -579. Differentiate 13*o + 252 - 11*o - w*o**2 + 7*o**2 - 20*o with respect to o.\nAnswer: -4*o - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*d + 187*d - 65919. Solve 15*g = -58*g - d for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1306, -2488, -3656, -4804, -5926, -7016, -8068, -9076?\nAnswer: -10034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 - d**2 + 3*d - 2. What is w(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -27087, 3 in descending order.\nAnswer: 3, -3, -27087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 69477*v**2 + 347378*v - 9. Give b(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, -2\/5, 5, 184483 in decreasing order.\nAnswer: 184483, 5, 1.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 10, 32, 62?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1044 and 957.\nAnswer: 11484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43981 and -484.\nAnswer: 21286804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -2 + 3 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 369100 to the nearest 10000.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -74, -66, -28, 40?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6508*v + 19591. What is q(3)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1 + v + 3 + 0*v. Let h be n(2). Let o be 0 - (9 + -7)*-2. Calculate the highest common factor of o and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19.1 - -19. What is the closest to 3\/7 in -3, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/1 + 14\/(-7). Let a(r) = -r**2 - r + 21. Let h be a(m). Solve 3*q + h = -4*v + 2*q, q - 15 = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3694, -14791, -33286, -59179, -92470, -133159?\n\"Answer: -3699*c**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 110002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -13. Let y be (1 - s\/(-1))*9\/(-1). Solve 1 = 5*b - y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 1. Suppose -7*b = 16*b - 230. Suppose z - 10 = -2*y, z + 2*y = -z + b. Calculate m(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -356? (a) 0.4 (b) 5 (c) -372\/5 (d) -0.05 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -w - 4*x, 4*w - 11 = 5*x + 459. Suppose v + v = w. What is the greatest common factor of 15 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 12*n + 11. Let b be x(-13). Let i(k) = -k + 5. Let o be i(b). Let u = o - -14. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2250)\/585 + 56\/(-26) + 1 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.4, -48, 5, 185.\nAnswer: -48, -0.4, 0.2, 5, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-36)\/(-1) - (5 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002701 rounded to 5 dps?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -19*o + 71. Determine n(6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -14*q - 782. Determine r(-55).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 43*r - 24. Let j be w(5). Suppose -a + 65 = t, 3*a - 4*a - j = -3*t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 85*o**2 - 3*o + 8. List the prime factors of a(2).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-407)\/(-39) - 1) + (-142 - -133). Let m(d) be the third derivative of 0 + 0*d + 21\/65*d**5 - 27\/260*d**6 + y*d**4 + 8\/39*d**3 - 25*d**2. Factor m(x).\nAnswer: -2*(x - 2)*(9*x + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/9, 2, -11.6, 15\/41, -0.01, 4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4*(-1 - -9). Let f(p) = 3*p - 5. Let g be f(a). Let v(k) = k - 5. Let b be v(g). Solve -1 = d + b*s, -8 = -d + 3*s - 2*s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 191*s + 1969. Let n be o(-12). Round n to the nearest integer.\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 4:39 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/880 and -23\/320.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(32)*2)\/sqrt(8) - (sqrt(576)*-1 + sqrt(576)))\/((sqrt(40)\/sqrt(64))\/sqrt(5))*5)**2.\nAnswer: -6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 12 + 1011*h**2 + 48*h**2 in the form l + g*h**2 + z*h and give g.\nAnswer: 1059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11942\/(-3412))\/(28\/272).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and -3131107.\nAnswer: -281799.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l**2 + 2*l - 4. Let a(i) = 5*i**2 - i + 2. Determine 5*a(g) + 3*z(g).\nAnswer: -2*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2 = -3*y. Suppose 4*s - y*s = 2*w, 5*s = -3*w. Are w and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 768675 to the power of 1\/2, to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by -50.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7366773402 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -234 divided by -39\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-6)\/(-150)*(-2)\/(-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n**2 - 520*n + 155. What is v(74)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 25384?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0045655754 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1. Suppose 2*f + 44 = 5*z - 28, z + 2*f - 24 = 0. Suppose 0 = -4*u - 4 - z. Sort s, -4, u in decreasing order.\nAnswer: s, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(54\/(-1996))*15 - 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 4 - -9 - (13 - 7) - -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + 0 + 46 + -24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -245 (b) 0.06 (c) 2\/7 (d) -0.5 (e) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1644, -8307, -26286, -61239, -118824, -204699, -324522?\n\"Answer: -943*t**3 - 62*t - 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3725038 by -22.\nAnswer: 1862519\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (54 + -24 - 47 - ((-5 - -3) + -7)) + 9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10 + 9)\/(1\/(-5) - 0). Suppose 0*u + 2*u - 10 = -t*d, -3*u - d = -15. Suppose -u*h + 336 = 3*h. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**3*v**3 - 6*m**3*v**2 + 2*m**3*w**2 - 266*m**2*w**3 - 56570078*m*v**4*w**3 - m*v**2*w - 3*m wrt v?\nAnswer: -6*m**3 - 1357681872*m*v*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -278860\nAnswer: -2788600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1250, 4, -4, -1, 77\/10, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/69))**9 assuming l is positive.\nAnswer: l**(-6\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 4. Suppose -5*h - 26 = -y, -3*y - 3*h - 2 = -b. What is the highest common divisor of 9 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -980, -1977, -2976, -3977, -4980, -5985?\n\"Answer: -g**2 - 994*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 583 divide 11517748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (21 + 301\/(-14))\/(1\/(-36)). What is the greatest common factor of 122 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (25 + 9 + -14) - (-5 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 34\/(-153) + 56\/90. What is the closest to 1 in 3, 6, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0080366158 to 4 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 1314*g**2.\nAnswer: 2*g**2*(g - 657)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*m - 472 + 472)*(-12*m**2 + 8*m**2 + 10*m**2)*(0 + 6 - 2).\nAnswer: 504*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-2)\/(6\/57). Let z be 3\/(261\/84 - (-9)\/(-3)). Let p = z - m. Calculate the remainder when 30 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132310222333 (base 4) to base 6\nAnswer: 445103411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -aaa3?\nAnswer: -aaa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 - -120. Suppose 5*n - 8154 = -z*n. Is 301 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 600 times 0.3\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 772 - 775.97. Let r = 4 + q. Sort 0.5, -0.4, r in increasing order.\nAnswer: -0.4, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*g - 14 = 0, g = 5*s - 3*s - 6. Let 24*t - 12*t + 6*t**2 - 9 + 0*t**2 + 0*t**s + 3*t**4 - 12*t**3 = 0. Calculate t.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 104 + -99. Suppose w - a*r = -2*w + 334, 122 = w + r. Suppose -b + w = -0*b - 3*o, 5*b - 510 = -o. What are the prime factors of b?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20882, 83553, 188004, 334235, 522246, 752037, 1023608?\n\"Answer: 20890*l**2 + l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**3 + 12880*z**2 - 912875*z - 925750 = 0.\nAnswer: -2645, -1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, 144, 589, 1430, 2793, 4804?\nAnswer: 7589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -2*d - 3*j, 4*j = 2*d + 3*d - 258. Suppose -s + 378 = 3*m, -d = -m + 5*s + 92. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.36913um in millimeters?\nAnswer: 0.04036913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 0 (c) -0.2 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 (base 10) in base 16?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - (14\/(-2) - -4). Let z be (-1)\/((-4)\/(o + -4)). Let y = 64 - 36. Which is greater: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/3 + 8\/12*-3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/5 + -5 + 4 - -4. Let c be (-14)\/(-20) - j\/(-8). Factor -3\/5*a**3 + 7\/5*a + 3\/5*a**2 - 1\/5*a**4 - c.\nAnswer: -(a - 1)**2*(a + 2)*(a + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 42561 = -11*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 4. Let m be f(8). Let s(g) = -m*g**2 + 1 + 6*g**2 + 15*g**2. Let u be s(1). Solve 3 = 3*i + u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*x = 113*x - 7961 - 7231. Calculate the greatest common factor of 1308 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 22*d + 62. Determine y(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 15. Let g = s + 8. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1764\/(-35))\/6*-1125 - (-1 - -6).\nAnswer: 5, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6312?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -2231 and -153 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 28104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 12*d - 15. Let v be b(5). Calculate the highest common divisor of 90 and v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16156927 to the power of 1\/3, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1763336?\nAnswer: 2, 227, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 18*o - 19. Calculate s(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-1 - 0) - (-5 + 10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -6806*h**7\/7 + 364*h**3\/3 + 6725. What is the third derivative of n(a) wrt a?\nAnswer: -816720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(15)\/sqrt(5)))\/((sqrt(24) + sqrt(96) - sqrt(24))\/sqrt(8)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/23 in -5, -2\/5, -0.3, 3\/14, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmlhvhehvvivlvh. What is prob of sequence ml?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12718 + 13265. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**4 + 6*v**4 + 65 - 56 + (v**3 - 2*v**3 - v**3)*(-v - v + 4*v) - 2*v**4 - v**4 + 0*v**4 to the form k*v**4 + h + y*v**3 + m*v**2 + f*v and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33213 (base 4) to base 5.\nAnswer: -12444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 68138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7057204 (base 9) to base 4.\nAnswer: -32111201101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 251222, 5.4, -9 in decreasing order.\nAnswer: 251222, 5.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojjoojojjojjoo. What is prob of picking 2 o and 1 j?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 = -10*u + 900. Let q = u - 50. Let x(y) = -6*y + q*y + 7*y. Let b(v) = 2*v**2. Calculate b(x(s)).\nAnswer: 98*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 15 = 10. Let q(n) = 24*n**2 - 5*n + 3. What are the prime factors of q(u)?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -739, -2669, -6525, -12973, -22679?\nAnswer: -36309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 260\/9 - 2\/9*b**2 - 14*b.\nAnswer: -2*(b - 2)*(b + 65)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -180*r**2 + 13*r + 2. Suppose 4*q + 24 = 8. Let b be f(q). Round b to the nearest one hundred.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 182779 divided by 80\nAnswer: 182779\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86\/2838*1221 - (-1 - -103).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 16. Let b be 196\/35 + 4\/y. Suppose -6 = -b*j + 12. Calculate the greatest common divisor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -20*g. Let h(u) = -u + 117. Determine h(f(x)).\nAnswer: 20*x + 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 285 - 132. Suppose 2*r - 5*m = 336, -2*r + r - 5*m = -i. Suppose -4*n - 2*g = g - r, -2*n = -5*g - 75. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/216*-1*3\/(-5). Let t = -539\/6 + 89. Put v, -0.3, t in ascending order.\nAnswer: t, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d + 5. Let w be p(5). What is the third derivative of 21*l**2 + w*l**4 - 38*l**4 + 39*l**4 + 9*l**4 wrt l?\nAnswer: 600*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*t - 11*t**2 + 82*t + (-2*t - 4*t + 4*t)*(t + 2*t - 2*t) to the form i*t**2 + f + k*t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccuu when four letters picked without replacement from {c: 8, u: 5, b: 5}.\nAnswer: 7\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -395.9*-3\nAnswer: 1187.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -ba61a1 (base 12) in base 3?\nAnswer: -12120010200211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -414111421 (base 5) to base 8.\nAnswer: -6406147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32599 is divided by 2075?\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from ggggguuguug.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -815*x**2. Let j(o) = -3*o**2. What is j(i(w))?\nAnswer: -1992675*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + 0.1. Let j be (-23230)\/(-150) - (-2)\/(-10). Let g = j - 156. What is the biggest value in -0.2, g, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.46 (b) 6 (c) -0.05 (d) 3\/7 (e) 2.3 (f) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -5*q**2 - 5*q + 10 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19468 or -23733?\nAnswer: -19468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*u - 6 = 85*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11\/2 - -7. What is the smallest value in -8, u, -4, 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 23 = 5. Let k be 15\/x*72\/(-30). What is the highest common divisor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**3 - 2*j**2 + j + 2. Let x = -1218 + 1220. Let y(u) = -u**2 - 1. Give x*y(m) - d(m).\nAnswer: -4*m**3 - m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 p when three letters picked without replacement from {l: 7, f: 6, p: 2}?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 10. What is the highest common factor of j and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 617527243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15123426 (base 7) to base 6\nAnswer: -50425510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -1\/4*h**4 - 4\/3*h**3 + 5*h + h**2 - 5. Let p = -31 + 27. Determine s(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 191884 and 1764?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 15 - 15)*(1 + 2 - 2)*(-2*w**2 + 0*w + 0*w + (-w - 4*w + 4*w)*(3*w - 4*w + 3*w) + 0*w**2 + 2*w**2 - 4*w**2).\nAnswer: 18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -916380 to the nearest 10000.\nAnswer: -920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54337 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1257971 and 715.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16237\/117 + (-2)\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ks when two letters picked without replacement from sjk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.8 in -5, 4\/3, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13532.19 minus 0.3?\nAnswer: -13532.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 2605166?\nAnswer: 2605172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(832) + -1) - sqrt(832)) + sqrt(832) + 0 + -3)**2*1.\nAnswer: -448*sqrt(13) + 13361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -751, -814, -877, -940, -1003?\n\"Answer: -63*d - 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/46 or -2?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -628 = 2*b - 39*b - 1183 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 33. Suppose 3*c - x = -6 + 3, 5*c = -2*x + 6. Suppose -f = 5, c = 5*z - 4*z - 5*f - 45. What is the lowest common multiple of z and n?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*d**3 + 14*d**3 + 0*d**3 + 188.\nAnswer: -d**3 + 188","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 17*c**3 + 2*c - 16*c**3 + 5 - 9 + 5*c**2. Let y(r) = 3*r + 2. Let m be y(-2). Let d be n(m). Solve 3*z + d = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**2 + 4*b - 2. Let q(o) = -o**3 - 13*o**2 - 2. Let w be q(-13). Calculate the remainder when 40 is divided by z(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*v**4 - 416*v**2 - 13037*v + 3?\nAnswer: 312*v**2 - 832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1822*t**3 + 360 wrt t.\nAnswer: 5466*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450*y**3 + 2364*y**3 - 456*y**3 - 461*y**3 - 544*y**3 - 455*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26652721?\nAnswer: 193, 197, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5738689*i - 3396767?\nAnswer: 5738689","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**4\/3 + 11*z**2. Let k(y) = 39360 + 0*y + 0*y + 2*y - 39360. Give k(p(f)).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 540 - 3778\/7. Are 118 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 973529 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -2*a**2 + 4*a + 1. Let b be (-3)\/(-6) - 13\/(-2). Let y = 11 - b. Give m(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 6. Suppose 0 = -a*s + 24*s + 1330. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from {e: 10, x: 10}?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 109693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4043163*v**3 - 2*v**2 - 2*v + 17160556.\nAnswer: -12129489*v**2 - 4*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4 = -3*u - 0*u, 2*d + 5*u + 6 = 0. Let z be 8 - (8 + -3 - d). Solve 5*f - 5*w = z, 5*f + 0*w + 3*w - 21 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 450702147*j**3\/4 - 425012051079*j**2\/2 - 69350103*j - 5658 = 0. What is j?\nAnswer: -2\/12257, 1886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -6. Suppose -5*b + 4 = -31. Suppose -2 - b = -3*p. Sort c, p, -5 in descending order.\nAnswer: p, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 42344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*p + 1 - 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2. Suppose -5*r - 2*a + 225 = 0, 76 = 2*r + a - 3*a. Let k(s) = -r + 43 + 2*s. What is k(d(f))?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -217 or -60849?\nAnswer: -217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 758171987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 10:32 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - c**2 + 1. Let y be r(-1). Let o be (-9 - 1)\/(y\/(-1) - 1). Solve o*x = -0*x + 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 830*c - 34445.\nAnswer: -5*(c + 83)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27090 is divided by 3374.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/2 + 1813*p + 18180 = 0. What is p?\nAnswer: -10, 3636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 12:16 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b4 + -4?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01 and -126.\nAnswer: -125.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 7*u**2 - 2. Let h(k) = 9*k - 49. Let w be h(6). Let t(r) = -14*r**2 + 5. Determine w*o(x) + 2*t(x).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikikkkkbbkkb. Give prob of sequence bib.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2\/3, 4\/9, -1\/6 in decreasing order.\nAnswer: 4\/9, -1\/6, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252633 by -5.\nAnswer: -252633\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*k**5 - 40*k**4 + 11636*k?\nAnswer: -100*k**3 - 480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -9. Suppose a*i + 7 = 4*i. Calculate the remainder when i is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*b**2 + 6*b**2 + 6*b**2 + 5 - 2 - 2*b**3 + b + 19*b**2 as y*b**3 + i + r*b + z*b**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g + 634 = 39*g - 4*m, 8*m = -8. Calculate the greatest common divisor of g and 546.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 148 = 3*c. Is c\/(2 + 0 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-54)*(-3)\/2*564\/235*15.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 144\/(-406) + (-30)\/(-435). Put -4, i, 11 in decreasing order.\nAnswer: 11, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -25345?\nAnswer: -25341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-12))\/(2\/12). Let p = 9 + x. Which is the third biggest value? (a) p (b) -0.1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from ooixxxiiixxiii.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2029.2 (c) 2\/9 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -236*k**2 + 91*k + 465*k**2 - 249*k**2 to y*k + x*k**2 + t and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40.4693 + -0.4493. Let m = 40 - z. Which is the nearest to -2? (a) 0 (b) m (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3797238 times 0.2?\nAnswer: 759447.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmhmhhhmmhmmmmm. Give prob of sequence mhmh.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10401?\nAnswer: 3, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**3 - 950*m**2 - 48255*m - 292950 = 0. What is m?\nAnswer: -93, -90, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**2*p + 4777*b**2 + 2446082*p + 139 wrt p?\nAnswer: 2*b**2 + 2446082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.136 and 1.483.\nAnswer: -1.684688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hzhhzzhzhzhhzzazzzh.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (((-750)\/(-2850))\/(130\/4))\/(4\/13)\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1320915 and 4567650.\nAnswer: 488738550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 176904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-13 - -6) + 2*127. Let i(f) = 254 - 4*f - j. Let u(y) = -2*y. Let h(m) = -7*m. Let x(o) = -6*h(o) + 22*u(o). What is x(i(d))?\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 15. Suppose 27 + 81 = 6*v. Give s(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 19.19.\nAnswer: 19.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 5*o - 807*o**2 + 7 - 5 - 7*o - 7*o.\nAnswer: -807*o**2 - 10*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1369 divided by -1\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 1f924c?\nAnswer: 1f9248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5774367*w**4 + 14*w**2 - 2286*w + 30.\nAnswer: 138584808*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h - 4 = 0. Suppose 2*u + h*u + 32 = 0. Let a(c) = 20*c**2 - c + 2. Let z be a(u). What is z rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/9*(-2 + 5)*-6. Solve k + f = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 61\/2*a**2 - 46*a + 14. What is the first derivative of n(f) wrt f?\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-3)*3 + 83. Suppose 17 - b = t. Let n = t + 164. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - 10.1. Let b = -24 - g. What is the closest to b in -2\/9, 1, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-164*198\/3600 + 9)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -864*a = -881*a + 34 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0659 + -0.344. Let l = -0.2782117 - g. What is l rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36750737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 - 10216*a\/5 + 20492218\/5.\nAnswer: -2*(a - 1541)*(a + 6649)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -2, 948 in increasing order.\nAnswer: -18, -2, 948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 608 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -756*p - 67. Calculate z(-3).\nAnswer: 2201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(-2\/3)*x*x)*x*x\/x**(-12\/13)*(x**(-10)\/x)**5 assuming x is positive.\nAnswer: x**(-2044\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 14*r - 12. Let k be w(6). What is the highest common factor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-316)\/3002 + (-7)\/114)\/(3\/30)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48553488?\nAnswer: 2, 3, 173, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*(d*d**(-3))\/d)\/d*d)**(-2)\/(d*d\/(d\/d**4)*d*d*d)**(-5))**46)**(2\/5) assuming d is positive.\nAnswer: d**(4048\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450) + sqrt(450) + -1 - ((sqrt(2592) - (2 + sqrt(2592))) + sqrt(18)) - ((-2*sqrt(24))\/sqrt(12) + 5*sqrt(200)))*5.\nAnswer: -105*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76553?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 2\/(42\/9). Let l = 19\/21 + m. Are l and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 42, 81, 126, 171?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 2*n - 3. Let i = -4 + 8. Let t(s) be the second derivative of 1\/2*s**3 + 1\/6*s**4 - 2*s**2 - 3*s + 0. Give i*q(r) - 3*t(r).\nAnswer: 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 15 = 2*b. Find the third derivative of 2*i**5 - 2*i**3 - 5*i**b + 2*i**3 - 3*i**2 wrt i.\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 10221 = 3*z, 4*z - 56*f = -52*f + 13612. What is the thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97204, 194406, 291608, 388810, 486012, 583214?\nAnswer: 680416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - c + 118, 21 = 3*u + c - 67. What is the remainder when 45 is divided by 5\/3*216\/u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.62082us in nanoseconds?\nAnswer: 9620.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*t + 77. Suppose 3*u - 21 = -6. Suppose -u*x = -193 + t. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 33*i - 58. Let a be j(-35). Suppose f + 91 = -a*f. Let n(d) = -2 - 3*d**3 - 3*d**3 + 3*d**3. Let g(w) = 5*w**3 + 4. Determine f*n(l) - 4*g(l).\nAnswer: l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 191488000*u + 2291728384000000.\nAnswer: 4*(u - 23936000)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3557 + 4467. Calculate the highest common divisor of c and 1300.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 5 = -2*q - 9*d, -q - 5*d = 25. Let y(p) be the second derivative of -36\/11*p**2 - 1\/66*p**4 + 4\/11*p**3 - p + q. Factor y(s).\nAnswer: -2*(s - 6)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2 and -18.3?\nAnswer: 21.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2996*g + 2037285. Calculate l(680).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*g**2 - 21*b**3 + 74*b**2*g**4 - 5*b**2*g - 4*b*g wrt g.\nAnswer: 2*b**3 + 888*b**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - 2672c3?\nAnswer: -2672b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.1, 3, -7852\/59 in decreasing order.\nAnswer: 3, 0.4, -0.1, -7852\/59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1840221 less than or equal to 1840220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 18.9. Which is the closest to -1? (a) z (b) 2\/3 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18671086?\nAnswer: 2, 7, 1333649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 + 0)*(z + z - z)*(0 + 0 + 1) to q + g*z and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98 and 2.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*t = 62, 0 = 4*j - t - 3*t - 112. Suppose -10*f = -7*f - 6*g - 6, -2*f - g = 1. Solve f = 3*l - x - 20, 10 + j = 3*l - 4*x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 99*y**2 - 741*y - 227. Determine w(-91).\nAnswer: 956","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (42*h - 42*h - 32*h**3)*(5*h - 3*h - h) + (0*h + h + 0*h)*(-h**3 + h**3 + h**3) to the form x*h**2 + u*h + y*h**3 + f*h**4 + o and give f.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 0*g**2 - 2*g + 0 + 5\/6*g**3. Let i(s) = 232*s - 99*s - 131*s. Calculate x(i(p)).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**3 + 101*f**3 - 292 + 292 + 40*f**3.\nAnswer: 137*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(147) + sqrt(147) + 4 + 1 + sqrt(147))**2 - (1*sqrt(243))**2*-6) + -1.\nAnswer: 1260*sqrt(3) + 16835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*x = 85*x + 192. Calculate the lowest common multiple of ((-126)\/15)\/((-3)\/20) and x.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*m**(1\/3)\/m*m))**14\/(m\/((((m*(m*m\/(m**0\/m)*m)\/m)\/m*m)\/m)\/m)*m)**26)**(16\/5) assuming m is positive.\nAnswer: m**(-896\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 2)*(-5)\/(-5). Let q = -7\/2 - o. Sort q, 3, 7 in descending order.\nAnswer: 7, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43534004*l**2 - 88731086*l?\nAnswer: -87068008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*m**3 - 142 - 10*m**3 + 141 in the form l + j*m**3 + a*m + r*m**2 and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wog when three letters picked without replacement from {o: 2, j: 1, y: 5, g: 3, w: 8}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c**2 - 2. Suppose 0 = -5*w + 79 - 69. Let g(l) = -9*l**2 - 3. What is w*g(h) - 3*n(h)?\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4089676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/17)\/(4*6*5\/840).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93 and 682.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5297 * -6.88\nAnswer: 36443.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 2, 32 in ascending order.\nAnswer: -3, 1, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0) + 42\/(-4 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 731.6709 litres to millilitres.\nAnswer: 731670.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2703 - 1461. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-0.1254293.\nAnswer: -0.03762879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 27. Let s(y) = -2*y**2 - y - 1. Let q be s(3). Let t = -24 - q. What is the nearest to o in 5, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 14, 1187701.\nAnswer: -2, 14, 1187701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l - 2. Let z(i) = -i + 1 + 3*i - 5*i. Let m(o) = -3*o + 7. Let q be m(5). Give q*z(g) - 5*v(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7)\/(-14)*-1442*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 617*v**4 + 2*v - 301?\nAnswer: 7404*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i**2 + i - 1. Let l be t(-3). Suppose -5*x = -45 - l. What is the second derivative of 0*n**4 + n**4 - x*n + 15*n wrt n?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*(3 + sqrt(171) - sqrt(171)))**2 - 6*(1 + -4*sqrt(1900)).\nAnswer: 714 + 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*q - 9*q + 3*a + 177, 4*q - 4*a = 36 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/4*28\/49. Suppose -4*b = 4*n - 2*b - 4, -o*b - 14 = -5*n. Find the second derivative of -3*z - 9*z**n - 2*z**4 + 9*z**2 + 4*z**4 wrt z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46594 or 46591?\nAnswer: 46594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 12*y - 149. Determine a(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 319051727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 462569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*(1\/2 + 13).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1710596125?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16026*-419.\nAnswer: -6714894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 4. Suppose -5*o + 5 = 5*l, -2*o - 3*l = 7 - 4. What are the prime factors of b(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-5)\/70) - 12 - -12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**2. Let l(f) = -85*f + 12. Let p(o) = 16236*o - 2296. Let n(t) = 574*l(t) + 3*p(t). Calculate s(n(m)).\nAnswer: -33620*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 6 (c) -0.228 (d) -18 (e) 39 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a + 1. Let l(z) = -3*z**3 - 3*z - 3. Let m be l(-2). Suppose m - 6 = 3*c. Calculate the remainder when q(-6) is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**4\/6 + 4*b**3\/3 + 3*b**2\/2 - b. Let i be a(-7). Let y = -20 + i. Calculate the highest common factor of 10 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -254 + 808. List the prime factors of f.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1) + 4 + (1 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 6:14 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 6:34 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 14*s - 30. Let i(t) = 3*t - 6. Let d(y) = -f(y) + 5*i(y). Let a(w) be the third derivative of w**5\/60 + 2*w**2. Give a(d(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/8 - (-8)\/32. Let g = -18 + 25. Suppose h + 2*s = 2*h + 8, -g = -4*h - 5*s. Sort i, 2, h.\nAnswer: h, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8209.28 kilometers to centimeters.\nAnswer: 820928000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 89*x**3 + 56 - 16*x**3 - 25.\nAnswer: 73*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h*n**4 - 2*h*n**3 + 23*h*n**2 + n**5 + 17*n**3 + 175 wrt n?\nAnswer: -48*h*n - 12*h + 60*n**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 - 9*v**2 + 85. What is the hundreds digit of q(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyqqh. What is prob of picking 2 q and 2 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 70.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11.3, 2, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -69928*t - 699273. Calculate g(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-10))\/(48\/1040*-26).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 621649 - 621649. Factor -6\/7*x**5 - 2\/7*x**4 + 4\/7*x**3 + h*x**2 + 0 + 0*x.\nAnswer: -2*x**3*(x + 1)*(3*x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2 = -4*k - 0, -4 = 2*s - 4*k. Suppose -p - 11 = -12*p. Let m = 0.34 + -0.04. Which is the closest to m? (a) 0.5 (b) p (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1189 divided by -6\nAnswer: -1189\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from uuuca.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (323 - 324)\/(4\/48 + 2\/(-8)). Let w be (114\/5)\/(2\/10). What is the greatest common divisor of w and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**5 - 8*x**4 + 8*x**2 - 4*x.\nAnswer: 4*x*(x - 1)**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 18. Calculate the highest common factor of 21 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3241, 6552, 9863?\n\"Answer: 3311*n - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 15c (base 14) to base 10\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-258)\/(-116) + (0 - 2). Let c = i + 1301\/406. Let d = 10581\/11 + -965. Calculate the common denominator of d and c.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 8*a**3 + 594*a**2 - 306*a + 10746. Calculate w(-75).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 9*j - 5*j)*(-1 + 1 - 2)*(0*j + j + j).\nAnswer: 44*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 8.5024058687.\nAnswer: 9.0024058687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4222, 4210, 4176, 4120, 4042, 3942, 3820?\nAnswer: 3676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 10*a**2 + a - 2. Give f(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2634 divided by 3\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8148012 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 58*q + 16. Let x be h(3). Suppose 7*c - 41 = x. Suppose 3*i - 21 = 3*v, 3*i - 3*v - 33 = -2*i. Calculate the remainder when c is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 349*s + 113*s + 113*s + 527*s**2 + 122*s to d*s + r + c*s**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-1 + (5 + -5 - 5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7656 = 2*t + 2*q - 7650, 4*t - q = -17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**5\/60 + g**2 + 31*g. Let a(j) be the first derivative of -2*j**2 + 1. Determine a(u(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 4:27 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(252\/135)\/7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**2 - m**4 + 32132 - 32132 - 2*m in the form j*m**4 + y*m**2 + z*m + h + s*m**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43? (a) 3\/2 (b) -2\/119 (c) 37\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -319, -1 in descending order.\nAnswer: 4, 3, -1, -319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d - 10. Determine v(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217812564.\nAnswer: 2, 3, 331, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-2)*30\/4. Let x = -13 - -18. Suppose 0 = -s + 5, -x*s + v = -4*u + 2*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -737.5273118 rounded to 1 dp?\nAnswer: -737.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - x. Let l be h(-1). Let o = -16 + 9. Let s = -6.94 - o. Are s and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w + w)*(-w + w - w**3) + 2*w**4 - 3*w**4 + 3*w**4 + 0*w**4 + 2*w**4 - 6*w**4 + 3*w**4 + 3*w**4 - 4*w**4.\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321362*a**2 + 159388*a**2 + 161974*a**2 - 6*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 370\/(-40) - 3165\/(-30)*(-1)\/(-2)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (7 + (-13 - -9))) + 6 - 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 7:42 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewa when three letters picked without replacement from {e: 1, c: 2, w: 1, g: 2, a: 1, l: 2}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1191*p - 6150 = -1396*p for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -942*h**2 - 2 + 0 + 699*h**2 - 2 + 3 in the form k*h**2 + q*h + g and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*h - 82842 = -70557 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 2*y + 6*y - 16 = 0, 0 = -4*y + 20 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24777 and 375556001.\nAnswer: 2753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*v - 4. Let j be (-1)\/(-4)*(3 - v). Put j, 4, -0.5 in decreasing order.\nAnswer: 4, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118081 is divided by 1177.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10681?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.92, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*h - 32*h - 64 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.4 < 8\/236045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 5 + -101 + (-52 + 50 - (-2 + 3)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.28 - -0.1. Let x = 0.194 + j. What is x rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 + 6*s. Let i(p) = -6*p + 16. Let d be i(1). Suppose d = 6*f + 40. Give l(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-1) + (2 - -12). Suppose 4*k + 4*v = 5*v - u, 3*v - 22 = 5*k. Let n be (-8)\/(-6)*k\/(-4). What is the third smallest value in n, 0.4, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**5 + 2972*x**4\/3 + 51784*x**3 - 987250*x**2\/3 + 212309*x + 191990\/3 = 0?\nAnswer: -263, -73, -2\/9, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 12 + 10*j**2 - 19 + 7. Let g be (-1)\/(-1)*-2 + 4. Let x(s) = -3*s + 3*s - g*s**2. Give n(x(q)).\nAnswer: 40*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24*-11*(-21)\/(-1848)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1629\/4889 - -2\/14667. Let 1\/3 - o*p**4 - 2\/3*p**3 + 2\/3*p + 0*p**2 = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k = -h - 61, 0 = 4*k + 4*h - 92. What is the greatest common factor of 17 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 - 2*l + 5*l**2 + 2*l**2 + (5*l + l**2 - 5*l)*(2 + 3 - 3).\nAnswer: 8*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130204 - -2003?\nAnswer: 132212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 345*r + 279. Calculate b(-1).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61826 and 494?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -191, 0.221, -3.1?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49759 and 3026?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -37357 (base 8) in base 3?\nAnswer: -211002201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 98888*223\nAnswer: 22052024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 11 = y + 2*t, 3 = t. Let h(a) = -a**y - 5*a + 4*a + 0*a. Let c(x) = -2*x**3 - 6*x**2 - 6*x - 2. Determine -c(p) + 6*h(p).\nAnswer: 2*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 10:37 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*w**2\/4 - 99*w\/4 + 1 = 0. Calculate w.\nAnswer: -4, 1\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 13*b**2 - 13*b - 9. Let q be m(-12). Let p = 5 - 5. Solve -5*g - 6 = q*u, p = -6*g + 2*g + u + 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 721 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4462 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114030282 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) -0.05 (c) -0.3 (d) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 8:29 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Suppose y = 2*n - 0*n - 4. Suppose 6*j = j - 3*z + 45, 2*j - 14 = -2*z. Calculate the highest common factor of j and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1189588.9 less than 2?\nAnswer: 1189590.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 12017*v - 55. Let f(n) = 2404*n - 10. Calculate 33*f(w) - 6*h(w).\nAnswer: 7230*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 + -b979?\nAnswer: -b989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -4 (c) 1\/9 (d) -3 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((19 - 7) + -4 + (-5 - -13))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.009 times -3009\nAnswer: -27.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -530 - -918. Suppose -9*u + 5*u = -d. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14448 + 10677. Which is bigger: -0.1 or h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 + p**2 + 2*p - 2. Let n be a(1). Suppose 0 = -2*d - b - 8, d + d - 8 = 3*b. Let x be (-1 + 1)*2\/d. Solve -n*f - 15 + 0 = x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 5665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 2*p**3\/3 - 7*p**2\/2 + p - 23. Calculate c(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**3\/6 - 13680*u**2 - 560687751*u\/2 + 15178486401 = 0.\nAnswer: -41067, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.82 - 0.18. Let h be (-7)\/(1638\/27)*(-4)\/3. Put o, h, -0.1, -0.6 in increasing order.\nAnswer: o, -0.6, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001174 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(5*g**2 + 76 - 33*g**2 + 3*g**3 + 26*g**2).\nAnswer: 3*g**3 - 2*g**2 + 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 7*z**2 - 431*z + 2527. Calculate p(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888873?\nAnswer: 3, 127, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 101051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 = 2. Solve 0 = -r*i + 3*i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0) + (-1 - 1 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12072 + 33299 - 15697)*(3*d**2 - 3*d**2 - 2*d**2).\nAnswer: -11060*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 - 524?\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 37\/12*d**4 + 0*d**3 + 0 + d + 0*d**2. Is m(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.11 + 0.61. Let h = -0.023 - -0.423. Put h, -2, -7\/3, s in descending order.\nAnswer: s, h, -2, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + 47 + (-8 + -2 - -1) + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 2270*u**2 + 78335*u + 6445400.\nAnswer: -5*(u - 67)*(u + 40)*(u + 481)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnunsunnsnesnen. What is prob of sequence unu?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3705033\/35 + -105911. Let k = n + 276\/5. Let j = 1853 + -3803\/2. Find the common denominator of j and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**3 - 4*y**2 - y - 4. Let v(d) = 3*d**3 - 4*d**2 - d - 5. Let a(p) = 5*t(p) - 4*v(p). Is a(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -21*y + 800. Let j be z(38). Factor 15\/4 + 5\/4*w**j + 5\/4*w**3 - 25\/4*w.\nAnswer: 5*(w - 1)**2*(w + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 3*p**2 - 7*p + 25. Let m(i) = 1 + 12*i**2 + 4*i**2 + 0 - 5*i**2 + 2*i. Let b be m(-1). Is h(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5774 + 96*d - 1929 - 1925 - 1927 as s + k*d and give k.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 2*j. Let q be h(3). Let u be (-4)\/144 + q\/(-12). Let o = 8 - 25\/3. What is the closest to o in u, 2, 2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 662, 1340, 2018, 2696, 3374?\n\"Answer: 678*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.3, -4.877.\nAnswer: -4.877, -4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/3 - 3584*g\/3 + 802816\/3.\nAnswer: 4*(g - 448)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 275764188856?\nAnswer: 275764188854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-39)\/52 + 38\/8. Suppose 0 = -4*s + 3*r, -n*r + 28 - 3 = 3*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5075, -6877, -8679, -10481?\nAnswer: -12283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 109*w + 231 wrt w.\nAnswer: 109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkkk when four letters picked without replacement from {f: 4, y: 2, k: 4, w: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/4 - 29141\/(-92). Calculate the highest common factor of h and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5510 and 10295?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2421 greater than or equal to -2437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132 + 310200000?\nAnswer: 310200132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + 1. Let l(p) = p**3 - 18*p**2 - p + 19. Let o be l(j). Is 25\/(o + 1\/(-2)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 74?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33952 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + -253247?\nAnswer: -253260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 104975263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*b + b**4 + 23 + 3*b**2 - 3*b**3 - 10*b - 24 as z + n*b**4 + c*b**3 + h*b + x*b**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 47 = -32. Suppose 0*t = -4*t + 16. What is l in -2*l**x + 8 - 2*l**t - 8 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102 (base 3) in base 11?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**4\/24 - 4*t**3\/3 + 3*t**2. Let d be q(-13). Suppose 0 = 7*s - d*s + 6. Let v(p) = p**3 + 4*p**2 + 4*p + 4. Give v(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 5*f - 3. Let j be h(-6). Let w(k) = -j - k**2 - 4 + 5*k + 2 + 0*k**2. Determine w(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)*-1*5)\/(sqrt(405) - sqrt(405)*2) + 1.\nAnswer: 1 + 5*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 21 - 11. Suppose y + 14 = 5*z + 103, -d*z = -2*y + 158. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5880 - -5521. Is -375 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 4*l + 8 = 0. Solve l*x - 12 = 6*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**2\/2 - 17*c + 16. Let w be y(-2). Let a be ((-18)\/w)\/((-4)\/(-10)). Sort -6\/11, 0.3, 5, a.\nAnswer: -6\/11, 0.3, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/2)\/(m**32*m))\/(m**(-3\/8))**(1\/78) assuming m is positive.\nAnswer: m**(-7175\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 5*k**2 - 4*k + 38. Let u be l(4). Suppose -46 = -p - 6. Suppose b - u*b = -p. Calculate the remainder when 21 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476998800 divided by -5?\nAnswer: -95399760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 280, 564, 848, 1132, 1416?\n\"Answer: 284*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33201.63kg to tonnes.\nAnswer: 33.20163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 6*v**2 + 24*v - 6. Let f be m(-8). Let d be 10\/35 - f\/98. Solve 0 = 2*b - b + d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12001012011022 (base 3) to base 11\nAnswer: 1571014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 151273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 485 divide 500043730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -21*w**2. Let l(m) be the second derivative of 0 + 0*m**3 - 47*m - 5\/12*m**4 + 0*m**2. Calculate o(l(r)).\nAnswer: -525*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -184 + 350. Suppose -8*g + 10*g = i. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1376 divided by -172.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -11. Let l(y) = -60*y - 2701. Let n be l(-45). What is the smallest value in n, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16905, 16903, 16901, 16899?\nAnswer: 16897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 2*s**2 - s**2)*(0*s - s - s) + 5*s**3 - 2*s**3 - 4*s**3 - 36*s**3 - 5*s**3 + 16*s**3.\nAnswer: -30*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 52?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -10120*q - 12907. Let d(j) = -5060*j - 6406. Let u(p) = 5*d(p) - 2*o(p). What is the first derivative of u(l) wrt l?\nAnswer: -5060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1581, 1583, 1585, 1587?\n\"Answer: 2*b + 1579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) -28 (c) 32\/9 (d) -1\/850 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 54*p**2 - 28*p - 796. What are the prime factors of g(52)?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*m**2*m)*m**(-5))\/(m\/m**(-1))**(-2\/47))\/((m\/m**(-2\/7))**(-1)\/(m*m*m\/(m\/m**4*m)*m*m*m*m\/(m**(3\/2)\/m))) assuming m is positive.\nAnswer: m**(573\/658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23806?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 378 and 546?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 17 = 5*n + 7, 9 = 3*n - 3*i. Let d be (5 + (n - 1))*36. Calculate the greatest common factor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-688)\/16 + -28 + 102.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6888111 to 3 dps.\nAnswer: -1.689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -635 divided by -2.\nAnswer: 635\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*i + c, -90*i + 89*i + 4*c + 17 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 43 (b) -5 (c) 0.05 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6)*s*(s*s\/((s**0*s)\/s)*s)\/s)**(-2\/3)\/(s\/(s**8*s)*(((s*s\/s**(-6))\/s)\/s)\/s)**(-7) assuming s is positive.\nAnswer: s**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011000221 (base 3) in base 15?\nAnswer: -c807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 57*d**2 - 2*d + 2. Suppose 4*x + 5*r = r + 24, -4*x + 3*r = 11. What are the prime factors of j(x)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202 + 215 + (10 - 13) - (-77 - 1).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 343*w + 343*w + 16*w**3)*(-2*w**2 + 2*w**2 + w**2).\nAnswer: 16*w**5 + 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2694 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 392413042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccklcclkcc. What is prob of picking 1 c and 2 l?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2. Let d = -20 + 29. Let x = 12 - d. What is the smallest value in -3, x, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252 - 11*t - 252.\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -11*b**3 - 11*b**2 - 13. Let n = -9 + 3. Let a(u) = -5*u**3 - 5*u**2 - 6. Let g(s) = n*d(s) + 13*a(s). Find the third derivative of g(l) wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5*g + 10, 10*v = 7*v + 4*g - 14. Let i(z) = z + 11. Determine i(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*t, s + s - 39 = -3*t. What is the highest common factor of 27 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8767687*u - 533 + 8767693*u + 533.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*u - 42 = 4*r, 4*r + 4*u = -84. Let x(w) = -9*w + 15. Let n(f) = -90*f + 150. Let k(y) = r*x(y) + 2*n(y). What is the derivative of k(j) wrt j?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -138 + 257. Suppose -418*m + 414*m + 160 = 0. What is the remainder when r is divided by m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, -1\/10, 3, 4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*g + 0*g + 3 = 0, 5*n + g + 1 = 0. Suppose 0 = -n*h + 4*h. Solve h*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -8*n - 1 + 1 - 2 - 6 - 1. Calculate y(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 1. Let r(o) = -11*o - 8. Suppose 240*z + 78 - 318 = 0. Determine z*r(q) + 6*m(q).\nAnswer: -17*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 4 - 1)*(-2 - 3 + 2) + 23 + 119 - 60)*(y**4 - y**4 + y**4) as w*y**2 + g*y**3 + b + x*y + m*y**4 and give m.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801564993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 2. What is d(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*h**4 + 431*h**2 + 895*h + 2?\nAnswer: 96*h**2 + 862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 12.99. Let d = 0.41 - v. What is the third smallest value in 3, d, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/1024800 and 41\/1464.\nAnswer: 1024800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12806 + 179385\/14. Find the common denominator of 23\/182 and b.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-8))\/((-11)\/88). Let x(s) = -1 + 6*s - 1 + o. Is x(2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 3 = -3*q + 3*a, 5*q - 2*a = -5. What is the closest to 0 in 6\/7, q, 4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -0.2, -61 in ascending order.\nAnswer: -61, -0.2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5526 is divided by 173.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0)*2\/28*(-2212)\/8295\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15, 0.34, 3, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5310088 centuries in years?\nAnswer: 53.10088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 845*u**2 + 3*u + 5. Is r(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 258156?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100 + 110?\nAnswer: 110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, -2, 9\/10, -3\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.782052 seconds in days?\nAnswer: 0.00098127375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -73 - 6*(-2)\/(-4). Let w be ((-12)\/(-8))\/((-6)\/m). Solve 3*s = 2*n - 4*n, 3*n - 5*s - w = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*t**2 - 45*t**2 + 1 + 13*t**2 - 1.\nAnswer: -204*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*g - 11*g - 3*g)*((-24 - 4*g + 24)*(-2*g - g + 5*g) + 3*g**2 - 3*g**2 + 2*g**2) to the form x + w*g**2 + n*g**3 + v*g and give n.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190 - 153 - -1 - (2 + 136).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 148.4365 + -1.5165. Round u to the nearest integer.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-172)\/(-24) + -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22570 minus -0.4?\nAnswer: 22570.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4973066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9050, -18096, -27142, -36188, -45234, -54280?\n\"Answer: -9046*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)*r*r)**(-6\/13)*r**(-8)*(r**(1\/8)*r)\/r assuming r is positive.\nAnswer: r**(-675\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 1644.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2553183 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35490 and 33215?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 74\/(-74)*2*(-2)\/(-4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3044 - 3042. Let m(l) be the first derivative of 0*l + 0*l**y + 15 + 0*l**5 + 0*l**4 + 6*l**3 - 19\/6*l**6. Find the third derivative of m(q) wrt q.\nAnswer: -1140*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2387400 to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 3*d - 5. Calculate z(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 2:19 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqar when four letters picked without replacement from qrqaqatrttaqq.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1094041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -250 + 129. Let j = w + 26. Let m = j + 143. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 122. Suppose -m + 91 = -a. Solve a*z - 2*z - 25 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {q: 2, b: 4, y: 10}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1827111 or -0.92?\nAnswer: -1827111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2899 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v**2 - 4. Let t(z) be the third derivative of z**5\/20 + z**3\/3 + 2*z**2. Let j(k) = k - 8. Let g be j(10). What is g*a(i) + 5*t(i)?\nAnswer: i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 + -16. Let p = s - 29.86. Let b = p - 0.14. What is the nearest to b in 0.4, 4\/5, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-38)\/72 - (-27)\/36. Which is the second biggest value? (a) -1\/4 (b) 1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 10*g**2 - 20*g + 7. Let x be t(-10). Let y = x - 69. Suppose z - 30 - 27 = 3*p, 2*z + 2*p - y = 0. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47340213*o**3 - 45931680.\nAnswer: 142020639*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170200181 and 716?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, -3, 7, 23 in descending order.\nAnswer: 23, 13, 7, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 51762 + 57350?\nAnswer: 131332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4 = -5*m, -5*a + 0*m = -2*m - 6. Suppose s = a*r - 9, 11 = 3*r - 3*s - 10. Let t = -18 + 28. Solve 4*l + r = -t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = 4 - 1004. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*k + 8*k + 4*r + 9672, -3*k + r + 7258 = 0. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2 - 4317*n + 7 + 4282*n + 4. Calculate the remainder when o(-1) is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 869\/120 - 59\/8. What is the nearest to -0.1 in j, -1, -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -895 + 895. Which is the closest to g? (a) -3 (b) 21 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 832 = 25*f + 16*f. Solve 4*n + 3*o + 1 = 35, -o = -4*n + f for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 56. Let q(g) = 2*g**2 - 3*g + 6. Let u be q(4). What is the highest common divisor of u and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 464. Let r(f) = 49*f. Determine y(r(h)).\nAnswer: -2401*h**2 + 464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18074)\/6288 - (4 - 25\/10). Let r = u + -1\/1572. Find the common denominator of r and -23\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 533.383 - 534. Let y = 0.153 - c. What is y rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-21)\/42)\/(2\/8). Let s(u) = -u**2 - 5*u - 4. Let r be s(q). Suppose 3*y = 0, -r*y + 7 = w + 3. Solve 3*l + 10 = 5*l - 2*x, -x = w*l - 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 18 = a - 3*u, 2*a - 24 = 4*u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 (base 11) in base 15?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8062, -12907, -20978, -32269, -46774?\n\"Answer: l**3 - 1619*l**2 + 5*l - 6449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 66 = t. Suppose -x - t + 9 = 0. Let o = x + 61. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8646623659280 + 2.4.\nAnswer: -8646623659277.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -165?\nAnswer: 26\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2937 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 212281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 11802608\nAnswer: -1\/11802608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.082 - -0.778. Let i = 0.779 - a. Round i to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-12.13416.\nAnswer: -60.6708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/((-429)\/(-506)) + (-27 - -12). Factor 29\/3*y + 0 - o*y**2.\nAnswer: -y*(y - 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1257951982.\nAnswer: 2, 7, 977, 91969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (-1 - 0\/(-5)). Suppose 0*n - 40 = -x*n. Let d be 3\/6 + (-5)\/n. Solve 4*w + 0 = 5*j - 3, d = -3*w + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5308136992?\nAnswer: 2, 165879281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t**2 - 48*t - 44*t - 4*t**3 + 94*t + t**3 - 37 - 19*t**2 as q + z*t + s*t**2 + r*t**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/4*28\/105*-3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -36550 rounded to the nearest 1000?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*k = 1 + 6, -4*w - 4*k + 8 = 0. Let j = 0.7 - -4.3. Which is the nearest to w? (a) 1\/5 (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260446480 a multiple of 1840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 1\/4, -115, -0.079, -3\/4 in ascending order.\nAnswer: -115, -3\/4, -0.079, 0.04, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -19*r**3 + r**2 - 3*r + 3. Let u(b) = 39*b**3 - 2*b**2 + 5*b - 5. Let k(t) = t**3 + 13*t**2 - 138*t - 9. Let v be k(7). Determine v*a(h) + 3*u(h).\nAnswer: 22*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iexx when four letters picked without replacement from {i: 5, r: 3, e: 5, x: 2}?\nAnswer: 5\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68841 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**3*t**3*u + 16*f**3*t*u + 2*f**3*t + 7*f**2*t*u - 30082*f*t**3*u + 8*f*t**2 + 11*f*u wrt t.\nAnswer: -18*f**3*u - 180492*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6048)*-2 + sqrt(6048))\/(sqrt(6) - sqrt(54)\/sqrt(81)) - (sqrt(35)\/(-3*sqrt(80)) + (sqrt(7) - (sqrt(70)\/sqrt(160))**2 - sqrt(35)\/(sqrt(5)*2))).\nAnswer: -221*sqrt(7)\/12 + 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 6*f**2 - 20*f + 123. Let h be p(6). Sort 2863, -5, h.\nAnswer: -5, h, 2863","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 - 2*i + 2. Let j(t) = -4*t**2 + 3*t - 3. Let o be ((-10)\/6 - 18\/(-27))*-2. Let x(y) = o*j(y) + 3*q(y). Let p(c) = -64*c. Calculate p(x(r)).\nAnswer: -64*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 667, -2, -0.8, -234?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*g + 113*g - 59*g + 63*g**3.\nAnswer: 63*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*l**3 - 64*l**3 + 19*l**3.\nAnswer: -82*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251580 is divided by 752.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 0)\/(3\/(-9)). Let z = 19 + -15. Suppose -h + 5 = z. Solve b - h + 3 = 4*r, 5*r = -3*b - f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*n + 125*n - 270*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5425.0004987 - 5425. What is w rounded to five decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597501 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 7605?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30 + 30 - 27*x**2)*(3*x - x - 2 - 4*x) to the form d*x**2 + i*x**3 + p + z*x and give i.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1))\/v**(1\/4))\/(v**(-7)\/(v*v**(4\/9))) assuming v is positive.\nAnswer: v**(295\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17964 + 251501\/14. Let z(d) be the first derivative of 5\/7*d**2 + 2\/7*d**3 + 2\/35*d**5 - 8\/7*d - l*d**4 - 11. Find i such that z(i) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6 + 2\/(17 + -11).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1 + -4 - (-15 - -11))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 254, 49, 2 in decreasing order.\nAnswer: 254, 49, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/45 and (18 + 1036\/(-50))\/((-2)\/(-10) + 1)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47954.\nAnswer: 2, 23977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*q**2 - q**4 + 8*q - 4*q**3 - 16 + 1\/2*q**5.\nAnswer: (q - 2)**3*(q + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*a**5 + 12 - 8 + 5*a**5 + (13 - 13 + 9*a**2)*(3*a**3 - 3*a**3 + 2*a**3) + 2*a**5 - 2*a**3 + 2*a**3.\nAnswer: 3*a**5 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Suppose -4 + 32 = 7*n. What is the first derivative of -g - n*t**2 + 6 - 5*t**2 + 6*t**2 wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4*(-1 - -1). Suppose s = -6*m + m + 10. Find the second derivative of 1 + 1 - 2 - 4*d**5 - m*d wrt d.\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -81*l + 2411 - 1601. Solve l = 6*g - 4*d + 2*d, 9 = 4*g + d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8606)\/(-286) + -30 - 42426\/(-11). What is o rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) + (-10)\/(-3). Suppose -m*n + 66 = u, -2*n + 4*u - 22 = -3*n. Calculate the remainder when 42 is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**5\/60 - m**4\/8 + 5*m**3\/6 + 3*m**2. Let x(h) = 2*h**2 - 5*h + 9. Calculate 7*b(z) - 4*x(z).\nAnswer: -z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 844 and 492709898.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*r - 773 = 270, n + r - 1039 = 0. What is the remainder when n is divided by 116?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in hours?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/2)\/(1250\/1220 + -1). Suppose -k + z = -61. List the prime factors of k.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.03 + -0.03. Let g = v + -3. Let y be (-2 + (1 - 1))\/(-1). Which is the biggest value? (a) y (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34\/5*z + 32\/5 + 2\/5*z**2.\nAnswer: 2*(z + 1)*(z + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357*g = -335*g - 1882100000. What is g rounded to the nearest 1000000?\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05196 - 1159.6834\nAnswer: -1159.73536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/10*14\/3. Suppose -n = -0*y - y. Suppose -y*j + 5 = -2*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -172 + 7?\nAnswer: -16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503138 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -434\/3 in 0.2, 0, -0.12, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -292 or -291?\nAnswer: -292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + -60 - (-12 - -21).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 278, 4, -3 in decreasing order.\nAnswer: 278, 4, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -320, -1, 22, -19 in decreasing order.\nAnswer: 22, -1, -4, -19, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -1\/20*o**4 + 0 + 2*o + 0*o**3 + 0*o**2 + 3\/50*o**6 - 3\/50*o**5. Factor b(r).\nAnswer: 3*r**2*(r - 1)*(3*r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163 + 163. Suppose 3*m - 3*a + 5 = 4*m, l = -a - 2. Calculate the highest common factor of m and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -49.7181 (c) -4 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 197575365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**5\/(q**(3\/2)\/q)*(q\/q**(-1\/2))**(-2\/45) assuming q is positive.\nAnswer: q**(133\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, n: 2, k: 8, s: 3, y: 1, c: 1}. What is prob of sequence sysc?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 29*z - 820. What is w(30)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/7*28\/(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49894 divided by -13.\nAnswer: -3838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1 + sqrt(72) + sqrt(72) - (sqrt(2) - (sqrt(242) - (sqrt(242) + 0) - sqrt(2)) - sqrt(2))) + -4 + (2*sqrt(2016) - sqrt(2016))\/sqrt(7))**2.\nAnswer: -138*sqrt(2) + 1070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1812?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 2 = 5*u, -23*z + 12*z = 23*z + 4*u - 280 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 6*q - 25 = -q, 2*q = -2*c - 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-five quarters of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20608153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-564)\/235)\/(621\/(-45)).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9a - 26530?\nAnswer: -26474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 48 = -2*u, 3*u = 5*a - 531 + 379 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gks when three letters picked without replacement from {s: 1, a: 1, g: 3, r: 1, k: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, t: 4, y: 2, c: 1, u: 1}. Give prob of picking 1 t, 1 o, and 1 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 703*b**5 + b**3 + 2*b - 103?\nAnswer: 14060*b**3 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuu. Give prob of picking 3 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1012*m + 1992*m - 1008*m = -1260 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -87 + 171. Suppose -p = -q - q. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41.24 + 1.24. Let j = v + 39.9999815. Round j to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 15, 102, -157 in increasing order.\nAnswer: -157, 3, 15, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-7)\/q**(17\/2) assuming q is positive.\nAnswer: q**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 5\/6*s**4 + 0*s + 5\/3*s**2 - 5\/2*s**3.\nAnswer: 5*s**2*(s - 2)*(s - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2) + sqrt(2) + (sqrt(2) - sqrt(216)\/sqrt(12)))*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*s + 4*g + 76 = 149*s, -3*s + 4*g + 52 = 0. Solve 0 = -4*j + 8 + s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152\/266*(-133)\/6194?\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.998 + -0.048. Let d = w + -2.94999813. Round d to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1097?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -678480 minus -10361782.4?\nAnswer: 9683302.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, g: 2}. Give prob of sequence gg.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 - 2*c**2 + 4*c**2)*(3 - 2 - 2*c**2 - 4*c**2).\nAnswer: 6*c**4 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 6*n**2 + 3. Let x be h(-6). Let d(r) = 2*r + 3*r - x*r + 0*r + 2*r**2 - 1. Is d(-2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + 9*14*2\/(-25 + 21).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*56.\nAnswer: 22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 5*b**7\/42 + 55*b**4\/6 - b**3\/2 - b**2\/2 + 2090*b. What is the second derivative of v(j) wrt j?\nAnswer: 100*j**3 + 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1747*f - 45 = -0*c - 4*c - 1750*f, 0*c - 2*c + f = 25 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -3.1, 3\/7, -87, 5\/3 in descending order.\nAnswer: 5\/3, 3\/7, 0.02, -3.1, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 - 6)*(0*j - 4*j + 5*j)*(-1 + 1 - 2)*(1 + 1 + 0) in the form x + n*j and give n.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2452510.\nAnswer: 2, 5, 245251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - 51*i**2 - 240*i - 192.\nAnswer: -3*(i + 1)*(i + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108.4 - 205.8. Let a = 106.91 + u. Round a to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**11*d)\/((d\/d**(-2\/5))\/d))\/((d**(-20)*d)\/d*d**(-6\/13)) assuming d is positive.\nAnswer: d**(2084\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -334 - 570*p - 497 - 5*p**3 - 249 - 95*p**2.\nAnswer: -5*(p + 4)*(p + 6)*(p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**2 - 5*o + 11. Let n be a(2). Let x be 8\/32 - (1 + n\/12). What is the third smallest value in 65\/6, -0.1, x?\nAnswer: 65\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33996, 68311, 102664, 137073, 171556, 206131?\nAnswer: 240816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -569*k**7\/210 + 8*k**4 + 7*k**2 + 19*k. What is the second derivative of i(o) wrt o?\nAnswer: -6828*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -171080.\nAnswer: -3\/171080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 + 30 + 84 + 7)*(4*z - 3*z**2 - 4*z) to f*z + s*z**2 + j and give s.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbasaababbss. What is prob of sequence bsss?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 20, 333 = 4*u - 3*g - 451. Let c = u + -58. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 2*d**2 - 3*d + 4. Let y be f(3). Suppose m + 4*i = 46, -2*m - y*i = 3*m - 262. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*a = -3*c + 474, 588 = 5*c - 4*a. Suppose -5*t + d = -2*d - c, 2*t - 79 = -5*d. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 18?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13083 and 56889.\nAnswer: 5063121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 2)\/((-4)\/(-32)). Suppose 0*f - f - l = -5*m, -m = -5*f - 24. Let v be f\/4*8\/(-14). Which is the smallest value? (a) 1 (b) v (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**2*w - g**2 - 1247*g*w + g + 302476*w wrt g?\nAnswer: -2*g*w - 2*g - 1247*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -265, -4, -2, 3.\nAnswer: -265, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3045015 is divided by 673.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 12 = j. Let c = j + 49. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 33*u**2 - 24*u + 267. Calculate s(-32).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 26\/57331275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**5 - 2*i**5 + i**5 + (-4*i - i + 2*i)*(0*i**4 - 3*i**4 - 3*i**4) + (-4*i**3 + 6*i**3 + 0*i**3)*(-2*i**2 - 3*i + 3*i).\nAnswer: 16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2250722 - 129278. Round i to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81246463 - 81246463 + 108*p**2.\nAnswer: 108*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 l, and 1 x when three letters picked without replacement from tlclttcyxl?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, g: 3}. Give prob of sequence gvgv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 69773092549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*36\/7*693\/(-594).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(4*sqrt(175)).\nAnswer: sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -83d34 (base 14) in base 7?\nAnswer: -2463364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 11 = 5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/3019800 and 97\/48694275.\nAnswer: 389554200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 16*d**2 - 2. Let z be v(1). Is 12 a factor of 21\/z - 162\/(-4)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 422, 684, 946, 1208, 1470, 1732?\nAnswer: 1994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240 and 143880.\nAnswer: 287760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*j = -14423 - 92677. What is the closest to 1 in -0.2, j, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 > 460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 0 - -1) + 75 + (30 - 59) + 2?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011210081733 to 7 dps.\nAnswer: 0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-5\/4)*s*s)\/s**(-17)*(s\/s**(-1\/2))**(-10\/21))**(-13\/5) assuming s is positive.\nAnswer: s**(-1495\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389203?\nAnswer: 37, 67, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-5)*(-2)\/24*-8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 11 - 4 = -n, 0 = -2*n + 5*l. Let b(p) = -p + 5. Let v(r) = -r + 5. Let d(y) = n*b(y) - 4*v(y). What is the units digit of d(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(75))*-2 + sqrt(75) - (5 + sqrt(75)*2))**2 + -5.\nAnswer: 270*sqrt(3) + 751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (21\/20)\/7*-2. Let a(u) = -u**2 + 6*u + 1. Let n be a(6). Let w = n + -1. Does s = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 52*m**2 - 43*m + 14*m**3 + 48 + 18*m - 68*m - 85*m - 6*m = 0.\nAnswer: -6, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 3*h - 3. Let l be k(-3). Suppose -a + 10 - 3 = -3*i, 2*a - 5*i - 10 = 0. Put l, a, 2, 3 in descending order.\nAnswer: 3, 2, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3\/2 (b) -1483092\/5 (c) -119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-750)\/(-200))\/(((-21)\/8)\/(-7))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1906494 is divided by 820?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 23*w**8\/336 - w**5\/60 - 14*w**3\/3 + 39*w**2. Find the third derivative of v(g) wrt g.\nAnswer: 1380*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q**2 + 1915. Let h(l) = -4*l**2 + 1916. Let n(o) = -3*d(o) + 4*h(o). Is n(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l - l**3 - l**2 + 12 - 7 - 2*l - 2*l**2. Calculate s(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t - 9*t - 2*a = 12, 0 = 8*t + 2*a - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 953098967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 198 = -39. Suppose -54*u + z*u = -178. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -0.208463?\nAnswer: -0.208463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -456, -1068, -1668, -2250, -2808, -3336, -3828?\n\"Answer: w**3 - 619*w + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14\/937 + -2084\/14055. What is the nearest to 2\/3 in 6, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 9*o**2 + 8*o - 5. Let r be p(-10). Let c = -9 + r. Suppose f - 20 = c*f, -5*n + f + 59 = 0. Calculate the remainder when 32 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80834.\nAnswer: 2, 13, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6600 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1658 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27836 is divided by 1108?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -189 at least 128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 127 = -5*x. Suppose 4*l + u = 114, 4*u = -4*l + 100 + x. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.35025074 to two dps.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-855)*-87 - 0. Let j = 3\/19 + r. Suppose 2*n = -n + 5*v - 9, -2*n + 2*v - 2 = 0. Put 0.3, j, n, -0.1 in increasing order.\nAnswer: -0.1, 0.3, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1471488.6218902 + 1471489. Let w = m - -35.6215502. Let o = w - 36. What is o rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -470, -762, -1052, -1340, -1626?\n\"Answer: s**2 - 295*s - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*l - 20, -4*l - 26 = 2*g + 4. Let s(o) = 2*o + 4. Calculate s(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/3, -1\/12, 2, -5?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, -3\/4, 0.0238, -0.2, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 650941 greater than or equal to 1\/66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 0, -6*c + 4*c = -3*w + 30. Suppose 0 = h + 2*j - w, 3*j + 45 - 4 = 2*h. What is the lowest common multiple of 10 and h?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.4 and -0.003.\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -22. What is the units digit of (-2)\/(n\/3) - (2 - 19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 3511?\nAnswer: 3506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/7 - 129*c - 8208\/7.\nAnswer: (c - 912)*(c + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 682401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 4*h = 35 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -40 + 44 + 4\/(-2). Solve 3*k = n*k + 3*t + 6, 2 = 3*k - t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9))\/((-10)\/(-60)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127324 is divided by 6360?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-579*1)\/((16\/12)\/(-4)). Suppose -4*n + 3*u - z = -7*n, 2*n = -5*u + 1164. List the prime factors of n.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.59 + 9.5. Let s = 1.01 - h. What is the third biggest value in 1\/4, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75657 by 25219.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -30\/76057?\nAnswer: -30\/76057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -694, -695, -696, -697?\n\"Answer: -k - 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1883, -1885, -1887, -1889?\nAnswer: -1891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*q - 84 - 201, 0 = -2*j + 2*q + 114. Let s(z) = 14*z + 0*z**2 + 27 + 9*z - j - z**2. List the prime factors of s(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -46.5 from -1387.\nAnswer: -1340.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, u: 5, d: 7, m: 5}. What is prob of sequence guu?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -u + 12. What is the smallest value in -1, 3, -0.3, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 1 - 2)*(-2*i + 3*i - 2*i)*(30*i - 27 + 27).\nAnswer: -210*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-3))\/(35\/21).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17192960 divided by -37376\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -194 + 860. Let o = 963 - j. What is the highest common divisor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*g + 3*q, 7*g = 6*g - 4*q + 7. Let j(r) be the second derivative of 0*r**2 + 0 + 0*r**g + 3*r - 1\/42*r**4. Factor j(y).\nAnswer: -2*y**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 4*x**2 - 2*x + 1. Let r be k(-3). Let j = 4 - 9. Sort r, j, 2 in descending order.\nAnswer: 2, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 116 and 117 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166542, 166545, 166548, 166551?\nAnswer: 166554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 9016 = -4*m, 2*n - 12064 = 4*m - 3072. Let p be (m\/(-12))\/5*11104\/3. Round p to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -175, -334, -491, -646, -799, -950?\n\"Answer: s**2 - 162*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 - 12*p - 22. Let v be i(-6). Let k(c) = 4*c**2 + 28*c. Let h(g) = 21*g**2 + 141*g. Let a(w) = v*k(w) + 4*h(w). Factor a(u).\nAnswer: -4*u*(u + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.577 - -0.077. Let d = -1.5 - p. Which is the nearest to 11? (a) -5 (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.309 times 4\nAnswer: -1.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -32.4. Let o be ((-30)\/20)\/((-6)\/20). What is the nearest to 0.2 in k, o, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124371894 is divided by 1062.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 45\/2 of a second?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhdhhhhhhhhhhhhhhhh. Give prob of picking 1 d and 1 h.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 210335733 to the nearest integer?\nAnswer: 14503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(2*r - 2*r + r + (-1 + 1 + 4)*(3*r + 0*r - 4*r) - 3 + r + 3) + (2*r + 0*r - r)*(-4 + 5 + 1) - 7 + 7 - 3*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from bbjbbbbbbbbbjbhjb.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/71)*d\/(d\/(d**(-4)*d))*(d**23)**4 assuming d is positive.\nAnswer: d**(6321\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x. Let y(p) be the second derivative of -53*p**3\/6 - p**2 - 12*p - 3. What is y(c(s))?\nAnswer: -53*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (832\/(-16))\/260*-115?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**2 - 30*z - 20. Let c be l(11). Solve c*i - 18*i = 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 166*c*g**3 - 4*c + 592*g**3 - 23472 wrt g?\nAnswer: 498*c*g**2 + 1776*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 799 + 17 = 12*s. Suppose 16*j - 12 = s. Solve 25 = -0*h + j*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/25 (b) 4.765 (c) 78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5897515859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 379 (base 10) to base 6\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9380824.\nAnswer: 2, 47, 61, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/30 - 28672\/56640. Let v = b - -228\/295. Let -v*h**2 - 1\/5*h**3 + 13\/5*h - 2 = 0. Calculate h.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-21)\/(-98))\/(-2 - (-3)\/2). Suppose 4*n = 5*o + 16, -2*o - 3*o - 17 = -3*n. Which is the smallest value? (a) 2 (b) o (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**2 - 19*x + 65. Let c be 12\/9*15\/(-2). Let z = 13 + c. Calculate the remainder when h(-8) is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 809463432 to the nearest one million.\nAnswer: 809000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4067 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/21 > 58054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 134745*c. Let j(z) = 2*z**2. Calculate v(j(g)).\nAnswer: 269490*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -230870*c + 6926097. What is w(30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-8 - 3) + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1947)\/396)\/(-59)*(-1)\/(1\/(-4)). Sort j, -0.5, -231, 2 in decreasing order.\nAnswer: 2, j, -0.5, -231","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**5\/20 + 11*p**4\/12 + p**3\/3 + 10*p**2 - 6*p. Let n be s(-11). Let t(b) = -b**3 - b**2 + 2*b + 3. Determine t(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and (-1422)\/(-20) - 2*((-606)\/(-120) - 5).\nAnswer: 2343","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436473539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 21 + -6 - (1 + 1 - 8).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36395 divided by 7279.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 374411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1928a (base 12) to base 4\nAnswer: -20331022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 11. Suppose 3*x + 2 - 23 = f. Find the third derivative of -43*n**3 + 18*n**3 + 18*n**3 + x*n**2 wrt n.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/s**(-11\/3))\/s*s)\/s**(-1\/4) assuming s is positive.\nAnswer: s**(83\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-11 - 12) + 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4153 - -21?\nAnswer: -4132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35811 and -0.2?\nAnswer: 7162.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10426352076 to four dps.\nAnswer: -0.1043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3084987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10580737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2512 by 1343.\nAnswer: 2512\/1343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -2. Let p be 66\/15 - a\/(-15). Let d(b) = -b**3 + 6*b**2 - 5*b + 2. List the prime factors of d(p).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2333*q**4 + 35964*q**3 + 300778481*q**2?\nAnswer: -55992*q + 215784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l + 2. Let i(d) = 5*d + 2. Determine -5*f(a) + 4*i(a).\nAnswer: -5*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(270\/(-2080))*6\/8. Calculate the greatest common factor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*p = -8, -5*o = -6*p + 3*p + 11. Let j = -42127\/22 + 1914. Find the common denominator of o\/6 - 71\/24 and j.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 0 - 7*m**2 + 3*m + m**3 - 6 + 4*m - 3. Let d be o(6). Let z be (-2 - d)\/(1\/21). What is the greatest common divisor of 14 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 30*x - 191. Let k be m(-23). Suppose 7*o = 3*a + 6*o - 771, 0 = 4*a - o - k. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 6*d**2 - 28*d - 14. Let v be y(6). Let h = 318 - v. What is the highest common divisor of h and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39370576*d**5 - 909*d + 232 wrt d.\nAnswer: -787411520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 155, -2, -4, -1 in increasing order.\nAnswer: -4, -2, -1, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/30)\/(2\/(-10)). Suppose -v*h + 128 - 30 = 0. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 348*q**4 - 8064*q**3 + 21168*q**2 - 4*q**5 + 50727 - 50727.\nAnswer: -4*q**2*(q - 42)**2*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2057) - (sqrt(2057) - (sqrt(2057) + -1)) - sqrt(2057)) - (3*(sqrt(153) - (sqrt(153)*3 + sqrt(153))))\/sqrt(9).\nAnswer: -3 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 1261576704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -0*b + 4*b + 116, -3*b - t - 87 = 0. Let k = b - -46. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -16588842 = -16588843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -731*z**2. Let y(q) = -367835*q. Calculate o(y(j)).\nAnswer: -98906191261475*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0100566992 rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2358 minus 109517?\nAnswer: -107159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from {d: 6, r: 2}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**5 - m**4 + m**4 + (2 - 3 - 1)*(4*m**5 + 0*m**5 - 3*m**5) + 0*m**5 - m**5 + 2*m**5 + 0*m**5 - 3*m**5 + m**5 - 67*m**5 - 8 - 12 + 2*m + 70*m**5 + 1.\nAnswer: -4*m**5 + 2*m - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - -28) + 35 + 14.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 7 + 5. Let d be (-3 + z)*(-1 + 4). Let r be 2\/d - 201\/(-9). Calculate the greatest common factor of r and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20 or 50799?\nAnswer: 50799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.4 - -6.2. What is the third biggest value in v, 0.3, 7\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/84603 and -13\/8.\nAnswer: 676824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 4 = -g, -3235*g + p + 29 = -3234*g + 40 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 33032015?\nAnswer: 16516007.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 10:59 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139758 - 287*j**2 - 139758.\nAnswer: -287*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 5, 1\/10, 0.3 in decreasing order.\nAnswer: 5, 0.3, 1\/10, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 14*t + 259. Let d(j) = j**3 - j**2 + 32*j - 85. Let m be d(3). Is y(m) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3)*z\/z**(2\/3))**(1\/3))**(-10\/11) assuming z is positive.\nAnswer: z**(80\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78879 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-4)\/48*8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 16, -4*i + 2019 = 5*s - 1441. Suppose -2*k - t + 159 + 195 = 0, 5*t = 5*k - i. Suppose -4*u + k = -408. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6750060936 rounded to two decimal places?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*((-8)\/(-10))\/(-2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1.7. What is the closest to 1\/2 in -1, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-926)\/(-6) + 2 - (-7)\/(-21)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d - 2*d + 7*d - 7*d - 8*d. Let c(p) = -8*p. Let t = 11 + 2. Suppose 4*s = -3 - t. Determine s*c(r) + 7*n(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((-1 + sqrt(2736))*4 - (sqrt(2736) - (-1*sqrt(2736) - sqrt(2736)))*4)*5*-3)**2.\nAnswer: 184320*sqrt(19) + 39402496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + n + 14 = 2*o, 0 = 4*n + 16. Suppose 12 = -3*a + o*a. Let j be (44\/(-3))\/(2\/a). Calculate the highest common factor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/2 - 1023*k + 206271\/2.\nAnswer: 3*(k - 559)*(k - 123)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -144 bigger than -143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 4*k**2 - 4*k - 5. Let w(q) = q**3 + 10*q**2 - 12*q - 21. Let a be w(-5). Let x = a - 168. Determine o(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 954 - 565. List the prime factors of o.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 8 + 6 - 779*j + 1531*j - 3 - 3 - 789*j.\nAnswer: -37*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**8\/56 + 596*a**7\/21 + a**5\/10 - 31*a**4\/6 + a**3\/2 + a**2 + 887*a + 3. What is the third derivative of n(l) wrt l?\nAnswer: 120*l**3 + 71520*l**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 8 = -2*k. Let t = -79 - -103. Suppose 6*j + t = 2*j. Put k, j, 0 in increasing order.\nAnswer: j, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60700933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 52 + 101 = 2*o, -11 = -2*y + 3*o. Let u(h) = -5*h + 5. Let r be u(7). Let p = -18 - r. Is p < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6660 and 7512924.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 480 = -5*m, 6*m + 383 = 4*j + m. Calculate the remainder when j is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -5. Let r(o) = 4*o**2 + 2*o + 1. Is r(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 298840?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 83563447309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 4*q**2 - 2*q + 4. Suppose 2*y + y + 147 = -3*x, -4*y - 150 = 3*x. Let a = 49 + x. Calculate o(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 735 + 2?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7014007?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 28*w**3 - 261*w**2 - 16. Let k(f) = 18*f**3 - 174*f**2 - 10. Determine 8*k(t) - 5*q(t).\nAnswer: 4*t**3 - 87*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z**3 - 2*z**2 - 2*z - 1. Let l be i(-1). List the prime factors of (l + (-3 - -2))\/((-1)\/(-47)).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*t + 31 - 31 in the form f + k*t and give k.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2082 at most -2080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -v - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 - 25*s - 44. Calculate m(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-225)\/117)\/(374\/14586).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40.09 or -141?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -487\/5 + 8671\/90. Let z be (-70483)\/42 + (-4)\/(-6). Let u = -1631 - z. Find the common denominator of r and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 122 = -b, -5*z - 3*b - 304 = -b. Let o(s) = 2*s**2 + 6*s + 7. Let v be o(6). Let x = z + v. Calculate the greatest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*k = -1096, -v = -3*k + 109 - 387. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o**2 - 9*o - 18. Let k be c(-20). Let h = 145 + k. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28263 divided by -635.\nAnswer: -28263\/635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = -107 - 145. What is the least common multiple of x and 33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 + 3.2. Let x = j - 1.85. Let n = x + 0.0628. What is n rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 64 - 4. Suppose 4*u - 2*u - o = 0. Suppose -a = -x + 27 + u, 5*a = -5*x + 190. Does 20 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17\/14, -21.76, 0.5, 16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 5 = -4*r, -p + 2*p - 2*r = 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, s: 2, f: 2}. What is prob of picking 1 o and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*z**2 + 0 - 2 + 2.\nAnswer: 33*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 5*h**2 + 8*h - 7. Determine c(-7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 - 30*o**2 - 6*o + 93. Let u be a(15). Let d = -1 + 16. Suppose -6*p + 3*p = -d. Which is smaller: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9831437*4.\nAnswer: 39325748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3*1\/12 - 14192\/(-64).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1435029?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*u**3 - 2*u - 30*u**3 + 0*u.\nAnswer: 76*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19576538?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 39 and -13302.\nAnswer: -13263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/22275 and -119\/90.\nAnswer: 44550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/385 or -1\/3?\nAnswer: 3\/385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 1 - d**2 - 30*d - 4 + 36*d. Let h be p(3). Let f(z) = -3*z**2 - 5*z**2 + 5*z + 5*z**2 + 1 + 2*z**2. What is f(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 308*p - 370*p - 2232 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15436127322 - -25429\nAnswer: 15436152751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-8))\/1*(-9 + -3). Suppose 0 = -w*s - 4*n - 0*n + 3026, 5*n = 25. Factor 6*v**2 - 14*v**3 - s - 2*v**5 + 10*v**4 + 1002.\nAnswer: -2*v**2*(v - 3)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59723?\nAnswer: 59723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4324, -978, 2368, 5714?\nAnswer: 9060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i + 5*i - 5*i + 9*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 467, 478, 503, 548, 619, 722?\nAnswer: 863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**2 - 4*v**2 + 4*v**2 - 174*v + 291*v.\nAnswer: 5*v**2 + 117*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 44*v + 20. Let f be u(-9). Let g be (-70)\/f - (-10)\/(-40). Is 1 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 4:31 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.34045 + 0.34. Round l to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -109, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -399\/4 + 295\/3. Find the common denominator of o and -41\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -25. Find the common denominator of 143\/252 and (-21)\/20*(-51)\/d.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -12*f - 5. Let y(v) = 2*v**3 + 6*v**2 + 19*v + 54. Let j be y(-3). Determine z(j).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/40*((-30)\/(-12) - (-41)\/(-14))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 9*s**2 - 3*s + 29. Let u be o(9). Let m be (-36)\/u - (-42)\/7. Put -4, m, 6 in decreasing order.\nAnswer: 6, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*s = -16, 364 = 5*t + s. Suppose -3*x + 0*x = t. Let f = -5 - x. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 584 divide 58806540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 27. What is the third biggest value in 5, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-15) + 0)*-3 + 2479999. What is q rounded to the nearest 100000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p**2 + 24*p + 1. Let l(m) = 6*m**2 + 19*m + 4. Give 4*h(n) - 5*l(n).\nAnswer: -2*n**2 + n - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8693, 17378, 26063, 34748, 43433, 52118?\n\"Answer: 8685*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (236\/(-31506)*36\/(-16))\/(3\/(-4))?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-6\/17)\/d)\/d)\/(d\/(d**(-15)\/d))*(d*d\/((d\/(d*d\/(d\/(d**(9\/4)\/d)*d*d)*d))\/d)*d)\/(d\/d**(-2\/33)))**(3\/13) assuming d is positive.\nAnswer: d**(-34027\/9724)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/4)*s*s**(2\/11)*s*s**(-2\/15)\/((s**(-1)*s)\/s))**(-29))**(-32) assuming s is positive.\nAnswer: s**(428504\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 4. Suppose 0 = 3*f - 12, -2*o + 3*o - 58 = -3*f. Suppose 0 = -z + 3*z - o. Calculate the remainder when z is divided by n(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/4 - 66\/24) + 39. Suppose 3*w - 8 = -2. Suppose -w*g + 4 = -g. Calculate the highest common factor of g and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -284 - -288. Calculate the common denominator of (3 - (-3843)\/540) + g\/5 and -28\/31.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(4536) - sqrt(4536)*-2) + sqrt(4536))*-4)\/((sqrt(504)*-1)\/(-2*sqrt(700))).\nAnswer: 3840*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4028 and 905293.\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*i + 9*i + 13912, -6*i = -3*o + 41763. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1812 - -2677. List the prime factors of x.\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -g + 2, -981*g = -989*g + 3*j - 21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 = -2*i. Suppose -5*v + t + i = -4, -5 = -4*v + t. Which is bigger: 2\/359 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20033775 to the power of 1\/3, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 13) in base 7?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 16*m = 182 - 28, 5*j = m + 34 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -117*x**5\/4 - 5327*x**4\/4 - 25319*x**3\/2 - 3770*x**2 = 0.\nAnswer: -290\/9, -13, -4\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 11:11 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.179 + 3565181686?\nAnswer: 3565181688.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.9 - 16.9. What is the fourth biggest value in t, 5, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxyxxy. Give prob of picking 2 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.97 + -2.41. Let q = -2.66 + y. Which is the closest to q? (a) 3\/8 (b) 11 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4101, -16364, -36787, -65364, -102089?\nAnswer: -146956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6541 + -511. List the prime factors of x.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**3\/3 + 19*r**2\/2 + 15*r - 1. Suppose 8*f - 820 = -668. Let j be q(f). Solve 3*n - n - 20 = 5*k, n - 5*k = j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, 1, 19, 57, 121, 217, 351?\n\"Answer: o**3 + o**2 - 6*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -67*i**2. Let a(j) = 18*j. Calculate p(a(q)).\nAnswer: -21708*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 25*i**2 + 146*i - 13. What is k(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/93)\/((-86)\/(-1333)). Let l = -3 - 2. What is the closest to q in -3\/7, l, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r - 6. Let c = 26 - 9. Let h = c - 21. What is g(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyj when three letters picked without replacement from {q: 8, t: 1, y: 1, j: 7}.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*k*o**3 + 15*k*o**2 + 173885*k*o - 2*k - 16*o**2 wrt o?\nAnswer: 30*k*o + 30*k - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0186238274 rounded to four dps?\nAnswer: -0.0186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**5\/3 + 70*m**4\/3 + 214*m**3 + 442*m**2\/3 - 1156*m\/3 = 0.\nAnswer: -17, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtjtttbvttjv. Give prob of picking 1 j and 1 b.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3074266 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 5*b + 40, -4*b = 5*u - 48 + 11. Let i = -658 + 662. Solve -m + i = -3*h, -4*h - h = -2*m + u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2214530 (base 6) in base 7?\nAnswer: 642156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -6*w - 34. Let a be q(-6). Suppose 3*v - 2*r - 982 = 0, -a*v - 293 = -3*r - 956. Let l = -214 + v. Is 34 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -25. What is the first derivative of -5 + c + 0 + 0 + 14*z**2 wrt z?\nAnswer: 28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/(-190))\/(3\/6)*-60.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/5, 1\/2, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 3*g**2 + 7*g - 5. Let p be k(4). Let y = -6 + p. Let i(f) = 750*f**3 - f**2 + 2*f - 1. Let b be i(y). Round b to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/234 and -23\/12?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1099.154 and 11013?\nAnswer: 12112.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 44, 92, 160, 254, 380, 544?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 3408*z + 38224424.\nAnswer: -2*(z - 5306)*(z + 3602)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfffuooboblofgl. What is prob of sequence lf?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktywztkvy. Give prob of picking 2 k.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -28*o**3 - 46*o**3 + 3 - 192*o + 33 - o**3 + 285*o**2 = 0.\nAnswer: 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 1 = -2*k + 5*q, -20 = 4*k + 4*q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1326)\/78)\/((-8)\/(-8))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.024858917 - 211492\nAnswer: -211491.975141083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2403112*c**4 - 2624404*c - 1?\nAnswer: 28837344*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 2. Let c be p(-2). What is the third derivative of -3*k**4 - 3*k**2 + 0*k**2 + 7*k**c wrt k?\nAnswer: 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n + 2*n)*(2 + n - 2) + 2*n**2 + 2*n**2 - 3*n**2 + (3 + 3*n - 3)*(36*n + 339*n - 63*n).\nAnswer: 939*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -7. Let g(i) = -7*i**2 - 21*i - 9. Let m(a) = 4*a**2 + 11*a + 5. Let h(n) = t*g(n) + 11*m(n). Is h(5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**3 + 2*a**2 - 4. Let w(f) = -16*f**3 + 9*f**2 - 21. Let t(u) = 11*o(u) - 2*w(u). Let s be -2 + 6*(-63)\/(-54). Calculate t(s).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h + 35 = 0. Let u(d) = -d**3 + 7*d**2 + 4. Let w be u(h). Solve 5*t + 0*p = p + 23, 5*t - w*p = 17 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -12. Let a be 26\/6 - 1\/v. Suppose 2*p = -5*c + 16, -5*c + a*p - 2 = -0. Let w(i) = -2*i**2 - 2. Calculate w(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/171337707 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1475*n**2 + 23500 - 23497 + 0*n + 0*n)*(4*n - 2*n - 5*n) to the form m*n**2 + o*n**3 + c*n + f and give o.\nAnswer: -4425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 6. Let v(f) = -2*f - 10. Let y(q) = -5*i(q) + 3*v(q). Let t(j) = -7*j**2 - 4. Give y(t(r)).\nAnswer: 7*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.4 - -2.5. Which is the nearest to 2? (a) l (b) -2\/7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -27) + -30 + -3 - 14\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 22 = -4*a, -62*a + 57*a = 2*f + 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -a?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**2 + 12 + 13 - 36 + 16.\nAnswer: -8*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b - 21. Let f be x(-9). Let p(h) = h**2 + 6*h + 3. Let m be p(-7). Let j be (14 - 0) + m\/(-5). What is the highest common factor of f and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 9*s + 25. Let h be n(-6). Let q = h - -34. Suppose -t - q*t = -66. Which is the third biggest value? (a) 1 (b) t (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 11*x**2 + 20*x - 15. Let k(l) = 39*l**2 + 60*l - 43. Let n(t) = 14*j(t) - 4*k(t). Factor n(p).\nAnswer: -2*(p - 19)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by 16.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19\/(-2) + (-1)\/2. Let n = d - -43. Suppose 2*c - 43 - n = -4*q, 4*q - 2*c = 92. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 15*i + 13. Let b be z(-13). What is the highest common divisor of 39 and b?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*a = 19, -3*m + 2*m + 5*a = 13. Suppose 0 = 3*p - m + 37. Let j(b) = -4*b - 24. Let y be j(p). Solve 2*l = -2*t - 0*l - 10, y = -5*t + 4*l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 1, k: 2}. Give prob of sequence kf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 - 342*t + 1785. Determine k(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 8 + 3)*(-5*l**2 + 2*l**2 + 0*l**2)*(1 - 1 - 2).\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 15*p**2. Let a(h) = h - 16. Let w(s) = -s + 1. Let d(o) = a(o) + 3*w(o). Let x be d(-6). Calculate j(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 1. Let k be b(7). Let z = -79 + 83. Suppose l + 45 = -5*y + k*y, -y = -z*l - 45. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -1227\nAnswer: 8589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7140, 24268, 52816, 92784?\nAnswer: 144172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 88*g**2 - 369*g + 3901. Calculate x(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -3 (c) -4 (d) -83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 95910 and 273.\nAnswer: 8727810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-21)\/112)\/((-9)\/12)*-18?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 2*f**2 + 7*f + 10. Let h be (6\/(-9))\/(4\/(-12)). Suppose -3*x - 4*v = -4, 0*x = h*x + 3*v - 4. What is the units digit of t(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 147582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*o + 26 = 0, 0 = -9*a + 14*a + 3*o - 36. What is the derivative of 13*k**2 + a*k + 49*k**2 - 5*k - 28 + 8 wrt k?\nAnswer: 124*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46305 and 36315?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412298146?\nAnswer: 2, 13, 61, 19997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 310*u**2 + 575*u**2 + u)*(3*u**2 - 5*u**2 + 0*u**2) + u**4 - u**4 - 2*u**4.\nAnswer: -532*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14663418*q*u**3 - 10928479*q wrt u?\nAnswer: 43990254*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 10*p - 20. Let g(z) = 9*z**2 - 6*z + 3. Calculate the lowest common multiple of 27 and g(p).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4020*m - 4448*m = -10272 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvvaccagva. Give prob of sequence aca.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36 and (-805)\/35 - 2\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38978 (base 12) to base 8.\nAnswer: -227154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177 divided by 19219.\nAnswer: -177\/19219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 4*d**2 - 5*d - 3. Let f(s) = s**3 + 4*s**2 - 4*s + 2. Let c be f(-5). Calculate the remainder when q(c) is divided by ((2 - 1) + 1)*44\/8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 736125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jxjjjjjjjjjjjjjjjj.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2 = -1. What is the units digit of 4 + (0 - (1 - q))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2740056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*x = 0, -9 - 7 = 4*x. What is the least common multiple of 2 and (-3)\/3*3 + u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**2. Let z(c) = -11*c + 17*c - 2*c. What is z(u(j))?\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.28 (b) 0.1 (c) 2 (d) 10791\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 144*2.4301\nAnswer: 349.9344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1149 - -1151. Let t(i) be the first derivative of -9 - 2*i + 7\/3*i**3 + 0*i**c. Find the first derivative of t(p) wrt p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198325501091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 0.3 (b) -1\/7 (c) 0 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.1 + -7.1. Sort 2, q, -11.\nAnswer: -11, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 16) to base 11\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 7:24 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*z + 10, 0 = z - 2 + 5. Suppose 0*j - 20 = u*j. Let o(h) = h**2 - 6*h - 2 + 0*h**2 - 2*h**2. What is o(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i**2 - i + 16. Let u(r) = -3*r**2 - r + 8. Let w be (-2 + 5 + -2)*-2. Let t(o) = w*n(o) + 5*u(o). Calculate t(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t + 18. Let p be o(5). Are -16 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 8*i**2 + 2*i - 9. Calculate the smallest common multiple of k(8) and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16784 and 1584.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85.2 - -85. What is the fourth biggest value in 0, -5\/3, 2, m?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/50*5)\/(-4)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b + b - 12*b + 0*b + 4*b. Let h(l) = 8*l**2 + 4. Let v(u) = 9*u**2 + 5. Let t(s) = -5*h(s) + 4*v(s). Determine i(t(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1584 + 1611. Solve -4*p - g + 47 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-303)\/36)\/((-142)\/6 - -24)\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1058 - 9*t + 2146 - 1114 to v + z*t and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.648 or 3.09?\nAnswer: 0.648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8677679 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/83125 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*a - 33*a + 5741648 = 49*a. Is a a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3808441?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(88)*1 + (sqrt(88) - sqrt(88)*-2 - sqrt(88))*-2)\/((sqrt(32)*-2)\/sqrt(4) + 2*sqrt(512)) + 3 + 0.\nAnswer: -sqrt(11)\/14 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1815 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2275252121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 29705, 17, 13 in decreasing order.\nAnswer: 29705, 17, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6) - 3\/9. Suppose 0 = v - 4*d + 4, 0*v + 4 = 2*v - 4*d. Suppose -f - v*f + 144 = m. Solve -2 = -5*c - 2*l, f = -2*l - 2*l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from kddqtksstkkkhtdqdqqd.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7791267\/16892 - -42\/4223. Let j = 465 - c. Let i = -7 - -67\/3. Calculate the common denominator of i and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -257.141702 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + 0. Let o be s\/(-14) - 1184\/(-112). Suppose -o = -n + 30. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2886483 litres to millilitres.\nAnswer: 288.6483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.00877 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 756*u + 3670. Give f(-3).\nAnswer: 1402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 + -49. Suppose 20 = 4*g - 9*g - 5*k, -5*k + b = 0. Let o(m) = m + 14. Is 3 a factor of o(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 0.08, -5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12.9 (b) 2\/11 (c) 2 (d) 85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*s - s. Suppose f - p - s = 0, 5*p = -2 - 8. Suppose -2*r + 37 = 2*h - r, -3*r = 3*h - 63. Solve -3*i + f = o - 3, -h = -4*o - 4*i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25 - -88451?\nAnswer: 88425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21724484 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -21*u - 73. Suppose 3*k - 16*k = 247. What are the prime factors of b(k)?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11112095 divided by -124855?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*16240\/(-4060)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003356182 to seven dps.\nAnswer: 0.0000336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b - 4*b**4 - 31*b**3 + 32*b**3 + b**5 - 8 + 10*b**2 - 2*b.\nAnswer: (b - 2)**3*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 20*r + 18. Let g(o) = -10*o - 7. What is 4*d(i) + 9*g(i)?\nAnswer: -10*i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2224595040 a multiple of 411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -591, -10754, -27691, -51402?\n\"Answer: -3387*r**2 - 2*r + 2798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18505402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 + -0.97. What is the smallest value in -1\/3, 8, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35\/24 or 1?\nAnswer: 35\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 4*k + 6. What is c(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.004 and -0.2.\nAnswer: 1.0008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/((-1404)\/(-624))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 621*i + 50370 - 35465 = -44711 for i.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 6*o + 2. Let k be n(6). Let 147*i**3 - 148*i**3 - 2*i**2 + 4*i**k = 0. Calculate i.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13151869.15754 + -62750.15643. Let o = v - 13089249. Let p = 130 + o. What is p rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 809\/3 + (-25)\/2175*-29. Solve 228*c - j*c = -168 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 530 - 525. What is the closest to 0 in m, 117, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 166746 and 11?\nAnswer: 1834206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1587*b**2*q**2*v**3 + 2*b**2*q*v + 3*b**2*v**3 - 3*b*q**2*v**2 - 12*b*q*v + 3*b*v + 28*b - q**2 + v**3 wrt v?\nAnswer: 9522*b**2*q**2 + 18*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 12:03 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6872, -4 in descending order.\nAnswer: 6872, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -175207, -175249, -175333, -175471, -175675, -175957, -176329, -176803?\n\"Answer: -2*c**3 - 9*c**2 - c - 175195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + k**2 + 5*k - 2. Let v be s(3). Let g = 11 + -8. Which is the nearest to 0? (a) -1\/3 (b) g (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167635\/2 + (6 - (-50)\/(-20))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x - 4 + 24 = -27*x. Solve -5*j - 5 = 6*p - p, 0 = -x*p - 20 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -55, 174 in ascending order.\nAnswer: -55, -5, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -19*y - 702. Let g be p(-37). Which is the second smallest value? (a) -133 (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95 - 95.06. Which is the closest to -0.1? (a) -208 (b) -1 (c) -1\/6 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7514597, 7514535, 7514473, 7514411?\nAnswer: 7514349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22887 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fldw when four letters picked without replacement from gggdwlf?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*x - 28*x + 291 + 204 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/16)\/(1\/(-2)*(-1623)\/(-2164))?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -121*x + 854. Let n be m(7). Sort -3, -14, n, 9 in decreasing order.\nAnswer: 9, n, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - j. Determine p(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1617 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c + 3 = 0. Suppose -2*d - 38 = -c*d. Does 28 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -205 + 146. Let b = s + 64.7. Let a = b - 5.7216. Round a to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + c. Let y(w) = 2*w**2 - 5*w - 8. Let k(f) = -4*g(f) - y(f). Let j(r) = 1. What is -6*j(b) + k(b)?\nAnswer: 2*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -5815?\nAnswer: 5812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3191 - -3188. Sort m, -2, 2, 24 in descending order.\nAnswer: 24, 2, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4727850 and 2580?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8459 + -8460. Let l = -8 - -5. Which is the closest to 0? (a) i (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -882 or -883?\nAnswer: -882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*u + 3688 - 4008 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6696*f**2 + 22238*f**2 - 7122*f**2 - 7480*f**2.\nAnswer: 940*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*i - i**5 + i + 0*i + 0*i wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 2*w + 7. What is the remainder when 65 + 1 - (12 - 9) is divided by v(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5653 is divided by 25.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = u - 2*u + 23, 0 = 3*u + 4*j - 37. Let a(s) = -3*s**2 + 7. Let o(c) = -3*c**2 + 6. Determine u*o(l) - 6*a(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 245.9919mg?\nAnswer: 245991900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 2) + (38 - 43).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 - 4)*(32*l + 29*l - 48*l - 1).\nAnswer: -117*l + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 8:09 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 500824, 501097, 501552, 502189, 503008?\n\"Answer: 91*v**2 + 500733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pz when two letters picked without replacement from {p: 9, z: 3}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 737082?\nAnswer: 2, 3, 40949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 5:03 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 29696+4\nAnswer: 29700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -4. Let x(v) = -8*v**y - 7*v**2 + 2*v + 6*v**3 + 0*v**3 + 12. Is x(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3368643 (base 10) to base 15\nAnswer: -4681b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 1064*n**2 + 90588*n - 59920.\nAnswer: (n - 214)*(n - 140)*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5*(-8)\/(-16). Which is the closest to -1? (a) -2 (b) u (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1425 - -51067. List the prime factors of a.\nAnswer: 2, 24821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-1650)*5*(-3875)\/15 + 8\/(-36)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 1264998*p**2 + 17709531*p - 61982844.\nAnswer: 3*(p - 421652)*(p - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140680 is divided by 387?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 6*c + 8 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 - -71. Let c be (-35 - -34)*(-1 + -4). Solve -w*s + o - 5 = -s, 0 = -5*s + c*o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35277393 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7566, 15094, 22606, 30096, 37558?\n\"Answer: -t**3 - 2*t**2 + 7541*t + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 2\/3*y**3 - 1\/6*y**6 - 2\/5*y**5 + 0*y**4 + 0*y + 1\/2*y**2 - 33. Factor v(r).\nAnswer: -r*(r - 1)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 3*b - 162. What is the remainder when 5 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -427, 2\/3, -13?\nAnswer: -427","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 112 + -6?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1))**(-2\/31))**(-1\/11) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*n + 83*n - 312300 = 0. List the prime factors of n.\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**3\/3 + q**2 + 14*q + 3. Let r be o(-6). Let m = r + 27. Is m >= -25\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-41640008)\/24)\/(1\/6) - -2. Round r to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -76, -3, 0.51, -1?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 88 + 22 + -73?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 6. Let d(w) be the second derivative of -w**3\/2 - 7*w**2\/2 - 3*w. Let u(z) = -3*d(z) + 4*t(z). Is u(13) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 4. Let u(w) = -1. Let p(f) = 4*u(f) - x(f). Let z(b) = -5*b**2. Give p(z(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -30, -0.4, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*a - 3. Suppose 227467 - 719492 = 3*i + 5*f, 5*i - a*f = -819985. Round i to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s - 134. Let y(d) = 15*d. Calculate h(y(v)).\nAnswer: 30*v - 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*i + 14 = 0, 3*i - 6 = -y + 7*i. Let d be y + 2\/(8\/12). Let g be d\/(-1 + 0\/3). Which is the nearest to g? (a) -2 (b) 0.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**37\/((t**(-3)\/t*t)\/t**(2\/3)) assuming t is positive.\nAnswer: t**(122\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 474314 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1. Let d(x) be the second derivative of 2*x**3 + x**2\/2 - 4*x. What is the remainder when 24 is divided by d(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -11. What is the first derivative of i + 3 + a*i - 5 + i wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 1 + 79*z**3 - 7*z**3 + 4 to the form b*z**2 + x + c*z**3 + u*z and give c.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -118\/25 greater than 2\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 + 13348*g**2 + 26684*g + 13340.\nAnswer: 4*(g + 1)**2*(g + 3335)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/30)*g)\/g)\/g**23*(g*g**8)**(-2\/21) assuming g is positive.\nAnswer: g**(-5017\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -104*g**2 - 6259*g + 369110.\nAnswer: -208*g - 6259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -379, -29, 2, 0, 4.\nAnswer: -379, -29, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.021 * 158.\nAnswer: -3.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21495439*h*v + 11*h + 162288595*v with respect to h.\nAnswer: -21495439*v + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8403492?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2200*h = -93182 + 5182 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 + 70*a + 38. What is the remainder when 73 is divided by c(-23)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/5 + 438*x - 28440.\nAnswer: 3*(x - 60)*(x + 790)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 780 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 391219397 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4*y - 4. Let q(r) = -7*r - 6. Suppose 5*l + s = l - 14, 0 = 4*s - 8. Let b be q(l). What is the greatest common factor of b and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -13*j - 377*y + 379*y, -4*j - 3*y = 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2883 - 2627. Suppose -3 - 36 = -2*g - 5*d, -3*g + 86 = 2*d. Calculate the highest common divisor of g and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -17*m**3 - 10*m**2 - 2*m + 21. Let u be k(9). Round u to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -29*t + 58. Let q be i(9). Let o = 251 + q. Which is greater: -1\/4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*g + 370 - 180. Calculate the lowest common multiple of 745 and g.\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -155115 + -4201?\nAnswer: -203320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (2 + (-756)\/(-48)). Is -14 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21384 divided by 10692?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1946676769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 8*o + 4*p - 44, 5*p - 43 = -4*o. Solve 0 = k - 4*k + o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (193*u - 145*u + 377*u)*((4 + 2*u - 4)*(2 + 1 - 1) - 2*u - 5*u + 4*u).\nAnswer: 425*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*g - g. Let l = 255 - 169. Suppose -2*s = -3*q + l, -67 - 49 = -4*q + g*s. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 89095*g**4 - 1247320*g**3 + 2138140*g**2 + 240*g = 0.\nAnswer: -2\/17819, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599754 is divided by 85625?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (0 - 0))*1. Put f, -5, -35, 5 in descending order.\nAnswer: 5, f, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 + 0.9. What is the third smallest value in -0.4, g, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 23615 + 5393 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in 1\/16, 13, 5, -2\/3, 0.4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1631677 is divided by 271946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*t + 35. Let m = 17 - 5. Let s = m + t. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -3. Let g be (0 + (l - -2))*-1. Let p = -1 - 3. What is the second smallest value in g, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 999396 is divided by 1635.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -b13 (base 14) to base 5\nAnswer: -32143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -2*j, -4*i - 4*j = -32. Let l(h) = -5*h - 9 + i*h**2 + 15*h**2 + 6*h + 11*h. Is l(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 13. Put -3, 3, w, 2\/5 in descending order.\nAnswer: 3, w, 2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-150)*5*(-23)\/(-690).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 173333137 - 105983137. What is c rounded to the nearest one million?\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 4*u + 7*u)*(u - 2*u + 3*u) + (-3*u + 4*u + 2*u)*(0*u + u - 2*u) + 2*u**2 + u**2 + 0*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.18472 + 0.1232. Round b to 3 dps.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247 minus -109134401249?\nAnswer: 109134401002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 5. Solve -5*a = 2*d, 0 = y*d - 0*a - 4*a + 23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u = -28*u - 5. Let v be 15\/(-36) + 2\/3. What is the closest to u in 2, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from suzuhz?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -3*s - 3*a + 182, 2*s - a = -72. Let p = 38 + s. Solve -2*l = j + p*j - 15, -4*l = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.900002 - 0.9. Round r to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2 + 5*i + 1. Let g(f) = -f**2 + f. Let a(j) = -3*g(j) + k(j). Let r be a(-1). Factor -r*l + 0 - 37*l**2 + 40*l**2 + 0.\nAnswer: 3*l*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdqdbbaadbd. Give prob of sequence aad.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4095*l - 6. Let h(n) = 1859126*n - 2722. Calculate -1361*d(j) + 3*h(j).\nAnswer: 4083*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 282184610009.99998923 + -282184612658. Let t = -2648 - i. Round t to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 5:12 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3399, 6800, 10189, 13560, 16907?\n\"Answer: -v**3 + 3408*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 0.15, 2\/7, 2\/5, 7.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004179 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-62269389)\/(-1001) + 4\/(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(11))*-3 - sqrt(132)\/(sqrt(12)*-2)) + sqrt(33)\/(sqrt(3)*1*-1).\nAnswer: -7*sqrt(11)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1891 + 431*q**5 + 897 + 805 + 2*q**2 - 3*q**2 wrt q.\nAnswer: 25860*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 + 3*k - 47. What is the smallest common multiple of t(5) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2294299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + 161\/(-28) - -4)*-4. Let y(l) = -2*l**2 - 3*l - 5. What is y(w)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.04665396 + 0.04654596. Let o = 156 + -167. Let r = s - o. What is r rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5875 by 1175.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(429)\/(-1*sqrt(11)) - sqrt(39))\/sqrt(3).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*k + 5*k + 190 = 0, -986 = -5*i - 2*k. Let a be 3*(4\/3)\/(-2). What is the units digit of a*i\/16*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n = -5*k - 71, 2*k - 64 = -2*n. Let d = -6 - -10. Let t = d - 1. What is the greatest common factor of n and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, t: 3, r: 7}. Give prob of sequence rttt.\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.035968 micrometers in kilometers?\nAnswer: 0.000000005035968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-5)*d)\/(d*d**(-3\/8)*d)*(d**(2\/7)*d)**(-3\/2))**29 assuming d is positive.\nAnswer: d**(-9019\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -232 + 251. Differentiate -2*i**4 - 38*i**4 - 25 - f + 19 wrt i.\nAnswer: -160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2945 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3694 and 6?\nAnswer: 11082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - o**2 - 2*o - 1. Let h be -3 + -3*4\/(-6). Let c be k(h). What is the units digit of 5*c\/((-10)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -591\/10 + 198\/5. Let b = r + 19. Let i = 7 - 2. What is the nearest to b in 8, 1\/2, i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/196150 and 31\/1970?\nAnswer: 38641550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v - 1. Let z be f(5). Let n = z - 9. Let g be n - 0 - (-9)\/(-6). Which is the second biggest value? (a) -2 (b) g (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4728173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14714101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12400\/140 - (-1131)\/2639?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p + 12. Let r be (-64)\/(-10)*(2 + p). Suppose -s = -r - 45. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4787.630867 + 4787.7. What is b rounded to three dps?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -5\/8, 5, -0.21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 25*i - 24*i + 0 - 1.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h**3 + 31*h**2 + 5*h + 12. Let x(k) = -4*k**3 - 16*k**2 - 3*k - 5. Let a(z) = 3*i(z) + 5*x(z). Let w be a(-13). Solve -14*q + w*q = -3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2465276 divided by 86.\nAnswer: 28666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -14 + 4 + -6 - -130 - (7 - -7).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 444553309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -24*i. What is the tens digit of p(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxxx when four letters picked without replacement from xdxxxxxxxddxdxdx.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-8)*t)\/(t*t\/(t\/t**5)) assuming t is positive.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2081 - -2963. Let p = l + -504. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49, 106, 197, 322, 481, 674?\n\"Answer: 17*v**2 + 6*v + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*j = -74*j - 2360 + 10390 for j.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6032663 (base 7) to base 16\nAnswer: -ae58a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 u when three letters picked without replacement from {q: 5, u: 4, t: 8}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -446 (base 16) to base 12\nAnswer: -772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/((j\/(j\/(j\/(j\/(j*j**(-5))))))\/j)*j)\/(j*j\/((j\/j**(-10))\/j)))\/(j*j**11*j*j**(-4\/9)))**(-18) assuming j is positive.\nAnswer: j**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 123 and 1096463.\nAnswer: 3289389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 27. Calculate the common denominator of 79\/6 and (-10)\/9*117\/i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 90.3451ml?\nAnswer: 0.0903451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9881*j + 12 + 9895*j - 29360*j - 12 + 9798*j.\nAnswer: 214*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*-6)\/(sqrt(16)\/sqrt(2)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -1\/24*w**4 + 0 - 1\/3*w**3 - w**2 + 2*w. Factor f(g).\nAnswer: -(g + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from {x: 4, s: 4, r: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3185 and 2327?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 444.4197l in millilitres?\nAnswer: 444419.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 32*g + 81. Let w be s(-33). Let k = w + -495. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*j = -15713 + 6737 for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061329597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2067858047?\nAnswer: 2067858047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (7 + (-13 - -8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4 - 6. Let h be 429\/3718*(0 + (-8)\/6). Which is the third smallest value? (a) 0 (b) u (c) -1\/4 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*x - 2*x**2 + 132 - 17*x - 9*x - 45*x + 255 with respect to x.\nAnswer: -4*x - 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7856)\/96 + (80 - -1)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 177 + -487. Let a = 310.2 + x. Put a, -0.1, -5, -0.8 in decreasing order.\nAnswer: a, -0.1, -0.8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-895*r + 668*r + 1405*r + 2354*r)*(-4 + 1 + 2).\nAnswer: -3532*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = 7*g - 67*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/6, 0, -0.4, -3\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*f - 17. Let k = -6 + f. Find the third derivative of -k*x + 0*x + x**2 + 2*x - 2*x**4 wrt x.\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46498934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 331*t**3 - 290*t**3 + 3*t.\nAnswer: 41*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 23*u + 1. Let s be z(1). Let w = 47 - s. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**2 - 3 + b**4 - b**3 + 0*b**3 - 3*b**4 + 2*b as t*b + m*b**2 + s*b**4 + p*b**3 + v and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(5) - sqrt(405)*1).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 - -55.922. Let q = w + 0.427. What is q rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4}. What is prob of picking 2 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 352930.671 times 4?\nAnswer: 1411722.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 421 and 3435?\nAnswer: 3014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41 in 19, -2, 0.3, -3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(312\/(-56)) - 2\/13. Let v = -31 + 43. Let t = 13 - v. What is the nearest to n in 5, t, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9303 + 9321. Suppose 18 = -5*y - 7, -5*h + 5*y + 35 = 0. Calculate the remainder when f is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 200729, 200728, 200727, 200726, 200725, 200724?\n\"Answer: -x + 200730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1723*h - 1725*h + 3*r = -7*r - 30, 0 = -4*h + 5*r + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 145, -321, -39 in descending order.\nAnswer: 145, -2, -39, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -13 - (0 + 1) - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Suppose -l + 3*v - 4 = 0, -l = 3*v + s*v - 28. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 166972 and 270231.\nAnswer: 20537556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 228096\/(-272160) - ((-2)\/30 + (-12)\/20).\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**5\/20 + i**4\/4 - 7*i**3\/6 - 5*i**2\/2 - 6*i + 8. Determine y(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5126 - 6b4b?\nAnswer: -1a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11808 or 11807?\nAnswer: 11808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/30 - (-4)\/((-180)\/(-18399)). Suppose -5*d - 3*u = -922, 4*d = 5*u + 299 + o. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26278332*t**4 - 8744593*t**2 wrt t.\nAnswer: -630679968*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5062*s**4 + 32*s**3 - 2673*s**2. Let k(z) = 2531*z**4 - 13*z**3 + 1336*z**2. Let o(q) = 2*g(q) + 5*k(q). Find the third derivative of o(w) wrt w.\nAnswer: 60744*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8) - (-75)\/20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -148 + -182. Round w to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 24*d - 44 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -956447?\nAnswer: 1912894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*d + 745 + 160, -4*d - 2*n = -910. Suppose -3*b = 5*z - 140, -4*b = b + 5*z - d. Calculate the remainder when (1 - -3)*b\/6 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77096, 74501, 71906?\nAnswer: 69311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15873 divided by 28?\nAnswer: 15873\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**2 - 2*z + 5. Suppose 4*h + 21 = 9, -g - 5*h - 15 = 0. Let o be b(g). Suppose 0 = -o*a - 123 + 463. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhrrahrhhhahhhh. Give prob of sequence rhrh.\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010 (base 2) to base 12.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.650974 millennia to centuries.\nAnswer: 56.50974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 868690000 to the nearest one million.\nAnswer: 869000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4595 + 13*s**3 + 9*s**4 - s - 10*s**4 + 4592 in the form y*s**3 + g*s**4 + w*s + l + j*s**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 32*r + 40. Let n be 104\/4 - (-2)\/(-1). Let o be z(n). What is the units digit of -248*(-2)\/14 - o\/(-406)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*t + 12*t + 67*t + 67*t - 215*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**3\/3 + c**2 + 6. Let o be p(5). What is the common denominator of 27\/14 and 306\/(-56) + (-10)\/o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 14*l**2 - 2*l - 3. Is g(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5396, 10726, 16000, 21218, 26380, 31486?\n\"Answer: -28*m**2 + 5414*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5 - 6*x**4 - 9*x**3.\nAnswer: -x**3*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 2546043.352?\nAnswer: 2546042.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 105 = 11*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-189)\/(-105)*60\/9)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 8*w**2 - 126*w + 840. What is the least common multiple of a(7) and 340?\nAnswer: 11900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*x + g, -4*x + g + 10 = -3. What is the nearest to 2 in x, -0.5, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 735371?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9\/31, -97, 2\/5, 3, -64.\nAnswer: -97, -64, 9\/31, 2\/5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.064, -0.07, -3?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646406.\nAnswer: 2, 41, 7883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0505033 to 4 decimal places.\nAnswer: -0.0505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10037 + -1715. What is the thousands digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 - t + 1. Let o(l) = 5*l**3 - 2*l**2 - 8*l + 2. Let g(u) = 3*a(u) - o(u). Determine g(-2).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 8*o + 13. Let b be z(10). Let l be b\/(-21) + (-8)\/(-3). Suppose 0 = 3*a + l, -3*p = -6*p - a + 60299999. Round p to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1064966461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-15)\/(12\/(-4)). Suppose -h = -5*t + 3*t. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 5:47 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + -22. Let u be (8 + -3)*(-803)\/r. Put u, 5, 2 in decreasing order.\nAnswer: u, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6*b = 0. Is b less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(-2*t - 3 + 3)*(2 - 2 - t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 989 and 46?\nAnswer: 1978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(324)*-3 - sqrt(324)).\nAnswer: -sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - -21. Let b = x - 40. Let l be 1 + ((-22)\/(-4) - (-37)\/74). What is the greatest common divisor of b and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in 0.34, 0.4, -1\/2, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1126974, 4507920, 10142830, 18031704, 28174542, 40571344, 55222110?\nAnswer: 72126840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1285*s + 3952*s = 1321*s + 1311*s + 560 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = w - 2*o, 5*w + 4*o + 158 = 6*w. Let y = -90 + w. Is y a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 27534\/6894)*3. Which is bigger: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8022951.\nAnswer: 3, 891439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 28 = -z - 18*z - 3 - 27, -26 - 4 = -5*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from ccmjjmxbmmxmjjsj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -120, -204, -388, -708, -1200?\n\"Answer: -6*x**3 - 14*x**2 - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*(sqrt(468) + 2*sqrt(468))*4*-6)**2*2.\nAnswer: 393030144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -31, -0.2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 539 + (-1)\/((-13)\/(-143)). Calculate the highest common factor of x and 1716.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36147 and 0.5?\nAnswer: -18073.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3586, 3588, 3590, 3592?\n\"Answer: 2*z + 3584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s**(-11)*s)\/s)**(1\/5)\/(s**12)**(-9\/2) assuming s is positive.\nAnswer: s**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - a - 195 = 0. Calculate the greatest common factor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 191444224111 and -271.\nAnswer: 191444223840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 5*r = 19, -250*b + 4*r - 60 = -254*b for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 6. Give z(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/(-14) - -1)\/((-39)\/(-286)). Let u(j) = -j**2 + 14*j - 23. What is u(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1680.638094 to one decimal place.\nAnswer: 1680.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a + 4. Let p = -42 + 39. Let n be r(p). Let m be (0 - -2 - -3) + -4. Let o(j) = 3*j**2 + 2. Let g(c) = c**2 + 1. What is m*o(u) + n*g(u)?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/2 - 543*l**3 - 147966*l**2 - 293764*l.\nAnswer: -l*(l + 2)*(l + 542)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3743159 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 841 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 2.5. Let u = 0.7 + -0.2. Let q = k - u. Which is the biggest value? (a) -1 (b) q (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1073974945?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.08 (b) 2 (c) -393 (d) -2 (e) 0.1 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 4 + -3 + 33. What is the second derivative of 28*y**2 + 11*y**2 - 2*y**2 - i*y wrt y?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 402 and 22?\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -58 (c) 10 (d) -1\/46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(3\/8)\/g)**33*g**(1\/43)\/g**(4\/5))**33 assuming g is positive.\nAnswer: g**(-1214763\/1720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097 at most as big as 1095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 113*z - 13. Suppose 0 = 51*u - 40*u - 22. What is the units digit of q(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -271, -1, 12 in increasing order.\nAnswer: -271, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.6056968*-0.4\nAnswer: -0.24227872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-351)\/10935*-30*-3\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45449.23 milligrams in nanograms?\nAnswer: 45449230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 5*q + c, 3*q - 5*c - 39 = 9. Calculate the lowest common multiple of q and 38.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 85\/15 + -5 - 187\/51. Which is the third biggest value? (a) 1 (b) 1\/15 (c) -5 (d) 1\/4 (e) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1302201 (base 4) to base 10.\nAnswer: -7329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2841 is divided by 2\/(-9)*(21\/(168\/(-5792)) - -13)?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 241 - -7759. What is v rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**3\/4 + 52365*j**2\/4 + 57067986*j - 514672812 = 0. Calculate j.\nAnswer: -8732, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**3 - 3*h**3 - 3240*h - 1 + h**2 + 6457*h - 3261*h to the form b + j*h + q*h**2 + f*h**3 and give j.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1679*l = 1568*l - 2331 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -263, -595, -1035, -1637, -2455, -3543?\n\"Answer: -9*f**3 - 269*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 1702*s + 254. Does 20 divide j(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67997 is divided by 2533.\nAnswer: 2139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**7\/6300 - t**6\/225 - 4*t**5\/75 + t**4\/24 - 4*t**2. Let q(f) be the second derivative of k(f). Factor q(b).\nAnswer: -2*(b + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f - 3*f + 3*f)*(-3 - 2 + 4) + 0*f + f - 2*f + (0*f + 3*f - 2*f)*(-11 + 54 + 45) + 3*f + f - 2*f to k + z*f and give z.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7804891?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 4*y**2 + 1. Let g be q(-4). Suppose -14 = 12*h - 2. Sort 17, g, h in increasing order.\nAnswer: h, g, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112012 (base 3) in base 4?\nAnswer: 11333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -12*y**3 + y**2 + 3*y + 2. Let n be r(-1). What is the third derivative of -5*a**3 + n*a**2 + 9*a**3 + 3*a**3 wrt a?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 6*c**2 - 6*c - 1. Let p be z(-5). Suppose 3*q = -p - 14. Let y(x) = -2*x + 2. Let m = 24 + -13. Let d(v) = -v + 1. Calculate m*d(k) + q*y(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 13*p + 19. Let g = -207 + 198. Let b(l) = -2. Let n(h) = h - 3. Let k(c) = g*b(c) + 4*n(c). Give -2*j(y) + 7*k(y).\nAnswer: 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -408868 and -3679816\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s*s*s**(2\/17))\/s*s\/s**(-1\/6)*(s\/(s*(s**(-3)\/s*s*s)\/s))\/s**(-2\/9) assuming s is positive.\nAnswer: s**(1991\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4936493 and 1876?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -7.4.\nAnswer: -7.4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/5*(-6)\/126?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -12 - (-1 - 0 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**4\/12 - i**3\/2 - 5*i**2\/2 - 2*i. Let l be a(-4). What is the derivative of -w**2 + l + w**2 - 22 - w**2 wrt w?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 9*k + 2. Let h be p(-6). Suppose 3*m - 44 = -2*w, 0 = 4*m + m - h. What is the highest common divisor of w and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88b4 (base 12) to base 5.\nAnswer: 440422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2043284118.\nAnswer: 2, 3, 41, 2347, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*w = -2271, -g - 4*w = -341 - 391. Suppose 22*a - 1250 = g. List the prime factors of a.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from emhhttdtheh?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*y = 112*y - 2780. Let m = 561 - y. Calculate the highest common divisor of m and 185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1536, 3079, 4628, 6183, 7744, 9311?\n\"Answer: 3*h**2 + 1534*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28971 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 158026*q**3 + 1936*q**2 + 3872*q - 1936. Let s(z) = 245*z**3 + 3*z**2 + 6*z - 3. Give 1936*s(w) - 3*t(w).\nAnswer: 242*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -6. Solve u = -u + f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from odcwcwnz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2009.27 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*p = -4*p - 824, 5*p = 20. What are the prime factors of u?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-4 + (-9)\/(-3)). Let a be j - (-4)\/3*3. Let h be (40000\/(-3))\/a*3240. Round h to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 705646, 705685, 705724?\n\"Answer: 39*t + 705607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.43 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 1. Suppose d = k*d - 36. Let w(f) = -2*f + f + d - 8. Calculate w(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**5\/7 + 9*x**4\/7 + 48*x**3\/7 + 36*x**2\/7 = 0. Calculate x.\nAnswer: -2, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 320 + -319. Let s = n - 0.7. Which is the closest to 10? (a) s (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 8) to base 9\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 11 - (7 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -5*b**3\/3 - 2. Let g(t) = 4*t**2. Give z(g(p)).\nAnswer: -80*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.042 * -4230.\nAnswer: 177.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 118420 + -4283?\nAnswer: 114137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 - 11*w + 6. Let o be z(4). Let g(m) = -65*m**3 + 12*m**2 - 19*m - 10. Let l be g(o). Round l to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k + 412 = -u - 24*k, -11*u + 4*k + k + 28 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5109 + -5108.8. Put 5, 3, k, -0.1, 3\/2 in decreasing order.\nAnswer: 5, 3, 3\/2, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3723 by -519.\nAnswer: 1241\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 34811788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (66\/143)\/(-19*(-42)\/148694)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**7\/2100 + p**6\/900 + p**5\/300 - p**4\/60 + p**3\/3 - 2. Let r(q) be the third derivative of g(q). What is s in r(s) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*y - 15481 = 0, 3*m - 4*y - 13916 - 9309 = 0. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from dqcgdqqvqqqvvqggcd?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49348, 49343, 49342, 49345, 49352?\nAnswer: 49363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*j + 70*j + 3*m = 3, 5*m = j + 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-30) + -9 + (-83525)\/(-4251) - 10?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 9:45 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -28502?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16342 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 6*z - 5. Let q be v(-4). Suppose 3*n = -2*n + 10. Determine a so that -2 - a**2 - n*a + a**q + 3*a**2 + a = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32910641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34180306487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 191 = 2*i, -i = -5*a + 2*i + 293. Suppose a = 4*x - 35. Find the second derivative of -5*s + 4*s + s**4 - x*s wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712703625 a multiple of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + 2 + 2 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 9. Let h be b(-10). Let l = 12 + h. Let z = -2 - l. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*v**2 + 8*v**3 + 20*v**2 - 33*v**2 - 8*v**2.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/2)\/((-3)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 58, 1012, 1, -5, -1\/11, 1\/580?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6\/(m**(-4)\/m))\/((m**(1\/4)*m)\/m*m*m**(-4))*(m*m**(-2\/7)*m)\/m*m**(1\/5)*m**(-2)*m**(-2\/5) assuming m is positive.\nAnswer: m**(1717\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -67 + 56 - (1 + 50)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u**4 + 4. Let z(c) = 6*c**4 - 3. Let t(k) = -5*n(k) - 6*z(k). Differentiate t(q) with respect to q.\nAnswer: -44*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 11. Suppose 4*s - 5 = 5*n, 3*n - l*n = -3*s. Let q(v) = v + 5. Determine q(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -152\/5 (b) 5 (c) -1 (d) -0.22 (e) 6.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/14)\/((-1)\/(-112)). Let z be (-2)\/3 + n\/(-6). Let v(m) = m**3 + 10*m**2 + 5. What is the remainder when 8 is divided by v(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277 = -3*o + 1078. Suppose 3*w - 3 = 2*w. Suppose -o = w*a - 6*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(-8*t**3 - 16*t**2 + 16*t**2).\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286 - 20*a**3 - 41 + 327.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 915902.4ms to nanoseconds.\nAnswer: 915902400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/21882 and 103\/666.\nAnswer: 2428902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 = 71*s - 67*s + 5*r - 0*r, r = -3 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 0)*(-3275*p + 3275*p - 115*p**2) to w*p + t + d*p**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2361534 (base 7) to base 11.\nAnswer: -195a49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 947.326 to the nearest ten.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -299*a*g*n + 86*a*g + 16*a*n - a + 34*g*n + 4*g - 513*n + 690 with respect to g.\nAnswer: -299*a*n + 86*a + 34*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1095239922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3372 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9884\/14835 + 2\/4945. Which is the fourth biggest value? (a) x (b) -2\/97 (c) 1\/6 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 297\/4 + -611\/12. Let a = g - 23. Let z be (-2)\/4 + 0\/(-2). What is the nearest to -0.1 in a, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q. Let c be z(-2). Differentiate -32*m**c - 50*m**4 + 0 - 20 + 69*m**4 wrt m.\nAnswer: -52*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 14462*b - 433900. What is z(30)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 3*m - 3. Let f be k(-1). Let o be (f\/(-3))\/(3\/(-513)). Suppose 0 = -i + o - 3. Is 25 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/20479 + -532433\/143353. Calculate the common denominator of o and 10\/153*-6*4.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2790728 is divided by 79?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8*r**2 + 936*r - 4463. What is p(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 12:10 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 0 - 1\/21*c**7 + 0*c**6 - 11\/12*c**4 - 3\/2*c**2 + 0*c**3 - 3\/10*c**5 - 67*c. What is the third derivative of i(p) wrt p?\nAnswer: -120*p**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 0*x**2 + 1\/3*x**3 + 0*x + 220. Let t(f) = 11*f**2 - 15*f. Calculate u(t(k)).\nAnswer: 121*k**4 - 330*k**3 + 225*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/8864 and -9\/1528.\nAnswer: 1693024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5548020 and 50486982?\nAnswer: 504869820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -52, -93, -124, -145, -156?\n\"Answer: 5*g**2 - 56*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*o**5 + 2\/5*o**3 + 0 + 6\/5*o**2 - 6\/5*o**4 - 4\/5*o = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17483920 or -17483923?\nAnswer: -17483920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/24 and 91\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 41, -2, -5 in increasing order.\nAnswer: -5, -2, 16, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b. Let z be a(-2). Suppose -3*r - 30 = -0*r. Let q = z + r. Solve -3*c + q*c + 1 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(-1*sqrt(11)) - sqrt(250)\/sqrt(2).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 16 = 4*u + 8*n, 5*u = -2*n + 27. Let q be 10\/(0 - u)*3. What is the nearest to 4 in -1, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 20. Let z(l) = 1 - y + 2*l + 2 + 2. Give z(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11986*j**5 + j**3 - 2*j**2 + 2*j - 5298 wrt j?\nAnswer: -719160*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1665*z = 4379*z - 30654 + 800 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 14. Suppose 5*t + 65 = 5*a, 0 = -h*a - t + 3*t + 52. Suppose 120 = 2*n - 88. What is the highest common divisor of n and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534 less than or equal to 1524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83180076.\nAnswer: 2, 3, 7, 990239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 5, -32, 2223 in decreasing order.\nAnswer: 2223, 5, 1, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28331513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(15\/(-4)))\/((-21)\/(-15))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2681*a + 21931. What is g(8)?\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 2)*(-1 + 2 - 2)*(183 + 78*d**2 - 183) to the form k + l*d**2 + m*d and give l.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 689 - 1234*i**3 - 539*i**2 + 68*i**2 - 690 wrt i.\nAnswer: -7404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 28*c + 108. Let r be q(-8). Let a = 112 + r. What is the second smallest value in 0.3, -3\/5, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p. Let j(f) be the second derivative of -119*f**4\/12 - 14*f - 8. Determine j(o(v)).\nAnswer: -119*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 3 in decreasing order.\nAnswer: 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 324*t**4 - 25*t**3 + t**2 + 18*t - 1633291?\nAnswer: 1296*t**3 - 75*t**2 + 2*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*j - 90*j + 4*n - 20, 59*n = -3*j + 52*n + 35 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((2 + -2)*-1)\/1. Suppose -3*x - 2*u - 14 = b, 4*x - 2*u - 4 = u. Does 12 divide (x\/4)\/(1\/(-52))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2776*w = -3236*w + 23000 for w.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 h when four letters picked without replacement from {z: 3, h: 4, u: 5, i: 7}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence si when two letters picked without replacement from {q: 1, s: 6, i: 5, v: 3, j: 2, n: 2}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -7*u**4\/5 + 6241*u**3\/5 - 1389736*u**2\/5 - 596748*u\/5 = 0.\nAnswer: -3\/7, 0, 446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2955, 27, -21, -1\/7, 0?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.44375l in millilitres?\nAnswer: 71443.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -385 and 264984?\nAnswer: 265369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/136656660 and 85\/132.\nAnswer: 1503223260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*q**2 - 113*q**2 - 116*q**2 + 347*q**2 - 41442*q.\nAnswer: -q**2 - 41442*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 203.84 - 1108.14. Let s = 904 + j. Put s, 1\/3, 1\/15, 4\/3 in descending order.\nAnswer: 4\/3, 1\/3, 1\/15, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnzz. Give prob of sequence nn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-3)*(-1 - 2). Let y(k) = 1633*k - 27766. Let n be y(17). Put -3, f, n, 0 in decreasing order.\nAnswer: 0, -3, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 + 1)\/(-3 - -2). Let l(d) = d**2 - 7*d - 10. Let n be l(9). What is the highest common factor of n and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 137 = -67. Calculate the highest common divisor of 140 and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -3 (b) -7 (c) -1\/6 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*v + 7, 4*v = -z + 37. Solve -z*x = -18*x + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 990 + -647. 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 fifth biggest value in 1\/11068, -5, -4, 5, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*h**2 + 11*h**2 - 12*h**2 as r*h**2 + z*h + j and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, v: 3}. What is prob of picking 1 c and 1 v?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 9:17 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/32*1*(-8)\/(-4).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-35) - (-801)\/210. Let o = -23\/5 + d. Let z be (-8)\/((-112)\/35) + 14\/(-6). What is the nearest to o in -0.4, z, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140\/3*w**4 - 77\/3*w + 25\/3*w**5 + 52\/3*w**3 + 130\/3*w**2 + 10\/3 = 0. What is w?\nAnswer: -1, 1\/5, 2\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 w when three letters picked without replacement from {x: 2, b: 8, w: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*y**4 + 156*y**3 - 2*y**2 + 52*y - 4 wrt y.\nAnswer: 432*y + 936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + n**4)*(3 - 1 + 0) - 7*n**4 + 8*n**4 - 2 + 5*n**4.\nAnswer: 8*n**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1439666.\nAnswer: 2, 719833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -8*o + 18. Let s(b) = -4*b + 9. Let n(p) = -2*j(p) + 5*s(p). What is the derivative of n(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 7*y**2 + y + 4. Suppose 0 = -0*q - 2*q - a - 10, 0 = 5*q - 2*a + 16. Let l(w) = -w**2 + 2*w. Let d be l(q). Let h = d + 17. Determine u(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by 1424\/(-267)*(-3)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 + 92*i + 619. Calculate h(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1 + 1 - 2*b**2. Let f(o) = 10*o**2. Let z be f(-1). Let m(u) = -10*u - 3*u**2 + z*u. Calculate m(k(d)).\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 0.2.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 4*g + 11. Let x be n(6). Let o(m) = -6*m**3 - 5*m**2 + 5*m. Let f(l) = l**3 + l**2 - l. Calculate x*o(u) - 5*f(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 491, 361, 143, -163, -557, -1039, -1609?\nAnswer: -2267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 359438957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 101, 161, 237, 335?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**2 - 3*v**2 + v**2 - 2*v. Calculate the remainder when 45 is divided by d(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 0.7. Let j be 50\/48 + 8\/(-12). Let u = j + -19\/40. Sort -0.01, u, t in descending order.\nAnswer: -0.01, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -307 - -312. Which is the nearest to 1? (a) -0.8 (b) r (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/(q*(q**2\/q)\/q*q*q*q))\/q))\/q)**(-2\/41)*q**7\/(q*q**(2\/13)) assuming q is positive.\nAnswer: q**(3012\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*b**2 - 63*b**2 + 171*b**2 + (1 - 2 + 4)*(-4*b**2 + 5*b**2 - 3*b**2) + 0*b + 0*b - b**2 to y*b**2 + x + t*b and give y.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -290 + 1161\/4. Which is the nearest to 4? (a) -9\/5 (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.922 - 0.168. Let p = -0.09 - k. Sort -5, 0.1, p in ascending order.\nAnswer: -5, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*t - 3. Suppose 0 = -2*p + t*r + 50, 5*p - 176 = 2*r - 51. Calculate the remainder when p is divided by -2*((-2)\/4 + 6*15\/(-30)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 24642373.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 7*y**2 + 3*y - 2. Suppose 5*k - 4 = -a, 1 = -3*a - 4*k - 9. Let d be m(a). Let w be 6 - (1 + 1 + -1). Solve -i + w*i + d = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*l = -4, l + 3*l - 12 = 0. Let m = -8 + z. Let i be 2\/(-3)*m\/2. Solve 10 = i*j + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*t - 80 = 0, -5*t + 2 = 22. What is the highest common divisor of 48 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1. Let k(g) be the first derivative of -8*g**3\/3 + 3*g - 1. Let j(m) = 3*i(m) - k(m). Let s(q) = 2*q. Determine s(j(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126537659\/435 + -290891. Find the common denominator of m and -14.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 837 + -1175. Suppose -5*p + 134 = -4*j - 69, 0 = p - 4*j - 47. Is (1 - 4)*d\/p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 57, 14348 in descending order.\nAnswer: 14348, 57, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a - 4 = -13*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -15*z**3 - 6*z**2 - 44. Let i(m) = -m**3 - m**2 + 1. Let c(g) = -6*i(g) + n(g). What is the derivative of c(b) wrt b?\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u = -525080 + 525190 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z**3 - 3*z**2 + 4*z + 4. Let g(r) = r**2 + r + 2. Calculate the lowest common multiple of g(0) and o(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y**2 - 2*y + 27. Let c be l(-6). Let p = -78 - c. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 665 and 14385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = 4*j + 474. Suppose 35 = 3*b - j. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21901\/6 + -3641. Calculate the common denominator of 2989\/(-392) + (2 - (3 - 0)) and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -4, 3, 3567?\nAnswer: 3567","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.672 and -0.16.\nAnswer: 0.10752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19429 + -11000. What is the remainder when o is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18402, 36785, 55166, 73545?\n\"Answer: -r**2 + 18386*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -564551758*t**5 - 4*t + 1434594 wrt t?\nAnswer: -11291035160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4659.\nAnswer: 3, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -6*p + 30. Suppose p = -3*k + 5*k. Let v(t) = t**2 - t - 2. Let c be v(k). Solve 3*w = b + 12, 3*b - 16 + c = -3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2037460 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 820 and 4838.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5717.993 - -5721. Let w = m - 0.007. Which is the third biggest value? (a) -4 (b) -0.8 (c) w (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 279 - 273. Let t(k) = -k**2 - 8*k + 8. Let y(l) = 6*l**2 + 40*l - 40. Let z(u) = -11*t(u) - 2*y(u). Give z(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012615727 rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 - ((-5 - -19 - 21) + 15).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/5)\/j*j**(-5)\/j)**12)**20 assuming j is positive.\nAnswer: j**(-1536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*t - 2 - 0, 4*t = -8. Suppose 4*r - b*g = 4, -r + 3*g - 8*g = -23. Find the second derivative of -5 + 2 + r - s**5 + 3*s wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3144*l**2 + 2634.\nAnswer: -6288*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2986 take away -10?\nAnswer: 2996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1\/2, -2\/135, 0.1, 0 in decreasing order.\nAnswer: 4, 1\/2, 0.1, 0, -2\/135, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*l - 18190, 3*z - 67*l = -72*l + 27287. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - 7 + 1 + 2 + 4.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87 + 4. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 156 - 152. Suppose 11*h + 18 = 5*h. Which is the third biggest value? (a) x (b) -4 (c) 0.6 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204\/430*5\/(-8)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l + 60*l = -205. List the prime factors of (3804\/3 - -2) + l + 8.\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 890*d - 13375 - 23644 - 7481 for d.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**2 - i + 2. Suppose -2*s = -3*m - 42, m + 2*s = -m - 18. Let f be (4\/m)\/(1*(-1)\/(-6)). What is u(f)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -65323, 0.3, -1\/2, -1.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 806758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 8*y + 7125 = 0. Let j be 3*4*(-3)\/(-9). Suppose -2*k = -5*i + y, 2*i - 1415 = -3*i + j*k. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 25*u**2 - u + 3. Let r be x(-2). Suppose -3*t - 2*t = -r. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**4*(h**35\/h)\/h*h*(h*h*((h*h**(4\/3))\/h)\/h)\/(((h\/((h*(h\/h**(-8))\/h)\/h))\/h)\/h) assuming h is positive.\nAnswer: h**(148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4 = 7. Suppose b**2 + 2*b + 1 + 2*b + f = 0. Calculate b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*a - 169*a + 34 = 0 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u + 3*u + 0*u - 3*u + u - u + (4 - 4 - 2*u)*(2 + 0 - 4) - u - 5 + 5 - u - 2*u + u + u + u - 4*u in the form b + t*u and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 10675426*d - 21350860.\nAnswer: 2*(d - 5337715)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 242*g**2 + 14255*g + 14014.\nAnswer: (g + 1)*(g + 98)*(g + 143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (22\/8 + 1)\/((-54)\/(-20232)).\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e + 46de7?\nAnswer: 46dd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 9*h**2 - 4*h**2 - 5*h**2 + 7*h**2.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5443392 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4, 5, -3\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 9, -47*z = -3*u - 49*z + 6. Suppose -u*c = -692 - 1044. Calculate the greatest common divisor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d - 22. Let w be q(8). Solve -8*z + 3*z - f = -25, -4*z - w*f + 26 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118 + 117.9. Let x(y) = -y**3 + 13*y**2 - 13*y + 15. Let q be x(12). Let c = 3.5 + -3. Sort q, c, p in descending order.\nAnswer: q, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-5) - (-18)\/(-30). Is -6\/5 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141271969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/2*5\/((-10)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 879*r - 42. Let y be (-3)\/(-2)*(-20)\/(-30). What is the hundreds digit of v(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1917 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + o**2 - 2*o + 1. Let x be ((-2)\/(2\/1))\/1. Let k be (6\/(-12))\/(x\/(-4)). Let d be c(k). Calculate the greatest common divisor of d and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (114\/(-171))\/((-50)\/(-2475))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3463*j**3 - 21*j**2 - 105*j?\nAnswer: 20778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2. Let r(h) = -35*h**2 - 12*h. Let o(s) = -841*s**2 - 290*s. Let d(n) = 6*o(n) - 145*r(n). Calculate w(d(c)).\nAnswer: 841*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-150)\/7)\/(-5))\/(2\/(-7))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 3887168*f + 1888759382528.\nAnswer: 2*(f + 971792)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 479\/1310 + 9\/262. Is l not equal to -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**2\/2 + u + 4. Let h(l) = l**2 - 3*l - 1. Let z be h(3). Let g(b) = -2*b + 1. Calculate z*q(m) - g(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, r: 3}. What is prob of picking 3 r?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1162*x**2\/3 + 9*x\/2 + 1\/3 = 0 for x.\nAnswer: -2\/83, 1\/28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -1. Let f(n) = -5*n - 10. Let b(a) = f(a) - 3*h(a). Let w be b(-8). Let k = w - 23. What is the remainder when 39 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1321.135 hours?\nAnswer: 4756086000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8767485 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 678592.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1255553 is divided by 92.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 - c**2 + 17*c**2.\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 - 5*w**2 + 4*w. Let i be f(3). Let p = -5 + i. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -6. Let j = 19 + p. What is the closest to j in -0.4, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 29\/2 of a second?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -128.7 (b) 1\/4 (c) -169\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3632 - 3628. Solve 8 = -x*z - 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -1.5. Let d = -80.98 + 81. Let c = -79 - -871\/11. Sort c, d, q in ascending order.\nAnswer: q, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - -9) + 3 + 1. Let n = -2 - f. Is ((-12)\/n)\/(1\/8) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 122324 (base 5) to base 4\nAnswer: 1021222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -84. Let f = o + -68.000038. What is f rounded to 6 decimal places?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 4*a + 60, 3*g - 43 = -0*g - 2*a. Suppose 46 - 10 = -9*d. Let u be 24\/30 - 64*d\/5. Calculate the highest common factor of u and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, h: 4, g: 1, p: 1, q: 4, m: 3}. Give prob of sequence ghh.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**3\/3 + 4*m**2 + 3*m - 12. Let s be h(-11). Let i(g) = 76*g - 31*g + s*g. Let r(w) = -2*w. What is r(i(p))?\nAnswer: -162*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o - 45. Let d(n) = -n - 22. Let s(v) = v**2 + 14*v + 30. Let j be s(-12). Let m(z) = j*x(z) - 13*d(z). Suppose 0*w = -w. What is m(w)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*z = 28, -3*c + 45 = -5*z + 11. Suppose -707 = -12*a + 205. Calculate the remainder when a is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1776 and 248?\nAnswer: 55056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvusuuuvsuuuvvvu. Give prob of picking 1 v and 2 s.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -b - 3*w - 156, -177 = -5*b - 4*w. What is the smallest common multiple of 30 and b?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.853*0.128682.\nAnswer: -0.238447746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(2\/3)))\/u**(-6))**(-33) assuming u is positive.\nAnswer: u**(-220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u. Let f(p) = -8*p**2 - 4*p**2 + 15*p**2 - 4*p**2. What is f(d(a))?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59904)\/595296*(23\/(-40) + 4\/20)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 38. What is the third derivative of -33*p**2 + 8*p**f - 3*p**3 + 24*p**2 wrt p?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -416 = -10*z + 2*z. Let s = -207\/4 + z. Factor -1\/4*o + 1\/4*o**4 + 0 + 1\/4*o**3 - s*o**2.\nAnswer: o*(o - 1)*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -768, -770, -772, -774, -776, -778?\n\"Answer: -2*m - 766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 24.3 (b) 0.5 (c) -9.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -5, 2 in decreasing order.\nAnswer: 2, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + d - 2. Let s be y(3). Suppose 3*k = -2*k + s. Solve -k*z - 1 = 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3*f + 65 + 283, 5*b - 1700 = -5*f. What is the greatest common factor of b and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a = -32. Let f = 24 - a. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236991 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -1291*n**4\/4 + 192*n**3 + 871. Find the third derivative of w(o) wrt o.\nAnswer: -7746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1449821, 1449898, 1449975, 1450052, 1450129?\nAnswer: 1450206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6448*a - 183959 = 441497 for a.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45*s**3 + 28*s**3 + 47*s**3 + (3*s - 2*s + 0*s)*(0*s**2 - s**2 + 0*s**2).\nAnswer: 119*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0)\/(1\/(-3)). Suppose g*p - 774 = 3156. What is p rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = -35*t + 18*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6590639 - 6590550.999957. Let m = t + -88. Round m to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -37. Suppose -v + n*v = -247. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 34 = -19*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -15*q**4 - 120*q**3 - 795*q**2 + 2425*q - 1895. Let v(p) = -p**4 - 10*p**3 - 66*p**2 + 202*p - 158. Let c(w) = 2*j(w) - 25*v(w). Factor c(l).\nAnswer: -5*(l - 2)**3*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.2 + 4.2. Let z = 1 + -2. Let k = t - z. Are 1\/3 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 - 120990*h + 3659645025.\nAnswer: (h - 60495)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g + 14*g - 20. Calculate the greatest common factor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6562449, -6562453, -6562457, -6562461, -6562465, -6562469?\nAnswer: -6562473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13396880?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c + 36706*c**4 + 7*c - 37075*c**4 + (0*c + 2*c + 0*c)*(3*c - 3*c + c**3) as h + n*c**3 + t*c**4 + m*c**2 + x*c and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121614 or 121621?\nAnswer: 121614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100852 = 3*w + 28*i - 24*i, 67230 = -2*w - 5*i. What is w rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005435 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67068 - 45720. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f + 18*f - 7*f)*(3 + 4 - 5)*(-1 + 1 - 2*f).\nAnswer: -92*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-14) + (-10)\/14. Suppose 3*s = -17 + 2. Suppose 0 = -4*i - n + 15, 0*i + i = 3*n + 20. Put s, i, t in decreasing order.\nAnswer: i, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4044\/15 + 0 - -2. Let y = q - 273. Calculate the common denominator of y and 81\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 1 + sqrt(1539))**2 + sqrt(1539) + -3)*3 - (-2*(sqrt(1539) + 5*sqrt(1539)) + sqrt(1539) + (sqrt(1539) - -5*sqrt(1539)) + -1).\nAnswer: -144*sqrt(19) + 4657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/(-2))\/7*-6. Let a be -2 + 1 + n\/(3 + 0). Is 3\/(-9)*222\/a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 4\/3, 917, 5 in descending order.\nAnswer: 917, 5, 4\/3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-47)\/((-893)\/2))\/(12\/57)*68\/(-10).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.138 in -1, 3651, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 723 and 21111.\nAnswer: 5087751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 0 + 1\/3*x**3 - 2\/15*x**5 + 0*x + 1\/24*x**4 - 52*x**2. Let r(m) = -17*m**2 + 2*m + 4. Calculate 6*r(z) - 13*s(z).\nAnswer: 2*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.764 - 26529617?\nAnswer: -26529612.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -172.079 - -172. Let g = 131.842 - b. Let k = -132 + g. What is k rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/5*(-885)\/(-708).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + 402?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 + -55. Suppose 15 = 3*w, -5*d + 2*w - 739125 + 2589115 = a. Round d to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -15. Suppose -5*f + 8 = -4*k, -3*k - 3*f + 1 = -y*f. What is the second derivative of -3 + 0*d + k + d - 2*d**3 wrt d?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2098, -142, 3084, 7580?\n\"Answer: 635*h**2 + 51*h - 2784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9215414 kilograms in tonnes?\nAnswer: 0.0009215414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2933273664 and 576?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8436679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 3*g + 4. Suppose b = -a - 4 - 3, 7 = 4*a - 3*b. Let q be (0\/(4 - 0))\/a. Suppose -m - 4 + q = 0. Calculate v(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.7 - -1.7. Let y = 18 + -48. Let v = y - -30.3. What is the nearest to 2 in v, -1, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27.7306 and -0.05.\nAnswer: 1.38653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -1\/6*u**3 - 9 + 2*u**2 + 2*u. Determine a(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 23. Let z(v) = -20263*v. What is z(c(d))?\nAnswer: -20263*d**2 + 466049","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 1, a: 6, z: 1, r: 11}. What is prob of sequence zre?\nAnswer: 11\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8000240 and 800024?\nAnswer: 8000240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 148, 154, 160, 166?\n\"Answer: 6*j + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -185428*s**2*w - 6*s*w - 2*s + w + 121 wrt s.\nAnswer: -370856*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3306d (base 16) to base 12.\nAnswer: a0b51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8439779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -45*a - 45. Let d = -18 + 27. What is the lowest common multiple of d and z(-2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 18, 21, 24, 27?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 4*m**2 + 6*m + 2. Let y be j(-5). Let i = y + -2. Let h = i - -13. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3652239 to the nearest integer?\nAnswer: 1911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 10*f - 11. What is the remainder when 28 is divided by r(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 + 292. Suppose -c = -3*z - 30. What is the greatest common divisor of 21 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*r**2 - 15*r**2 - 14*r**2 + 82*r**2 - r**3 - 34*r**2 - 38.\nAnswer: -r**3 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 948 + -881.9. Let k = g - 66. Round k to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4805 is divided by 107.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 165729 = 165441 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 17. Let g be h\/((-2)\/(-3)*-6). Let r(v) = 2*v - 83. Let k be r(g). What is k rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(0 - (-5 - (-263)\/53)). Factor 5*z**2 - 3*z**2 - h*z + 76*z + 8 + 3*z**2 + 2 - 2*z**3.\nAnswer: -(z - 5)*(z + 2)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5426 is divided by 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1771842910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 70.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 415, 723?\nAnswer: 1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3) - 17\/(-3). Suppose 5*s - 48 = 4*a, s + 3*a = x*a + 12. Suppose 0 = -s*i + 51 - 3. What is the greatest common divisor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 + 11 - 3\/1. Suppose 17 = -4*q - r + 42, 4*r = 2*q + 10. Let x be ((-45)\/(-18))\/((-20)\/8) + 1. Sort h, 4, q, x.\nAnswer: x, h, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v - 6. Let j(x) = -6 + 1 - 1 + 1. Let m(h) = 7*j(h) - 6*t(h). Is m(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.61303 millennia to decades.\nAnswer: 261.303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 603995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2394a - -627?\nAnswer: -23323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3400) - (sqrt(3400) - sqrt(3400)*2 - sqrt(3400)))\/(sqrt(10)\/(sqrt(10)\/sqrt(2))))**2.\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + (-3 + -2*sqrt(1700) + sqrt(1700) + sqrt(1700))*3))**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3256.812 millilitres to litres.\nAnswer: 3.256812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340224091 to the power of 1\/2, to the nearest integer?\nAnswer: 36609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-4)\/96*(-8432)\/(-682)*33.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -25\/3*n**4 + 20\/3*n + 5 - 20*n**3 - 10*n**2 = 0.\nAnswer: -1, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 7*z**2 + 7*z - 4. Let j be c(6). Suppose 0 = -j*h - 0*h + 24. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/3 - 35559008*o\/3 - 35559010\/3.\nAnswer: 2*(o - 17779505)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*u + 5 = 158*u. Suppose -5*h + 990 = 8*x - 3*x, h = u*x - 984. Calculate the remainder when x is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(91) + (sqrt(91) + sqrt(91)*-2 - sqrt(91))) + -1*sqrt(91)*-2)\/(1*(sqrt(7) + sqrt(7)*2)*4)*-3 + 1.\nAnswer: -sqrt(13)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 12*x. Let w(r) = -6*r**2 + 10. Give w(j(c)).\nAnswer: -864*c**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 5:30 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1 + 3))\/((-11)\/(-6))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of m**4\/15 + 4*m**3\/15 - 6*m**2\/5 - 51*m + 28. Let o(d) be the first derivative of v(d). Let o(u) = 0. What is u?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 6\/(-21) + 15\/(735\/1778)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + j = -0*j + 2, 13 = -4*k - 3*j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/17, 0, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (32\/(-28) - (-165)\/(-21)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87 and 52287?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 13. What is the remainder when 17 is divided by u(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1309157\nAnswer: 5\/1309157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.4, -110, -1, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Let r = x + 2. Suppose -5*n - 19 = -4*d, -2*d + 58 = d + 5*n. Solve r*v + 1 = d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-1)\/3)\/(((-1716)\/(-117))\/(-44))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2497*z - 5239?\nAnswer: -2497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -439593, -439695, -439799, -439905?\nAnswer: -440013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/15)*m)**(-40)\/((m*m\/m**(3\/4))\/m)**(10\/7) assuming m is positive.\nAnswer: m**(-1919\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 73*i**2*k**3*n - 1216*i**2*k**3 + 87*i**2*n + k**2 wrt n?\nAnswer: 73*i**2*k**3 + 87*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**3 + 90*j**2 + 393*j + 501. Determine q(34).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 23 = -72. Let z(v) = 209*v - 3. List the prime factors of z(k).\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2394\/14)\/(-9)*(-2)\/(((-20)\/(-6))\/(-5)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 4*c + 28, 8*t = 4*t + 2*c + 24 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 24 = -38480*h + 38477*h, 10*h = 10 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11642 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/(-16)*108\/(-45). Suppose -6 = 3*q, 5*f = a*q - 2*q + 2382. List the prime factors of f.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2205 and 2027.93.\nAnswer: 4471585.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87 - -88. Let p be s*(-2)\/4*2. Suppose 5*v - 2 = 13. Sort 1, p, v in decreasing order.\nAnswer: v, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r**3 - 2*r**2 + 3*r + 7. Let l(g) be the third derivative of g**6\/30 + g**5\/60 - g**4\/12 - g**3 + 560*g**2. Calculate -2*a(j) - 3*l(j).\nAnswer: -2*j**3 + j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)\/(g\/g**4))**(2\/49)*(g*g\/(g*g**(-2\/7)*g))**(1\/11)\/(g**(-1\/5)\/g**3) assuming g is positive.\nAnswer: g**(8804\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 123865 and 1785.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58459\/13 + -4497. What is the second smallest value in -0.16, 1, 2\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 20, 2, 9 in descending order.\nAnswer: 35, 20, 9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z - z + 4*z)*(-58*z + 34*z - 351*z).\nAnswer: 1125*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2922 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 31.05215 decades?\nAnswer: 0.3105215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.1 (b) -0.5 (c) -654 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**3\/3 - c**2\/2 - 4. Let s be z(2). Let f be (-4)\/s*9\/(-21). Which is greater: f or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -4.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 5. Let q = -375 - -374. What is the biggest value in q, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 563 + -563. Solve r = -3*t + 12 - 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4376197 and 28?\nAnswer: 17504788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 13*y**2 + y - 13. Let n be m(13). Let d be ((-3)\/(-4))\/(15\/180). Solve n = -5*i + 2*i + d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, c: 4, x: 2, v: 1, a: 7}. Give prob of sequence vxc.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*s + 3. Factor 0*h**4 - 3*h**s - h**3 - 3*h**4 + 7*h**3 + 0*h**3.\nAnswer: -3*h**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3753576 and 792.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*v - 3*v + v)*(-59*v**2 + 39*v**3 + 59*v**2) to g + m*v + s*v**4 + u*v**2 + d*v**3 and give s.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*j - 14 = -56*j + 386. Let r be 45\/(-6)*(-4)\/3. What is the closest to 0.1 in r, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5033140030 + 2?\nAnswer: 5033140032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.2 - 4. Let h = 3.2 - j. Which is the smallest value? (a) 0.3 (b) h (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32248496?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8462, -16913, -25338, -33719, -42038, -50277?\nAnswer: -58418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -17. Solve 14 = 3*p - a*u + 4*u, -p = 3*u - 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 3*b - 100. Suppose 3 = -r, -r - 4*r + 181 = b*o. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*v + 10 = 137*v. Suppose v*f - 4*a + 8*a = 102, 3*f - 3*a - 171 = 0. Calculate the least common multiple of f and 35.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122021313?\nAnswer: 3, 40673771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 103 - 40 = 0. Suppose -l*d = -10*d - 9. Sort 5, 4, d in increasing order.\nAnswer: d, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*o - 3 = 0, -3*o + 3 + 6 = 0. Suppose t*i - 20 = -i. Suppose i*u - 51 = -6. Calculate the highest common factor of u and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-225)\/(-3456)*(-2)\/(-5))\/(10\/(-450)*-25)\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*v - 2368 - 1568. What is the least common multiple of 984 and v?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 95 - 93. Let l be (-378)\/x*(3 + (-135)\/35). Calculate the highest common factor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - y = -20, -8 = -5*c + 3*y - 0*y. Suppose 0 = -c*q + q. Let j be -2 - 0 - (q + -1). Is j smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 132\/283 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/19)*z**(-9))\/(z**(-3\/7)*z**(-8)\/z))**(1\/34) assuming z is positive.\nAnswer: z**(88\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 37.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 68 = 4*w + 2*h, 0 = -h. Let s = w - 225\/8. Calculate the common denominator of 17\/10 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -250 and 0.2?\nAnswer: 250.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 544137.4nm in millimeters?\nAnswer: 0.5441374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 10:20 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3061.52022 to the nearest 100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 1. Let z(f) = 10*f + 10. Let j = -2609 - -2631. Calculate j*b(y) + 2*z(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 23*o**2 - o - 2. Let y(i) = 24*i**2 - 2*i - 3. Let m(p) = 3*g(p) - 2*y(p). Let f be (12\/18)\/(9\/5022). Let c = 371 - f. Determine m(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 87.04984 centuries?\nAnswer: 104459.808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(2*sqrt(7)) + -2.\nAnswer: -2 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -91? (a) 0.107 (b) -4 (c) 28\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/(-4)*52\/117. Which is greater: w or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/3, -3, 0.5, 2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001120 (base 3) to base 8.\nAnswer: -4265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-2) + 24956\/136 + -165\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**4\/12 + t**3\/6 + 19*t**2. Let x(a) = a - 1. What is -6*x(y) - 5*z(y)?\nAnswer: 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10040046 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 2.348 (c) -0.34 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3216*n**2 - 2808*n**2 + 4041*n**2)*(1 + n - 1).\nAnswer: 4449*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(28\/(-1))*-2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*b*m*p - 2*b*p - 106*b - 11*m*p + 2*m - 10 wrt m.\nAnswer: -5*b*p - 11*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*f + 210 = 3*m, -133*m - 2*f + 16 = -132*m for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14.0699 and -0.6.\nAnswer: 8.44194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 10:10 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218209962.\nAnswer: 2, 3, 257, 141511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27802 is divided by 27324?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*v + 18*v + 3*v)*(-3*v**4 - 4*v**4 + 6*v**4) + 14*v**2 + 28*v**5 - 27*v**5 - 5*v**2.\nAnswer: -12*v**5 + 9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-2))\/(-3) - 6\/4. Sort 1, 3, k, -7 in decreasing order.\nAnswer: 3, 1, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22962 and 387.\nAnswer: 68886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 19*y + 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17671010 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 86.08699 and -0.4.\nAnswer: -34.434796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00666819 rounded to 5 decimal places?\nAnswer: 0.00667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-15))\/((-3)\/75*-2)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63583705967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.8 (b) 3 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -5\/4 (c) -2\/21 (d) 3 (e) -102 (f) -1323\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*r + 81. Let y = r - -107. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1832 and 14198.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -66.7319\nAnswer: -6.67319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 9*l - 27 = 0. Suppose -15 = -5*t + 4*y + 3, y = l*t - 8. Solve 1 = -t*h + h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 18 = -3*h, 221*s - 4*h - 4 = 218*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3061021 - -5?\nAnswer: 3061026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v - 20. Let u be t(-13). Let h be (u\/14)\/((-9)\/(-6)). Put -2, -10, h in descending order.\nAnswer: h, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 32 = 4*y, 16 = 6*y - 4*y - 5*h. Let q(v) = -4*v - 23. Let t be q(-10). Suppose -2*f + 113 - t = 0. What is the highest common divisor of y and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5 = 4*f - j, 0 = -4*f - 3*j + 15. Factor -6\/11*q**2 + f - 2\/11*q**3 + 0*q.\nAnswer: -2*q**2*(q + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 49, 12, 0.4, -0.3?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.317 rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 140bdd + 0?\nAnswer: 140bdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/43914 and 127\/70938?\nAnswer: 922194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3029*t - 15 = 3032*t. Let r(s) = -2*s**2 - 7*s + 4. Let l(g) = -g - 1. Let o(u) = -l(u) + r(u). Calculate o(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -186 + 3*r - 2 - 9*r + 4*r as s + j*r and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 1140364?\nAnswer: 7982548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13802, -4.5, -1.\nAnswer: -4.5, -1, 13802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, r: 4}. What is prob of picking 3 r and 1 n?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4500 and -2.35?\nAnswer: -10575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1087*j**6 - 45*j**5*s - 96*j**2*s + 42*j*s - 3 wrt j?\nAnswer: 130440*j**3 - 2700*j**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 4*h + 4, -5*x + 7 = -3*h. Suppose -u - 2 = x. Is 54\/3 - (-4 - u) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a millennium in years?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-1))\/((-2)\/(-3)). Suppose -t*a = 2*a + 2*l + 66, a + 12 = -l. Let j = a + 20. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 7. Let n = 22 - d. Solve -2*a + n = 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/5 + 35772*c**2\/5 - 319873221*c\/5 - 639889538\/5.\nAnswer: -(c - 17887)**2*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8557652 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 401 divide 1422347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 2*k - 2. Give x(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -24*a + 5. Let i be j(4). Let k = i - -114. Put k, 2, 4 in descending order.\nAnswer: k, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231 + 932 + 5*z - 251 + 6*z - 226 - 223.\nAnswer: 11*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.5 + -3. Let o be 2\/(-2) + -3 + -1. Suppose 92*k - 13 + 413 = -152. What is the smallest value in k, o, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 53, 92, 131, 170, 209, 248?\n\"Answer: 39*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.32 + -24.88. Let q = -26 - a. What is the nearest to 0.1 in 4, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 72 + 2 - (-20 - (20 + -38))\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/(m*m**(2\/3))*m))**(-10\/7)*(m**1*m)\/(m\/m**(-9)*m) assuming m is positive.\nAnswer: m**(-239\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/11 - 350878\/(-121). Suppose -29*x = -a - 899. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -133*g**2 - 131*g + 131. Calculate u(1).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38538846 or 0.05?\nAnswer: -38538846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k + 3. Let j(m) = 5*m + 4 - 3 - 4*m - 2. Let v(l) = 17*j(l) + 6*y(l). Calculate v(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*x - 301335, 3*x + 30*y = 35*y + 226015. What is the ten thousands digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -469 + 1?\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**5\/7 - 324*x**4\/7 + 3548*x**3\/7 + 136368*x**2 - 962530*x - 17260092\/7 = 0.\nAnswer: -47, -2, 9, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 14) in base 3?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*((-472)\/(-32) + -14)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 1. Let f(t) = 8*t - 6. Let z(y) = f(y) - 10*n(y). Let i(u) = -9*u + 21. Calculate -2*i(v) + 11*z(v).\nAnswer: -4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4 minus 4383893.19672?\nAnswer: -4383889.79672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 15. Let b be 1 - -1 - (-1)\/1. Let f(s) = -19 + b*s - 4*s + 12 + 2. Let c(j) = -11*f(j) + 4*w(j). What is the first derivative of c(g) wrt g?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.46474 * -4\nAnswer: -1.85896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Let s = d + -2.2. Let q = s - 0. Which is the second biggest value? (a) 4 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 3\/8, 4 in ascending order.\nAnswer: 0.05, 3\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 204652 to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/5))**(-1\/10)*(j\/j**(-7))\/(j*j**6*j*j))\/((j**1*j*j)**(14\/5)*((j*j**(1\/4)\/j*j)\/j)**(2\/7)) assuming j is positive.\nAnswer: j**(-3329\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -229*d**3*h + 9571*d**2*h**2 - 2*d*h**2 - d*h - 4*d - 2*h**2 + 13476*h wrt d.\nAnswer: -1374*d*h + 19142*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*k + 5*n - 6 = 0, 5*k = -2*n - 24. Suppose 4*s - 5*l + 17 = 2*s, 3*s + 18 = 5*l. Which is greater: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 1. Let t(n) be the first derivative of -n**2 + 4*n - 230. Determine -5*b(j) + t(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -9, 4, -6 in decreasing order.\nAnswer: 4, 3, 2, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(g**5 - 3*g**4 + 3*g**4) - 3*g**5 - 3*g**5 + 2*g**5.\nAnswer: -6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5\/7 - p**4\/7 - 4*p**3\/7 + 4*p**2\/7.\nAnswer: p**2*(p - 2)*(p - 1)*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*w**4*y**2 + 23*w**3 - 4*w**2*y**2 + w*y**2 - 2*w + 335 wrt w?\nAnswer: 48*w**2*y**2 + 138*w - 8*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -280*y + 6689. Calculate a(24).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + (sqrt(200)*-1)**2 - (5 + (6*sqrt(200)*-2)**2)) + -3.\nAnswer: -28611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34058219 and 3227?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*m**3 + 94*m**3 + 5*m**2 - 16*m - 188*m**3 - 81*m.\nAnswer: -m**3 + 5*m**2 - 97*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.2 + 0.2. Let s be -8*(76\/96 - (-14)\/(-21)). Which is the nearest to 0.1? (a) o (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + 12845*u**2 - 1 - 2*u + 2342*u**2 + 22049*u**2 to the form n*u**2 + q*u + h and give n.\nAnswer: 37236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.285 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**7\/3 + 5*b**3\/2 - 15*b. Find the second derivative of k(p) wrt p.\nAnswer: 280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 841*o**3\/5 + 2581*o**2\/5 + 35*o + 3\/5.\nAnswer: (o + 3)*(29*o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139480 divided by 27896.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 13. Put -3, -4, l in increasing order.\nAnswer: -4, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 588608830\/9 or 65400982?\nAnswer: 588608830\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/12 and -5\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*z - 13 = c + 52*z, 2*c - 19 = -5*z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-5 + 9) - 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 - -32. Suppose l = 5*w + 12 - 42. Suppose -38 = -5*r + 82. What is the greatest common factor of w and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2193, 2261, 2377, 2541?\n\"Answer: 24*x**2 - 4*x + 2173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**2\/5 + 1658*d - 3436205 = 0.\nAnswer: 4145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -187080 less than -187069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -174*s**2 - s - 45. Let m(p) = -45*p**2 - 12. Let a(f) = -4*k(f) + 15*m(f). Let c(h) = 2*h**2. What is c(a(b))?\nAnswer: 882*b**4 + 336*b**3 + 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from {n: 1, u: 2, m: 1, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 3*i - 1599 + 1656, 0 = -8*d + 3*i - 57 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42897693.\nAnswer: 3, 673, 21247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/7 - 86*z\/7 + 88\/7.\nAnswer: -2*(z - 1)*(z + 44)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**2. Let t(g) = 121*g - 5. Give t(s(j)).\nAnswer: -363*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7662037 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6711.678 centuries to years.\nAnswer: 671167.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -212323, -212321, -212319, -212317, -212315, -212313?\nAnswer: -212311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16c (base 15) to base 14\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-3) - (-2)\/6. Let l be q\/2*-2*-1. What is the units digit of (l + -1)*4\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o - 5. Let h(v) = -2*v + 7. Let c(p) = p - 4. Let a(g) = -5*c(g) - 3*h(g). Let t(f) = -5*a(f) + x(f). Let j(w) = w**2. Give j(t(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 4*w**2 - 3*w - 20. Let o be t(6). Factor 60*l**2 - 61*l - 10 - l**3 + 46*l - o*l**3.\nAnswer: -5*(l - 1)**2*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -70*d**2 - 134*d + 4. Let h be w(-6). Which is bigger: -1711 or h?\nAnswer: -1711","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9327453 is divided by 310915?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-1*sqrt(325) + -5)*-3 + 2 + -2*sqrt(325) + sqrt(325) + -2*(sqrt(325) + (sqrt(325) - (sqrt(325) + 1 - sqrt(325))))))**2.\nAnswer: -3420*sqrt(13) + 14949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**4\/18 - 277*f**3\/9 + 278*f**2\/3 - 3884*f. Solve h(z) = 0.\nAnswer: -278, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 1) + (14 - 25) + 4 - 5.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 14. Let l be 2\/(-3) + (-4)\/u. Suppose l = 4*k + 4*g + 239992, -g = 2*k + 2*k + 239998. What is k rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2625 is divided by 265?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 a, and 1 u when four letters picked without replacement from vvamnauevvan?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 10*o - 1. Let c be z(-4). Let g = c - -45. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21202852 by 11.\nAnswer: -1927532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 4:16 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-6)*5\/25?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8159049 years to decades.\nAnswer: 0.08159049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(432) + 1 + sqrt(432)))**2 + -4)*-6 - (5 + (sqrt(18) - sqrt(18)*1*6)\/((sqrt(60)*-2)\/sqrt(10)))**2.\nAnswer: -1037479\/4 - 7225*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -34664251864 plus -95?\nAnswer: -34664251959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -163*y + 160*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/48 and -91\/12448.\nAnswer: 37344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 3735?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96106*l**3*m + l**2*m + l**2 - 2369*l*m - 738*l wrt l.\nAnswer: -576636*l*m + 2*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 - 12564*m**3.\nAnswer: -4*m**3*(m + 3141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4843)\/(-4) + 5\/20 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -49295?\nAnswer: 49294.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -941 = -z - 506 - 524 for z.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-7)\/x)*x\/(x*x\/(x**(-5\/2)\/x)))\/((((x*x\/(x*x**(1\/10))*x*x)\/x*x)\/x*x)\/x*x*x*x*x\/(x*x**(-3))) assuming x is positive.\nAnswer: x**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -10*n + 80. Let v be l(8). Solve t - 4*x = -t + 10, v = -2*x - 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(5)*-5)*2.\nAnswer: -10*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164486 is divided by 709.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -43*m - 27. Is 9 a factor of q(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3, 35, 135, 327, 641, 1107, 1755, 2615?\n\"Answer: 5*b**3 + b**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -85*z - 824. Let y be o(-10). Solve 0 = -32*h + 28*h - 5*x - 6, -3*x + y = -5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 116490 and 497377.\nAnswer: 164134410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 47 = 2*u, 30 - 9 = u + 2*a. Let x = u - 7. Suppose 4*s + 2*g - 478 = 0, 2*g + 2*g = x. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*d + 7*d = -108*d. Let j = 178 - 122. Suppose u + s - 49 = d, s + j + 120 = 4*u. What is the remainder when 223 is divided by u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.3 (b) -9.89 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 11.9. Let f = 79 - 65. Which is bigger: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -67298 + -31?\nAnswer: -67319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 145295425 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51585 and 760665?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9767*z**3 + 2540 wrt z?\nAnswer: 29301*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001010011111 + 1000100001?\nAnswer: -101000001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b5 - ca?\nAnswer: -1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2174 - 171476?\nAnswer: -168302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 4. Let c(l) be the third derivative of -l**8\/4032 + l**5\/30 - 3*l**2. Let x(g) be the third derivative of c(g). Determine x(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 60781 or -0.1?\nAnswer: 60781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 459072, 1836185, 4131374, 7344639?\n\"Answer: 459038*i**2 - i + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2072385?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from zcopyppoczyozoco?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13313475 to the nearest integer?\nAnswer: 3649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.1, -3, 17355, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 854.3464km?\nAnswer: 854346400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-6))\/2 + (-24 - -24). Let u be 10\/(-25)*(-15)\/12. Is q equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 468 and 5265?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 11:10 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 511741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 22 = -2*t, 9*d + 2*t = 11*d - 30. What is the lowest common multiple of d and (-3)\/18 - 134\/(-12)?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/40? (a) 5 (b) 65\/4 (c) -1\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 - y**3 + y**4 - 12*y + 10*y + 5734 - 5755 as r*y**4 + o*y**3 + d*y + w + h*y**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 8*k**3 + 8*k**2 - 4*k - 9. Let b(w) = 7*w**3 + 8*w**2 - 4*w - 8. Let u(a) = 7*b(a) - 6*q(a). List the prime factors of u(-7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*t - s - 8, 4*s = -4*t + 24. Let u(q) = 3*q**3 - 11*q**2 - t + 10*q**2 - q**3. Let c(y) = -y**3 + y**2 + 1. What is -3*c(w) - u(w)?\nAnswer: w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44.5713 and 4.\nAnswer: -178.2852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*d**2 + 1099461356*d**3 + 0*d + 0*d - 1099461362*d**3 + 68*d**2.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 4:05 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -23*h + 9. Let r(p) = 35*p - 13. Let w(m) = -5*r(m) - 8*y(m). Let a(b) = -10*b + 8. Give -6*a(j) - 7*w(j).\nAnswer: -3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 14*k - 11. Suppose 0 = 8*u - 3 - 45. What is the remainder when v(u) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1829)\/(-1475))\/(((-22)\/10)\/11)\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/3 - 152*c\/3 + 2888\/3.\nAnswer: 2*(c - 38)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0.04, 2\/5, -30, 6\/5, 1\/4 in increasing order.\nAnswer: -30, 0.04, 1\/4, 2\/5, 6\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4705.238510123 + 3.5.\nAnswer: 4708.738510123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.3188ng to micrograms.\nAnswer: 0.0673188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -112.6. Let q = -62 - o. Let g = 4.11 + -0.11. What is the second biggest value in q, g, 0, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 215\/7 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ndo when three letters picked without replacement from ndtood.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-54)\/(-80) + (-24)\/(-192))*5\/(-14). Which is the fifth smallest value? (a) -5\/7 (b) w (c) 2\/3 (d) 5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91*0.1214452\nAnswer: -11.0515132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*a**2*h**3 + 24*a**2*h**2 - 5*a**2 - 4*a*h**3 - 10*a*h wrt h?\nAnswer: 36*a**2*h + 48*a**2 - 24*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98115048.\nAnswer: 2, 3, 1362709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -356, -761, -1154, -1529, -1880, -2201?\nAnswer: -2486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -43, -3, -16\/3?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 695*i + 32004. Determine v(-46).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/11, 0.2, 3414521.\nAnswer: -2\/11, 0.2, 1, 3414521","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p. Let o(i) = 40*i**2 - 4*i + 20. Let a(x) = -2*x**2 + x - 4. Let j(y) = -5*a(y) - o(y). What is j(v(f))?\nAnswer: -270*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.40991 millilitres in litres?\nAnswer: 0.08640991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, j: 2, o: 3, y: 7}. What is prob of picking 1 y and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -47*m + 48. Calculate z(5).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((1424 - 1) + -1)\/(1*(-8)\/(-4)) is divided by 45.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 1. Let b be p(-2). Let a(r) = -r - 1. Let h(z) = -10*z - 11. Let u(d) = 22*a(d) - 2*h(d). Calculate the lowest common multiple of u(b) and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2232110 (base 5) in base 11?\nAnswer: 27880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*o + 21. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112713, -111948, -111183, -110418, -109653?\nAnswer: -108888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -10589 <= -1821563\/172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4*r = -5, -3*j - 3*r - 5 = 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eoeeeoooee. What is prob of picking 4 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) 52 (c) 4 (d) -1346\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -2*w + a, -12*w - 64*a + 59*a - 13 = -14*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 362668 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10092 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1944 and 87883?\nAnswer: 85939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897 is divided by 56?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -131*o + 10437 + 19053 + 15967. What is the remainder when 1071 is divided by o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36.2? (a) -10 (b) 0 (c) 0.6 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.094 - -0.884. Let z = p + -0.39. What is the smallest value in 2\/9, z, 3\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4153140 (base 6) to base 3\nAnswer: 101020112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12921*s**4 + 198*s**3 + 7512*s**2 - 1401.\nAnswer: 310104*s + 1188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -2, 1\/20 in decreasing order.\nAnswer: 0.8, 1\/20, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77)*3 + sqrt(77))*6 - ((sqrt(77)*3*5 - sqrt(77)) + sqrt(77)))\/(sqrt(396) + sqrt(396)*-2*4 + 6*(sqrt(396) + sqrt(396)*-2)))**2*4.\nAnswer: 700\/1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, i: 5, m: 6, q: 1}. Give prob of sequence miii.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 8*a + 10. Let m be k(-2). Let b(j) = 21*j**2 - 6. Let n(s) = -20*s**2 + 5. Let v(y) = m*n(y) - 5*b(y). Let z(l) = 8*l. Give v(z(t)).\nAnswer: 960*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 12:17 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/(n**(-1\/5)*n)*n))**(-4\/35)\/(n**5)**24 assuming n is positive.\nAnswer: n**(-20976\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/290)\/(22*54\/(-792))?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12215487?\nAnswer: 3, 4071829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = z, -3*y - 17*z = -15*z + 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**6\/720 - 4*l**4\/3 + 17*l. Let o(w) be the third derivative of s(w). Let r(a) = -a. Give o(r(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -172 and 7353?\nAnswer: 7525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in centimeters?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from xwvqwzwwzzxwwrzz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 a, and 1 z when three letters picked without replacement from hzaataaaaaaazh.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y + 9. Let x(i) = -18*i - 43. Give -22*a(h) - 4*x(h).\nAnswer: 6*h - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275661.1 nanograms to kilograms.\nAnswer: 0.0000002756611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 36956*d**2 + 110904*d.\nAnswer: -4*d*(d - 9242)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7496397599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 7184?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.4, 0.2, -46, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 4*a - 15 + 0*a. Let o(s) = -1. Give -c(f) + 15*o(f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4)*-2 - (-3)\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.194 (b) 2 (c) 5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -997*y + 173*y - 41200 = 0 for y.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**6\/4 + 3*v**5\/10 - 9*v**4\/8 - v**3\/2 + 3*v**2\/2 + 2. What is q in u(q) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2339*u**2 - 61*u + 61. Calculate d(1).\nAnswer: 2339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/2 and -1*1*120\/32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -512 + 512.5. Let r = -0.02 - -0.42. Which is the smallest value? (a) j (b) -0.3 (c) -1 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 70\/80*(-3)\/((-9)\/24). Sort n, -5, -4 in ascending order.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3048 divided by -1\nAnswer: 3048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -438.6 + 439. What is the nearest to 1 in 0, 0.5, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 22*r - 20. Let c be m(-1). Let n(v) be the first derivative of 1\/10*v**2 - 1\/15*v**3 + 0*v - c. Factor n(t).\nAnswer: -t*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*d + 34*d - 18*d - d**3 + d**4 - 13 + 3 in the form a*d**2 + h*d**4 + x + u*d**3 + w*d and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 19*g - 28 = 0. Let i(w) = w**3 + 12*w**2 + 1. Let n be i(-12). Sort g, -2, -5, n in increasing order.\nAnswer: -5, g, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4942 is divided by 988.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 50\/1 - (-10)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3827 divided by 3827\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 43 + 46 = 0. Let t = -87 - a. Suppose -582 = t*i - 5*i + 3*z, -2*i = z - 379. What are the prime factors of i?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2583\/369*(20\/(-7))\/(-5). Let d(v) = 5*v**2 - 2*v + 1. Let l(w) = w**2 + w + 1. Let p(b) = -d(b) + 3*l(b). Give p(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 856 - 407. Let l = 449.00001141 - r. What is l rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/8, -0.3, 2\/11, -2, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1010 (base 3) to base 15\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w - 4. Let s be z(3). Calculate the highest common factor of 17 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = h - 2*d + 6*d, 0 = 3*h + 4*d + 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/9*(5630 + (-12)\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -5\/8, 0.5, -1, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-2 + 1) - 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10013000 - -22312?\nAnswer: -3330022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775145.\nAnswer: 5, 7, 22147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -52917.627 and -0.4.\nAnswer: -52918.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 + 31350895*z - 31350886*z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 48*y + 443. Determine h(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 11. Let w = t + 148. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4 + 15*v + 0*v - 9*v - 7*v. Let d = -16 + 11. Let k(a) = -a + 3. Determine d*b(j) + 7*k(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 7:17 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 2*a + 4*a)*(-3*a + 0*a + a) + (-4*a + 3*a + 2*a)*(-a + 4*a - 2*a) - 2*a**2 - 2*a**2 + 6*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3688030, -3687999, -3687948, -3687877, -3687786, -3687675?\nAnswer: -3687544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-854 + 854 + 1157*h)*(-7*h + 8*h - 4*h)*(h - h - 2*h**2) to j + k*h**4 + q*h**3 + l*h + n*h**2 and give k.\nAnswer: 6942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*((-6*sqrt(99))\/sqrt(9) + 0 - (sqrt(352)*3)\/sqrt(8)).\nAnswer: -12*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 4*p + 3. Let b be m(3). Suppose 0 = -h - 0*h - 2, b = 3*k - 3*h - 6. Suppose 5*t + k = 3*n + 6, -4*t = 2*n - 18. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**3\/3 + 13*z**2\/2 - 33*z + 42. Calculate b(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5986.2177 to zero dps.\nAnswer: -5986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 161*y**2 + 2187*y + 297167. Determine l(-159).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-19)*m**(2\/33))\/(m**(-8))**7 assuming m is positive.\nAnswer: m**(1223\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 289*q**2 + 7*q + 2. Let o(x) = -289*x**2 - 8*x - 1. Let i(j) = -3*h(j) - 2*o(j). Let r be i(-3). Round r to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d + 67e232?\nAnswer: 67e23f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 1 + 2. Suppose -2*c - 4*i - i = 17, 2*i + 18 = 2*c. Solve 5*p + c*q + 27 = 2*q, 4*q = p + h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 5 + (5 - 3) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5058134479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6046 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 5*k - 3. Calculate b(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/o**(-4))*o*o**(3\/4)\/o*o*o*(o\/o**(-5))**(-10\/9) assuming o is positive.\nAnswer: o**(-95\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39359 + 53?\nAnswer: 39412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve -547 = -66*w - 85 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 906 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 - 5*q**2 + 3*q. Let j be o(3). Suppose 2*g = -6 + j. Solve -4*p + g = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -20*f**3 - 16*f**2 - 19*f - 45. Let k(b) = -9*b**3 - 8*b**2 - 9*b - 20. Let u(t) = 9*k(t) - 4*n(t). Determine u(-6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y + 1. Let q(c) = 4*c - 19. Let o be q(4). What is the remainder when 714\/63 + 1\/o is divided by i(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/(-3))\/4)\/((-7425)\/162)*(-155)\/(-62)\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 361, 725, 1207, 1795, 2477, 3241, 4075?\nAnswer: 4967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -465306, -0.1, -0.2 in decreasing order.\nAnswer: 2, -0.1, -0.2, -465306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2836718919 to the nearest integer?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 + 1 = 0. Suppose u + 0 = k. Is (1 + (-13)\/u)\/((-1)\/15) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -50453, -200473, -450501, -800537?\n\"Answer: -50004*h**2 - 8*h - 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/30)\/((-6)\/(-5)). Let p = 6 + -6.3. What is the second smallest value in a, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9807 = 4*n - 305. What is the greatest common factor of n and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**4 - 1525*f - 5*f**4 - 23*f**4 + 512*f**5 + 2*f**2 + 24*f**4 wrt f.\nAnswer: 10240*f**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -796329.999968 - -796317. Let h = j - -13. Round h to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**4 + 2*t**4 - 4*t**4 + 4*t + 2*t**4 - 4*t + (2 - 3 + 3)*(t**4 + 0*t**3 + 0*t**3) - 4*t**4 + t**4 + 5*t**4 + 3*t**4 - 5*t**4 - t + 3*t**4.\nAnswer: 5*t**4 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 133456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 1293*h + 1292*h + 39*h**2 - 2585*h. Let j(n) = -21*n**2. Give j(c(v)).\nAnswer: -31941*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 87912*b - 966064968.\nAnswer: -2*(b + 21978)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 156.4 and 78790788.\nAnswer: 78790944.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 60 = 4*o. Let j(i) = -3*i**3 - 2*i**2 - 3. Let r be 3\/12 - (-39)\/(-12). Let f be j(r). Calculate the greatest common divisor of o and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.12764 + -0.18656. Round p to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -1268*d + 1216*d. Let r = 0.3 + -0.4. What is the closest to -24 in -0.3, d, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 0.36, -2327?\nAnswer: -2327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 + (-47 - -2) + -33?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15976869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-35)\/168)\/(660\/1188))\/((318\/16)\/(-3)).\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwweqqweqqwwe. Give prob of picking 1 e, 1 q, and 1 w.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -10, -5, -1.\nAnswer: -10, -5, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-18 + 6100\/175).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 403 or -6?\nAnswer: 403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1267590*n**2 - n - 3 + 1268659*n**2 + 4 - 5.\nAnswer: 1069*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**3 - 10*k**2 + 2*k + 59. Suppose 80*s - 24 = 84*s. Calculate the remainder when a(s) is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 7) to base 4.\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.387328979 rounded to four dps?\nAnswer: 1.3873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -184 or -3509\/19?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 961647998 to the nearest integer?\nAnswer: 31010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-15) + 30\/(-150)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 8*x - 2. Let a(d) = -23*d - 5. Let m(t) = 33*t + 6. Let f(k) = -4*a(k) - 3*m(k). Let s(v) = 3*v + 9. Let y be s(-5). What is y*f(q) - 5*i(q)?\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 - 2*u**2 - 3*u - 6. Let n be v(5). Round n to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1245, 1250, 1259, 1272, 1289, 1310, 1335?\nAnswer: 1364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 593 - 573 = j, -66 = 3*j - 3*i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 7:20 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -640 + 180445?\nAnswer: 178705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 1:34 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 2\/5, -7.3, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxbfxxfxbfb. What is prob of picking 2 x?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, q: 3, p: 1, x: 2, e: 1}. What is prob of sequence pe?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y. Let k(w) = -157 + 318 - 160 + 1997*w. Determine k(t(m)).\nAnswer: 3994*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9192.668 years to millennia.\nAnswer: 9.192668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfjtjtvq. What is prob of picking 1 q and 2 j?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 8*f - 12. Let g be v(5). Let j(u) = -11 + 1 - 2*u + g + 1. Let d be j(-5). Solve 0 = d*n + 7 - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 3. Let h be n(-5). Let p = -275 - -2157\/8. Calculate the common denominator of p and (261\/(-12))\/(0 + h).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*(q*(q\/(q**(-2)\/q))\/q*q)\/q)\/q*q*q**(-5))\/(q*q**4\/q*q*q*q\/(q*q**7)) assuming q is positive.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -14530*b**2 + 4*b + 7979*b**2 + 7210*b**2 in the form r*b + q*b**2 + y and give q.\nAnswer: 659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.1 - 10. Let t(s) = 154 + 154 + s**3 - 6*s**2 - 301 - 8*s. Let q be t(7). Which is the closest to k? (a) q (b) 2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*((1*sqrt(114) - sqrt(114)) + sqrt(114)))\/sqrt(6)*-1*-4.\nAnswer: -48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = -17*d - 424 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2909771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-14) - 866\/7. Suppose 2*n + 4*i = -2, -6*n + 4*n + 5*i = -34. List the prime factors of 2\/n + t\/(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*p + 2606440 - 960204. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/9)\/l)\/l**(2\/7)*(l**(3\/5)*l)\/l**(-4\/3) assuming l is positive.\nAnswer: l**(449\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -1 + 0*j**2 - 9 + 2*j**2 - 4. Let b(c) = -c**2 + 9. Calculate 8*b(y) + 5*z(y).\nAnswer: 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*(sqrt(343)*-1*-3)**2*-3 + -4.\nAnswer: 18515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 319607 and -4.88003.\nAnswer: 319602.11997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 - 76*l**2 + 3*l - 113. Calculate k(-38).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4389 + 4884 + 1357 + 3683 + 1463)*(2*a**4 - 3*a**3 + 3*a**3) to f*a + z*a**4 + w*a**3 + y*a**2 + i and give z.\nAnswer: 31552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7*n - 1. Let d be m(-1). Suppose -20 = 9*c - 14*c. Calculate the greatest common factor of d and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7 and 2057716.29083?\nAnswer: 2057709.29083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72012 * -0.5.\nAnswer: -36006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 8:07 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -3*g - b + 44, -3*b = -3*g + 36. What is the common denominator of 109\/14 and (-1)\/2 - 92\/g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 365, 823, 1587, 2657, 4033, 5715?\nAnswer: 7703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + 5*u - 9. Let y be l(3). Let g be y\/18 + (-15)\/(-36). Which is the second smallest value? (a) g (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 5*y + 55, -81*v + 5 = -78*v - y. Find p such that -10\/3*p**2 - 2*p**3 + 0 - 14\/9*p - 2\/9*p**v = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -226, -224, -222, -220?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/16)\/(16\/32)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-4)*30\/(-9). Let p be 51\/(-34) - u\/(-2). Put -116, -3, p in decreasing order.\nAnswer: p, -3, -116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158445767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 543848 divided by -57\nAnswer: -543848\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 67*(-4 - (-3 - 2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -9*y**3 - 9*y**3 + 23*y**3 - 4*y**3 - 31*y**2 + 8. Let v be s(31). Solve -3*i + v*i + 15 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 11*q - 27. What is g(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -865984 at least -865985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 6 + 4. Suppose -5*h + 22 - i = 0. Let y(a) = a - 2. Let q be y(7). Sort q, -5, h in increasing order.\nAnswer: -5, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 i when four letters picked without replacement from yyyiyyyyyyiyyyyi.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -193.52943 + 0.14943. Round r to 0 dps.\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**6\/120 + i**4\/6 + 20*i**3\/3 + 3*i**2. What is the lowest common multiple of 52 and j(0)?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27069 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 246*m + 5660. Give s(-23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*o**4 + 2*o**2 + 27*o - 716 + 4*o**2 + 1134 - 420 as p*o**2 + t*o**4 + c + d*o**3 + y*o and give y.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.04 - -1.74. Which is the biggest value? (a) r (b) 18 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4764511?\nAnswer: 4764511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - 0)*1 + 3. Suppose 3*q + d + 8 = u, -2*q - 5 = -u. What is the common denominator of 79\/8 and (u + (-98)\/(-36))*-3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(28\/(-147)*-7). Let d(q) = q + t*q + 1372 - 1360. Calculate d(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**4 - 81*n**3 + 130898*n**2 - 102523093*n?\nAnswer: -12*n**2 - 486*n + 261796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3356 - -7695555.8812.\nAnswer: 7692199.8812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 - 4*j - 1. Suppose 36 = 2*s + 2*s. Suppose 0 = 4*y, -2*y - 53 = 4*h - s. Let q(b) = 10*b**2 + 21*b + 6. Calculate h*w(r) - 2*q(r).\nAnswer: 2*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -501 = -4*y + 411. Let p be y\/(-1720)*4260\/88. Let l = p + 359\/43. Calculate the common denominator of l and -5\/18.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + a = -0*a - 5, 10 = -5*a. Suppose 7 = -k - 2*l - 0, -k + 3*l = -g. Let j be 1 - -1*(4 + k). Solve 3*h - 11 = -j*s, 5*s + 0*h = -2*h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 16 = -5*z + 13*z, 3*f = -2*z - 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -15*d - 245. Let l(j) = 31*j + 460. Give -4*l(a) - 7*p(a).\nAnswer: -19*a - 125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 4*a**2 + a - 10. Let b be d(4). Let m(i) = -i**2 + 5*i + 5. Let f(y) = -3*y**2 + 14*y + 14. Determine b*f(p) + 17*m(p).\nAnswer: p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7158 rounded to 2 decimal places?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -79600*i**3 - 94*i**2 - 92*i + 3. Is f(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 16019 (b) -4\/5 (c) 0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 8047\/1372?\nAnswer: 8047\/1372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3\/4 - 1348005*l**2\/4 + 90836324775*l\/4 + 2635387212625\/4.\nAnswer: 5*(l - 134815)**2*(l + 29)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17058 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1 = 2. Suppose -4*l = n - 15. Solve -4*y + 3*j = 2, -5*j + l*j + 9 = 5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93555.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1456 divided by 16?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 590 - 306. Suppose -12*x + n = -220. Calculate the greatest common divisor of 28 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -24\/79 (b) -5\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-90)\/9 - (-7)\/1. Which is the closest to -1? (a) o (b) 173 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1619000 to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*(-11)\/(-396)*8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**5 + 395*t**4 + 7155*t**3 - 26855*t**2 - 33620*t = 0?\nAnswer: -41, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**3 - a**3 - 5*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1438 - -1477. What is the least common multiple of d and 162?\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*s - 78 - 24 = -2*p, 0 = 2*s + 5*p + 24 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6824 + 6824. What is the closest to 1\/3 in 0.2, 18, a, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = i + 35. Let p = -4098 + 4101. Solve i*h + 16 = p*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) - (sqrt(99) - 3*(sqrt(99) - (-2*sqrt(99) - sqrt(99))))))\/sqrt(9)*-1.\nAnswer: -13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 464 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 85298045 to the power of 1\/3, to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -l + 2, 2*l + a - 3 - 1 = 0. Suppose 0 = l*s - 3*i + 2, 2*s - 4 = i - 2. Calculate the lowest common multiple of 3 and ((-11)\/2)\/((-1)\/s).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 59.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((2 + (1*(-3 + sqrt(1573)*-1 + sqrt(1573) + sqrt(1573)) - -1*(-2 + (sqrt(1573) - (sqrt(1573) + 1)))))*-1)**2 + -3.\nAnswer: -88*sqrt(13) + 1582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32820 to the power of 1\/2, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 92*n - 16 = 89*n, 3*n - 18 = -3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 3)*(-1 - 4 + 4)*(-4*w**2 + w - w).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-28 + 7 - -28).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*k**3 + 14222*k**2 + 4736*k - 9480.\nAnswer: 2*(k + 1)*(k + 2370)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**2 + 0 - 1\/600*s**6 - 1\/10*s**3 + 1\/100*s**5 + 0*s + 1\/120*s**4. Factor t(c).\nAnswer: -(c - 3)*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52 or 509?\nAnswer: 509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -4207479216?\nAnswer: -4207479211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -23*t + 105. Give m(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((60\/16)\/(-5))\/(48\/((-32)\/(-2)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 634511, 634519, 634527?\nAnswer: 634535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m**3 + 2*m**3 - 3*m**3)*(2*m + m - 4*m) as v*m**3 + h*m + w*m**2 + c*m**4 + k and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -5, -1, 3 in increasing order.\nAnswer: -5, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 2:20 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2039 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.5 (b) -1\/11 (c) 4 (d) -10 (e) 924 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -134*x + 5172 wrt x.\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/987 and 41\/150?\nAnswer: 49350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 3 = 549. Suppose -j - 69 = -5*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkkxkkkkkkxkkkkkkk. Give prob of picking 3 x.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1433.875 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94513*l**2 - 1257370*l**2 - 654503*l**2.\nAnswer: -1817360*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 2, 14 in decreasing order.\nAnswer: 14, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 + 30*b**2 - 4*b + 65. Let l be r(15). What is the nearest to 8 in 19, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30315, 30368, 30461, 30594, 30767, 30980, 31233?\n\"Answer: 20*t**2 - 7*t + 30302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19366*b**2*s**2 - 41*b**2 - 6*b - 1 wrt s?\nAnswer: 38732*b**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 2\/13 (b) -1\/5 (c) -186 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 53, 71, 63, 35, -7, -57?\n\"Answer: y**3 - 19*y**2 + 68*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -930, 3\/7, -4\/3, 28?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 514948658?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 61221, 61220, 61219?\n\"Answer: -p + 61222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*i - 21 = 0, 0 = y - 3*i - 19 + 3. Let h(x) = 385*x**2 + 22*x - 21. Does 8 divide h(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -782 at least -877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -381 * 38.\nAnswer: -14478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 2*a**2 - a**2. Let f(k) be the third derivative of -31*k**5\/10 - 254*k**2 + k - 5. Calculate f(n(m)).\nAnswer: -744*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-7)\/(f\/((f**(-6)*f)\/f)*f) assuming f is positive.\nAnswer: f**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 126 * 0.3\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**3*v**3 - 40*f**3*v - 8916*f**2*v**2 + 298857*v**3 + 3*v**2 wrt v.\nAnswer: -12*f**3 + 1793142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6016a (base 14) to base 5\nAnswer: 24341121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + l - 1. Let y be v(1). Let b(k) = 7*k**2 - 194*k + 145. Let t be b(27). Calculate the greatest common factor of t and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469 - -1307?\nAnswer: 1776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -350, -794, -1440, -2390, -3746, -5610, -8084?\n\"Answer: -17*h**3 + h**2 - 328*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, m: 1, l: 1, e: 4}. Give prob of picking 2 b and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = 0, 5*a = -0*v - v + 18. Let j = 62 - 56. Let o(l) = 48*l - 52. Let w be o(1). Put j, v, w in increasing order.\nAnswer: w, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**5 - 944435*m**3 - 2309781*m**2 wrt m?\nAnswer: 60*m**2 - 5666610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 44 + -5 + (20 + 11 - 24)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7089*g*v**2 - 36*g*v - 2270*g - 43*v**2 + v + 113825 wrt v?\nAnswer: -14178*g*v - 36*g - 86*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1870 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(500) + sqrt(500) + -3)**2 - (-3*sqrt(5) + -5)) + -3*4*(sqrt(5) + sqrt(25)\/sqrt(5) + sqrt(5) + 2))*-2.\nAnswer: -11940 + 918*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 189 + -122. Let n = 88 + t. Let s = n - 155.0045. What is s rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(513) - -1*sqrt(513))\/((sqrt(60)\/sqrt(4))\/sqrt(5)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 269*x**2 + 14*x - 33. Let r be m(2). Let b = r + -729. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 d when four letters picked without replacement from {d: 3, h: 9}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/4176 and 89\/18248772.\nAnswer: 218985264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4145888?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v + 8. Let m(s) = 11*s + 15. Let d(q) = -3*m(q) + 5*z(q). Let w be d(-11). Suppose w*p - 1197 = 19*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68342.\nAnswer: 2, 34171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-84)\/10)\/(6\/(-585)). Suppose i = 5*p - a, 2*i - 831 = -5*p + 6*i. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {p: 5, q: 3, x: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from {l: 1, i: 1, a: 2, n: 1, c: 2, t: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 - -6. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-27))\/(76\/342). Put -7, -6, -5, c in descending order.\nAnswer: c, -5, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 6*t**2 + 4*t. Suppose 0 = -2*k - 4 + 2. Let b be (4 - 3)\/(k\/5). Let i be p(b). Let u(g) = g**2 - 7*g + 6. Calculate u(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19d49 + 242?\nAnswer: 1a08b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*z**2 + 161*z**2 - 1386*z**2.\nAnswer: -1035*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2040\/(-17)*68\/(-170).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*b**2 + 4*b**3 - 2 - 57*b**2 - 5*b**3 + 1 - 31*b**2 in the form o*b + a*b**3 + j*b**2 + x and give j.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4007 = -v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10247.\nAnswer: 10247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 293 + -227. Suppose 0*x + 19 = x + 2*h, 4*x - n = -3*h. Solve -2*r - 2*v + 1 - 3 = 0, -3*v - x = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298*b - 69*b + 130*b + 663*b.\nAnswer: 1022*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24850 (base 14) to base 5.\nAnswer: -10330241","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2025)*2 + sqrt(2025)))\/(-6*(sqrt(605) + (sqrt(605)*1 - sqrt(605)))).\nAnswer: -45*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 - w**3 + 4*w**3)*(-195 - 669 + 83).\nAnswer: -1562*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 40*s**2 - 24*s + 38. Is 6 a factor of z(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1212252\/19 or 63803?\nAnswer: 63803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -11*r - 17. Let l be 0 - (-7 - (-2 - -1)). Let c(d) = -5*d - 8. Suppose -65 = -162*t + 167*t. Calculate l*j(u) + t*c(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 + o**4 + 0*o**4 + 4*o**3)*(46 + 359 + 124).\nAnswer: -529*o**4 + 2116*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -6*j + 45, -2*j + 429*m + 51 = 424*m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 4. Suppose -w*q - 3 = -15. Suppose -48 - 57 = -q*l. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2533579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*k. Let f(s) = s - s - s + k. Let w(b) = 6*b**2 - 8*b - 8. Let a(j) = -4*j**2 + 5*j + 5. Let u(r) = -8*a(r) - 5*w(r). Determine u(f(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**2\/2 + 1. Let n(i) = 22*i**2 - 13*i**2 - 19*i**2. What is n(z(s))?\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -4 - (-9 - -3)) + (-10 - -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/443 - -7543\/1772. Find the common denominator of k and -47\/37.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooobbbb. What is prob of picking 2 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k = 8 + 16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/3 - 7*h + 234.\nAnswer: -(h - 18)*(h + 39)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37633912 to the nearest integer?\nAnswer: 6135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + -4*(4*(sqrt(176) + 0) + -1*(sqrt(176)*2 - sqrt(176)))**2 + 5)*-1.\nAnswer: 6332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4*g + 737 + 2279, 5*g = 3*x + 4529. Which is smaller: -1516 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 1, -553107, -4 in descending order.\nAnswer: 12, 1, -4, -553107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**5\/5 + 6*p**4\/5 - 24*p**3\/5 - 14*p**2\/5 + 12*p\/5 = 0.\nAnswer: -3, -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11325429\/12905 - -4388\/5. Is j equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 141\/9*(3 + -7). Suppose 0 = -0*a - 2*a - 10, -2*x = 4*a - 104. Let h = p + x. Is -2\/7 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 261 (b) -0.1 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**5\/20 - 11*a**4\/12 - 3*a**3\/2 + a**2\/2 - 2*a. Does 13 divide x(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 6:43 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4505 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 11*u - 123 = 7*u, -u = f - 25. Calculate the remainder when 1516 is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 7*v + 1. Let k be j(5). Is k\/(4\/(60\/3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-300)\/10*(-49)\/2. Let s be (8\/r)\/(6\/1945). Let m = 34\/49 + s. Find the common denominator of m and -27\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 + 877*w\/2.\nAnswer: w*(w + 877)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14495, 57958, 130395, 231794, 362143?\nAnswer: 521430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -1\/30*p**6 + 0*p**4 + 4*p**2 + 0*p**3 + 0*p**5 - p + 0. What is the first derivative of a(v) wrt v?\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 515205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.517822 - 57.751638. Let h = k + 58.22. Let r = -0.05 - h. What is r rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 2\/9, -8\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3666603, -7333197, -10999799, -14666415, -18333051?\nAnswer: -21999713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1767 - -0.17669199. Round v to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, 12 in increasing order.\nAnswer: 4, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 37 (c) -11 (d) -4 (e) 1\/352\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/11? (a) 83 (b) 46 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38797.2 + -38797. What is the closest to z in -3\/7, 384, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-144)*(-36)\/(-24)*-2.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.6 - -7.4. Let a = j - 5. Let z = -16 - -18. What is the closest to z in 0.1, -2, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t - 4. Let h(g) = -2*g - 1. Let w(k) = 12*h(k) - 3*v(k). Let m(f) = -24*f**2. What is w(m(a))?\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2495.545 rounded to the nearest ten?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**5\/120 - 5*i**4\/6 + 41*i**3\/12 - 242*i**2. Factor v(r).\nAnswer: -(r - 1)*(r + 41)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573442620.\nAnswer: 2, 3, 5, 9557377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 1\/55, -5, -1\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36299 + 108873. What is the highest common factor of 262 and y?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 11*b + 22. Let p = 24201 + -24203. Determine u(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100001001 - -10110000111110101?\nAnswer: 10101111011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -33*m. Let y(c) = 51*c**2. Give y(d(a)).\nAnswer: 55539*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 11:19 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/144 and -31\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2 (b) -1\/912 (c) -1\/60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - -1. Suppose -96 = -2*y + 3*z, -4*z - 35 = -y + p. What are the prime factors of (1\/2)\/(2\/y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*l - 4*m, -l + 34*m - 38*m = 5. Suppose 6*n + 3 - 9 = 0. Put n, l, 8 in descending order.\nAnswer: 8, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/(-380)*(-15)\/3)\/(29\/(-2))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*2 + 220\/20. Let c be 7\/(-1)*((-24)\/j + 2). Calculate the least common multiple of c - ((-280)\/(-88) + (-2)\/11) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 122656 = 3*j, 0 = -2*j - 32*s + 28*s + 81776. List the prime factors of j.\nAnswer: 2, 3, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 * 0.1\nAnswer: -6.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n*n**(-5\/4)*n)\/(n**3\/n))\/(n**(1\/3)*n**(1\/2)))\/((n**(1\/4))**31)**2 assuming n is positive.\nAnswer: n**(-187\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + o)*(-2 + 10 + 1) + (1 - 1 - 3)*(20*o - 19 + 20 + o)*(1 - 1 + 2).\nAnswer: -117*o - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -292.3 - -288.3. Put 3, -5, 0, q, -1\/2 in decreasing order.\nAnswer: 3, 0, -1\/2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/15)\/(5\/(-100)*-4). Solve 0 = 51*h - 52*h - g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 35. Let w be i(17). Suppose -3*u + w - 6 = 0. Let d(v) = -v - v + u*v. Let a(l) = -6*l**2. Give d(a(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - (-6)\/(-6))\/2. Let g be (-15)\/(m + 0\/(-1)). Sort -1, 3, g, 6 in ascending order.\nAnswer: -1, 3, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*k - 265676 + 267971 = 0 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -247 + 234.7. Let q = n + 21. Let x = q + -7.84. Round x to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - -91. Is v - 4\/(-5)*-5 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -451, -438, -417, -388, -351, -306, -253?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 26.5. What is the second biggest value in z, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*g + 43 = 0, 0*k - 5*k + 33 = -g. Let h = -1 + 7. What is the least common multiple of k and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 260995*k**2. Let t(f) = 523*f**2. Determine q(t(w)).\nAnswer: 71389701355*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 1\/10*b**6 + 0 + 0*b**3 + 0*b**5 - 1\/2*b**4 - 7*b + 3\/2*b**2. Factor f(k).\nAnswer: 3*(k - 1)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 293*u**4\/2 - 362*u**2 + 238*u + 2. Differentiate t(k) with respect to k.\nAnswer: 3516*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(-10) + 2 - 93\/315. What is the third biggest value in 0.2, 0.5, 2\/15, w?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1248041?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -125.04 times 700\nAnswer: -87528","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1434827 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13421495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 + 5)*(j**5 + 0*j**5 - 3*j**5) + 30*j**2 - 14*j**2 + 4*j**5 - 1 - 18*j**2.\nAnswer: 12*j**5 - 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5211 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 52. Let z(j) = j**2 + 48*j - 2. Let v(y) = 8*y**2 + 288*y - 12. Let t(m) = -v(m) + 6*z(m). Give b(t(q)).\nAnswer: 2*q**2 + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 761.2237 milligrams?\nAnswer: 0.7612237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 6, 2, 3\/160?\nAnswer: 3\/160","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 5*t - 2*u, u = -2. Suppose -5*o + 20 = 5*n, 2*n = -o - 2*o + 6. Let l be 2\/3 + n\/(-9). Is t at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -13.671, 4 in decreasing order.\nAnswer: 4, -1, -13.671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**2 - 3*l + 0*l**2 - 1 + l**3 + 8 - 2*l. Let u be z(-6). Is 2 + (u - (1 - 2)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-12) + (-1)\/(-3). Suppose 2*q - 5*q + 15 = w. Let z = 0.22 + 0.08. Which is the second biggest value? (a) q (b) 0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - (sqrt(130) - (1*sqrt(130) + sqrt(130))))\/sqrt(10) - sqrt(13)) + (sqrt(325)*5)**2.\nAnswer: sqrt(13) + 8125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(108) + 1.\nAnswer: 6 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/2935?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -822832?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j*k**2*t**2 + 18*j*t**2 + 22680*j + k**2*t**2 - 2*k + 219*t**2 + 2731*t wrt j.\nAnswer: 2*k**2*t**2 + 18*t**2 + 22680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 430990984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/7 + 6*q**2 - 93*q\/7 + 48\/7.\nAnswer: 3*(q - 1)**2*(q + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 933*p + 0 - 2.\nAnswer: 933*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 3*z - 1527 = 2*l, -3*z - 5*l = -1548. Suppose 0 = -7*g + 490 + z. Is 22 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/4*(-64 + 18) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -166 and 269.607.\nAnswer: -44754.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27695408.\nAnswer: 2, 13, 47, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1559209590570 and -0.89.\nAnswer: -1559209590570.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 + 7 + -4 - -16) + (-5 - -1) + -34.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.11, 0.076, -1\/7?\nAnswer: 1.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6*r + 3. Let z be o(-8). Suppose z = 3*c - 36. Solve 4*x = 16, -5*d - 2*x + 3*x = c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 - ((0 - -24) + (73 - 110)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7920)*2 - sqrt(55) - sqrt(385)\/(sqrt(28)\/sqrt(4)))\/((sqrt(88) - sqrt(88)*4*3)\/sqrt(8)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9596 and 0.19?\nAnswer: 1823.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**5 + 9*f**4 - 27*f**3 + 27*f**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2512928461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) 181\/4 (c) -325 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 - 12*z - 42. Let q be g(9). Let v = 13 - 15. Let x(j) = -2*j**3 - 4*j**2 - 3*j. Let r be x(v). Calculate the highest common factor of r and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -644*v**3 + 8 - 23*v**2 + 327*v**3 + 33*v**2 + 381*v**3 - 4 wrt v.\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 3*x + 83, -2*x + 13 = w - 5. Let z = 29 - w. Calculate the remainder when z is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 5*y**2 - 14*y + 5. Let c be m(7). Suppose 0 = -c*r + 2*r + 12. Factor 2*a**4 + a**r + a**4 + 0*a**4.\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 17*s**3\/3 - 44*s - 21. Let j(p) = -17*p**2 + 45. Let k(w) = 5*a(w) + 6*j(w). Find the first derivative of k(b) wrt b.\nAnswer: -34*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84127591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 4*v + 4. Let o(m) = -m**3 - 3*m**2 + m - 1. Let s be o(-3). Let q be l(s). Let d = q - 2. Calculate the highest common factor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 4*m - 10 + (-2*m + 1 - 1)*(1 - 3 + 3) + (15*m + 38 - 38)*(-27 + 72 - 21))*(-2*m + 3*m - 3*m).\nAnswer: -708*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1161, -432, 5, -1.\nAnswer: -1161, -432, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3532469281 rounded to the nearest one million?\nAnswer: -3532000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, 20, 114, 298, 602, 1056, 1690, 2534?\n\"Answer: 5*k**3 - k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 128 = 5*m + 157, -5*w - 10 = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-133934911.\nAnswer: 66967455.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 6:50 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -2. Let s(y) = 11*y + 3. Let b(h) be the first derivative of -2*h**2 - h - 3. Suppose 0 = -14*f + 4*f - 30. What is f*s(a) + j*b(a)?\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77)\/(-132) - (-1 + 10\/8)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, l: 2, u: 2, d: 11}. Give prob of sequence ll.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 7922.\nAnswer: 31688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/21 + 652552*j + 1117788295848.\nAnswer: 2*(j + 3425898)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Factor z**5 + 24*z**4 - 3*z**3 - 70*z**2 + 48*z.\nAnswer: z*(z - 1)**2*(z + 2)*(z + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002113816565 rounded to seven dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.108 - 0.108. Let z = -37\/112 + 3\/16. Which is the fourth smallest value? (a) -2 (b) 1 (c) z (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -127*c + 128*c - 1, -4*y = 5*c - 19 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.34 - 4.66. Suppose -9 = -f - 2*f, 5*h - 59 = -3*f. What is the closest to 2\/5 in g, 4, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2985, -0.3, 8\/5, 0.1, -1?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 + 580*b**2 + 2960*b - 2970. Calculate l(295).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5608 + 1487. Suppose -a = 46*s - 39203. What are the prime factors of s?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 30330054?\nAnswer: 30330102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n - 39*n + 3*w = -200, -n - n + 2*w - 2 + 2 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10922156?\nAnswer: 2, 7, 390077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 5*y**2 - 6*y. Let q be r(-6). Solve 3*t = q, 0*s + 3*t + 10 = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -138 + 0*u + 0*u**2 - 5*u**3 - 3\/2*u**4. What is the third derivative of g(m) wrt m?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + -12)\/(3*1\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + (16 - 34) + (-3 - -6) + -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-1 - (-8)\/6). Let s = -0.21 + 0.2. Let k = -0.21 - s. Which is the nearest to j? (a) 4\/3 (b) 0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.4, 0.4, -3, -2\/29?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/12*561\/(-34) - (-8)\/(-16).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 v, and 1 t when four letters picked without replacement from zvtchcztthtttcttt.\nAnswer: 27\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.187 from -0.25342.\nAnswer: -0.06642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 80197.23 grams in micrograms?\nAnswer: 80197230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10620\/7965*(-3)\/92\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, r: 3, y: 8, o: 6}. Give prob of sequence fro.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 - 18 = -5*g + 4*t, 3*t = 5*g - 108. Calculate the least common multiple of g and 1 - (5 + 160\/(-1)).\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 + r. Let s(y) = 3*y**3 + 8*y**2 - 15*y. What is m(a) - s(a)?\nAnswer: -a**3 - 8*a**2 + 16*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from puscp. What is prob of sequence scpu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 13*s**2 + 5022*s - 30154. Calculate b(6).\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0928 and -5179035.\nAnswer: -5179034.9072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1319175150.\nAnswer: 2, 3, 5, 8794501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13773 + 14448. Calculate the greatest common divisor of 495 and w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5961 - (-4)\/(-2) - 320\/40.\nAnswer: 11, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 985 divide 1800848905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (137*k - 137*k - 119*k**2)*((-2*k - 3 + 3)*(1 + 0 + 1) + k - 3*k - 2*k) - 2*k**3 + k - k + (0 + 0 + k**3)*(0 - 3 + 4) - 2*k**3 + 0*k**3 + 6*k**3.\nAnswer: 955*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -5\/3, -27, 5, -70?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -517258 or -517259?\nAnswer: -517258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47485*m + 33*m**2 - 47485*m + 2*m**2.\nAnswer: 35*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -3*l**5\/20 + 12*l**4 - 93*l**3\/2 + 69*l**2 + 7*l - 1. Factor d(x).\nAnswer: -3*(x - 46)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30899220 to the power of 1\/2, to the nearest integer?\nAnswer: 5559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 15*f + 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13488220 divided by 33890\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 228\/5 + -46. Let p = -3.11 + 0.11. Which is the third biggest value? (a) o (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 6:54 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*c - 275 + 275.\nAnswer: 262*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3171 times 0.2\nAnswer: 634.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5294.23*-35.\nAnswer: 185298.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -1 + sqrt(720) + (-4 + sqrt(720))*3)*2 + 3)**2.\nAnswer: -3648*sqrt(5) + 46441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 - -0.16. Let x = 0.140042 - a. Round x to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -504, -474, -418, -330, -204, -34, 186, 462?\n\"Answer: g**3 + 7*g**2 + 2*g - 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgz when three letters picked without replacement from hzgez.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 6*x - 7. Let u be d(-7). Are u and -2\/15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 24*s = 0. Suppose s = -z - j + 9, -15 - 1 = z - 4*j. Suppose 3*g - g = 8. Is g >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 2019251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 - 3169*n**2 - 35 + 3169*n**2.\nAnswer: -2*n**3 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {c: 2, l: 1, b: 11}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 12924003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00207935 to 4 decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -10*i + 1. Let c be j(-10). Suppose -4*k - 5 = -c. Calculate the remainder when 46 is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 7*d**2 + 8*d - 8. Let h be (-10)\/2*-1 + 2. Is 12 a factor of c(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -54, -109, -164, -219?\n\"Answer: -55*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1257 + -1213. Calculate the remainder when 119 is divided by i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -54.961, -2\/7, 0.1, -2\/21, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12535, -12597, -12659, -12721, -12783, -12845?\n\"Answer: -62*t - 12473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 4. Find the second derivative of m*c**2 + 2*c**2 + c + c**2 wrt c.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, n: 2, h: 10, y: 1}. What is prob of sequence ydd?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*f**3*k**3 - 6281*f**3*k + 37*f**2*k**3 - f*k wrt k.\nAnswer: -174*f**3*k + 222*f**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5821, -5773, -5709, -5623, -5509, -5361?\n\"Answer: x**3 + 2*x**2 + 35*x - 5859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrwm when four letters picked without replacement from hzwhmirz.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 3*l**2 + 64*l + 374. Let i be x(-5). Solve i*u - 36 = -4*k, -3*u - 4*k = -8 - 23 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -47 - (-81 + -37).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-70)\/(-6))\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + q - 23. Let a be g(0). Let c = a + 26. Suppose c*y - 3 = 12. Put 1, y, -4 in increasing order.\nAnswer: -4, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28 + 13d961?\nAnswer: 13d937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144849 and 11024?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 4*m**2 + 6*m. Let j be r(5). Let c = 29 + -16. Solve 0 = 4*b - 5*k - c, 0 = b + j*k - 3*k + 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c1502 + -2?\nAnswer: -1c1504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i. Let y(k) = -6 + 9*k + 4 + 1. What is -7*t(z) + 3*y(z)?\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500 is divided by 2\/((143\/234)\/11)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 - (-1 - (11 + (-13 - (-4 + 0) - 6))).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8220, -8167, -8112, -8055, -7996, -7935?\n\"Answer: v**2 + 50*v - 8271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 557 = -d, 0*d + 549 = d + b. What are the prime factors of d?\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 9:03 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1317233 to two dps.\nAnswer: -1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(1155\/308)\/((-6)\/4)*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-5\/2)*t*t\/(t*t**(-4)\/t*t)*t**(-3)\/t*t*t*t\/t**(-3)*t assuming t is positive.\nAnswer: t**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-2) - (4 + -4 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(13) - (sqrt(13) + -1))*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3287*d + 6734*d - 3370*d.\nAnswer: 77*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - ((-30)\/(-12))\/((-2)\/4). Suppose -3*i + 18 = -4*r, -i + q = -3*r - 4. Solve -3*y - 5 = b - 8*y, -2*b + 4*y = -i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**4 + 55566*s**3 + 385864186*s**2 - 1157981550*s + 772061796 = 0. What is s?\nAnswer: -13893, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, w: 2, h: 4, d: 1}. What is prob of sequence wdwg?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r + 12320 = 106*r. Calculate the least common multiple of 10 and r.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/14 + 13\/2. Let j be ((-3)\/y)\/((-5)\/110). Suppose 3*s + 8 = t, -5*t + j = -3*s - 5. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 1) + (-1 - -6). Suppose 8 = -g + 3*g - 5*b, -4*b + 26 = 2*g. Let z = -6 + g. Solve -x + z*h = -m*x, -x + 18 = -3*h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*(1 - 19)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -48, 214, 476, 738, 1000?\n\"Answer: 262*o - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 495 divide 3434805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/(-1))\/(-35)*2)\/(-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*s + 97, 4*v + 129 = -0*v + 5*s. Let a = 66 + -34. Let z = a + v. Sort 7, 3, z in increasing order.\nAnswer: z, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 244*w = 293*w - 23936 for w.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 89842213 to the power of 1\/2, to the nearest integer?\nAnswer: 9479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*u + 3*z, -5*z = -u + 4*u + 15. Let m be 192\/20 + (-2)\/u. Solve -n = -3*n - m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 + 1002 = -52*g - 5*g for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**3 - 356791724*l**2 - 713583442*l - 356791720 = 0.\nAnswer: -178395860, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 0 - 59045*x + 0 + 59045*x.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -294529, 0.5, 0.1?\nAnswer: -294529","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**6\/60 - j**5\/20 + j**4\/8 - 2*j**3\/3 - 6*j**2. What is the units digit of n(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7842941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -79a63 - 5?\nAnswer: -79a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 4, -5, 0.\nAnswer: -5, -4, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 + 22. Let v be (6\/(-4))\/(9\/w). Solve -v = 2*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1785 + -1782. Suppose 239 = 3*y + 5*z, 5*y + 3*z - 249 = 2*y. List the prime factors of (i*1)\/(6\/(y + 2)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -14. Let s(y) be the second derivative of -y**3\/6 + 3*y**2 - 2*y. Let h be s(8). Which is the nearest to 0.2? (a) d (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + m**2 - m + 3. Let w be b(0). Let d(r) = 2 - w*r - 2. Let y(h) = h. Give y(d(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1851806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 8. Let y(w) = -w**2 - 7*w**2 + 12*w**2 - 6*w**2 + 4*w**2. Let v(s) = -2*s**2 + s - 1. Calculate a*y(d) - 2*v(d).\nAnswer: -2*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 66*s**3\/7 + 32*s**2\/7 - 8*s\/7.\nAnswer: 2*s*(3*s + 2)*(11*s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 4\/3 (c) -6 (d) -4 (e) 88\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 4:06 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -183 + 182.99999874. What is m rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -93.802581069.\nAnswer: -91.802581069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = x - 0*f - 36, 5*x = -f + 159. Find the first derivative of -10 + 40 - 7*p - 13*p - x*p wrt p.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*q - k + 5, 0 = -4*q - 5*k - 25. Let s be -84 + (q - (-5 + 3)). What is s rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10042 or 0.1?\nAnswer: -10042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*a**3 + 2 + a**5 - 6*a**5 - 1296*a**2 + 1296*a**2 + (-2*a + 2*a - a)*(-2*a - a**4 + 2*a) + 2*a**4 - a**5 + 0*a**5 - 4*a**4.\nAnswer: -5*a**5 - 2*a**4 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*m - 40 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1348941 and 6765.\nAnswer: 6744705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -256.5999575 + 256.6. Round y to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y. Suppose 6*v - v - 25 = -5*b, b = -5*v + 1. Let k(i) = 6*i + b*i + i - 20*i. What is k(t(w))?\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145*b**4*c + 149*b**4 - 2*b**3*c + 32*b**2*c - 12*b*c + c wrt b.\nAnswer: -3480*b*c + 3576*b - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -41*l**2 + l - 2. Let n(v) = -40*v**2 + v - 2. Calculate -4*n(y) + 3*u(y).\nAnswer: 37*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63496.2 millilitres to litres.\nAnswer: 63.4962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -41086.\nAnswer: -7\/41086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -270331 or -1351654\/5?\nAnswer: -270331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -156 - -179. Are 23 and x equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2*x - 40 - 3, x = 1. What is the greatest common divisor of t and 7515?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 21*x**2 + 13*x - 29. Let v be q(-20). Is 112 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -706, -716, -732, -754, -782?\n\"Answer: -3*s**2 - s - 702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-5 - 0 - (30 + -39))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0412702 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -9, -11, 14241 in decreasing order.\nAnswer: 14241, 6, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v + 9. Let g(h) = -22*h + 2876. Give 2*g(j) + 14*p(j).\nAnswer: -2*j + 5878","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -246013\nAnswer: -8\/246013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-483)\/184 - 6\/16. Let v(f) = -4*f**3 + 3*f**2 - 3*f - 3. Let j(n) = -9*n**3 + 7*n**2 - 7*n - 7. Let i = 25 + -18. Calculate b*j(s) + i*v(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 867? (a) 170 (b) -3\/2 (c) -0.114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**3 + i**2 + 4. Let m(o) = 32*o**3 + 12*o**2 + 32. Calculate -24*l(y) + 3*m(y).\nAnswer: 24*y**3 + 12*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 1710*y**2 + y + 5. What are the prime factors of z(-2)?\nAnswer: 3, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l + 0*l + 8*l - 5 - 7*l. Determine y(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 253773 by -454.\nAnswer: -253773\/454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -97 (c) 24579\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 2*g**2 + 24*g + 35. Let c be d(-2). Solve -5*p - 27 = -2*y, c*y + 4*p - 57 = -74 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-240)\/2)\/(-6*5\/765). Which is bigger: b or 3063?\nAnswer: 3063","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37632 and 2592?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g - 3. Give h(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-1992)\/(-5) - (24\/(-15) - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/294462 and -65\/5166.\nAnswer: 294462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 5*g + 5. Suppose h - 6 = -0*h. Let j be r(h). Let y(w) = -13*w**3 + w**2 - 1. Calculate y(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-30) - 27\/15. Let c be 380\/8*t\/(-5). Solve -5*m = -5*o - 35, -5*o + 6*o = 4*m - c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 - 4*a + 38 to the form v*a + k and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.01 - 22.21. What is the closest to -2 in 4\/7, -0.3, -0.1, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 272*n - 42*n - 4085490. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l + 1. Let h be u(1). What is the second derivative of 6*g**4 + 2*g - h*g**4 + g wrt g?\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)\/(sqrt(6)\/sqrt(3)))\/sqrt(8) - (sqrt(700)*1 - sqrt(700))*6)*-3.\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51214141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 42 - t - 20 - 13.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 18*x = 19*x - 17, -27 = 6*q - x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 + 0*b**3 + 0*b**3 + (0*b**2 + 3*b**2 + 4*b**2)*(-3*b + 2*b - b)*(93*b**2 - 272*b + 272*b).\nAnswer: -1300*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 t, and 2 f when four letters picked without replacement from {p: 1, t: 1, f: 2, u: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 2. Let s(t) = -14*t - 37. Let z be s(-3). Let x(g) = -43*g - z + 22*g + 19*g. Suppose -c + m - 1 = 5*m, -3*m - 12 = -3*c. Give c*x(k) - 8*f(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f. Let a be -1*(8\/4)\/(-2). Calculate m(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 168 = 4*g. Suppose g = 4*y - 16. Let v be 2 + -4*y\/(-4). Solve -v = t - 6*t - z, 4 = t + 4*z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -953435 by -27241.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4))**(-50)*(b\/(b*b*b\/b**(-2\/11)*b*b))\/b**(-2\/3))\/((b*b**1)**(-37)\/(b**(1\/4)\/b*b\/((b**(2\/3)\/b)\/b))) assuming b is positive.\nAnswer: b**(3721\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 233*h + 254*h - 680*h + 226*h as u*h + b and give u.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 957 = 954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5556743\/5 - 6\/10. Suppose -2*b + u = 31311348. What is b rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 3 - 17. Let m be (-2)\/2 - (-2 + 7 + a). Let d(y) = 12 - y**2 + 2*y + y**3 + 6*y**2 - 11. Determine d(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3246 + 3272. Put c, 1\/8, 1, -0.5 in decreasing order.\nAnswer: c, 1, 1\/8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -26*b - 2388. Let w be i(-94). Solve w - 164 = 54*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -25*l**2 - 8*l + 1. Let a(c) = 113*c**2 + 33*c - 5. Let h(j) = 2*a(j) + 9*m(j). Determine h(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hhuuuuuuuuhhuuuhhuu?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((3 - 5) + 7)*1 - 6. Let o = -1\/57 - 6\/19. Which is the closest to y? (a) -2 (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l - 1. Let n(z) = z**3 - 7*z**2 + z + 5. Let h be n(7). Suppose h*t = 16*t + 48. What is the remainder when x(t) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 14*k**3 - 12*k**2 - 14*k + 8. Let x(s) = -5*s**3 + 4*s**2 + 5*s - 3. Let f(y) = -6*l(y) - 17*x(y). What is f(-5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2420, 13974, 34658, 64472, 103416, 151490, 208694?\n\"Answer: 4565*b**2 - 2141*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i*i**(-5)\/i*i*i*i)))\/i**15*i**14*i*i**(-24) assuming i is positive.\nAnswer: i**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 2*p**2 - 3*p + 2. Let b be g(2). Let w(t) = 5*t**2 + 15*t + 19. Let v be w(-2). Sort b, 3, v, 1.\nAnswer: b, 1, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 532 and 57904?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*m - 153, 2*m - 3*m + 35 = 5*j. Suppose -5*q + 17 = -0*q - n, 2 = -q + 2*n. Suppose -q*y - m = -58. Which is greater: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**2 - 59120*i + 2842368 = 0?\nAnswer: -29608, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7871 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -0*g - 5*g - 6, 0 = -5*g - 2*z + 2. Suppose 0 = g*n - 37 - 53. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 j when four letters picked without replacement from {j: 2, m: 4, z: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*f = -0*j - 2, 0 = -2*j + 2*f - 4. Let d be 45\/(-6)*j\/((-15)\/18). Is 2261\/d + 4\/(-36)*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a - w = 40, 0 = -a + 2*w - 10. Let o be (-1 - 33\/a) + -1. Is 1 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2144032696810697 - -2144032484153085.0000054. Let g = 212657646 + r. Let h = -34 + g. Round h to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -657, 5, -3.\nAnswer: -657, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(76)\/sqrt(4) + -1 + 4.\nAnswer: 3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44, 133, 368, 821, 1564, 2669?\n\"Answer: 12*f**3 + f**2 + 2*f + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(-x - x + 0*x)*(10*x**4 - 4*x**4 + 15*x**4).\nAnswer: 84*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 8. Let s be (-1 + 1)*2\/(-4). What is z(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-3 - 5*m + 3)*(362 + 25 + 589 - 69).\nAnswer: -9070*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v, 3*z - 25*v = -23*v + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3557003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 209.07359 to 1 decimal place.\nAnswer: 209.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*v - 40, -3*j + 9 = -v - 15. Let t be 5709\/(-88)*j\/(-6). Let a = t - 70. Find the common denominator of a and -97\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - g**2 + 3*g - 3. Let h be 64\/20 + 1\/(-5). Suppose 16 = n + h*n + 4*w, 4*n - 4*w = 0. Suppose 0 = -c + 4 - n. Give b(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**4 + 77*d**2 + 3*d**3 - 2*d**3 - 76*d**2 as u*d**4 + j*d + t*d**2 + p*d**3 + r and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 15 = 3*n + 5, 180 = 5*f + 5*n. Calculate the remainder when f is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10 + (6137\/(-595) - -9).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 23. Suppose -o*f = -0*f - 935. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79062730?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**9\/15120 - l**8\/5040 - l**7\/630 + 7*l**5\/60 - 7*l**2. Let v(d) be the third derivative of c(d). Factor v(f).\nAnswer: 4*f*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5*y = 50, 5*c + 2086 = 3*y + 1090 + 1034 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5.6, 3, -0.4 in decreasing order.\nAnswer: 3, -0.4, -1, -5.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0.2. Let o be -2 + (12144\/6)\/4. Let j = 502 - o. Which is the nearest to g? (a) j (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2, 31*q - 196 = 30*q - 3*p. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-10) + (-1890)\/675?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 6*y**2 + 6*y - 5. Let m be k(5). Solve m = 2*x + 4 + 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -377586 (base 10) to base 13.\nAnswer: -102b31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -26*j**2 + 2*j. Let d(v) be the second derivative of -v**3\/3 - 169*v. Calculate s(d(w)).\nAnswer: -104*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 11:42 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 0*g**3 - 2 + 0*g**4 + 20*g**2 + 0*g - 1\/6*g**5. Let d(j) = 7*j. Determine d(s(z)).\nAnswer: -70*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6 = -0*f. Let m(s) = 4*s - 15*s - f + 13*s + 1. Let n = 98 + -94. Determine m(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1430 - -1429.89. What is the nearest to c in -3, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13320917 + -13320896.999991. Let q = 19.973 - -0.027. Let z = a - q. Round z to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 20. Suppose 3 = 6*d - t. Factor -o - o - 2*o**d + 7*o**3 - 3*o.\nAnswer: 5*o*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10615.602391 to the nearest ten.\nAnswer: 10620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -6. Suppose -20 = 4*u, -2*r = -0*r + b*u + 16. Is 1\/r - (-43)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (11 - (7 + (88 - 3)) - 10)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h**3 + 4*h**3 - h**3 + (-12*h - 4*h + 46*h)*(0*h**2 + h**2 + h**2).\nAnswer: 58*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 0.4, 2.95?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/132 and -19\/612.\nAnswer: 6732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33.4 + -33. What is the closest to -2\/15 in 0, -2\/13, o, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 111 - 108. What is the third derivative of 16*q**f + 1 + 24*q**3 - 1 - 42*q**2 wrt q?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1289.0000001344 - 1289. What is d rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 - 800 = -6*k. Let q(l) = -177*l + k*l - 87*l**2 - 6*l**2 + 88*l. Let c(m) = m**2. Calculate c(q(d)).\nAnswer: 8649*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 143*i - 3433. Let u be q(24). Which is the fifth biggest value? (a) 1.3 (b) 5 (c) u (d) 1 (e) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33.1999935 + -33.2. Round t to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2496*y + 29923 - 85405 - 59334 for y.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8*d**2 - 171*d - 63. Let b be l(-21). Factor b*s**2 - 6\/5*s + 2\/5*s**3 + 4\/5.\nAnswer: 2*(s - 1)**2*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2930, -5856, -8782, -11708, -14634?\n\"Answer: -2926*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/((3\/(-1))\/6). Is (-721)\/(-49) + 4\/q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 5*d**2 + 2*d + 7. Let b be y(-5). Let l(m) = -11*m**3 + 7*m**2 - 7*m + 7. Let v(u) = -5*u**3 + 3*u**2 - 3*u + 3. Give b*l(q) + 7*v(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 - 1 + 4*g**2 - 4*g**2 - 2*g to a + s*g + n*g**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/8 + (-12)\/80. Let d = -17\/45 + 7\/9. Let i = -28 - -25. Which is the closest to d? (a) q (b) i (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 6*q**2 - 5*q + 4. Let t be 6 - 1 - 1\/1. Let o(b) = 3*b - 4 + t*b - b - b**2. Let d be o(3). What is m(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 36 + 19 - 2*f**2)*(-f**3 - 13*f + 3*f + 0*f).\nAnswer: 2*f**5 + 44*f**3 + 240*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) 3\/4 (c) -3028 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, 1, -5.8, 6, -57?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -858 + 13 = -542*b - 8975 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 633.6 + -565. Let v = -68.42967 + r. Let s = -0.17 + v. Round s to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -522*z**3 + 2*z**2 - 1. Let v be y(-1). Suppose -1363 = 3*q - v. Round q to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 6) in base 4?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uker when four letters picked without replacement from ueueerkefe?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s + 2. Let q(g) = -g**3 + 3*g**2 + 5*g. Let m be q(4). Suppose 2*w = -p + 4, -m = -4*p - 5*w + w. What is b(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**5\/50 - 3*y**4\/5 - 36*y**3\/5 - 216*y**2\/5 + 5*y. Factor p(l).\nAnswer: -2*(l + 6)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 11) in base 9?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -1\/2*t**2 + 1\/3*t**3 + 3 + t. Let q = 2 + -2. What is s(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 19. Let w = n + -13. Let o = 1 - 1. What is the closest to o in -4, w, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2910 is divided by 573?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 23951 = z, -89*c + 84*c + 4*z = -29923. What are the prime factors of c?\nAnswer: 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g + 3. Let v be 4\/(-14) - (-132)\/21. Suppose w = -3*r, 0*w + r - v = -w. Let d(n) = 6 + 0 + w*n + 1. What is -6*d(b) + 14*z(b)?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.38 + -0.08. Let m = 0.2 - p. Which is the closest to -0.1? (a) m (b) -0.3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46876 or -46875?\nAnswer: -46876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1841 - -1900. What is the remainder when 69 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**3 - 24*n**2 + 24*n + 9. Let k(b) = -5*b**3 + 36*b**2 - 36*b - 14. Let z(v) = 8*g(v) + 5*k(v). Let t be z(-13). Solve -x + 4*x - t = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 7 - 8. Let k be 14\/10 + -2 - w\/(-5). Which is the smallest value? (a) -4 (b) 1\/5 (c) k (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2323 = 5*d - 4132. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + -18*(-6)\/4. Let j = x - 11. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d + 120. Let v be 27*(3 + -4)*1. Let n be o(v). Solve p - 25 = 5*h, 4*h - 2*p + 14 = -n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 139 = -6. Suppose 2*z + 129 = n. Suppose 4*l - 36 = -4*f, 5*l - 56 = -4*f - z. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**7\/(y\/(y*y**(-3\/8)*y*y)))\/(((y**9*y)\/y)\/(y\/(y\/(y*y**(-4))))))**(2\/25) assuming y is positive.\nAnswer: y**(-27\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71 - -70.798. Let g = -11329.9 + 11330. Which is smaller: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1882*g = -1887*g + 30 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162066, -324069, -486076, -648087, -810102?\nAnswer: -972121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 16, 9, -0.1, -12\/5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 357138?\nAnswer: 357136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**2\/2 - 20. Let o(m) = 3*m. Give b(q) - o(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -1012.65369.\nAnswer: -303.796107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102240 + 25375. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**2 - c + 1. Let m(r) = -14*r**2 - 9*r + 2. Let l(n) = -m(n) + 5*y(n). Give l(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 0 - 1\/4*f**4 - 9*f - 2\/3*f**3 - 2*f**2. Let s(a) = a**2 + a. Let p(h) = -g(h) - 4*s(h). Factor p(u).\nAnswer: -(u - 2)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 minus -3800933794?\nAnswer: 3800933782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-16)\/(-6) + (74 - 77)) - -10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*f**4\/4 + 297*f**3 - 277833*f**2\/4 - 279621*f\/2 - 62250 = 0. What is f?\nAnswer: -125, -4\/3, -2\/3, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 3317875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 5*c**2 - 112*c - 551. Let v be l(-5). Solve 3*q = -3*f - v, -2*q - f = -3 + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*q - 160, -m + 4*q = -68 - 22. Suppose h - w = 2*h - 69, 5*h = -w + 349. Suppose -2*s - h = -7*s - 5*u, -m = -5*s - 4*u. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1420\/(-3124))\/((-5)\/6)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - 2912 + 2912.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 5*o = -0*l - 25, 5*o + 30 = -4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtdtddddtdt. What is prob of picking 2 t?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5\/11 + 9827740*p**4\/11 + 58966488*p**3\/11 + 117933004*p**2\/11 + 98277514*p\/11 + 2680296 = 0 for p.\nAnswer: -3, -1, 4913876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 37508?\nAnswer: -37503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g*l*o**2 + 6*g*l - g - 3*l*o**2 - l*o + 3*o**3 wrt o.\nAnswer: -4*g*l - 6*l + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w + w**3 + 5*w - w wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-5))\/(10\/(-25)). Let x(d) = 71*d**2 - 3*d - 3. Is x(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3 - 4*c**4 + 4*c**3 + 2*c - 2*c**5 + 4*c**2 - 3*c**3 = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 11*t - 801. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**4\/12 + 11*c**3\/6 - 5*c**2 + c. Let i be o(-12). Solve -14 = -i*f - f + r, -4*r + 4 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-26 - -22 - (-4 + -11 + 5))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 219*g**3 - 24*g + 7. Let u(m) = -218*m**3 + 32*m - 8. What is 4*n(f) + 3*u(f)?\nAnswer: 222*f**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/14)\/x*x*x\/((x\/(x*x**(-1)))\/x)*x)\/(x*x*x**3)**17 assuming x is positive.\nAnswer: x**(-1147\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -24931 to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k**2 + 11*k**2 - 67*k**3.\nAnswer: -67*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 451600?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 112999863768 and 5742.\nAnswer: 112999869510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29456 is divided by 323?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*l**2 + 25*l**2 + 10*l**2 - 1 - 404*l + 12*l**2 - 63*l**2 in the form z*l + k*l**2 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -198 - -342. Suppose -4*v - s = -4*p, 4*v - 2*v + 168 = 5*p. Suppose 0 = -n + p + 1. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*b + 4 + 2*b + 17.\nAnswer: 20*b + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -6. Let f = -0.06 - -0.01. Let j = -0.05 - f. Which is the nearest to j? (a) -3\/4 (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.4, -2\/3, 7 in descending order.\nAnswer: 7, 6, 0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2999, 3899, 5517, 7859, 10931?\nAnswer: 14739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 13765.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -311096?\nAnswer: 23\/311096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 1, -3, -1.\nAnswer: -3, -1, 1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03911001 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18, 8, -4, -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 108861 (base 15) in base 5?\nAnswer: 200211031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 26*i**2 + 52*i - 123. Calculate x(-24).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by (1 - -2)\/((-5)\/(-25)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 3*t**5\/5 + 3*t**4 - 17*t**3 - 90*t**2 + 2594. Determine f so that n(f) = 0.\nAnswer: -5, -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2089978267?\nAnswer: 13, 3877, 41467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.74 + -0.74. Let s = -75\/2 - -827\/22. Let c = 2.5 + 0.5. What is the second biggest value in c, u, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 967.1039 decades to months.\nAnswer: 116052.468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5224, -140.\nAnswer: -140, 1, 5224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 111?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 169027+-5716197\nAnswer: -5547170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0582 - 0.3418. Let z = 1.5 - -6.5. Let s = 7.4 - z. What is the smallest value in s, x, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*k, -11*j + 8*j - 5*k + 85 = 0. What is the lowest common multiple of 8 and j?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(-2))\/((-2)\/4). Suppose i*g - 62 = 48. Let f(l) = -g + 22 - l. Let t(b) = -7*b. Determine f(t(u)).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -0.121 (c) 4\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*d - 930*d - 350*d - 738*d = 94028 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d = -8. Let f(j) = 1 - 2*j**2 + 19*j**2 - 6*j - j**2 - 2*j**2 - 18*j**2. Let b(n) = 5*n**2 + 7*n - 2. Let u(a) = d*f(a) + 3*b(a). Factor u(h).\nAnswer: -(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5335 divided by -11\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-62)\/(-52))\/31*20.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40\/197 + 14619\/26398. What is the common denominator of q and -57\/4?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6640 is divided by 59?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/4)*o)**(-48))**(-32) assuming o is positive.\nAnswer: o**1152","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -247310*h + 989234. Give r(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/15 and -173\/244710.\nAnswer: 244710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-26)\/30 - -1)\/((-5)\/(-15)). Let z = 1718.92 + -1719. Sort n, -0.1, z in ascending order.\nAnswer: -0.1, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -14 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**5 - 10*g**4 - 18*g**3 - 14*g**2 - 4*g = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m - 2118 = -4*m - 2262 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30707 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/17, -26\/7, 0.4, 0.04?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/5 - 9*h**4\/5 - 36*h**3\/5.\nAnswer: h**3*(h - 12)*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 62457.06 weeks in microseconds?\nAnswer: 37774029888000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -604*g - 23193. What is m(-39)?\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*c**3 - 75*c + 75*c + (-2*c**2 + 2*c**2 - 2*c**2)*(29*c + 16 - 16) as z + w*c + y*c**3 + r*c**2 and give y.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(3) - (sqrt(33) + sqrt(33)*1)\/sqrt(11)) + sqrt(3))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 0, 10*m - 11*m + 4 = -2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i\/(i*(i\/i**0*i)\/i)))**(-32))**(3\/8) assuming i is positive.\nAnswer: i**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -258 + 443. Is (8 - 6) + l*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260 and 195.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/254 and -103\/3303066.\nAnswer: 419489382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*z + 4 = -2*z, 0 = z - 2. Put 1, -22, u in descending order.\nAnswer: u, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*l + 5*z - 15, 0*l - 596*z + 600*z = 2*l - l - 17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 652 = -12*u. Let i = 234 - u. What are the prime factors of i?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ssysyyyysyysyyyyyy?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 323 and 1334749050.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/7*i**2 - 2*i**4 + 18\/7*i**3 + 0*i.\nAnswer: -2*i**2*(i - 1)*(7*i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 810*a - 402*a + 70*a**3 + 876*a**3 - 1167 + 2*a**2 - 409*a wrt a?\nAnswer: 5676*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -6, -3, 3\/731, -4, -1\/4, -5?\nAnswer: 3\/731","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1263*x + 602*x - 983*x + 1933*x in the form c + u*x and give u.\nAnswer: 2815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 332 - 332.07965. Round p to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**4 + 210*j**3 - 9045*j**2 - 319210*j - 309960 = 0.\nAnswer: -54, -28, -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -6. Let v be 1\/(((-27)\/h)\/9). Let n be v - 2*143*86. Round n to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 4\/3 (b) 0.044 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k - 132*k - 150 = -72*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and 0.0852622?\nAnswer: -1.8757684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1449)\/28)\/((-1)\/(-4)). Let b be -2 + (-2 + 1 - 5). What is the common denominator of 2\/b - p\/(-12) and 61\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(5*(-8)\/(-20))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -0.5 (c) 2.123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 91 = -3. Suppose 0 = o - 5*o + 60. What is the remainder when j is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wr when two letters picked without replacement from vvwvgrrvxrr?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*r**2 - 35*r**2 - 24*r**2 - 86*r**2 - 27*r**2.\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -243)\/16 - 770\/(-50)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 0 = 24 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*l - 62 = -0*l, 3*h = -3*l + 48. Calculate the least common multiple of (0 + 3)*(-2 + 1) + (-558)\/(-18) and h.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5075163.\nAnswer: 3, 17, 11057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r**3 + 3*r**3 - 3*r**3)*(-5 + 4 + 3)*(-1 + 3 - 1)*(-16 + 1 - 22) as y*r + f*r**3 + i*r**2 + p and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -20. What are the prime factors of (u\/(-3))\/(2\/123)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 a factor of 21666799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -55856 (base 9) to base 7\nAnswer: -213210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 81637, 326534, 734695, 1306120, 2040809, 2938762?\n\"Answer: 81632*w**2 + w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 203 + -72. Let v = b - 4. Let o = 62 + v. Does 27 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3644 and 88.\nAnswer: 80168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 264 - 260. Let h(x) be the first derivative of -1\/5*x**5 - 1\/4*x**c + 0*x + 1\/2*x**2 + 5 + 1\/3*x**3. Factor h(v).\nAnswer: -v*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**3 + 53*g**2 + 29*g - 56. What is j(27)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30432 + -20a?\nAnswer: 30225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-1) - (-2 - -5)\/(-1). Let u be 20\/j - (3 + 8\/(-3)). Factor 0*g**u + 0*g + 2\/5*g**4 - 2\/5*g**2 + 0.\nAnswer: 2*g**2*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 260 = -4*w, w - 5*p + 73 = 8. Let r be 1\/(w\/10 + 0). Let i = 527\/5 - 105. What is the nearest to i in r, -1\/4, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 6 = y, -4*z = -4*y - 3*z + 44. Calculate the remainder when 18 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29*t - 28*t + 13 + 55*t - 48*t**4 wrt t?\nAnswer: -192*t**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z + 4. Let d be k(-1). Let f(j) = -j**2 + 2*j - 1. Let b(y) = -7*y**2 - 8*y + 4. Let n(o) = d*b(o) + 4*f(o). Let h(u) = -2*u. Calculate n(h(c)).\nAnswer: -44*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 336 and 1218?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*i - 15. Let n(x) = -x**2 + 6*x - 8. Let v(o) = -o**2 + 6*o - 7. Let z(j) = -4*n(j) + 3*v(j). List the prime factors of z(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2660*z - 37. What is the thousands digit of u(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 35*k**2 - k - 127. Determine d(35).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 365\/6 <= 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 60 = 4*x, -20 = 2*i - i + 2*x. Let w = -233\/12 + 3007\/132. What is the common denominator of i and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/713 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7350063, 7350057, 7350051?\n\"Answer: -6*n + 7350069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 42*k**2 + 17*k + 39*k**2 - 6 + 2 to m + z*k**2 + p*k and give z.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -54*i**3 + i**2 - 2*i + 1. Let q be g(1). Let r = q + 82. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*n**3 + 31*n - 52*n + 23*n + (-n + 5*n - 2*n)*(9*n**2 - 6*n + 6*n).\nAnswer: 5*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -100*b - 59*b - 270 - 207 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 47*r - 144. Determine n(6).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175702.\nAnswer: 2, 11, 53441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -25\/2*j**4 - j - 29\/2*j**2 - 26*j**3 + 0 = 0?\nAnswer: -1, -2\/25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3092208799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 - 10*i**2 - 8*i - 1. Let q be w(-6). Suppose -5*d - 26 = -111. What is the greatest common divisor of d and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52113887?\nAnswer: 7, 7444841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 644 and 736.\nAnswer: 5152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/3)\/(-5)*7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 2, -2510, -2, -3.\nAnswer: -2510, -3, -2, 2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3600*i + 81508 = -689*i for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27614568?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -11*r**2 + 11*r - 11. Let q(t) = -t + 14. Let s be q(7). Let v(h) = -6*h**2 + 6*h - 6. What is s*v(o) - 4*j(o)?\nAnswer: 2*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7622174555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2741207 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.16114 and -1.\nAnswer: 0.16114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/263 and -47\/4208.\nAnswer: 4208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 1, -12, -3, -5 in increasing order.\nAnswer: -54, -12, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 355461 - 2?\nAnswer: 355457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19573394*o**4 - 2*o**3 - 1402*o + 890 wrt o.\nAnswer: -234880728*o**2 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -560.2595 + 559. Let h = j + -0.0405. Which is the smallest value? (a) h (b) -3 (c) -2\/3 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9602595ml?\nAnswer: 0.0009602595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51.9 - -52. Let w = 0 + 0.2. Let t = w - 0.2. Which is the closest to t? (a) j (b) 2\/13 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11654497 + 0.7.\nAnswer: -11654496.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.57 + 0.07?\nAnswer: 12.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 344.1 + 4.9. Let h = j - 350. Which is the closest to h? (a) -4 (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*r - 464 + 140 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 755*a = 2*w + 759*a - 8, -69*a + 197 = 5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1040882, 4163548, 9367996, 16654232, 26022262, 37472092, 51003728?\n\"Answer: g**3 + 1040885*g**2 + 4*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.28 - -0.12. Let h = -4913\/364 + -1\/364. Let x = h - -51\/4. Which is the fourth smallest value? (a) g (b) 0.1 (c) x (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/20*2*85\/374.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 6*p**2 - 6*p - 6. Let t be a(7). Let b = 4 + -6. Let m be 1 + -1 + b\/1. What is the nearest to 0 in m, 0.4, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6*(23\/506)\/(2\/8)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37900.4397 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0\/((-36)\/2)*1\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s = -38*s - 13*s + 819 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/4 (b) 0.4 (c) 5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q = 13*q + 12*q - 256 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/253)\/((-29680)\/2389240)?\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -107*o**7\/42 + 35*o**3\/6 + 9*o + 1. What is the second derivative of t(n) wrt n?\nAnswer: -2140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) -3.2 (c) -4 (d) -12 (e) -1\/2 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 1. Let l be q(1). Suppose l = -x - 0*x + 3. Solve 0 = -4*z - 16, -x*k - 6 + 2 = 4*z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 36*a - 64. Let m be c(-34). Put 3, 5, m, -2 in ascending order.\nAnswer: -2, 3, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22775 is divided by 2843?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**6\/m)\/(m*m*(m*m**(5\/3))\/m*m))\/(m**(-2\/5))**(-49) assuming m is positive.\nAnswer: m**(-274\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 80996616 a multiple of 4248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 1893434175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f - 4\/15*f**5 + 15\/2*f**2 + 1\/6*f**4 + 0*f**3 + 0. Let z(b) be the first derivative of x(b). Solve z(w) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**4 - 551612*s**3 - 4413132*s**2 - 2758420*s + 27582200 = 0.\nAnswer: -5, 2, 137911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -2*b - 34, 99 = 5262*b - 5265*b + 3*f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-10 - -1) - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, 1\/151016, 8.\nAnswer: 0, 1\/151016, 0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**5 + 28*j**4 - 60*j**3 + 36*j**2.\nAnswer: -4*j**2*(j - 3)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 + 3132940*v**3 - v**2 - 3132965*v**3 - 2*v**2.\nAnswer: -25*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3 = 4*y, -y + 0*j + j - 3 = 0. What is the highest common divisor of 26 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/351 and 8\/39555.\nAnswer: 514215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 130022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4\/7 + 22*p**3\/7 - 54*p**2\/7 + 50*p\/7 - 16\/7 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 7 + 2)*(135 - 135 + 2*u - 1 + 1 + 2*u + (-3 + 1 + 0)*(-2*u + 0*u + 0*u) - 3 - u + 3).\nAnswer: 21*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 13. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-2)\/((12\/30)\/(5\/25)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80100 is divided by 80095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 98811805 + 0.01.\nAnswer: 98811805.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s**20*s)))\/s**9)\/(s\/(s*s**(-2\/15)*s)*(s\/(s*s*s**(-2\/31)\/s)*s)\/s*s))**6 assuming s is positive.\nAnswer: s**(10976\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12977 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 16) to base 8\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1306890*b**2 + 3149 wrt b.\nAnswer: -2613780*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*w + 8. Let n(l) = l**3 + 2*l**2 - 4*l + 3. Let p be n(w). Let q be 7 + (-2)\/2*p. Solve 3*m + 3*d - 5 - 7 = 0, 25 = q*d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 11051158, 2\/9, -5?\nAnswer: 11051158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*v**3 - 44522*v**2 + 44522*v**2)*(0*v - v + 3*v + (-5*v + 5*v - 3*v)*(0 - 2 + 3)) to n + g*v**2 + p*v + u*v**3 + o*v**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wiiiiww.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 112*x**3 + 2*x**2 + 3*x - 4. List the prime factors of t(1).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -43*a - 2417. What is the remainder when 3429 is divided by y(-57)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 6*w + 65 = 0, -160 = -737*h + 739*h - 3*w for h.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.7 (c) 9 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64869.41269 rounded to the nearest ten?\nAnswer: 64870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -4 - ((11 - 0) + -11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1680373200?\nAnswer: 2, 3, 5, 11, 127301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 572417?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)\/(p**(-1)\/p))\/(p**2\/((p**(2\/5)\/p)\/p)))**(16\/5) assuming p is positive.\nAnswer: p**(-288\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9695 - -11240. What is the greatest common factor of h and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 140 + 8*t - 48 - 45 - 39 + 2*t**2.\nAnswer: 2*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7))**(-23)*y**(-7)*y**(-6)*(y**(-1\/3))**44\/(y**(1\/3))**(-34) assuming y is positive.\nAnswer: y**(-205\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -256 or -7900\/31?\nAnswer: -7900\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 5:17 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -v + 5. Let t(i) = i - 8*i + v*i. Calculate the remainder when t(-7) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*h + 8\/3 - 2\/3*h**2.\nAnswer: -2*(h - 2)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/(-165)*10\/8. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -79, -131, -191, -259, -335, -419?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 787286 is divided by 2187.\nAnswer: 2153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 6*b**2 - 30621*b + 1211388.\nAnswer: 3*(b - 59)**2*(b + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4 = -3*a - 0*v, 2*v + 4 = 2*a. Let d = -11 - -11.1. What is the closest to d in -4, a, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 972 - 279. Suppose -493 - i = -z. List the prime factors of z.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 486120 and 81020?\nAnswer: 486120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -3*q**4\/2 + q**2\/2 + 2. What is the second derivative of t(d) wrt d?\nAnswer: -36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1202052 - 1243?\nAnswer: 1200405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)\/c*c*c)\/c**2*((c\/((c*c**(2\/5)\/c)\/c))\/c)**(6\/23) assuming c is positive.\nAnswer: c**(-672\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29210, -29062, -28920, -28784, -28654, -28530, -28412?\nAnswer: -28300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11676.8 grams in micrograms?\nAnswer: 11676800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by (-436)\/(-7) - (-30)\/(-105)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2*k + 4*k)*(-1 + 22 + 22 - 8).\nAnswer: 105*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76994106*k + 144295784 wrt k.\nAnswer: -76994106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r**2 + 5*r. Let w(n) be the first derivative of n**3\/3 - 41. Determine w(y(c)).\nAnswer: 49*c**4 + 70*c**3 + 25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 14 = 2*a, -3*o = -3*o + 5*o - 3*a + 20 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 28497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5610, -6376, -7064, -7668, -8182, -8600, -8916?\nAnswer: -9124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 51. What is the highest common divisor of 114 and t?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12012341320 (base 5) to base 4.\nAnswer: 310213200313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -181.91469 times -0.4\nAnswer: 72.765876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 6*s - 4*s. Let t = s + -35. Solve 3*b = -3*m + 5*b - 17, t = -2*b + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 476552, 953107, 1429662, 1906217, 2382772?\n\"Answer: 476555*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 + 2. Let i be 8\/(-3)*(-9)\/6. Let g be s(i). Suppose -y + 38 = 4*f, 0*f - g = -4*f - 3*y. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2816 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 59560\/11691?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72144303, 72144305, 72144307, 72144309?\nAnswer: 72144311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/6*(-312)\/(-2). What is the highest common factor of 26 and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7272, -9007, -10746, -12489, -14236, -15987, -17742?\nAnswer: -19501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6241627274 to the power of 1\/2, to the nearest integer?\nAnswer: 79004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17964229 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.14061 + 104.37061. Let y = -104 + x. Round y to 2 dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 + 7 - 14 - -2) + 6.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 14 - 4 = 0. Let j be w\/(-18) + (-11)\/(-2). Solve -j*s = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 19*w. Let r(g) = -g + 1. Let c(f) = -3*f - 4*f - 716 + 721. Let l(z) = -c(z) + 5*r(z). Calculate l(t(q)).\nAnswer: -2*q**2 - 38*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 71380 to the nearest one thousand.\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -115.89 - -116. Sort -5, -4, i in increasing order.\nAnswer: -5, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f*l*u + 3*f*l - 2*f*u - 3*f + 20*l*u - 2*l + 14*u - 38 wrt u?\nAnswer: f*l - 2*f + 20*l + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 5. Let r = -2 + z. Let g be 3 - (0 - -2*r). Let c(k) = 3*k**2 + k - 1. Calculate c(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**2. Let r(n) = -2 + 0*n + 4*n**2 + 0*n**2 + 2*n. Let v(s) = -13*s**2 - 7*s + 7. Let h(u) = 7*r(u) + 2*v(u). Give b(h(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 20*n**2 - 9*n - 822. What is y(23)?\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70983313?\nAnswer: 17, 23, 59, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*f - 6340 = 0, z + 4*f = -0*z + 2068. What is the smallest common multiple of z and 1100?\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 10:39 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17496 + 17496 - 2*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(13\/6)\/w)**(-2\/97)*(w**1)**(4\/15) assuming w is positive.\nAnswer: w**(353\/1455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.1 + 16. Let d = -27.4 + 28. Let q = d - 0.5. Which is the nearest to 2? (a) q (b) 0 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*g - 46*g = -15. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 30, 40, 50?\n\"Answer: 10*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 2, -0.119 in ascending order.\nAnswer: -19, -0.119, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 9:40 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 9:10 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 6*n + 3. Let j be i(-7). Let z be j - (2 - -1)*-1. Let g = 0 + 5. Solve -2*t + 1 = 2*t + 3*p, g*p = -3*t - z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.401999151 + -16.569\nAnswer: -16.167000849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 226. Find the first derivative of 100*f + 75 - m*f + 197*f wrt f.\nAnswer: 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -158*y + 2560. Calculate q(16).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -2*x - 4. Suppose -56*v + 68*v + 12 = 0. Let y be v*((-2)\/1 - x). Solve -1 + y = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2206*s - 41476 - 15873 = -8049 + 34528 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1900) + 5 + -1*sqrt(1900) + sqrt(1900))*-2 - 4*(sqrt(1900) + 4 + sqrt(1900) + -2 - sqrt(1900)))**2.\nAnswer: 10800*sqrt(19) + 343620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 899 + -904. What is the nearest to 0 in -4, -1.5, d?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 2. Let j = 3 - 6. Let f be h(j). Does 10 divide (-18)\/(-2) + 0 + f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2819065.\nAnswer: 5, 563813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -15 + 2*c - 2*c - 18 - 5*c. What is the tens digit of y(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1284*o = 2*b - 1281*o + 37, -4*b + b = 4*o + 49 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 381056687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4032927*c**4*f*q + 2*c**4 + 10*c*f*q - 195614*q wrt c?\nAnswer: 48395124*c**2*f*q + 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 836, 1745, 2654?\n\"Answer: 909*d - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5455 is divided by 1129.\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108.1 + -171. Let z = q - -63. Sort 0.2, -6, -1, z.\nAnswer: -6, -1, z, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 1633 = 737. Let t = 872 + l. Suppose 4*i - 2*r = 168 + 458, t = 3*i + r. List the prime factors of i.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21082?\nAnswer: 2, 83, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, v: 15}. What is prob of sequence uvv?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 621*x + 1. Let v(a) = -2*a**2 + 4*a + 2. Let d be v(2). Is w(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*u + 194, -47*s + 2*u + 382 = -43*s. Calculate the lowest common multiple of 102 and s.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/(c*c**(-2\/15)))))**(2\/17)*c**1*c*c**(-1\/5) assuming c is positive.\nAnswer: c**(463\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - u. Suppose -4*y - 3 = -3*l + y, 0 = l - y - 1. Let h(w) = -3*w**3 - 2*w**2 - 3*w. Determine l*h(t) - 2*o(t).\nAnswer: -3*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 211237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*x - 6*x + 3*x**2)*((5 - 4 + 2)*(-2 + 2 + 2) - 5 - 4 + 4) to j + g*x**2 + i*x and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -33, -83, -155, -249, -365, -503?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 5:39 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3792 - 1849 + 2431 = 81*n. Put n, -0.1, 18 in descending order.\nAnswer: n, 18, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 11:05 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 22. What is the units digit of (j*1 + 1)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**3 + 2*x - 2. Let m(p) = p - 1. Let c = -136 - -145. Suppose 10*v - c*v = w - 3, -4*v - 5*w = -24. Determine v*r(k) - 2*m(k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 548 minutes before 3:04 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 78576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4 + 1. Suppose -4*b = -z - 7, -b - 3*z - i = -8. Let v be 0 + 2 + 2*-1. Solve -r + b + 3 = v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4 = 66. Let z = -33 - o. Suppose z*g - 1\/3 - 3*g**2 = 0. What is g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 166606 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -11.6 (b) 5 (c) -7\/8 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 6*p**5 + 812*p**4 + 28692*p**3 + 106776*p**2 - 94106*p - 42180 = 0.\nAnswer: -74, -57, -5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -178 - -179. Let q(o) = -3*o + 2. Calculate the smallest common multiple of (-12 + f)*(-3 - -1) and q(-2).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.7 + 2.6. Let u = -3.6 + k. Is -0.1 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1863\/(-759)*198\/54?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -4. Let l(m) be the first derivative of -m**3\/3 + 9*m**2\/2 - 3*m + 1. What is the units digit of l(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5208*(41 - 36 - (-52)\/(-10)). Let n = -1022 + h. Let -104\/5*q**3 + 0 + n*q**5 - 16\/5*q**2 + 0*q - 28*q**4 = 0. Calculate q.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.9 - -8.9. Suppose -4*i = i - 10. Let v be 2 - (2\/(-7) + i). Which is bigger: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from apadpbpaddpbbdppxx. What is prob of picking 3 b?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -60 in -5, 0.4, 1\/6, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 303029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-25)\/(-30))\/(25\/(-360)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + p. Let c(r) be the third derivative of -r**6\/30 - r**4\/8 - r**2 - 6*r + 6. Let t be (2\/(-4))\/(1\/(-2)). What is t*c(o) + 3*v(o)?\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13987 by 5115.\nAnswer: 13987\/5115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 816 and 12.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2252832 and 93868?\nAnswer: 2252832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145*i - 113*i - 27*i - 46*i - 26*i to n*i + g and give n.\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -4*d, -28519*d + 50 = 5*c - 28509*d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 != 348\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1264*q - 3966*q**2 - 2968*q**2 - 1264*q.\nAnswer: -6934*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*m*n + 2*m*t**3 - m*t**2 - 6*m*t + 2*n*t - 9*n wrt t?\nAnswer: 6*m*t**2 - 2*m*t - 6*m + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21333 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 434 + -434. Suppose 5*q - 45 = 4*k, -4*k - 18 = -4*q + 22. Which is the biggest value? (a) 4 (b) o (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q. Let b(h) = h. Let i(f) = 2*b(f) - p(f). Let m(l) = 8*l. Let v(g) = -g. Let k(o) = -m(o) - 4*v(o). Determine i(k(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7*y + 2 = -2*h, 4*y + 2*h = 22. Suppose -33 = -2*p - 3*w - 0*w, 0 = -y*p - 2*w + 52. Is 18 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 0 - 4 - 2 + 5 + 5*q. Let c = -4 + 6. What are the prime factors of t(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -400380.4 rounded to the nearest 100?\nAnswer: -400400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*c + 3*b - 1026, 5*b + 843 = -4*c. Is (-4)\/((-4)\/3)*c\/(-9) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1533 and 68547?\nAnswer: 479829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 10}. Give prob of sequence qq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 + 51*d + 13. Let o(s) = 6*s + 3. Let y be o(1). Is h(y) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/(-3)*1776\/160*1\/37?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from jggg?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ba when two letters picked without replacement from ubrayuryuyuurrr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (118\/14)\/(3*(-240)\/(-252)) and 83\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 10000000000100?\nAnswer: 10000000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 740201579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*s + 4, -3*t = -2*s + 2*t - 6. Suppose 0*d - s*d = 4. Let g = d + 8. Solve 24 - g = 2*j + 2*p, 3*j - 5*p = -13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -322 - -326. Suppose -4*r + m + 435 = 0, -2*r - 10*m + s*m + 250 = 0. List the prime factors of r.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-7)*z*z**(-1\/5)*(z**(-1))**(-47) assuming z is positive.\nAnswer: z**(204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 431, 4.\nAnswer: -3, -1, 4, 431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -10*k + 50. Let u = -472 + 477. Let t be x(u). Solve 5*s = 3*h - t*s + 16, -4*s = 4*h - 32 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 k when four letters picked without replacement from {i: 3, f: 3, k: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 9. Suppose -v - 1 = -2*t. Solve -4*a + k - t = 0, -k = -a - 1 + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 95*a - 51*a - 43*a. Let h(o) = -15*o**2. Determine h(w(d)).\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 - 24927*c - 24924.\nAnswer: -3*(c + 1)*(c + 8308)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -612 - -642. What is the smallest common multiple of t and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95 and 4564978?\nAnswer: 22824890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m - 12 = 2*c, -3*m - 3*c = -12. Let p be (-106)\/(-12) + -5 - 1\/(-6). Suppose 68 + 27 = 19*x. Solve -m*r + y - 7 = 0, 5 + p = 3*r - x*y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -20 - 184. Let d be (4 - 30\/12) + b\/2. Are 29 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -11*u - 72 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 + 579*k - 1157\/2.\nAnswer: -(k - 1157)*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -293, -1733, -5873, -14135, -27941, -48713?\nAnswer: -77873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*j - 4*j. Suppose j = -5*g + 2*r + 6807, 0 = 4*g - r - 3*r - 5448. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 4*p + 3*p)*(4*p**4 - p**4 - 8*p**4) + 4*p**5 + p**5 + 1 - 3*p**3 + p**3.\nAnswer: 10*p**5 - 2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156686?\nAnswer: 2, 157, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-56))\/((-93)\/124)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 892 a factor of 11323124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 268 - -407. Let s = -345 + b. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 0 - 39*n**2 + 0*n - 1\/4*n**4 + 41\/6*n**3. What is the units digit of k(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 + i + 2. Let w(j) = 7*j**2 + 3*j + 5. Calculate 9*a(x) - 4*w(x).\nAnswer: -x**2 - 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -10. Let q = 5 - c. Suppose 0 = -2*h + 15 + q. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/42*-4*216\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36561 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, -774 in decreasing order.\nAnswer: 4, -11, -774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) 4\/7 (c) -5\/27 (d) 4 (e) -0.3 (f) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v**1)*v*v*v**(-2\/29)*v*(v*v**14)**(-43))**35 assuming v is positive.\nAnswer: v**(-651700\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-15*s**2 + 11 - 11) - 1 - 11 + 2*s**2 + 65*s + 14.\nAnswer: 17*s**2 + 65*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 3, q: 8, p: 6}. Give prob of sequence pq.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**3 - 10*h**2 - 10*h - 38. Let v(k) = -k**3 + 3*k**2 + 3*k + 13. Calculate -10*v(o) - 3*x(o).\nAnswer: -2*o**3 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*2 + 4 - sqrt(891))**2.\nAnswer: 72*sqrt(11) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**2*v**2 + 22*k**2*v + 4*k - 478216*v**2 - 2*v + 209 wrt v?\nAnswer: 2*k**2 - 956432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 939, -18, 5.\nAnswer: -18, 5, 939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*(3556\/(-9282) - (-48)\/104)\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45446 is divided by 95.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3.2 (b) 0.108 (c) 2 (d) -4\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 4:10 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-2)\/(-7))\/(126\/(-147))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**5\/30 + 9*n**2 + 7. Suppose -2*f = -j, 4*j = f - 2*f. Let d(l) = 0 + l + f. What is d(i(y))?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -954*x - 10641. Calculate h(-11).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603972915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-1\/5))\/g**(-6))\/(((g\/(g**6\/g))\/g)\/(g\/g**6*g*g)))\/((g**(1\/2))**(5\/3)\/(g**4*(g**(-2)*g)\/g*g)) assuming g is positive.\nAnswer: g**(341\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -286*r + 65. Let q(l) = -11*l + 19. Let o(y) = 43*y - 84. Let w(x) = 4*o(x) + 18*q(x). Give -6*p(t) + 65*w(t).\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, d: 2, g: 2, s: 4, h: 2}. Give prob of picking 1 g, 1 d, and 1 h.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, d: 2, w: 1, q: 2, n: 3, a: 4}. What is prob of sequence nnnw?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 45. What is the common denominator of (-18)\/4*p\/60 and 54\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4 - 6)*(2*g**4 + g - g) + (-6 + 6 - 4*g**2)*(-3*g**2 - 2*g + 2*g) to the form o*g + y + x*g**3 + n*g**2 + z*g**4 and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21958 + -21947. Which is bigger: k or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 1201*r + 929*r - 578690 + 2267*r + 1343*r - 1068690.\nAnswer: -5*(r - 574)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.15 - -0.15. Let r = 2 + 3. What is the nearest to g in -0.4, r, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/(-6) - -2)*-6. Let j(b) = -6 + 4 - o*b - 1 + 2. Determine j(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*c**4 + 677*c**2?\nAnswer: -960*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44940 divided by -105?\nAnswer: -428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 5*b + 110. Calculate y(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 + k**2 + 37*k + 39*k - 76*k.\nAnswer: -k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 8 (c) 2 (d) -5 (e) -1\/2 (f) 0.22 (g) 1.1534\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 38?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181007 = 5*c + v - 181047, -5*c = -2*v - 55 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.133 + 8.133. What is the nearest to 5 in 0, 0.1, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + i**3 + 0 - 4 + 3*i**2 + 2*i**2. Let f = 1 - 6. What is the units digit of h(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + i + 753 + 75 = 0, -3*q = -2*i - 616. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 2*v**3 - 2*v**2 + 0 + 0*v - 1\/24*v**4. What is the units digit of g(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 4*j = 0. Let y(v) = 4 - 6*v - v**3 + 8*v**2 + v - 4*v**2. Let o be y(3). Which is smaller: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/(-3*sqrt(363)))**2.\nAnswer: 1\/363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2*i**2 + c**2 + 9*c*i**3 + 3*c*i**2 + 41*c*i + 11*c wrt i?\nAnswer: 4*c**2 + 54*c*i + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9 + ((-129371)\/(-594))\/(-19) and 91\/22.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 3. Let m be b(-3). Suppose 5*l - 3 = m*l. Let j be 0 + -1 + 2 - l. Solve 0 = -j*c - 5*q - 13, 3*q - 2*q + 3 = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -a - 2*f - 2*f, -3*f = -3*a + 3. What are the prime factors of ((-109 + a)*14\/7)\/(-2)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**5\/20 - a**4\/3 - 7*a**3\/6 + 2*a**2 - 5*a. What is y(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 7*h**2 + 7. Suppose 0 = -131*k + 140*k + 9. What is n(k)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b - 44*b + 87*b - 638 = 0 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m + 0*m - 2*m - m to the form b + s*m and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36942699*k**3*n**2 - 29*k**3*n - 2895*k**3 + 2*k*n - 11*k - 2 wrt n?\nAnswer: -73885398*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10711657 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2905995 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(22\/5)\/(m\/m**14*m)*m**12*m**6\/m assuming m is positive.\nAnswer: m**(167\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35708, -35445, -35182?\nAnswer: -34919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 1:33 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c**3 + 5*c**2 - 7*c + 5. Let x(j) = j**3 - 3*j. Let z(p) = k(p) - 4*x(p). Let m(f) = -3*f**3 - 4*f**2 - 4*f - 4. Calculate 5*m(b) + 4*z(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/8*(-4 - (-102)\/30).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 948574427?\nAnswer: 29, 2351, 13913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18150\/(-27750) + (-4)\/(-74)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 0*a + 0*a)*(-2 - 2 - 4) - 7*a - 6 + 6.\nAnswer: -23*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/57798 and -79\/4?\nAnswer: 115596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -0.5 (c) 0 (d) -2 (e) 3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/((-133)\/58) + -8\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.2214812 millennia?\nAnswer: 2.214812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3)*y)\/y*y**(-4))\/(y**(-1)\/y**(2\/7)) assuming y is positive.\nAnswer: y**(-40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (140\/(-16))\/7*-4. Let z(r) = -r - 2. Let t be z(21). Let f = t + 28. Solve 0 = -0*q - q - o*c, -4*q - f*c - 15 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(-12)*4 + 35 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-523)\/15 - (-4)\/(-30). Let o = m + 33. Let x = -6 - -8. What is the closest to x in 0.1, 1\/5, o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*c**3 + 2*c - 3*c + 1 - 4*c + 3*c.\nAnswer: 83*c**3 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 714656 is divided by 119078.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 11*f**2 - 6*f**2 - 8 - f**2.\nAnswer: 4*f**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*(-3*sqrt(65) - sqrt(65))\/sqrt(5))**2.\nAnswer: 16*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (720\/(-70) - -10)*(-14)\/26. Sort -0.4, -3, f, 0.2 in decreasing order.\nAnswer: 0.2, f, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 17 = -10*z - 21 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 13*u**2 + 9. Let x be o(13). Is x\/(22\/8 - 2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -12314\nAnswer: 10\/6157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 43285, 93231, 143177, 193123?\n\"Answer: 49946*z - 6661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -91259.17 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1320, -1325, -1330, -1335, -1340, -1345?\nAnswer: -1350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**3 - 5*p**3 + 3*p**3 + p**3 + p**3 - p**3 + (p**2 - 5*p**2 + 3*p**2)*(-2*p + 3*p - 2*p) + (4 - 4 - 6*p)*(-411 + 411 - 298*p**2).\nAnswer: 1791*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3544 is divided by 883.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j**3 - 2*j**2 + 1. Let w be t(-1). Let a(c) = -3*c - 2*c**3 - w*c**2 + c**3 + 106 - 104 - c**2. Suppose 16 = -3*l + 4. Calculate a(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, 2.3, 0.3, -0.1 in decreasing order.\nAnswer: 117, 2.3, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -102231002320 (base 4) to base 5\nAnswer: -2223344341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -160\/9 (b) 1.61 (c) 103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 31550405, 63100803, 94651201?\n\"Answer: 31550398*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 + -65.31. Let o = r + 0.11. Which is the nearest to -1? (a) o (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2396437216?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0856 + -0.0856. Sort z, 144, -1\/3.\nAnswer: -1\/3, z, 144","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y - 172*y**3 - 170*y**3 - 1363*y**2 - y**4 + 344*y**3 - 2 + 4021*y**2 to b*y**3 + v*y**4 + r + z*y**2 + i*y and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/315 and -2\/3825?\nAnswer: 26775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-476)\/(-57))\/(-4) + 2)\/(160 + (-25947)\/162)?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 3*m - 7 + 28, 0 = -5*j + 3*m - 39. Let z be (8061\/(j + 3))\/9. Let w = 299 + z. Put 2, w, 0.5 in ascending order.\nAnswer: w, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 10) to base 5\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7410067 years in months?\nAnswer: 8.8920804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9461 + 9463. Let n(w) = w + 1. Suppose 5*s + 2*m = 1 + 1, 0 = -5*s - 5*m - 10. Let v be n(s). Solve 8*t - v*t = -20, 2*t = k*c - 18 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + f + 8 - 16*f to the form a*f + v and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 2941.\nAnswer: 2946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)*2)\/((sqrt(48)*-2)\/sqrt(8)) + -4)**2.\nAnswer: 24*sqrt(5) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 95*q - 473. Let i be f(5). Solve 2*c = -5*k + i, -2*k - 5 = -2*c - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -8. Let w(f) = -3*f - 2*f**2 - 3*f - 4 - 3 + 13*f**j. Does 14 divide w(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 - -5.4301077\nAnswer: 4.8301077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/5)\/(r\/r**(-7)))\/((r\/(r*r**(-1\/5)*r))\/r*r\/(r*r**(3\/5)\/r)))\/(r\/r**(1\/4)*r\/(r*r\/r**0*r*r)*(r**1)**(-30)) assuming r is positive.\nAnswer: r**(517\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922279?\nAnswer: 19, 48541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 13494885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7*c - 1. Determine u(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-6))\/(8\/(-18)))\/(3561\/23740).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -233, -1, 2, -2 in descending order.\nAnswer: 5, 2, -1, -2, -3, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 304 and 34105?\nAnswer: 545680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/8 - 1)\/(9\/(-54))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -997726*t + 370. Let m be u(-5). Round m to the nearest 100000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 280\/3*b**3 - 784*b**2 - 1 - 25\/6*b**4 - 52*b. Let q(m) = 0. Calculate m.\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/6 - 65*h**2\/3 - 3341*h\/6 - 6790\/3.\nAnswer: -(h + 5)*(h + 28)*(h + 97)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*f - 1660 - 16259 = 16381 for f.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100218 + -99630.37. Round c to the nearest 10.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**3 + q**2 - 2*q. Let l be b(2). Calculate the remainder when 1 is divided by (-1)\/4 - 30\/l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 + (0 + -10 - (4 + -26)) + -14?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 417d246?\nAnswer: 417d245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 + 3*x**3 - 13502 - 2*x**3 - x**2 + 13513. Give n(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 99*l**2 + 947*l + 1498 = 0.\nAnswer: -749\/99, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(2\/3)*p*p)**(-2\/19)\/(p**(-2\/3)*p)**26)\/(p**4\/((p*p**(2\/5)*p)\/p))**5 assuming p is positive.\nAnswer: p**(-1249\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2482.605t to micrograms.\nAnswer: 2482605000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-24))\/(3\/(-312)) - 45\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**5\/9 - 3824*j**4\/9 - 234724*j**3\/9 - 3774872*j**2\/9 - 6860878*j\/9 - 3316904\/9 = 0.\nAnswer: -29, -1, 1972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*f = 15. Suppose -4*x + 5*x = -1. Let n = x - f. What is the remainder when n is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 193 + 1?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*w + 29 = 2, 4*w = -5*b - 114. Does 18 divide -5 + b\/4*-66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 0, -1, -1\/2, -3\/2, -447 in descending order.\nAnswer: 21, 0, -1\/2, -1, -3\/2, -447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -269167055 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -c318 (base 15) in base 13?\nAnswer: -159a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -5743142.\nAnswer: 34458852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**2\/2 - 2*h + 7. Let m be l(-6). Solve -m*b + 0 = 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v**3 - 13*v + 13. Let d(b) = 8*b**3 + b**2 - 14*b + 14. Let n(h) = -6*d(h) + 7*t(h). Let q = -9 + 16. What is the units digit of n(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -310*o*t**4 + 2*o*t + 1297*o + 16*t**4 + t - 2 wrt t.\nAnswer: -3720*o*t**2 + 192*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -503 - 134224?\nAnswer: -135131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 4*m + 13 = 0, 2*m = f + 4 - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1890562 to the nearest one thousand.\nAnswer: -1891000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -359, -717, -1071, -1421, -1767, -2109, -2447?\nAnswer: -2781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2026 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -123075 plus 0?\nAnswer: -123075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 25*q**2 + 79*q - 284. Let x be h(22). Factor -16 - 28\/3*o**x - 4\/3*o**3 - 64\/3*o.\nAnswer: -4*(o + 2)**2*(o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251050309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**2 + 0*v**3 + 2*v + 6*v**3 - 3*v**3 + 2*v**2 to the form o*v**3 + c*v**2 + h*v + z and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -860 - 160 = -50*h - 52*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2040, -7193, -12362, -17553, -22772, -28025?\nAnswer: -33318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34512 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39613 - 27.\nAnswer: -39640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-279)\/(-27) + -11)*(-3 + 2). Let y(n) be the first derivative of -c*n**3 - 1\/2*n**2 - 4 + 0*n. Find the second derivative of y(h) wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2996 is divided by 231?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10582)\/148 + 70 + 22\/12.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 291*f - 1653 + 5565 + 3072 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -60\/89 <= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 302 + 307. What are the prime factors of c?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2841 - 2840.9999993721. Round r to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62 - -102. Calculate the remainder when 276 is divided by j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*r, -4*r + 9*y = 4*y - 36. Let p(o) = -1 - 6*o**3 - 2*o + r*o - 4*o. What is the units digit of p(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 168691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104557777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*r**2 - 3*r + 3 - 4 + 0*r to the form g*r**2 + o*r + c and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -53233 and -5.\nAnswer: -53238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -300.21 + 303.2. Does -1\/9 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*s**2 - 3*s - 2 - 2*s + 2*s - 3*s**3 - 62*s**2 to the form z*s + o + k*s**3 + c*s**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 87 * -0.1\nAnswer: -8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3*r*(r*(r**(-11)\/r)\/r)\/r)**(1\/8)*(r**0*r**8)\/((r*r*r**1)\/r*r*r*r**(-8)) assuming r is positive.\nAnswer: r**(87\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 968757337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7867 = 488*p - 19274 - 25263 + 3486 for p.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133296081 is divided by 57381.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.34, -2.2, -2\/97, 4?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -253883, -3, -5 in descending order.\nAnswer: -3, -5, -253883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 3:43 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6*9\/2. What is the third derivative of -6*o**2 + 22 - 29*o**2 - 24 + 2*o**3 + 17*o**5 - 4*o**x wrt o?\nAnswer: 1020*o**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 47.53544 tonnes?\nAnswer: 47535440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 2*k**2 - 6 + 8 + 6*k + 6*k**2 - 1 to z*k**2 + o*k + x and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -252 + 254. Which is the closest to -2? (a) 4 (b) o (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7527 and 663.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 9:50 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z + 13*z + 9*z - 3*z.\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 3*c = -11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + (-4 - (0 - 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 7*i**2 - 33)*(2*i**2 - 2*i**2 + i**3) + 21842*i**4 + 309*i**5 - 21842*i**4.\nAnswer: 302*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t**4\/3 + 74*t**3\/3 - 2014*t**2 - 7850*t\/3 - 1748\/3 = 0.\nAnswer: -23, -1, -2\/7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-8))\/q)\/q**(2\/13)*(q**5*q)\/(q*q*(q*q**(2\/7))\/q))**(-7\/2) assuming q is positive.\nAnswer: q**(202\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/(b\/((b*b**3)\/b*b*b)*b)))**30)**(2\/155) assuming b is positive.\nAnswer: b**(-24\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 25*n - 3. What is f(10)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258, -1212, -3704, -8472, -16254, -27788, -43812?\nAnswer: -65064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**4 + 1334*f**3 - 257*f**2 - 1262587776*f wrt f.\nAnswer: 36*f**2 + 8004*f - 514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32683611569943 - 0.42?\nAnswer: -32683611569943.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-45))\/((-2)\/(-20)). Let z = 56625 + -56626. Sort k, z, 2.\nAnswer: z, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 789013004?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-380)\/300 + 4\/6\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8083 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -7590*i**2 + 45518*i - 17. Give j(6).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3403 + -3402. Let d(h) = 7*h - 8. What is d(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 9*y**2 - y + 9. Let w be (-4)\/12*-3 - -8. Let s be g(w). Suppose s = 2*q - 6*q + 820. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -15. Solve -2*o - 3*o = c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -12*y - y**2 + 12*y. Let g(w) = -11*w + 8. Let t(z) = 7*z - 5. Let o(s) = -5*g(s) - 8*t(s). Calculate k(o(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -26*k - 14. Let t(p) = -p - 18. Let c be t(-11). Does 35 divide h(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 3*g**2 - 7*g - 14. Differentiate t(n) wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1107891099.\nAnswer: 3, 7, 17585573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 22124?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (7 - (-2 - -9))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*r = -54*r + 99. Suppose 4*y - 3*y = 1. Calculate the least common multiple of r and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -2, -6, 5.\nAnswer: -45, -6, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128231290 and 110?\nAnswer: 128231290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 20 = -2*o - o, 2*c - 16 = 3*o. Let j be (-8 - o)\/((-3)\/1). Factor 0*g**4 - 2\/9*g + 0 + 4\/9*g**3 - 2\/9*g**5 + j*g**2.\nAnswer: -2*g*(g - 1)**2*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 (base 7) in base 15?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w**5 - 18124*w**4*y**2 + 54960*w**2*y**2 wrt w?\nAnswer: -120*w**2 - 434976*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x - 42. Let g be v(7). Suppose g = -4*r - 8 + 72. Solve -2*h = 3*q - 0*q - r, 24 = 4*h + 2*q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 13*y**2 - 111*y - 49. Determine z(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*n**3\/9 + 16*n**2 + 58*n\/3 + 56\/9.\nAnswer: 2*(n + 1)*(n + 4)*(13*n + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 divided by 3339215?\nAnswer: 117\/3339215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = d - 42, -12*j + d + 6 = -11*j. What is the least common multiple of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 8:52 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 1)*(s - 3*s + 0*s) + 56*s + 56*s + 7*s)*(0 - 2 + 3).\nAnswer: 117*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + (((sqrt(51)\/sqrt(108))**2 - sqrt(17)) + sqrt(17))*-2 + (-5 + sqrt(17) + 1 + sqrt(17) + -3)**2 + 0.\nAnswer: -28*sqrt(17) + 2125\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 - 274 + 160 + 2*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2842.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2\/5, 118\/23, 11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4594\/3 - 1531. What is the second smallest value in 0.02, a, -1.5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*y + n = 72*y + 109088, 2*y - 3*n - 72707 = 0. What are the prime factors of y?\nAnswer: 13, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -181 - -319. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 584*g**2*u**5 - 356*g**2 - 3*u**5 - 2*u wrt u.\nAnswer: 11680*g**2*u**3 - 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/2)\/((-1012)\/184)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13726 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-8) + (1 - (0 + -3)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -411a (base 13) to base 11\nAnswer: -6824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -397472 in increasing order.\nAnswer: -397472, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2*l - 3 + 0*l - 4*l + 2*l + (-4 + 5 + 1)*(-2*l - l + l) + l + 3*l - l)*((-3*l**2 - 3*l**2 + 4*l**2)*(-4*l + 3*l + 2*l) + 7*l**3 + l**3 + l**3).\nAnswer: -35*l**4 - 14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 - 9 = -8*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7*d\/(d**(-2\/3)*d))\/(d**(-2\/9)*d**(-1\/2)) assuming d is positive.\nAnswer: d**(151\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 35190, 1, 13 in descending order.\nAnswer: 35190, 13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2075317 is divided by 538?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -9*d + m - 39, 0 = 2*d + 2*m + 22. Let u be (-10)\/3 - d\/30. Let p = -2 - -5. Which is the closest to -0.8? (a) 0.1 (b) p (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 5*f + 5. Let r(g) = 12*g + 16. Let q be r(-1). Let v be (-165)\/30 - (-2)\/q. What is p(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkmmmkmmmmmmm. What is prob of sequence kk?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 306, -1 in decreasing order.\nAnswer: 306, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o - 35666 = -t, 16*t - 570741 = -5*o. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 0*l**2 + 4 + 1 + 4 - l**2 - 16*l. Does 13 divide r(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -21.1\nAnswer: -84.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 107467 - 149882638.\nAnswer: -149775171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119\/30 - -19\/5. Let m = -0.59 + 0.09. Which is the nearest to -2\/7? (a) -1\/5 (b) m (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -77*o**2 + 7*o + 78. Let m(r) = -64*r**2 + 6*r + 78. Let p(t) = -5*h(t) + 6*m(t). Determine p(0).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 w when three letters picked without replacement from {j: 1, m: 2, w: 4, d: 4, r: 4, s: 5}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 <= 2985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 2*k**2 + 4*k + 5. Let z(c) = c**2 - c - 1. Let p = 1884 + -1880. Calculate p*z(l) + o(l).\nAnswer: -l**3 + 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a year in months?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/(-15) + (-9 - -8) and -77\/46.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78926.\nAnswer: 2, 19, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -59, -1265, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(32)*4) + (sqrt(33) - sqrt(99)\/sqrt(3))\/sqrt(3) + -3.\nAnswer: -3 + sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3773 or -3770?\nAnswer: -3770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 6248 = 2330. Let d = 1161 - l. What are the prime factors of d?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2004 by 4985.\nAnswer: -2004\/4985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/64)\/((-2)\/4) - (-551)\/(-696). Let b = 0.2 - -1.8. What is the nearest to q in 3, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**5\/30 - f**4\/8 + f**3\/6 + 3*f**2. Let z be x(2). Let p be 6 - ((-1 - 0) + z). Solve 0 = 3*h - h - p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a**2 + 12*a - 955. Is p(32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 7*k**3 - 2*k**3 + 3*k)*(4 + 1 - 2) to n*k**2 + t + o*k**3 + i*k and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxxbcbrf. What is prob of picking 1 f, 1 b, and 1 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 66436?\nAnswer: -1\/16609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -452*y**5 - 26*y wrt y.\nAnswer: -9040*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, c: 1, r: 1}. What is prob of sequence uu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**6\/120 + k**5\/20 - k**4\/24 - 19*k**2\/2 - 98. Let y(x) be the second derivative of w(x). Determine y(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2794, -0.08 in increasing order.\nAnswer: -2794, -0.08, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g. Suppose 0 = 4*l - m - 31, -2*l - 25 = -7*l + 4*m. Let b(a) = -3*a + l*a + 9*a - 3*a. What is u(b(h))?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10489088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 8*w + 64. Let u be (-20)\/w*(-14)\/5. Is u greater than or equal to -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82 - 19*y**2 + 82 + 19*y**5 wrt y.\nAnswer: 1140*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-33)\/(-7) - (-14)\/49. Let c be (16*-5)\/((-1)\/1). Suppose c = j*f - f. Calculate the lowest common multiple of 18 and f.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 11*x**3 - 45 + 65 + 2*x.\nAnswer: 11*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -1. Suppose m + 9 = 4, d*r - m - 13 = 0. Solve r*k + 2*k + 16 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/((-42)\/30) - 5. Let c(t) be the first derivative of x*t + 2 + 2*t**3 + 0*t**2 - 3\/4*t**4. What is the third derivative of c(o) wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -4 - -6) + (1 - 9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1063 is divided by 20\/3*378\/168?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**5 + 243*f**3*x - 110*f*x + 3*f wrt f?\nAnswer: 20*f**3 + 1458*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 11*i**2 + 12*i - 10. Let j(v) = -2*v - 2. Let g be j(-6). Let u = -2 + 4. What is the smallest common multiple of s(g) and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b**3 + 32*b**2 + 29*b - 8. Let t(d) = d**3 - 8*d**2 - 7*d + 2. Let i(j) = 2*p(j) + 9*t(j). What are the prime factors of i(-8)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 195\/913904?\nAnswer: 195\/913904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**6 - c**4 - 3111037*c**3 - 349899*c**2 - 5*c + 14 wrt c.\nAnswer: -240*c**3 - 24*c - 18666222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + c - 30. Suppose -5*u + c = -10. Solve 0 = 5*z - u*b + 1, -2*z - z + 25 = 4*b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*b + 21 = 3*t, 2*t + 2*b = 10. Suppose -33 = -t*x + 3*a, -3*x + 6*a = 9*a - 39. Calculate the lowest common multiple of x and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 1 - ((0 - 16) + -308 + 319)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (29 - 3) + -7 + 1\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veevvvevve. What is prob of sequence vv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*x + 428 = -451 - 815 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 - 2*c - 1. Let b be o(-1). Solve 0 = -4*j + b*j + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 39.89892g?\nAnswer: 0.00003989892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -904178 + -11?\nAnswer: -904189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 5 - 29\/2*m**2 - 3\/2*m**3 - 5\/6*m**4 + 11*m. Find the first derivative of c(h) wrt h.\nAnswer: -20*h - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -8 + 2*y**2 + 0*y + 0*y**3 - 3\/2*y**4. Find the second derivative of i(b) wrt b.\nAnswer: -36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 72\/35 and -2\/45?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + w + 2*w)*(3 - 3 - w) + 197*w + 25*w**2 - 197*w + 499 - 499 + 38*w**2 to n*w**2 + j + m*w and give n.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.25 - -0.25. What is the nearest to u in -0.1, -7, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 813 is divided by 78.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41872, 41874, 41876, 41878, 41880, 41882?\nAnswer: 41884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1774595 to the nearest integer?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 32 = -14. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -8*a - 1. Let k be z(-1). Suppose p + 11 = -k. What is the units digit of (-20)\/(-3)*p\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2345.5 + -2345.1. What is the closest to -5689 in -2, h, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.112888l?\nAnswer: 112.888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u + 25. Let s be l(-5). Let x be 2\/6 - s - (-280)\/24. Let a be (-6120)\/(-595)*(-28)\/(-3). Calculate the greatest common divisor of x and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-289)\/(54332\/(-8601)))\/(27\/(-24)*(-4)\/(-6)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3)\/d)\/(d*d**3*d))\/(d**1)**(6\/7) assuming d is positive.\nAnswer: d**(-69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 167896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-910)\/(-28) - -17)*(-24)\/(-54)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 1)\/(1 + -3). Suppose -8 = a + 8*f - 5*f, y = -5*a + 5*f + 20. Let p be 3\/15*25*(-14)\/(-10). What is the greatest common divisor of p and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (30\/4)\/((-6)\/(-56))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 21*d + 39. Let z be m(23). Let p be (-6 - z)*(4 - 3 - 1). Suppose g + 4*g + 15 = p. What is the closest to 3 in 0.4, g, -0.06?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 + 2 - 10*v**2 + 1071*v - 1069*v - 23*v**3 + v**4 + 23*v**3 in the form p*v**2 + l*v + n*v**4 + s*v**3 + y and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -0.11, 3 in ascending order.\nAnswer: -0.11, 1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-14))\/(-3*(-38)\/(-133)). Let b be 5\/(-3)*1\/(-5). Sort 1, w, b.\nAnswer: b, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01967 + 3\nAnswer: 2.98033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 9:28 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74681 + 73887.54. Let k = g + 782. What is k rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 114.\nAnswer: -5\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*z - 3*d, 5*z - 5*d + 23 = 3*z. Solve 3*r = 2 + z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47765 divided by 8?\nAnswer: 47765\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tawwgttggtatt. What is prob of picking 2 a?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -240, -370, -498, -624?\nAnswer: -748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - 25. Suppose 4*u - 9 = -2*l + 11, d*u - 5*l - 40 = 0. Let j = -12 + 19. What is the smallest common multiple of j and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, a: 1, z: 1, k: 1, q: 2, l: 1}. Give prob of picking 1 a, 1 q, and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f - 12. Let u be l(-9). Suppose -2*z + 832 = -5*m, -u*z - 856 = 5*m - 2*z. What is the common denominator of 37 and 4\/(-6) - (-440)\/m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6587\/55 + 1209\/10. What is the common denominator of 7\/88 and b?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0*m = 0. Suppose m = f + 3*f - 28. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58148306 and 144337?\nAnswer: 3901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 5.3. Let u = -142 - -140. What is the nearest to 0 in m, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24054424 - 20?\nAnswer: -24054444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + o + 2. Calculate the remainder when 16 is divided by ((-12)\/(-16))\/(o\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.6, 18, -5, -1972 in increasing order.\nAnswer: -1972, -5, 1.6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7710*h + 1109831 = 19413*h + 173591 for h.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 25 = -3*t, -8*a = -37*t + 32*t - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 1344?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -17*w - 3. Let x(f) = -8*f - 1. Let i(p) = 6*t(p) - 13*x(p). Let k be 24\/(-3)*((-1)\/2)\/(-1). Let c(l) = 3*l - 9. Give k*c(v) + 7*i(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/((g*(g**(-2\/9)*g)\/g)\/g)*g*g))**(-5\/3)\/(g**(-1\/4))**(20\/9) assuming g is positive.\nAnswer: g**(115\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6327817688?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17691263047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 1040 = 14*b. Calculate the remainder when 235 is divided by b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 4*k + 4*h + 0*h + 12 = 3*h, -8*h - 7*h - 402 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 418.7 rounded to the nearest 10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*a + 20*a + 2 + 36*a - 5*a**3 to the form w*a + h + b*a**3 + c*a**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9\/14 of a week?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiii. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003166903 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6*y**3 + 172*y**2 + 60*y - 57. Give h(29).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -104. Let c = n - -155. Suppose 0*x = 3*x - c. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182 + 0.2?\nAnswer: -181.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2140 - -1261. Let v = 874.87 + f. What is v rounded to one decimal place?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - -366. Suppose 27*w - o = 103. Calculate the greatest common divisor of 38 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 274 - 2. Suppose -5*r = 458 + h. Let g = r - -237. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63449?\nAnswer: 67, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*4 + 2 + sqrt(567)*1.\nAnswer: 2 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544908 is divided by 2994?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 4*a + 0*a = -5, 4*s + a = 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8285489*f**6*z**2 + 1464*f**2*z**2 - 76*f*z**2 - 4*f*z wrt f?\nAnswer: -994258680*f**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3919)\/16)\/(5\/10). Let q = -486 - f. Find the common denominator of 97\/14 and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -11, -2636, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 5. Let i be 8\/(-36) - x\/(-18). Solve -l - l + 2*b + 12 = i, -5*b = -l + 26 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90\/(-18)*((-20)\/(-2))\/(30\/(-15))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8947\/(-7002)*(-18)\/1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x + 4 + 51 - 5 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = 15*z - 1. Suppose 14 = 3*l - 5*h, 0 = -l + 4*h + z + 6. Let y be 6\/(-2)*(-1)\/(6\/4). Solve -y*f = l*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15680.30735 to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1372370 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -4, 24 in ascending order.\nAnswer: -21, -4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7049 - -7025. Suppose -4*n + 5*n - 118 = 0. Let i = n - k. What are the prime factors of i?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/3 - 60\/(-18). Suppose 0*j + c + 85595 = 4*j, 0 = k*c - 20. Round j to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 9*f + f. Let w be 40\/(-10) + (-2)\/2. Let v = f + w. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 3*f - 2496*f**3 + 2403*f**3.\nAnswer: -93*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 2*g**3 + g**3)*(6*g + 63*g + 28*g).\nAnswer: 97*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 148*o + 1. Is 13 a factor of t(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-6\/11)*t*t)\/t*t*t*t\/(t**(4\/5)\/t)*((t*t**(-2\/3)*t*t)\/t)**(1\/34))**(2\/47) assuming t is positive.\nAnswer: t**(26332\/131835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57544 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.612152 to three decimal places.\nAnswer: 5.612","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in -5, 0.2, -4, -11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 81 = g, -r + 8*g - 7*g = 42. Let w = 124\/3 + r. Let b = 0.3 - -0.2. What is the nearest to w in -3, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 11944352.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2. Let o = 0 + p. Suppose 45*i = 200*i - 38*i + 197*i - 1570. Put 2, o, i, 3 in descending order.\nAnswer: i, 3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llrylrrlryllrrrrrril. Give prob of sequence riry.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.5792041 tonnes?\nAnswer: 579204100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n - 1 - 7*n + 0*n)*(-3 + 2 + 3).\nAnswer: 6*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.257 - -3.743. What is the closest to -2\/9 in 4, a, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -406 + 50?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 3*l**2 - 7*l. Let n(s) = -67*s**3 + 24*s**2 + 56*s - 641. Let j(g) = -24*c(g) - 3*n(g). What is the first derivative of j(u) wrt u?\nAnswer: 675*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -76, -73, -70?\n\"Answer: 3*a - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + ((-248)\/(-2))\/(10\/790) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.268 > -645983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 923\/98 - -4\/49. What is the common denominator of i and 73\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18569659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*f = -73, -4*a - a = 3*f - 125. Suppose 0*q = -2*q + a. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2923231, -5846291, -8769351, -11692411?\nAnswer: -14615471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*c - 15*c = 22. Find the first derivative of 40*j**2 + 91*j**2 + 16*j**2 + 10*j**2 + c wrt j.\nAnswer: 314*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -142*c - 8*c**2 + 142*c. Let t(y) = y**2. Give t(j(w)).\nAnswer: 64*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16115944*w**3 + 43770130.\nAnswer: 48347832*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 c, 1 f, and 1 u when four letters picked without replacement from cbuucubfgu?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 55*q**2 - q + 1. What is the tens digit of c(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 - (-36 - (-14 + -18))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13989, 13395, 12801, 12207, 11613, 11019?\n\"Answer: -594*o + 14583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 6)*(-c**3 + 6*c**3 - 3*c**3) - 6*c - c**3 + 6*c to the form n*c**3 + x*c + z + a*c**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 10:21 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 smaller than 7\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 502843609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 389783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7111027284?\nAnswer: 2, 3, 592585607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 491\/2761 + 1\/251. Which is the second smallest value? (a) 0 (b) -1.4 (c) r (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from gzzxxziibd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 219421450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4707 is divided by 4692?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85 and 48807?\nAnswer: 244035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o + 12. Let a be q(6). Let i = -5 + a. Suppose i = s + 2*r, -3*r - r - 109 = -5*s. Is s a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v + 24*v - 8*v = 129129. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*u**4 - 10*b*u**2 - 231*b*u - 5*u**3 - 395*u**2 + 229*u wrt u?\nAnswer: 24*b*u**2 - 20*b - 30*u - 790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 7:54 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -3.96. Let m = 0.44 - u. Which is the nearest to -0.1? (a) -0.2 (b) 0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 24 = 5*h, -11*g = -16*g - 5*h + 20. What is the biggest value in 0.3, g, 1, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*z**4 - 4*z**4 + 2*z**4 + 2*z - 26*z**4 + 62 - 62 + (-z + z**2 + z)*(0 + 0 + 2*z**2) - 9*z**4 - 7*z**2 + 7*z**2.\nAnswer: -26*z**4 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 - 5*j**5 + 3*j**5 + (-2*j + 2*j**2 + 2*j)*(-j**3 + 6*j**3 - 2*j**3) + (j**5 + j**5 - j**5)*(-3 + 4 - 3) - 3*j**5 - 4*j**4 + 4*j**4.\nAnswer: -j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 314391889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -323 + 324.39. Let r = j - 1.39000118. Round r to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.59 + -0.89. Let w = -22.2 - -22. Sort 0.06, -0.4, w, p.\nAnswer: -0.4, p, w, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -742 (base 9) to base 2.\nAnswer: -1001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 87 - 207?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -1427650*u**3 + 1427649*u**3 - 2*u + 45*u - 8 in the form f*u**2 + n*u + o + w*u**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-2 + 5 - (-1 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2730 + 1906 = -57*l - 60*l for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 16 - 3)*(2*f**2 - 2*f**2 - 4*f**3 - f**3 + f - f + (-3*f + 0*f + f)*(f**2 + 0*f**2 + 0*f**2)).\nAnswer: -126*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 4:53 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 713332?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.07406692 to two dps.\nAnswer: 2.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 113 = -m, -3*m - 447 = m - 3*b. Let z be (m\/(-10))\/((-6)\/(-45)). Is 12 a factor of ((-16)\/6)\/((-6)\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17153237 is divided by 165.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.5*26456.\nAnswer: -145508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/16 of a minute?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -68*p + 2. Let d be g(1). List the prime factors of d\/(-10) - (-36)\/(-60).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 4:21 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 1 + 22. Suppose 54 = -i*s + 313. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*36\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 12 = -2*w. Let t be (w\/(-6))\/((-3)\/(-48)). Let q(y) = -y**3 - 8*y**2 - 3. Calculate q(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12711506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*i + 29*i - 5 + 0 + 24*i**3 - 5*i**3 - 42*i to a*i**2 + l + r*i**3 + y*i and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 9*m**2 + 9*m - 2. What is the units digit of c(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 31 = 23*o. Let s(l) = -409*l + 33. What is the hundreds digit of s(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3826?\nAnswer: 2, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -173 (b) 0.3 (c) -2\/13 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(4\/29)\/(((u**8*u)\/u)\/((u\/u**(-14\/9))\/u*u*u*u)) assuming u is positive.\nAnswer: u**(-935\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/11)*r**(-1\/2)*((r**(-6)*r)\/r)**(-33) assuming r is positive.\nAnswer: r**(4349\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6 = -3*d + 3, 5*d - 3 = -2*h. Let f = -14 - -2. Let y be 3 - 1\/((-4)\/f). Are d and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*(26384\/(-5820))\/(1\/5)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*z - 5 = -0*n, -2*n = 5*z - 11. Solve n*r + 3 = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17.2 - -17.8. Let t = -5.86 - -5.5. Let m = -0.46 - t. Sort -0.5, m, b in descending order.\nAnswer: b, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 - 4*p - 3. Let q be u(-1). Let t be (-12)\/18 + 8\/q. Determine m so that -1\/2*m - 1\/3 - 1\/6*m**t = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -71 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + n)*(-9*n - 9*n + 20*n)*(4 + 6*n - 4)*(-n - n + 4*n) as q*n**3 + w*n + v + b*n**4 + k*n**2 and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -63*c**2. Let i(f) be the first derivative of 3*f**2\/2 - 361. What is i(p(l))?\nAnswer: -189*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197504*i - 197535*i + 395056*i.\nAnswer: 17*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 0.04338\nAnswer: -3.04338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d + d**2 + 2*d**4 - 4*d - 94*d**2 + 12*d**2 + d**3 to the form y*d**4 + k*d + m*d**3 + z*d**2 + u and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 303 - 303 + 894*k**3 - 970*k**3 + 2098*k**3 + 2*k**3 + 2*k**3 - 6*k**3 + (3*k + k**2 - 3*k)*(-k - k + k).\nAnswer: 2019*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/9 + (-1)\/3. Which is the second biggest value? (a) -2 (b) 0.2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/116 and 67\/1276?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.5 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b + 5*a = 17*b - 1507, -755 = -2*b + a. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*-1*sqrt(25)*-1)\/((sqrt(320)*-1 - sqrt(320)) + sqrt(55)\/(3*sqrt(11))).\nAnswer: 60*sqrt(5)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 671 = 3*b + 3325, -2*b + n = 2664. Which is smaller: b or -1331?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*h - 6776 = 66*h. List the prime factors of h.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1172025 or -1172014?\nAnswer: -1172025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-12)\/84*7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 44*q - 394. Let n be m(9). Solve -2*u + 6 = -4*x, 2*u + 141*x + n = 143*x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -193\/294 - 1\/98. Let t = -4 - -3.7. Which is the smallest value? (a) t (b) v (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -4\/9, -9, -308, 4?\nAnswer: -308","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26.0254 - 25.78. What is d rounded to two dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 + 20 - 64575*b**3 - 4 + 64555*b**3 as x*b**3 + i + d*b + o*b**2 and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y = -12*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-25)\/(-20))\/((-1)\/(-4)). Let h be (30\/(-4))\/5*-2. Let l = v - h. What is the least common multiple of l and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -10*s + 1. Let w(r) = 30*r - 2. Determine -8*m(j) - 3*w(j).\nAnswer: -10*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2973180.\nAnswer: 2, 3, 5, 7, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -166 + 169. Suppose -4*b - i*a = 0, -a - 1 - 10 = 5*b. Which is bigger: -38 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 8*r - 7*r + 81 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**5\/12 - 13*n**3\/6 + 24*n. Let y(a) be the second derivative of t(a). Let i(u) = -u**2. Calculate y(i(s)).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 2*l - 81 = 0. Suppose 7*k - 30 = -l. Let z(q) = 49*q**3 - 4*q**2 + 3*q + 3. Is z(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 4 = 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i - 5*i - 180 = 0. What is the third derivative of g**2 - 31*g**4 + 7*g**5 + g**2 - i*g + 37*g**4 wrt g?\nAnswer: 420*g**2 + 144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*g**4 + 168*g**3 + 170*g**3 + 37*g - 338*g**3 wrt g.\nAnswer: -300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**3 - 29*c**2 + 52*c + 922. Determine n(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -8. Let k(w) = 2*w**3 - 6*w**3 + 3*w**3 + 9*w**2 - 3*w. What is the remainder when k(8) is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + u**2 + 2*u**2)*(u**2 + 0*u**2 + 0*u**2) + 0*u**4 + u**4 + 4*u**4 + 7694*u - 7694*u - 115*u**4 - 2*u**2 + u**4 + 2*u**3 - 2*u**3.\nAnswer: -110*u**4 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -6 - 3 - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 437 - 437.4. What is the closest to 3\/5 in m, 3, 0.22, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 2 + 6. Let q = 7 - a. Let w(b) = b**3 - b**2 + 2*b + 7. Let v(s) = s**3 - s**2 + 3*s + 8. Let l(n) = q*v(n) - 4*w(n). Determine l(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-28\/5))**(-23\/4))**(-29))**26)**(9\/5) assuming i is positive.\nAnswer: i**(-1092546\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 26 = 21 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 510, 3902, 13066, 30876, 60206, 103930?\nAnswer: 164922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 22. What is the closest to 4\/3 in 1, 0.2, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**8\/2520 + 32*f**7\/1575 - 4*f**6\/45 - 211*f**5\/225 - 481*f**4\/180 - 34*f**3\/9 + 3289*f**2. Let u(x) = 0. Calculate x.\nAnswer: -34, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (300\/250)\/(((-3)\/(-2435))\/3). Suppose 470*c - n = 468*c. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 0*l + 3*l)*(5*l + 5*l - 5*l) + (-2*l + 3*l - 3*l)*(2*l - 9 - 24 - 47).\nAnswer: -9*l**2 + 160*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 - 14*y - 10. Let b be f(-6). Let h be (36\/21)\/((-6)\/(-21)). Let i be 2*(-2 + 27\/h). Sort 9, b, i.\nAnswer: b, i, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 12*v + 3. Let k be f(12). Solve -2*d - k = c + 6, -2*c = 2*d + 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/15 - 6\/(-15). Suppose -228 = 4*u + a, -194 = 3*u - 7*a + c*a. Let o be -3 + 5\/((-90)\/u). What is the closest to -1\/6 in o, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 107*q**5*t**3 + 4*q**3*t**3 - 106*q*t**3 - 3*q*t wrt q.\nAnswer: 2140*q**3*t**3 + 24*q*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83\/(1201176\/(-270))*72\/15.\nAnswer: -6\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5300)\/(-1855)*7\/(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 47 = 13*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21791.69cm to micrometers.\nAnswer: 217916900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.1, -2, -0.06, -1\/2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.20547 + -4.73093. Let w = 4.9 + f. Round w to 3 decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/4446 and 53\/1014?\nAnswer: 57798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-2) + (-9)\/(-3). Sort -4, r, -5 in decreasing order.\nAnswer: r, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(66)\/(-2*sqrt(11))) + (-1 + sqrt(425) - sqrt(425)) + (sqrt(17) - (sqrt(85)*-2)\/sqrt(5)) + 0.\nAnswer: -1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -507 - -536. Let a(c) = 233*c**3 - c. Let m be a(1). What is the highest common factor of m and u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + -83)\/18 + -13.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -82*g + 28*g + 432 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 4:31 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -384*c**2 + 569*c - 551. Calculate t(1).\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 6*k + 54. Suppose 4*q = 7 + 5, 3*u = 2*q - k. Let h = -0.05 - -1.05. Which is the nearest to h? (a) 2 (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aajf when four letters picked without replacement from {j: 1, f: 1, a: 14}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12216 is divided by 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 9*a**2 - 8*a + 9. What is i(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 1841 = 3*o - 627, -4*v + 978 = o. Let h = v - 141. Let j = 37 + h. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (156\/(-64)*4)\/((-11)\/(-264)*6).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 3 + 9)*(2*l - 2 + 2)*(-2 - 2 + 3)*(-3 + 4 - 2).\nAnswer: 36*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*g + 63 + 58, -5*g = 5*p + 145. Let i = g - -121. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 + 3*b**3 + b**3 - 6*b**3 - 4*b**3 + 6*b**3 - 4*b**3 + (-3 + 1 + 1)*(4*b**3 - b**3 - b**3) + 6*b**3 - 4*b**3 + b**3 - 2*b**3 - b + b.\nAnswer: -5*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1610*m**2 - 1610*m**2 + 209*m**4 - 3*m**2 - 4*m**4 + 3*m**2 + (-m**2 + m**2 + m**2)*(5*m**2 - m**2 - 3*m**2) + 0*m + 0*m + m**4.\nAnswer: 207*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.3467351 rounded to 3 dps?\nAnswer: -6.347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**3*w**3 - 4428*k**3*w**2 - 244*k**2*n - 9318691*n*w**3 wrt w.\nAnswer: 12*k**3 - 55912146*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 21*s**2 - 48*s - 423. Let l be w(-21). What is the highest common divisor of 351 and l?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 16) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19302.59 weeks in hours?\nAnswer: 3242835.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 3, 1670568 in ascending order.\nAnswer: -14, 3, 1670568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*o + 52*o + 7140 = 0. Suppose -114 = 9*m - o. Calculate the highest common factor of m and 578.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*2\/(-32) + 98\/(-56)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 2. Let f = z - -34. Suppose 798 = f*d - 2107. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) 5\/2 (c) 0 (d) 4 (e) -738\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (4 - 1) + (-24 - -18) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3680 and 17620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 3:15 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -3*s**6\/20 - s**5\/12 - s**4\/8 - s**3\/2 + 26*s**2 + 3*s. List the prime factors of k(-2).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*r + 754 = -148 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7950*o - 15783*o - 3*o**3 + 7833*o + 11*o**2.\nAnswer: -3*o**3 + 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2512573?\nAnswer: 7, 47, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 4*d - 896 = 0. Calculate the greatest common factor of d and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxsnxisxsaxasxs. What is prob of sequence ssi?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t - 4 = -5*t - 872. Put t, 15, -3 in decreasing order.\nAnswer: 15, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 861052407 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -471 divided by -1?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**4 + 100*x**3 + 630*x**2 + 1620*x + 1485 = 0. Calculate x.\nAnswer: -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (-28 + -12 + 142 - 24)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30\/(-27) + (-4802966)\/(-477)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14775? (a) -2\/3 (b) 3 (c) 2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/18 + (-190)\/(-90). Solve -s - 2 = s, -2*s - n = 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2*x - 3*x + 2, 3*v - 6 = 3*x. Let k = v - 3. Let u = -13 + 13. What is the closest to u in -4, -0.3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5014999983\/(-85) + (3\/(-1))\/15. What is s rounded to the nearest 1000000?\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -361870719 divided by 555869\nAnswer: -651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 79902570 and 101694180?\nAnswer: 1118635980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-24))\/((80\/3)\/8).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 6*k = 51, 0 = 3*l + 4859*k - 4855*k - 39 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69\/35 + 2041\/840. Let i = 8237\/12 - 692. What is the common denominator of i and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66921491?\nAnswer: 7, 13, 197, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1008)\/(-216) + -10)\/(8\/60).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -23*r**3\/3 - 119*r**2\/3 - 112*r\/3 - 16\/3 = 0.\nAnswer: -4, -1, -4\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22dd - -60?\nAnswer: 235d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/647 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 354905422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-1\/7))*k)**(-35)*k*k**(9\/5)*k*k\/k**17)**(-38\/3) assuming k is positive.\nAnswer: k**(3306\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2945 + 2944.5. What is the second smallest value in p, -12, 3\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - 0\/(-5))*-1. Let p(u) = 2*u + 4. Calculate p(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*w - 6 + 3 + 9*w**4 + 16*w - 2*w**3 as v*w**3 + y + j*w**2 + h*w + a*w**4 and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-988)\/(-2338) - 18\/42). Let v = -152 + g. Let q be 1 - (1 + 15\/(-1)). What is the highest common divisor of q and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/5 (b) -0.3 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6995 rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*l - 20, -2*q - 22 = -4*l - 0*q. Let h(r) = -9*r - 1 + l*r + 1. Let t(b) = 2*b**2. Let j(o) = -2*o**2. Let i(m) = -2*j(m) - t(m). Give h(i(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suor when four letters picked without replacement from oortotusbrr.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**7\/63 - 8*g**6\/45 + g**5\/2 + 4*g**4\/9 - 16*g**3\/9 + 18*g. Let o(n) = 0. What is n?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: What is the closest to 0.1 in -1.9, 3, 5, 4?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5189508 and 132?\nAnswer: 57084588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 7:10 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 13346 = u, -3*r - 4*u - 9513 = 506. Let g = -1578 - r. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*p - 305 = 53. Calculate the remainder when 7 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38606025?\nAnswer: 3, 5, 514747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 2*t = 4*g - 18, 2*g = 2*t + 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -175.57017112 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w - 4. Let p be s(5). Calculate the remainder when 74\/26 - 6\/p is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 2)*(-3 + 3 - 2*p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 580 (base 15) to base 6.\nAnswer: 5433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -12*u + 31. Let k be x(9). Let i be (k\/(-4))\/(2 - 9\/4). Does 15 divide i\/(-5) - (12\/15)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -65, -45, -11, 43, 123?\n\"Answer: a**3 + a**2 + 10*a - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -192*(6\/2)\/(-6). Let o = s + -50. What is the remainder when o is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 - y**2 + 4*y - 1. Let o(n) = 6*n - 4*n - n**3 - 3*n. Let r(i) = d(i) + 6*o(i). Let g be r(-1). Put g, 3, 2 in decreasing order.\nAnswer: g, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 13. Suppose l*x = -2*j + 20, 0*x - 5*j + 32 = 2*x. Which is greater: 7 or x?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37514815.\nAnswer: 5, 13, 577151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*k**3 + 7 - k**3 - k**3 + k - 11 to f*k**2 + j + w*k**3 + d*k and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 4*i = -10*o - 195, -5*o - 5*i + 195 = 0. Suppose 4*f + 9 = d, 0 = 40*f - o*f + 1. Put 54, d, -1 in decreasing order.\nAnswer: 54, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from ararrap?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*p**3 + 487*p**3 + 16*p**3 + 84*p**3.\nAnswer: 561*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*h - 10, -5*r - 5*h = -525. Suppose -10*n + r = -15*n. Let j = -15 - n. Solve j*w - 2*w = 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -23*z - 2. Let d be m(-2). Let r = d + -32. Suppose 0 = -k + 34 - r. Solve -k = -5*u - 2*v, -5*v - 5 + 30 = 5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 11*m + 26. Let c be g(2). Suppose -20 = 7*d - c. Calculate the remainder when d is divided by ((-2)\/(-3))\/((-1)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1038698571*t**3 - 338905153 wrt t?\nAnswer: 3116095713*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1562 - 2.\nAnswer: 1560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 5160*i**2 + 15428*i - 20592.\nAnswer: 4*(i - 1)*(i + 4)*(i + 1287)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)*i)\/i**(-6) assuming i is positive.\nAnswer: i**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = l - 6*l - 175, 101 = -3*h - l. Let n be 3\/(1*h)*-2. Which is the closest to -5? (a) n (b) -1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 385 and 35609.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*k - 449*k - 102*k)*(4*k - 2*k + 3*k - 2)*(k**2 - k + k) in the form v*k**2 + w*k**4 + m + f*k**3 + y*k and give f.\nAnswer: 1130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 200 and -0.07.\nAnswer: 199.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -992*h + 6712 = -990*h. What are the prime factors of h?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -17*m**2 - 6104*m - 12502. What is d(-357)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1\/2 (b) 2\/5 (c) 1.77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7*16 - 20\/(-10). Let z be x\/22 - (-24)\/(-132). Suppose 22 = z*w - 13. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/740 + 4423\/12580. Let q = -5\/34 - f. Let w = -0.13 - -0.63. Which is greater: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47\/5 - -10. Let n = -15 - -16. What is the closest to -0.1 in -3\/4, l, n?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8487 = -4*b + 3678 + 9347. What are the prime factors of b?\nAnswer: 2, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9859\/3 + 3286. Which is the biggest value? (a) -141 (b) 0 (c) 1\/6 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**4 - 47878*p**3 + 3*p**2 + 14845 wrt p.\nAnswer: -24*p - 287268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m + 1. Give z(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is bf (base 16) in base 7?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = 124*t - 104*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = d + 3*b, -4*b - 483 = -427 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 1. Let w be z(3). Suppose 0 = w*x - 13 + 5. Find the first derivative of 13*g**x - 1 - 8 - 10*g**2 + 0 wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 6 = 3*o, 2*l = 2*o - 1 + 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1353 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 103, 6 in decreasing order.\nAnswer: 103, 6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**5 - 369*b**4 - 27619*b**3 + 1323549*b**2 + 17424440*b = 0.\nAnswer: -199, -11, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11, 11, 13, 17?\n\"Answer: k**2 - 3*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 54\/55, 3, 4 in ascending order.\nAnswer: -0.2, 54\/55, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -90*x + 39 - 5115*x**3 + 95*x - x**2 - 695*x**3 wrt x.\nAnswer: -34860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 30164*y + 271403. Calculate b(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -6 (c) 4808082\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5011026 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 g, and 1 s when three letters picked without replacement from vssgvvvvs?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2377321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13228167?\nAnswer: 3, 4409389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7549828 by 2167.\nAnswer: -3484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -12*m**4 - 10*m**3 + 3*m**2 + 5*m - 203. Let h(u) = 18*u**4 + 16*u**3 - 5*u**2 - 8*u + 305. Let a(k) = 5*h(k) + 8*l(k). Differentiate a(v) wrt v.\nAnswer: -24*v**3 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*z + 25 = 0, -5*d - z + 13 = -d. Solve -d*f + 32 = p + 3*p, -f = 2*p - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 1066 = 11*t + 13*t. Solve 11*v + 40 + t = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five ninths of a hour in seconds?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 725852892 to the nearest integer?\nAnswer: 26942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, r: 5, a: 1}. What is prob of sequence rz?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -408486263 rounded to the nearest one million?\nAnswer: -408000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -7, -16 in descending order.\nAnswer: 15, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/21*((-3675)\/(-90))\/(-35).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16225 and 495.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1324744 divided by 2\nAnswer: -662372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4004 - 3991. Solve -m - 3 = -11*p + a*p, 5*p = -4*m - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 4\/5 (b) 10 (c) -5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*g = -58*g - 15. Suppose g*o = -19 - 1. Let p(h) = -h**3 - 5*h**2 - 4*h - 6. What is p(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -17. Let d = 1 + 1. Suppose -j - j = -d. What is the lowest common multiple of v and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1126.11 and 13?\nAnswer: 14639.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(-5*g**2 - 11*g**2 + 48*g**2 + 30*g - 33*g**2).\nAnswer: 2*g**2 - 60*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 207cbf - 16?\nAnswer: 207ca9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/21 + (2 - 19). Put -2, 2, h in ascending order.\nAnswer: h, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 14 = -3*l + 7*t, 3*t = -l. Let r be (-1 - l) + -2 - 0. Let w = 10 + r. Solve 0 = -i + w for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 6*z**2 + 4. Suppose 4*i = -5*f - 50, -5*i - 1 = -3*f - f. What is n(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/5)\/((-24)\/12*(-1)\/(-4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 12:03 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, d: 4, t: 6, g: 3, z: 1}. Give prob of picking 1 t, 1 z, and 1 f.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2 + (-4 + 3 - 1)*(-3 + 2 + 0) + 0 - 2 + 0 - 1 + 2 + 0 - 1 + 0 + 4)*(-76*k + 75*k + 60 + 83) as v*k + c and give c.\nAnswer: 715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 1 (c) 0.4 (d) -4 (e) -7\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 8:56 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10, l: 1, p: 1, b: 1}. What is prob of picking 1 b, 1 g, and 1 l?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15960372 and 39.\nAnswer: 207484836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12430 - -12447. Is u bigger than 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 169.7 - 179. Let o = a - -10. What is the nearest to -1\/2 in 0.3, o, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/((-288)\/8))\/((-12)\/(-372)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*u + 369*u + 134*u + 297*u + 154*u.\nAnswer: 811*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 103*h**8\/336 + 11*h**4\/12 + h**3\/3 - h**2 - 37. What is the second derivative of y(l) wrt l?\nAnswer: 2060*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73966.6 decades in years?\nAnswer: 739666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from eiiiieziiiiizi?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**5\/5 + 115*z**4\/3 + 76*z**3 - 76*z - 3. Factor y(o).\nAnswer: 4*o*(o + 1)*(o + 114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.012 in 0.3, 1.84, 4963?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -7*y + 21. Suppose -d - y = 2*d. Let v(p) = -3*p - 3. What is the remainder when 32 is divided by v(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1729 is divided by 1722.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -3*p + v, 3*v + 55 = 5*p - 44. What is the greatest common factor of 234 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*z - z - 12*z)*(z**4 + 2*z**4 - 2*z**4) - 2*z**3 + 3*z**5 - 4*z**5 + 3*z**5.\nAnswer: -22*z**5 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/719 and -41.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 5522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -34*k + 16. Is g(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -3 + 0 + 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -125467611290 - 373?\nAnswer: -125467611663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1371519850 rounded to the nearest one million?\nAnswer: -1372000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 536 = 7*q + 5*y, 3*q + y = 391. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -103 != -914\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1213 - -1041?\nAnswer: 2254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.105807 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-20)*(-577)\/(-4039)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7499?\nAnswer: 7499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3133496.\nAnswer: 2, 43, 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 36*c - 176.\nAnswer: 2*(c - 22)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 357673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35310817 - -21.\nAnswer: 35310838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -3 - (2\/(-7) + (-113)\/21).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -221, 4, -3 in decreasing order.\nAnswer: 4, 2, -3, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2.4 (b) 0 (c) 1.37 (d) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 0*k + 0*k**3 - 5*k**2 - 2\/15*k**5 + 0 - 1\/28*k**8 + 0*k**6 + 0*k**4 + 0*k**7. What is the third derivative of f(j) wrt j?\nAnswer: -720*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -525, 3, 1 in ascending order.\nAnswer: -525, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76526717, -76526716, -76526713, -76526708, -76526701, -76526692?\nAnswer: -76526681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100010 + -100021021?\nAnswer: -100121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, d: 6, t: 2, u: 2}. Give prob of picking 1 l, 1 t, and 1 u.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1104403ml to litres.\nAnswer: 0.0001104403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 488 = -3*v, 4*b - 204 = -v + 200. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/2)\/(8867\/(-62069))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 167800?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(((h**5\/h)\/h)\/h)\/h*h**(3\/10)*h\/(h*h**(1\/3)\/h)*h**(-1\/6)*h)**(-5\/3))**(5\/2) assuming h is positive.\nAnswer: h**(-95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18708?\nAnswer: 2, 3, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g. Let c be j(-1). Suppose -4 = -4*y - 8. Let x(a) = -3*a - 1. Let f be x(y). Sort -4, c, 8, f in ascending order.\nAnswer: c, -4, f, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**4\/4 + 5*i**3\/3 + 3*i**2\/2 - 4*i - 2. Let d = -176 - -173. Let m be b(d). What is the greatest common factor of m and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/2*((-42253)\/(-961) + -44). What is the nearest to 2\/7 in -2, 2\/73, 2\/13, u?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 8*v**2 + 2*v + 2. Let z(c) = -c**3 - c**2 - c - 2. Let x(n) = -k(n) - 2*z(n). Give x(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 12\/23 (b) -2\/9 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -21. Round s to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-4) + (81\/12)\/9. Suppose j = -g + 11*g - 10570. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 73682439 and 0.1.\nAnswer: 7368243.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/12)\/(-4)*4170\/556?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*a**2 - 1)*(-3 - a + 3) - 7*a**3 - 2*a**3 + 3*a**3 - 3*a**3 + 0*a**3 + a**3 - 2 + (16*a + 13*a**2 - 16*a)*(0*a - 5*a + 3*a).\nAnswer: -32*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 14. Let a(d) be the second derivative of -d**5\/10 - d**4\/6 - d**2 + 18*d. List the prime factors of a(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*t - 58*t + 147*t + 134*t.\nAnswer: 320*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 1514*h + 663. Is u(35) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 22 = 3*i - 0*u, -3*i + 5*u + 29 = 0. Let s(c) be the third derivative of -c**4\/24 + 2*c**3 - 11*c**2. Let h be s(12). Solve i + h = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 145988052 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 5\/12*n**4 + n**2 + 0*n**3 + 0 - 67*n. Let o(v) = 3*v**2. Give w(o(r)).\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h - 30136 - 4640 = 0. Suppose -17*w + 313 = s - 18*w, -4*s - w + h = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13163, 13199, 13235?\n\"Answer: 36*h + 13127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 10*d**2 + 6*d + 22. Is f(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28601 to the nearest 100.\nAnswer: 28600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*a**2\/6 - 42245*a\/3 + 71385601\/6.\nAnswer: (5*a - 8449)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*t - 1)*((-t - t + 4*t)*(-3 + 1 + 1) - 125*t - 17*t + 5*t).\nAnswer: -278*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ocxpv. Give prob of sequence copv.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26 - 25 - (1 + 1)*-38. Let j = 238 - x. Suppose -4*a = 5*h + 150, -5*h - a + 11 - j = 0. Round h to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1260)\/(-1848)*(-72)\/(-30)\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/30)\/2)\/((-32)\/1520).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 4*t = -32. Let m = 7 + t. Let j(r) = 8*r - 24. Let z be j(3). Which is smaller: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 911141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7109 - 4370. List the prime factors of z.\nAnswer: 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from {b: 4, v: 1, t: 10, o: 3}?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -40*i. Let b(f) = -810*f**2 - 144*f. Let n(j) = -28*j**2 - 5*j. Let x(h) = 5*b(h) - 144*n(h). Give x(t(z)).\nAnswer: -28800*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 5. Let v be a(-3). Let g(n) = 6*n - 1. Let y(b) = -19*b + 4. Let r(j) = v*y(j) - 7*g(j). Is 8 a factor of r(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6168 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: Solve 0*t + t + 2*c - 9 = 0, -2*c + 6 = 4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4))**(-25\/6)*(c*c**3\/c)**(-3\/13) assuming c is positive.\nAnswer: c**(623\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*c = 243, 0 = -0*i - 5*i - 3*c + 598. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - 11010101010011111?\nAnswer: -11010101010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + q + 16, -4*p + 0*p = 3*q - 17 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 2*f)*(6 - 2 - 3) - 4*f + 4*f - 2*f)*(-1 + 2 - 3).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrel. What is prob of sequence lr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66729?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1654016, 3, 1, 2 in descending order.\nAnswer: 1654016, 3, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/9*2\/10?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r**2 + 14 - 7 - 7.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20768 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*l - 6*n + 11, -2*n + 6 = 4*l. Let b = -3 - l. Let j = -0.9 + -0.1. What is the nearest to j in 5, b, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5*(-20)\/75).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-11 - -22) + (22 - 9).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/3823422 and 109\/11470266.\nAnswer: 11470266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 502752697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 337966268 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 143, 290, 437?\n\"Answer: 147*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -121210 (base 5) to base 8\nAnswer: -10713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 1470 + 174. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/9 + 238*k\/3 + 1436\/9.\nAnswer: -2*(k - 359)*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*s**4 + s**3 + 295*s - 598*s + 300*s to the form i*s**4 + n + m*s**2 + r*s + l*s**3 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 4*u - u**2 + 0 - 4 + u. Let t = 4 - 10. Let n be j(t). Solve 5 - 1 = n*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122333100311 + 11?\nAnswer: 122333100322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 664 + -112. Let s = -82647.569 + 82094.7. Let a = s + p. Round a to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 94, 7, 2, 1 in ascending order.\nAnswer: -8, 1, 2, 7, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16408397 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - (sqrt(102)*2 + sqrt(102))*3)\/(sqrt(864) + sqrt(6)) + 2*(sqrt(153)*-1*6)**2.\nAnswer: -8*sqrt(17)\/13 + 11016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -403 + 395. What is the closest to -0.1 in -3\/4, q, -2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8742 by 30279.\nAnswer: 2914\/10093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y - 3. Let o be q(-2). Suppose 8*v = o*v. Solve v = 5*c + 20 - 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 5*a**2 + 6 + 0*a**2 + 6*a**2 as o*a + v + m*a**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*o - 48. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1450058737.78 take away 3?\nAnswer: -1450058740.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*i - 4169 + 9170 + 4380 = 0. Calculate the highest common divisor of i and 183.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t. Let w(v) = -51*v - 3108. Let s be w(-61). Suppose -s + t = -d. Solve -2*l + 7 = d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 62*a**2 + 0*a - 78*a**2)*(-2*a + 1 - 1).\nAnswer: 32*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2. Let m(d) = 336616056*d**2. Determine m(y(h)).\nAnswer: 336616056*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102963, -102966, -102969, -102972, -102975?\nAnswer: -102978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300 (base 16) to base 8.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1\/m)**(22\/5))**17 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*d + 1782 = 40*d + 4950 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 150 = -3*m + z, 0 = -3*m + 5*z + 90. What is the greatest common divisor of 110 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h + 13408 - 4812 = 0. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 24*f**2 + 28*f + 55. What are the prime factors of v(-9)?\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35174945 is divided by 154276?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 144518824757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(325) - (sqrt(325) - (0 + sqrt(325))))**2 + 2 + 4 + -5 + 0 + (sqrt(13) - 2*sqrt(13))*-3).\nAnswer: -652 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.47 and -2.3?\nAnswer: 3.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23421 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -1. Let k = -0.02 + 0.52. Let l = 5.1 + -5. Which is the third smallest value? (a) l (b) m (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 14 - 97 - 40 - 4*o + 2*o as g + k*o and give g.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a + 40. Let r be v(4). What is the highest common divisor of 70 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 425*h**2 - 1256*h + 4230. What is s(-422)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w = -2*a + 9, 5*w - 2*a = -15. Let y be 3\/(-3)*(w + (-6)\/(-2)). Is y\/(-9) + 1 + 191 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 598 divided by -610.\nAnswer: -299\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 61*d**4 + 4*d + 59*d**4 - 2 + d - 6 in the form g + u*d**4 + l*d + i*d**3 + y*d**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 225 = -24*o. List the prime factors of 5*((-9)\/o + (-702)\/(-15)).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 6 - 4) + 7. Let o(y) = f*y**3 - y**2 - 8*y**3 + 2*y**3 + 14. What is o(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16545 + ((-1)\/10 - (-7)\/((-280)\/276))?\nAnswer: 2, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 + -4 - (-49 + 69) - 61) + 16 + -3?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u + 3*u + 0*u - 2*u + 2*u + u + (-3 + 3 - 2)*(2*u - u - 2*u) + u - 3*u + u + u + 2*u - 2*u - 3*u - u + 3*u + 4 - 2*u - 4 - 4*u + 5*u - 2*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*sqrt(300))\/((sqrt(36) + sqrt(324))\/sqrt(9)).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + 0*s + 3*s)*(-11 - 37 - 45) as x + i*s and give i.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -760, -1520, -2280, -3040?\n\"Answer: -760*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 283 divided by 4\nAnswer: 283\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 51*q - 102. What is c(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 304785688*v - 5805894725602084.\nAnswer: -4*(v + 38098211)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31198, 62394, 93588, 124780, 155970, 187158?\nAnswer: 218344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1\/((-12)\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 3*d**2 + 2*d + 1. Let a be q(-2). Solve -j = a - 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 15 = w + 4*w, -5*x = 2*w - 8. Let c be (w + 2772\/(-1))*-4. Let v = 244065\/22 - c. Find the common denominator of 85\/16 and v.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*d - 17*d**2 - d - 2*d + 5*d**2 to z*d + a*d**2 + u and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.12 + -8.32. Which is the third biggest value? (a) z (b) 1\/7 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**5 - 2306*w**4 - 51*w + 16 wrt w?\nAnswer: 40*w**3 - 27672*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 60*l**2 + 118*l - 115. Give n(58).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - k - 202, -3*r - 6*k + 292 = -2*k. What is the remainder when r is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + 151. Suppose -71 = 6*b - s. Calculate the remainder when 43 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13524 divided by -1.\nAnswer: 13524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1840)\/(-14))\/(1\/7). What is the highest common divisor of m and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 112 - 100. Calculate the lowest common multiple of 24 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbbc when four letters picked without replacement from hcbbkmp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -14\/9, 370123 in decreasing order.\nAnswer: 370123, 0.3, -14\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -222014 + -212111?\nAnswer: -434130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4175*u. Let x(r) = -1784*r**2. What is x(p(i))?\nAnswer: -31096235000*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2733*b - 128935 = 574*b + 11400 for b.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b. Let p(s) = 10*s + 12. What is p(x(t))?\nAnswer: 30*t + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -7*q. Let c(w) = -4914*w. Determine p(c(m)).\nAnswer: 34398*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 86627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 8*b - 8. Suppose 12 = o - b*o. What is the remainder when (-1)\/o*2*34 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11 + -13)*5\/(-2). Suppose -p*i + 0*i = -15. Solve -f + i*s = -7, 0 = -f - 0*f - s - 9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*s = -4, d - 4*s - 4 = -0. Suppose -2*k + 12 = k + l, 6 = d*k - 2*l. Suppose 0 = -4*r - k - 1. Let v(a) = 7*a + 1. Calculate v(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2. Let j(c) be the second derivative of -c**4\/12 - c**3\/6 + 410*c. What is j(h) + r(h)?\nAnswer: -2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 19*n + 3. Let r be z(19). Let u(f) = -2*f**3 + 4*f**2 - 2*f + 1. Calculate u(r).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 1. Let w(b) = -54*b. Let t(a) = -2*k(a) + w(a). Does 20 divide t(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -8*c + 123. Let p be k(15). Let f = 38 - 25. Let r = f - 11. Solve -5*z + 8 = -i, -p*i = i - 3*z - r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**2 + 582*v - 232 = 0.\nAnswer: 2\/5, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3672 and 648.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4808 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/12*42\/(-4). Differentiate 3 + 2 - 1 - z*i**4 with respect to i.\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 68450*y**3\/13 + 66970*y**2\/13 - 1472*y\/13 + 8\/13 = 0. Calculate y.\nAnswer: -1, 2\/185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, b: 7, u: 3, j: 4, n: 3}. Give prob of sequence bj.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 260 + 217 - 473 - 5*g - g**2. Let d(a) = 2*a - 2. Calculate -7*d(r) - 3*n(r).\nAnswer: 3*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-204)\/272 - 132\/(-240).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 4658?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.48937*0.4\nAnswer: -0.595748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95921859?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*g = 64*g + 39. Suppose 16*o + g = 125. What is the remainder when 54 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 5 + (-11 - -5) + 8 + -1?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gugguuggugg. What is prob of sequence uggu?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12244, -24460, -36656, -48826, -60964?\n\"Answer: d**3 + 4*d**2 - 12235*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19428.\nAnswer: 2, 3, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(g - 4*g + g)*(-3 + 3 - 2).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 600755899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128916372.\nAnswer: 2, 3, 13, 17, 48611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1339913 or 1339720?\nAnswer: 1339913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-2) - 106\/212. Let q be 4*(-1*3)\/(-6). Let x(f) = q*f**2 + 5 + 0*f + 4*f - 2. Give x(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - b4?\nAnswer: -aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 374 = -337. Let i = l - -1538. List the prime factors of i.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -70?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 293850 and 18225?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 - -5 - 2\/1. Let z = t - -3. Suppose z = f - 5 - 1. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*l + l - 10 = 0, 3*v - 18 = 3*l. Solve 0 = -v*x - 5 - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1756404475.\nAnswer: 5, 7, 10036597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 604542.2t?\nAnswer: 604542200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81408 - -4884343\/60. Let a(m) = -m**3 - 17*m**2 + 23*m + 15. Let r be a(-19). What is the common denominator of s and 5\/r*123 - -4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 1\/32 (b) 4 (c) -0.1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 30661\/2342?\nAnswer: 30661\/2342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/4*4*(-7)\/21. Calculate the highest common factor of g and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + w + t + 191, -w + 4*t = 55. Suppose 889 = -2*o - 9*o + 955. Let v(a) = -a + 1. Let h(r) = -7*r + 7. Determine o*h(s) + w*v(s).\nAnswer: -3*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/188912646 and 133\/2936466.\nAnswer: 566737938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 11:23 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 740288160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 2\/3, -281, -126, 1, 3\/7?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*k - 967, 2*j = 2*k + j - 947. What are the prime factors of k?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 135 = -5*p - 6*d, 5*d + 5 = 0. Let n(x) = -x**3 - 3*x**2 - 9*x - 81. Let l be n(-5). Let k = l - p. What is the highest common divisor of k and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -127\/9 (b) -5 (c) -1\/8 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 210*l - 206*l + 2*r, -5*l - 44 = -4*r for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6)*p\/(p**3\/p)*p**(-5)\/p**(-1\/4)*(p**2\/(p**0\/p))\/(p**(-2\/5))**43 assuming p is positive.\nAnswer: p**(169\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 154\/22 - 543\/(-3). Let y be 1\/4 - 9060\/(-48). Are y and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2535338 is divided by 2268.\nAnswer: 1982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 2 + 1)*(-2*b + 2*b + b)*(4*b + 2 - 2) to the form w*b**2 + n*b + q and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41126 is divided by 2530?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**8*b))\/(b\/(b**(-16\/5)\/b*b)))\/((b**(-16\/7)*b*b)\/b**(-23)) assuming b is positive.\nAnswer: b**(-1222\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 4, b: 4, v: 3, g: 6}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s + 7*s + 185 = -4*f + 20*s - 9, -7*f + 2*f - 10 = -5*s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/20*((-5402)\/111 - -102)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/3443 + -6946\/51645. Put s, -722, -3\/5 in ascending order.\nAnswer: -722, -3\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/4*p**2 + p.\nAnswer: p*(p + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 - 243 - -371 - (-151 + (1 - 1) - -2)?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1375\/9 - -153. Let d = 1\/36 + k. Let l = -3.3 + 0.3. Sort -1\/2, l, d in ascending order.\nAnswer: l, -1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*g - 0*g + 145, 3*g = t - 55. Let h = -37 + t. Let m = -7 - -25. What is the highest common factor of m and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1601 and -1.94.\nAnswer: 0.310594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 12 = 3*s, 2*w = -0*w - s + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + 2*h + 0*h)*(-2 + 2 - 2)*(4*h - 2*h + 0*h) + 2*h - 2*h + 3*h**2.\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20442 is divided by 9821.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/(-44))\/((-33)\/(-8)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20 - -23)*(-3 - -2). Let f(w) = 1 + 1 + w + 1. What is f(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7)**(1\/21)*b**(3\/10)\/(b*b**(-3\/19)*b) assuming b is positive.\nAnswer: b**(-689\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24, -43, -62, -81?\n\"Answer: -19*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, -4, -1, 1\/2, 4 in decreasing order.\nAnswer: 4, 1\/2, 1\/9, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.28 - 194228212675.\nAnswer: -194228212674.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o - 7*o + 17*o as h*o + z and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*u - 8*u = -18, -d + u = 0. Let k be 3*-2*(-2)\/(-4). Let n be -2*(k\/2 - 0). Solve -n*y = -d + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-3*sqrt(19)*-1)**2 + sqrt(19) - sqrt(152)\/sqrt(288)).\nAnswer: 5*sqrt(19)\/6 + 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, 2, -3 in increasing order.\nAnswer: -9, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t**2. Let q(x) = 47022*x. Determine l(q(n)).\nAnswer: -19899616356*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3555*q + 142647 = 56707 - 38485 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 2 + 1 + 0. Let d(j) = -2*j**2 + 8*j - 6. Determine -d(o) + 6*f(o).\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20987?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.05, -6, -3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t - 2*t**2 - 8 + 7 + 12*t.\nAnswer: -2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 2*y = 34, -488*y = 6*d - 491*y + 30 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.04?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*i + 16. Let w = i - 16. Let l be 5 + -2 + (-5 - 3). What is the nearest to -2\/7 in w, 5, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 41*p**2 + 4*p + 9. Let t be j(-2). Suppose 3*f + t = -8*f. Let z be 4\/6 - (-5 - 55\/f). Solve -5*k = -z*k - 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*16\/(-3)*-3. Let s be (-6)\/(-21) + x\/(-14). What are the prime factors of 74\/6 + (-2)\/s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 168756242 + -3?\nAnswer: 168756238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 921\/7 - 4619\/35. Which is the second smallest value? (a) 4 (b) -2\/13 (c) 0.2 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d. Let b(q) = 2*q - 79. Let k(j) = b(j) + 3*z(j). Let i be k(6). Solve -c + 1 = h, i*c + 2*h + 1 = -0*h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28.5 times -14.7\nAnswer: -418.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + (2 - 6) + 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 301 - 18. Suppose 0 = -2*f + g + p, f - 3*f + 4*g = -268. What is the highest common factor of 18 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2\/6 + 33447*l + 200683\/6 = 0. Calculate l.\nAnswer: -1, 200683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqq. What is prob of sequence qq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000779 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 175942818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 44.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -121, -298, -533, -826, -1177, -1586, -2053?\n\"Answer: -29*o**2 - 90*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**2\/7 - 141049513*u\/7 - 35262378\/7 = 0.\nAnswer: -35262378, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r + 2. Let t be h(-2). Let w(d) be the second derivative of -2*d**3\/3 - 3*d**2\/2 - 6*d. What is the units digit of w(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 286*o. Let j(t) = 5*t + 2. Give y(j(s)).\nAnswer: 1430*s + 572","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 7 - 4102*t + 2223*t - 4199*t - 4)*(0 + 0 - 2*t**2).\nAnswer: 12156*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 3 = 2*j. Suppose 0 = j*z + 10, -q + 0*q - 2*z + 32 = 0. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 9:49 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-163 + 736 + 2987)*(-4 + 1 + 2)*(2*y + y - 5*y).\nAnswer: 7120*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 + 56. Let g(v) = -v**3 - v**2 - 5*v - 9. Let h be g(d). Solve 0 = 5*i - x + 2*x - 16, -36 = -4*i + h*x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90285 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 119665297 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2740 - 6388 = -155*p + 17*p + 7530 for p.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 6:10 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00109371347 to seven dps.\nAnswer: -0.0010937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1044 + -986. Solve v - 38 = 4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 702*u - 4*u**2 - 702*u.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 12*k - 11. Suppose -1 + 11 = -m. Let q be a(m). Solve -p - 2*l = -l - q, -2*p - 3*l = -23 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-399636)\/(-510))\/(6\/130)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5\/5 - 8787*s**4\/5 - 9119802*s**3\/5 - 3810538992*s**2\/5 - 479331507072*s\/5 + 483151174656\/5 = 0.\nAnswer: -904, -218, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + sqrt(245) + -3 + 3 + (-2 + (sqrt(245) + 1 - sqrt(245)) - 1*(-2*sqrt(245) - sqrt(245))))**2.\nAnswer: 3920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 9:59 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3936*-3.\nAnswer: 11808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**3 - 2*s + 3. What is z(2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(6) - -1*sqrt(6))\/sqrt(3) - (sqrt(2) + (1*sqrt(16))\/sqrt(8) - sqrt(2))**2)*3.\nAnswer: -24 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -45, -290, -521, -732, -917, -1070, -1185?\n\"Answer: d**3 + d**2 - 255*d + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 950 - 950 - 14*g + (-g + g - 2*g)*(2 - 3 - 1) - 27*g + g - 33*g.\nAnswer: -69*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 + -42. Solve -d + 5*w = -4, -d + o*d - 8 = 2*w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*m + 48 = 0, -5*w + m = 2 + 40. Let g(a) be the second derivative of a**4\/12 + 5*a**3\/3 + 1629*a. Give g(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -237\/4 + 59. Let g be 2\/(-11) + 60\/(-154). Let s = -1 + 4. Which is the closest to v? (a) s (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*r**6 - 68*r**5 - 2*r**4 + 10849*r**2.\nAnswer: -3000*r**3 - 4080*r**2 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 17*l = -6139. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.81 less than 2086834?\nAnswer: 2086806.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 53*h - 13 + 2 + 5 in the form g + z*h and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -38*m - 90. Let f(o) = -4*o + 3. Let s(t) = -2*f(t) + j(t). Determine s(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -163 - 1?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 13*c**2 - c + 1. Let s be x(1). Suppose -s = h - 11. Is 71 - 2 - h\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -49*v**2 + 3*v + 53. Let q(u) = -110*u**2 + 7*u + 106. Give -9*b(w) + 4*q(w).\nAnswer: w**2 + w - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 6*w**2 + 5*w + 3. Let n be g(5). Put 5, 1, n in increasing order.\nAnswer: 1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*m - 4*m. Suppose f - 1 = m. Which is smaller: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32, -48, -74, -110, -156?\n\"Answer: -5*v**2 - v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -454663*x + 86840636. Determine k(191).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 6840?\nAnswer: 47880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1641)\/2*16\/(-24). Let b = 543 - x. Sort b, 0.5, 1\/3, 14.9 in ascending order.\nAnswer: b, 1\/3, 0.5, 14.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7730 - -7758. Sort -2, -3, 5, -9, k in decreasing order.\nAnswer: k, 5, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12381 is divided by 100?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, n: 2, p: 2}. Give prob of sequence unp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1011 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1013, 0.3, -18399\/11 in increasing order.\nAnswer: -18399\/11, 0.3, 1013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 5*c + 4 = 0, 3*d - 3*c - 28 = c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i. Suppose 0 = 2*x - i*x. Is -2\/7 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19074, 38908, 58732, 78540, 98326, 118084?\nAnswer: 137808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 15 = 20. Let a be 2\/(-5) - (0 + 817\/m). Let g = 310 - a. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 28172, 29259, 30346, 31433, 32520, 33607?\n\"Answer: 1087*r + 27085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.9597031ng?\nAnswer: 0.0000000000009597031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/6)\/((-50)\/21150*-141)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -584, -237, -2, -29 in descending order.\nAnswer: -2, -29, -237, -584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(539) - (1 + sqrt(539) - sqrt(539))) + -4 - sqrt(539))**2 - sqrt(539)).\nAnswer: -100 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 0 + 0*j - 2\/25*j**5 + 61*j**2 - 1\/1050*j**7 - 8\/15*j**3 - 1\/75*j**6 - 4\/15*j**4. Factor k(b).\nAnswer: -(b + 2)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/5*15\/(-6). Suppose -2*z + 4*z - r = 0. Let f(b) = -b + z - 7 - 2*b. Determine f(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -8.99. Let f = c - -0.01. Let d = f + 1. Sort -4, 5, d in ascending order.\nAnswer: -4, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12037248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - h**2 + 2. Let d be p(2). Let n(v) = -2*v + 3. Let y be n(d). Let f(i) = i**3 + 9*i**2 - i - 6. What are the prime factors of f(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -63*u**5 - 11*u**2 + 51*u - 11. Let y(r) = -32*r**5 - 6*r**2 + 26*r - 6. Let v(i) = 6*l(i) - 11*y(i). What is the second derivative of v(h) wrt h?\nAnswer: -520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 6*z - 17 - 18.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((0 + 1)*-3)\/(-1). Suppose 0*r - 104 = -4*r. Suppose -x*t = 8 - r. Solve 0 = -p + 4*p - t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2. Let n = 0.0414 + -0.4414. Which is the closest to -18? (a) x (b) n (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -12*u + 131. Let c(k) = 68*k - 720. What is -5*c(y) - 28*l(y)?\nAnswer: -4*y - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 6711*s**2 + 3356637*s - 3363351.\nAnswer: 3*(s - 1)*(s + 757)*(s + 1481)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/7*n**2 - 72\/7 - 1\/7*n**3 - 12\/7*n.\nAnswer: -(n - 6)**2*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1022 (base 3) to base 10\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = j, -4*a = -1098*j + 1101*j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-915)\/4270*(-6)\/(-1).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*y - 116 = -y, y - 55 = -q. Let w = q - 50. Solve -16 = 4*v - w*g, -3 = v - 4*g + 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 99146619 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/2*-1*2. Let r be (-1)\/((1\/5)\/((-33)\/55)). Find the second derivative of -10*f**4 + 19*f - r*f**4 - u*f wrt f.\nAnswer: -156*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 232776.7443216.\nAnswer: 232776.8443216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 + 194*n**2 + 199*n - 304. Determine b(98).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**3*v**2*w + k**3*v*w**2 + 26*k**3*v*w + 580*k**3*w**2 + k*w**2 - 390742*v**2*w**2 + v wrt v?\nAnswer: -4*k**3*w - 781484*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/(-8))\/(6\/24). Let i = w + 15. Let p be 238\/i + 6\/(-9). Calculate the greatest common divisor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 25 (b) -22\/3 (c) -4\/3 (d) 5 (e) -15.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3859, 1459, -5043, -17699, -38561?\n\"Answer: -342*k**3 + k**2 - 9*k + 4209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - 8. Let o = -16 - p. What is the second smallest value in -0.1, o, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4210.42l in millilitres?\nAnswer: 4210420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 41\/13 + (48\/(-104))\/(24\/8). Which is the nearest to r? (a) -5 (b) -0.4 (c) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.7462115 rounded to one decimal place?\nAnswer: 11.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1572 = 3563*a - 3956*a. Let g = 11 + -7. Calculate the remainder when a is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 0*u**4 - 10 + 0*u**2 - 3*u**3 + 0*u**6 + 6\/7*u**7 + 0*u**5 + 0*u. What is the third derivative of i(n) wrt n?\nAnswer: 720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 4*t + 23, 3*t + 16 = -0*n - 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*v = -6. Suppose -1356 = -3*o - 3*m, v*m + 530 = o + 78. Suppose 4*a - 188 = -3*z + o, z + 330 = 2*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 + 0)\/(12\/(-200)). Suppose -j = -2*z - 3*z. Suppose 2*d + 5*p = -3*d + z, 11 = 2*d + p. Calculate the remainder when 12 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/3759 and -5\/3759.\nAnswer: 3759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 + 281*l**2 + 140*l + 30. Give w(-140).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-15)*270\/864*(-8)\/16.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 11*u - 4. Let t(o) = 7*o - 3. Let w(s) = -5*n(s) + 8*t(s). Determine w(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*k = -104*k + 80. Let g be (-2)\/8 - 5058\/(-8). Suppose k*q = -47 + g. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z + 0*z - z)*(2*z - 4*z + 4*z) - z**2 - z**2 + z**2 - z**2 - 5*z**2 + 4*z**2)*(-536 + 0*z**3 - 781 - z**3).\nAnswer: 7*z**5 + 9219*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 191413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u - 20 = 65 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 37 = 2*q + 2*i, 5*q = 113247*i - 113242*i + 40 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 3448?\nAnswer: 44824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -16*i**3 - 10*i**2 - 11*i - 58. Is z(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*z - 103, 3*h = -4*z + 67 + 54. Suppose 6 + 19 = -5*q, -4*g - q + 439 = 0. Calculate the remainder when g is divided by z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i + 6. Let a be (1 - 0) + -2 - 5. Let s(x) = -4*x + 5 + 6 - 9*x + 4*x. What is a*s(r) + 11*c(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of (-6 - 851)*(2 - (5 - 2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 + 2*l**2)*(-2 + 0 + 3) + 12341070*l - 13509*l**2 - 12341070*l)*(-1 + 1 + 1) to the form r*l + k*l**2 + j and give k.\nAnswer: -13507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 20 = -4*g, 12 = 5*z + 3*g - 3. Suppose -3*h = -13 + 1. Suppose 3*a = -h*b - z*b + 41, 3*b - 28 = -5*a. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 489870.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1701) + sqrt(1701) - sqrt(1701))*4 - (sqrt(1701) + (-2*sqrt(1701)*-2 - sqrt(1701)) + sqrt(1701)))\/((sqrt(84)*-2*4)\/(sqrt(1728)*-1)).\nAnswer: -27*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4328 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2576424841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i = 27217 + 4045. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14535*q**3*w**3 - 6094*q**2*w**2 + 2*q*w**3 wrt q?\nAnswer: -87210*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**3\/11 + 3363*f**2\/11 - 8544105*f\/11 + 4236816325\/11 = 0.\nAnswer: -5173, 905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 11616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000635704 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3201464?\nAnswer: 2, 7, 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p. Let t(r) = r. Let w(i) = -6*a(i) - 15*t(i). Suppose 0 = -s - 38 + 41. Let d(z) = 4*z**2 + 3 - 2*z**2 - s. Determine w(d(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*1\/(-2)*-4. Let y(f) = -2*f**g + 0 + 0. Let t(n) = 24*n**2 + 16*n + 16. Let j(s) = 8*s**2 + 5*s + 5. Let w(a) = -16*j(a) + 5*t(a). Give y(w(o)).\nAnswer: -128*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 24, 88, 192, 336?\n\"Answer: 20*c**2 + 4*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -120000?\nAnswer: 112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t = 7*t - 15, -4*f - 3*t = 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - k + 2*k**3 - 5*k**2 + 5*k**2)*(6 - 13 + k + k) as n + d*k + s*k**3 + c*k**2 + l*k**4 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/25)\/(1\/(-5)). Let l(z) = -1 + 2*z - 4*z**3 + 2 - 4*z**2 + 2*z**3. Is l(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 246*o**2 - 33*o - 33. Let m be h(13). Suppose 52*r - m = 8080. Calculate the greatest common divisor of 22 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 - 2728?\nAnswer: -2711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2747 + -251. Is 48 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 69411 and 69423 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 11*q**2 + 28*q. Let k be a(7). Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 208 and 6292?\nAnswer: 25168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 5*p - 95, 4*p - 10 - 82 = -3*g. Let i be 10\/g + (-1)\/3. Let n = -32093 + 32097. Which is the nearest to 0? (a) -5 (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*c - a, -a = 4*c - 0*a - 51. What is the smallest common multiple of c and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4067065 = -2*a, -d - 615799 = 4*a + 739886. Let p = 2285689 + d. Round p to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6580, 26332, 59246, 105316, 164536, 236900, 322402?\n\"Answer: -d**3 + 6587*d**2 - 2*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5396.4 + 5396. What is the second biggest value in 1\/382, -3, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1469*h**3 + 7*h**2 - 9*h + 4. Let m be 1\/((-2)\/9 - 3\/(-135)). Let p(n) = -734*n**3 - 3*n**2 + 4*n - 2. Let z(l) = m*p(l) - 2*t(l). Is z(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**0*o*o)\/o*o)**(-41)\/(o\/(o**0\/o))**(-1\/4) assuming o is positive.\nAnswer: o**(-245\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/23 (b) -1 (c) -129\/4 (d) 4 (e) 1.77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -571*l = -551*l - 140 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6102 + 0.1102. Let t = -10 + 5. What is the second biggest value in t, i, 0.1, 1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*x - 107243 + 108279 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 - 85. Sort m, 2, 1 in ascending order.\nAnswer: m, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssisiihs. What is prob of picking 2 s, 1 i, and 1 h?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.1*0.04.\nAnswer: -0.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/5 (b) -0.3 (c) 0.5 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 67509369?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -9*q + 1. Let j(h) = -10*h + 1. Let d be 12\/(-8)*(-20)\/(-6). Calculate d*j(i) + 6*k(i).\nAnswer: -4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 943211 is divided by 235179.\nAnswer: 2495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1362900 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 equal to -665\/58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*v - 56*v - 117*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40235994?\nAnswer: 2, 3, 59, 73, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Suppose 0 = -3*y - 2*y - 15. What is the units digit of y\/(m*6\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2376 - -2400. Solve i*r - 19*r - 15 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/15*6\/45.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 + 15*h**4 + 3*h**3 - 18*h - 2 + 19*h in the form b + y*h**2 + g*h**3 + u*h + l*h**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - g = -2*t + 20, -t - 20 = 5*g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*g - 111*g - 348 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-74 + 67 - (-2 - -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 1 + 5 = 0, -2*x + 4*h = -280. Let f be ((-2808)\/(-20) - -1) + 1. Let j = x - f. Is j != 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6434096l?\nAnswer: 643.4096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -35. Suppose o = -g + u, g + g - 30 = 2*o. 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 6762 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: Evaluate (-5)\/(-50) + (-37)\/(-30).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7473862?\nAnswer: 2, 11, 383, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 23*r**2 - 43*r + 21. Let s be m(21). Suppose 3*q + 5*k - 1392 = 9*k, s = 2*k + 6. List the prime factors of q.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (3 - (0 + 1)). Suppose g = w + w. Solve w = -0*u + u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*z - 8 = -0*z, 0 = -5*u - 4*z - 6. Let l = 154040 - 154040. What is the closest to -1\/2 in l, 5\/4, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -37 (b) -120 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60512 divided by 1952.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 7*l**2 - 6*l - 1. Let g be n(6). Let p be 8 + (g - 4\/2). Factor 0*o**2 - 4\/3*o**p + 0 + 0*o + 2\/3*o**3 - 2\/3*o**4.\nAnswer: -2*o**3*(o + 1)*(2*o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11\/(-33))\/(2\/(-48)). Suppose -m*t + 10*t = 12. Suppose 3*y + 101 = b, -t*b = -b - 3*y - 445. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 1:13 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + 12*v + 25. What is w(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -202*u**3*v*z + 6*u**3*v + 67*u**2*v*z + 10060*u*v wrt z.\nAnswer: -202*u**3*v + 67*u**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 263982 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 4*q - 836, -99*q - 592 = -3*h - 95*q. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9177\/16 + -574. Let t = -1913\/171 + 119\/38. Calculate the common denominator of f and t.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9625.5 rounded to the nearest 100?\nAnswer: -9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 107365881946 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**4\/7 - 4414*i**3\/7 - 2419902*i**2\/7 + 2450898*i = 0.\nAnswer: -1107, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 457 greater than 458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12389, -49604, -111641, -198506, -310205?\n\"Answer: -t**3 - 12405*t**2 + 7*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85953?\nAnswer: 3, 7, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 7) to base 14.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 1795c0?\nAnswer: -1795c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220, 450, 686, 922, 1152, 1370, 1570, 1746?\nAnswer: 1892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * 572.\nAnswer: 8580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147714 and 810.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100 - 5*q - 47*q + 5*q**2 - 43*q.\nAnswer: 5*(q - 20)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47725 + 47730. Solve x*c = 3827 - 3822 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15539*h**3*w - h**3*y + 19*h**3 - 3*h**2*w*y - 2*h**2*y - 10*h*w + 865*h*y - 25*y wrt w?\nAnswer: -15539*h**3 - 3*h**2*y - 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24958)\/(-2) - (5\/5 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -104*j + 446. What is b(6)?\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4691 - -4690.984. What is the nearest to 0 in v, -1, 5\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y - 3. Let m(u) = -4*u - 12 + 3*u - 9*u - 5*u. Let v(a) = -21*g(a) + 5*m(a). What is the first derivative of v(n) wrt n?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z**3 + 122*z**2 + 71*z + 115. Calculate g(25).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323270967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2. Let d(p) = 15 + 5042*p - 2530*p - 2517*p. What is s(d(o))?\nAnswer: -25*o**2 + 150*o - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3550422 rounded to 2 dps?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5, 67, 177, 341, 565?\n\"Answer: v**3 + 18*v**2 + v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1197 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31*c + 19 - 2 - 9*c + 61 wrt c?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 22*c**2 - 6430*c - 8368. Let k(f) = 6*f**2 - 2. Let l(q) = -4*k(q) + x(q). Find the first derivative of l(i) wrt i.\nAnswer: -4*i - 6430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(((-180)\/54)\/10))\/6?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 220*n - 8742.\nAnswer: 2*(n - 31)*(n + 141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1357 is divided by 92\/2 - 7*(-5)\/35.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1, 1\/1487, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217673 is divided by 152?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*n**2\/5 - 533*n\/5 - 488\/5 = 0. Calculate n.\nAnswer: -8, -61\/59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(112)*1)**2 + 5 + sqrt(112) - (3 + -1*sqrt(343) + -4)**2.\nAnswer: -223 - 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -6. Let i = 0.2 + 0.3. What is the nearest to l in -4, i, 1\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 810 and 5290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 5:13 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 663, 1328, 1993, 2658?\n\"Answer: 665*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -40705 + 1?\nAnswer: -40704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 77149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -62280 divided by 865\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -30?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13262 divided by -793\nAnswer: 13262\/793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0321 + 213.9679. Let t = -6551554106 + 6551554319.99999903. Let y = t - v. What is y rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -8*k - 17. Let n(m) = -4658*m - 2. Give l(n(y)).\nAnswer: 37264*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -1\/19, 4, 0.33706?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 330 + 304 = 0. Sort y, -0.1, -1 in decreasing order.\nAnswer: y, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 159 = 2*i - 5*i - 0*a - 0*a, 3*a - 6 = 0 for i.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 29*o**3\/3 - 5*o**2 - 6*o - 5. Differentiate x(b) wrt b.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889 a factor of 714312127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (4 - 3)*1 - -1*59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by 6\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 0.53 (c) -603\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7308212393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38202 * -17334.\nAnswer: -662193468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l**2 + 2*l - 2. Let b(h) = 8*h**2 - 3*h + 3. Let k(a) = 4*b(a) + 6*i(a). Let t = 7 - 3. Let q(j) = -t*j**2 - 3*j**2 + 4*j**2. Determine q(k(r)).\nAnswer: -48*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98828039?\nAnswer: 98828039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2460, 2460, 2462, 2466, 2472, 2480?\nAnswer: 2490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*y + 15, -1 = -5*g - 2*y + 9. Let m = g + 1. Let s be 1\/2 - m\/(-2). Solve 1 = 5*h - 0*k - 2*k, k - s = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/8*(-96)\/(-432).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4*t + 106. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4252 = 2*z - 2*r, 5*z - 2*r = -4*r + 10644. Let s = z + -4347\/2. Calculate the common denominator of -69\/8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, -2\/7495, 0.3, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 120584, 120605, 120626, 120647?\n\"Answer: 21*z + 120563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -54\/7, -287, -7, 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 3 (c) -1 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1855, -3708, -5561, -7414, -9267?\n\"Answer: -1853*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -22*y + 28. Let p(h) = 0 - 94*h**y - 2 + 92*h**2 + 2. Let z(r) = -7*r**2 - 8. Determine p(z(s)).\nAnswer: -98*s**4 - 224*s**2 - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 10*s**2 + 6*s - 12. Calculate g(3).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 43 + 0\/(0 + 1). Let l = -30 + o. What is the highest common divisor of 104 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 3*j**2 - j + 4. Let u be k(3). Let m = -1986 - -180729\/91. Is u greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 939156 and 14400392.\nAnswer: 43201176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 1036.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/5 - 3)\/(-1). Let g(a) = a**2 - 9*a + 7. Let p be g(8). Which is bigger: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -854 - -1353. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -87 - -114. What is the greatest common factor of 216 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s. Let b(a) = 552*a**2. What is n(b(i))?\nAnswer: 552*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-40))\/(1\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000223692 to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**5 - 12*g**4 + 33*g**3 + 34*g**2 - 84*g - 72 = 0.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 65, 234, 575, 1148, 2013?\nAnswer: 3230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 13*m**2 - 96*m - 880. Calculate v(-11).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5024 and 17312.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*v + 2*v - 27, 1 = 3*v + 2*s. Suppose -174 = -3*g + 4*t, -v*g - 5*t = -47 - 127. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593942 < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -46 and -41692.10719.\nAnswer: -41738.10719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}