diff --git "a/data/dm_maths/full_data_1/102_11255.jsonl" "b/data/dm_maths/full_data_1/102_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/102_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: How many minutes are there between 4:10 AM and 1:19 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q - 6*q. Let i = q + 2. Let m be 2\/(-8) + (-78)\/72 - (-20)\/15. Solve m = -h + i*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 8:09 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*v - 6, 79*v + 4 = 83*v - 4*i. Solve v*z + 5 = 5*y, -z + y - 1 = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 12:06 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.34 in -2, 19, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3391 by -23837.\nAnswer: -3391\/23837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 6*k**2 - k - 7. Let z be j(4). Suppose p + z = 4*p. Let c be 56\/(-98)*p\/(-2). Solve c*m + 4 = -m + h, 2*h = -3*m - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*q**4 + 855?\nAnswer: -100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 143 + -140. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-20))\/(((-32)\/(-8)*-1)\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -9*z + 6*z. List the prime factors of 4\/(5\/195*z\/4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 217. Suppose -8*j = -z + 3. Suppose -28*l = -j*l - 56. What is the greatest common divisor of 42 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00654559092 rounded to 7 decimal places?\nAnswer: -0.0065456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 206917, 413977, 621179, 828523, 1036009?\n\"Answer: 71*m**2 + 206847*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*u + 195*z - 197*z, -2*z = 2. What is the lowest common multiple of u and (-1 + 39 + 0)\/2?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i + 2*i + 3*i)*(-1 + 8 - 2)*(-2 - 401 - 1024 + 2 - 2 - 1 + (3 - 2 - 2)*(-1 - 1 + 3) - 1 - 5 + 5).\nAnswer: 14300*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 306644407 and 524?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - a = 33. Let s(j) be the third derivative of j**4\/12 + 4*j**2 + 15. Calculate s(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27965163*g**3*m + 26455*g*m - 2*g + m + 5 wrt g.\nAnswer: 167790978*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58356238*p**2 + 146336322 wrt p?\nAnswer: -116712476*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 3*l**2 - 5*l - 1. Let t be n(-4). Let s(h) = -h**3 + 3*h**2 + 4. Let g be s(t). Suppose -g*c = -193 + 69. What are the prime factors of c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w - 14. Let h(i) = -2*i**2 + 37*i + 17. Let y be h(19). Let o be a(y). Solve -4*q - 4*f + 0*f = 4, 4*q - f - 11 = o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 4*a**2 + 2. Let s be y(-4). Suppose 0 = -w - 3*t - 4, -2*t + 4*t - 9 = -3*w. Factor 2 + 3*g**2 - w*g**s + 2*g - 2*g**3 + 0.\nAnswer: -2*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/5 + 569222*t\/5 + 81003421321\/5.\nAnswer: (t + 284611)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 525245051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*s - 14254, -8 = -5*k + 2. Let b = s - -5377. Round b to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (40\/6)\/((-20)\/(-930)). Let g = -4652\/15 + v. Let y = 0.2 - 1.2. Which is the nearest to y? (a) g (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 594*h**2 + 1169*h + 8891. Give v(592).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 904883*m**2 + 19*m - 20407.\nAnswer: 1809766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 164?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12514*r + 2530*r = 1560*r - 115440 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 g when three letters picked without replacement from gggggggggkgggkgggggg?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -442*a**3*y + 757*a**3 + 2*a**2*y - a**2 + 53*a*y - a + 12*y - 13 wrt y?\nAnswer: -442*a**3 + 2*a**2 + 53*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -453163251 + 0?\nAnswer: -453163251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2058 + -2034. What is the lowest common multiple of 24 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -412990*d - 4955887. What is h(-12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1424 + 1421.5. Let h = 501 - 498.555. Let x = h + l. What is x rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*h + 3*o = 35, -4*h - 2*o = -66. Suppose -h = 3*g - 25. Calculate the least common multiple of -4 - 4\/((-16)\/20) and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/16 + (1197\/42)\/19.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 368283 - -5.\nAnswer: 368288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.2 + 0.162.\nAnswer: -5.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*(1 + sqrt(275)) - (sqrt(275) + (2*sqrt(275))**2 + sqrt(275))*2) - (2*(sqrt(1331) - -2*sqrt(1331)) - sqrt(1331) - (-2*sqrt(1331) + -4))**2*5.\nAnswer: -317367 - 2960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1381 + 1982 - 1608)*(-4 + 1 + 1)*(4*m**2 - m**2 - m**2) to a*m + c + b*m**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 273244 equal to 819728\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 23*p**2 - 9*p - 35. Let r(v) = 7*v**2 - 3*v - 11. Calculate -2*j(g) + 7*r(g).\nAnswer: 3*g**2 - 3*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5 = 1. Suppose -v*b = b - l - 28, 0 = -4*b - 3*l + 28. Suppose -17 = 6*j - b*j. What is the remainder when 31 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4262 - 2217*n + 4262)*(2*n**2 - 5*n + 5*n + n**3) + n**4 + 2*n**4 - 4*n**4.\nAnswer: -2218*n**4 - 4434*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 10:24 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/3)\/(-1))\/(98\/(-126)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**4\/8 + 142*a**2. Let i(v) = -4*v. Determine 4*i(o) - 3*t(o).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 79445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = -31*i + 40*i - 1331. Calculate the remainder when 465 is divided by i.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8034800 to the nearest 100000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**5 - 1129*l**3 + 2220*l**2 + 20*l**4 - 575*l**4 + 1312*l + 549*l**3 + 928*l = 0. Calculate l.\nAnswer: -2, -1, 0, 2, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 15 + 21 + 15 - 66 + 3*l + 23. Let q(n) = -6*n**2 - 5*n - 5. Let f(d) = 3*d**2 + 2*d + 2. Let a(u) = -5*f(u) - 2*q(u). What is r(a(c))?\nAnswer: -9*c**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*p - 73212 = -71436 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 44947 + 18246 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6*q - 701. Let v(k) = -3. Give l(n) - 6*v(n).\nAnswer: -6*n - 683","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.027 times -21\nAnswer: -0.567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3259, 3181, 3129, 3103, 3103, 3129, 3181?\n\"Answer: 13*n**2 - 117*n + 3363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.3203 + -1.3203. Let d be (2 + (0 - -10))\/2. Put 0, d, o in descending order.\nAnswer: d, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 140203, 560070, 1259849, 2239540, 3499143, 5038658, 6858085?\n\"Answer: 139956*q**2 - q + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 + -2. Let u = -8.07 - -0.07. Let r = u - -5. Put -1, x, r in descending order.\nAnswer: x, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.2, -5\/3, 0.1, 1\/2, -311 in decreasing order.\nAnswer: 1\/2, 0.1, -0.2, -1, -5\/3, -311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 136775531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**5 + v**4 - v**3 + 2*v**2 + v. Let n(r) = 12*r**5 - 4*r**4 - 64*r**3 + 102*r**2 + 42*r. Let w(z) = n(z) - 6*x(z). Find d, given that w(d) = 0.\nAnswer: -3, -1\/3, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 + 595 - 598 + 121 - 118.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8749947 (base 10) to base 14\nAnswer: 123aa83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u = 4. Suppose -u*q = -q - 211. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/21*(-2)\/((-60)\/21). Put 4, t, 1\/5, -1 in ascending order.\nAnswer: -1, t, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -18, 4, -1\/5, -0.273, -5\/4?\nAnswer: -0.273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 236628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-6)*82\/(-8). Let i = -21 + f. What is the third smallest value in 5, i, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-9)\/17) + -2. Suppose -4*p + 4*q + 20 = 0, 5*q - 7 + 32 = -4*p. Which is the closest to p? (a) -3\/4 (b) -1\/12 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 22122211?\nAnswer: 22122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**5\/60 + u**2 + 3. Let p(f) be the second derivative of y(f). Let x(i) = 4*i. Give p(x(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-216)\/324)\/((-2)\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 5*z = -6*g - 107, -2*g + 51 = 5*z. Suppose -11*y = -16*y - 3*m + 34, 5*y - g = -m. Solve 5*u - 2*o + 3*o = -12, 4*u + y*o - 3 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -698*a + 1353*a + 5 - 684*a. Let m be (-7 - -9)\/((-2)\/5). Let t(c) = -72*c + 12. Calculate m*t(v) + 12*j(v).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -9*m. Let j(l) = 98*l**2. Give j(t(s)).\nAnswer: 7938*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**2\/7 + 3426*x\/7 - 1072024\/7 = 0.\nAnswer: 412, 1301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.016 - -0.01702. Round a to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -16 - 4. Suppose 16 = -0*j + h*j. Suppose -43 = -5*b - 3*k, -3*k - 23 = -j*b + 33. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 11:24 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 6 = -6*j, -5*j - 14086 = -5*w - 14091 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69306 and 48?\nAnswer: 554448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 15*k + 11. Let l be s(-13). Suppose -j = 4 - l. What is the greatest common factor of 9 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -318 divided by -3?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*(sqrt(162) + sqrt(162) + -2) + (sqrt(162) - (0 + -3*sqrt(162))) - (-1 + (sqrt(162) - (sqrt(162) - (-5 + (sqrt(162) - sqrt(162)*-1))))*-2))**2.\nAnswer: -36*sqrt(2) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -45 + 60 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1690 divided by -862.\nAnswer: -845\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1 + (-6)\/(-1) + 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*w + 3. Let z(y) = y**3 + 8*y**2 - 9*y. Let u be z(-9). Let b be u - (2 + 0 - 3). Put 0, w, b in ascending order.\nAnswer: w, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*x + 1, c + 0*x + 3*x = 10. Suppose 0 = -0*k + 5*k. Let g = c + k. Is g smaller than -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611905239.\nAnswer: 3, 11, 2060287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u + 40. Let n be 0\/(1 + -5 + 2). Let p be z(n). Let y = 88 - p. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n + 340. Calculate z(40).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, 2\/3, -11\/15, 69, -0.05, -41?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g - 27*g - 374 = -13*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17830.87 millilitres in litres?\nAnswer: 17.83087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120354 is divided by 1065?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r\/r**6*r)\/r*r)\/r)\/r*r)\/r)\/((r\/r**(-3\/2))\/r*r*r)*r**(-2\/3)*r**2*r assuming r is positive.\nAnswer: r**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 79*k - 51. Give s(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1765498?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine sixteenths of a century?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w - w - 28 + 209 + 104.\nAnswer: -10*w + 285","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z**7)*z)*z)\/z*z**(-2\/19)*z*z**(-5)*z**(-4))**34 assuming z is positive.\nAnswer: z**(-714\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 364286\/14 + (162\/42)\/(-9). Let m = a - 11321. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 24. Is 3*-1*(-168)\/u a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/126288 and 67\/3600.\nAnswer: 3157200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2836518 greater than -2836512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*x = -132*x + 80*x - 6235 for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24763923 - -41462630. Let p = y + -10698707. What is p rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -80568, -161737, -242906, -324075?\n\"Answer: -81169*v + 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f - 25. Let s be q(-14). Let h = s - -57. Solve -2*d + 2*x - 6 + 4 = 0, -3*x = -h*d - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 2*o**3\/51 - 2*o**2\/17 + 2*o\/17 - 1. Let j(l) = 0. What is l?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106 - -48. Let p = o - -53. Sort -4, p, 5.\nAnswer: p, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.24, -0.5, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)\/(m*(m*m**(-1\/3)*m)\/m))\/((m**(-2\/11)\/m)\/(m\/(m**1*m))))**(-6\/5) assuming m is positive.\nAnswer: m**(164\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, -3, -3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3780592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 8*t**2 + 4*t - 5. Suppose 15*c - 16*c - 132 = -5*g, 124 = 5*g + 3*c. Suppose 2*l = 4*i + g, l = 2*i - 3*l + 10. Determine x(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2)*-2)\/(-1). Is 1\/2*10*y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22286810081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 930200.\nAnswer: 2790600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 7*g + 15. Calculate a(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, v: 1}. What is prob of sequence wwv?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -15. Suppose p = -0*m - l*m - 49, -3*m = p + 72. Let r = m - -26. Solve 2 = -r*o + o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 - 16*a + 1 - 16*a**2 - 6 - 4*a**3.\nAnswer: -4*a*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232895.\nAnswer: 5, 13, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1326\/420649 or 0?\nAnswer: -1326\/420649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.8 in -2, -0.1, -2\/5, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 363 + -141. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -994 + 997. Let 9\/2*d - 6*d**2 + 3*d**4 - 9\/2*d**o + 3 = 0. What is d?\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 0 + (0 - -1). Let u(f) = -f**2 + 3*f - 2. Let r be u(3). Let p = -14 + 13. Sort p, m, r in decreasing order.\nAnswer: m, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406061?\nAnswer: 239, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 8*n + 12. Let r be k(-2). Let d = -85\/6 - -1117\/78. Which is the nearest to -1\/2? (a) r (b) d (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g + 620 = 395 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**2 + j**2 + 0*j**2. Let z(b) = 4*b - 4*b + 11*b**2 - 8*b**2. Give r(z(n)).\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 4, 10, 14421, 1\/7, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, j: 1, i: 3, y: 2}. What is prob of sequence ijy?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwmwm. Give prob of picking 2 m and 1 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 + (-1 + -2 - -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -214*j**4 - 179*j**4 - 430*j**4 - 460 - 231 - 2 wrt j?\nAnswer: -3292*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f - 13*f + 5*f - 3*f**4 - 27*f**3 + 4*f in the form b + c*f**4 + a*f**3 + r*f + z*f**2 and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b, 4*c - 14*b - 206792 = -9*b. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008805834 to 5 decimal places.\nAnswer: -0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46952, 46994, 46998, 46946, 46820, 46602, 46274?\nAnswer: 45818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 4965*x = -4970*x + 25, 0*p + 4*p - 12 = 11*x - 7*x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6908.99 * 0.011\nAnswer: -75.99889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109728, 109733, 109738, 109743, 109748?\nAnswer: 109753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -169150, -170265, -172124, -174727?\n\"Answer: -372*d**2 + d - 168779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 - 1. Let c be s(2). Let d = c + 7. Let z be 2 - (-3 - d)\/(-1). Is z greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.0628042mm?\nAnswer: 62.8042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22998967 is divided by 7666272.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3172*i = 63476 + 82436 for i.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48501569?\nAnswer: 1303, 37223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (40 + -29 - -58) + (3 - -6)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9702, -19401, -29084, -38745, -48378, -57977, -67536?\nAnswer: -77049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 904589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 2*v**2 - 5*v - 4. Let n(d) = 0*d**2 + 3*d**2 - 7*d + 6 - 12 - 3*d**3 + 4*d**3. What is 7*g(z) - 5*n(z)?\nAnswer: 2*z**3 - z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*s**2 + s**4 - 3*s**4 - 10*s**4 - 34*s**2 wrt s?\nAnswer: -288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b - 6. Let o(j) = 1. Give 5*o(x) + y(x).\nAnswer: 5*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 110073 bigger than 110124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((((sqrt(114)*2 - sqrt(114))*3)\/(sqrt(6) - (sqrt(216) + (sqrt(216) - (sqrt(216) + sqrt(216)*-2)))))**2 + 5).\nAnswer: -9696\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -21. Let u(f) be the first derivative of 2*f**3 + 2*f**2 - 2. Is 14 a factor of u(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5883 = 426710*u - 426821*u for u.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-8))\/(9\/(-4)). Let o = 116 - 121. Let n be 9 + o - (0\/1 + 4). Which is greater: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -134*a - 9. Let l(g) = 156*g + 10. Let d(w) = 6*l(w) + 7*y(w). Let k(p) = p**3 - 4. Let v be k(0). Determine d(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*h = -137 - 126, 1 = h. Let c = 70 + -45. Suppose r = 5*k - 3*g, -2*k + 0*g = 3*g - c. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 17, -1\/5, -0.1986, 18, 0, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -90*s + 128 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(-u - 2*u + 5*u)*(-3*u**2 + 2*u**2 + 0*u**2).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 747208663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3258 or 0?\nAnswer: -3258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 3012 = -3032 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-11 + 23) - ((3 - 3) + -6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -172, 2, 1 in increasing order.\nAnswer: -172, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(513)*3 - (sqrt(2052) + sqrt(2052)*-2 + sqrt(2052)))\/(sqrt(9)\/sqrt(3)*2 - (sqrt(180)\/sqrt(5))\/sqrt(12)) + 0.\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-10))\/((56\/(-76))\/7)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 - 9*h**2.\nAnswer: h**2*(h - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 214\/(-6741) - 4775\/(-1575)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 37 - 7 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 304140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -58*r + 0 - 35\/2*r**2 + 1\/6*r**3. Differentiate y(p) wrt p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 44*k - 476. Let h be p(53). What is the nearest to h in -0.7, -5\/2, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25197209 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: Solve -11*z + 62 = 32 - 36 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 4*m + 6. Let b be v(-7). Suppose 5*f + 12 - b = 0. Suppose -1415394 = -f*x - 428394. What is x rounded to the nearest 10000?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 98, 862, 2354, 4580, 7546, 11258, 15722?\n\"Answer: m**3 + 358*m**2 - 317*m + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14496\/(-36)*516\/(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-18))\/(1\/(-3))*(-2510)\/502.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117662 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one twentieth of a day?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 w when two letters picked without replacement from {w: 2, p: 9, j: 1, r: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 + 1795*t - 1795*t + 31*t**3 + 1 to x + i*t + j*t**3 + g*t**2 and give j.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, 0, -13, -5 in increasing order.\nAnswer: -13, -8, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0231 + 4.0231. Let f = -0.02 + 0.22. Which is the nearest to -1? (a) f (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1 + sqrt(432)*3 - sqrt(432) - ((sqrt(432)*2 - sqrt(432)) + 3)))**2 + -3 + 2 + 4.\nAnswer: -120*sqrt(3) + 460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -69?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*i - t - 17625 = 0, -3*i + 17625 = 3*t. Suppose -3*w + 2*s + i = 0, -5*s = -2*s - 12. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 228\/5*(30 - 27). Is 138 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1343 and -923?\nAnswer: -1239589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**3*u**4 + 2*o**3*u**2 + 6*o**2*u**4 - 3*u**4 - 335*u**2 wrt u?\nAnswer: 24*o**3*u + 144*o**2*u - 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 26 = -2*z, -4*z + 5 = -t + 21 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3669569 times 46?\nAnswer: -168800174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 266, -0.4, 0.5, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5)*y*y\/(((y**(-12)*y)\/y*y)\/y)*(y**(1\/6)\/y)**(1\/17) assuming y is positive.\nAnswer: y**(913\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 + -60 - (-2 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -193 - -203. Solve 0 = 2*d + 2*n - l + 2, 0 = -3*n + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/4944024 and 31\/282.\nAnswer: 4944024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449*u - 4407 = -15632 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (497\/(-70) + 5)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - 1 - 0 - 0\/(1848\/44). Let c = -1 - 14. What is the least common multiple of 7 and c\/(-4)*(-2 + 3)*o?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*y + 186 = 0. What is the remainder when y is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77 - (-162 - -46)) + -131?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*r + 1025 + 308 = -273. Let v be 1*(1 + -2 + 2). Calculate the least common multiple of r and 57\/6 - v\/(-2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -195*q + 174 + 1191. Let t be 2\/(-7) - 788\/(-14). Let m = 80 - t. What is the remainder when m is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(78)\/sqrt(72))\/((sqrt(3) - sqrt(3)*1)*-5 - sqrt(3)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - z - 1. Let x(h) = 5*h**3 + 4*h**2 - 7*h - 2. Let y(a) = -6*s(a) + x(a). Let v be y(4). Solve -4*k + 6 = -3*t - v, 2*k - 3*t = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -9*g**2. Let u(q) = -2*q**2 - 3*q. Let f(v) = v**2 + 2*v. Let t(d) = 6*f(d) + 4*u(d). Determine t(o(a)).\nAnswer: -162*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.132 minus -0.02?\nAnswer: 0.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99 + -98. Which is smaller: 11\/19 or p?\nAnswer: 11\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 328 = 3*h. What are the prime factors of h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u - 9. Let n(v) = -7*v + 10. Let i(y) = 3*n(y) + 4*t(y). Let j(o) = -2*o**2 - 3*o + 4. Let r be j(-3). Calculate i(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2012230?\nAnswer: 2, 5, 11, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -2651, -3\/17 in increasing order.\nAnswer: -2651, -2\/11, -3\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105296.\nAnswer: 2, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 18 + 2. Suppose 0 = 4*l + l - 15. Suppose k = -5*s - 5*z + 9, l*s - 5*z - 11 = 0. Which is the third smallest value? (a) s (b) 2\/7 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.853 + 0.913. Which is the smallest value? (a) -1 (b) 0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*f + 0 = 10, 5*m - 5*f = 20. Suppose 0*s + m*s - 27 = 0. What is the highest common factor of s and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 25, z = -t - 3*t + 24. Suppose -z*s + 9 + 71 = 0. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dssxcdaxxxxddss. What is prob of sequence sdx?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 294356823 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/9 - 2*f\/9 - 28\/3.\nAnswer: 2*(f - 7)*(f + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.9 and -0.2?\nAnswer: -1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 8*l - 7. Let z be h(12). Let u = 25 + z. What is the units digit of (u\/4)\/(6\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o + 2414*o**3 - 4822*o**3 - 14 + 2406*o**3 - o**2. What is i(3)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjjjgjjjjjjjj. What is prob of sequence jg?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k**3 - 12*k**3 + 161*k**3 - 129*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(1\/2))**(-21)\/(x**(-3\/8)\/(x\/x**(4\/7)*x)))**(-2\/53))**43 assuming x is positive.\nAnswer: x**(20941\/1484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/9)\/((-3)\/(-9)). Let j(b) be the second derivative of -b**5\/5 - b**4\/12 - b**3\/3 - b**2 + b. Let v(a) = a**3 + a + 1. What is r*j(f) + 2*v(f)?\nAnswer: -2*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 37*b - 192 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(832) + 0 + sqrt(832) + (sqrt(832) + -2*sqrt(832))*-2 + 0 + (sqrt(832) + -2)*5)*-5)**2.\nAnswer: -46800*sqrt(13) + 1689025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*v - 5*r, 4*r + 211 = -4*v + 227 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -3*q - 12 + 27, 0 = 5*q - 20 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -144444?\nAnswer: -144453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 766, 920, 1074, 1228?\nAnswer: 1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 202485 - 3?\nAnswer: 202482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(((-8)\/4)\/2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2000, -4182, -6364, -8546?\nAnswer: -10728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + 2*x - x - 5*x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -8. Let s = 1 - b. Sort s, -3, -2 in ascending order.\nAnswer: -3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 4 + 4)*(-3 - 2 + 1)*(4 - 4 + 6*r).\nAnswer: -96*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601 is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-3))\/(1\/(-33)). Let w = 12 - z. Let x(y) = -y - w + 1 + 7. What is x(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3356907 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 706 - 706.4. What is the nearest to 4 in 1\/3, g, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*y**3 - 6 + 1 - y**2 + 6 in the form z*y + p + m*y**3 + j*y**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4224 (base 5) to base 16\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4653 = 4797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (3 - ((-2485)\/84)\/5)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -37*p + 40. Let w(s) = -36*s + 33. Calculate 4*j(t) - 5*w(t).\nAnswer: 32*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13512 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(132) + -2*sqrt(132))\/sqrt(11) - sqrt(12) - sqrt(12) - sqrt(36)\/(sqrt(12)\/sqrt(4)))\/(sqrt(44)\/(-3*sqrt(704))).\nAnswer: 4 + 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*y + 199 = -159 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9306 and 792.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 8:38 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + z - 6. Let i = 576 - 570. What is the highest common factor of z and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2276*z + 4097*z + 87*z + 1881 + 989 + 196 with respect to z.\nAnswer: 6460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 10*s**2 + 8*s + 11. Let t be j(9). Let a(o) = 0*o + t*o + 269 + 270 - 536. Let c(f) = f + 2. Let b = -3 - -10. Determine b*c(u) - 5*a(u).\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -17. Suppose 2*t - t = 5*g - 40, g + u*t = 8. Let o be (-4)\/g - (-13)\/22. What is the second smallest value in o, 0, 1\/6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 940 = 2*u + 4*p, -2*p + 1898 = -62*u + 66*u. List the prime factors of u.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -717*l**3*n**3 + 3*l**3*n**2 + 2*l**3*n + 340*l**2*n + 176*l*n**6 + 2*l*n + 2*l wrt n?\nAnswer: -4302*l**3 + 21120*l*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 9793*i + 78335. Determine h(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4\/4 - 287*m**3\/4 - 21749*m**2\/4 - 333913*m\/4 - 580545\/2 = 0. What is m?\nAnswer: -171, -97, -14, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807 is divided by 87?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = f + 9, 3*t - 1 = -5*f + t. Find h, given that -f - 5*h**5 + 18*h**4 + 2*h**3 - 19*h**3 + 1 + 4*h = 0.\nAnswer: -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j**3 - j**2 - 4*j. Let p(r) = r**3 - r**2 - 1. Suppose 0*k = -2*k + 2. Let x(u) = k*t(u) - 6*p(u). Calculate x(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 856 (base 14) in base 2?\nAnswer: 11001101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c**3 - 135*c**2 + 7*c. Let s(i) = 17*i**3 - 405*i**2 + 25*i. Calculate 7*a(u) - 2*s(u).\nAnswer: 8*u**3 - 135*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 t when three letters picked without replacement from {s: 2, b: 2, t: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/28 and -67\/960?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128100.\nAnswer: 2, 3, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/1 + (16 - 0) + 0 + -4. Let n be 2\/(-2 + 16\/6). Suppose 3*k + 2*h - 4*h + 1 = 0, -4*k = -3*h + n. Sort d, -3, k in ascending order.\nAnswer: -3, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 1\/2*k**3 - 4*k - 1\/4*k**4 + 0*k**2 + 0. Find the second derivative of h(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 9103547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0966 rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 10*a**2 + 12*a - 8. Determine k(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -6*x - 1. Let f be (2\/(-4))\/((-6)\/(-36)). Let m(u) = -17*u - 2. Calculate f*m(j) + 8*b(j).\nAnswer: 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*u - 264*u = -2*j - 968, 14 - 62 = 4*j - 56*u + 55*u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-5 + 4 - 2)*(-3 + 3 - 2)*(2*z - 4*z + z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/15 + 2\/3. Let y be (l - -1) + -1 + 4. Let r be (-25)\/(-5) - (-1)\/1. Is y smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i - 74 = -41 + 59 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0 = 4. Suppose v + 0*v = j. What is the second derivative of -h**v + 4*h**2 + 10*h - 12*h wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 155.41658396 to 1 dp.\nAnswer: 155.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 106 = -i + 3*i, 98 = 2*i - o. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49358 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11412 + 1?\nAnswer: 11413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -28764*i. Let l(p) = -25*p + 2. Calculate r(l(o)).\nAnswer: 719100*o - 57528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 12. Calculate s(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5569 + 10755. Let n = -62971 + 127785. Let p = n + f. What is p rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -207042*d*f + 3*d - 7434 with respect to f.\nAnswer: -207042*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3843724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.0647*0.0741\nAnswer: -0.07889427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -235*u - 6096. Let h = -5 - 24. Let w = 45 + h. Calculate the least common multiple of b(-26) and w.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -65, -2\/3, -11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**2 - m + 2. Let v = -3 - -1. Does 12 divide o(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/19 (b) -1\/4 (c) 1 (d) -7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 8*v**2. Let w(p) be the first derivative of 3*p**2\/2 - 3. Calculate w(y(q)).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/8)\/((-19)\/228). Let x(y) = -y**2 - 9*y + 11. Let m be x(u). Suppose -4*k - m + 19 = 0. Solve -p - p + k = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p. Let a(k) = -8*k**2 + 2*k - 3. Let i(s) = 9*s**2 - 3*s + 4. Let d(f) = -3*a(f) - 2*i(f). Give d(n(r)).\nAnswer: 54*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) + 2 + sqrt(832) + -4.\nAnswer: -2 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/11 - -195\/22. Find the common denominator of g and 99\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007591 rounded to 7 dps?\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/(-110) + 0 + 1\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*w = -2*w + 12, 4*w = -2*j - 6. Let c = 1 - j. Suppose 0 = 3*b + m + 2*m - 6, -5*b = -m - c. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - -630?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1844.7 - 1845. What is the biggest value in -2, a, -1\/2, 2\/11, -1.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 8 = -4*o + 2*o + 5*o + 2, 15*u = 3*o - 81 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116381 is divided by 8090.\nAnswer: 3121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20935, 20936, 20937, 20938, 20939?\n\"Answer: n + 20934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 4:08 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2111 + -852. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 1:37 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13025140, 26050226, 39075312, 52100398, 65125484, 78150570?\nAnswer: 91175656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -770 + 961. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s**2 + 29152708*s\/5 + 4372908\/5 = 0. Calculate s.\nAnswer: -3\/20, 364409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 3:31 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25340019 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/7*q**3 - 4\/7*q**4 + 2\/7*q**5 + 0*q**2 + 0*q + 0 = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11592495 or -11592490?\nAnswer: -11592490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*(-4 + (sqrt(33)\/sqrt(3) + sqrt(11))*5 + -6*(sqrt(11) - sqrt(44)))**2.\nAnswer: -640*sqrt(11) + 14160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1842*p**2 - 3491*p**2 - 2 + 1635*p**2 + 5*p**4 + 3*p**3 to the form r*p**3 + l*p**2 + g + q*p**4 + s*p and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (17 - -2 - 16) - (6 + 0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -668, -1642, -3232, -5438, -8260, -11698, -15752?\nAnswer: -20422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 141*k**2 - 24*k - 22. Let c(x) = 141*x**2 - 25*x - 17. Let w(m) = 5*c(m) - 4*y(m). What is the second derivative of w(n) wrt n?\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 16 - 20. Put -4, y, 0 in decreasing order.\nAnswer: y, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -17. Let t(f) be the third derivative of -f**5\/60 + f**4\/24 + f**3\/6 - f**2. Give t(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.98 - -0.02. Let s = x - 2.95. Let n = s - 0.25. Which is the closest to -0.1? (a) 2 (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8958 is divided by 2982?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1ccc7 (base 16) to base 5\nAnswer: 12233314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 k when three letters picked without replacement from cikwkvwwkwivkk?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 9*v**2 + 8*v + 4. Let z be m(-8). Let q be (-3)\/(-9)*(z - 1). Solve 2*p + 23 = -3*g, 22 = -g - 4*p + q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422*a - 483*a + 778*a.\nAnswer: -127*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11.9862 or 218?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 6 = 2*x. Let o(g) be the second derivative of 0*g**4 - 1\/210*g**7 + 0*g**2 - 5*g - 1\/30*g**3 + 0*g**6 + 1\/50*g**5 + x. Factor o(i).\nAnswer: -i*(i - 1)**2*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/504 and -107\/476.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-70)\/102)\/5*6. Let d = 5\/826 - 16356\/7021. Let i = d - z. What is the third smallest value in -3, i, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 102, 208, 314, 420, 526?\n\"Answer: 106*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-112)\/(-30240))\/((-1)\/3)*-12?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 534 + 428 - 87*k**3 - 43*k**3 + 625*k**3 wrt k.\nAnswer: 1485*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.2 - -3.2. Let y = -0.039 - 0.361. What is the fourth smallest value in -5, y, -3\/2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*f + 612*f + 125*f = 60*f - 33120 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 9*q**2 - 8*q - 3. Let h be f(9). Let p be ((-4)\/(-5))\/((-10)\/h). Let j be 70\/15 - (-2)\/p. Solve -2*z = 2*x - j*z - 22, 5*z = -x - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**2 + 43792864*t + 119863433582656 = 0 for t.\nAnswer: -5474108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + 47\/(-4))*75264\/(-448).\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ciinnnnnnnnc. What is prob of sequence ic?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -9. Let k be 2\/6 + 10\/6. Suppose n*r + k*r = 2*u - 20, 4*r + 7 = u. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 + 9631.892187009.\nAnswer: 9625.892187009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w**2 - 70*w - 8. What is the remainder when 127 is divided by n(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 + -1355654532?\nAnswer: -1355654466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 14*p**3 + 9. Let u(v) = v**3 + 1. Let j(r) = -6*u(r) + z(r). Differentiate j(y) wrt y.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -99*p**2. Let x(w) = -13116*w. Calculate x(s(m)).\nAnswer: 1298484*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -715558?\nAnswer: 71555b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 876, 1805, 2734, 3663, 4592?\n\"Answer: 929*i - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -738749 divided by 281\nAnswer: -2629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(4*x**2 - 4*x**2 + 4*x**3 + x)*(-182 + 712 - 2619).\nAnswer: -8356*x**3 - 2089*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*f = 2, 2*g = 3*f - 0 + 29. Suppose -2*c + g = 2. Suppose 27 = c*k - 3*k. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 10 + 7 = 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 + 76. Solve -3*u - 2*t + 3*t + 14 = g, -5*u + 40 = -5*t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6991 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 - 5*c - 1. Let f be (-3 + (-5)\/(-2))\/((-2)\/16). Determine s(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 13*w - 12. Calculate the lowest common multiple of 16 and f(-8).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -2) + -25 - 0. Let p = y - -37. Suppose p = 3*n + k, n - 3*k = -2*n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 666 and 888.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**4\/7 + 818*s**3\/7 + 23622*s**2\/7 - 9056*s + 25688\/7 = 0.\nAnswer: -169, -38, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, v: 1}. What is prob of sequence vn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4704795.1 - 1.52\nAnswer: -4704796.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 946049008 divided by 1858?\nAnswer: 509176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, 17, -5, 5, -328, -2 in decreasing order.\nAnswer: 84, 17, 5, -2, -5, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/6 + 452*q\/3.\nAnswer: -q*(q - 904)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*(sqrt(3) + 1 + sqrt(75))*5)**2.\nAnswer: 2700*sqrt(3) + 24528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2706 plus 70?\nAnswer: -2636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 0.1, 2\/3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3*v**2 - 3 + 0 + 0 - 2*v**2 + (4*v - 5*v + 2*v)*(-5*v + 4*v - v) + v - v + 2*v**2 + (-5*v + 2*v + v)*(-3 + 2 - 1)*(3 - 5 + 1)*(2 - 2 + 13*v).\nAnswer: -57*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826 a factor of 1248772184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 7 + 8 = 0. Which is smaller: -3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 + 5*l + 1. What is q(6)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*a**2 + (-10 - 4 + 3)*(-2*a**2 - 5*a**2 - 2*a**2).\nAnswer: 101*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -33902.8321 to the nearest 10.\nAnswer: -33900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 227620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u + 17. Let z be o(7). Let f be 9 - ((-1 - 0) + 0\/z). Let p = 253 + -143. Calculate the greatest common divisor of p and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*i + 684 = -472. Suppose i*d - 3151 = 793. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1880, 0.05?\nAnswer: 1880","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/175 and 4\/(-20)*0 - (-200)\/(-392).\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -115 - 21. Suppose 0 = x*k - 70*k + 1090. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e1c - -11?\nAnswer: e2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -162?\nAnswer: 5\/162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 553, 806, 1233, 1840, 2633, 3618, 4801?\n\"Answer: d**3 + 81*d**2 + 3*d + 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - y**2 + 10*y - 3. Let r be h(5). Suppose -2*t = -29 - 73. Let x = t + -30. Calculate the greatest common factor of x and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = h - 17, 4*h + 5 = -2*p + 17. Suppose -2*m - 5807 = 3*g, h*m + 4*g + 11616 = m. What is m rounded to the nearest one hundred?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 711.3054 millilitres in litres?\nAnswer: 0.7113054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 16 = 4*x, -10 = -3*t + x - 2. Suppose g = 6*g. Suppose g = -4*b + b + t. What is the remainder when 1 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 125584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -59. What is the common denominator of (7 - p) + 156\/(-15) and -17\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcccoettco. What is prob of picking 1 e, 1 o, and 1 c?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 65 = 6*n. What is the remainder when (-2)\/8 - (-189)\/4 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 - 5*c - 1. Let f be z(-2). Let l be f*(3 - 2)\/(-1)*-1. Which is smaller: l or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 - 5 - 290*h + 624*h + 5 to the form x + p*h + b*h**2 and give p.\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5950 and 5600350?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 326949 and 4904235.\nAnswer: 4904235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176063 is divided by 21001.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 23*z**4\/24 - 3*z**2\/2 + 41. Let i(c) be the second derivative of v(c). Let n(m) = -2*m. What is n(i(a))?\nAnswer: -46*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3829.9453 and -208?\nAnswer: 3621.9453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76230?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 754 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1128\/(-32) + -3 + 1692\/752.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 483 and 327.\nAnswer: 52647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-15 + -11)) + (2 - (7 - 1))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 14 = r, 0*r + 4 = 2*r. Let v be 0\/1 - 2\/(-9). What is the nearest to v in c, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1564.4 - -1769. What is c rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1373895 and 5.\nAnswer: -0.6869475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1708, -8595, -20084, -36175, -56868?\nAnswer: -82163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -37*i**2 - 37*i - 45. Let m(h) = 55*h**2 + 59*h + 68. Give 8*c(r) + 5*m(r).\nAnswer: -21*r**2 - r - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -79, -112, -147?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + sqrt(11)*-1 + 0) + -1 + -4)**2.\nAnswer: 200*sqrt(11) + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 9.9. Let r = m + 5.85. Let l = -6.15 - r. What is l rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide -1 + 1 + 48 + -12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b - 4*b + 6*b - 1)*(2*b - 2*b - b).\nAnswer: 4*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12894?\nAnswer: 2, 3, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -33145 rounded to the nearest one hundred?\nAnswer: -33100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12 from 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -713*t**4 + 2*t - 205.\nAnswer: -8556*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103005722?\nAnswer: 2, 727, 70843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1532 - -1013?\nAnswer: 2545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548 = 19*v + 605. Let p(d) = 5*d**3 - 3*d**2 - 1. Let b(c) = 2*c**2 + 2*c**2 - 5*c**3 + 2*c**3 - 3*c**3. What is v*b(i) - 4*p(i)?\nAnswer: -2*i**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 7.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18793, 38344, 57897, 77452?\nAnswer: 97009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-1 + (3 - 2))) + 27 + -28?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35170 = 3763*p - 42224 - 286460 for p.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/(-146*51\/(-37230))*3\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from woooodxomw. What is prob of picking 2 w and 1 o?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 17*i. Let r(b) = 5*b. Let t(z) = 21*r(z) - 6*u(z). Let y(m) = -49*m. Calculate y(t(l)).\nAnswer: -147*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391230*s = 391257*s - 756 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032675 times -341?\nAnswer: 11.142175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 714966.8l to millilitres.\nAnswer: 714966800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1112 - -11445?\nAnswer: 10333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/14684 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, -5, -4 in ascending order.\nAnswer: -5, -4, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-16)\/((y*y**(-4))\/y))**(-2\/29) assuming y is positive.\nAnswer: y**(24\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h**(-5)\/h))\/h)\/((h\/((h*h**(-1\/6)*h)\/h))\/h)*h**(-1)*h**6*((h**2*h)**(-1\/55))**(-43) assuming h is positive.\nAnswer: h**(5009\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 171001135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -0.3 (c) -10 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -78315 * 0.1\nAnswer: -7831.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -5. Suppose 0 = -r - d*r. Suppose r = -4*n + n - 24. Is n <= -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001111 + 10001?\nAnswer: -1111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 734 + -749. Let i(t) = -4*t + t**2 - 13 + 8*t + 8*t. Is i(z) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/56)\/((-4)\/72*-9)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, y: 1, z: 9}. What is prob of sequence qzz?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -3 - 4) + 5 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36.11 - 0.89. Let a = d + 37.07. Is 5 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 102?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -2 + (-3 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2846160.\nAnswer: 2, 3, 5, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(926*i - 184*i**2 - 926*i + (3 + 0 - 1)*(3*i**2 + 0*i**2 - 4*i**2)).\nAnswer: 372*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6753377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1, 3, -3, 7 in increasing order.\nAnswer: -3, 1, 3, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*a + 11934 = -325*a - 28*a for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/12)\/(3\/27). Let n be (r\/(-4))\/((-18)\/48). Suppose -n*t + 7*t = 33. Solve 21 = v + 4*b, 4*v + t = 4*b - b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 - 57*f**2 + 5*f. Let w(v) = 2*v**2 - v. Calculate -d(z) - 5*w(z).\nAnswer: -2*z**3 + 47*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - t**2 + 6*t**2)*(-t - 9*t**3 + t) + 5*t**5 - 3*t**3 + 3*t**3 + (3*t**3 - 2*t**3 + 0*t**3)*(-3*t**2 - 3*t**2 + 5*t**2).\nAnswer: -32*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/64)\/(4 - 5\/2). Let t = 196.3 - 196. What is the nearest to 0 in t, 2\/13, g?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 509, 505, 499, 491, 481?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -22*n. Let z(g) = 70*g - 40*g - 14*g**2 - 30*g + 54*g**2. What is u(z(b))?\nAnswer: -880*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/2 - 1213685*x**2\/2 + 26700707*x\/2 - 146853223\/2.\nAnswer: (x - 1213663)*(x - 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824 is divided by 809?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.83 at most as big as -41\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 295, -99906\/19, 0 in ascending order.\nAnswer: -99906\/19, 0, 295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/((14\/(-1617))\/(4\/3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 6) + (6 - -1) + -10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 3:04 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.8 - 20.32. Let k = t + 6. Let q = k - 0.36. Round q to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134 - -178. Let p = q - -40. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -530434252?\nAnswer: -530434251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -25. What is the lowest common multiple of 3 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43196 or -101?\nAnswer: 43196","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2600?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 99.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 10:29 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + 9. Suppose 11 = u - 4*r, -5*u - 4*r + 168 - v = 0. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3a3 - -5?\nAnswer: 3a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3836 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61 and 1159.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**10*k**(-2\/11))**(-38))**(-48))**31 assuming k is positive.\nAnswer: k**(6106752\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 22*q**3 + 86194*q**2 + 16588895*q - 2371615. Let m(g) = 4*g**3 + 21548*g**2 + 4147224*g - 592904. Let w(a) = 15*m(a) - 4*v(a). Solve w(d) = 0.\nAnswer: -385, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -198, -213, -234?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2247, -2242, -2237?\n\"Answer: 5*m - 2252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167, -331, -493, -653, -811?\nAnswer: -967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 12*h**2 + 47*h - 28. Let v be s(8). Suppose 86*b = v*b - 16602. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -182*t**3 - t**2*z**2 - 5*t**2*z - 3*t*z**2 + 118*t*z - 6*z wrt t?\nAnswer: -1092*t - 2*z**2 - 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 7*c - 6*c. Suppose 2 = -4*z + 4*d - 2, 4*d = -z + 19. Sort z, -16, c in descending order.\nAnswer: z, c, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48887567 divided by 7\nAnswer: -48887567\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50160, 201020, 452582, 804846, 1257812, 1811480?\nAnswer: 2465850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + -6 - -1*296 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 10*p**2 - 2*p. Let k be u(-1). Suppose 3*n - 9 = o, 5*n = -2 + k. Let d be o\/21 - 2\/(-14). Solve 4*w + 5*q + 4 = 0, -3*w - 6*q + q - 3 = d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 501, -2699, -9617, -20253, -34607?\n\"Answer: -1859*f**2 + 2377*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3037968 by -6.\nAnswer: 506328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 25226, 25214, 25202, 25190, 25178?\n\"Answer: -12*h + 25238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255\/(-459)*(-12)\/10.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 216*b**2 - 238*b + 5352. Give s(215).\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -54, 4*t = -571*k + 578*k + 58 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5\/5 + 1568*j**4\/5 + 14214*j**3\/5 - 33128*j**2\/5 + 17347*j\/5 = 0.\nAnswer: -11, 0, 1, 1577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3808000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o + 4. Determine l(11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, e: 12, m: 3}. What is prob of sequence eey?\nAnswer: 11\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405381614.\nAnswer: 2, 11, 18426437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27982949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 14*d - 52. What is x(-4)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118198449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 616 and 1188.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 43*i**2 + 440*i - 47. Calculate n(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + -14 + (-7046)\/(-572) and -99\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35017 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*z + 67 + 131 + 16*z - 146)*(0 + 0 + 1).\nAnswer: -46*z + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*k - 2, 4*t + 6*k - 12 = 5*k. Suppose -2*d + 3*x = t*x - 26, -4*d + 50 = -x. Calculate the remainder when 59 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 8 - 27 = 0. Solve r*j = -h - 0 + 15, -4*j - 17 = -5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(1\/(-12)*-3). Let x = -2 + t. Let o be ((-5)\/(-4))\/(1\/4). Solve -5*v + 3*v + o*m = 14, -4 = -x*v - 4*m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1640, 1620, 1596, 1568, 1536, 1500?\nAnswer: 1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173469?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10100100000111 (base 2) to base 13\nAnswer: 4a1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 + 4924*g**3 - 4250*g**3 - 2 - 270*g**2 + 959*g**2 wrt g?\nAnswer: 4044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -19\/7, 37, 2, -7, -5, 8?\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (-18)\/19)*(-74)\/(-37). Let c = -1\/249 - -1003\/1743. Let g = 0.06 - -2.94. Sort g, r, c in ascending order.\nAnswer: r, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*f - 7*f - 45, 0 = -2*f - 2*a - 22. What is the tens digit of ((-72)\/f)\/((-11)\/((-165)\/2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w + 11*w - 4*w + 4*w + 0*w - 3*w + (3 - 2 + 0)*(3 - 2*w - 3).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b - 1498. Let h(s) = -106*s - 6. Calculate i(h(u)).\nAnswer: -848*u - 1546","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 404933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/19, 1\/4, -1, -242, 33?\nAnswer: -242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -509, -5.\nAnswer: -509, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*n**6*v + 19185*n**3*v**3 - 2*n**2*v**3 - n**2*v**2 + 122*n**2*v - n*v**2 - 162 wrt n?\nAnswer: -1920*n**3*v + 115110*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*j**5 + 107*j**3*l + 9*j**2*l - 8*j*l wrt j.\nAnswer: -420*j**2 + 642*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-9) + (-22)\/6. What is the second biggest value in -0.1, w, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 4*p**5\/5 + 9*p - 5. Differentiate r(b) with respect to b.\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 92, 94, 96, 98, 100, 102?\n\"Answer: 2*n + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + -10 - (-87 - -167 - 63)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4074987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5705.388 seconds in nanoseconds?\nAnswer: 5705388000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12815736?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2460 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -87, 3, -81 in decreasing order.\nAnswer: 19, 3, -81, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 433.8152 milligrams in tonnes?\nAnswer: 0.0000004338152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -0.971?\nAnswer: 0.4855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 452*s**3\/3 + 1489*s + 1032. Find the first derivative of f(d) wrt d.\nAnswer: 904*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491*p = -w + 493*p + 10, 2*p - 22 = -3*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 0*d**3 + 4*d**3)*(1 - 1 - d)*(0*d - 2*d + d).\nAnswer: 2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17087.948 + -1343092\nAnswer: -1360179.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/3)\/(13\/(-1248)). What is the greatest common factor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-52763)\/(-5554))\/(-2 + (-10)\/(-4)) + 0\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17318, -17228, -17126, -17012, -16886, -16748, -16598?\n\"Answer: 6*q**2 + 72*q - 17396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 28*i - 57. What is the remainder when 85 is divided by q(25)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 3)\/((-3)\/(-4)). Let y be 0 - 0 - -1 - 1. Suppose u*w - 6 - 10 = y. Solve -4 = n - 3*x - 0, 0 = -w*n - x + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 4. Determine i(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 0. Let a be (2 - q - 1)*-10. Suppose -6*o + a*o - 12 = 0. Solve -h - 2*f + 6 = 0, h + o*f - 5 - 6 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5*b**3 + 8*b**2 + 178*b - 1235. Calculate u(8).\nAnswer: -1859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2. Let q(u) = -u**2 - u + 2. Let w be q(0). Let y(d) = 40*d**2 + 19*d**w - 9*d**2. What is m(y(t))?\nAnswer: 2500*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(-l - 4 + 4) - 132*l + 103*l - 146*l.\nAnswer: -177*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 194766347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -50, -113, -202, -317, -458, -625?\nAnswer: -818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 1 - 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6085 + -3038. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 9259 and 9246 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6984101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 4*k**2 + 5*k - 6. Let o be i(4). Let h = -160 - o. What is the units digit of h\/(-6) + 8\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 750313231 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 25*c**2 + 10*c - 252. Let n be u(25). Let a be -3*((-8)\/(-3) - 2). What is the units digit of -14 + 17 - a\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 384 + -382. Suppose r*c = -1539 + 15605. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 18) + (-82 - -96) + -8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -413 times -0.0589?\nAnswer: 24.3257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/6 - 707*v\/6 + 585.\nAnswer: (v - 702)*(v - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 1. Let h = -16 + 34. Let j be 4\/(-6) + 3\/h. Which is the smallest value? (a) 5 (b) j (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 16 + 6 = 0. Let v = g - -21. Let c = -14 + v. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24707*y**3 + 2*y - 2*y + 24709*y**3 + 24720*y**3 - 74131*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 744\/54 + -14 + (-56)\/(-171).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.2 (b) 1\/11 (c) 5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 144980 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 1\/6*q**3 + 24*q - 1\/2*q**2 + 2 + 1\/12*q**4. Calculate z(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -x - 6*h - 1, 2*h + 10 = 2*x. Let q be x*3 - (8 + -5). Suppose 0 = -m + q*m + 2. Which is bigger: 2\/7 or m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -8, 3, -2\/9, -1.2 in decreasing order.\nAnswer: 3, 0.5, -2\/9, -1.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -179*d**2*h*r**3 - 230962*d**2*h*r**2 - 212*d*h*r**3 - 510*d*h*r - 3*h*r**3 wrt d?\nAnswer: -358*h*r**3 - 461924*h*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c**2 - 7*c**3 - 6*c**2 + 23*c**2.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23003309 a multiple of 2353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1482 + 16304\/11. Sort 1, c, -42 in descending order.\nAnswer: 1, c, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -12)*-2*(-5)\/(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -8. Suppose 4*h = y*h + 43. Calculate the remainder when h is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 17. Suppose 2*x = x + v. Suppose -15 - x = -6*n. What is the nearest to 0 in n, -1\/4, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469468 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -136 in descending order.\nAnswer: 2, -2, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 4:27 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**2 + 3195*y + 363340 = 0. Calculate y.\nAnswer: -491, -148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16384*t**2\/7 + 941824*t\/7 + 13535041\/7.\nAnswer: (128*t + 3679)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 q, and 1 n when three letters picked without replacement from ijnqfjjj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/5 + 178*m**2\/5 + 365*m - 2004\/5.\nAnswer: (m - 1)*(m + 12)*(m + 167)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from {m: 2, z: 1, q: 4, w: 3, h: 9}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a292aa (base 12) to base 8.\nAnswer: -11554142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 425172359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 601265?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23*465\/(-51336)*(-2)\/(-120)*9?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/n**(-5)*n))\/(n**(-3)*n))\/(n**(1\/2)*n*n**(-6)) assuming n is positive.\nAnswer: 1\/sqrt(n)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 1\/2*v**6 - 44 + 0*v**2 + 0*v - 3\/2*v**4 + 3\/5*v**5 + 0*v**3. Factor p(q).\nAnswer: 3*q**3*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -25*d**2 - 7. Let g(a) = 27*a**2 - a + 6. Let s(f) = 6*g(f) + 7*t(f). Let p(i) = -4*i**2 - 2*i - 4. What is -7*p(x) + 2*s(x)?\nAnswer: 2*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 1947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**2 - 1869624*b + 50478390 = 0.\nAnswer: 27, 934785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, 2117.\nAnswer: -8, 5, 2117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 0*x - x)*(-62*x + 21*x**2 + 62*x) - 5*x**3 + 4*x**3 + 2*x**3.\nAnswer: -62*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/45)\/((2\/(-8))\/((-240)\/(-160)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 11*q**4\/24 + 17*q**3\/6 - q**2\/2 + 8*q. Let l(x) be the first derivative of v(x). Is l(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7852675, 7852691, 7852715, 7852747?\nAnswer: 7852787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 14*x**2 - 54*x + 8. Let n be (21\/(-14))\/((-4)\/16). List the prime factors of r(n).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in 2.3, 3, 5\/2, 1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 113 + -85 + (-1 + -1 - 3).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 w when three letters picked without replacement from wwywoywz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6710377 or -1?\nAnswer: -6710377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.2 (c) 0 (d) -412\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 846*x + 2 + 668*x - 1740*x - 8 + 2*x**3 to w + g*x**3 + d*x**2 + q*x and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*o - 69*o - 255150 = -440*o. Calculate the greatest common divisor of 7938 and o.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 5 - 3 + (2 - 2 - 2)*(2 + 2 - 3) - 6 + 4 + 0 + 3 - 2 + 0 - 2 - 2 + 6)*(-3*b + 2*b + 2*b**2 - 2 + 2*b).\nAnswer: 20*b**2 + 10*b - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from {m: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-3)*(-34)\/(-51)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 111 - 111. What is the fourth smallest value in 4, -4\/3, v, -1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 280?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-9) - (-96)\/18. Find the third derivative of 4*k + 2*k**3 - 12*k**3 - 9*k**2 - i*k wrt k.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 4*r - 4. Let g be f(-4). Let m = g - -6. Suppose -o + m = o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 17*n**2 + 79*n - 722. Determine o(15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 330098485?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from zdzdzkyyzyykkkyym.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3\/3 - 17126*l**2 + 205496*l\/3 = 0. What is l?\nAnswer: 0, 4, 51374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 <= 3487\/878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 4 (b) 6\/31 (c) 3 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 divided by 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1501*i**4 - 172*i**3 - 28973*i**2 + 60*i wrt i.\nAnswer: -36024*i - 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6102 - -6105. Solve 0 = 5*j + 2*s + 9, 0 = 3*j + s + f + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36588406, 36588404, 36588402, 36588400?\nAnswer: 36588398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d + 2. Let p be l(4). Suppose -5*c = -3*c - 28. Let q = c + p. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 4\/5, -23 in decreasing order.\nAnswer: 4\/5, -23, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 127655025647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from yvjvjvvvvzvvjvjyv?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/139, -0.06, 0 in decreasing order.\nAnswer: 0, -6\/139, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 16. Let a = 2 + -2. Suppose 4*i - 12 - 8 = 0. Solve -i*x = -15, -d - 4*x + u = -a*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - s + 21 + 8 = 0, 3*l + s = -19. Calculate the remainder when l\/(-3) + (108 - 1) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010700 a multiple of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 - 9*w**2 - 3*w - 65. Let j(o) = 8*o**3 + 33*o**2 + 11*o + 257. Calculate 6*j(b) + 22*z(b).\nAnswer: 4*b**3 + 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 71785687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17704.93 millennia?\nAnswer: 17704930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437907248 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 271 + -2980\/11. Let x = 0.0352 + -1.0352. Which is the closest to 2\/3? (a) m (b) x (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12\/(-1 - 1)*((-3913)\/26 + -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103 - -106. What is the closest to 1 in -22, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 19*r + 4. Let z be f(-3). Let n = -27 - z. Is 22 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, w: 1, g: 2, p: 1}. Give prob of picking 1 w and 1 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12327389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 160862519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**13*q*q*q**10*q)\/(q**(-1\/20)\/(q**(-6\/11)\/q)) assuming q is positive.\nAnswer: q**(111\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3105907, -3105898, -3105889, -3105880, -3105871, -3105862?\n\"Answer: 9*g - 3105916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*k**2 + 14*k**2 - 37*k**6 - 9*k**6 + 39*k**2 wrt k.\nAnswer: -5520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*0.096.\nAnswer: -0.0192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 1\/2*p**2 + 1\/3*p**3 - 3*p - 23. What is o(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.92 - -3.12. Let f(i) = i - 1. Let v be f(3). Let n = 0.3 + -0.2. Which is the closest to n? (a) k (b) v (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -320830000 rounded to the nearest 1000000?\nAnswer: -321000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 418*d - 30. Determine s(1).\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44451429097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -18*x. Let a be o(-2). Let u = -4 - 19. Let b = a + u. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.66 * 0.0313.\nAnswer: -0.020658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**2 + 88575*x - 20054996 = 0?\nAnswer: 227, 88348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -17247 (base 15) to base 5\nAnswer: -4343032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6846771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in six fifths of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7312.475ug to tonnes.\nAnswer: 0.000000007312475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*d - 496 = 264*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8\/25 of a century?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, o: 5, f: 7, t: 3}. Give prob of picking 2 b and 2 o.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.8911*-30\nAnswer: -26.733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -37883500 to the nearest one million.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -21, -32, -47, -66?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.13 or -15?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, 2, 2\/323, 0.4, -1\/5, -19 in descending order.\nAnswer: 2, 0.4, 2\/323, -1\/5, -6\/7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -12*k - 30. Suppose -11*f = -k*f + 1260. List the prime factors of f.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37526?\nAnswer: 2, 29, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-26))\/(((-38)\/(-5928))\/((-5)\/20))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1789*c**2*h**3 + 2*c**2 + 3998 wrt h?\nAnswer: -5367*c**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 1.4448?\nAnswer: -11.5584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 10, 43, 110, 223, 394?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(77) + -4*(sqrt(77) + -1*sqrt(77)))\/(1*sqrt(1584) - sqrt(11)).\nAnswer: -3*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 3*r - 49. Let z be m(6). Put -2, z, -48 in decreasing order.\nAnswer: z, -2, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140 divided by 38.\nAnswer: 70\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.027 + -2.973. Let q = 13 - 51\/4. Sort -5, q, v.\nAnswer: -5, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, -7, 3, -93, -4, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-8)\/(-16) - 11\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 2:00 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -12*n - 39. Determine t(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 650 - 648 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/7 + 256*k\/7 - 8192\/7.\nAnswer: -2*(k - 64)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from ouuwolnownoe.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7527935.619 rounded to the nearest one hundred thousand?\nAnswer: -7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22467788.\nAnswer: 2, 7, 802421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(-1)\/12*1. Solve 0 + t*y + 1\/3*y**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 0*u**2 + u**2 + (-3 + 4 + 4)*(-13*u**2 + 13*u**2 + 11*u**2))*(-13*u**2 + 0*u**2 - 4*u**2).\nAnswer: -884*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -26. Suppose -4*l + 500 + 52 = 0. Suppose -5*g + 180 = 2*q + 3*q, g - l = -4*q. Calculate the remainder when q is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3 = 2*y + 11, -45 = 5*w - 3*y. What is the smallest common multiple of (-122)\/w - 1\/3 and (-93)\/(-217) + -2*(2 - (-53)\/(-14))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 89*x - 2507. Calculate f(29).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4434804\/35 or -126709?\nAnswer: -126709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*d - 2 = 0, 2*m + 4*d + 9 = -7. Let v be m\/(-8)*(9 - 1). Suppose 2*y = 4*u + 2, -5*y + 0*u + v*u = -5. Solve -a + 3 = -y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.0586?\nAnswer: 0.0586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*i - 322*l = -324*l + 1135, -5*i = -3*l + 26 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three thirds of a decade?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -88.752 to 1 dp.\nAnswer: -88.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 - (-5415)\/420) + (-2 - 0). Let b = -1\/245 + 1229\/980. What is the closest to 0.2 in 2\/15, b, y, -6\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - 62\/(-5))*(1 + 1 - 32)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2090.8 to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2279 and 688.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2595 - 205 = 0. Suppose 5*b - 4*b - s = 0. What is b rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -106858 and 0.1923121.\nAnswer: -106857.8076879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3110 rounded to the nearest one hundred?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213 = w - 44*d + 42*d - 242, -3*w - 45 = 5*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**2 - 6*p + 26. Let r(q) = q**2 - q. Let s(t) = 3*r(t) + w(t). Let x be s(-11). Solve 6*d - 3*d = -2*j + 15, 3*d + 3 = x*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4493883.41 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128 divided by 1392.\nAnswer: 8\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**2 - s**2 - 3*s**2 + 3*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 9:51 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.9 + -122.9. Let k = 105.999919 + i. Round k to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 208, 313, 418, 523?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 495 divided by -1\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 7 - (-24 - -22).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3582954 to 4 decimal places.\nAnswer: 0.3583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-2\/17))\/(u*(u\/u**2)\/u))\/(u**0*u)**(-31) assuming u is positive.\nAnswer: u**(576\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 3*i + c, -4*c = 4473*i - 4468*i - 54 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2785, 2768, 2735, 2686, 2621, 2540?\n\"Answer: -8*t**2 + 7*t + 2786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5054 + 4586*w + 5054 + 5564*w)*(-3*w + 2*w + 3*w).\nAnswer: 20300*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -237 + 124. Let g = b - -117. Solve 0 = -5*q + 2*k - g*k - 10, 0 = 2*q + 5*k - 17 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 202, 203?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/6)\/((-1)\/4). Let f(z) be the first derivative of z**2\/2 - 5*z + 1. What is the units digit of f(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, l: 4, w: 2, g: 1}. Give prob of picking 2 a and 2 w.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -304640 divided by 9520?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 90 = 5*v, -50*u + 88 = -45*u + 3*v for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 6.3.\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 924252, 924253, 924254, 924255, 924256, 924257?\n\"Answer: b + 924251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 15*v + 27. Let w be h(12). Let o = w - -9. Suppose -3*r = -0 - 6. Solve -s = -o*s - r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 9*i + 4. Let t be (i\/(-9))\/(56\/(-12) + 3). Which is the closest to t? (a) -1 (b) -2 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 38*d**2 + 25. Let l(q) = -2080*q**2. What is u(l(s))?\nAnswer: 164403200*s**4 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) 2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 9529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -0.02, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-48 + 6)\/6). What is the biggest value in x, 2\/75, 0.03, -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/22170 and 47\/780.\nAnswer: 576420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 + 19*q**2 + 343*q - 113. What is z(-10)?\nAnswer: -3643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1370 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 248 - 244. Suppose 3*o + 3*m - 39 = -24, m - 14 = -u*o. Solve -7 = 5*r - q, -o*r = -3*q + 5 + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 18\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 10, 3*x + 5*f + 945 = 7*x. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120 + -93. Calculate the remainder when 78 is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 12545438?\nAnswer: 3\/12545438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygggooyygyyyoy. What is prob of sequence gg?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 661 + -6691\/10. What is the common denominator of -5\/4 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - k = -29, -2*x + 20 = -2*k - 6. Calculate the remainder when 53 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 136 + 49. Let z = 43 + c. Calculate the least common multiple of z and 10\/10 - (-11)\/1.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23085\/35 - (24\/28)\/(-2). Let x be 444\/s - (-3)\/5. Solve 28\/11*h**3 + 4\/11 + 4\/11*h**4 - x*h - 14\/11*h**5 - 8\/11*h**2 = 0 for h.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -28\/9 (b) -4 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.26 + 7.06. What is the nearest to y in 4, 1\/3, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 9 = 2*w, -4*w + 11*s = 14*s - 21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 129729898 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16636956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.8 take away -5?\nAnswer: -23.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 6*p**2 + 74*p - 17. Let f be u(12). Solve 4*k - 6 = -2*q, -9*q + k - f = -4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 2. Let p be a(-1). Let n be (0 + -1)\/(p + 2). Let y(r) = -3*r + 1. Let m be y(n). Sort -0.5, m, 2\/11.\nAnswer: -0.5, 2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -694 + 4223 = 132*v - 1487 for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -445910, -891931, -1337956, -1783985, -2230018, -2676055?\n\"Answer: -2*r**2 - 446015*r + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 (base 7) in base 5?\nAnswer: -1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1100) + -1 + 3)*-3.\nAnswer: 30 + 150*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nindcmc. Give prob of sequence dcmc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*-1*-3)\/(sqrt(1200) - (sqrt(1200) + sqrt(1200) + sqrt(1200)*2)))**2.\nAnswer: 19\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2214904, -4429903, -6644902?\nAnswer: -8859901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -4 + 7 - -2) + 18. Find the third derivative of -9*v**2 + 18*v**4 + f*v**4 - 22*v**4 wrt v.\nAnswer: 432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**4\/4 - t**2 - t - 287. Let z(j) = j**3 - 2*j - 2. What is 3*g(p) - 2*z(p)?\nAnswer: p**3 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 328995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13092 divided by 452\nAnswer: 3273\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 2*a + 2. Let n(f) = 3*f**2 - 20*f - 20. Let q(w) = w**2 - 7*w - 7. Let o(g) = -4*n(g) + 11*q(g). Determine 3*m(r) - 2*o(r).\nAnswer: -3*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*m. Suppose -3*q + 42 = -m*q. Suppose -5*r + 4*r = 4*b - 6, -5*b + q = -2*r. Solve b*d = -4 - 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 - 56. Let q(j) = -j**3 + 9*j**2 - 11*j + 7. Calculate q(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-22)\/(-55))\/((-40)\/(-100))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*f - 15, 29 = -3*l - l + 5*f. Let x(u) = -4 - u**2 + 1051*u + 10 - 535*u - 519*u. What is x(l)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43356 - 43?\nAnswer: -43432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 50 + -1?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*u + 224 = 104*u. Suppose 0 = 5*r - 2*r + 3. Let n be (r - -3) + (-210396)\/u. Round n to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-55 + (-45141)\/(-820))*40. Solve 3\/4*k**3 - 3\/2*k**4 + 0 + 15\/4*k**u + 3\/2*k = 0.\nAnswer: -1, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6)\/(s*s*((s\/(s**(1\/13)\/s))\/s)\/s*s))\/(s**(-6)*s\/(s\/(s\/(s*s**(2\/9))*s))*s) assuming s is positive.\nAnswer: s**(-550\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -15 - 11. Let g(l) = 2*l**2 + 11*l + 11. Let q be g(-5). Let o(r) = 9*r - 17 + q + 0. Let n(w) = -4*w + 5. What is c*n(i) + 6*o(i)?\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 636952 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.11999995 + -0.12. Round f to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13821 is divided by 397.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 429139\/105 - 4087. Let h(b) be the third derivative of 1\/112*b**8 + 0*b**3 + f*b**7 + 0*b**4 + 0*b + 1\/30*b**5 + 0 - 6*b**2 + 7\/120*b**6. Factor h(l).\nAnswer: l**2*(l + 1)**2*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o**3)*o**(-3)\/o)**(3\/7)*(o*o**(-4)*o)\/(o*o*o\/o**(5\/3))*(o\/(o*o**(-3)))\/(o**(-4\/3)*o) assuming o is positive.\nAnswer: o**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72572304 by 1295934.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10653608 less than 103.6181?\nAnswer: 10653711.6181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/4)\/((-1188)\/(-704)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/6*(-603)\/(-201).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78556251?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 597227953?\nAnswer: 7, 1301, 65579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 + 22 - -12) + 3 + (-17 - 0).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/4)\/((-7)\/42). Put i, -13, -5 in decreasing order.\nAnswer: i, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3725 (base 10) in base 6?\nAnswer: -25125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/135*3*(-51)\/(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2556, -2507, -2432, -2331, -2204, -2051?\nAnswer: -1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 22. Let d = 70 + -65. Suppose -2*l + 1 = -l. Solve -d*x - u*z - l = 0, 0*z = 3*x + 4*z + 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 77*r**2 - 2*r - 1. Let x be b(-1). Suppose -2*p = 5*v - 5*p - 114, 3*v = 5*p + x. Suppose -v + 296 = 5*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 106 - 79. Let p = 379\/2 + b. Find the common denominator of (-42)\/40*-2 - 0 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 95361197\nAnswer: -47680598.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/4 in -1\/29, -0.3, -631?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*d - 77 + 72, 0 = -5*d + 7*f + 63. Let a(v) = 7 + 0*v + v - 3*v. Determine a(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -137\/640, -193.\nAnswer: -193, -3, -137\/640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**2 + 287. Let y(o) = 2*o + 1. Calculate k(y(s)).\nAnswer: 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (9 + 14 + -8) - 11.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -10*b + 1158. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99586, 199168, 298750, 398332, 497914?\nAnswer: 597496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -793065 bigger than -793065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 7*a**5\/20 + a**3 + 23*a**2\/2 + 46*a. Let p(x) be the first derivative of f(x). What is the first derivative of p(v) wrt v?\nAnswer: 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66812 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30, 61, 92, 123?\n\"Answer: 31*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2938 and 2782.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -445, 0.2, -5, 1, 1\/2 in ascending order.\nAnswer: -445, -5, 0.2, 1\/2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q\/(q\/q**(-48)))*q**(-18\/5) assuming q is positive.\nAnswer: q**(222\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((73 - -12) + -83)\/((-989)\/(-1587) - 2\/3)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 170 - 170.2. Let q = 11\/14 + -27\/70. Sort f, q, 2 in descending order.\nAnswer: 2, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + x - 1. Let p(j) = 1. Suppose 49 = -74*t - 25. What is t*g(l) + p(l)?\nAnswer: l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/1120 and -145\/6?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6234 - 6234. Put -218, m, 9 in ascending order.\nAnswer: -218, m, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -l + 17, 0 = -3*n - n + 4. Suppose 7*r - l - 3 = 0. Suppose r*s - 113 = 70. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 6:01 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5 - 3*s - 11*s + 2*s. Suppose 4*n + 20 = -4*x, 3*x - x + 5*n + 7 = 0. Is i(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 15*g**2. Let v(t) = -271537*t**2. Give f(v(c)).\nAnswer: 1105985135535*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9, 11, 23, 51, 101, 179, 291, 443?\n\"Answer: b**3 - b**2 - 2*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 3*y**3 - 31)*(-3*y**2 + y**2 - 3*y**2).\nAnswer: -15*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72 - (-27720)\/400)*5\/(-6)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnjmyjymjnjyam. Give prob of picking 1 n and 1 y.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**4\/12 + 2*b**3\/3 - b**2 + 2*b. Let k be w(3). Let u(l) = 7*l + 17. Let n be u(-3). Sort 0, n, k in ascending order.\nAnswer: n, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -234?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5689, 5, -5 in decreasing order.\nAnswer: 5, -5, -5689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 2:07 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 1, 5, -2, 24 in increasing order.\nAnswer: -28, -2, 1, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2. Let o(h) = -2233*h**2. Give o(u(z)).\nAnswer: -2233*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 3:00 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 289444572?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85577726?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -341.5598966 to 1 decimal place.\nAnswer: -341.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t - 61 = -3*d, -5*t = 10. Let r be (21 - d) + (-3)\/(-1). Solve r*k - 8 = 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 - -0.37\nAnswer: -25.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 * 0.204.\nAnswer: 0.2244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 1750?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 70 - 20. Let p be ((-18)\/4)\/(g\/20). Which is smaller: p or -7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7481644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 10*p**2 - 9*p - 5. Let r be (5 - (-54)\/(-12))*(9 - 1). Suppose r*z = -5*j + 35, 8*z - 4*z = -2*j + 2. Give s(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/24)\/20*-106 - (-6)\/30\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.95 - -0.6. Let m = 0.07 - 0.12. Let x = m - l. Which is smaller: x or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8260 and -7226.\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8064)*2)\/(-6*3*sqrt(8) + sqrt(8)).\nAnswer: -24*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 619*v**2 - 385*v - 532199. What is s(621)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggljggj. What is prob of sequence jj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d - 7. Let s be u(7). Let c = 14 + s. Let z(i) = i**2 + i + 19. What is the units digit of z(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 725*s**5 - 902*s**4 - 3*s**3 + 11505*s**2 - 988*s.\nAnswer: 43500*s**2 - 21648*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.4. Suppose 5*w + 5*m + 9 = -41, 5*m + 40 = -3*w. What is the nearest to 2 in w, 0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -1. Let q(l) = 2*l - 7. Suppose -10*c + 8*c = -76. Let g = -40 + c. Let n be (20\/(-15))\/(g\/9). Determine n*p(s) - q(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 313 + -318. Which is the nearest to 2? (a) 4\/5 (b) 2 (c) r (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9642 - -212043\/22. Calculate the common denominator of f and -139\/270.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8819238, 8819239, 8819240, 8819241, 8819242, 8819243?\nAnswer: 8819244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h - 10. Let q be k(-6). Let p = q + -95. Let j = p - -156. What is the greatest common divisor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + y + 7. Determine z(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 1. Let x(d) be the first derivative of d**3 - 6*d + 2. Give 4*r(b) + x(b).\nAnswer: -b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1053 and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b*h**4 + 74*b*h**2 + 4*b - 2*h + 5 wrt h?\nAnswer: 48*b*h**2 + 148*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285 (base 12) to base 5.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167711012.\nAnswer: 2, 7, 2393, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 - 94464*h**2 + 46642*h**2 + 46997*h**2 + 32*h**3 wrt h?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54468836*c**4*o - 5447*c**2*o - 105*c**2 + 4*c wrt c?\nAnswer: 1307252064*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z. Let w(o) = 337 + 7*o - 337. What is k(w(q))?\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-175)\/280*(-51)\/15\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - b + 78. What is u(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 94105 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(162) - 5*sqrt(6)\/sqrt(3)) + (sqrt(2662) + (sqrt(2662) - -2*sqrt(2662)) + sqrt(2662))\/(sqrt(33)\/(sqrt(3) - sqrt(27))))**2*6.\nAnswer: 49152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4 = a - 5*a, 1 = 3*k + a. Suppose 2*c + 3*c + 340 = k. Let q = -47 - c. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**7\/21 + u**6\/3 - 9*u**5\/10 + 7*u**4\/6 - 2*u**3\/3 - 2*u. Factor l(j).\nAnswer: -2*j*(j - 2)*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*j - 128 + 128)*(6 - 6 + 12 - 2*j**2).\nAnswer: 108*j**3 - 648*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2609\/194573 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072511 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2140795.\nAnswer: 5, 61, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36326?\nAnswer: 2, 41, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9460*u*y**6 + 66*u*y**2 + 5*u wrt y.\nAnswer: 1135200*u*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40620 - 7*t + 40620)*(-2 - 2 + 24) as k + d*t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4153331*t**3 - 3964514*t**2 wrt t.\nAnswer: 24919986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 + 90*w**3 - 365*w**2 + 540*w - 260.\nAnswer: -5*(w - 13)*(w - 2)**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 156*a**3*n**2 - 2*a**3*n - a - 89*n wrt n?\nAnswer: 312*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + 4*g + 4. Let z be i(6). What is the common denominator of -21\/8 and 2 + (1 - (-240)\/z) + 3?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6417, 25662, 57737, 102642, 160377, 230942?\nAnswer: 314337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*s + 33*s**2 - 10*s**2 - 104*s.\nAnswer: 23*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 2. Let b = g + 9. What is the nearest to -0.1 in b, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.09 (b) -0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418491?\nAnswer: 3, 46499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 5*c - 5*b - 120, -4*b = c + 1. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386*k + 117 + 117 - 234 + 323*k.\nAnswer: -63*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 6*s + 15 = 22*s - 15*s, -5*h + 76*s - 405 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9180 and 1836?\nAnswer: 9180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -2*c + 3, -92*c + 5*q = -91*c - 24 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137838411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 5*c - 97 = 0, j - 6*j + 15639 = -c + 15650 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 2101?\nAnswer: -2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -81*t + 33211. Calculate f(410).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r + 45. Let m be d(16). Let p(s) = s**2 + 11*s + 48. What is the hundreds digit of p(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 343 + -342. Let w = 193 + -133. Let i = w + -43. What is the third biggest value in i, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - w + 120. Let j = -12 + 12. Let o be k(j). Calculate the greatest common divisor of 30 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -3021313231021?\nAnswer: 3021313231022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-3)\/2))\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*((f**(5\/7)\/f)\/f)\/f*f)**(3\/8)*f**6\/f*f**(-29) assuming f is positive.\nAnswer: f**(-675\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 834*r = 760*r. Solve -1 = h + 3*j + 5, 5*h - 2*j - 4 = r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 256.1775727 to 1 decimal place.\nAnswer: 256.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 30. Let t(i) = -i**w + 8 - 2*i**2 - 6*i**2 - 3. Is t(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(-1\/10)*b)*b)\/(b\/(b\/b**(2\/45))*b*b))**(-10\/9))**(-41) assuming b is positive.\nAnswer: b**(-3485\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 > -121414.52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -3. What is the common denominator of -51\/20 and (155\/(-14) - c) + 2?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0 = -3*b - 15, 3*j = -3*b - 3. Suppose 12 = 5*u - j. Solve u*i + 2 = -5*m - 2, 3*m = i - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f. Let j(r) = -1. Let t(a) = -28*a + 14 + 11*a + 14*a + 6*a. Let l be t(-4). Calculate l*v(c) - j(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 47. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 880067072 a multiple of 1341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 12920?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2341\/2? (a) 3 (b) -3 (c) 4 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5875*z. Let d be h(-12). Suppose 27*u - d = 22*u. What is u rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 1367*z**5\/10 + 591*z**2\/2 + z + 2. Differentiate f(a) wrt a.\nAnswer: 8202*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22994, -46000, -69006?\n\"Answer: -23006*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/2*(-42)\/189?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -80*p - 127?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 3*o - 1. Let b(x) = x + 11. Let w be b(0). Let r = w - 4. Calculate the smallest common multiple of p(-5) and r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29 - -228?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/15)\/(s**1*s))\/((s*(s*s**14*s)\/s)\/s**(1\/7)) assuming s is positive.\nAnswer: s**(-1868\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 369600 divided by 40?\nAnswer: 9240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 4. Let l be r(-3). Let a be (-25)\/(-6) - l\/6. Suppose 0 = 2*y - q - 29 + a, 5*y - 76 = -2*q. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 268\/9 + (-6)\/(-27). Suppose -34*p + 1164 = -n*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*j - 43 = -178 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -65*b + 162*b - 485. Solve b*c + 37 = 3*t - 0, 4*c = -2*t - 12 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 0*f**2 + 1\/3*f**3 + 2 + 0*f. Let w(r) = -1105*r**2 - 1110*r**2 + 3*r + 2190*r**2. What is w(o(y))?\nAnswer: -25*y**4 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 10. Let v be q(5). Suppose 0 = v*u - 8*u + 3*l - 3, 2*l = -5*u + 16. Is u bigger than 4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c*s**3 - 2*c*s**2 + 3*c + 2*s**3 + 22 wrt s.\nAnswer: -6*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10541963 and -0.4.\nAnswer: 10541962.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, m: 1, r: 1, v: 2, c: 3, t: 3}. Give prob of sequence mt.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(204) - sqrt(204) - sqrt(204)) + (-3*sqrt(459))\/sqrt(9))\/((1*sqrt(96))\/(sqrt(2) - -2*sqrt(200) - sqrt(2) - sqrt(2))) + -1.\nAnswer: -57*sqrt(17)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n*((n**5\/n*n)\/n*n)\/n*n)\/n)\/n*n*n)\/((n*n**3)\/n))\/(n**(4\/7)\/(n\/(n\/n**1))))**(2\/19) assuming n is positive.\nAnswer: n**(48\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 11*p - 3. Suppose 0 = 3*b - 7*b - 48. Is 9 a factor of s(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*c + 45, -c - 18 = 3*q - 71. Let h(x) = 478*x + 83. Is h(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 15. Is (-408*2)\/(-4) - w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1385 and 505.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3587 and 48.71869.\nAnswer: 3635.71869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4*f + 60 = 130, -4*d + 4*f = 68 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -2579edc?\nAnswer: 2579eda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 22*p**2 + 19*p + 38. Let v be u(21). Which is the nearest to 0.2? (a) 2 (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.9936 to 2 dps.\nAnswer: -3.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6418640 and 2406990.\nAnswer: 19255920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/105)\/(5\/30*-3). Sort -1, l, -0.03, 0.\nAnswer: -1, l, -0.03, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-5) + (-21)\/(-15). Let v be u - (1 - (4 + -2)). Find the second derivative of o - 5*o**4 + o + v*o**4 wrt o.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-6)*-66*(-1)\/3. Suppose 39 = a*n - 5. Sort -4, -1, n in descending order.\nAnswer: n, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + -0.8. Let b(n) be the first derivative of n**4\/4 + 4*n**3\/3 + n**2\/2 - 1. Let k be b(-4). Put k, 1\/4, j in increasing order.\nAnswer: k, j, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4*(-3)\/(-21))\/((-3)\/3))\/((-136)\/(-17612)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 5, n: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5545 divided by 1109\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -33*u - 197. Let v be d(-6). Suppose q = -3*q + 12. Suppose -3*n = -4*s + 6, 4*n - 13 = -q*s + 4. Sort -2, s, v in descending order.\nAnswer: s, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 511124\nAnswer: -1\/127781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35476\/3 + -11818. Factor 1\/3*t**2 + 121\/3 - l*t.\nAnswer: (t - 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 3*b**2 + 0 + 0*b + 1\/3*b**3 - 1\/8*b**4. Find the first derivative of n(k) wrt k.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45529789369.418017 + 45529825853. Let p = -36762.58198457 + d. Let h = p - -279. What is h rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**3\/6 + 5*x**2\/2 - 22*x. Let l be u(-7). What are the prime factors of (2\/l)\/(((-5)\/141)\/5)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10319248 and 32.\nAnswer: 20638496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 greater than or equal to 52\/6299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3712 and 928?\nAnswer: 3712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-84)\/8)*-18?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 927149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2409 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 8*i**2 - i - 4. Let t be d(-8). Solve 3*x + 27 = -3*g, -g - 32 = t*x + 2*g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 58741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 - (-2 - 1)\/(-5 - -4). Let n(o) = 16*o**2 + 3*o - 6. Is n(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 138*o - 17524. Determine s(125).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*v = -88, m - 5*m = -3*v - 87. Let l be 3\/2 + m\/2. Let s(y) = -l*y**2 - 3*y**2 + 1 + 4*y**2. What is s(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 115, 303, 673, 1285, 2199, 3475?\nAnswer: 5173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46478860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*b + 894, 2*b + a + 1089 - 203 = 0. Which is smaller: b or -439?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oom when three letters picked without replacement from {m: 2, o: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833)*1 + 3*(-4*sqrt(17) - sqrt(17)).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 4*a + 4, -4*d - 29*a + 30*a - 14 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m + 19*m**2 + 15*m - 50*m**2 + m - 34*m**2 to the form w*m**2 + s*m + g and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from jtjhbba?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of (-2)\/(-65)*5 - (-4501312)\/104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 557\/10620 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 - 38.3. Let d = b + -2. Let o be (1\/2)\/((-88)\/32). What is the smallest value in d, -2\/3, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1628844768 to the nearest integer?\nAnswer: 40359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from {y: 14, n: 5}.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11714892?\nAnswer: 2, 3, 7, 89, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18, -37, -68, -117, -190?\n\"Answer: -l**3 - 12*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*t + 543, -3*t = -b - 3*b - 2139. Let k = b + 5231. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = s + 7, -4*s = -d - 18 + 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-22)*-24 - 12\/(-2).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70 + -24. Let i = s + 99. Suppose a + 6 - 2 = -m, 3*a + 20 = i*m. Which is smaller: m or -2\/165?\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/132)\/((-105)\/(-28)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24675333.\nAnswer: 3, 1993, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11567397?\nAnswer: 3, 3855799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 4*l + l)*(-4*l - 2*l + 4*l) - 2*l**2 + 4*l**2 - l**2 + (-4*l + 0*l + 5*l)*(21*l - 24*l + 32*l) + (4 - l - 4)*(0*l - 6*l + 4*l).\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.1 less than -0.5?\nAnswer: -58.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 2. Let i(t) = -2. Suppose 51*p - 47*p = -8. Give p*i(l) - 3*g(l).\nAnswer: -3*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 + f**2 + 6 - 8*f**2 + 16*f**2 - 7*f**3. Let j = 18 - 25. Let r(x) = 8*x**3 - 7*x**2 - 7. Give j*h(n) - 6*r(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0118114913 rounded to 4 decimal places?\nAnswer: 0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(9072)*-5)**2.\nAnswer: 3628800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-19.5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7085*d*n + 3*d*x + n*x - n + 222812 wrt d?\nAnswer: -7085*n + 3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -32, -27, -18, -5, 12, 33?\n\"Answer: 2*k**2 - k - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 - 22630*g\/3 + 726208\/3.\nAnswer: -2*(g - 32)*(g + 11347)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*h - 7*h = 9*h - 23430. Are h and -190 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000831577148 to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2613415?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.2 (b) 3\/11 (c) 4 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -583.\nAnswer: -582.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021302002 (base 4) in base 12?\nAnswer: -126a82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.8 + -0.2. Let c = -1.8 + 3. Let b = c + -1. What is the nearest to -1 in 1\/7, b, t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - bbc93?\nAnswer: -bbc86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from gttttgt.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2345, -4064, -5145, -5588, -5393?\nAnswer: -4560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 0 + 3 - 3 + 0 + 6*l + 1. Let v(j) = -11*j - 2. Let g(h) = -5*t(h) - 3*v(h). Let m(d) = -13*d - 4. Determine -18*g(a) - 4*m(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 16*d**5\/11 - 1480*d**4\/11 + 932*d**3 - 4390*d**2\/11 - 2564*d\/11 + 1190\/11 = 0.\nAnswer: -1\/2, 1\/2, 7, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*i**2*k*v - 22*i**2 + 26*i*k**2*v + 2*i*k**2 - 4*k wrt v.\nAnswer: -3*i**2*k + 26*i*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/(o**6\/o*o))))\/o**(-3)*o**(-2\/3)*o*o**(1\/4))**42 assuming o is positive.\nAnswer: o**(-119\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19c - 2966a0?\nAnswer: -296501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 11010518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.16476 less than -138.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*m = -98 - 13672. Solve 7*i + 211 - m = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 358706 and 1634.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -228 + 585. Is 51 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*h + 7*t = 26*h + 69, 5*t - 3*t = 4*h - 0*t + 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 10. Calculate the remainder when 73 is divided by x(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**1*u)*u*u**(2\/21)*u)**28 assuming u is positive.\nAnswer: u**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41 and -9.03?\nAnswer: 370.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 89618276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1339*b + 30645 = -204*b for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66335785 a multiple of 1560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/21 (b) 0.017 (c) 40\/13 (d) -7 (e) -1 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, t: 7}. Give prob of picking 2 t.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100*j + 14*j - 222*j)*(2*j + 2*j - 2*j + 3*j - 2*j - 2*j + j - j + j + (0 - 3 + 5)*(-2*j + 0 + 0)).\nAnswer: 216*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -149\/2? (a) -0.3 (b) -88 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -1\/436576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/72*(-363)\/22*4*-1\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-15)\/9)\/(1 - (-80)\/(-78)).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 18*b**3 + 3*b**2 - 10*b + 458. Let q(t) = 16*t**3 + 4*t**2 - 11*t + 460. Let w(c) = 3*q(c) - 4*s(c). Differentiate w(x) with respect to x.\nAnswer: -72*x**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1936352 divided by -484088?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2\/13 (c) 259 (d) 35\/17 (e) -2\/7 (f) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2. Let v(t) = -119*t - 119*t + 351*t + 1. What is h(v(q))?\nAnswer: 25538*q**2 + 452*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -0.11.\nAnswer: -1.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 11:31 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 - 48.8. Let n = 0.15 + -1.55. Let x = n + z. What is the biggest value in -5\/2, x, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 424 - 3?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18122 and 531934.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 5*m - 29, -2*m + 34 = 4*u - 0*m. Suppose 15*q - 14*q - u = 0. Let i = -1.2 - -0.2. Which is bigger: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -8. Let u = 112 - 107. Calculate the lowest common multiple of n and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 4*f**5\/5 + 14*f**4 - 15*f**2\/2 + 9164*f - 5426. What is the derivative of t(j) wrt j?\nAnswer: 16*j**3 + 168*j**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 4)*(580*r + 315*r + 129*r) - 1 + 2*r - 4*r + 0*r.\nAnswer: 2046*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8815 by 1763.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233423, -233528, -233633, -233738, -233843, -233948?\nAnswer: -234053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 5*s + 7. Let o be f(-6). Is 12 a factor of 3*((1 - o) + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 0*f + 3*f)*(-2*f + 5*f - 4*f + (0 - 4 + 3)*(-5*f - f + f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2275.1 + 2275.0852471. Let n = -0.0148 - y. What is n rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 9*p**2 - 2*p - 12. Let o be y(-9). Let k(x) = -5*x + 3*x + o - x + 1. Let b be (-10)\/4*24\/(-10). Determine k(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(204) - sqrt(204)))\/(5*sqrt(12)*2).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10*g. Let r(a) = -3*a + 12. Calculate r(q(l)).\nAnswer: -30*l + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/((1\/7)\/((-14)\/1372*-28))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1273763 times -8\nAnswer: 10190104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17\/18 - -14\/9. Suppose 36*m - 10 = 98. Which is smaller: m or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -172 + 175. What is the closest to u in -2\/3, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 k when four letters picked without replacement from {g: 1, e: 4, k: 1, d: 1, m: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1297*h + 2 - 2224*h + 897*h.\nAnswer: -30*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2 + (-2 - 1 + 1)*(1 - 3 + 0) - 2 + 2 + 1)*(2*g - g + 0*g) to the form k*g + x and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 637 + 242*g - 265 - 2*g**2 - 16 - 112 = 0.\nAnswer: -1, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -466 + 995\/2. Let j = -80\/97 - 4933\/2134. Calculate the common denominator of u and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -200.\nAnswer: -11\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-one halves of a decade?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 704?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1610266, 1610294, 1610322, 1610350?\n\"Answer: 28*c + 1610238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77452 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55871191*d**2 - 117356075*d.\nAnswer: -111742382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**2 - 2. Suppose 0 = -x - 4*f - 15, 5*x - 4*x - 2*f + 3 = 0. Let b(y) = -6*y**2 + 3. Determine x*r(s) - 5*b(s).\nAnswer: 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60 or 104064\/1775?\nAnswer: 104064\/1775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6714 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 10\/3 (c) -0.2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) - sqrt(24))\/sqrt(8) - 3*sqrt(3)*2 - 2*(sqrt(3)*-2 + sqrt(3))*2.\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1404219*c**3 - 1929352 wrt c?\nAnswer: -4212657*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrr when three letters picked without replacement from {v: 3, r: 15}?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 10, -550 = -5*w - 2*t - 3*t. Suppose -10*g = -5*g + 140. What is the remainder when w is divided by 87*(g\/12)\/(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2814 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20429, -40850, -61273, -81698, -102125, -122554?\n\"Answer: -l**2 - 20418*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - 139. Let m = p - -155. Which is the nearest to 2? (a) 0.1 (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-140)\/21)\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68360\/7 - -9705. Put 0.4, -3, m, 0 in descending order.\nAnswer: 0.4, 0, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 11*s + 20. Let y be b(7). Let g(i) = -i**2 - 9*i + 8. Let q be g(y). Solve 7*v - q = -51 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/9552 - -2113\/4976592. Let g = -99772\/1563 + d. Let m = g - -64. Put -2\/17, m, -0.4 in descending order.\nAnswer: m, -2\/17, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.4 * 12.057.\nAnswer: -77.1648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, 0.5, -19, 5\/2, 3.2315?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2 - 53 = 0. Let z be (k + -15)*26\/8. Let d = z + 63. What is the highest common factor of d and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*g + 235*g + 21 - 23 = -2*d, 2*d - 2*g = 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/6*(-1620)\/2754?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-45)\/180 + (-5)\/(-12). Sort -13, -5, s, 4 in decreasing order.\nAnswer: 4, s, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51e2b (base 15) in base 13?\nAnswer: -91283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -79*y**2 - 26*y + 6152. Calculate c(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 10\/1191, -296\/3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 286369\/33471 - 2\/11157. Let l = p - 25\/3. Suppose 3*m = -m. Which is smaller: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1450)\/32625 - (-2974)\/90. Let p(a) = -a**3 + 9*a**2 - 7*a + 1. Let v be p(5). Calculate the highest common divisor of i and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 6. Let a be p(6). Let r(x) = 15*x + 3*x + a*x. What is the tens digit of r(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 240183?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 - 12434.958992?\nAnswer: -12173.958992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1.7. Let v = -0.081 + 7.181. Let j = -7 + v. Which is the second smallest value? (a) 1\/5 (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 221189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(1\/2)*u**(-10\/3))\/(u**(-1)*u**(-2)))**(-30\/11) assuming u is positive.\nAnswer: u**(-5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 r when four letters picked without replacement from {a: 2, n: 2, r: 2, z: 6}.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 183260230*q**4 + q**3 - 409324280*q.\nAnswer: 2199122760*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15\/2 (b) -4\/3 (c) -4 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 12*s + 4. Let k be h(-12). Let o(n) = n - 3. Let d be o(5). Suppose i - k = d*p, i - 7 = -0*i - p. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1647 + 5?\nAnswer: -1642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-14) - 22\/(-77). Let d(v) be the third derivative of 3*v**2 + 1\/18*v**3 + 1\/24*v**4 + i*v - 1\/45*v**5 + 0. Suppose d(f) = 0. Calculate f.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2945502, -2945493, -2945484, -2945475, -2945466, -2945457?\nAnswer: -2945448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 8b97?\nAnswer: 8b9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112113423 to the nearest integer?\nAnswer: 10588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -240251, 4, 18, 3, 5 in decreasing order.\nAnswer: 18, 5, 4, 3, -240251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 60517548 a multiple of 609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*m - 15 - 5, -2*a = -2*m + 6. Differentiate -2*g - g**3 - m - 10*g - 9 + 39*g with respect to g.\nAnswer: -3*g**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 2:13 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*k + 76 = 0, -54 = -0*x - 3*x - 3*k. Let s = x + -17. Solve s*f - f - 12 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.12850845 and 1.\nAnswer: 0.12850845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 1969*q**2 + 145*q + 381. Does 42 divide t(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 0 + 0)*(-3*c**4 + 5*c**4 - c**4) - 2*c - c**5 + 2*c + 73*c**5 + 35*c**5 + 21*c**5 + 46*c**4 - 26*c**5 + 41*c**4 - 88*c**4.\nAnswer: 100*c**5 - c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 5*t**2 + 5*t + 1. Let d be b(-6). What is the greatest common factor of 14 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o + 7*o - 13*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (38\/(-6) - -3)*(-1188)\/24. What is the greatest common divisor of z and 1760?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w - 4. Let o(u) = -u + 5. Let d(v) = 4*o(v) + 5*r(v). Let f(x) = -x**2 - 3*x + 30. Let t be f(4). Let q be d(t). Solve -a = -q*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*q + 116*q - 2536 = -71*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*p + 159*p + 167*p = -154*p + 28466 for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*q + q = -140 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 4. Let a be ((-9)\/l)\/3 + -1. Solve a*v - 5 = -d + 6, -d = 5*v - 23 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**2\/5 - 5864*h - 8934156\/5 = 0.\nAnswer: -293, 7623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s + 32 = 0. Suppose s = 5*u - 7. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/6 - 151\/3. Let u = h + 66. Calculate the remainder when (9\/(-4))\/(6\/(-64)) + 1 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + 161\/(-7) + (-232)\/(-228).\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3705626*u**3 - u**2 + 3*u - 277473.\nAnswer: 22233756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.1, -1, -702, -4 in descending order.\nAnswer: 3.1, -1, -4, -702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6898 less than -2?\nAnswer: 6896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 8216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 51313995 to the power of 1\/4, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -8, 23, 267?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/24)\/(4\/(-32))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 - x**2 - 3*x - 1. Let v be i(-1). What is the lowest common multiple of 11 and (8\/12)\/(1\/v)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfnffntnnfjnnwtwfnn. Give prob of picking 2 w.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -324a06?\nAnswer: -324a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20055 rounded to three decimal places?\nAnswer: -0.201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 59830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.099 (b) 60 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 9*v**2 - 7*v - 36. Let p be h(-9). Suppose -10*g - p = 13. Let a be 6\/g - 51\/(-42). Which is bigger: -21\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 482*n**2 + 68 + 480*n**2 in the form g*n + v + o*n**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-9\/7)\/((((s**7\/s)\/s)\/s)\/s)*(s\/s**(-9\/8))**(2\/69) assuming s is positive.\nAnswer: s**(-8161\/1932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1300\/160 + 15\/40)*(-1 + 3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*(l**(-39)\/l*l)\/l)))\/l**9*l**7*l*l\/(((l\/l**(-1\/9))\/l)\/l) assuming l is positive.\nAnswer: l**(-343\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 5*p**2 - 1. Let o be n(5). Let a be 2\/(o\/(-1) + 1). Let l = 23 - 28. Put l, 0, a in descending order.\nAnswer: a, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4288\/3 + -21442\/15. Which is the third smallest value? (a) -1\/3 (b) w (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 133972*b**3 + 8 + 133902*b**3.\nAnswer: -70*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -131\/129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 486 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 3*u**5\/140 - 9*u**4\/4 + 105*u**3\/2 + 3675*u**2\/2 - 2*u - 142. Factor y(c).\nAnswer: 3*(c - 35)**2*(c + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r**2 + r + 3. Let g(u) = 6*u**2 - u - 4. Let c(h) = -3*g(h) - 4*w(h). Let i be c(-1). Sort -4, i, 4 in ascending order.\nAnswer: -4, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -2*(-3)\/(-2))*875\/7000. Which is the nearest to 2\/9? (a) 33 (b) 1 (c) 0.5 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 - 52. Solve 5*a + 6 = k*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07161 - 0.1.\nAnswer: -0.02839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -4\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-28))\/((-97)\/(-176928)*-95).\nAnswer: -48\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.013 * -0.5\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 + 97*a + 833. Calculate v(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 2a?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55395689 to the nearest integer?\nAnswer: 7443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 14 = -5. Which is the closest to 2? (a) 8 (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.4955 to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 4:14 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - 17752?\nAnswer: -17761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqf when three letters picked without replacement from {u: 1, g: 1, p: 1, q: 2, f: 1, r: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*i = 3, 3*i + 510 = 3*w. What is the remainder when w is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3)*4 + 3 - (0 + -3 + sqrt(3)))**2 - 5*(sqrt(12) + (sqrt(108))**2 + 1)) + 2.\nAnswer: -480 + 26*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 230. Let u be z(0). Suppose 5*d = -45 + u. Let l = d - 24. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n. Let r(j) = 10*j**2 + 40*j. Suppose -3*o = 5*g - 60, -4*o + 28 = 4*g - 52. Let f(l) = 2*l. Let b(c) = o*f(c) - r(c). Give t(b(u)).\nAnswer: 70*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 7*w**2 - 2*w - 9. Let l be j(-7). Let t be 35\/6 - (-2 + l). Let n = 107\/42 - t. Which is the smallest value? (a) n (b) -0.5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58695*a**5 - 10*a**4 - 21*a**3 + 130584234*a**2?\nAnswer: 3521700*a**2 - 240*a - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7 + 52 + 24 - c. Let p(x) = -x**2 + 8*x + 8. Let i(a) = a**2 - 6*a - 6. Let w(b) = -4*i(b) - 3*p(b). Give w(d(n)).\nAnswer: -n**2 + 166*n - 6889","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - i + i)*(-1 + 1 - 4)*(0*i**2 + 0*i**2 + 6*i**2).\nAnswer: 24*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -25. Suppose -21 = -q + 4*k, -k - 4 - 2 = -q. Suppose 0 = -7*l + 4*l + 12. Put h, q, l in descending order.\nAnswer: l, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*u + 5*h, 2*u - 28 = -2*u + 2*h. Solve u*m + 41 = -4*s, 2*m + 2*s = -m - 23 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 140 (b) 3\/5 (c) -3651 (d) 0.4 (e) -3\/2 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5190*c**6 - 4*c**4 + 2*c**3 + 38*c**2 + 1388*c + 1.\nAnswer: 622800*c**3 - 96*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -15. Suppose -d*c - 4 = -0. What is the nearest to -1 in c, -0.3, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.544 at least 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 33*b**2 + 5*b - 7. Suppose -2*x = -2*c - 12, -c + 5*c + x + 14 = 0. Is q(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2307110 divided by -461422?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 1:47 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34.69529 - -0.61429. Let u = 0.081 + q. Let r = 43 + u. Is r not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - y. Let n(u) = -8*u**2 + 3*u. What is -n(c) + 3*q(c)?\nAnswer: 5*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u - 39. Let s be y(23). Solve -11 = -2*k - s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -0*q + 48. Suppose -3*i + i = -q. Suppose -2*d + 2*m + 4 = 8, -2*d = 2*m - i. Which is bigger: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/(-9984)*16 + 3\/(-9).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y + 19. Give g(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2924*j. Let f(b) be the first derivative of -b**3 + 1259. Give w(f(c)).\nAnswer: 8772*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12 + 4\/(-1) - (-68)\/(-10). Factor 0 + k*d**2 + d + 1\/5*d**3.\nAnswer: d*(d + 1)*(d + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**5\/12 + k**4\/3 - k**3\/6 - k**2 + 10*k. Let w be d(2). Let a(y) = y + 8. Let q(m) = 1. Give w*q(u) + a(u).\nAnswer: u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 50 = -9*y + m, -y - 62 = -5*m. Let b = -7 + -7. Let t be 2\/7 + y\/b. Put t, 0, -1, 1 in descending order.\nAnswer: t, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (7 - 4) + -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 419633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 110 = 5*v, 0 = x + x - v - 238. Suppose 0 = 5*u + 3*i - x - 268, -256 = -3*u + 4*i. Is 23 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8 - 2 + n - 5 + n**2. Let d(k) = -4*k**2 - 3*k - 3. Determine 5*c(i) + d(i).\nAnswer: i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/28*(23\/((-30153)\/(-2714)) - 2)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 3*x**2 + 2*x + 2. Let m be r(4). Let v be (4\/(-10))\/((-9)\/m). What is the nearest to -0.1 in 0, 1\/3, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y. Let v(l) = 2*l**2 - 9. Let r(s) = -9*s**2 + 45. Let c(q) = -5*r(q) - 24*v(q). Calculate c(i(g)).\nAnswer: -27*g**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (85*(-165)\/(-1870))\/(-2*3\/48)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)*x\/x**(-18))\/(x**(-1)*x\/(x\/(x*(x\/(x\/(x*x\/x**(-8))))\/x*x))) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18101*a**4 + 128*a**3 - 1491550*a**2?\nAnswer: -434424*a + 768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20033200 - -220?\nAnswer: 20100020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44.1 + 45.1. Which is the closest to -2? (a) -0.4 (b) m (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2405 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -31. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-7))**28*m**(-4\/19)\/(m**(3\/26)*m) assuming m is positive.\nAnswer: m**(-83647\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2 + 2 + 3027168*m**3 - 3025752*m**3.\nAnswer: 1416*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - x + 6*x, -2*f - 4*x = 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14636*r - 8082 wrt r?\nAnswer: -14636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -283222 + -4?\nAnswer: -283226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 106*o - 450*o**2 + 911*o**2 + 100 - 466*o**2 - 11*o.\nAnswer: -5*(o - 20)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -304 (c) 4 (d) -4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*y + 22, -4*k + 40 = 5*y - 0*k. Sort y, -2, -5 in descending order.\nAnswer: y, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 32, 5, -1.1, -3, -132, 3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*u - 11 = 0, 0*b + 15 = -4*b - 3*u. Let f be 3\/(-2)*14\/b. Let w(v) = 3*v + 3. Does 12 divide w(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {z: 3, o: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 2*k + 2. What is the remainder when 3 - (-8 - -7 - 71) is divided by z(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**3*n**3 + i**3*n**2 + 78102*i**3*n - 32740*i**2*n**3 + 6*i**2*n**2 wrt i?\nAnswer: -6*n**3 + 6*n**2 + 468612*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -321, -240, -161, -84?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -134 + 274. Let v = q - 64. Suppose -2*o + 5*x = -8 - 30, -5*x + 95 = 5*o. What is the greatest common divisor of o and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 1. Suppose u = 5 - f. Let b be (-28)\/(-2)*(-36)\/(-42). Solve u*l = -0*l - b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/13)*k**(-6))\/((k*k\/(k*(k\/k**(-2\/5))\/k*k)*k)\/(k**(-2\/7)*k*k)))**45 assuming k is positive.\nAnswer: k**(-19377\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/86528 and -3\/112.\nAnswer: 605696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -5*d + 11, -82*f - 3*d - 2723301 = -2723626 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/4 - 317*d**4\/4 + 23991*d**3\/4 + 178857*d**2\/4 + 97686*d + 59049 = 0. Calculate d.\nAnswer: -3, -1, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4\/4 + 7*w**3\/4 + w**2\/4 - 27*w\/4 + 9\/2 = 0. Calculate w.\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s - 3*s - 1 + 4*s. Let f(w) = -4*w + 2. Let q(c) = 2*c - 3. Let g be q(3). Calculate g*i(z) + 2*f(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1. Let g(a) = -1. Let m(x) = 6*g(x) + 7*z(x). Let t(u) = -22*u**5 + 17*u + 2. Let r(p) = 2*m(p) - t(p). Find the second derivative of r(i) wrt i.\nAnswer: 440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/7221 and -67\/144?\nAnswer: 346608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -9. Let d(n) = -n**3 - 5*n**2 + 6*n + 3. Let c be d(-6). Sort u, -0.2, c.\nAnswer: u, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 37.76?\nAnswer: 38.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000011110110 - -11110?\nAnswer: -11000011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 15, b: 4}.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**6\/10 - 21*x**5\/20 + 17*x**4 + 24*x**3 - 864*x**2 - 263*x - 5. Factor u(g).\nAnswer: -3*(g - 4)**2*(g + 3)*(g + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10526 divide 4603882932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/6 - 0)\/(2\/56). Suppose -3*q - s = -281. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*t + 2*p - 180, -4*t = -5*p - 231. Let m = 8 - 4. Suppose t = 5*i - m*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1790, -1929, -2160, -2483, -2898?\n\"Answer: -46*v**2 - v - 1743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 657821, 0, 376?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7337109 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a meter in micrometers?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322748*d + 322752*d = 52 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 127*k**2 + 214*k - 11005. Calculate j(128).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79838*v + 35*v**3 - 79838*v.\nAnswer: 35*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 23.75. Let h = -1.8 - z. Let f = h + 0.45. What is the third biggest value in -0.4, f, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 77*y**2 + 86*y - 622. Determine k(78).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(70)*2 + sqrt(70))*-4)\/(sqrt(80)\/sqrt(200) + (-4*(sqrt(10) + sqrt(160)) - sqrt(10))).\nAnswer: -25*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7045 + 21216. What are the prime factors of f?\nAnswer: 37, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 4*k + n, 2*k + 2*k - 2*n = 140. Let r be (6\/(-9))\/((-1)\/k). Let g = -3 + r. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24228986 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 5*m**2 - 5*m - 7. Let a be j(5). Let n be (-8)\/a + (-15816163)\/(-4). Let l = n + -354041. What is l rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2481453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1022.0983 * -3\nAnswer: -3066.2949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 554270 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffjofoffh. Give prob of picking 1 o and 1 j.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/23 less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 12:47 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 4)**2*-2 + 1.\nAnswer: -41 - 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15716 is divided by 120.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 812699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -145570, -291141, -436712?\n\"Answer: -145571*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -1318.\nAnswer: 4\/659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3592.7 - -3593. What is the fourth biggest value in -8, 0.2, d, -0.2, -11?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*q - 35*q + 1485. Suppose -c - l + q = 0, -4*c + 5*l + 257 + 385 = 0. Is 28 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/178165 and -58\/25?\nAnswer: 890825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7150 minus 15651485?\nAnswer: -15658635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/(sqrt(56)\/sqrt(7)))\/(sqrt(768)*3 - sqrt(12)).\nAnswer: sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 959301 divided by 3\nAnswer: 319767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9238835 litres?\nAnswer: 923.8835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(2 - -1 - 2). Let c = -3 - f. Find the third derivative of m**2 - 3*m**3 + 3*m**3 + c*m**3 wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**4 - 1224*a**3 - 24*a**2 + 2*a + 30?\nAnswer: -48*a - 7344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -5*z**3 + 356225*z**2 - 712430*z = 0?\nAnswer: 0, 2, 71243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 2*u**2 + 4*u. Let i be a(-3). Let y(k) = k - 4. Let h be y(8). Let w(b) = -b + 1 - h*b + 2*b + 2*b. What is w(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/8)\/3*24290\/69400\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7715\/7 - 1102. Sort z, 0.6, 0, 0.01 in descending order.\nAnswer: 0.6, z, 0.01, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (2 - 7) - (7 + -10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20941 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 7:08 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 4*z + 30 = -f - 0*f + 6, -590*f + 4*z - 9448 = 0 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/2))**(-9) assuming z is positive.\nAnswer: z**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**(-2)\/v)\/v)**11*(v\/(v\/(v**(1\/11)\/v*v)))\/(v\/v**(-9)*v)*(v**(-3\/7)\/(v*v**(-1\/3)*v))\/((v\/v**8)\/(v\/v**(1\/16))) assuming v is positive.\nAnswer: v**(-140695\/3696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**3 - 17*a**2 - 21*a - 15. Let i(b) = 2*b**3 - 9*b**2 - 11*b - 8. Let t(j) = 11*i(j) - 6*p(j). Let n be t(-1). Solve 0 = n*k - 6*k - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -22. Suppose 0 = 2*z - w, 2*s + 4*z = s + 10. Let h be -2 - -1 - (-6)\/2. Solve -s*v + 2*v + 3*u = 0, 4*u = h*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 133 + -42. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f. Let t(j) be the second derivative of 133*j**4\/4 + 357*j - 2. Let w(x) = -9*x**2 + 33*x**2 + x**2. Let h(k) = -6*t(k) + 95*w(k). What is h(c(p))?\nAnswer: -19*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + sqrt(110) + sqrt(110)*-3*5)\/(sqrt(250)*-4) + ((sqrt(4400) - (1*sqrt(4400) + sqrt(4400)))\/(sqrt(4) + sqrt(44)\/(sqrt(22)\/sqrt(2))))**2*5.\nAnswer: 13*sqrt(11)\/20 + 1375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -11. Let a be (4 + -1)*b\/6. List the prime factors of 2*a\/(16\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d + 14691 = 32*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 10. Let t = 563\/20 + -152\/5. Which is bigger: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8cc - -3?\nAnswer: -8c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63353\/7 - -9051. What is the third biggest value in -0.2, 2, l, 0.079?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*u**2 + 2 + 47*u**2 + 14*u + 50*u**2 - 14*u + 83*u**2.\nAnswer: 24*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -950*i**4 + 1 - 5*i + 62*i + 333*i**4 - 5*i wrt i?\nAnswer: -7404*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 1. Let h(r) = -5*r + 15. Calculate -h(g) + 2*t(g).\nAnswer: 3*g - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4473, 8914, 13355, 17796?\nAnswer: 22237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 7*u - 7. Let l be p(-6). Let t(m) = -5*m + 3. Let a(q) = q + 1. Let b(k) = -4*a(k) - t(k). Let r be b(4). Put l, 3, r in increasing order.\nAnswer: r, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2266 = 55*f - 1216 - 1325 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219618 is divided by 1186.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -37*f**3 - 6*f**2 - 17*f. What is the lowest common multiple of 425 and y(-2)?\nAnswer: 7650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -19. Suppose -3*p + 31 = 5*a - 26, 0 = 3*a - 3*p - c. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36360 (base 13) to base 16.\nAnswer: -1847a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 10\/11 (c) -1 (d) -1\/4 (e) -2 (f) -0.3 (g) 1244\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2067.8 or 2\/27?\nAnswer: -2067.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -2*o**2 + 0*o + 0 + 1\/3*o**3 + 9100001\/12*o**4. Let q be v(-1). What is q rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 23 + 225 = 0. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.557 + -22.957. Which is the third biggest value? (a) g (b) -15\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 47*h - 88*h - 2*h**4 - 72 - 97*h - 22*h**3 - 86*h**2.\nAnswer: -2*(h + 1)*(h + 3)**2*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o**(-2\/7))))\/(o**(-5\/4)*o) assuming o is positive.\nAnswer: o**(27\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p - 3*n - 15 = 0, -5 = n. Suppose p = -8*k + 673 - 89. What are the prime factors of k?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 5*z + 5. Is c(-8) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.029477*-0.6.\nAnswer: -0.0176862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 4. Let y(h) = -h**2 - h. Let l be y(-1). Let q be -11 - (l - -2) - -3. Let t be u(q). Calculate the highest common factor of t and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256 (base 8) to base 16.\nAnswer: ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 19*z**2 - 23*z - 65. What is j(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-94)\/(-6) - 8\/12. Solve 0*g - 5*g - v = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 114884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 0.2 (b) 5 (c) 0 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 95671322 * -0.7\nAnswer: -66969925.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a microgram in nanograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7193 - 7188. Solve -g = -x*g + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 712 - 862 = z. Solve -5*v + 84 = u + 54, v = -2*u + z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + 47 - 97 - 181*k**2.\nAnswer: -181*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - 0.1. Let b = 594.04 - 594. What is the nearest to -2 in x, b, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1097*o - 313 + 642 - 330)*(-2 + 4 - 1)*(1 - 2 + 6) to f + g*o and give g.\nAnswer: -5485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 27\/5 of a millisecond?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1059 - -1042 - (23 - (-1 - -3))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-five halves of a tonne?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29.779 and -9.24.\nAnswer: -275.15796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**4\/5 - 27*h**3 + 497*h**2\/5 + 205563*h\/5 + 40986 = 0.\nAnswer: -33, -1, 54, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -38*((-31880)\/(-760) + -42). Let d = 29\/4 - 7. What is the third smallest value in d, 9, a?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 194, -7, 0, 206 in increasing order.\nAnswer: -7, -5, 0, 5, 194, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/78*(-7 + 4)*-11158 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -318 - -322. Suppose 6*f - 2*h + 36 = 9*f, 3*f + a*h = 36. Calculate the highest common factor of f and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 - v**2 + 2*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.847181 from -260.\nAnswer: -260.847181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3487891 a multiple of 720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 1. Suppose -280 = 3*i - 7*i + 4*w, -2*w = -c*i + 214. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**4\/12 + 7*t**3\/6 + 4*t**2 + 1060*t. What is b(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**2\/3 + 3776*u\/3 + 18980\/3 = 0. What is u?\nAnswer: -5, 949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 2335\/2 + 5\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**6\/480 + 7*r**5\/240 - 3*r**4\/16 - 25*r**2. Suppose g(x) = 0. What is x?\nAnswer: -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**3\/b*b)**(41\/5) assuming b is positive.\nAnswer: b**(164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (c - 3*c + 0*c)*(4*c - 3*c - 3*c) + 2*c**2 + 10*c**2 - 2*c**2 - c - 27 + 49 - 21 + 10*c**2 in the form q + l*c**2 + j*c and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 + 336. Is 26 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/32 and 47\/22628760.\nAnswer: 90515040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 869 + -864. Suppose 3*s - 5*z + 0*z = 1, -4*s - 3*z + 11 = 0. Solve -a*q - c = -s*q - 8, -5*q + c = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 112, 14519, -23 in increasing order.\nAnswer: -23, -2, 112, 14519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**5 - 45*c**3 - 20*c**2 + 60*c.\nAnswer: 5*c*(c - 3)*(c - 1)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 543 divide 58426305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 9 - 18. Let o be -4 + (r\/6)\/((-12)\/(-80)). Calculate the greatest common factor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 8*o**2 - 3*o + 3. Give v(10).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -27\/20*g**5 + 19\/2*g**2 + 0*g**3 + 0 + 0*g**4 + 24*g. What is the derivative of k(m) wrt m?\nAnswer: -81*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1190 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 + 22. Let b be a(0). Suppose 4*u + k = -0*k + b, 2*k = -4. What is the remainder when 22 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 51*d + 55*d = 116729. Solve 1031*j - 8 = d*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 17*p + 7. Let g be t(-12). Suppose 4*q - 239 = 4*a - g, 4*a + 2*q = -166. Is a >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 881493 (b) -4 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -127 or 2\/245?\nAnswer: 2\/245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqrq when four letters picked without replacement from {r: 4, j: 7, q: 5}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-6))\/((-1)\/14). Suppose 5*i - 176 = -2*m, a*i - 4*i = 5*m + 118. Suppose i = y + y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 511.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 0*i + 1\/3*i**3 + 7*i**2 - 1 + 1\/12*i**5 + 5\/24*i**4 - 1\/120*i**6. Let d(h) be the second derivative of c(h). Determine d(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - ((2 - 0) + 78 - (31 + -30))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*l**6 - 71*l**2 - 2*l wrt l.\nAnswer: 6360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -458*v**3 - 17*v**2 - 17*v + 23. Let f(a) = 153*a**3 + 6*a**2 + 6*a - 8. Calculate -17*f(b) - 6*w(b).\nAnswer: 147*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 0*q - u + 563, -4*q + 746 = -u. Is q a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 895122 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnunoofoofno. Give prob of sequence uof.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30341 (base 8) to base 7.\nAnswer: 51324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 221783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 - -23. Let q = 35 + r. Solve 4*p = 3*h + 35, 0 = -q*p + 5*h + 45 - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 478*w + 94. Let b(n) = 239*n + 51. Calculate 11*b(u) - 6*c(u).\nAnswer: -239*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 644 and 2625910?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 + 9*b**3 - 3*b**3 - 4*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 6 + 25 - 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**3 + 2*j**2 - 5*j + 20. Let z(q) = 2*q**2 - 2*q + 3. Let p(x) = 3*s(x) + 5*z(x). Give p(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(18\/((-1980)\/(-10))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (177 - 174) + -1 + 8 - -10 - 8 - -10.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**4 - 85629*n**3 - 587115453*n**2 + 344531625021*n = 0.\nAnswer: -14543, 0, 543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z + 6. Let g be x(4). Let h be 2*2 - 2 - -7. Let f = h - g. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**2 - 222*x + 4648 = 0?\nAnswer: 28, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = v - n - 2*n, -2 = -2*n. Let q = v + 12. Put 3, -1, q in decreasing order.\nAnswer: 3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*s = 20. Let j = 5\/51 - -179\/255. Let u(n) = -2*n**2 - 3*n + 2. Let w be u(-3). What is the second biggest value in s, w, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1477185, -2954637, -4432089, -5909541, -7386993, -8864445?\n\"Answer: -1477452*n + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12146\/3 greater than 4050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 4*l**2 - 6*l - 3. Suppose 4*q = q + 18. What is the least common multiple of d(-5) and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2643*d - 19206 + 59326 = 637*d for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b60b (base 12) to base 8.\nAnswer: 117253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.91*-187.\nAnswer: -170.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, r: 2}. What is prob of picking 2 r and 1 j?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + (-1908)\/(-474))\/(1\/(-1)). Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.28106 + 0.08106. Let m = -16 - -33\/2. What is the nearest to m in q, -3, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 507*w - 3349*w - 2737*w - 1974*w - 512*w - 1 in the form z + c*w and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/3*u**2 + 2\/3*u**3 - 4\/3*u.\nAnswer: 2*u*(u - 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16801 - 16800.99978124. Round y to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-10697)\/(-987) + -1. Let r = n - 3\/658. Find the common denominator of 1243\/66 + 1 + 0 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 2*a**2 - 3*a. Let o = -17 + 14. Let l be t(o). Suppose l = -51*m + 52*m - 12. Calculate the least common multiple of 16 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5087.083l to millilitres.\nAnswer: 5087083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*k + 17 = n, -2*k + 8 = -n. Suppose 4 = 4*f - n*f. Calculate the greatest common factor of 7 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 122 - 113. Let a be -2*(-1 + 0) - -3. Let k(d) = 2*d**2 + 6*d + 1. Let s be k(a). What is the highest common factor of s and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1761, -3462, -5163, -6864, -8565, -10266?\n\"Answer: -1701*x - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-5)*(-460)\/(-138)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-1*2)*-15*476\/2040\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25131\/17 + 1479. Let n = l + -2\/51. Which is the smallest value? (a) -2\/5 (b) 0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 - 45 = 22*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (2 - 1 - 33) + (-2 - -9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 15*p + 19. Let h be b(-16). Suppose 4*c - 655 = -h*n - c, 0 = 3*c - 15. Let v be 600\/((45\/n)\/(8900\/(-14))). Round v to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6056917?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2518 (base 10) to base 12\nAnswer: 155a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 52. What is the common denominator of 83\/20 and ((-21)\/28)\/(o\/(-74))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 3:20 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 < -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w - 10 = 42 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-8) + (-3)\/(-6). Let l = 1.1 - 1.2. Which is the nearest to f? (a) l (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 164 and 6?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 389.6 - 464. Let q = o - -68.33. Let l = 6 + q. Round l to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0 (c) -1\/4 (d) 156 (e) 20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 954328231 to the nearest integer?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 11. Let g(y) = 6*y**2 - y - 4. Let s be g(3). Let m = s - 35. What is the remainder when q(-12) is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*b - 0*b + 8, 0 = 3*b. Calculate the remainder when 10 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1452239\/68 - -21356. What is the common denominator of z and (-1008)\/(-1176) + 2151\/210?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 64.59043 centimeters?\nAnswer: 0.6459043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 33265424 (base 8) to base 3\nAnswer: 111111022112112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -14\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -1. Let a(p) = 3*p + 1. Suppose 4 = -8*w + 12. Determine w*a(f) + 2*s(f).\nAnswer: 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1486184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*g**3 + 100*g**3 + 2*g - 53*g**3.\nAnswer: -71*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 + 142. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 17*t + 27. Suppose u + 3*n - 31 = 71, 3*u - 2*n - 262 = 0. Let c = u - 76. Is i(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - (-30)\/(-40))\/(2\/40). Let o = -1723\/23 - h. What is f in o*f**2 + 8\/23*f + 6\/23 = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/2 and -45\/441308?\nAnswer: 441308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 61*(-3 + -2). Suppose -144 = -0*t - 2*t - 2*g, g = -4*t + q. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4 = g - 0*v, 0 = 2*g - 5*v - 9. Let b(j) = -2*j - 10. Let r be b(-11). Solve r - 9*f**g - 9*f + 27*f**3 - 13*f - 2*f = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9611.386 litres in millilitres?\nAnswer: 9611386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29\/148 - -2\/37. What is the nearest to g in 5, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - ((-2)\/(-2) - 7). Suppose 0 = i - 3*y + c, -2*i + y + 7 = -1. Solve -4*v + 6 = -g - i, -16 = -4*g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 21 = g, 4*w = -4*g + 27 + 9. Suppose m = w - 4. Suppose 2*z - 3 = z. Which is smaller: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1 - 1) + 4 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1174628313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from {p: 2, r: 1, c: 3, i: 8, b: 1, f: 3}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*n + 41*n - 90. Calculate the smallest common multiple of 164 and n.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (1 + 0)) + -1. Calculate the least common multiple of (-5)\/20 + (2 - (-49)\/4) and 1 + 1*j\/(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11339.2 to the nearest one hundred.\nAnswer: -11300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15030 + -3?\nAnswer: 15024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -11 - 86*d**3 + 10 - 4*d**2 - 2 + 2*d**2. List the prime factors of u(-2).\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -7)*2 + (-6768)\/(-752).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + x**3 + x**3)*(30 - 30 + 41*x) + (0*x**3 + 0*x**3 + x**3)*(-x - 4*x + 6*x) + (1 + 2 - 2)*(-2*x**2 + 67 - 67)*(3*x**2 - 2*x**2 + x**2).\nAnswer: 120*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/9 + -2)\/((-6)\/9). Suppose 4*c + j = 20, -3*c - 3*j + 15 = j. Suppose -3 - 7 = -c*u. Is u greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 98651 - 23651. Round h to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, i: 1, p: 1, b: 2, s: 1, n: 2}. Give prob of sequence psbn.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**2\/7 + 233606444*f\/7 + 6821496334790642\/7 = 0?\nAnswer: -58401611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1245*n - 75612. Determine y(61).\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -42285 (base 13) to base 7\nAnswer: -1004121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g. Let v(p) be the first derivative of -4*p**4\/3 - 47*p**2\/2 + 3. Let b(u) be the second derivative of v(u). Give q(b(f)).\nAnswer: -64*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/15*(4 - (-70)\/(-20))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 18. Let i = q + 23. Solve i = -5*o - 2*a - 0*a, a = 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1781610*b**2. Let c(r) = 3*r. Give c(a(y)).\nAnswer: 5344830*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 5*l - 6. Let n(i) = -5*i**2 + 9*i + 11. Let k(v) = -4*n(v) - 7*p(v). Let b(m) = -2*m - 4. Let j be b(-3). List the prime factors of k(j).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/11 (b) -107 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14701, -27626, -40549, -53470?\nAnswer: -66389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**3 - l**2 - l. Let r be m(-1). Let p = 7 - r. Is 32 a factor of p\/(-3)*-12*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 26, 2.\nAnswer: -5, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 - 3*i**2 + 3. Suppose 3*f - 4*o - 29 = 0, -4 = 5*f + 4*o + 1. Let g(z) = -7*z**3 + z**f - 3 + 2 + 5*z**3 + z**2. What is -3*g(k) - x(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**8\/2520 + d**7\/252 + 11*d**3\/3 + 22*d**2. Let b(q) be the first derivative of t(q). Factor b(j).\nAnswer: -2*j**3*(j - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6071776, -6071720, -6071666, -6071614?\n\"Answer: -g**2 + 59*g - 6071834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 + 72. What is the remainder when 123 is divided by s\/(-1) + (-143)\/(-11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/(-243))\/((-9)\/1).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -4 + (-6 - -14) + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -5*o + 3. Suppose 4*z + z = 25. Suppose 2*g = u + 68, z*u + 175 = 3*g + 2*g. What is the greatest common factor of g and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2) + (0 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3219660.\nAnswer: 2, 3, 5, 31, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 158836843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55 - 50) + (-14 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 2*p + 1. Let s(b) = -32*b**3 - 2*b**2 - 3*b - 1. Let r be s(-1). Let d = r + -33. Let q be z(d). Solve q*t = 4*t - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -14541*q - 223. Is g(-3) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 11 - 35. Suppose -b = -2*k + 3*r + 11, 23 = 4*k - r. Suppose -48 + 188 = k*n. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7847712 and 1961928?\nAnswer: 7847712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 + 67. Suppose 0 = u*d - d - 484. What is the remainder when d is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 6 - 1\/8*d**4 + 0*d + 1\/3*d**3 - 1\/4*d**2. Factor j(k).\nAnswer: -k*(k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shhhhhhs. Give prob of sequence hs.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 64.\nAnswer: -5\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51 or -54?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2 and -33\/85917782.\nAnswer: 85917782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 12.2 (b) 50 (c) -0.2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*m - 17*m - 69*m)*(-1 + 0 + 0)*(-m**3 + 4*m**3 - m**3).\nAnswer: 94*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295762?\nAnswer: 2, 147881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*(4\/(-6) - 0)\/((-29 - -6) + 24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(3) + -2 + sqrt(12)\/sqrt(64))**2.\nAnswer: -25*sqrt(3)\/2 + 475\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -79304589023 from 1.\nAnswer: 79304589024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5 + 14*n**4 + 72*n**3 + 162*n**2 + 135*n = 0. Calculate n.\nAnswer: -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = v - 5*u, -26 = 4*v + 3*u + 1. Let a be v\/(-6) - (-10)\/4. Is 14\/(a*6\/45) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u = -3*z - 3, 5 = -3*u + 5*z. Suppose -p - 8679995 = n, -5*n - 26039975 = -2*n + u*p. What is n rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -409054, -409064, -409072, -409072, -409058, -409024?\nAnswer: -408964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/41)*r**(1\/21)\/r*r*(r\/(r\/(r*r\/(r\/(r*r\/r**(-9))*r))))\/r**15 assuming r is positive.\nAnswer: r**(-3361\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2497 (b) 4\/15 (c) -10 (d) -0.1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.19113*7\nAnswer: -1.33791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*d**3*f - 6999*d**3*n**2 - 676*d**3 + 10940*d**2*f*n**2 - 3*d**2*f + d**2*n**2 - 26*d*n + 2*f*n**2 + 5*f wrt d?\nAnswer: 36*f - 41994*n**2 - 4056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -31*q**8\/336 - q**4\/24 + 79*q**3\/3 + 121*q**2. Find the second derivative of j(t) wrt t.\nAnswer: -620*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54509065 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 1:59 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4032692173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -587.7 + 587.960024. Let a = -0.26 + v. What is a rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -858097194 - -602384129267\/702. Let i = 1834\/13 + u. Calculate the common denominator of 35\/8 and i.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*w + 16*w - w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/40*(16 - 4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 12524854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 + 3\/3. Let o = 121 + -603\/5. Put u, o, 1\/6 in decreasing order.\nAnswer: u, o, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-4*sqrt(110))\/sqrt(10))**2 + (3*2*sqrt(132) + sqrt(132))\/sqrt(12).\nAnswer: 31*sqrt(11) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -3*k**7\/280 + k**6\/160 + k**5\/16 - k**4\/32 - k**3\/4 + 39*k**2 - 2. Solve v(z) = 0 for z.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, 3, 4, -7 in descending order.\nAnswer: 4, 3, -1.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m + 88 = 2*c, 0 = c - 5*m - 44. Let q = 5 + 9. What is the least common multiple of c and q?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/4*(-4)\/(-2). Suppose -h*n + 5 = -4. Suppose 4*g - 6 = n*g. Calculate the smallest common multiple of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 6 + 126 = 0. Let m = 19795\/1084 + -3\/271. Find the common denominator of (-1)\/6*1164\/j and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 22 = 16. Solve -u*j + 2 = -4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 72*t**2 - 73*t - 159. Give u(-73).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -154, 2, -0.04, 25, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r\/(r\/(((r*r**11)\/r)\/r)))\/r)\/((r\/(r\/(r*r\/(r*r**(-6)*r))))\/r) assuming r is positive.\nAnswer: r**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -326 - -2938\/9. Let d = -0.32 - 0.68. Let h = 3 - 4. Which is the closest to d? (a) v (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -178*y**5 + 5*y**3 - 308*y + 2.\nAnswer: -3560*y**3 + 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-18) - 12288970062\/(-162). Suppose 0 = -12*d - s + 18257840. Round d to the nearest one hundred thousand.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3770 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: b\"What is the kth term of 171418, 171390, 171362?\n\"Answer: -28*k + 171446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/1728*-24)\/((-10)\/6)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10*4\/(-32)*-4. Let k = -3.872 + -0.088. Let g = k + -0.04. Put 5, o, g in increasing order.\nAnswer: o, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/139065058 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14767, -58860, -132375, -235312, -367671?\nAnswer: -529452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20294.84542 and 178.\nAnswer: 20472.84542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 13*l**2 + 300*l - 3913. Give s(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/17 - (11022\/17)\/(-3). Calculate the greatest common factor of j and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -48)*(-1 - 25\/2). Let h be -3 - (-4)\/r*-482. Which is the closest to -0.1? (a) 0.4 (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)\/(g**(-6)*g*g))\/(g*g*g**0)**22 assuming g is positive.\nAnswer: g**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-12) - 3830\/12. Let z = b - -322. Solve -z = m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 469 = -2*k + 6*k, -3*k - 5*t + 323 = 0. Let b = 120 - k. Solve 4*s - 32 = b*g + g, -3*g = 5*s - 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 940*t**2 - 30*t - 48. What is the tens digit of r(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-608)\/(-44) + (-2)\/(-11). Suppose -s - 30 = -100. What is the greatest common factor of s and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*((sqrt(99) + 2 - (sqrt(66)*-1)\/sqrt(6))*1 - (-1*sqrt(132)*5 + sqrt(132))\/(sqrt(768)\/sqrt(4))).\nAnswer: 8 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24152809, -24152798, -24152779, -24152752?\nAnswer: -24152717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/4*(-12)\/18. Let i be c*((-20)\/1 - -1). Suppose -3*y = -4*a, -y + i = 4*a + a. Solve 12 = a*k - 0*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1533*z - 1528*z = -5*l - 125, -104 = 4*z + 5*l for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -y**4 - 46*y + 140 wrt y.\nAnswer: -4*y**3 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 8*y + 9. Let s be r(6). Which is smaller: -13\/4 or s?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -92 + 338. Let z be -5 - h\/(-36) - (-2)\/12. Solve 0 = 3*l, 3*i - z*i + 3*l = 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.41137 rounded to 1 dp?\nAnswer: 69.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 631*j**3 + 24*j**2 + 5*j + 6. Let x(a) = -2*a**3 + a**2 + a. Let b(m) = s(m) - 5*x(m). What is the third derivative of b(c) wrt c?\nAnswer: 3846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 39?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110244 (base 5) to base 3.\nAnswer: -11011102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**6\/180 - n**5\/45 + 7*n**4\/36 - 4*n**3\/9 + 3*n**2. What is x in f(x) = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 27, 1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -2*t**3\/3 - t**2\/2 - 115*t + 26. Suppose 2*z = -3*x + 20, 0*x + 32 = 3*x + 5*z. Calculate n(x).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*p - 43*p + 76*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from miiiiimddd. Give prob of sequence mi.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - ((sqrt(132)*-1 - sqrt(132))*3 + sqrt(132)))\/(sqrt(275)*-2))\/(((1*(sqrt(256) + 2*sqrt(256)) - sqrt(256)) + sqrt(256) - sqrt(256))*2).\nAnswer: -3*sqrt(3)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 33*j + 249. Sort 5, -1, j, 4 in decreasing order.\nAnswer: 5, 4, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3094, -2825, -2610, -2455, -2366, -2349?\nAnswer: -2410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*z - 144*z + 49*z + 45*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/14 + 9 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -5*j**2\/2 - 3*j - 94. Determine s(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 6*x - 6. Let f be c(-6). Let r = f + 9. Suppose 0 = r*y - 30. Solve 4*s = -5*m + 10, -2*s = 4*m - 9*m + y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w + 14. Let j be (-2)\/((-14)\/28*(-20)\/(-14) + 1). What is c(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**2\/2 - 202*g + 20402 = 0.\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1404 and 58404580?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 3:52 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**2\/2 - 85. Let z(t) = -62*t**2. Give y(z(f)).\nAnswer: 62*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36121 in -1, -0.2, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36950 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11.05*-4\nAnswer: 44.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/(-30))\/((30\/105)\/((-1)\/(126\/(-24)))).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26378386.\nAnswer: 2, 1297, 10169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 6732925.\nAnswer: 4\/6732925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v - 32 = 30*v. What is the highest common divisor of 16 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.44 - -30.94. Let d = 3.7 - l. Let p = d - -21.12. Round p to one decimal place.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + q**2 - q + 1. Let o be c(0). Let x be 9\/(2\/((-3)\/o + -1)). What is the closest to -2\/3 in -1\/7, x, 0.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from fjbjjhfhjhhjtthjf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, s: 2, g: 1, o: 8, x: 1}. Give prob of picking 1 s and 1 o.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfbbfb. What is prob of sequence bb?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 4*r + r)*(12*r**2 - 15*r**2 - 5*r**2).\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w. Let f(t) = 35 - 35 - 17*t. Give k(f(y)).\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 2:57 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 31*u**3\/6 - 119*u**2\/2 + 3862*u. Determine p(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (180 - 18)*(-1 - (-10)\/6). Suppose g - 4*i = 100, i - s = -g + 3*i. Let m be (-2)\/3 + (-89)\/(-3). What is the highest common factor of g and m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -8*w**2 - 3*w. Let c(y) = -y - 6. Let m(l) = 2*l + 11. Let j = 6 + -12. Let f(b) = j*m(b) - 11*c(b). Give d(f(q)).\nAnswer: -8*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -14.372.\nAnswer: -18.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18368 + 18690. Calculate the greatest common factor of 598 and y.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 14*v - 2*w + 134, 2*v - 5*w + 0*w = -84747 + 84717 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 + 82*q - 19. Let a be r(-15). Let k = a + 1193\/2. What is the common denominator of k and -83\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3663 (base 8) in base 13?\nAnswer: -b88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3, 2*j - 47 - 6 = 5*s. Let g(l) = 62*l - 169. Is g(j) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + 7*c - c + (-3 - 1 + 6)*((3 + 0 - 1)*(-c - 7*c + 2*c) + (-2*c + 0*c + 4*c)*(3 - 1 - 3) + 3*c - 4*c - c + 2*c - 2*c + 3*c).\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20908*d = 10447*d + 10437*d + 1848 for d.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + a + 5. Let w be s(-5). Let f = w + 30. Let g(p) = 7*p**2 + 4*p - 18. Is g(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(117)*1)\/sqrt(9))**2 - (-1 + sqrt(13)*2 + 4).\nAnswer: -2*sqrt(13) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5 + 1 = 4*s, 2*b - 4 = -4*s. Suppose 0 = -b*v + 22 + 50. Differentiate -v - 7*y**4 + 6 + 12 wrt y.\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -130.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -4. Let j be 1\/a + 28\/8. Suppose 11 = -2*z + 5*f, -4*z - f = j*f - 48. Calculate the remainder when 13 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.0307847 rounded to 2 decimal places?\nAnswer: -17.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*376.\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 9435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -4*d - d. Let a = 50 - d. Suppose -4*j + 5*t - 66 + 265 = 0, 239 = 4*j + 3*t. What is the lowest common multiple of a and j?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2340 (b) -0.2 (c) -2\/7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/13, 0, 1\/8, -7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 - (3 + 1 + -4 - -6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*u + 8*u + 50*u + 3*u**2 + 2*u**3 to the form h*u + l + c*u**3 + k*u**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -740*p**2. Let f(x) = 34*x. Give u(f(q)).\nAnswer: -855440*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {u: 8, z: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 352 + -421. Let w = 139 - n. What is the greatest common factor of 24 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (119\/34)\/(-7)*0*(-3)\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1967*l**2*q - 2*l**2 + 7*l - 11016*q with respect to l.\nAnswer: 3934*l*q - 4*l + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1319 - -1319. Suppose y = -3*y + 8. Suppose -y*p + p + 769 = a. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/18*-3 + (-16)\/48?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2. Let d(x) = 7*x**2 - x. What is 5*d(t) + 30*o(t)?\nAnswer: 5*t**2 - 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4 - 8 - 6 + 14 - 1 - 8*h - 4*h**2. Let x(y) = 3*y**2 + 5*y + 3. Calculate -5*b(r) - 8*x(r).\nAnswer: -4*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(2\/5))**(-15\/8)*m**(3\/11)\/(m\/(((m**2\/m)\/m)\/m)))**(1\/9))**37 assuming m is positive.\nAnswer: m**(-4033\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. Suppose 0*m + m = 3*r, -m + y*r = 0. Let i = 6 - 2. What is the second smallest value in -3, m, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*d - 4030 = 16*d + 215*d for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 22*l**3 - 35*l**2 - 27*l - 143. Let c(n) = -5*n**3 + 9*n**2 + 7*n + 36. Let q(h) = -9*c(h) - 2*w(h). What is q(12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - a + 12 = 0, 2*a + 3 = 4*m + 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 9:57 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 231 - 2*h + 2*h**2 + 220 - 4*h**2 + 15*h**3 - 673 + 223 in the form r*h**2 + j*h**3 + b*h + y and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 9. Let m = v + -22. Let p be 8 + -12 + (-34)\/m. What is the nearest to 0.1 in -1, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*j + 142 = 0, 0*x - 5*j = 3*x - 63. Solve 5*q - x = -2*c, -4*q = -12 - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s. Suppose 3*i - 9 = z, -2*i - 3*z = -2*z - 1. Let y(c) = c. Let o(t) = i*k(t) + 11*y(t). Determine o(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 474679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1292 + -1287. What is the biggest value in -8, m, -3\/10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*y - 66. Let d be -1 + -2 - (-3)\/((-6)\/22). Let g be y\/9 - d\/(-21). Sort g, -10, 0 in decreasing order.\nAnswer: 0, g, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20105 + 33.\nAnswer: -20072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1 (b) -0.42 (c) 0.39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4479317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -282*a*o**2 - 2913*a*o - 44*a - 343241*o**2 - 12*o - 2 wrt o.\nAnswer: -564*a - 686482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 3631.\nAnswer: 1\/3631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**3 - 13*f**2 + 10*f - 6. Let v(h) = -2*h**3 - 7*h**2 + 5*h - 3. Let u(p) = 3*b(p) - 5*v(p). Determine u(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12754016*h**2*x**3 - 69720*h*x**3 + 22*x**3 wrt h?\nAnswer: 25508032*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 94848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68325 or 5124296\/75?\nAnswer: 68325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1722 + 854 - 30281*w**2 + 868.\nAnswer: -30281*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -26*m + 27*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 912208.\nAnswer: 2, 11, 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 500 = 4*w, 0*i = 5*w - 5*i - 635. Suppose 0 = n - 4*n + w. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 3:20 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 33 - (26 + 2628\/378)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4456 (b) 1.1 (c) -3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 744\/7 + -106. Which is the third biggest value? (a) n (b) -0.2 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -23. Is -38\/7 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 224 + -155. Let k = 117 - x. Suppose 4*t + 4*v = k, 0*v + 4*v - 12 = 0. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a decade in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*z**3 + 36*z**2 - 96*z - 176.\nAnswer: 4*(z + 2)**2*(5*z - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70*b - 54*b + 110*b + 8)*(-2 + 0 + 3).\nAnswer: -14*b + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0*o - 4*o)*(6*o + 206786*o**2 - 206783*o**2 + 1 + 11*o).\nAnswer: -9*o**3 - 51*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10053.8 or -1?\nAnswer: 10053.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 17, -1, 0?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 23 = -3*d. Suppose -5*m + 39 = -d. Find the common denominator of 49\/11 and ((-320)\/m)\/(-5) + 0.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 794476 is divided by 1746.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/3 - 5*v**2\/2 + 9*v\/2 - 5\/3 = 0 for v.\nAnswer: 1\/2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14588 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1373?\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 278271202\/363*(-6)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**5\/20 - r**3\/3 - 10*r. What is the second derivative of h(a) wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u - 21. Let n(b) = -6*b - 22. Let q(k) = -4*a(k) + 3*n(k). Let s be q(-8). Suppose -s*m = -3 + 5. Which is greater: -2\/17 or m?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*l - 50*l + 165*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*o**3 - 3*o**3 - 6*o**3 + (-4 - 5*o + 4)*(1 + 1 + 0)*(3*o - 2*o - 2*o)*(-6 + 4 - 5)*(-5*o + 5*o + o) to n*o + g*o**3 + c + d*o**2 and give g.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -x - 10. Suppose s - 14 = -2*c, 4*s + 4 = x*c - c. Find the second derivative of -s - 5*r**2 - 4*r - r**2 + 4 wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-23)\/161)\/((-2)\/49). Let p be 0\/3 - -1*4. Is p < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**4\/4 - 31*h**3\/2 + 127*h**2. Differentiate w(u) with respect to u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q. Let a(n) = 43021875*n**2. What is c(a(r))?\nAnswer: 86043750*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 3*f - f)*(2*f + 0 + 0)*(2*f - f + 0*f)*(7*f**2 + 7 - 7).\nAnswer: 28*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -699*k**2 + 534.\nAnswer: -1398*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*n + 31*n + 35. Suppose -n*p = -871 - 364. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5934*z + 314497. Give g(-53).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*(-2*sqrt(960) + sqrt(960)))\/(sqrt(363) + (-3*sqrt(363)*-2 - sqrt(363))))**2.\nAnswer: 320\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -1 - -177) + (-5 - -4). Suppose u - 67 = 4*z. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -467 + 3?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -44, 0, -5, 15\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/100938 and -41\/8?\nAnswer: 403752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -885, -1357, -1829?\n\"Answer: -472*m - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 2830 - 3279 + 6646 - 4*m.\nAnswer: m + 537","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pphp when four letters picked without replacement from {p: 4, h: 10}.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2. Let d = 16 - 15. Let k(t) = -2*t**2. Let r(m) = -22*m**2 + 1. Let v(j) = d*r(j) - 2*k(j). Calculate v(o(i)).\nAnswer: -18*i**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44 and -2.23?\nAnswer: 98.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 4. Let a be l(-8). What is the tens digit of (a + 19 - 0)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/8 + 75*d**2 - 3681*d\/8 + 2781\/4.\nAnswer: 3*(d - 3)**2*(d + 206)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -18. Let g = h - 9. Let u be (-18)\/(-63) - 2\/7. What is the smallest value in u, g, 3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 8*x - 5. Solve -1 = x*l + 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39871\/336 - 834\/7. What is the common denominator of -59\/12 and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + 34*v**2 - 251*v - 286.\nAnswer: -(v - 22)*(v - 13)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86\/(-215) + 0 + 28\/95.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 10 = -2. Let a be x\/(3\/10)*135\/18. Suppose -5*p + a = 4*o - 0*p, 2*p - 2 = 0. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 f when four letters picked without replacement from vvffvfvvfv.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 8*f - 13. Let x be p(-3). Suppose -x*k - 48 = -64. Calculate the least common multiple of k and 68.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -398, -334, -228, -68, 158, 462?\nAnswer: 856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**6\/6 + 2*w**2 + 4. What is the second derivative of p(g) wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**4*r**2 - 3*p**4*r - 98*p**3*r + 5*p**2 + 2*p*r**2 - 8*p*r + r**2 wrt p?\nAnswer: -72*p*r**2 - 72*p*r - 588*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f - 40. Let d be u(31). Let t = 109 + d. Let j(h) be the first derivative of -h**3\/3 + 4*h**2 - 3*h - 1. Determine j(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + r - 3*r)*(3*r - r - 9*r) as l*r + s*r**2 + k and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 106725547 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**5\/20 + 7*f**4\/12 - f**3 + f**2 + f. Let v be y(6). Suppose 2*p - 28 = -v*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + -2*-2*(1 + (-4*sqrt(272) - sqrt(272)))*-3*1)**2.\nAnswer: -2880*sqrt(17) + 979236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.923 to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 - 7*n. Let v(j) = -7*j**2 + 15*j - 1. Let y(g) = -2*v(g) - 5*x(g). Calculate y(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooo. Give prob of sequence oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 348685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 14839*v + 2878763. Determine x(-194).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/72)\/((-3)\/8). Which is the second smallest value? (a) 0.3 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - k**2 + 5. Let b be m(0). Suppose -b*u - 47 + 12 = 0. Let q be (4 - 5)*(-1)\/u. Put 0.1, -2\/11, q in decreasing order.\nAnswer: 0.1, q, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4683, -4719, -4771, -4833, -4899, -4963, -5019, -5061?\n\"Answer: g**3 - 14*g**2 - g - 4669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 10. Let b be ((-6)\/11)\/(-3) - 60\/(-33). Solve -b = a*g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -51*y**2 + 2*y - 2. Calculate k(1).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*(sqrt(204) + ((sqrt(204) - 2*sqrt(204)) + sqrt(204) - sqrt(204)))\/sqrt(4))\/(-5*(sqrt(54)\/sqrt(3))\/sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 3, 154 in ascending order.\nAnswer: -1, 3, 4, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**7\/280 - f**5\/60 + f**3\/6 + f**2. Let d(k) be the first derivative of v(k). What is the second derivative of d(q) wrt q?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 16.\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 230521349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3316 - 23259\/7. What is the common denominator of 34\/11 and j?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 638 * -0.4\nAnswer: -255.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 34*a - 1. Let o be k(-1). Let f = o - -39. Solve 2*m - 4*m + 5*c = 14, 4*m + 2*c = -f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v - 8. Calculate g(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-99)\/(-45)))\/((1183\/676)\/(14\/40))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/40)\/1*1*-4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - x + 172 = 178, 2*o = 5*x - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 61*v**5\/30 + 59*v**4\/12 - 2*v**3\/3 + v**2 + 10*v. Factor t(w).\nAnswer: 2*(w + 1)*(61*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (156*l + 1629 - 1629)*(-13*l - 53 + 53)*(4 - 2 - 1) - 2*l**2 - l**2 + 2*l**2.\nAnswer: -2029*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3536483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 38, 6\/55, -0.5, 439, -0.4, 1?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 8*g - 2*m - 2, 2*m = -4*g - 2. Solve g = 4*v - p - 23, v + 3*p - 37 + 28 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290700 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 4452001?\nAnswer: 4452010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231208.\nAnswer: 2, 28901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7093*d**3 - 92*d**2 - 11*d.\nAnswer: -42558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1708 + 1710 = 0. Solve 10*g + 22 = u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2145*j**3 + 0*j + 4291*j**3 - 2139*j**3 + 0*j.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 205, 375, 835, 1729, 3201, 5395, 8455?\n\"Answer: 24*m**3 + m**2 - m + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -23*d + 3. Let t be y(-4). Let z be (-47 + -1)\/(10\/t). Let k = -85 - z. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/11 (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 93190 - 93190. Factor 3\/2*y**3 + q - 9\/2*y**2 + 5\/2*y + 1\/2*y**4.\nAnswer: y*(y - 1)**2*(y + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464267.\nAnswer: 199, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-5)*(9 - 4). Suppose -v*j = -7*j. Is 6\/5 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -203, -4, 3, 327, -2 in decreasing order.\nAnswer: 327, 3, -2, -4, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**2*x**2 + 451*r**2*x + r**2 - 477*r*x**3 - 2*r + x wrt x.\nAnswer: 2*r**2 - 2862*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494252?\nAnswer: 2, 11, 47, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/33)*b**5 assuming b is positive.\nAnswer: b**(166\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**3 + 9*b**3 - 10*b**3)*(7*b - 7*b + 7*b**2) + (-9*b**3 + 2*b**3 - b**3)*(-3*b**2 - 2*b**2 - 6*b**2).\nAnswer: 46*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.6 + -9.5. Let x = p + -4. Which is the nearest to 0.1? (a) -4 (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 4*r - 69*r = -5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 30 = 5*a, -24*a = -26*a - 3*h + 25. Solve x - 5 = -a*r - 0*r, 10 = -4*r + 2*x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20027.\nAnswer: 7, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -907 + 1610. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, -4, 2\/21, -1, -1.4, -13?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a - 5*a - 22. Let p(z) = -4*z**3 - 2*z**2 + 4*z + 5. Is p(a) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/(28\/294)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -47819, -192519, -434097, -772553, -1207887, -1740099?\n\"Answer: -48439*r**2 + 617*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 294400 rounded to the nearest one thousand?\nAnswer: 294000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 4*c - 2*c)*(2 + 1 - 2)*(-9*c - 35*c + 70*c)*(0*c**2 + 0*c**2 + 2 - 4*c**2).\nAnswer: 208*c**4 - 104*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.1 - -19.1. Which is the closest to j? (a) -4 (b) 3\/2 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*66.2\nAnswer: 6.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*b**2 + 41*b**2 - 257260*b**3.\nAnswer: -257260*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 151*x**2 - 5152*x - 10228411 wrt x.\nAnswer: 302*x - 5152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-8))\/(3\/(-4)). Suppose -14*u = -15*u + 9. Solve 0*s - 3*b = a*s - u, 4*s + 3*b = 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sffh when four letters picked without replacement from fsfhqsqfhfss.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/834288 and 131\/624.\nAnswer: 834288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -20*j**3 + 2*j - 1. Let d be a(-2). Suppose -d = 42*g - 43*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 877 = 583. Let u = g + 145. Put 4, 0, 5, u in decreasing order.\nAnswer: 5, 4, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 559 + -559. Suppose 8*k - 43041 - 5999 = d. What is k rounded to the nearest one hundred?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 + 10111011?\nAnswer: 10101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 49*k**6\/360 - 3*k**4\/4 - 41*k**3\/6 + 46*k. Let o(l) be the second derivative of f(l). What is the derivative of o(d) wrt d?\nAnswer: 98*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r - 3 + 3. Let n(w) = -w + 1. Let b = 4 + -3. Let k(a) = 7*a - 6. Let m(v) = b*k(v) + 6*n(v). Give m(f(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**2*l**4 - 71*i**2 + 7*i*l**4 - 4*l**4 + 3*l**2 wrt l?\nAnswer: -24*i**2*l + 168*i*l - 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6389 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 4 (c) 0.009 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -91*16*20\/(-560). Solve -u*v + 55 + 49 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 48 = -2*r. Factor 5*k**5 - 9*k - r*k**3 + 4*k**4 + k**4 - 3*k**3 - 25*k**2 - k.\nAnswer: 5*k*(k - 2)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-6*1*sqrt(77)*-5)\/((sqrt(343) + sqrt(343)*-1)*-1 + sqrt(343) + -6*sqrt(343)*2))**2.\nAnswer: 3600\/539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51458 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 403679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1724156 - 1861?\nAnswer: -1860.8275844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-145))\/(364\/91))\/((-2)\/20).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 110111000101100100111011 (base 2) to base 13\nAnswer: 2cb7c3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -158*p + 69. Give c(1).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-4) - 0)\/((-15)\/20*7). Which is the third biggest value? (a) 2\/9 (b) 3 (c) n (d) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1720?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 1\/1)\/(-1). Suppose 2 = 2*u, -u = 2*b + 12 + 7. Let k = b + 11. What is the nearest to c in 1\/2, 5, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 16*k**2 + 81*k - 267. Calculate h(7).\nAnswer: 1084","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2279905 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: Suppose -11*i + 5*i + 60 = 0. Let p(a) = -a - 21. Let k be p(0). Let d = -15 - k. What is the lowest common multiple of i and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -74287539299457.\nAnswer: -74287539299457.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -133, -0.5, -9\/10 in decreasing order.\nAnswer: -0.5, -9\/10, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -43. Calculate the highest common divisor of k and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - -68. Suppose 3*r - 27 = -2*n, -6*r - 3 = -n - 4*r. Calculate the greatest common divisor of w and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 77230*b*q**3 + 2*b + 315*q**3 + 289*q wrt b?\nAnswer: 77230*q**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yyyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 106*g - 12176 + 20868 for g.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 3*c - 2*c)*(2 + 1 - 4) - 3*c + 3*c + 3*c + 28*c - 16*c - 11*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*564\/(-141)*(-4)\/(-18).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -55600 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(85)\/sqrt(5) + sqrt(17) + sqrt(17))**2*-3 + -3 + (sqrt(34)\/(sqrt(2) - sqrt(242)) - sqrt(170)\/sqrt(10)*1).\nAnswer: -11*sqrt(17)\/10 + 1374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 3006\/9413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 2*v - 15 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -305158 (base 15) in base 16?\nAnswer: -23060c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + w**2 - w - 19. Let n(l) = l + 10. Calculate 3*c(u) + 5*n(u).\nAnswer: 3*u**3 + 3*u**2 + 2*u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91*h**2*r**3*v**2 + h**2*r**2*v**2 - 2*h**2*r**2*x - h**2 - 14*h*x + 2*r**3*x wrt r?\nAnswer: 546*h**2*v**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/17 (b) -1.6 (c) -2 (d) 2 (e) 4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2931165?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 + 5*a**4 + 0*a**4 + a**4 - 3*a**2 + 3*a**2 + (-4*a**3 + 3*a**3 + 2*a**3)*(-2*a - a + 2*a) - a + a - a**4.\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.2309725 to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vggvg. What is prob of sequence vg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -8. Let h(k) = 56*k. Let o be h(1). Suppose 4*r + o = c*r. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 11*j**2 - 12*j - 40. Give o(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-3 - 4) + 16 + -15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-5) - 966\/30. What is the remainder when 54\/(-36)*o\/3 is divided by ((-2)\/4)\/((-4)\/48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 2)*(-2*w - 2*w + 3*w) + 2 - w - 3 - 3 in the form m*w + a and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/17 in -1\/3, 353, 5, -2, 5\/332, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -142, -1\/3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*w - 18*w - 17*w - 8*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 3. Suppose -5 - 2 = 5*y + 3*j, 4*j - 14 = 5*y. Let c be -3 - -8 - (1 - -1). Let v(u) = -3. Give c*v(f) + y*r(f).\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 10*h - 11. List the prime factors of f(7).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 1 - (73 - (-6 - -63))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/3 + 4*a**3\/3 - 2*a**2 - 16*a\/3 - 8\/3.\nAnswer: 2*(a - 2)*(a + 1)**2*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2188*u**2 - 61*u**3 + 2188*u**2 - 1 as z*u**3 + n*u**2 + h + o*u and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -20571 and -1830855\/89 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0.0879942?\nAnswer: 5.0879942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -14. What is the second smallest value in 0, o, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2, -22.8, 2\/19, 2502?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68976 - 4.\nAnswer: -68980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 348 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clxbbcbbbbbccbgbc. What is prob of sequence lxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-10) - (-93)\/(-15). Let f be 7\/21 + (-10)\/y. Is (-44 + 1)\/(f\/(-10)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248668 and 61824.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**4*p - 26902*h**2*p - 3*h*p + 123*h + 3*p - 6 wrt h.\nAnswer: 12*h**2*p - 53804*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8782*v**2 + 7 - 5 - 2.\nAnswer: 8782*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -35. Solve c + 3*u - 13 = 0, -c + r*c + 5*u = 23 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -1, 3\/5, 0.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 8:02 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 8 + -3 - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 392 and 1624.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wfw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(27) - (sqrt(378)\/sqrt(7))\/sqrt(2))\/(sqrt(162)\/sqrt(2)) + -1)*6)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 179*i**5\/60 + 5*i**4\/24 + 9*i**3\/2 - i**2 - 28*i. What is the second derivative of b(o) wrt o?\nAnswer: 358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36678643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/6816 and -27\/16.\nAnswer: 6816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 1648*h + 169744.\nAnswer: 4*(h + 206)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531835 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -23. Let k be 3\/o - 26\/(-6). Suppose -2*p - 52 = -p + k*q, -3*q = 12. What is p rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -681 - -1006. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*a + 27*a - 28*a**2 as d + w*a**2 + g*a and give w.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 4) to base 11.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stut when four letters picked without replacement from tutst?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11780, -22602, -33424, -44246, -55068?\nAnswer: -65890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 9*u + 1. Let p be (-1)\/(3 + 8\/(-3)). Let s be (-6)\/4 - p\/6. Calculate n(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (12 + 25)) + (-1 - -7).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 52 - (2 + -5 + 5). Let f = a + -22. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 21, 4 in increasing order.\nAnswer: -18, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24865 + -24864.8. Sort z, -2\/77, 1\/4, 2\/11, 2\/27 in descending order.\nAnswer: 1\/4, z, 2\/11, 2\/27, -2\/77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 7) to base 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -4*o + 2, -76*c + 5*o - 16 = -77*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1325 - -9295\/7. What is the third smallest value in l, -0.1, -1, 0.4, 18?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - 2*l - 5 + 5 + l**2. Let h be w(-2). Suppose -x - 2*x + 447 = h. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.423 to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -403311513 (base 6) to base 3\nAnswer: -110221201100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**9\/189 - v**6\/36 - 7*v**3\/6 - 11*v. Let m(y) be the second derivative of c(y). Find the third derivative of m(h) wrt h.\nAnswer: 960*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1222733676?\nAnswer: 2, 3, 19, 113, 47459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 12*s**2 + 10*s - 15*s**2 + 4*s**2 as w*s**2 + y*s + j and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 7:57 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52))**2 + sqrt(13) + -3 - -2*sqrt(39)\/sqrt(3).\nAnswer: 3*sqrt(13) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -g - 13*j, -4*g - 4*j + 40 = 0. Solve -g*x = -4*y - 7 - 4, -3*y + 5*x = 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-seven fifths of a gram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3\/5 + 8*h**2 - 44*h\/5.\nAnswer: 4*h*(h - 1)*(h + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.62314374 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 36475300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3554792677 to the power of 1\/3, to the nearest integer?\nAnswer: 1526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 + 269*v. Let u(i) = 5*i. Give u(q(w)).\nAnswer: 15*w**2 + 1345*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 11482 (b) 2\/17 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24891, -49784, -74677, -99570?\nAnswer: -124463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.71*346\nAnswer: 245.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2998, -12010, -27016, -48004, -74962?\nAnswer: -107878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 4*v + 6. Solve 0 = -v*j - 9 - 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 5, -1, 2\/31, -2 in descending order.\nAnswer: 5, 0.08, 2\/31, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16869, 67721, 152489, 271185, 423821, 610409, 830961, 1085489?\n\"Answer: 2*s**3 + 16946*s**2 - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 3*h + 56 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 48*q - 8 = 51*q, -5*c = 4*q - 36. Suppose 0 = -5*o + 4*n - 25 - 8, -23 = 5*o + n. Put 3, c, o, 0 in descending order.\nAnswer: c, 3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -56, -64, -74, -86, -100?\n\"Answer: -l**2 - 5*l - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4677448*0.03.\nAnswer: -140323.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 3*r + 130, 0 = -2*j - 6220*r + 6221*r - 63 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217.12833 milliseconds to days.\nAnswer: 0.000002513059375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1704 + 5188 = 3*y, y + 5*k - 2340 = 0. Does 25 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-5) - (-24)\/20. Which is bigger: 16 or k?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/171 and (68\/(-51))\/((-1344)\/(-392)*18\/(-8))?\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1241, -27, 1, 5, 0 in decreasing order.\nAnswer: 5, 1, 0, -27, -1241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -15. Let d be (r - -6)*(-4)\/(-3). Solve -m = -3*m - d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/x**(5\/2))\/x))\/((x*(x*x\/(x\/x**(2\/5))*x)\/x*x)\/x))\/(x**1\/(x*x\/(x*(x*x**(2\/9)*x)\/x))) assuming x is positive.\nAnswer: x**(-11\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -14827*c**5\/5 - 14*c**3\/3 - 233*c**2 + 5077. Find the third derivative of n(o) wrt o.\nAnswer: -355848*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62\/3 - -641\/30. Are 0 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 90762243?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkttetuxlextltt. What is prob of picking 1 u, 1 t, 1 l, and 1 x?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 337 - 333. Suppose 0 = h*t - 3*q - 6, -q - 2 = -3*t - 0*t. Solve -21 = 3*r + 3*f, t = r - 4*r - 4*f - 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q - 29. Calculate g(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i**2 - 35*i**2 + 16*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((2 - -2)\/64). Calculate the highest common divisor of r and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 2. Suppose -4*r = -400 + 120. Suppose h - r = -4*h. Calculate the smallest common multiple of h and d(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -3. Let a = -2.4 + 2.9. Sort a, -4, l.\nAnswer: -4, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1027 and 923?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*p - 77769 = -378474 - 266403. What are the prime factors of p?\nAnswer: 2, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = 29*v - 58 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - s + 22. What is the lowest common multiple of l(0) and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from wwzszswxxzwxs?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -56316 and -0.36.\nAnswer: 20273.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -355320 divided by 15\nAnswer: -23688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiiwwwwiiiww. Give prob of picking 2 i.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 10*i - 1. Let o be a(-7). What is the greatest common factor of o and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a millennium?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + c**2 - c. Suppose 4*d = -0*b + 3*b - 15, -3*d - 2*b = -10. Let f be u(d). Suppose f*l = l - 12. Solve -p + l = -5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/9 + 14*p**3\/9 + 8*p**2\/3 - 8*p\/9 - 32\/9.\nAnswer: 2*(p - 1)*(p + 2)**2*(p + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28237 + -28235. Let g = -2 + 3. Sort g, x, -30 in decreasing order.\nAnswer: x, g, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*m**3)*(10 + 2 - 3) + 3*m**3 + m**3 - 3*m**3.\nAnswer: 19*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**3\/3 - 93*z - 39. Calculate the remainder when 108 is divided by u(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*y**4 - 116 + 41*y**4 - 12*y + 116 + 203*y wrt y.\nAnswer: 384*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-16 - -32) + -43?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((26 + 6)\/(8\/(-128)))\/(4\/(-518750)). Round z to the nearest one million.\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (3 + -4 + -4)) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2339*k**2 - 7 + k**3 + 4 + 4.\nAnswer: k**3 + 2339*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25976, 104183, 234522, 416987, 651572, 938271?\n\"Answer: -x**3 + 26072*x**2 - 2*x - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - z**2 - 1. Let m(c) = 3*c**3 - 6*c**2 + 7*c + 13. Let y(u) = -2*l(u) - m(u). Let f be y(6). Solve -f - 1 = 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*k - 6 = 0, -k = -4*z + 2*z + 8. Solve 2 = z*m - 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 3\/5 (b) 0.1 (c) -13 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4689257 is divided by 440.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03256 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 928 - 4897 = 0. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -6*g**3 + g**2 - 3*g - 4. Let o be f(-1). Suppose l = o*l. Solve -u - 3*u - 8 = l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 33\/3) + (6 + -4 - 7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/24)\/((-65)\/156)*63\/(-14)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3718173 is divided by 14815?\nAnswer: 14423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 668.17 and 1709397.\nAnswer: 1710065.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n**2 + n**2 + 2*n**2 in the form z*n + x + f*n**2 and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(56)\/(sqrt(8)*2)))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -17 + -7 + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -257 + 476. List the prime factors of f.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 131 and 23711.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 422*n**2*s - 29904359*n**2 + 6*n*s - 307*s with respect to s.\nAnswer: 422*n**2 + 6*n - 307","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*a - 2*y - 30, -4*a + 89 = -3*y. Put 4, 15, a in increasing order.\nAnswer: 4, 15, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 1566*z = -1565*z - 74, -4*z - 348 = -16*o for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**3\/3 + s. Suppose -3*o + 12 = -3*j, 3*j + 11 + 1 = 2*o. Let n(q) = -q - 1 + 1 + o. Determine n(v(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 10:15 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(24)\/sqrt(8) + 3).\nAnswer: 5*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13456545 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10647 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 68*p - 70*p**2 - 68*p + (p**2 + 2 - 2)*(-3 + 1 + 1) + p + 4*p - 5*p**2 - 4*p.\nAnswer: -76*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Expand (29*z**4 + 36*z**4 - 24*z**4)*(1526 - 1526 - 34*z).\nAnswer: -1394*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (0 - 0) - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31.9047 + -194.9837. Let y = z - -163. Round y to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3.9, -1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 13, 7\/20, 3.\nAnswer: -5, -3, 7\/20, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 18*w - 27. Let y be n(2). Solve -71*c = -3*a - 69*c + 11, 5 = -a + y*c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53*l**6*s**3 + 133*l**6*s + 200*l**2*s + 6*l*s**3 wrt l?\nAnswer: 6360*l**3*s**3 + 15960*l**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -101110011?\nAnswer: 101111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8786?\nAnswer: 2, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11815 = 26*i - 111*i. Which is smaller: -702\/5 or i?\nAnswer: -702\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(114) - (sqrt(114)*4 + sqrt(114) - sqrt(114))))\/sqrt(2)*4)\/((sqrt(3267) - (sqrt(3267)*-4 + sqrt(3267)))*-3).\nAnswer: 2*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -10, -16, -22, -28?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*v + v - 96, 3*k - 80 = v. Suppose 3*i + 20 = k. Solve y = -0 + i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x - 0*x. Differentiate 4*y**3 - 2*y + x*y**3 + 48 - 8 with respect to y.\nAnswer: 12*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -729*z**2 + 1457*z**4 - 1260*z**2 + 101*z**2 wrt z?\nAnswer: 34968*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-9))\/(65593\/(-712) - -92)?\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 4*u - 2. Calculate r(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -11. Solve -6*d - j = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/280 - (-66 + (-11594)\/(-176))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.5 - -5.5. Let d = 12 - x. What is the closest to -2\/3 in -3, -4, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -596b80 (base 12) to base 6.\nAnswer: -50531440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 775 and 2726086525?\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2) + (-30)\/(-20)*9\/(-18))*-204?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98659 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 + -84. Let l(p) = y + 12*p - 4*p - 9*p. Let f be l(-6). What is the greatest common divisor of f and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 3*f)*(-1 + 1 + f**2) + (-2*f + 1 - 1)*(12*f + 5*f**2 - 12*f).\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 1 = -4*o, -3 = 3*n + 5*o - 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -8*p**3 + p**2 + 2*p - 3. Give q(2).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-196)\/(-3087))\/(8\/(-36)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 87206?\nAnswer: 784854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 minus 99004290505?\nAnswer: -99004290528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -19, 5 in ascending order.\nAnswer: -19, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/5 (b) 2 (c) 1\/2 (d) -15 (e) -0.3 (f) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 13*b - 11. Let q be (4900\/(-15))\/(-5) - 2\/(-3). Suppose -64*o + q*o = -24. What is a(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9207, 36810, 82809, 147204, 229995, 331182, 450765?\n\"Answer: 9198*b**2 + 9*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 5\/(10\/6) + 3. Suppose -l = -t - s, l + 6*t - 2*t = -14. Solve 9*h - l - 7 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + d - 2, 4*c - 3*d = 3*c - 2. Calculate the highest common divisor of 2 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 j, and 1 d when four letters picked without replacement from {j: 1, h: 3, d: 1, n: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2)*-1)**2 + 1 + -2*sqrt(19).\nAnswer: -2*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 11*b + 9 - 88 - 9. Let n be x(8). Solve -3*d - 5*r = -1 - n, 3*d = -2*r - 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from {c: 2, m: 3, p: 6, u: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 232950\/(-11610) - -21 - (-24)\/(-27).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*v + 0*v + 6 = 0, -4*v = -4. Let t(i) = -i**2 - 1. Let m be t(1). Sort -6, k, m.\nAnswer: -6, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.1 - -0.1. Let q = -0.13 + -0.21. Let m = 0.06 - q. Which is the third smallest value? (a) w (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/15)\/(4\/6). Let i be ((-44 - 0)\/2)\/p. Is i smaller than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/24 + 15\/4. Let o be 12\/18*a\/4. Factor o*t + 0 + 3\/2*t**2.\nAnswer: t*(3*t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*-2)\/sqrt(6))\/(sqrt(8) - -6*sqrt(72)).\nAnswer: -2*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**4 - 3*n**4 + 2*n**4)*(-6 + 4 + 5) - n**3 + 0*n**4 - n**3 - 2*n**4 + 2*n**4 + 2*n**4 - 9*n**4.\nAnswer: -10*n**4 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*q - 35*q - 24 = 2*h, -34*h - 78 = q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 3*k = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -94*t**2 - 836\/3*t + 12*t**3 + 361 - 1\/3*t**4 = 0.\nAnswer: -3, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f + 0*f - 2*f - 6*f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + ((sqrt(70) + sqrt(70)*1)*4)\/sqrt(10) + -4)**2.\nAnswer: -64*sqrt(7) + 459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*b**3 + 3*b**2 + 64 + 76*b**3 - 2*b**2 + 4*b - 47*b**3 as f*b**2 + r*b + o*b**3 + y and give y.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*o + 84*o - o**2 - 123*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 56, 57, 68, 95, 144?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 - -73. Suppose -2*t = -7*t + q. Solve -2*r - t*z = 18, 1 = -5*r + z - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 286 + -283.632. Let x = h - 2.89. Let c = x - -0.5220418. What is c rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 68667 + -2a7?\nAnswer: 683b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*z + 584 = -2*z, -3*r + 4*z = -435. Let h = 298 - r. Suppose 313 = 6*s - h. What are the prime factors of s?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*sqrt(2736) + (1 + sqrt(2736) + -5)**2 + (-4*-6*(sqrt(2736) + -1 + sqrt(2736)))**2.\nAnswer: -27708*sqrt(19) + 6307072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 greater than or equal to 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -35. Let j(l) = l**3 + 7*l**2 - 5*l + 3. Let b(i) = i**3 + 6*i**2 - 4*i + 4. Let v(r) = 6*b(r) - 5*j(r). What is the units digit of v(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -5\/8*y**4 + 0*y**3 + 0*y + 4 + 0*y**5 + 1\/12*y**6 + y**2. What is b in d(b) = 0?\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 30.4, 3289, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**2 - 6 - 10 - 4*o**3 + 7*o**2 - 2*o**2 + 16*o = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i + 1. Let b be v(-1). Solve 0 = -b*h + 4*h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 + 246 = -96*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + t - t)*(-t**3 + 3*t**3 - t**3).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3869*d + 1288*d + 1287*d + 1291*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + 453281?\nAnswer: 453279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*n**4 - 52*n + 52*n + 188*n**2 - 188*n**2 + 34*n**4 + (4*n**2 - 4*n**2 + 3*n**3)*(2*n + 0*n - 3*n).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1045*b**3 + 2*b**2 - b**2 - 900*b**3 - 3*b**2.\nAnswer: -1945*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 66, -3\/2, -0.32 in increasing order.\nAnswer: -3\/2, -0.32, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*o + 12. Suppose 0 = -2*j - o*u + 2*u + 32, 5*j - 20 = 5*u. Let a be (-2)\/4 + 11\/2. Solve -9 = b + a*m + j, 7 = b - 3*m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.131179 rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25928*j - 12964*j - 12964*j + 136916*j**2.\nAnswer: 136916*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2953 - 37*y**2 - 5909 + 2956. Let k(b) = -30*b. Calculate x(k(l)).\nAnswer: -33300*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 185 = -a + 6*x, 2*a + 5*x = 383. What is the highest common divisor of a and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/4, -1\/5, -2, 1, -63\/26?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 2*k = 15. Let v be (1 - k)*(-38)\/19. Suppose 152 = v*w + 4*h, 4*h - 47 = -2*w + 33. Is w a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1071 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33586275*y - 1943565 wrt y?\nAnswer: 33586275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1 + 3*v**4 - 1 + 18*v**2 - 9*v**4 + 28*v**4 wrt v?\nAnswer: 528*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 5*t - 34 = 0, -105*b + 101*b + 4*t - 8 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1967415652?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1008\/(-324)*(12\/(-28))\/(14\/735)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**3\/9 + 4568*c**2\/9 - 44910890*c\/9 - 44915456\/9 = 0.\nAnswer: -6016, -1, 3733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74175344?\nAnswer: 2, 43, 131, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6725093 or 6725094?\nAnswer: 6725093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 828.59 - 233?\nAnswer: 595.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 135769802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 6*b - 6. Solve -4 = 3*p + b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a89 - 57?\nAnswer: 4a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 2. Let i = -1669\/2317 - -2\/331. Which is smaller: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 7*u**2 + 4*u - 7. What is the tens digit of x(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.7 - -20. Let l = 0.5 + f. Round l to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2442680 is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 193.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*g - 21 = -35*g. Let q(n) = -3*n - 3. What is q(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3203 (base 8) in base 3?\nAnswer: -2021202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6409?\nAnswer: 13, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 19, 94, 0.11, -1\/5, -6, 28 in increasing order.\nAnswer: -6, -5, -1\/5, 0.11, 19, 28, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12392, 11145, 9910, 8693, 7500, 6337?\n\"Answer: y**3 - 1254*y + 13645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -96 + 190 - 32*i + 202. Is 18 a factor of k(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2 - 253334004*k + 8022264697834002 = 0. Calculate k.\nAnswer: 63333501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*h - 6, 32 - 2 = 5*i - h. Suppose 0 = i*p + 11 - 89. Calculate the remainder when p is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g + 38*g**2 - 15324 + 15324 in the form h + n*g + t*g**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -t + 28, 2*i + 0*i + 4*t = 22. Solve -i*u = -0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4258*-1\nAnswer: -4258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 111573 - 55783 - 55790.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z**(-1\/18))))**(1\/11) assuming z is positive.\nAnswer: z**(17\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 5. Suppose 25*g - 30*g = 30. What is w(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -8*r + 24 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 125 and 20493?\nAnswer: 2561625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -365.3 and 137?\nAnswer: -50046.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33567 + -19933. Suppose -3*a + 5*t + 17045 = 2*a, -4*a + 3*t = -m. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3. Let y(n) = -17*n - 80. Let p be y(-5). Let a(r) = 5 - p - 8*r + 4*r. Give a(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2*sqrt(88)*5 - sqrt(88)) + sqrt(88) + (sqrt(88) - 5*(2*sqrt(88) - sqrt(88))))\/((sqrt(240)\/(sqrt(35)\/sqrt(7)))\/sqrt(6)) + 0.\nAnswer: -70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1470, 12653, 43270, 103035, 201662, 348865, 554358?\n\"Answer: 1619*y**3 + 3*y**2 - 159*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3\/144*6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002414 (base 5) to base 6.\nAnswer: 202000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 w when two letters picked without replacement from wxsrarrrwrxr.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1279 - 1279. Which is the closest to 0.1? (a) -1\/2 (b) q (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(20)\/(sqrt(40)\/sqrt(4) + sqrt(10) + sqrt(10))) + sqrt(22)\/sqrt(176) + sqrt(2) + 3 + 1*sqrt(32) + sqrt(32).\nAnswer: 3 + 119*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jijijijjjji. Give prob of picking 2 j.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(4\/(-13)) + 12\/16. Suppose -290 = -2*h + 2*g, 3*h + m*g - 470 = -0*h. What is the highest common divisor of 30 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 269, 866, 2035, 3968, 6857, 10894?\nAnswer: 16271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 5*g = 5666 - 5649, -4*p - 2 = 2*g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 145.219 to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*f**2 - 829*d**2*f + 1061120*d*f**4 + 53*d*f - 2*d - 9*f wrt f.\nAnswer: 2*d**2 + 12733440*d*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -204 in decreasing order.\nAnswer: 3, 2, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -19*t**3 + 2*t + 18. Let i be a(-3). Calculate the highest common divisor of 42 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3255 - 3\nAnswer: 3252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 20, 15737.1?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**7)\/g)\/g*g)\/(g\/(g*g**(3\/7)*g)*g))\/(((g\/g**7)\/g*g)\/g*g*g\/((g**3\/g*g)\/g*g)*g)*(g**(3\/2)\/(g**(-7)*g))\/(g*g**2*g**(4\/5)) assuming g is positive.\nAnswer: g**(289\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103146427?\nAnswer: 53, 1123, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-44)*(6\/15*-5)\/1.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 5*y - 25 = -11*x, 3*y = -2*x - 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -4*r**3\/3 - 3*r**2 - 3*r + 5. What is a(-4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2461*h - 2699*h + 7616 = 0 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40 - 2\/3*z**3 + 32\/3*z**2 + 154\/3*z.\nAnswer: -2*(z - 20)*(z + 1)*(z + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1, -0.02, 0.4, -58\/3, 2, 0.519?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 25532180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -9*k + 8. Let t(q) = -5*q + 4. Let b(p) = -288*p - 23. Let w be b(1). Let l = w + 307. Calculate l*h(a) + 7*t(a).\nAnswer: a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvvfv. What is prob of picking 2 v?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of ((-2754)\/(-486))\/(2\/1116)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(-3) + -4 + 22884\/36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-14) - -1 - 23700\/24332\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3212561309 to the nearest one hundred thousand.\nAnswer: -3212600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 8*j. Let k be i(8). Let f(y) = -y**3 - 2*y**2 + 2*y - 1. Let a be f(-3). Let o = -3 + a. Which is smaller: k or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 2*z - 5*z)*(7*z + 4 - 4 + 1 + 2*z - 1 - 3*z - 3*z + 4*z + (z - 2*z + 0*z)*(1 - 3 + 3))*(-z**2 + 2*z**2 - 2*z**2).\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27896.46541 + -27896. What is d rounded to 3 decimal places?\nAnswer: 0.465","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(-5)\/w)*w*w**1*(w*w**(2\/11)\/w*w)\/(w**7\/w)*(w**(-2)*w)\/w**(4\/9)*w**(-1)\/w*w**(1\/5)\/w assuming w is positive.\nAnswer: w**(-31\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3923, -4, -1, 36 in descending order.\nAnswer: 36, -1, -4, -3923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = o. Let u(f) = -f**3 + 3*f - f**2 + 3*f**2 + o*f**3 - 4*f**2. What is u(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**4\/2 - 2*f. Let k be 760\/2 + (6 - (-4 - -6)). Let l(n) = -192*n + k*n - 2*n**2 - 192*n. What is r(l(y))?\nAnswer: 24*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 2. Suppose -4*z + 3*z = 2. Let s be i(z). Let u be 168\/44 - s\/(-33). Solve -u*f - 2 = -6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrororjjc. What is prob of sequence roro?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1.5 (b) -1\/10 (c) -9 (d) 0.4 (e) 5 (f) -964 (g) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5073.776 micrometers?\nAnswer: 5073776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-10*8\/60)\/((272\/(-12))\/(-2))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -19*j + 231. Is 31 a factor of z(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -365, 10, -5, 1, 5, -2 in descending order.\nAnswer: 10, 5, 1, -1, -2, -5, -365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 2)*(-t + t + t)*(-14 + 0 - 7) + (4 + 1 + 7)*(4*t - 5*t + 2*t) - 1 - 2*t + 1 to f + h*t and give h.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-10)\/(k\/k**(2\/29)))\/(k**0)**(5\/2))**(-2\/143) assuming k is positive.\nAnswer: k**(634\/4147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17361 (base 15) in base 9?\nAnswer: 123811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -88\/43 at most as big as -2.88188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 + (42\/6 - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1013 - -1331110?\nAnswer: 1332123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348812?\nAnswer: 2, 29, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 9) to base 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 94063432 and 17.\nAnswer: 94063449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**12*l*l**10)**33 assuming l is positive.\nAnswer: l**825","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 divided by 70?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 85, 62, 23, -32, -103, -190, -293?\n\"Answer: -8*s**2 + s + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1637, -6090, -13511, -23900, -37257, -53582?\n\"Answer: -1484*r**2 - r - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 356\/(-32)*-2*16. Let k be w\/10 - (-2)\/5. Suppose b + 6 = 8*g - 3*g, 20 = 3*b + 4*g. Calculate the highest common factor of k and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11973 + -143755\/12. Let k = 44501\/22594 + -7\/869. Calculate the common denominator of u and k.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-8)*h)**(3\/19)\/((((h*h*h**15*h)\/h)\/h)\/h**(-12)))**(-7) assuming h is positive.\nAnswer: h**(3850\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -261354617 - -253225.\nAnswer: -261101392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3306911857606943\/27540 + -120076683300. Let x = -2\/6885 + p. Find the common denominator of 43\/87 and x.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4176.031 to zero decimal places.\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j + 266. Let a(k) = -8*k + 266. Give -4*a(s) + 5*z(s).\nAnswer: -3*s + 266","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2379 divided by 793.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/9 - 100\/360\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3347 + 12?\nAnswer: -3335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 y when three letters picked without replacement from tyyyyttuttyyttyudy.\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 6905\/42354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -867 in 0.27, -1\/7, 0.3, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -70*g - 71*g + 222*g - 74*g + 20. What is t(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 792552285*a**2 - 10 + 792552480*a**2.\nAnswer: 195*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 4*j. Let d = 5 - 7. Let g be l(d). Let b(c) = -c**2 + 6*c - 2. What is the remainder when 21 is divided by b(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -179 - -415. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 7*d - 18. Suppose 4*s - d*s - 25 = 0. Which is the second biggest value? (a) 0.1 (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 2:26 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -114*n - 27*n - 95*n as o*n + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - c + 2*c)*(-2*c + 0*c + 4*c) + (c + 8*c - 3*c)*(2*c + 3 - 3).\nAnswer: 22*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1235\/292 + -3\/146. What is the common denominator of o and ((-110)\/(-6))\/(16\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8459.575 micrograms to nanograms.\nAnswer: 8459575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -7. Let k(f) be the second derivative of f**6\/360 + 7*f**5\/120 + f**4\/8 + 7*f**3\/6 - 8*f. Let s(a) be the second derivative of k(a). Determine s(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/20*5\/12. Let q = 257.9 + -258. What is the second biggest value in q, -4, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000721 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**6\/200 - 4*v**5\/5 + 173*v**4\/10 - 528*v**3\/5 - 2*v**2 + 3099*v + 2. Factor p(y).\nAnswer: -3*(y - 6)*(y - 2)*(y + 88)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 336 by -112.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g + 7*g - 176 = 0. Calculate the remainder when g is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 9:34 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaw when three letters picked without replacement from {w: 1, a: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148688126?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*d**3 + 18 + 0 - 194*d**3.\nAnswer: d**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 44 + 3*f - 47 + 2*f + f. Let v(d) = 4*d - 2. What is 7*v(o) - 5*y(o)?\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9528246709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 3*y = 4*j + 2770, -3476 = -5*j + 6*y. Put 0, 1, -6, j, -2 in increasing order.\nAnswer: -6, -2, 0, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 19*l**2. Let h(g) = -8*g**2. Determine a(h(n)).\nAnswer: 1216*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25402997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*u + 5*j, 5*u + 3*j - 30 = 7*j. What are the prime factors of ((-349)\/u)\/(21\/(-42))?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54.7 - 58. Let r = -1.3 - n. Sort -1\/2, 0.1, r in increasing order.\nAnswer: -1\/2, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1249)\/(-12))\/(24\/(-18)). Let l = p - -20105\/144. Let b = 4261\/72 - l. Calculate the common denominator of b and 107\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 806405.603 to the nearest 10000.\nAnswer: 810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*z**3 + 4*z**2 + 263*z**3 - 20*z**2.\nAnswer: -11*z**3 - 16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1388.037 + -1387. Let j = v - 0.037. Let d = 1.66 - 1.46. Which is smaller: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**5\/4 - 601*k**4\/4 - 4853*k**3\/4 - 10191*k**2\/4 - 720*k = 0. Calculate k.\nAnswer: -192, -5, -3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/2 + 14 + 3. Suppose -5*a + f = -8. Suppose x - 10 = -4*g, -a*g + 0*x + 4*x = -23. What is the remainder when 3 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-348)\/(-14) - 12\/(-84). Calculate the greatest common factor of 175 and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y + 12 = 0. Suppose -y = -4*d, -2*l + 3*l = 5*d + 6. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*o**2 - 1153717*j**2 + j*o + 3438002*o**2 wrt o?\nAnswer: 4*j**2 + 6876004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 210 - 210.159. Let f = q - -1.159. Let u be 46\/(-10) + 2\/(-5). Which is the nearest to 1? (a) f (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3) + (-888)\/333?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 255 + -61. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6 = -3*b, 4*b + 7*j - 37 = 2*j. Suppose -15 = -3*v - 2*v, -456 = -b*d - 3*v. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -19 - (-161 - -152)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-10))\/((-4)\/72*3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 1:44 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 269381, 538751, 808121, 1077491, 1346861, 1616231?\n\"Answer: 269370*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 + 2783405.881\nAnswer: 2783404.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 12, a: 3}. Give prob of picking 3 u.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(242)*-1)**2 - (1 + sqrt(18) + ((sqrt(24)*2)\/sqrt(12))**2).\nAnswer: -3*sqrt(2) + 959","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cchcmtchc. What is prob of sequence mth?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*t**4 - 19*t**4 - 114*t**4 + 4*t**4 - t**4 + 0*t**4 + (-2 + t + 2)*(4*t**3 + 2*t**3 - 5*t**3) - 4*t**4 + t + 4*t**4 + 2*t**4.\nAnswer: -118*t**4 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2251 divided by 4.\nAnswer: 2251\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**5 + 177*h**4 + 2649*h**3 + 11235*h**2 + 15246*h + 6480 = 0.\nAnswer: -6, -5, -1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 4. Let r be t*(0 + 3\/(-6)). Let i = -17\/133 + -3\/19. Do i and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 + 3 + 2 - 2) + 6. Suppose -23 + 8 = h*a. Sort -4, 2, a, -2 in increasing order.\nAnswer: a, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 3 + (-3 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.35 - 0.4. Let h = a - 0.55. Let b = -1 - h. Put 2\/3, b, -3 in descending order.\nAnswer: 2\/3, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 337*f**2 - 6*f. Let c(x) = x. Calculate c(j(y)).\nAnswer: 337*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tette. Give prob of picking 2 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(45)*2 + sqrt(5) - sqrt(5)) + sqrt(45)\/sqrt(144))*-5)**2.\nAnswer: 703125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x - 70*x = -22*x + 89*x. Solve x = 6729*o - 6725*o - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 6*sqrt(304) + (sqrt(76) + -1*sqrt(76) + sqrt(19))**2.\nAnswer: 15 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vet when three letters picked without replacement from {y: 2, v: 10, p: 2, t: 1, e: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -37487, -37392, -37117, -36572, -35667, -34312?\n\"Answer: 15*c**3 - 10*c - 37492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 8166629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137 + 414 - 141 - 1247*g + 1250*g - 136.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -10, -13, 40 in increasing order.\nAnswer: -13, -10, 1\/2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j**2 + 10*j**2 + 11*j**2 - 44*j**2 + 10*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(567))*6.\nAnswer: -6 + 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12716496 and 4056?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - n - 84 = -4*q, 4*n + 6*q = 6*q + 15*q + 51 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 4*l + l)*(3 + 1 + 2)*(33*l**4 - 117*l**4 - 7*l**4).\nAnswer: -546*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7256.24 - 7120. Let n = q - 140. Let b = -1.47 - n. Round b to one dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 47 + -1776232?\nAnswer: -1776185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12220 and 9090458?\nAnswer: 90904580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1905\/2520 + (-6)\/8. Let v(n) be the third derivative of 0*n**5 + 0 + 0*n**6 - 1\/105*n**7 + n**2 + 0*n**4 + 0*n**3 + 0*n + h*n**8. Factor v(t).\nAnswer: 2*t**4*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2843 take away -191?\nAnswer: 3034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 171 + -101. Suppose 5*j = 5*g - n, -5*j - 9 = -2*g + 28. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sarrensaasnareren. Give prob of picking 1 a and 3 e.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 49.23411 centuries?\nAnswer: 4.923411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 870 = 222. Which is smaller: l or 183?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9954 is divided by 395.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*i - 89812, -16*v + 14*v + 89810 = 2*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4555\/1042 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -209447 + -7?\nAnswer: -209453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47514*j*s*y**5 + 2*j*s - 8*j*y**3 + 2*j*y**2 - 44*j*y - 2*s*y**2 + 717 wrt y.\nAnswer: 2850840*j*s*y**2 - 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127.1 - 133. Let m = -6 - k. Does -1 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31510619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - m + 31, 10 = 4*m + 30. Let k(q) = -q + 21. Let f be k(x). List the prime factors of f\/(-9) - 121\/(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58817, -58911, -59171, -59681, -60525, -61787, -63551, -65901?\nAnswer: -68921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 4*h = 3*b + 17, 7 = b + 5*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109.25 + -109. Let o = q + -8.25. Let m = 8.212 + o. Round m to two decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -406, -816, -1252, -1726, -2250, -2836?\n\"Answer: -2*m**3 - m**2 - 393*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28573 (base 9) in base 6?\nAnswer: -225533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 89.3 * -1.\nAnswer: -89.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 677*z**2 + 1895*z - 4066. Differentiate d(c) with respect to c.\nAnswer: 1354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 4:30 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.24 - 0.36. Sort -5, 3, k.\nAnswer: -5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04085 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 7 and -0.0573569126.\nAnswer: 6.9426430874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13529122233 - -0.3?\nAnswer: -13529122232.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3179476242 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c - 7. Let m be a(0). Let y be (24\/m)\/(10\/(-35)). Which is smaller: y or 14?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 1. Let x be ((-6594)\/123088)\/((-1)\/(-8)). Put -0.4, -4\/3, x, c in increasing order.\nAnswer: -4\/3, x, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-15) - 15\/25. Suppose u + 5*g + 12 = -3, -4*u + 24 = -g. Solve c*w = w - u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-24)\/(r**1\/r))\/(r**(1\/8))**(-37) assuming r is positive.\nAnswer: r**(-155\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c - c - 12*c**2 + 0*c)*(4*c + 2*c - 3*c) to t*c**3 + v*c**2 + d*c + h and give t.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/103, 2\/7, -2 in ascending order.\nAnswer: -2, 1\/103, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -12 + 9 + (4 - -1). Solve 3*t = z*m + 4, -t + 4*m = 8 + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -586, -585, -578, -565, -546, -521?\nAnswer: -490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585011 is divided by 97225?\nAnswer: 1661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13774 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*c - 10, 5*c + 0*i + 17 = -2*i. Let m be -13 - (-1 - c)\/1. Let f(l) = -3*l - 8. Is f(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/5 and -8\/47.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20778 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 3*f. Let u = -2 - -4. Suppose -u*p + 0*p + 14 = f. Calculate the remainder when p is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -115317794 - -1.8.\nAnswer: -115317792.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - y - 5. Let f be a(0). Let h be -4 - (f\/5)\/(-1). Let s = 21 - h. What is the remainder when s is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 480 and 15.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 11603338?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 4:25 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 353615641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -13*i**3 - 5*i**2 + 10*i. Let q(k) = 20*k**3 + 8*k**2 - 15*k. Let j(u) = 5*q(u) + 8*y(u). Find the second derivative of j(n) wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 124 - 166. Let x = f + 42.3. Sort 0.2, 1\/33, x, -0.5 in descending order.\nAnswer: x, 0.2, 1\/33, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3353*d - 632*d + 7691*d as w*d + p and give w.\nAnswer: 10412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 2, 18, -0.2, -3 in increasing order.\nAnswer: -3, -0.2, 2, 18, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r - 83. What is a(9)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 4*d**5\/5 - 199*d**4\/2 + 106*d**3\/3 - 3*d - 2619. Find the third derivative of i(b) wrt b.\nAnswer: 96*b - 2388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -45117 + 0?\nAnswer: -45117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 62.55 in -0.5, 4\/7, -4, 1299?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -29. Let m be (-2)\/4*(s + -10). Solve -4*h - 3*y + m = 0, 5*h - 5*y = h + 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 24 = d. Is -2*(-12)\/d - (-454 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from vvvvvvvvwwvwwvwvvww.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 - ((4 - 2) + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -288421\nAnswer: 288421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-21 + 22)\/((-1)\/(-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 1:45 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -7*c**3\/3 - 2. Let u(z) = -8*z**2. Let x(t) = 2*t**2 + 11*t - 9. Let k be x(-6). Determine k*u(v) + 4*o(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -s + 22, 5*s + 17 - 127 = 4*d. Calculate the remainder when s is divided by 238\/28 + (-1)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006652308752 rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4.363 - -0.051\nAnswer: 4.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1427*g**2 + 3*g**4 + 630 + 1428*g**2 + 64 to the form k + a*g**2 + u*g + h*g**3 + m*g**4 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 1.4662.\nAnswer: -38.5338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*f - 114*f - 115*f + 450*f - 107*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(-1)\/((((w\/(w*w*w*((w\/w**4)\/w)\/w))\/w*w)\/w)\/(w\/((w*w**0)\/w))) assuming w is positive.\nAnswer: 1\/w","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2149090*f**5 + 1340320*f wrt f.\nAnswer: 42981800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -752, -2, 4 in descending order.\nAnswer: 4, -2, -752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, i: 3, a: 4, n: 4}. What is prob of sequence ifa?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 5) + (-2 - -1) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Let r(v) = v**2 - 42*v - 201. Let i be r(39). Let q = 333 + i. Solve 6*s - 3*s + q = d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4286486324 plus -5?\nAnswer: 4286486319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) 0.2 (b) 0.4 (c) -1\/1841\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*b**2 + 18242334*b - 348990528?\nAnswer: 14*b + 18242334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 23.9, -5, 0, 161, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16209\/15 + (12\/10)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -15. Let u(j) = j + 2*j + 9*j**q - 2*j - 5*j**2. Calculate u(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(152)\/sqrt(392) + -2.\nAnswer: sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 4*p**2 - 2. Let y be w(-3). Let m be (-16)\/40 + (-2)\/(-5). Let r be 3*(1 + m) - -1 - 3. What is the highest common factor of y and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -9*k + 1 + 0*k**2 + 0*k**3 - 9\/2*k**5 + 25\/12*k**4. Find the third derivative of d(m) wrt m.\nAnswer: -540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 + 126 + (94 - 211)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 12 + 13*s + 0*s + 18*s - 38*s + 9*s. Suppose -17 - 23 = 5*o. Give f(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.442789 millennia to centuries.\nAnswer: 4.42789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 5*u = 0. Solve u = 3*t + 12, -5*s + 4*t + 11 = -4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1987213181?\nAnswer: 17, 31, 1087, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6805 is divided by 34?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(5) + sqrt(20) + 1) + sqrt(15)\/(sqrt(363) + (sqrt(363) + (sqrt(363) + sqrt(363)*-2 - sqrt(363)) - sqrt(363) - sqrt(363))).\nAnswer: -199*sqrt(5)\/22 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.374 + 0.026. Let p = 16 - 56. Let h be (48\/p)\/(6\/4). Which is the nearest to -3? (a) m (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 891, 3650, 8249, 14688, 22967, 33086?\n\"Answer: 920*z**2 - z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + b76?\nAnswer: b6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5344550 (base 6) in base 9?\nAnswer: -440523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5292\/10143)\/(10\/23)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06298211693 to five dps.\nAnswer: -0.06298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1323*q**3 + 1156*q**3 - 4330*q**3 + 1526*q**3.\nAnswer: -325*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 337638.7 kilograms to micrograms.\nAnswer: 337638700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, p: 3, w: 5}. What is prob of picking 2 c and 1 w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4277 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -32852970.193 less than 0.02?\nAnswer: 32852970.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 15) in base 13?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 i when three letters picked without replacement from {i: 1, g: 1, e: 2, m: 4}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 165 - 1813\/11. What is the third biggest value in l, -2\/21, 3, 4\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 5*p - 25, 5*t - t - 5*p = 25 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*(-3 + sqrt(28)\/sqrt(4) - sqrt(7) - 1*(-2 + sqrt(7))) + 0)**2.\nAnswer: 8*sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1425892*o**4 - 7*o**2 - 85*o - 79482.\nAnswer: 17110704*o**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e + 283?\nAnswer: 2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from lwdgbggvlvlgvgg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**3 + 2 + 22*a - 70*a + 22*a + 21*a - 22*a**4 + a**2 as s*a**3 + w*a**2 + o*a + x + u*a**4 and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 9*u = 105 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10362799 divided by -83.\nAnswer: -124853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-1 - (-16)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 30321 (base 4) to base 13\nAnswer: 4b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1100) + sqrt(1100) + 0 + sqrt(1100) + 5)*6 + (-5 + sqrt(1100)*1 - (sqrt(1100) + -1 + 0)))**2.\nAnswer: 7920*sqrt(11) + 356884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-30))\/c**(-39\/4) assuming c is positive.\nAnswer: c**(163\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83357206?\nAnswer: 2, 59, 706417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10088.38123332 - -10188.491. Let h = z + 0.88996732. Let q = h - 101. Round q to five dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-nine sixths of a week?\nAnswer: 1372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8177\/4172 + -10\/149. Find the common denominator of o and 95\/62.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**4 - 13*h**3 - 59*h**2 + 197*h + 450. Let b(g) = -3*g**4 + 12*g**3 + 60*g**2 - 198*g - 450. Let k(r) = 2*b(r) + 3*m(r). Factor k(j).\nAnswer: 3*(j - 5)**2*(j + 2)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2 + 7*v**3 + 19 - v**2 - 12*v - 5*v. Let g(f) = 3*f**3 - f**2 - 8*f + 8. Let o(z) = 5*g(z) - 2*s(z). Let d be o(4). Are -2 and d non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((0 - -3)\/(63\/(-14) + 2))\/((-1017)\/22035)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-18)\/x**(-23))**(-2\/13) assuming x is positive.\nAnswer: x**(-10\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wew when three letters picked without replacement from weeeeeeeeeeweeeeeee?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -116.486 and 1.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176 = 42*q + 118 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/((-15)\/(-27)) - 3. Let a(s) = 4*s**2 - 21*s - 13. Let d be a(o). Solve 4*j = -j + d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*2\/(8\/6). Let y be (-1 - 1\/(s\/(-9))) + -30. Sort -1, -2, y in descending order.\nAnswer: -1, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714483 divided by -64953?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4246 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 9:35 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 291613052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, 2, -0.04, -4, -3\/5, -96 in decreasing order.\nAnswer: 2, -0.04, -3\/5, -5\/6, -4, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2985 - -2980 - (-3 - (-4 - (-4 + 7 + -32))).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120021210 - 0?\nAnswer: 120021210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1951253, -1951246, -1951249, -1951268, -1951309?\nAnswer: -1951378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/12 + (0 - 8\/(-48))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 5:04 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/60135976 and 149\/1232856.\nAnswer: 541223784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 6\/13, -4, -2235?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113 + -195. Let b = 2 - 5. Let u be k\/b + (-3)\/9. Solve 2 = 5*g + u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -29*y**2 + 4*y + 5. Let v(a) = -15*a**2 + 2*a + 3. Calculate -3*j(f) + 5*v(f).\nAnswer: 12*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1628960 and 8800?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 14*n + 78. Suppose -2*k - l + 6*l - 20 = 0, 4*k = -2*l - 16. Is z(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3027.4 * 5396\nAnswer: 16335850.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 503128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*a = 561 + 578. Suppose 8 = 4*t, 0*c + t - 14 = -3*c. Suppose c*z = 3*z + 68. What is the highest common divisor of a and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(0 - (-9)\/(-42)). Let t = 31 + x. Solve -j + 8 = t*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264 + 67 - 3*n**2 + 69 + 64 + 64.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28833?\nAnswer: 3, 7, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**3 - 6*n**3 - 54*n**2 - 198*n - 126*n - 419 - 229 = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -233230032101 (base 4) in base 10?\nAnswer: -12501905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9771\/1886 + -217\/46. Let n = 1194\/2665 - c. Which is smaller: -0.1 or n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546 is divided by 64?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1708, -7040, -15992, -28558, -44732, -64508?\nAnswer: -87880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -15*d**3 - 70*d**2 + 11*d - 11. Let w(o) = 3*o**3 + 14*o**2 - 2*o + 2. Calculate 2*j(a) + 11*w(a).\nAnswer: 3*a**3 + 14*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*q + 10 = 0, -q + 0 - 1 = c. Let s = -50 + 52. Let a be s\/8*(1 - 12\/4). What is the closest to c in a, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 + 2)*1 + 6. Let g(a) = -7*a**3 + 2*a**2 - 2*a + 1. Determine g(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oehehhih. What is prob of picking 1 i and 1 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, f: 1, o: 1, v: 3}. Give prob of picking 3 r and 1 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*o = -154*o - 840. Calculate the remainder when o is divided by 56.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by 9654?\nAnswer: -25\/4827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 2, 0.09, -5, 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - 2 = -11*c + q, -2*q = -5*c + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*t**2 + 61 + 8*t**2 - 6*t**3 - t**3 + 2*t**3 + t**3 to the form p*t**3 + l*t + b + q*t**2 and give b.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a day in minutes?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + 4 + -1*sqrt(2057)*-3)*-6.\nAnswer: -198*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 4:08 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.0982 + -0.0982. Sort -0.3, -3\/8, o, 0.5.\nAnswer: -3\/8, -0.3, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxhx when four letters picked without replacement from hxxmhxxmxmhhxxhhxh.\nAnswer: 49\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 469*g**2. Let y(h) be the first derivative of -2*h**3\/3 + 45. What is p(y(l))?\nAnswer: 1876*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/(-285)*5\/(-6)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -54. Sort -0.1, -4, m, 5.\nAnswer: m, -4, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 2*m - 0*u, 0 = -2*m - 2*u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 5 (c) 12\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104*r**3 + 4*r**2 + 43*r**3 + 151*r**3 + 19543 + 56*r**3 - 19541 to the form b*r**2 + m*r + k*r**3 + j and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -5, -3\/5, -1.41, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4*4.236\nAnswer: -16.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 2. Let t = d + -3. Sort t, -1\/5, 0.5 in descending order.\nAnswer: t, 0.5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -13*t**2 - 7*t. Let r be b(-3). Let l be 1\/(-8) + (-76)\/r. Find k such that -l*k**2 + 8\/3*k - 8\/3 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1122213323 (base 4) to base 9\nAnswer: -625158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 31\/4, 15\/4, 0.1, 2, 3?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 70 - 112 = 0. Let o(r) = r**2 + 9*r - 14. What is the lowest common multiple of 11 and o(n)?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-4)*(-792)\/891. What is the third biggest value in m, -1.6, 0, 1\/10, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v - 52. Let t be u(-24). Suppose 278 = 14*h + t. Suppose -30 = 4*g - 6*g. What is the highest common factor of h and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/4 - (-1111622)\/68. Let d = q - 16342. What is the common denominator of -127\/6 and d?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*r**3 + 146*r**3 + 123*r**3 + 80*r**3.\nAnswer: 491*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -43*p**6\/120 - 31*p**5\/60 + 77*p**2 - 2. What is the third derivative of u(w) wrt w?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1223042*d*r**2*w**2 - 2*d*r*w - 3*d*w**2 - d*w + 271*r*w**2 wrt r.\nAnswer: -2446084*d*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 88\/(-6) - 1\/3. Let d = 36 - 15. Let x = n + d. Is x less than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - z**2)*(0*z - 4*z + 2*z) + (4*z**2 + 0 + 0)*(-1321 - 44*z + 1321).\nAnswer: -174*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-7) + -4 - -4. What is the second derivative of 1281*v - 42*v**g - 1372*v - 38*v**2 wrt v?\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i\/((i\/(i\/(i*(((i*i**(-3\/5))\/i)\/i)\/i))*i)\/i*i))\/i)\/i*i)\/i**(-3\/5))**(-45)\/((i**(-3)*i)**(3\/11))**(-5) assuming i is positive.\nAnswer: i**(-1119\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39\/94 - -2309\/1034. What is the common denominator of c and ((-4)\/(-4))\/(1\/13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/114 - (-50181)\/(-7391)) + (-12 - 0) + 1\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 36. Sort -2, o, 15 in increasing order.\nAnswer: o, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*g**4\/8 + 11766595*g**3\/8 + 1176658*g**2 + 470663*g\/2 = 0. Calculate g.\nAnswer: -470663, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 6 - 0. Suppose 10 = -2*q + 4*l - 3*l, 0 = 5*q + l + 11. What is the units digit of (q - j)*6\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -688*k**3 - 394*k**2 wrt k?\nAnswer: -4128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 10, -0.2, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/16 and (-157)\/(-32) - (-16 + 20).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -558*w + 557*w - 11, 3*r + 3*w = 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3177 - 3?\nAnswer: 3174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 2*a**2 + 15*a + 7. Let f be v(-5). Solve -f*z = -0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 15 + 6 = 0. Solve -2*h = -n + c*n + 6, n = 4*h - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 21, 61, 139, 267, 457, 721?\nAnswer: 1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10138*r - 10137*r - 91 + 3)*(7*r**3 - 2*r**3 + r**3).\nAnswer: 6*r**4 - 528*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 370 = -2*l. Is l a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c. Let o be q(-2). Suppose -h + o = -3*y + h, -3*h = 4*y - 3. Differentiate z + 0*z + 1 + y*z + 2*z wrt z.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1744 - -1747. Solve d*y = -7*y - 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 - 76. Suppose 2*g - 426 = -0*g - p, 828 = v*g - 4*p. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 f when three letters picked without replacement from {f: 3, x: 4, o: 1}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -261 + 263. Factor -28*k - 13*k + 2*k**l + 200 - 9*k + 10*k.\nAnswer: 2*(k - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h - 4. Let a be k(2). Suppose a*q = 2*q - 76. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 14*y**2 - 15*y + 13. Let v(k) = -k**3 + 4*k**2 - 3*k - 3. Let q be v(4). Let u be ((-20)\/6)\/(5\/q). List the prime factors of n(u).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 131, 159, 211, 293?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n - n - n + 14 - 3*n. Let d be q(-10). Solve d*z + 10 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -12. Suppose 2*v - n*o + 1 + 8 = 0, -5*v - 3*o = -9. Solve v = -h + 4*h + 9, -3*t = 5*h + 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*p + 12 = -57*p. Suppose -4718 = -p*t + 2134. Let f = t + -11477\/5. Find the common denominator of 77\/2 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 4:47 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -31, -99, -225, -427, -723, -1131?\nAnswer: -1669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + l**2)*(0 - 3*l + 0)*(l - 4 + 4).\nAnswer: -3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 3. Let f be o(13). Let c(k) be the first derivative of 2*k**2 - 11*k + 10*k + 3 + f*k. Let q(w) = -2*w - 4. Determine 3*c(t) + 7*q(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/3)\/(16\/(-120)). Suppose 6*z + 12 = 2*z. Suppose 13*s - 12*s + 4 = 0. Put s, o, z in increasing order.\nAnswer: o, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -187 and -0.3951.\nAnswer: -187.3951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2.6. Let r = 1326 + -1325. Which is the biggest value? (a) r (b) z (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 4:29 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16450 is divided by 5281.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 5*k**2 + 7*k - 2. Let t be j(6). Let d be 10\/14 + t\/14. What is the closest to 1\/4 in 4, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3\/7 + 539106*j**2\/7 + 36379225872*j\/7 + 6711718546720\/7 = 0. What is j?\nAnswer: -134684, -185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(5\/4)*a)\/(a*a**2)*((a*a*a**(4\/3)\/a*a*a)\/a)**(-3\/40) assuming a is positive.\nAnswer: a**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/9*(-216)\/792?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -57*x**2 + 6*x - 217. Let m(a) = 114*a**2 - 14*a + 434. Let u(b) = 3*m(b) + 7*v(b). What is the first derivative of u(o) wrt o?\nAnswer: -114*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w + 1. Let s be ((-18)\/(-24))\/(2\/(-32)). Let v = s - -13. What is the units digit of i(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r**2 + 19*r**2 - 44*r**2 + 4*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.35 - 4.3\nAnswer: -4.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 3. Suppose 2*a = w + 14, 2*a + a - 20 = w. Calculate b(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/3)\/(8\/108). Suppose 5*r + 5*v - l = 0, r + 10 - 22 = -2*v. What is the remainder when (18\/(-27))\/(r\/(-261)) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-124)\/((-5456)\/330)*(2\/5)\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 92.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1008)*4)**2 + (sqrt(847) - -3*(sqrt(847) + 2*sqrt(847)))**2.\nAnswer: 229852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*z = 69*z + 38. What is the greatest common divisor of z and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/(sqrt(90)\/sqrt(10)*2))\/(sqrt(144) + 2*sqrt(144)*1).\nAnswer: sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-5*(-3*(sqrt(1008) + 2)*-5 - ((sqrt(1008) + 0)*2 + (sqrt(1008) + -1)*-1)))**2.\nAnswer: 6090000*sqrt(7) + 124005625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8\/315 + -347\/1260. Sort 1\/41, 0.1, o in ascending order.\nAnswer: o, 1\/41, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 148\/(-370)*(-130)\/(-4). Let x(r) = 11*r + 158. Let k = 4 - 3. Calculate the lowest common multiple of x(q) and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-15) + 26\/10. What is the derivative of f*p**2 - 3*p**2 + 12 + p**4 - 4*p**4 wrt p?\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + 6. What is the hundreds digit of 886\/7 + y\/70?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99 + 99. Let a(n) = -7*n + 303. What is the units digit of a(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -206, -396, -582, -752, -894, -996, -1046?\n\"Answer: 2*c**3 - 10*c**2 - 174*c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53500 + 61?\nAnswer: 53561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(0 - 3)\/3. Find the second derivative of -b*x**3 + 1087*x + 32 - 1086*x + 2*x**3 - 36*x**5 wrt x.\nAnswer: -720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 12 - 0. Let l(u) = u**2 + 2*u. Let n be l(-4). Let d = w + n. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 5:03 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 5:24 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**4\/12 - 2*p**3\/3 + p**2\/2 - 2*p. Let y(h) = 3*h - 6 - 2*h + 2. Let s be y(0). Give v(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**3 + 51*q**2 - 174*q + 120 = 0 for q.\nAnswer: -20, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17\/39 - -3\/13. Let o(g) = 11*g - 136. Let i be o(12). What is the closest to p in 0.4, 17, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9819 + (-3)\/5 + 13 + 469\/(-35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 0*h**2 + 8 - 2\/3*h**3 + 9*h. What is the first derivative of c(f) wrt f?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -20*u - 172. Let d be n(-9). Let v(l) = 2*l - 2. What is v(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 28 + 46 = 0. Suppose -4*b - 4310 = -5*i, -3*i + 2586 = -6*b + o*b. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 17. Let h be (5 - 5)\/(m + 3). Suppose x - 3*x + 20 = h. What is the least common multiple of x and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-106*a + 15*a + 2 + 38*a).\nAnswer: 106*a - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**2 - 8*p**2 + 6*p**2)*(440*p - 39*p**2 - 440*p) + p**2 + 0*p**2 + 0*p**2 - p**4 to the form y*p**3 + r + s*p**4 + n*p + t*p**2 and give s.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 1463*k - 232. Is q(21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73*(70 - 139)\/69?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 5, -1\/8, -0.088, -0.08?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3283934?\nAnswer: 2, 179, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 260618217689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y = 11*y - 150. Let l(t) = 16*t**2 - 7*t - 22. What is the units digit of l(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-five halves of a hour?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + -1. Let s(k) = k + 5. Let l be s(t). Let p(y) = -3 - 584*y + 0 + 582*y. Calculate p(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 + 33 = -20*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 5*z + 26. Calculate r(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 177 or 412445\/2348?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1810, -15 in decreasing order.\nAnswer: 1810, 5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8a40 (base 14) to base 13\nAnswer: -aba9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 4, 25, 41, -10 in descending order.\nAnswer: 41, 25, 4, 2, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 40*p**2 + 118*p - 7058. Give n(39).\nAnswer: -935","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 979.2703 centimeters?\nAnswer: 9792.703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 9*q + 9. Let x = -9 - -14. Does 27 divide g(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 503094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 1003958\nAnswer: -4015832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 7*p**2\/2 - 3. Let h(g) be the first derivative of g**3\/3 - 99. Determine u(h(l)).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 - 7*m + 101*m - 6*m - 88*m + 20*m**3.\nAnswer: 22*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 20 = -4*o - j, -o - 4 = -2*j. What is the units digit of 56\/o*(-30)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18638326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 299 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/25 - (-2)\/(-10). Let n(m) = -m**3 + 0*m**2 + 2*m**3 + m**2 - m + 96. Let x be n(q). Calculate the greatest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 313 = 3*r, -3*r + 143 = c + c. Calculate the smallest common multiple of 1 and (-6)\/27 - c\/(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(80)\/sqrt(8)))\/(sqrt(22)\/(sqrt(11)*-1)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/2*12\/(-20). Suppose d + p*d = 44. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 0*f + 2*f)*(-3 + 1 + 5).\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 - 0.508035?\nAnswer: -80.508035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 7 - 4\/3*d**3 + 0*d**2 + 4*d. Factor u(b).\nAnswer: -4*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 + 71*m + 198*m - 2 + 58*m.\nAnswer: -4*m**2 + 327*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -151318 * -31.\nAnswer: 4690858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 380352 and 12?\nAnswer: 380352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-1*sqrt(152) - sqrt(152))\/(sqrt(32)*-1 + sqrt(8))*-3)**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**2*p*v**2 - 2580757*a**2*v**2 - 2699*a*p*v**2 + 244*p*v**2 + 5*p*v wrt a?\nAnswer: 8*p*v**2 - 5161514*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 35. Suppose 4*s - 32 = -4*x, -3*s + o = -2*s + 4*x. Solve 2*a + 15 = s*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 236913, 236980, 237095, 237264, 237493, 237788, 238155, 238600?\nAnswer: 239129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a year?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**6\/1080 + v**5\/360 - 2*v**3\/3 + 5*v**2. Let z(m) be the first derivative of j(m). Solve z(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, -1\/4, -4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((25\/625)\/(24\/200))\/((340\/(-24))\/(-17))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 14) to base 8.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j + 1. Let t(h) = h. Let r(k) = 3*t(k) + z(k). Let v = -16 - -20. What is the remainder when r(-2) is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**3\/3 - 69*c**2\/2 + 13*c. Let b(p) = -p + 35. Let y(t) = 11*b(t) + 6*i(t). Differentiate y(o) wrt o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1131303120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**5 + 165*n**4 + 549*n**3 + 729128*n**2 wrt n?\nAnswer: 60*n**2 + 3960*n + 3294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1244, -7, -5, 3 in ascending order.\nAnswer: -7, -5, 0, 3, 1244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3 - 9*x**2 - 25*x**2 - 135*x**2 + 178*x**2 + 6.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1833584902?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*d - 1206. Calculate the remainder when d is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 9:15 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 170, 382, 680, 1064, 1534?\nAnswer: 2090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 30. Let u = -29 + -10. Let i = u - -74. Calculate the greatest common divisor of i and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 359853 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -118.8 in 2, -1, -2\/7, -21.51?\nAnswer: -21.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - x - 4 + 1 = 2, -5*x - 49 = 60*a - 8*x + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 177092055.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 164*z - 28. Let b be j(-2). Let o = b - -1683. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 32 = -3*d. Let f = -20 - d. Sort -2, 5, f in ascending order.\nAnswer: f, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/50 or -1915?\nAnswer: -1915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 12 (b) 11 (c) 4 (d) -3171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 5*o - 4 - 1, 0 = -3*o - 3. Let a(i) be the second derivative of 0*i**4 - 3\/20*i**5 + d*i**2 + 3*i + 0*i**3 + 0. Find y, given that a(y) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 104\/(-18) - 6\/27. Let x be ((-3)\/9)\/(2\/6). Put 5, s, x in descending order.\nAnswer: 5, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (-7)\/(21\/(-6)). Let d = 16 + i. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmmmrmmmppmm. Give prob of sequence mrmm.\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/10)\/((-4)\/10)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 66*1*20\/5. Let u = -173 + s. Suppose -4*p - 3*z + 109 = 0, -3*p - p + 3*z = -u. What is the remainder when p is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9746 divided by 1?\nAnswer: 9746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 90\/(-9*2\/(-12)). Let m = -33 + a. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*x + 43 + 201 + 277 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 13*o + 122. Let u be h(-9). Find t such that 1\/4*t**3 + 0*t - 1\/2*t**4 + 0*t**2 + 0 + 1\/4*t**u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/4 + a**3\/2 - 3*a**2\/4 - 2*a - 1.\nAnswer: (a - 2)*(a + 1)**2*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 625110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7392 is divided by 145?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*v**4 - 11*v**3 + 2*v**2 - 64*v - 4.\nAnswer: 120*v - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 + 1.94. Let h = -2.6 + j. Let o = h + 0.5. What is o rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2134.23 rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 144, 3, -3, -4, -2, -65011, 5 in descending order.\nAnswer: 144, 5, 3, -2, -3, -4, -65011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2594, 5224, 7858, 10496, 13138, 15784, 18434?\nAnswer: 21088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 790 - 894. Let s(y) = -18*y - 328. Let a be s(-18). Which is smaller: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10469653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 1*(sqrt(44)\/sqrt(4))**2 + sqrt(11) + -5.\nAnswer: 6 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-105690834.\nAnswer: 317072502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 204821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74.3 + 60.5. Let s = v + 13.8629. What is s rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 122 - 215. Let q = 147 - d. Suppose -5*l + 13*l - q = 0. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2404 - 2405. Is 1\/696 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 0. Let o be 4\/(-4) + 3 + 3. Suppose 0 = -4*v + 4, -o*l + 0*v + 154 = -v. Calculate the lowest common multiple of f and l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4430070 and 129240?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 262, -241, 0.1, 2\/9, 0.3.\nAnswer: -241, 0.1, 2\/9, 0.3, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) 0 (c) 2 (d) 361 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-177*n**2 - 1664*n**2 - 448*n**2 - 255*n**2)*(-n + 3 - 3) as w + z*n**3 + p*n + y*n**2 and give z.\nAnswer: 2544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*y + 5262 - 17138 = 5470. Calculate the least common multiple of y and 48.\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*((-32)\/(-176))\/(((-20)\/55)\/(-4))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5 - 5 + 137*t**3 + 3*t**5 - 6 - 135*t**3 + 1480*t**2 - 338*t**4 + 17 wrt t?\nAnswer: 180*t**2 - 8112*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + 4)*(-17)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20 - (-22 + 18)) + (-5 - -10)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 432\/270*(-1275)\/3468?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*j, -2*z + 14*j - 18*j = 26. Let x be (-1)\/(0 - (-1)\/3). Let i = x - z. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 7:54 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2696 and 215680?\nAnswer: 215680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303 + 4043 = -193*x - 892 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1241541 (base 6) in base 7?\nAnswer: -401464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is bdca2 (base 15) in base 4?\nAnswer: 2103113102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 34143553226784\nAnswer: -34143553226784.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 82574 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.847 - -0.847. Let r(q) = -q**2 - 22*q - 1. Let o be r(-22). What is the nearest to -2\/7 in o, d, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*w = -25, -2*z - 2*w + 104 = 0. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 4*g - 6. Let o be n(6). Suppose o*b = b + 40. Solve b = 3*w + w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 526566399, 526566401, 526566407, 526566417, 526566431, 526566449, 526566471?\nAnswer: 526566497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14335046569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i + 2*i)*((2 + 1 - 2)*(-3*i + 2*i + 4*i) + 2*i + 0*i - 4*i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1)\/((-2)\/(-8)) - (0 + -523)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**7\/210 - q**6\/15 + 4*q**5\/15 - 5*q**3\/2 + q - 3. Let a(o) be the second derivative of s(o). Find h such that a(h) = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -22*t**2 + 1. Let p(d) = -7*d - 13 - 22*d + 35*d - d + 32. Give c(p(m)).\nAnswer: -550*m**2 - 4180*m - 7941","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10922283 a multiple of 453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4534*a = 111517 + 59136 - 38393 + 26430 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -288 (c) -0.4 (d) 2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45084773 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(1 + 0)*3. Suppose -r*m + m = -6. What is the remainder when (-138)\/12*3348\/(-1426) is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146574971 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (29\/(-7))\/(7\/(-49)). Let f(k) = k**2 + k + 2. Let q be f(0). Let l = n + q. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -1 - f**2 + 2*f - 2*f - 2*f. Suppose -3*o + z = 7, -2*z + 70 = 2*o + 72. Calculate j(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -23, -41, -65?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12496*h**5 - 6336*h**2 - 11?\nAnswer: -749760*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.276357 rounded to 3 decimal places?\nAnswer: 0.276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 88070 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8056812 by -4.\nAnswer: -2014203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 145\/30 + 3 + 34\/(-12). Solve 2*o = -3*t - 5, -5*t + q*o - 26 - 24 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 246412.\nAnswer: 985648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3*w + 4*w)*(333783*w - 2*w**4 + 1782 - 333783*w).\nAnswer: -6*w**5 + 5346*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**5 + v**5 - 4*v**5)*(3 - 4 - 1) - 3*v**5 + 6*v**5 + 0*v**5 + (-2*v**3 - v**3 + 4*v**3)*(-9 + 9 - 6*v**2).\nAnswer: -5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 26 = -8*g + 3*x - 1, 3*g = 5*x - 47 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -524001 divided by 317.\nAnswer: -1653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 6, 2354, -1\/3, -3\/4, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*(2\/8 + 2520\/(-6624))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 0*y**5 + 2\/21*y**7 - 1\/6*y**3 + 2*y + 0*y**4 + 0*y**2 + 0*y**6 + 0. Find the second derivative of z(k) wrt k.\nAnswer: 80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106 - -38. Let v be ((-7)\/14 - -5)\/((-2)\/(-8)). What is the highest common factor of j and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 300 = -4*v + 29*v - 1221 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 - f + f)*(189*f**2 + 92*f**2 + 98*f**2) to the form g*f**3 + v*f + i*f**2 + u*f**4 + n and give u.\nAnswer: -758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -296*q - 13. Let y(a) = -a + 1. Let g(t) = -o(t) - 6*y(t). Let r be g(6). Suppose 0 = 5*z - r + 694. What is the greatest common divisor of 25 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 239 + 2.38\nAnswer: 241.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4296912 is divided by 306919.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 = 4*h + 2*l, 5*h = -3*l + 7. Solve -4*y = -m + 13, 1 = y + h*m + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0*((-1)\/((-10)\/35) - 3))\/2. Let j(a) be the third derivative of i + 0*a + 0*a**3 + 0*a**4 - 7\/60*a**5 + 7*a**2. Let b(d) = -2*d. Calculate b(j(h)).\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/967 - 955\/2901. Let m = 5.3 - 5. Which is the third biggest value? (a) m (b) -3\/2 (c) g (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + u**2 - u - 3. Let c = 11 - 8. Let f be d(c). Let j = -16 + f. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/24912163?\nAnswer: -2\/24912163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8509242 a multiple of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 118127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98 (base 14) to base 3.\nAnswer: 11222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5805 + -152.\nAnswer: 5653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -389?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 9. Which is smaller: 7 or a?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.407 or 1?\nAnswer: 1.407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.38907 to 2 decimal places.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 - -91 - (-6 - (2 - 2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*z - 29. Let n be ((-10)\/8)\/(z\/(-32)). Is 5 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3543 by 914.\nAnswer: -3543\/914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**2 + 185 - 185.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*g - 138. List the prime factors of g.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 808.\nAnswer: 3\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25321011 or -25321014?\nAnswer: -25321014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -586 + 615. Put -2\/11, 2\/13, k in descending order.\nAnswer: k, 2\/13, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -11\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 104967 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 + 30076?\nAnswer: 30076.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - w + w)*(-2 + 1 + 3)*(3*w**2 + 4*w**2 - 4*w**2) as m + h*w**2 + a*w**3 + o*w and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26344103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3254, 6489, 9710, 12911, 16086?\nAnswer: 19229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*x - 162, -u = -4*x + 68 + 48. Suppose 25 = 5*t + 5*w, -w - x = -5*t - 5. Suppose t*a = a + 80. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.99 and 4908899.\nAnswer: 4859810.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s. Let x(v) = 3*v - 6. Let i = -19 - -26. Let d be 4 - i - (-3)\/(-2)*2. Let f(a) = -a - 1. Let u(p) = d*f(p) + x(p). Determine u(m(k)).\nAnswer: 36*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-16) - 150\/(-8). Let j = 13 - v. Let a(m) = m**3 + 6*m**2 + 2*m + 10. Let w be a(j). Is w > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4*(0 + sqrt(7)) + sqrt(7)))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 0 - -5)*2. Suppose z*s = -2*d + 8 - 0, 5*d - 16 = -3*s. Factor 2*t**5 - 2 - 2*t**2 - 8*t - 2*t**d + 2*t + 6*t**4 - 18*t**3 + 22*t**3.\nAnswer: 2*(t - 1)*(t + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-7\/3)*x)\/x)**6*x**(2\/43)*x**(-2) assuming x is positive.\nAnswer: x**(-686\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (9 - 3) - (-12 + 7 - 42)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-32)*d*d*d**(-3\/19)\/d*(d\/d**(1\/3))**47 assuming d is positive.\nAnswer: d**(10\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 431899595 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/6 and 61\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 + 1)*(-4*o - o + 2*o) + 0 + 0 + 3*o)*(-1047 + 323*o + 1047).\nAnswer: -969*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1225 - 1219.31. Let n = w - -0.21. Let g = 1.9 - n. What is the second smallest value in -9, g, -3\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1098\/(-3660))\/((-9)\/(-25)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/4 and ((-3)\/34*-2)\/(5\/45).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 8*p - 4*p. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, y: 5}. What is prob of picking 4 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k*t**2*y + 14766*k*t*y + 3*k*t + t**2*y - 3*t*y - 2*t - 262 wrt k.\nAnswer: -2*t**2*y + 14766*t*y + 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-11)*(-14)\/(-35))\/(84\/(-35)).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -10*u**2 - 5*u - 7. Let g(b) = -b**2 - b - 1. What is 6*g(a) - m(a)?\nAnswer: 4*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and (3 - (-2 - -2))*(-2)\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76176 by 368.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + 2*t**2 + 3*t**2)*(3*t**2 + 21*t**2 + 100*t**2).\nAnswer: 124*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 922, 1940, 2958?\n\"Answer: 1018*q - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 - 1. Let l be q(-2). Suppose l*v - 2*v - 10 = 0. Suppose -8 = -0*i + v*i. Let x(r) = r**2 + 3*r + 6. Give x(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -195494 or -195492?\nAnswer: -195492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5437, -21741, -48917, -86965, -135885, -195677?\nAnswer: -266341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150, -334, -534, -756, -1006, -1290, -1614, -1984?\nAnswer: -2406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - v**3 - 4 + (2 - 3*v**3 - 2)*(4 - 4 + 4) - 2 + 2 - 3*v**3 as i*v**3 + t*v + b*v**2 + l and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -108, 2, -2\/7, 3\/7, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*-1*1*2\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -13 (c) -118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.14151883 and -2.\nAnswer: -1.85848117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 110500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143467, 287014, 430639, 574342, 718123, 861982, 1005919?\nAnswer: 1149934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/5880 and -139\/1764.\nAnswer: 17640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96 + 96061*f + 96067*f + 96061*f - 288191*f.\nAnswer: -2*f + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*((g**18\/g)\/g)\/g*(g*g\/(g**(-2)*g)*g)\/g*(g**17)**(-9\/4) assuming g is positive.\nAnswer: g**(-77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**7\/840 + c**6\/180 + c**5\/60 - c**4\/12 + 41*c**3\/6 + 37*c**2. Let o(s) be the first derivative of b(s). Calculate o(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 744790127, 744790125, 744790123, 744790121, 744790119, 744790117?\n\"Answer: -2*x + 744790129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -2, 3 in decreasing order.\nAnswer: 3, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11295 - -23887. Does 39 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 150, -73, 17, -2 in descending order.\nAnswer: 150, 17, -2, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 8*b + 5. Let m(z) be the third derivative of -z**5\/60 - 2*z**2 + 3. Determine m(k(w)).\nAnswer: -64*w**2 - 80*w - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + x + 2*p + 222, -4*x - 5*p - 207 = 0. Let i = x - -108. What is the common denominator of (-29)\/(-5) + 1\/(-2) and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.709147 + 59236505.\nAnswer: 59236506.709147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8*1065\nAnswer: 8520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + 11. Suppose r = l - 5, -4*l + 22 + k = r. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3, -19\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/444 and -43\/10194.\nAnswer: 754356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2332340 is divided by 1166152?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 2010?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.042, 39, 1?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.51377 + -0.06823. Let r = y - -1.672. What is r rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 19*g + 472. Give f(-13).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-156)\/(((-9)\/(-12))\/(-1)). Suppose 2 = 5*o - 3, -3*o + s = 5*t. Calculate the least common multiple of 3 and t.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (9 + -15 + 6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-171 + d - 217 + 534)*(0*d - d - 5*d) to the form a + x*d + j*d**2 and give x.\nAnswer: -876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 6:06 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1126 or -34936\/31?\nAnswer: -1126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71.421 - -25.433. Let q = f + 46. Round q to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**4*x + 701743*k**3*x - 2*k**2*x - k*x + 2*k + 68*x - 16 wrt k?\nAnswer: -12*k**2*x + 4210458*k*x - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -3) + -1 + -14. Let x be 54\/j*2\/3. Let p be (8 - 2 - 0)*-1. Put p, x, -1 in increasing order.\nAnswer: p, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3574220929 to the power of 1\/2, to the nearest integer?\nAnswer: 59785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by -6.\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 224\/(-14700) + (46\/42 - 1). Which is the closest to -1? (a) k (b) 12 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1853 + 1858. Let o = 0.6 - 0.3. Which is the smallest value? (a) v (b) 3\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1346120753?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/121, -27, -277?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {e: 1, j: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**5\/60 + q**4\/24 - q**3 - 137*q**2\/2 - 23*q - 2. Let h(m) be the first derivative of a(m). Factor h(i).\nAnswer: (i - 2)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-26)*(-7384)\/426?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 22*t + 7. What is p(23)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1073, -2161, -3269, -4397?\n\"Answer: -10*q**2 - 1058*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1359, -5385, -12107, -21537, -33687?\nAnswer: -48569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12812 (base 10) in base 12?\nAnswer: 74b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1918 + 149?\nAnswer: 2067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 + -2. Suppose 5*t + 5 = 5*j, 4*j - 5*j = t - 7. Let k be (-17)\/35 - 4\/(-14). Which is the second biggest value? (a) k (b) r (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31074874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 73009.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 87 = -12*b + 6*b, 5*b = 2*x + 69 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 751981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16770\/60 - (-3)\/2. Suppose 286*g - 670 = s*g. Calculate the highest common factor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/6*(31\/6 + -5). Which is the biggest value? (a) u (b) -2\/3 (c) 2 (d) -68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100101001110001011011111 (base 2) to base 13\nAnswer: 203831a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 3*l - 5*l - 4*l + 14*l to n*l + b and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 1320.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/5 (b) 3 (c) -33 (d) -6.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -81, 5 in decreasing order.\nAnswer: 5, 1, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 163565001857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -16\/3*x**3 + 121\/60*x**6 + 0 + 59*x**2 - 11\/10*x**5 - 6*x**4 + 0*x. Factor v(d).\nAnswer: 2*(d - 1)*(11*d + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 30122954*j. Let b(l) = -32*l. Determine b(v(x)).\nAnswer: -963934528*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 10:44 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -25.4?\nAnswer: -1.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o + 12. Let h(q) = 4*q + 9. Let u(p) = 4*h(p) - 3*t(p). Let n(a) = 3*a - 32. What is u(n(j))?\nAnswer: 3*j - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 6, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 60 = 4*i + 2*s, 2*i - s = 132. Calculate the remainder when i is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6258674 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.81106 - -0.81. What is p rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1363\/3164 - 1\/452. Sort 2, -1\/4, -0.2, 6\/13, x in ascending order.\nAnswer: -1\/4, -0.2, x, 6\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_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 the highest common factor of 441478 and 4757?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**3 + 2*c**3 + 20*c**3)*(124 + 7*c - 100 - 2*c).\nAnswer: 90*c**4 + 432*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 5*m**2 + 27*m - 37. Is l(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 4*l + 4*l)*(0 - 3 + 2)*(-19 - 18 - 9).\nAnswer: -46*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 22367, 3, -2825 in descending order.\nAnswer: 22367, 3, -2825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7))**(1\/8) assuming m is positive.\nAnswer: m**(1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 399940125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 620.22 from 306.\nAnswer: -314.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 9*j**2 - 4*j + 34. Let b be c(-8). Solve b*q + 21 - 15 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1046 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*q = -3489, 174*i - 5*q = 178*i - 13865. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/10488 and 17\/106812.\nAnswer: 4058856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.7 - 3.7072. What is t rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101 - 20200210122212?\nAnswer: -20200210120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -44287 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2464 + 693*a + 1978*a - 2460 + 4924.\nAnswer: 2671*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/5, -575, 1\/56, -746?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - 4 + 4)*(8 - 1 + 3) + 0*l**3 + 3*l**3 - 4*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**3 + 837*t - 23*t**3 + 41*t**3 - 27*t**3 to m*t**2 + n*t + h*t**3 + x and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3023 = 147*k - 1387 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*(sqrt(198)\/(sqrt(6) + (sqrt(6) - (-2*sqrt(6)*1 + sqrt(6)))))\/(-1*sqrt(176) + sqrt(121)\/(-1*sqrt(11)) + sqrt(11)))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddckddcdjjdwcdxd. What is prob of picking 3 d and 1 j?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 327626?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*(sqrt(432) - (2 + sqrt(432) + 2*sqrt(432))).\nAnswer: -24*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2081, 4310, 6539?\n\"Answer: 2229*i - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 52*n**2 + 49 + 529*n**2.\nAnswer: 581*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 56001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.725635 to two dps.\nAnswer: -24.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 30 = 4*j + 5*z, -5*j + 24 = 2*z. Calculate the remainder when (11917\/(-34))\/(1\/j*-2) is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*f + 3*f + 16 - 13*f)*(-47 + 18 - 17).\nAnswer: 46*f - 736","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-7 - -3) - (89 + -74).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 3:06 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 212*u - 2598. Give l(12).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149378 is divided by 387.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-7) - (-1182)\/21. Suppose -y = 4*b - 212. Calculate the highest common factor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0892 less than 0.25?\nAnswer: 0.3392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 11:10 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 136243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5\/2 + 87305*p**4 + 7624781725*p**3\/2 + 114312801750*p**2 + 857198711250*p.\nAnswer: p*(p + 15)**2*(p + 87290)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 1.5, 5, 0.3.\nAnswer: 0.3, 3\/5, 1.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2120 + -10?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*p + 11, -10 - 96 = -5*v + 2*p. Let n = -13 + v. Let l(a) = -a - 2. Calculate l(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/9 + 2 + 4\/2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3208310477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1019025 - 628025. What is d rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1028686 is divided by 20170.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 51 - 11)*(-2*a**2 + a**2 + 2*a**2).\nAnswer: 63*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 321422331 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1264*j**3*p**2 + 2*j**3 + 700*j*p wrt p.\nAnswer: 2528*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48285?\nAnswer: 3, 5, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/49*(-42)\/18)\/(6\/33).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2132 is divided by 307?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c - 3. Let t be v(3). Suppose -t = -2*u - 0*u. Calculate the highest common divisor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -315 + 318. Solve 5*b = d*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 7. Suppose u = y - 2*k, -4*k = 2*y - 6*k - 6. Suppose 7 = 3*r + 5*q, 0 = -3*r + y*q - 5*q + 15. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 - 4*h**3 + 7*h**3 + h**2 + (-31*h**2 - 54*h**2 + 13*h**2)*(3 + 2*h - 3).\nAnswer: -141*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/11))**(-1\/33) assuming w is positive.\nAnswer: w**(2\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1077 is divided by 118.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/39)\/(4\/(-6)). Let k = -0.2 + 0.7. Let r = -207775 - -207776. What is the smallest value in k, r, m, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5*19*2\/16 and (-3)\/(-6) - (-122)\/(-24).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*k**4 + 0*k**2 - 4*k**2 + 2*k**3 + 5*k**2 to u*k + m + o*k**2 + j*k**4 + i*k**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 8.4, -4, -1672, -1\/11, -5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-1))\/3 - -4. Suppose k + c*k = 30. Suppose k*s - 3*s - 36 = 0. What is the remainder when s is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 3. Let g be b(-22). Suppose 2*d = -3*p + 743, 7*p + d = 3*p + 989. What is the highest common factor of p and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 2:19 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23929.1 + -23908.2. Let w be -2 - (2 + 0)\/(-2). Which is smaller: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2569574?\nAnswer: 2, 7, 29, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 3781.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 3*r**2 + 14*r - 12. Suppose 8 = 2*c + 2*y, 5*c - 3*y = 45 - 17. Let x be a(c). Solve -5*h = -7*h - x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13250 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1361, -1364, -1367, -1370, -1373?\nAnswer: -1376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5 - 10. Let k(h) = -5276*h**3 + 15*h**2 - 4*h + 6*h - 2*h + 5264*h**3. Let r(x) = -x**3 + x**2. Give n*r(y) + k(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (50 - 156 + 64)*(-7*v + 3*v + 2*v)*(-1 - 1 + 7 + (-4 + 6 - 1)*(-1 + 1 - 1)) to the form g*v + u and give g.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 159191644?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/3 - 2525319*m - 7575956\/3 = 0. What is m?\nAnswer: -7575956, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -533 + 792. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(3\/(-6))*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157635 divided by -5.\nAnswer: -31527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j + 16. Let r be p(-8). Is r > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.2 - 367542\nAnswer: -367545.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*r + 2*g, 0 = -r - g + 6*g + 15. Let y be (4 + (-45)\/10)*r. What is the remainder when 53 is divided by (-2)\/((-4)\/22) - y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -94*i - 3332. Determine y(-35).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123210 is divided by 697?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 3346\/13 (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5810*x**2 + 266*x + 3. Let h(d) = -23*d**2 - 20*d**2 - d + 60*d**2 - 18*d**2. Let g(a) = 2*h(a) + o(a). Factor g(t).\nAnswer: 3*(44*t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02 and 2574.\nAnswer: 2573.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -0.06 (c) -0.13 (d) 0.1 (e) 28\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3418854862 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-6 + 11) + 7)*1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340143 (base 5) to base 13.\nAnswer: 5572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 395543370 to the nearest integer?\nAnswer: 19888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/6*(-3)\/(-2). Solve 2*d - 4 = t*q, -q = d - 0*d - 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1647156 and 18?\nAnswer: 4941468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 5. Let j(p) = p**2 + 5*p - 1. Let s be j(k). Suppose s*w = -4*m + 22, -6*w + 2*w + 3*m - 1 = 0. What is the lowest common multiple of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7*10\/245)\/(-1*35\/(-49))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 5455\/1704 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5416?\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17821 + 17821.20013. Let y = m - 0.2. What is y rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2352 and 280.\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + sqrt(192)*-5*-2 - ((-3*sqrt(192))**2*2 + sqrt(192) + 0)).\nAnswer: -3452 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*i + 5*t - 26, t - 32 = -5*i. What are the prime factors of 1\/1*294\/i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102120120200 - 10?\nAnswer: 102120120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 190007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*a = -750, 4*s + 0*s = -4*a + 600. Calculate the highest common divisor of 330 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**4\/4 - 5*c**3\/2 - 13*c**2\/4 + 15*c - 9 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 140, 217, 306, 413, 544?\nAnswer: 705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, 0.3608, 1.1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 + 6*a + 3. Suppose 4*b = 2*b - 4. What is the least common multiple of t(-2) and (-1*1)\/(b\/8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288, 308, 328, 348, 368, 388?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 229 = -209 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, v: 4, t: 1, x: 5, w: 3, g: 1}. Give prob of picking 1 g, 2 w, and 1 x.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011010101111001110 - 100?\nAnswer: -111011010101111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 35\/14 - (-4)\/(-8). Let m(n) = -3*n**2 - n. Determine m(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9782 and 2278.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 405794148 a multiple of 1734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 871 + -869. Which is the third smallest value? (a) h (b) -229 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 676*c**5 - 393*c wrt c?\nAnswer: 13520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8 + 0 = 0. Which is the closest to 1? (a) 1 (b) -1\/6 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -251 (base 6) in base 9?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 32895820 = -3075820. What is f rounded to the nearest 100000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 45 = -14*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2 - 1)\/3)\/1. Let s be (l*(6 - 0))\/(-1). Suppose s*k = 4*k + 28. What is the remainder when 27 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(34)\/sqrt(2) + 1 + 5.\nAnswer: sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)\/(sqrt(7)*1) + sqrt(21))\/(4*sqrt(112)))**2 + (sqrt(3) + sqrt(147)*2 - (4 + sqrt(6)\/sqrt(2))).\nAnswer: -253\/64 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*n + 78*n - 129470. What is the greatest common divisor of n and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308)\/(sqrt(14)\/sqrt(2) - sqrt(7) - sqrt(7)))\/(sqrt(4)*1*1).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16009460 + 6809460. Round f to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -36177, -143890, -323121, -573864, -896113, -1289862?\n\"Answer: p**3 - 35765*p**2 - 425*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 76966752853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z**2 + 312*z - 153*z + 7 - 158*z.\nAnswer: 10*z**2 + z + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-47)\/44 + 4\/(-22). Let o = 0.03735 + 0.26265. Which is the nearest to -1? (a) o (b) 0 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 2551, 6667, 12443, 19885, 28999?\nAnswer: 39791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16864 is divided by 105.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -15990?\nAnswer: -15990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 - 4*o - 13*o + 22*o with respect to o.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -d + 28. Let j be (-2 + 0 - 3)\/1. Let g(b) = 3*b**2 - 3*b + 6. Let k be g(j). What is the greatest common factor of d and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -177, -434, -677, -900, -1097, -1262?\n\"Answer: f**3 + f**2 - 267*f + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.789 rounded to 1 decimal place?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j = -29*j - 2*l + 3350, -3*j - 4*l + 5029 = 0. What are the prime factors of j?\nAnswer: 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -11*r**2 + 29*r + 14. Let f be j(3). Let p(q) = -7*q + 2*q + 2 + 4*q + 2*q**2. Is 2 a factor of p(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(18) + (sqrt(18) - 2*sqrt(18)))\/sqrt(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1171 - 359. What is the remainder when m is divided by 91?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -51111*t**2 - t + 2. Suppose -w = -4*y + 3*w + 4, 5*y + 4*w = 23. Let u be a(y). What is u rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*s - 9, 0 = 2*s + 4*y + 25 - 9. Let t be 2*(1 - 5\/s). What is the highest common divisor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 965*r - 7 + 3 + 2.\nAnswer: 965*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*q + 78, q = 1 - 6. Suppose 0 = 4*a + 2*y + 6, a + a - 9 = 3*y. Let n = a + p. What is the remainder when 67 is divided by n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Let t(r) = 72*r + 2. Let y(p) = -6*f(p) + t(p). Let l(q) = -q. Calculate l(y(h)).\nAnswer: -66*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 86867407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 319151121*i**2 + 20294369*i wrt i.\nAnswer: 638302242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1568 and 79911209?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6*(-2 + -10). Let y(l) = -3 + 4*l**2 - 3*l**2 + 7*l + 1. Let b be y(u). Calculate the greatest common factor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 2*n - n)*(0 + 1 - 2) + (-1 - 6 - 1)*(4*n + 4*n - 10*n).\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + d**2 - 3. Let i be u(0). Let l(h) be the third derivative of h**5\/60 + h**4\/8 - 41*h**2 - 2. What is l(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3)*-1 + sqrt(1008) + -2 + sqrt(1008) + sqrt(1008))**2 + -5.\nAnswer: -140*sqrt(7) + 8574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1598, -985, -372?\n\"Answer: 613*f - 2211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5679.2 - 50\nAnswer: 5629.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - -1 - (-305 - -300).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.1 - 2.4. Let o = 0.8 - b. Let k = o - 0.1. What is the closest to -2\/3 in k, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inbi when four letters picked without replacement from {b: 1, i: 2, x: 1, n: 4, y: 7}.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -2. Let h = 73 + -955\/13. Sort -0.4, w, h in ascending order.\nAnswer: w, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 3, s: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82)\/(-5)*(-755)\/302 + 16.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.15 - 19.15. Let k = 11.4 + 7.4. Let v = q + k. Which is bigger: v or -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-55)\/(-44)) - (-264)\/5. Calculate the highest common factor of 52 and g.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*s + 118*s - 59*s - 220*s - 286*s in the form w*s + r and give w.\nAnswer: -499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + (-5 + sqrt(252) + -1 + sqrt(252))**2)*5.\nAnswer: -690*sqrt(7) + 5220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*n - 75, -14*q + 2*n = -18*q + 60. What is the remainder when 622 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a - 11. Let s(z) = -1. Let v(x) = j(x) + 6*s(x). Let p be v(17). Suppose -p = -f + 68. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -7*y + 4. Let s(j) = -2*j - 65. What is b(s(f))?\nAnswer: 14*f + 459","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-52)\/(-6))\/((-12)\/(-18)). What is the greatest common factor of 117 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 161 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -9 - (1399 + -1429)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.439 + 292.959. What is k rounded to the nearest ten?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2816 is divided by 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 5*b - 28 + 8, -5*q - 3*b = 31 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 530 + -528. Which is the nearest to j? (a) 28 (b) 0.2 (c) 0 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, a: 11, w: 1, k: 3}. Give prob of picking 1 a and 1 w.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/108? (a) -3 (b) -5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 64339, 1\/3, -0.03, -7?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2928\/(-40))\/((-6)\/20)*1 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -5*f - 19 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 205598*r**3 - 146268*r**2?\nAnswer: 1233588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3\/2 + 33*z**2 - 1041*z\/2 - 553 = 0. What is z?\nAnswer: -79, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 8*n - 288 = 0. Suppose 3 = 5*k - n. Calculate the smallest common multiple of k and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108 - 4302*a**3 - 171 - 1310*a**2 + 32 + 31 wrt a.\nAnswer: -25812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 150 = -180. Suppose n - 8*t = -3*t - 21, -5*n = -3*t - 5. Suppose o - 110 = -n*o. Calculate the lowest common multiple of v and o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*d + 5*b - 29, -5*d + 3*b + 119 = 0. Which is smaller: d or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305, -594, -863, -1106, -1317, -1490, -1619?\nAnswer: -1698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 108 = j. Let v = j + -94. Solve 3*o - z = 2*z + 27, -v*o - z + 15 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1124, 2172, 3220, 4268, 5316?\nAnswer: 6364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 462227 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 7*m - 6. Let p be a(6). Let t(g) = g**3 - g**2 - g + 9. Let o be t(p). Solve -w - f = -0*w + o, 0 = 3*w - 5*f - 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18347123, 73388511, 165124157, 293554061, 458678223?\nAnswer: 660496643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.3? (a) -1 (b) -3\/5 (c) -2\/5 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + 3*h + 23*h - 12*h + 38. Is y(8) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*x + 10, 3*y + 5*x - 8 + 0 = 0. Let m be y\/(5\/1300)*260. What is m rounded to the nearest 1000?\nAnswer: 68000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrr. What is prob of sequence rr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2582490480.\nAnswer: 2, 3, 5, 37, 290821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**3 - 2*j**3 - 5*j**3)*(0 + 0 - j**2) + 12*j**5 - 2*j**5 + j**5.\nAnswer: 12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.025*-4.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164672987?\nAnswer: 5801, 28387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1746416 divided by 16?\nAnswer: -109151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 + -7. Let b = x + -45. Suppose 2*o + 202 = 3*f, -b*o - 18 + 318 = 4*f. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/24)\/(q**(-16)\/q*q)*(q*q*(q*q\/q**17)\/q*q*q*q)**(-1))**(3\/10) assuming q is positive.\nAnswer: q**(649\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.009 + -10.809. What is q rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -537384 divided by -7.\nAnswer: 537384\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 488133 + 795.98?\nAnswer: 488928.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 21*t**2 + t. List the prime factors of o(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 50420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -38020 - 2?\nAnswer: -38022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -110169*a + 2533845. Calculate h(23).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 12:48 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(0 - (-4)\/(-1)). Let d = 410 - 346. What is the highest common factor of d and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1157 is divided by 134?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -114, 1\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3674050 (base 8) to base 9\nAnswer: -1814604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12154 is divided by 49?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1124305 and 3177.\nAnswer: 10118745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 3, 5, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1982817\/116 + 1\/(4*-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42126)\/3186 + (-4)\/(-18)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -0.5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-2) - (-1 - 1). Let s(m) = 1 - 1 + p*m + 0. Let z(g) be the first derivative of -g**3 - 1. Calculate s(z(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/130*338\/52*14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -9*y - 14. Let h be (-3)\/18 - 458\/(-12). Let m = h - 43. Let r be l(m). What is the greatest common factor of 31 and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1536009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4 + 95*y**3 - 1882*y**2 + 9348*y - 7560 = 0.\nAnswer: 1, 6, 18, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((((sqrt(18) + sqrt(2))*2 - sqrt(2)) + 4)**2 - (sqrt(2) + 0 + 1 + sqrt(2) + -4)).\nAnswer: 324*sqrt(2) + 702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 3*n = -6*h, 5*h + n = 0. Suppose 16*p - 80 + h = 0. Solve 0*t = p*t + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/270 - 56\/(-30). Suppose 5*r + i - d*i = 10, -4*r + 7 = -i. Which is the closest to -3? (a) r (b) 0.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-210)\/8))\/(26\/65)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -127 - -52. Let i = t + 105. What is the closest to 0 in i, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*q = 65, -2*q - 2*q = -5*y + 105. Let w = y + 14. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.02 - 8. Let p = 1.5 - 1.82. Let z = d + p. Round z to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 388 = -2*h, 2*h = 3*s - 579 + 223. Let v = h + 189. Solve 36 = v*n + 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*w = -4*s - 74, 3*w = -6. Let d = s - -18. Let l = -3 - -6. Solve 2*u - b = -d + l, u = 5*b - 22 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dppd when four letters picked without replacement from jbdpbdbdgbbggpb?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1335200 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.06+-984\nAnswer: -984.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*o + a - 0*a, 2*o = 5*a - 16. Suppose o*m - 110 = -3*m. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/126 + 176*(-14)\/(-5880)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-4) + 3\/12 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55223 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 10*x**2 + 11*x + 74. What is the tens digit of f(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*((-378)\/(-18))\/(-189). Solve -42*d - 92 + 260 = s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 4\/4)*-1. Suppose 24 = r*j - 6*j. Let y(l) = l**3 + 9*l**2 + 7*l - 5. Let o be y(j). Solve 0 = 4*m + 5*z + 2, o*m + 3*z - 1 = -2*z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 2*f + 3*d + 28, f - 6 = -2*d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*c**3 - 24*c + 681888 + 27*c - 681888.\nAnswer: -19*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6 - 15 - 5 - 9 + 14*i. Calculate the remainder when 111 is divided by g(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129284279?\nAnswer: 129284279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 36321221 (base 7) in base 13?\nAnswer: 89225c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 9 = 3*v, 4*j = v - 5 - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 25. Suppose -w = p*w. Suppose 7*s - 2*s - 25 = w. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 70?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8063 divided by 65.\nAnswer: -8063\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8310 + 5439. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-196)*(-284)\/426.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (72\/20)\/((-15)\/(-50)). Let a be (46038\/8)\/((-18)\/w). Let x = 76611\/20 + a. What is the common denominator of 29\/38 and x?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 158 = -5*k, -2*k - 4*x + 81 = 25. Solve -m - 15*m - k = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 59.7, -2, 1, -4, -7, -1\/6, 244?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.047 + -0.147. Which is the second smallest value? (a) g (b) 13 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-9) - (-1)\/(-3). Let t be 0 - (0 - -1)\/q. What is the units digit of -2*(0 - (t + 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/105 - (-20)\/(-21).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -212*m**5\/5 + 10184*m**4\/5 - 111896*m**3\/5 - 250192*m**2\/5 - 24580*m + 1000 = 0. Calculate m.\nAnswer: -1, 2\/53, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2182 + 2631 - 1241)*(0*v + v + v)*(-16*v + 19*v + 23*v).\nAnswer: -41184*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 - 3)*(-2*n + 2*n - n)*(-12 + 9 - 13) as m + k*n and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 2*m - 110, 0*w = -4*w - 4*m + 120. Find the third derivative of 9*q**5 + 4*q**5 + w*q**2 - 2*q**5 + 2*q**5 wrt q.\nAnswer: 780*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15048 and 4095450.\nAnswer: 180199800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*b + 5 = 144*b, -3*f + 83246 = -2*b. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 14*u = 21. Calculate the remainder when u\/(-42) + 254\/12 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 5*q**2\/2 + 10*q + 359. Give z(-9).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) - (sqrt(544) + (sqrt(544) - sqrt(544)*2) + sqrt(544)) - sqrt(34))\/(sqrt(2)*-2*1).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/12)\/(1\/(-3)). Suppose -5*j + 4*u + 20 = u, 29 = 4*j - t*u. Let h = j - -1. Solve 5*p + 3 = -h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 179883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(-2)\/(-4)*6\/9. Suppose p - n = -4*n + 2, -3*p + 4*n + 6 = i. Find the second derivative of -26*b + 37*b**3 - 12*b**3 - 2*b**2 + p*b**2 wrt b.\nAnswer: 150*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3253903379 is divided by 195?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l - 1. Let t be r(-1). Let k = t + -2. Suppose -2*f + 3*f - 31 = k. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*k**3*l**6 + 14*k**3*l**2 + 31*k**2*l**2 + 96*k*l**6 wrt l.\nAnswer: -3600*k**3*l**3 + 11520*k*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 43835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*a**2*t**4 + 14*a**2*t**3 + 6*a**2 - 2*a*t**2 + 1 wrt t.\nAnswer: 576*a**2*t + 84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -4, 3, 1\/8, -0.1, -0.181?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.64?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/68)\/3*4\/(-6). Are -1 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**3 - 1668*x**2 - 656*x - 4085. Calculate k(334).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/19 (b) 18.81 (c) 0.215\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1908464797*v - 71*v**3 + 1908464797*v.\nAnswer: -71*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14414 is divided by 52.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 2, 5, -0.2, 0.1, 51.\nAnswer: -51, -0.2, 0.1, 2, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62425 and 3041800.\nAnswer: 33459800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -41, -68, -95, -122?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3. Let c be z(1). Suppose -4*g = c - 9. Suppose 0 = 5*f - 44 + 14. Calculate the lowest common multiple of g and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**3 - 5*p**3 - p**3)*(-1 - 3 + 6)*(-74 + 74 + 28*p)*(-5*p + 2*p + 5*p).\nAnswer: -112*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1771120 or -1771119?\nAnswer: -1771119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 60, 113, 166, 219?\n\"Answer: 53*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -230987320 divided by 23098732?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1701 and 895482.\nAnswer: 8059338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**15\/(((a*a*a\/((a**(-3\/7)\/a)\/a))\/a)\/a*a)*(a\/a**(7\/3))\/a**(-4\/3))**(-46) assuming a is positive.\nAnswer: a**(-3404\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 4:22 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(50 - 49*b - 53 + 26*b).\nAnswer: -46*b - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 6*y + 9. Let m be f(-7). Suppose -17 = -5*g - m. Solve 0 = -g*x - 6 - 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i\/i**(1\/3))\/i*i)\/i)**(-27)\/(((i*i*i\/i**(1\/8))\/i)\/i*((i*i\/(i\/(i*(i**7\/i)\/i)))\/i)\/i))**(-17\/3))**(-3\/4) assuming i is positive.\nAnswer: i**(425\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p + 3*p - p + 0*p + 0*p + p + 2*p + p - 2*p + (-2*p + 0*p + 0*p)*(-5 + 5 - 2).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10101011101110111 (base 2) to base 16\nAnswer: 15777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-25))\/((-76)\/190))\/((-124)\/93).\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Add together 1245 and -0.03819234725.\nAnswer: 1244.96180765275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6603*o - 6623*o - 260 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12292937.67 + -309.28?\nAnswer: 12292628.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 907834?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 56.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7866)\/5244)\/((-6)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 2, e: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7309982928 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1, 0.02?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376504*z - 100038*z + 206254*z.\nAnswer: 482720*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 13*l - 90 = 0. Suppose 41*g = 46*g - l. Suppose -3*z + 90 = g*w, 3*z - 80 = w - 2. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1877166 or -1877165?\nAnswer: -1877165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-56) - (-286)\/(-14). Let i be (g\/12)\/(2\/(-12)). Suppose 6*n - 5*n = 0. Solve v + 3*j + 8 = n, -2*v - 5*j - 3 - i = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13004420 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9510910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 12:20 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 + 0*b**2 - 3722*b + b**2 + 24 + 3711*b + b**4 to the form o*b + k*b**4 + v*b**3 + y*b**2 + a and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631336519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 75.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 771\/2*h + 2*h**2 - 193\/2 = 0. What is h?\nAnswer: -193, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 18970?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 0.72897.\nAnswer: -0.072897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (-3*(sqrt(11) + -1))**2 + -3)*2.\nAnswer: -832 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/((-1185)\/(-14220)*8\/(-26)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23043*v**3 + 3*v**2 + v + 39258?\nAnswer: 138258*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t + 2*t**2 + 3*t - 2*t**3 + 3*t - 2*t to the form c + g*t**2 + i*t**3 + b*t and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 36 and 19493.\nAnswer: 19529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-6 - (-22 + 14) - 11).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*sqrt(24))\/sqrt(12).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*g**2 - 31*g**2 + 24*g**2 - 2*g**2 - g**2 + 2*g**2 + 1 - 1 - g**2 + (-3 + 0 + 2)*(-1 + g**2 + 1).\nAnswer: -40*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x**2 + 27*x + 4. Let q be d(4). Solve -f + 3 - 4 = q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7458134 is divided by 2486006?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + 4*n + 0*n + 0*n - 7*n to c + a*n + u*n**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3202 - 1605 - 3*l - 1618)*(-l + l + l).\nAnswer: -3*l**2 - 21*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2377.2*14134\nAnswer: 33599344.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 8:49 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q - 43. Let s be k(15). What is the second derivative of -2*g**2 - 10*g**3 - 2 - 15 + s*g + 0*g**3 wrt g?\nAnswer: -60*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 4, -117 in decreasing order.\nAnswer: 4, -26, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -776639.\nAnswer: -77663.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence koxj when four letters picked without replacement from {k: 7, j: 2, f: 1, o: 8, x: 1}?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2 - 3*r + 1. Let a(i) = -i**3 + 11*i**2 - 9*i + 3. Calculate -4*a(y) + 11*n(y).\nAnswer: 4*y**3 + 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-28 - 513\/(-18)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.13 + -0.53. Let u(q) = q**2 + 7*q + 4. Let g be u(-4). Let l be 4\/3*2\/g. What is the smallest value in -1, j, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 - -7. Let o = -57 - y. What is the lowest common multiple of o\/2 + 1\/(-3)*-12 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 3)*(2*z**2 + 2*z**3 - 2*z**2) + (2 - 2 - 3*z)*(1796*z + 41*z**2 - 1796*z) in the form q*z**3 + v + a*z**2 + x*z and give q.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 3*t + 3*t)*(3 + 4*t**4 + 5 - 6 + (8*t**2 + 3*t**2 + t**2)*(-3*t**2 - 3*t**2 + 17*t**2)).\nAnswer: 136*t**5 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) 7 (c) 5 (d) -4.72 (e) -0.1968\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 11854*j + 71174. Determine q(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 13 = 35. Suppose -3*q = -b*q - 60. Let m be 4\/(-10) + (-1144)\/65. Is m at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from fcfzffzzfcfcfvffvz.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**2 + 4*f + 4. Let q be s(-1). Solve 2*d = 1 - q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 38 + 3288*b + 2.\nAnswer: 3288*b + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8730541 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: Suppose -3*d + 2*n = -10, -5*n - 6 = 4. Suppose 7*l + 6 = 62. Suppose l = 2*a - 2*f, 0*f = -d*f. Solve 1 - a = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 1\/30*f**6 + 0 + 0*f**2 + 11\/12*f**4 + 7\/10*f**5 - 1\/6*f**3 + 76*f. What is the third derivative of c(n) wrt n?\nAnswer: 24*n + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/13 - 119488*a**2\/13 + 1782400330*a\/13 + 67903862956\/13.\nAnswer: 2*(a - 29891)**2*(a + 38)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -11, -3874, -46?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**3 + 5*x**2 - 12*x + 4. Let w(k) = 32*k - 191. Let y be w(6). Let d(t) = -t**3 + t**2 + 2*t - 1. Let h(q) = y*n(q) + 2*d(q). What is h(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 4*z**2 + 8*z - 1. Let b(x) = 3*x**3 + 12*x**2 - 26*x + 5. Let q(v) = 2*b(v) + 7*o(v). Calculate q(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2906995714225034 + -0.2\nAnswer: -2906995714225034.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*v = 714. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1003, -455, 119, 719?\nAnswer: 1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -4*g + c, 2*c = -2*g + 7*c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**4\/24 - 2*z**3\/3 - z**2. Let u(g) = 2*g - 9. Calculate 14*p(b) - 6*u(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1524930374?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-3)\/(-6))\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 + -30. Let s = o - 26. Suppose 2*x - s = -x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -591 - -588. Let p(u) = 2*u + 9. Calculate p(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 l when three letters picked without replacement from {t: 1, j: 1, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a**2 - 4*a + 2. Suppose 266 = -12*z + 206. Suppose -1 = 4*p + 3. Let u(g) = -g**2 + g - 1. Determine p*q(d) + z*u(d).\nAnswer: -2*d**2 - d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 13*h - 14*h = -25, 7*m = 2*m + 5*h - 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280066485.\nAnswer: 3, 5, 29, 83, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 130. Calculate the least common multiple of -5 + (d\/54)\/((-2)\/36) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k + 0*k**4 - 360*k**2 + 230*k**2 + k**4 + 3*k + 2*k**3 to s*k**2 + h*k + t*k**4 + p*k**3 + j and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217874083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 7*d**3 - 3*d**2 - 7*d + 264. What are the prime factors of b(10)?\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132460 and 1969?\nAnswer: 1457060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 + 0*d + 0*d. Let m(n) be the third derivative of 0 - 1\/24*n**4 + 2*n**2 + 0*n**3 + 0*n. What is p(m(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 - 40. Suppose n*g = -5*g + 6904. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1004*n + 26603 = -12553 for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1374 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 3)*(-5 + 7 - 8 - 2*n).\nAnswer: -10*n - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25396.4 rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*v + 14. Suppose 7 = 5*x - v. Find the third derivative of 0 + c**x + 0 + c**3 wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 467*t**4\/5 - 7767*t**3\/5 + 34436*t**2\/5 - 16128*t\/5 - 11008\/5 = 0.\nAnswer: -172\/467, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 4*g**2 - 31*g + 106. Let y be o(6). Sort -5, y, 1\/425 in increasing order.\nAnswer: y, -5, 1\/425","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1794\/(-479895)*1\/2)\/(((-8)\/(-10))\/(-4)).\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a. Let m(n) = -338*n - 1 - 598*n - 342*n + 1. Let z(t) = -58*t. Let p(h) = 4*m(h) - 90*z(h). Calculate u(p(s)).\nAnswer: 216*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 37 - -9?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 318 divide 1833222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 28447 (base 9) to base 2\nAnswer: 100101101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*x - 24 = 0, 0*q = 2*q + 3*x + 10. Suppose -10*i - 255 = -525. Calculate the least common multiple of 74\/4 - q\/2 and i.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 428\/825 - -2\/75. Is t at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 16805606807 and 289.\nAnswer: 16805607096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 8*z**2 + 12*z + 33. Let a be q(-7). Let s(f) = f**2 - f - 5. Let j be s(3). Let r be 12\/8*j\/(-3). Is r at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 + 1331*l\/3 + 1334.\nAnswer: -(l - 1334)*(l + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -15753500 to the nearest ten thousand.\nAnswer: -15750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**2\/2 + 12*x + 7. Let p be s(7). Let k(z) = z + 1. Is k(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 6*o**2 + 10*o - 5. Let h be t(5). What is the units digit of (-663)\/(-12) - (-15)\/h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4 = -2*v - 9, -3*u - 2*v = -11. Let w(m) = m**2 - 3*m + 4. Let a be w(u). Is a\/14 - (-411)\/7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 12*h**2 - 12*h + 1. Let v be c(11). Let u = v - 4. Is (3 + u)\/((-3)\/69) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2220 (base 16) to base 5\nAnswer: -234421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -3482\nAnswer: 3\/3482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 1569*x.\nAnswer: -x*(x + 1569)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*w - 2. Suppose -8*p + 39 = 47. Let m be (-5)\/((-10)\/32) + (p - 1). Calculate the greatest common factor of w and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481854 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/((-9)\/3 - -4). Let f = 8 + o. Is 4\/f - 1376\/(-40) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h = -6*h + 48 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*s - 2644 = -43144. Calculate the highest common factor of 567 and s.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 198*u**5 + u - 16?\nAnswer: 3960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1817 is divided by (-15)\/12*-2 - (1360\/(-32) + 10).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*w + 624 = 0, -1 = 2*w - 3. Let l = 1415\/9 - n. Which is the third biggest value? (a) 0.4 (b) 0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.2 - 3.87. Let m = y + 0.17. Sort -0.08, 1\/6, m in descending order.\nAnswer: 1\/6, -0.08, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-130)\/40 - (-2)\/8. Let c(k) = -k**2 - 5*k - 4. Let u be c(n). Solve 0 = g + s - u, 5*g - 2*s + 25 = -0*s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + sqrt(432) + (-6*sqrt(432)*1)**2.\nAnswer: 12*sqrt(3) + 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1.952\nAnswer: 0.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861836634.\nAnswer: 2, 3, 23, 37, 56263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*g + 2*g + 24, 5*g = -5*t. Let a be 5 - t*(-3)\/(-3). Let c = -2\/575 + -551\/6900. What is the biggest value in -2, a, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 + (-1 - 0))\/2. Let v be (6 + -3)\/(2\/114). Suppose -f - v = -h*f. What are the prime factors of f?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 79*q**2 - 7 - 186*q**2.\nAnswer: -265*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21581?\nAnswer: 7, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a decade?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-4))\/(3*13\/(-78)). Suppose n - 12 = -3*n + 2*y, -3*n = g*y - 22. Let u(s) = s - 3. Determine u(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(81) + 3*sqrt(20)*1)\/(((sqrt(484) - sqrt(484)*-2) + sqrt(484) - sqrt(484))*-4) + -5.\nAnswer: -5 - 5*sqrt(5)\/198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -455143c?\nAnswer: 4551444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 12*c**2 - 10*c - 10. Let z = 13 + -2. What is the units digit of y(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {v: 2, b: 2, l: 1, m: 3, r: 3, c: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + g - 1. Let u(d) be the first derivative of d**3 + 5*d**2\/2 - 5*d - 11. Calculate 5*t(m) - u(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 396*b + 395*b - 2 = 0, -4*b = 5*q - 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*z + 5, -z + 0*w + 2*w = -11. Suppose -2*m = 4*i + z*m, 0 = 2*i - 4*m. Solve 2 = 3*v - 5*g, 5*v = -i*v - 3*g + 26 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5513 - -88131\/16. Let y = 839765\/16 - 52491. Find the common denominator of y and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*s = a - 77, 5*s = 2*a - 128. List the prime factors of a.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 11:10 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192bc (base 14) to base 8.\nAnswer: 174266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -4)*40\/(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, t: 4, f: 3}. What is prob of sequence hf?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1041 divided by -78609\nAnswer: -347\/26203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 7:50 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 328, 741, 1330, 2101, 3060?\nAnswer: 4213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 4176\/168)\/(1107\/(-63)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d - d**5 + 5*d + (-92*d**3 + 92*d**3 - 15*d**4)*(-8*d - 20 + 20)*(0 - 1 - 3).\nAnswer: -481*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 164.8717?\nAnswer: -164.7717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -359 - -1679. Calculate the smallest common multiple of 600 and w.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/(-6))\/((-10)\/(-31 + -59)). Solve -a + 125 = 55*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36555626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = r - 2. Let y(z) = z**3 + 8*z**2 + 8*z + 10. Let q be y(r). What is the third derivative of -1 - 1 + 3*m**4 - q*m**2 + 2 wrt m?\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1272\/105)\/(-2) - (-430)\/7525?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/1080 and 103\/260?\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**4\/12 - 2*m. Let j(f) = -4*f**2 + 4*f - 4. Let z(l) = -8*l**2 + 9*l - 9. Let n(y) = 9*j(y) - 4*z(y). What is n(h(x))?\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((9 + (-25)\/3)\/(-2))\/(7*10\/(-4200))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + f**2 + f + 2. Let a be g(-2). Let m(o) = 2*o - 4 - o**2 - o - 8*o + 2*o. Calculate m(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-1)\/(-37)) - 6. Suppose -30 = x*r - 41*r. Let i be (-1 + -2)*(-8)\/3. Solve r*m + i = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2391548 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 + -2)\/(-4)*-1. Let w be 2\/v + 3\/(3 + -2). Sort w, -2, -18, 0 in decreasing order.\nAnswer: w, 0, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.11 + -4.89. Let h = 32.979 - -0.021. Let l = -33.3 + h. Sort i, l, -1 in ascending order.\nAnswer: i, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**5\/90 - 2*u**4\/9 + u**3 + 941*u**2. Determine q, given that h(q) = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2. Let w(s) = 17*s + 16. Give w(g(p)).\nAnswer: 17*p**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**6\/3 + 8*g**5\/5 - 4*g**4 - 20*g**3\/3 + 23*g**2 - 20*g + 633. Determine s so that b(s) = 0.\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 7 - 59 = 0. Let v be -1 - -1*(-6)\/(-2). Let p(d) = 3*d**v - 11 - 2*d**2 - d**2 + 7*d**2. Let o(y) = -2*y**2 + 3. Determine b*o(k) - 6*p(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9100 by -10.\nAnswer: -910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2936292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert b47483 (base 14) to base 5.\nAnswer: 3024333320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3 - 66*t + 8 + 65*t. Let g be i(-7). Suppose 2*m + d = g, -3*d = 3*m - d - 27. Sort 0, 5, m, -4 in descending order.\nAnswer: m, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n. Let o(d) = -2*d - 535. What is y(o(x))?\nAnswer: -2*x - 535","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 9 + -4 - -3) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-97 - -136)\/(-5 - -1) + (-3)\/(-4). Which is the nearest to -0.085? (a) 1\/5 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -c, 3*p = 7*c - 5*c + 357. Suppose -10*s + 1243 = -p. What is the greatest common divisor of s and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbkbekkbbbkbbkbkbebk. What is prob of sequence ee?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 4*-1 + 120\/5?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 4*v - c + 3*c, 22 = -2*v - 3*c. Let y(z) = -z**3 - 14*z**2 + 1. Let w be y(v). Solve -4*p = 3*a - 4*a + w, -3*p - 3 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19914 divided by 1\nAnswer: -19914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 104 (b) -1\/3 (c) 3\/7 (d) 4 (e) 1 (f) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/67325 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 4. Let w(x) = 3 - x - d + 1 + 1. What is w(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/(-12) - 89\/2. Let o = a - -69. Find the second derivative of 0*h**3 - o*h**3 - 4*h + 11*h wrt h.\nAnswer: -138*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1948206 or 1948281?\nAnswer: 1948281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -b66aa (base 15) in base 3?\nAnswer: -1002101201221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-1)\/1 + 3). Let u = 3 - 3. Is (o - u)\/(3\/201) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 497 - 475. Suppose 4 - 169 = -b*m. What is the highest common divisor of m and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**5\/5 + 18*j**4\/5 - 6*j**3\/5 - 144*j**2\/5 - 213*j\/5 - 18 = 0.\nAnswer: -5, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6063 (base 7) to base 10.\nAnswer: 2103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5720*z**5 - 2*z**4 + 1199*z**2 - 271858749*z wrt z.\nAnswer: -114400*z**3 - 24*z**2 + 2398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*s**3 + 274*s + 7*s**3 - 4 - 1 + 3 to the form c*s**3 + n*s + l*s**2 + r and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2280? (a) -5 (b) 0.5 (c) 1 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -399*n**4 - 8*n**2 + 404*n**4 - 3*n**3 - 49*n**2 wrt n.\nAnswer: 120*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f + 34 = -0*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/3 + 20089728*d + 60269182\/3.\nAnswer: 2*(d + 1)*(d + 30134591)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**2 + 2*x**2 + 2*x**2)*(2*x - 2*x + 2*x) + 1 - 1 + 2*x**3 in the form i*x**2 + r*x**3 + j + t*x and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4853 + -4849. Which is the smallest value? (a) 8.5 (b) -5 (c) -15 (d) w (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*c + 10376 = -789*c - 1304 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/49*(-819)\/(-117).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 250?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230450 divided by 4.\nAnswer: 115225\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 - -417. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90864234229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (0 - -11) + -13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3101513*c**3*d**3 - 5*d**3 - 704246*d**2 wrt c.\nAnswer: -9304539*c**2*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1104 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -32*d - 2401. Let x be h(-75). Let q = -107\/18 - -52\/9. Let r = -0.106 - -1.106. What is the biggest value in x, r, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 54. Suppose -7334 = -5*a + 2*j, 37*a - 5881 = c*a - 3*j. List the prime factors of a.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2856183681 to the nearest integer?\nAnswer: 53443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -11*x**2 - 38*x + 42. Let t(o) = -5*o**2 - 17*o + 22. Let l(w) = 4*h(w) - 9*t(w). Factor l(r).\nAnswer: (r - 5)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -765 + 1310. Suppose -l = -4*v + 5*n - 2*n, -3*v + 396 = 2*n. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-660)\/495)\/(75\/50*2\/(-99))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 5*u + 2*u)*(-2*u + 2*u**3 + 2*u) + 286392*u**3 - 286393*u**3 - 627*u**4 + 8497*u**4.\nAnswer: 7866*u**4 - u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 2:50 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235734891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/2260 and -31\/28?\nAnswer: 15820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -7. Let j = 7 + -12. Let q = 3 + j. Do q and k have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 3*n + 85 = 0. Let x = -13 - n. Let r be x\/14*((4 - -1) + -4). Which is the closest to -1? (a) 0 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - (sqrt(468) - 2*sqrt(468))) + (sqrt(78)\/(2*sqrt(6)))**2 + (sqrt(143)\/sqrt(99) - (-1*sqrt(117) - sqrt(13))))*3.\nAnswer: 39\/4 + 49*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 317017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 444*u**3 + 75*u**2 wrt u.\nAnswer: 2664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, s: 1, x: 5}. Give prob of sequence dxd.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1354000 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - d + 4*d - 30 = 0, 14 = 3*a - 2*d. Let t = 3 - a. Suppose -2*x = -2*o - 14, -4 = -4*x + 4. Sort t, o, 3.\nAnswer: o, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83963791 to the power of 1\/2, to the nearest integer?\nAnswer: 9163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 6. Calculate y(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19\/(-76) + (-59)\/4. Let q(t) = t - 71. Let p be q(x). Which is bigger: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -67*d**2 + 7*d - 59*d**2 + 133*d**2 in the form v + j*d + m*d**2 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 12:05 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -303101\/48 - -6314. Let f = -1\/16 + z. Let w = -1 + 1. What is the closest to f in 0.3, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8743 is divided by 81?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - 3*h + 6*h)*(-6 + 1 + 3)*(2*h + 0*h - 8*h) as b*h**2 + o*h + d and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1380 and 710.\nAnswer: 97980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4*r**3 - 4 + 19*r**3 + 13*r**3 - 3*r**3 + (2*r**2 - 4*r**2 + 4*r**2)*(-2*r - 1 + 1) to the form l*r**2 + y + k*r**3 + f*r and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p + 2. What is the least common multiple of x(2) and (-8379)\/(-798)*(-2)\/(-3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -41*a - 9. Let t be w(-5). Let r be t\/11 - 10\/(-55). Solve -2*x + 5*x = -4*v + r, 17 = x + 5*v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -533*y**2 - 529*y**2 + 2121*y**2 - 530*y**2 - 534*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3335*m**2 - 37439 wrt m?\nAnswer: 6670*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - 1*sqrt(2400))\/(sqrt(800)*1) - ((sqrt(243) + 2 + sqrt(243))**2*4 + -3).\nAnswer: -3901 - 2889*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -0.3, 2, 0.007?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*y - 104. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -473690000 to the nearest 1000000.\nAnswer: -474000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -3899, 1, 2, 12, -3 in ascending order.\nAnswer: -3899, -3, 0, 1, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2106 - 247 = 13*o. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t - 8. Let v = 267.78 - 267. Let j = 5.22 + v. Sort 3, 1\/4, t, j in ascending order.\nAnswer: t, 1\/4, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -221.2 and 0.5.\nAnswer: -110.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2811837776.\nAnswer: 2, 11, 67, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-20))\/(1\/5). Let g(f) = f**2. What is the units digit of g(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3756 is divided by 307.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 38*f**2 - 7*f + 1380. Does 15 divide k(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7702.94 years to centuries.\nAnswer: 77.0294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, y: 3}. What is prob of picking 2 y and 1 x?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -2\/33 (c) -0.27 (d) 21 (e) 2\/5 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-39)*o*(o\/(o\/(o*o*o*o\/(o*o**(-25)*o)*o)))\/o)\/((o**(-31)*o)\/o)**(-33) assuming o is positive.\nAnswer: o**(-1034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 458723.25471 and 0.0506.\nAnswer: 458723.30531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1824931 and -0.04742.\nAnswer: -1824931.04742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1653 divided by 3.\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-299)\/9)\/1 - (-28)\/126. Let q be (-49)\/(-65) + (-5)\/(75\/9). Suppose 5*k + 30 = -4*o, o = 2*k + 4*o + 19. What is the smallest value in k, q, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 122*z - 420. Let b(w) = -41*w + 148. Let c(y) = -17*b(y) - 6*h(y). Let i(p) = -p - 1. What is c(l) + 4*i(l)?\nAnswer: -39*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, -46, 45, -5, -3, -149 in descending order.\nAnswer: 45, 9, 3, -3, -5, -46, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1746 + -4?\nAnswer: -1750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**5\/20 - 3*f**4\/4 + 11*f**3\/6 - 8*f**2 - 10*f. Let r be k(8). Solve -2*l - 2*h - 4 = 0, -l + 0*l + 2*h = r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6) + (-7)\/(-42). Let b(h) = -h**2 - 3*h + 2. Let v be b(-3). Suppose -5*m = 5*o - 10, 5*o - v = -0*o - m. Are o and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g - 2*g + 10*g - 5*g.\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*g + 63*g - 20*g - 18*g + 47*g.\nAnswer: 156*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 635 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2008 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: How many micrograms are there in twenty-one quarters of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 20147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 614038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p = -27*p - 110. Let h be p\/(-3) - (-6)\/18. Let w(x) = 0 - 5 - 5*x**3 + 7*x**2 + x**2. Let o(m) = -6*m**3 + 9*m**2 - 6. What is h*w(r) + 6*o(r)?\nAnswer: -r**3 - 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 58b9 + 1b?\nAnswer: 5907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/63 and (8260\/1176)\/(14\/10) - 5.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2)**(-13\/7)*(p*p\/((p*p*p*p*p**(-5\/13)*p)\/p))\/(p*p*p*p**(-11)*p) assuming p is positive.\nAnswer: p**(152\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5\/3 (b) -0.8 (c) -4 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 71, 73, 75, 77, 79?\n\"Answer: 2*w + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 25.1. Let t = 0.9 - y. What is the closest to t in -1, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by 1090624.\nAnswer: -27\/1090624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-18) + 4786\/90. Let a = l - 2281\/40. Find the common denominator of a and -46\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(672)*-3)\/((sqrt(6) - (sqrt(6) - (sqrt(6) - sqrt(36)\/(-1*sqrt(6))))) + 5*-4*sqrt(6)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 294 + -303 + (-20)\/((3 + 0)\/(-3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212750 = 8*j + 47542. Let o = j - 10012. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-7)\/(-84))\/(66\/18)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2920*o**2 + 3 + o + 11*o**3 - 13*o**3 + 453*o**2.\nAnswer: -2*o**3 - 2467*o**2 + o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2400 - 2094. What is the remainder when d is divided by 71?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*g - 171 - 93 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7423514 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 = -6*i + 7*i + 3*z, i + 5*z = 233. List the prime factors of i.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(200)*-2 + sqrt(200) + -5*sqrt(200)*-1 - 4*(sqrt(242) - ((sqrt(242) + 1 - sqrt(242) - sqrt(242)) + -3))*6)**2.\nAnswer: 43008*sqrt(2) + 403712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.49 - -0.79. Let o be 4\/1 - (4 - 4). What is the closest to 0.1 in o, -2\/11, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 4:18 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2596.12 + -2625. What is z rounded to zero dps?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-415*3\/(-30))\/((-36)\/(-1440)*20)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5281 is divided by 254?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4787 (base 15) in base 8?\nAnswer: -35542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-154)\/28 + 12826\/212.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*m + 5 = 0, -h + 6*m - 7*m = 3. Solve -3*o - h = 4*u, -o + 3*u - 10 = -1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2)\/((-4)\/8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8807*k**2 - 8794*k**2 + 17610*k**2.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15745*v**3 + 106*v**2 - 27 wrt v?\nAnswer: 94470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1478*r**5 - 8752*r**3 - 71700*r**2 - 63?\nAnswer: 88680*r**2 - 52512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.200088 + -1.2. Round j to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84489 to the power of 1\/2, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*56563.09.\nAnswer: -282815.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-3 + 2)) + (-4 + 13 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -325321 by 12.\nAnswer: -325321\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 8. What are the prime factors of 8 - 0 - (l - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 93*n - 9. Let z(r) = r + 4. Calculate -w(j) - 2*z(j).\nAnswer: -95*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ddjjx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, -377, -1494, -3689, -7322, -12753, -20342, -30449?\nAnswer: -43434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1446 + -458. Let h = -568 + s. Let z = h - 271. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2344156?\nAnswer: 2, 107, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Suppose -2*n + 2 = -0. Let b(c) = -c + 2. Calculate n*b(s) - 2*a(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 = -2*f. Suppose -2*n = 4*u + 30 + 10, -f*u - 33 = 3*n. Let b = 14 + u. Solve -b*y - 2*o = -o + 24, 3*y + 2*o = -20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164104 and 6399775.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/210 and 1\/3150?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 130347 and 0.4.\nAnswer: 52138.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -294 + 307. What is the smallest common multiple of 7 and m?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -447 + 4?\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**3\/11 - 16*o**2 - 3690*o\/11 + 8100\/11 = 0.\nAnswer: -45, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -1381.006.\nAnswer: 1376.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 b when four letters picked without replacement from {a: 2, r: 4, b: 3, f: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 4*b**2 + 4*b - 1. Let h be (-308)\/140 - (-1)\/5. What is the remainder when 59 is divided by m(h)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1940947\/8430915 + -2\/18131. Let m = 3\/31 - c. Is 0 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6)*16\/44?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (10440\/(-200))\/(-29) - 194\/80?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -a - 5*n, 0 = 3*a + 16*n - 21*n + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five halves of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(1008) + 4 - (5 + sqrt(1008) + -1) - (sqrt(1008) + 0 + sqrt(1008) + -1 + -3))**2*4.\nAnswer: -576*sqrt(7) + 16164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-3))\/((-1)\/6). Let j be 6\/((-216)\/(-148)) - s. Which is the second smallest value? (a) 5 (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-70)\/(-21) + 2\/(-6). Suppose 0 = m*f - 9*f - 12. Is (-16)\/(-1 - -3)*f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 300*a**2 - 10258*a - 10560.\nAnswer: -2*(a - 96)*(a - 55)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 65371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/6 - 2096\/6. What is z rounded to the nearest ten?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.029 * -2\nAnswer: -0.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 51 - 50 - 9*d**2 - 33*d + 8*d**2 + 33*d. Let q(r) = -2*r**2 + 1. What is -4*c(b) + 4*q(b)?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**2*o*u**2 - 8*b**2*o*u - 3*b**2*o + 3*b**2*u**2 - 8*b*o*u**3 + 2*b*o*u - b wrt u.\nAnswer: -4*b**2*o + 6*b**2 - 48*b*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 3005*b - 3000.\nAnswer: -5*(b - 600)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**3\/6 + 11*k. Let v(u) = 13*u. Determine z(v(m)).\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 - 440282*k\/5 + 15774912.\nAnswer: -2*(k - 179)*(k + 220320)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*s - 219*s = 77. Factor s + 24*x**3 - 11 + 90*x - 36*x**2 - 90*x - 4*x**4.\nAnswer: -4*x**2*(x - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -38 + 16 + -23.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -14, -4\/9, -2, -2\/17, -1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*w**3 + 1020*w**2 + w - 17396?\nAnswer: 24*w**2 + 2040*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -62*i**3 - 10*i**2 + 21*i. Let w(u) = -32*u**3 - 4*u**2 + 10*u. What is 5*w(f) - 2*z(f)?\nAnswer: -36*f**3 + 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 3*k + 19, 10*w + 25 = 15*w - 3*k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -664 - -643. What is the biggest value in 1\/3, 2\/15, l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 10:37 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 8*n + 3. Let i be z(5). Suppose -22 = 2*f - 0*m - 2*m, 2*m + 34 = -5*f. Let v = f + 34. Calculate the greatest common factor of v and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-4 - -8) - -2. Let i(n) be the first derivative of 0*n**2 - 5\/3*n**3 - h - n. What is the derivative of i(s) wrt s?\nAnswer: -10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12ddc (base 16) to base 13\nAnswer: 29234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 80 = 4*h, 0*l + 4*h = -4*l + 28. Suppose 4*s - 3 = -5*y, s + l = 5*y - 2*y. Is 3 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.44527ml to litres.\nAnswer: 0.02044527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 395978, 791954, 1187930, 1583906, 1979882?\nAnswer: 2375858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, h: 12}. What is prob of picking 2 a?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*a + 312 = 4*r - 30, -a = -4*r + 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 40*h**2 - 84. Let z(w) = -w**2. Give z(v(l)).\nAnswer: -6400*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = -0*p + 2*p. Suppose -3*z + p - 11 = 0. Calculate the lowest common multiple of z and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqq when three letters picked without replacement from {q: 3, t: 2, v: 1, b: 4, k: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 353 + -193. Suppose 2*m = -6*m + j. What is the least common multiple of -1*1\/((-1)\/10) and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 - 150060*d + 450207.\nAnswer: -3*(d - 3)*(d + 50023)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/525*56*(-10)\/((-2)\/1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2)*(-12)\/99. What is the nearest to 2 in 1, g, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d + 5. Calculate s(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/72*3\/(-6)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197568 (base 11) in base 2?\nAnswer: 1001001111011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.4 (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttgtgggmxggtdxgxdxg. What is prob of picking 1 d and 1 g?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 374 and 56287?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(0 + 4\/2). Let x = 7.89 + 0.11. Let y = x - 4. What is the nearest to 0.1 in y, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111200 (base 5) to base 8\nAnswer: -7525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 2*s = 4*w + 4, -w = -3*s + 3. Suppose w = 4*r - 0*r - 5*o - 37, 4*r - 4*o - 32 = 0. Solve -r*c - 5*h - 13 + 3 = 0, 0 = -5*h + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-9))\/(2*3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26977480 rounded to the nearest one million?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04885 rounded to 3 dps?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**3 + w**3 - 2*w**3 + (3 + 1 - 5)*(-4*w + 4*w - 2*w**3) + 8 + w - w**3 + w**3 - w**3 + 2*w**2.\nAnswer: -2*w**3 + 2*w**2 + w + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9584)\/(-189284))\/(4\/158). Determine v so that -2\/21*v + 0 - 2\/21*v**3 - 4\/21*v**p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.4, 0, -1, 4\/31 in increasing order.\nAnswer: -5, -1, -0.4, 0, 4\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -41*p + 16. Calculate the remainder when s(-6) is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -605 + 901. Let m = 296 - u. Which is the biggest value? (a) m (b) 1\/2 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28c6 (base 16) to base 3.\nAnswer: 112022121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 3*o + 7*o)*(-23 + 4 - 11).\nAnswer: -180*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1436436 + -13?\nAnswer: -1436452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 182902 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 58 times 5\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 1 - 1 + 0 - 2*f**2. Let d(n) = -5*n. Determine d(x(b)).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*-3*1*sqrt(119))\/((-2*(sqrt(77)*2 - sqrt(77)))\/sqrt(11)).\nAnswer: -15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6 - 52*i + 116*i - 63*i. Suppose 3*t + 7 = -11. What is o(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, r: 3, c: 2, o: 1, u: 1}. What is prob of sequence uc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and (-16)\/(-20) - 312\/(-10)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -314 + 314. Let f be (8 - 3 - -1) + -1. Solve 6*k - f*k = j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*l**3 - 7*l**2 + 3*l**2 - l**2.\nAnswer: 33*l**3 - 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.36 + 3.26. What is the nearest to 0.05 in -2\/15, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-10)*(-603)\/(-402)*(-60)\/8?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 1\/16*a**5 - 1\/240*a**6 - 11\/32*a**4 + 5\/6*a**3 - a**2 - 10*a - 3. Factor m(d).\nAnswer: -(d - 4)**2*(d - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 662*b**3 - 661*b**3 + 4*b**2 - 17 + 0*b**2 - 18 wrt b?\nAnswer: 3*b**2 + 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -127, -125, -123?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1040918?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2148807 divided by 716269.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*v - 4*n = -44, n + 49 = v. Suppose -2*k + 27 = j, -2*j - 2*k + 10 = -v. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -35?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 2001 and 2001 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1356388726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -18321.4688 rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/520 and 151\/235872?\nAnswer: 1179360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u - 2. Let g be v(-2). Let a(q) = 3 + 0 - 19*q - 2 - g. What are the prime factors of a(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 - 73. Calculate the greatest common factor of l and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2472*0.206\nAnswer: 509.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42773.9 + 38697. Let l = r - -4071.9006. Let t = -5 - l. Round t to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 139590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 20*s + 18. Is c(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1702, -1719, -1764, -1843, -1962?\n\"Answer: -k**3 - 8*k**2 + 14*k - 1707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 103 = 4*s + 3, -s + 228 = 4*x. Let v = x - 28. Suppose 5*q + v = 4*j - 17, 4*j = 4*q + 48. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.79 + -0.22. Let w = a - 0.17. What is the smallest value in w, 1, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-30)*3\/(45\/40).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1988\/20 - (3355 - 3264)?\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 + 11*i - 2. Let m(f) = 2*f**2 + 6*f - 1. Calculate -6*l(q) + 11*m(q).\nAnswer: 4*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10901471 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010001010 - -101101?\nAnswer: 11010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 5. Suppose f = 2*a + 3*a. Let s be 8\/28 + (-4)\/63. Is a at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, 153, 201, 235, 249, 237, 193, 111?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*(y**(-1\/42)*y)\/y)*y*y\/(y\/(y\/(y*y**(-1\/5)\/y)))*y*y**2*y**(-6)\/y*y assuming y is positive.\nAnswer: y**(-163\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*y**2 + 6*y**2 - 19*y**2 - y**2 in the form s*y + w*y**2 + x and give w.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -264*n**4 + 395*n**3 - 336*n**2 + 2411*n - 3709 wrt n?\nAnswer: -3168*n**2 + 2370*n - 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6844042 is divided by 1646?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, y: 1, v: 1}. Give prob of picking 1 y and 1 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3379\/192603)\/((-3)\/(-18)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 1792.\nAnswer: 1795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 2*y - 2*y)*(3*y**3 - 5*y**2 + 7*y**2 - 37*y**3).\nAnswer: 102*y**4 - 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/63))**(-29))**2 assuming m is positive.\nAnswer: m**(-116\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**7\/840 - l**6\/180 - l**5\/120 - 7*l**4\/24 + l**3\/3 + 47*l + 103. Let d(s) be the third derivative of o(s). What is d(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**3*y**2 - 2*j**3 + 2*j**2*y**3 + 123*j**2 - 4*y with respect to y.\nAnswer: -2*j**3*y + 6*j**2*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 5\/748, 3\/2, 2\/17, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6}. What is prob of sequence pp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 274*p**4 - 5*p**3 + 15*p**2 - 4*p + 276. Let c(o) = o**4 + o**3 - 3*o**2 + o + 5. Let l(y) = 5*c(y) + m(y). Find the second derivative of l(r) wrt r.\nAnswer: 3348*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81\/94 - 30\/47. Put 2\/9, -0.4, -0.1, -299, x in ascending order.\nAnswer: -299, x, -0.4, -0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16812747 and 17388.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -33565723\nAnswer: 5\/33565723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**7\/42 + i**5\/20 + 11*i - 1. Factor u(c).\nAnswer: -c**3*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + a**2 + 0*a)*(-2*a**2 - 3*a + 3*a) + (-2*a**3 + 2*a**3 - 2*a**4)*(0 - 3 + 12)*(-1 - 5 + 1).\nAnswer: 88*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 + 3*c - 1. Let t(n) = -11*n**2 + 135*n + 6. Let j(b) = 6*a(b) + t(b). Let y(d) = 2*d**2. Give j(y(o)).\nAnswer: 4*o**4 + 306*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 101 + -114.6. Let z = 26.6 + s. Which is the second smallest value? (a) z (b) -1\/11 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 5*z + 26878, -12*h + 15*h - 2*z = 80532. List the prime factors of h.\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 11:52 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5*(sqrt(567) + -1) - sqrt(567)) + 4 + (sqrt(567) - -2*sqrt(567))*2*3)**2.\nAnswer: 1584*sqrt(7) + 274444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 358268?\nAnswer: 3940948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11780\/3875)\/((-4)\/(-10)).\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -2 - 1 - -2 - -138. Let y = -58 + k. Is 27 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1 = 3*i, -32 = -3*a - a - 2*i. Calculate the lowest common multiple of a and -12*(-5 + (-250)\/(-2625)*(-7)\/(-4)).\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 + 13*c**3 - 5*c**3 - 5*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) -0.084 (c) -2\/13 (d) 192\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-8)\/378 + 16\/(-56).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p - 77*p = -56 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 2 = -10*p. Let q be (0\/p)\/(6 + -1 + -3). Suppose -h - h = n - 29, q = 2*n + 2. Solve x = -4*x - h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15207 + 15210. Solve 3*m - f + 4 = 15, -4*m = l*f - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-96)\/180 - 17\/(-85). Which is the closest to 5\/2? (a) i (b) -5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -6*h - 18. Suppose -f - 3*w + 9 = 0, -3*w - 9 = -5*f - 0*w. 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: Let h = -9 + 5. Let g be (47\/94)\/(1\/(-16)). Sort -1, h, g in increasing order.\nAnswer: g, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-97)\/291)\/(1\/27)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from nnnkjknksknnknkjkkk.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 4*t. Let g be a(4). Let p = 6 + g. Solve 2 = -y + p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 12*a**2 + 20*a - 32. Suppose -2*k = -2*q - 28, 0 = -k + 6*k - 2*q - 55. Let y be 8 + k - 1*4. Is x(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/54*(-6)\/(-16))\/((-1)\/6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 2) + -18 + 14 + -14 + -12?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o + 23. Let b be (22\/(-44))\/((-1)\/10). What is n(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 26*a - 102. Calculate z(-19).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*y - 44*y + 48 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r = 281*r + 66*r - 358 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4668 is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2362 + 2361. Is 5\/113 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3*l = 2*q + 27, 12 = q - 3*l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 2*n**2 + n + 15. Let o = 44 + -40. Suppose 3*x + 20 = o*v, -4*x = -x. List the prime factors of u(v).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 5:11 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1086 + -161. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6428663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 24 = 20, j = 2*k + 24651. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 + 311. Let j = r + 44. What is the highest common factor of 34 and j?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 10*a - 9*a + 17*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -583 - -13413\/23. Let q = k - 9\/184. Let s = -3 - -3.2. What is the closest to 0.1 in 5, q, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (752*v**2 - 13 + 39 - 171*v**2 - 26)*(0*v + 2*v + v).\nAnswer: 1743*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/(-171))\/(2\/60)*-3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/10)\/((-13)\/(-1677)). Let d = -26 - f. Which is the second biggest value? (a) d (b) -4\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-49 - -7)\/(9\/108)*-2. Calculate the greatest common factor of 357 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, -48\/5, 0, -3, 2\/157, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(117)*-1 - sqrt(117))\/(sqrt(144)*-2 - sqrt(9) - sqrt(9)) - (-6*-2*sqrt(156))\/(((sqrt(84) - 1*sqrt(84)) + sqrt(84) + sqrt(84))\/sqrt(7)).\nAnswer: -29*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + 14 + 11 - -37?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -218 - -217. Sort h, -4, -6.\nAnswer: -6, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16511954 to the nearest integer?\nAnswer: 4063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -1\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-15) + (-5246)\/(-645). Suppose 0 = -b*o - o + 27. Solve o*q = 2*q + 4*u + 7, -2*q = 4*u + 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 8718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 16702465?\nAnswer: 16702464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.46 - -0.06. What is the second biggest value in 0, 4, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 86*s**2 + 178*s + 90.\nAnswer: -2*(s - 45)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1323) + 0)*-1*3.\nAnswer: -63*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 7*w + 9. Let y = 39 + -37. Let u be t(y). What is the units digit of (u - 0)*-50 - 3\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 6:09 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.42 - 23.98. Round v to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (111 - 69) + (4 - (4 + 1) - -1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 6*r**5 + 0*r**4 + 0*r**2 + 38\/3*r**3 + 20 + 0*r. What is the third derivative of j(s) wrt s?\nAnswer: 720*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0.1828. What is u rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-8 - -26)*(-5 - 1). Solve -q = h - 3*a, -h + 4*a = 3*h + 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**2 - 4*s**2 + 13*s**2 - 9*s**2.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6762240 and 111744.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4 = 0, -2*p - 4*i + 3*i - 15 = 0. Let n = -19 + 13. Is n > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 - -112?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14176 - 14?\nAnswer: -14201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r - 24 + 2*r**3 + 50 - 29 - 9*r to the form p*r + z*r**3 + g*r**2 + w and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 793 divide 48404720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 15) to base 9\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((-1)\/(-5 - 64\/(-12))*-1). Which is the nearest to -6? (a) -2\/13 (b) -2 (c) 2\/11 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m + 174488147392 - 174488147392.\nAnswer: -23*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 + 2)*(-3*n - 4*n + 5*n)*(2*n**2 - 3*n**2 + 4*n**2) + (4 + 2 - 4)*(0 + 2*n**3 + 0).\nAnswer: -32*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - 11*t = -12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 1 + 1)*(1 + 0 + 1) + h**2 + h**2 + h - h**2 + (615*h + 40*h + 58*h)*(-3 + 3 + 3*h).\nAnswer: 2142*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/8 (b) -5 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 31 + 77. Let q be (-4832)\/(-36) - (40\/a)\/5. Let i = -202 + q. What is i rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 636 - 404. Let c be (b\/(-60) + 4)\/((-8)\/(-10)). Sort 5\/2, c, 3\/2 in decreasing order.\nAnswer: 5\/2, 3\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x. Let v(z) be the first derivative of 0*z - 1\/2*z**2 - 24. Calculate v(l(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 169*r - 3*r - 2480 = 0 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccrlxlrcqdxxlxc. Give prob of sequence rq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8250.663 centuries to months.\nAnswer: 9900795.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgbkjko. What is prob of picking 2 j and 1 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 41\/3. Let s be (-12)\/(-105) + 2\/(-5). Which is the smallest value? (a) 3 (b) s (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 1\/3*o**3 + 0*o + 0 + 0*o**6 + 0*o**5 + 1\/35*o**7 - 4*o**2 + 0*o**4. Find the first derivative of t(v) wrt v.\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 3:01 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b - 1 + 1 + (-3 + 0 + 1)*(0*b - b + 2*b) - 2*b + 3 - 3 + 0 + 0 - 2*b - 1 + 1 - 13*b + (-4*b + 2*b + b)*(-6 + 0 - 1) to the form n*b + x and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4 (b) -1\/7 (c) 0.3 (d) 7274\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 344672 times -0.127\nAnswer: -43773.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 546 and 364?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddcplcdyaac. Give prob of sequence dp.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -65 and -2.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 220012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 - h**2 + 0*h**2. Let o(d) = -12 - 6 + 19*d + 38 - 20. Determine m(o(n)).\nAnswer: -1083*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**2 + y - 10. Let o(x) = 2*x + 34. Let z be o(-19). Let w be b(z). Let m = 82 - w. Which is smaller: -2\/23 or m?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 370376 + 0?\nAnswer: 370376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6 - (-917)\/(-1326). Let s = t - 12691\/663. Calculate the common denominator of s and 12\/9 - 908\/96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*m**6 - 2*m**5 + 17122*m**3 + 27479445*m**2?\nAnswer: -1440*m**3 - 120*m**2 + 102732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -719*k + 20137. What is f(28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*s**5 + s**3 - 5*s**2 + 22*s**2 - s**3 - 12*s**4 + 10*s**4 wrt s?\nAnswer: 1500*s**2 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2225 + -2225. Which is the closest to 7? (a) 2 (b) 21 (c) y (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 729.\nAnswer: 2\/729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/23328 and -23\/8593776.\nAnswer: 154687968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1215381 or -567?\nAnswer: -1215381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -547908.7 and 0.4719?\nAnswer: 547909.1719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7487\/3 + -2496. Sort 0, -4, 233, x in descending order.\nAnswer: 233, 0, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15694 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 9 - -14) + -8 + 0 + -19.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495*p + 435 = 498*p. Let f be p - 0\/(5*5\/25). Calculate the greatest common divisor of 116 and f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 897, 1793, 2689, 3585?\nAnswer: 4481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4 - 14 = 0. Let d be ((-5)\/(-1) - n) + 1. Solve w - 1 = -d*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3. Let v(k) be the third derivative of -k**6\/60 + k**5\/60 + k**4\/24 + 1165*k**2. Calculate 5*a(r) - 2*v(r).\nAnswer: -r**3 - 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 22*c**2 - 2*c + 1. Let h(a) = -9*a**2 + a - 1. Let v(b) = -3*h(b) - o(b). Let s(f) = -14*f**2 + 4*f - 6. What is 6*s(p) + 17*v(p)?\nAnswer: p**2 + 7*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6855550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 109*b + 2943. Let s be d(-48). Suppose 3*i = -3*m + 27, -15 + 6 = -3*m + 3*i. What is the highest common factor of s and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100001 - -10000?\nAnswer: -110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - 1\/((-2)\/(-6)). Let a(g) = 7*g - g + 2*g**2 - g**3 - 4 + g**2. What is the units digit of a(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 + 5*k + 4. Let t be f(4). Let v = -11 - t. Is v + 2 - (5 - 20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -10503\/7 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 11. Suppose 3*a + a + 24 = t. Is 446*((-3)\/a + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kku when three letters picked without replacement from {k: 2, a: 2, u: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -13429, -1?\nAnswer: -13429","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -16*i**2 + 8*i + 4. Let l(f) = -2*f - 1. Let r(v) = b(v) + 4*l(v). Let m(j) = -2*j**2. Calculate m(r(c)).\nAnswer: -512*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16560 and 6348.\nAnswer: 380880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -306\/5*s**3 + 0 + 0*s + 2\/5*s**4 - 124*s**2.\nAnswer: 2*s**2*(s - 155)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/11 >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 13, 16, -2, -7, -5, 44 in ascending order.\nAnswer: -7, -5, -2, 13, 16, 18, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301, 1326, 3075, 5548, 8745, 12666?\nAnswer: 17311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a*i*w - 400*a - 28*i*w - w with respect to a.\nAnswer: -3*i*w - 400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -24, -55, -88?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*r - 3. Let o be r + (-5)\/(60\/9). Let x = 1 + -1.07. Which is smaller: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, l: 3, d: 1}. What is prob of sequence aa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2472 divided by 618\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 313896*t - 1. Let k(c) = -16*c**2. What is h(k(f))?\nAnswer: -5022336*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*b + 975 = 290*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-146 - 388 - 30 + 117)*(-5*x**2 + 3*x**2 + 0*x**2) in the form g + j*x**2 + i*x and give j.\nAnswer: 894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15577 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -660 or -188168\/285?\nAnswer: -660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (-3 - -1) + 0. Suppose w*l + 0*l = 2*m + 6, -m = -2*l + 8. Suppose 0 = j - 2, 0*j + 7 = l*t - 4*j. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3335 and 113738?\nAnswer: 13079870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n - m + 265, 3*m = 4*n - 1095. Calculate the least common multiple of n and 50.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, 3, -4.67, 1, -4?\nAnswer: -4.67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 15*j**2 + 2*j + 17. Let h be a(-16). Suppose -317 = -2*t + h. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w. Let h(i) = -1054*i**2. What is h(z(q))?\nAnswer: -16864*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5\/6 + 337*k**4\/3 + 65285*k**3\/3 + 940860*k**2 + 15507783*k\/2 + 15372441 = 0. What is k?\nAnswer: -309, -46, -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 3:28 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 6. Let y(p) = p**3 + 3*p**2 - 2*p - 3. Let j be y(-3). Suppose j*z + 7 = 16. Let c be i(z). Solve 2 - 5 = -c*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4))**(2\/15))**42\/((p*p*((((p*p**(-4\/5))\/p)\/p*p)\/p)\/p*p**(-2\/9)*p)\/(p**(1\/3)*(p**(2\/3)\/p)\/p)) assuming p is positive.\nAnswer: p**(-1052\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-331)\/(-18) - 4\/(-18)*-1 and 2\/40*(1 - -101).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = f - 78, 0 = 2*f - 5*f - j + 213. Let c = 142 - f. Calculate the greatest common divisor of c and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89251 is divided by 1940.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/4 < 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 17400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -115*x. Let u be k(6). Find the common denominator of (-2)\/(-48)*(-27)\/(-6) and ((-2)\/(-12))\/(14\/u).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83761884 divided by 4?\nAnswer: 20940471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2616\/107 or 25?\nAnswer: 2616\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*(sqrt(3) - (sqrt(48) + 1))**2 - ((sqrt(84)\/(-1*sqrt(7)) - sqrt(12)) + 3)**2.\nAnswer: 144*sqrt(3) + 503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbbwqzwbxbbwzzwz. Give prob of picking 2 z and 1 b.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/4, 1\/2, 7.\nAnswer: -5, -3\/4, 1\/2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-6))\/(5\/(-15)). Let h be 3 - (0 - x) - -2. Let n(d) = d**2 - 3. Let z(j) = -198 + 14*j**2 + 205 - 16*j**2. What is h*z(q) + 9*n(q)?\nAnswer: q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 7*i. Suppose 0 = -j - 2*b - 4, 4*b = j - 7 - 7. Let c(l) = l**2 + 4. Let s be c(-3). Let d(v) = -11*v**2 + s*v**j - 3*v**2. Give x(d(a)).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-200.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) - (sqrt(1573) + (sqrt(1573)*-4*6)**2).\nAnswer: -906048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -87 + 7?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -11\/19 (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 401670 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19\/176447 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158 + 157. Suppose 0 = -3*u + 4*p + 11, -4*u - 2*p + 24 = 2. Suppose -u*i = -10 - 5. Which is the biggest value? (a) i (b) -11 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40789 is divided by 4555.\nAnswer: 4349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3230968277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 - w. Let y(l) = 3*l**2 + l. Let k(u) = q(u) + y(u). Let t(x) = 16*x**2. Calculate k(t(m)).\nAnswer: 256*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0776 + -366.3776. Let i = 364 + t. Is i <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, 0.4 in decreasing order.\nAnswer: 5, 0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g + 11*g - 1 + 5 - 13*g. Let h(w) = 4*w + 3 - 2 - 3 + w. Suppose 5*z + 0*x + x = -51, 0 = -2*z - 2*x - 14. What is z*h(j) - 6*c(j)?\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/40 and 77\/4440.\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 30. Let n(k) = 4*k**2 - 30*k + 40. Let o be n(7). Give g(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 125.635 + -63.766. Let l = d + -62.2. Round l to 2 decimal places.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954 is divided by 618?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*f**5 + 40*f**4 - 2*f**3 - 79894*f wrt f.\nAnswer: 980*f**3 + 480*f**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -23*o - 207. Let z be s(-9). Let p(g) be the first derivative of 5\/4*g**4 + z*g + 0*g**2 - 2\/3*g**3 + 5. What is the third derivative of p(i) wrt i?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 20847 = 5*x + 6435, -4*w = 5*x + 54554. Round w to the nearest one hundred.\nAnswer: -13600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2733 (base 14) to base 2\nAnswer: -1101011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-10)*h)\/(h**12*h))**(5\/6) assuming h is positive.\nAnswer: h**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40143353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*t - t. Suppose 4 = k - 5. Suppose -k*l = -6*l - 192. What is the highest common divisor of l and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2448 - 2449. What is the third biggest value in 5, 7, q, -0.1, -0.15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14664, 14667, 14670, 14673, 14676, 14679?\n\"Answer: 3*r + 14661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -i, 5*n - 3*i - 4 = -0*n. Let g be 4\/2 - n - 3. Let y(d) = d**3 - d**2 - d + 8. Determine y(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + (-6*(2 + -5*sqrt(833)))**2)*4.\nAnswer: -20160*sqrt(17) + 2999376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 11:52 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78850309 to the nearest integer?\nAnswer: 8880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 10 + -9 + 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*u*x**6 + 43*u*x**4 - 12*u*x**2 + 9*u wrt x?\nAnswer: -480*u*x**3 + 1032*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12323 is divided by 57.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 5:13 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 0*u**5 + 1\/4*u**4 - 3 + u**2 - 2\/3*u**3 - 1\/60*u**6 + 0*u. Factor d(c).\nAnswer: -2*(c - 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 - d + d + (2 - 2 - 2)*(-2*d**3 + 2*d**3 + 2*d**3) + (-3*d - d - 3*d)*(2*d**2 - 2*d + 2*d).\nAnswer: -19*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2963 + -14522\/5. Let z = q - 59. Let u = -4 + 4.4. What is the closest to z in u, 1\/5, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 24*u - 870. Calculate the remainder when 49 is divided by g(37).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*i - 1665, -5*w - 3*i + 1681 = -2*i. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + 3*l - 3*l + (-4*l + 3*l + 0*l)*(5 - 3 - 3) - 3*l - 3*l + 8*l + 5*l - 4*l + 2*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 j when four letters picked without replacement from {e: 1, d: 7, u: 2, h: 1, j: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-16)\/72)\/(3*1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 90335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6370020\/118512*(1\/3 + 1\/15)\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 12*g**2 + 7*g + 137. Let s be k(10). Let v(y) = -y**2 + 4*y + 30. Determine v(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -2097.64?\nAnswer: 1048.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 0 + 1\/(-2). Suppose -4*x = -948*r + 951*r - 22, x - 2*r + 11 = 0. Factor -1\/2*p**3 + m*p + 0*p**2 - x.\nAnswer: -(p - 1)**2*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0303 - -112.8303. Let b = -112 + w. What is the nearest to 2\/3 in -0.04, b, -1\/4, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by -11766.\nAnswer: 41\/11766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-21)))\/u*(u\/(u\/(u*u\/(u*u\/(u\/(u\/(u\/((u\/u**(-23))\/u))))))))\/u)\/(u**7*u*u**(12\/17)) assuming u is positive.\nAnswer: u**(-913\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -22. Let k(o) = -14*o**2 + 11*o + o**3 + 4*o**3 - 4*o**3 - 21 - 2*o**3. Let y be k(n). Calculate the greatest common factor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) -6.2 (c) 3 (d) 11 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 - 1. Suppose 0 = 2*c - 4 - 0. Let z(y) be the third derivative of 2*y**5\/15 + 5*y**3\/6 + 5*y**2. Calculate c*z(g) + 9*d(g).\nAnswer: -2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**4 - 4*v**4 - v**4)*(1235 - 3*v - 12*v - 1239).\nAnswer: 30*v**5 + 8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 5, l: 7}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5)*y)\/y*(y*y*y**(-2\/3))\/y)\/((y**(-2\/7)\/y*y)\/y**0) assuming y is positive.\nAnswer: y**(-92\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/87338904 and 75\/992.\nAnswer: 349355616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*a = -k + 4, 2*a - 1 = -3*k. Suppose 0 = k*n + 5*o - 15, -o + 3*o = -2*n + 6. Solve n*v = 5*v + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r**5 + 14*r**4 - 4*r**3 - 12*r**2 + 10*r - 2 = 0 for r.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - 2) + (-10 - -27) + 2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 49555, 50817, 52079, 53341, 54603, 55865?\n\"Answer: 1262*u + 48293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -104422014 (base 5) in base 2?\nAnswer: -1110010000010111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -32\/5 - 2\/5*m**2 - 16\/5*m = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2*sqrt(17) + -4 - sqrt(34)\/sqrt(512)) + 2)**2.\nAnswer: -31*sqrt(17)\/2 + 20433\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from obooobo. Give prob of sequence oooo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-8 + -8 - (-17 + 8))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -265 divided by -5.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 222 - 228. Let z(w) be the second derivative of w**4\/12 - 7*w**3\/6 - 2*w**2 - w. Let r(t) = 4*t**2 - 22*t - 12. Let i(p) = 2*r(p) - 7*z(p). Give i(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 0*s**2 + 0*s**3 + 0*s**5 + 0*s**6 + 1\/21*s**7 + 3*s - 1\/3*s**4 + 0. What is the third derivative of d(y) wrt y?\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -4*j**5\/5 - 5*j**4\/3 + 4*j**3 + 29*j. Factor q(v).\nAnswer: -4*v*(v + 2)*(4*v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 241998.\nAnswer: 72599.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-22) + 6538\/(-308)*2. Sort 4, -4, 0, c.\nAnswer: c, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40153 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*k**2*u - 6*k**2 + 25*k - 13*u**2 wrt u?\nAnswer: 4*k**2 - 26*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 873536.4 days?\nAnswer: 75473544960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 10:20 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 221298741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9497, -9539, -9573, -9599?\n\"Answer: 4*l**2 - 54*l - 9447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -1. Suppose 2*p = -3*c + 12, 3*c - 18 = -t*p + 5*c. Suppose -b + p*b = 210. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c. Let q(x) = 1989*x**2 + 127. Give q(a(z)).\nAnswer: 1989*z**2 + 127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*r - 169 = 0. Suppose -2*g = -65 - r. Round g to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00216221045 to six dps.\nAnswer: -0.002162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46? (a) 0.5 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e2d - 13d3?\nAnswer: -4200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 5*x - 7. Give q(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2092 and 108784.\nAnswer: 108784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -189 and 95.23883.\nAnswer: -93.76117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 684918*s*w + 6*s - 4816707*w with respect to s.\nAnswer: 684918*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 9:47 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5729 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 947 divided by -113962\nAnswer: -947\/113962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6 + 14\/6. Let t(k) = k**3 + 7*k**2 - 8*k + 3. Let f be (-12)\/2*12\/9. Let i be t(f). Which is greater: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146961969 divided by -3.\nAnswer: -48987323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17743, 35487, 53231, 70975, 88719?\n\"Answer: 17744*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2158 a factor of 31873660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -12*j + 59. Calculate o(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1761900 to the nearest 10000.\nAnswer: -1760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36397 - -36416.2161. Let w = 18.95 - b. What is w rounded to two dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/13 in 3181\/4, 3, 5, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a - 6. Let d be w(-2). What is the units digit of (8\/4 - d) + 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -2*c + 5*k, -2*c - 2*k = 2*c - 38. Let g = -6 - -8. Suppose 0 = g*o - 8, -2*z + 0*z = -3*o - 82. Calculate the remainder when z is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (2 - -1) + -12 + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 15 + 25. Suppose c*v - 20 = 4*v. Let o(d) = 4*d**2 + 2*d + 3. Is o(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -228475*f**3 - 235573 wrt f.\nAnswer: -685425*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/449 - -31883\/898. Find the common denominator of u and -143\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -139*z**3 - 5*z + 4. Suppose -4*l - 5*n = -14, -n + 3*n = 4*l. Let u be j(l). Which is the third smallest value? (a) -4 (b) -0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6 = -m - 14, -n + 4*m + 26 = 0. Let z = -16 + n. Let t be (-6*(-2)\/(-4))\/1. Sort -2\/9, t, z in descending order.\nAnswer: z, -2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -64, -249, -568, -1027, -1632, -2389, -3304, -4383?\n\"Answer: -q**3 - 61*q**2 + 5*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f**3 + 3*f**2 + 2*f**4 + 2 + 2*f**3 + 5*f - 2 - f**4 in the form j + w*f**3 + s*f + m*f**2 + r*f**4 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 18 = q, q = -3 + 1. Let t be 6\/c*(-4)\/(-2). Suppose t - 2*k**3 - 3*k**2 + 2*k**3 + 3*k**3 - 3*k = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 297756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*v = 93*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 5)*(1 - 1 + 2) + 5078 + 4487 + 124 - 2073 + 3147)*(3*d**3 - d**3 + 0*d**3).\nAnswer: 21530*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -390 divided by 19\nAnswer: -390\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001 (base 2) in base 3?\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -0.5, 177.7, 0.139, 5 in decreasing order.\nAnswer: 177.7, 5, 0.139, -0.5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 81120433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18279589.\nAnswer: 71, 257459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8698720 rounded to the nearest one hundred thousand?\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -884*q**2 + q. Let r(y) = 51622*y. Give r(k(h)).\nAnswer: -45633848*h**2 + 51622*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3008 and 7896.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l**2 + 2*l + 15. Let x be -2*(2 - 0)\/(-2). Let a(b) = -15*b**2 - 5*b - 31. Let d(h) = x*a(h) + 5*u(h). What is the derivative of d(i) wrt i?\nAnswer: 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(18\/15 + -1). What is the fourth biggest value in x, 1, 3\/5, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 57 = -2*p. Let s = p + 5. What is the remainder when s is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 27 + 973*k**3 + 949 - 1017*k**3 + 1808*k**3 + 20512*k + 107940*k**2 = 0.\nAnswer: -61, -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 - 23 - 2364*i + 6 - 10 as u + c*i and give c.\nAnswer: -2364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -24 (b) 0.3 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 1033*w - 11350. Give p(-11).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1655304 divided by 413826\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -5, -3\/7, -2, -29, 54?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/2 (b) 1\/8 (c) 4\/3 (d) 0.4 (e) 4\/5 (f) 2\/3 (g) 51.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 0.2. Let a be 133\/28 - (-1 + 2 + 3). Let t = -6 - -5.7. What is the third smallest value in 0.4, c, a, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 16*s + 9*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (62 - (11 - -9))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 255 + -390. Let u = h - -134.7. What is the second biggest value in -2\/5, 10, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + (-23 + (-16 - -41) - (-3 + 0)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(25\/(-2250)*-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 11*a**2 - 3*a**2 - 19*a**2.\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 0.408663173.\nAnswer: 2.408663173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 30 = -11. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**4\/12 + 7*o**3\/6 - 7*o**2\/2 + o. Let q be i(6). Let n(y) = -2*y + 52. Let m be n(26). Sort q, 3, m in descending order.\nAnswer: 3, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1056631 is divided by 13903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 68*y. Let t be s(1). Suppose -p + 125 = -t. Suppose 4*g - 31 = -3*u + p, -3*u = 0. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 690 and 1840.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3567\/82)\/29*-2*4\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -190456*y**2 + 2793*y. Let r(j) = 1091*j**2 - 16*j. Let u(i) = -2793*r(i) - 16*w(i). Let l(h) = -3*h**2. What is 147*l(z) + 3*u(z)?\nAnswer: -42*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23.442 or 5.72?\nAnswer: 5.72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*v**3 - 156*v**3 - 2 - 36.\nAnswer: -11*v**3 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -5)\/(-7 + 4 + -2). Let u be ((r - 1)*(-19 - -20))\/1. Solve 5*y + u = 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**8\/1680 - o**5\/40 - o**3\/2 + 3*o. Let b(l) be the second derivative of x(l). Find the second derivative of b(q) wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 - 13502037?\nAnswer: -13502036.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7*c**2 - 4*c**2 - c**2. Let t(j) be the first derivative of -j**4\/6 - j - 1. Let m(z) be the first derivative of t(z). Calculate x(m(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**5\/120 + 19*c**4\/12 - 23*c**3\/6 - 10*c**2 - 3. Let q(d) be the first derivative of b(d). Let k(x) = -x. Calculate q(k(y)).\nAnswer: -y + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1\/5, -3, -0.2, 3\/14, -5, -3\/113804?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -588 + 592. Let y be (-2)\/(-6) - (-3)\/(-189)*3. Let z = 1.95 - -0.05. Which is the third biggest value? (a) z (b) t (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020637386 to six decimal places.\nAnswer: -0.000206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13*(-3)\/3*4. Let a = 149 + m. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g + 6 + 5*g + g**2 + 2*g. Let m be t(-4). Calculate the highest common divisor of 30 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**5 + 2*o**5 - 2*o**5)*(1 - 1 + 1) - 409*o**5 + 826*o**5 - 413*o**5 - o**2 - 20*o**2 + 13*o**5 + 20*o**2.\nAnswer: 19*o**5 - o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2687, 2675, 2663, 2651?\n\"Answer: -12*n + 2699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -19. Put n, -4, -2 in ascending order.\nAnswer: -4, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 173 + 1?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 7 - 21. Which is smaller: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.67 + -2.07. Let z = 164.5 - 165. What is the second biggest value in r, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 9:07 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4938 and 774.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -0.6, 27\/4, 8\/5, 0.072, 5?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 1746?\nAnswer: 8730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 471172 + 0?\nAnswer: 471172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + ((sqrt(153) - sqrt(153)*-2) + sqrt(153) - sqrt(153))*6)**2.\nAnswer: -324*sqrt(17) + 49581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/(-14))\/(1*4\/16). Solve -28*t + z = -27*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-1\/4)))**15*f*f\/(f*f*f**(3\/4)*f)*f\/f**(-4)*(f*f\/(f\/(f\/(f*f**(2\/5)))))**(-1\/16)\/(f**(-1))**27 assuming f is positive.\nAnswer: f**(2717\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11582864 a multiple of 727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p - 12. Give a(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q - 4. Let p be t(-4). Let x(z) = -104*z**3 + 3*z**2 - z - 1. Let u be x(1). Let c = -95 - u. Calculate the greatest common divisor of c and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 1*(-5 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238617 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = s - 11, -3*b - 5*s = -8*b + 5. Suppose 2*r - r = 2*j - 64, 0 = -b*j - 2*r + 136. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2239.96794 * -5.\nAnswer: 11199.8397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eenneqneeq. Give prob of sequence qn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - -1)*(0 - -1). Suppose -d*m + 0 = -6. Suppose l + m*l - 5*f - 144 = 0, -2*l = -5*f - 96. Calculate the remainder when l is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 4 in descending order.\nAnswer: 4, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 59909783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - s = q - 13, -2*s + 71 = 5*q. Suppose -2*x = 3*x + 2*g - 381, -5*g = 2*x - 165. Calculate the greatest common divisor of q and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a millennium in years?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -326577*j**3 + 287973?\nAnswer: -979731*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((-6)\/(-4)) - -12. Calculate the greatest common factor of 84 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2*-4)\/((-217)\/7)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -677.\nAnswer: -135.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 586736179?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkpppkppkpkkkkppkp. What is prob of sequence pp?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 59628846 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 675 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 3*u + u)*(-1 + 1 + 1 + (-2 + 0 + 5)*(-3 + 5 - 3) + 2 - 5 + 2 + 1 - 2 - 1) - 2*u + 3*u + 0*u + 10 - 7*u + 20 - 5*u.\nAnswer: -u + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 10:02 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-8 + -5 + 8)) + (-53 - (-56 - -46)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 10:14 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 14) in base 3?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.786 rounded to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.3 + -1.3. Let v = -16.5 + g. Let k = 1 - -1. Which is the biggest value? (a) k (b) 1\/6 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/563 and -5\/7.\nAnswer: 3941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1340 and 103850?\nAnswer: 207700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**11*(c*c*c\/c**(3\/4)*c)\/c*c)**(-45))**18 assuming c is positive.\nAnswer: c**(-23085\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32584 + 423892\/13. Let x = m + -2254\/65. Calculate the common denominator of x and (162\/(-14))\/((-190)\/(-133)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**4 + p**3 - 4 + 4*p**4 - 5*p + 6*p as x*p**3 + o*p + y*p**2 + c*p**4 + z and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16905*d**3 - 8454*d**3 - 8448*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*10\/8*(-183)\/(-305). Suppose -6*p + p + 25 = 0. Let w(m) = -4*m**3 - 4 - 6*m + 9*m**2 - 6*m**3 - p + 9*m**o. Give w(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**5\/60 - 5*p**4\/24 - p**3\/3 + 5*p**2. Give q(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177287 to the power of 1\/2, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1254)\/(-63) - 278\/(-2919)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/(-84) - (-54)\/8. Solve -2*i - 45 = -j*i + 4*m, -5*i - m = -20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/7 and 6\/(-2 - 19\/4).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 564 + 853. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 410 = -14*q + 202. Let m(p) = p**2 - 9*p + 2. Let d be m(5). Does d = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - -15 - -3 - 30\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20726642.\nAnswer: 2, 10363321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171363*r**3 - 1966731*r**2 - 6497880*r - 4702512 = 0. Calculate r.\nAnswer: -1252\/239, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -145*n + 2. Let x(d) = -28*d. What is -t(c) - 5*x(c)?\nAnswer: 285*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3486? (a) 0.5 (b) 1\/3 (c) 34 (d) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {r: 4, k: 4, y: 1, o: 6, a: 1, h: 2}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -184*z + 369*z - 200*z. Let p(k) = 3*k**2. Determine w(p(f)).\nAnswer: -45*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from lqqjyqjqgljbq.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7121 is divided by 54.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 8*u**2 + 15*u - 8. What is c(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 392913*f*w**3 - 46*f - 834*w + 2055440 wrt w?\nAnswer: 1178739*f*w**2 - 834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11440003 (base 6) to base 7\nAnswer: -3040653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 5:44 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 203640 and 4800?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 30, -446, -5, 2, -6 in increasing order.\nAnswer: -446, -6, -5, -1, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1112*n**2 + 25 + 1122*n**2 - 25.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 4 = -4*o. Let z = 17 - o. What is the second derivative of -134*t + 2*t**3 + 141*t - z*t**3 wrt t?\nAnswer: -36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8958 is divided by 2029?\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.05 + -11.05. Put 3, b, 3\/20 in increasing order.\nAnswer: b, 3\/20, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 115 and 6\/7 + 1296\/252?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xawa when four letters picked without replacement from xuwuuaa.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 = 2*i, -i + 3*z = -0*i - 4. Suppose -b + 18 = -3*j + 2, -3*j - 24 = 3*b. Put j, 0, i in increasing order.\nAnswer: j, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-136)\/36 - (-4)\/(-18). Let s(n) = 2*n - 1. Calculate s(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*q + 13 + 16 = 0, -3*q + 15 = -3*c. Let t(b) = -b - 12. Let m be t(c). Calculate the remainder when 34 is divided by (-4 - m)\/((-2)\/18).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9315 divided by -5?\nAnswer: 1863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 7:13 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-16)*2024\/220.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 6 = -0, 4*d - l - 23 = 0. Suppose 2*t - 2 = -t - d*o, -5*t + 70 = -5*o. Find the first derivative of -8 + 2 + t*r**4 - 3*r**4 wrt r.\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -491452 at most as big as -491452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 2:22 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyj. What is prob of picking 2 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, -5, 15.\nAnswer: -7, -5, -4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7)\/4)\/((-56875)\/19500). Let w = 332 - 336.02. Let u = w - -0.02. Which is the nearest to 2\/5? (a) -10 (b) k (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-10) - 8*(-3)\/5. Suppose 0 = 2*o + 3*k - 245, -125 = q*o - 6*o + k. What are the prime factors of o?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*sqrt(95)*6 + sqrt(95))\/(sqrt(5) + (sqrt(35) + sqrt(35) + sqrt(105)\/sqrt(3) + sqrt(35))\/sqrt(7)).\nAnswer: -5 + 7*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/10137 and -38\/145733.\nAnswer: 13553169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 38 = 2*z. Suppose -5*c = 2*u - z, 5*c - 2*c + 39 = 3*u. Let y be ((-84)\/18 + 5)\/(2\/u). Solve w - 1 = -5*x, -y = 5*x - w - w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42176512 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-6))\/(684\/162))\/(24\/16)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 13*p**3 - 2*p**2 + p. Let y be l(1). Suppose 4*a = y, -s - 3*a + 17 = s. Suppose 5 = -s*f - 3. Let h(k) = k**2 + 1. Determine h(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -0.1 (c) 0 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**7\/840 - f**6\/72 + f**5\/120 + 5*f**4\/24 + f**3\/6 + 13*f. Let a(y) be the second derivative of x(y). Calculate a(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 940267143 to the power of 1\/3, to the nearest integer?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*j - 4 + 18*j + 4 to z*j + q and give z.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x = -15*x - 2*n - 1586, -5*x = 3*n - 1977. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 5*m + 20. Calculate the remainder when m is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (230\/4)\/(19 + 994\/(-56)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 1. Let i(s) = s**2 - 18*s - 47. Let o be i(30). Let n = o - 314. Let b(d) = -3*d**3 - d**2 - d + 2. Give n*b(y) + 2*g(y).\nAnswer: y**3 + y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 + 47 = 5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 11*s + 6. Let q(w) = -w**2 - 8*w + 11. Let t be q(-8). Let y be a(t). Let d = y + -2. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -386 * -0.5.\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 71588 or 71165?\nAnswer: 71588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 0*f**3 + 1\/3*f**2 - 1\/18*f**4 + 7*f - 3. Let j(m) be the first derivative of s(m). Let j(t) = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9207534 and 1476?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1907 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(429\/(-52))*(-6)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 91*g**2*w*z - 54*g**2*z - 4*w*z - 3*z - 86 wrt g?\nAnswer: 182*g*w*z - 108*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 8 = 4*p, -2*p + 15 = 4*d - 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9*-5*6\/720\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*t**3 + 13*t**3 + 26*t**3 + (3*t - 2 + 2*t - 4*t)*(-1 + t**2 + 1) to z*t**2 + q*t**3 + r*t + n and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -0.13 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 39378615?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 6 - 30*r - 5 - 2*r**2.\nAnswer: -2*r**2 - 30*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177 - 145 - 894 + g - 26.\nAnswer: g - 888","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bggb when four letters picked without replacement from {g: 3, b: 8}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43709 = -7368*v + 4988*v + 172871 for v.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-10)\/3)\/((-748)\/238) and -49\/5802?\nAnswer: 63822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.371*-4\nAnswer: 1.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*z + 639*z = -755 + 3320 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 7:29 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1831687 and 2002?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*m - 44*m - 87009 = -789*m - 30*m for m.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 15*i**2 + 27*i - 7. Let t(p) = p**3 + 6*p**2 + 3*p + 3. Calculate the remainder when t(-4) is divided by l(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.1 - -0.1. What is the smallest value in z, 0.1, 3\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146 and 343319?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31960?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -110902*o + 2661610. Give g(24).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 302030 (base 7) to base 5\nAnswer: 3114003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 75\/12 - (-10 - -6). Factor 3*m**3 - 3*m + 3\/4*m**2 - t.\nAnswer: 3*(m - 1)*(m + 1)*(4*m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o + 9. Let k = 79 - 65. Suppose x + 2 = 0, v = 5*v + 5*x - k. What is t(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7120559?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.616125 to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**4\/2 + y + 2. Let b be a(-1). What is the derivative of 4 - 4 + b*q**3 + 5 wrt q?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + -130330100?\nAnswer: -130330113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 e when four letters picked without replacement from eeqqeqeqeqeee.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3484*j + 2641 = -765*j - 73841 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - ((-3 - -2) + -2)) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11337 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 8. Calculate the remainder when 21*(2 + -3 + n) is divided by 3 - (28\/(-2) + (-35)\/(-7)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 18. Suppose -2*v + 4*g + 32 = 0, 0 = 5*v - 0*g + q*g - 80. What is the smallest common multiple of 20 and v?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 613*y - 617*y, -d - 4*y - 9 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-14)\/(d*(d*d**7)\/d) assuming d is positive.\nAnswer: d**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03503 rounded to 3 dps?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxp when three letters picked without replacement from zxphu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -192, -285, -378, -471?\nAnswer: -564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29509\/8 + 3677. Let u = 1915 - 9638\/5. Calculate the common denominator of u and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*s**2 - 22*s**2 + 21*s - 19 - 21*s**2 + 1.\nAnswer: -3*(s - 6)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7256 from -892656.\nAnswer: -899912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65840543500 - 65840496526.979993. Let v = a - 46973. Let x = v + -0.02. Round x to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1047*d + 151262. Determine a(-143).\nAnswer: 1541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110217408?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*27.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(-1051 + 1051 + 149*q) in the form j*q + l and give j.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**3 - 3*u**2 + u - 2. What is l(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (298\/3278*(-11)\/2)\/(-1*2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288486 is divided by 824.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 320*h + 1. Let n be x(6). Suppose 5*b = 2*a + n, b - 391 = -4*a + a. Suppose -5*c + b = -0*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 10. Suppose -2*h + 4*s = 0, -2*s + 0*s = 5*h. What is the tens digit of t(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11860\/(-4151)*21\/2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*c - 48*c + 126*c**2)*(-7*c + 5*c + 8*c).\nAnswer: 756*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - -3)*-4*1. Suppose -r*c = 3*o - 13, -c - 3*o + 14 = 4*c. What is the greatest common factor of 7 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*c = -2628 + 148 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -13*j - 404. Determine p(-32).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 33 = -4*k, 3*y + 4*k - 99 = 5*k. Is y a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.99 in -0.4, -4, -2\/19, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-24)*(2\/63)\/(46\/69)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 216*k - 654. What is l(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(60)\/sqrt(5))\/sqrt(6) - -2*sqrt(12)\/sqrt(6)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -994 divided by 1\nAnswer: -994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.67772735 rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*n + 274, 231*n - 695 = 226*n - 3*c. Calculate the highest common factor of n and 8023.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.1817 + 2.181712189. Round w to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 15*i**2 - 6 - 9 + 0*i + i**2 + 3*i. Let j be p(10). What is the hundreds digit of (-4)\/6*(-2 + j\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/12, -2.4, -2\/5.\nAnswer: -2.4, -2\/5, -1\/12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 211234193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 p when two letters picked without replacement from {x: 1, p: 4, q: 8}?\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 89*m - 90*m. Which is the nearest to -1? (a) 13 (b) -2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/7, -12, -1\/42?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25713, 25714, 25715, 25716?\nAnswer: 25717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 130287951*z - 4805208.\nAnswer: 130287951","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1101056 and 2530?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**2 + 0*b**2 - 27*b**2.\nAnswer: -34*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k - 75. Let j be d(0). Let q = j - -112. Let s = 33 - q. Which is the second smallest value? (a) -2 (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 68*d - 608.\nAnswer: (d - 8)*(d + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3a93 (base 11) to base 6\nAnswer: -40321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 0*m - 1\/420*m**6 + 0 - 2*m**2 + 1\/210*m**5 + 1\/7*m**3 + 5\/84*m**4. Factor u(d).\nAnswer: -2*(d - 3)*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -120.2 - -123.2. Which is the second smallest value? (a) m (b) 9 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1603 or 1602?\nAnswer: 1602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -95*n - 1. What is the tens digit of b(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y. Let f(s) = 2*s - 6. Let l be f(4). Let a(w) = -2*w + l*w - 2*w. What is b(a(j))?\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3968 + 3592. Which is smaller: d or -374?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, g: 1, t: 1, h: 4, l: 2, k: 4}. Give prob of picking 1 r, 1 g, and 1 l.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104442 - 24525?\nAnswer: -133411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168500 is divided by 29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 66130524, 132261044, 198391564, 264522084, 330652604, 396783124?\n\"Answer: 66130520*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1413029748 rounded to 3 decimal places?\nAnswer: -0.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 40*c + 45. Let i be x(-39). Suppose -u = i*u - 14. Suppose a + 14 = 3*a. Solve u*g - 1 - a = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*p = 6*p - 22, 0 = -4*a - 4*p - 32. Let i = 5 + a. Let g = i - -5\/2. What is the smallest value in 3, -5, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -831\/9821 - 1\/427. Let s = m + -13\/115. Let x be (0 + 1)*(0 + -1). Put -1\/6, x, s in increasing order.\nAnswer: x, s, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -288 in -3\/10, -1, -3.8?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -10004398.9?\nAnswer: 10004398.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w**2. Let t(r) = r - 5. Let l be t(5). Let j(f) = -f**2 + 0*f**2 + 0*f**2 + l*f**2. What is c(j(n))?\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j**2 + j**2 + 5 - 2*j**2 + 3*j**3 - 2*j**3 - 2*j. Let v be x(-4). Find the common denominator of -29\/6 and v + 3619\/490 + 4\/(-14).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3775*f**3 + 2848 wrt f?\nAnswer: -11325*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 1:28 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 129*q**4 + 134*q**4 - 3*q**3 + q - 265*q**4 - 2*q**2 in the form p + a*q**2 + w*q**3 + n*q**4 + b*q and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-291)\/(-57) - (-5 + 97\/19). Solve w*t - 6 + 1 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p + 34 + 4*p - 11*p - 34 + 7828*p**2)*(2*p + 15*p - 4*p).\nAnswer: 101764*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2639022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31443 or 31444?\nAnswer: 31443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 7*b**2 - 8*b - 9. Let f be p(-6). Suppose -28 = -5*u + 72. Suppose 5*j - 26 = -z, -f*z - j - u = -7*z. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2885.6582 to the nearest integer.\nAnswer: 2886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(99) + sqrt(275)*2 + (-2*sqrt(396)*-1)**2.\nAnswer: 13*sqrt(11) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u + 5*u + 137 + u - 168 to the form m*u + v and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {s: 3, b: 12}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -44, -67, -90, -113?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/6346522 and -61\/312.\nAnswer: 76158264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 928171 and 533882.\nAnswer: 2449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31\/2*x**2 + 1\/2*x**3 + 128 + 112*x.\nAnswer: (x - 16)**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80188, -80189, -80190?\nAnswer: -80191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1458, -5821, -13086, -23253, -36322, -52293?\nAnswer: -71166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13807633 + 5.\nAnswer: -13807628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -81, -39, 37, 159?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 653617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6487)\/(-546) + 60\/(-6) and -77\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftff when four letters picked without replacement from {f: 3, a: 5, t: 1}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 y when two letters picked without replacement from {v: 1, l: 1, y: 1, w: 1, u: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 2174333?\nAnswer: 21743330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.0007590749+15.351\nAnswer: 15.3517590749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/18 and -46\/55.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1235948 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 280 and 28938?\nAnswer: 578760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27846 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -1)\/(-4)*54. Suppose -32*f + 28*f = -4184. Let s = -1010 + f. What is the highest common divisor of o and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 7*a - 2. Let c be v(6). Let w = 18 - 14. Let s(f) = -5*f**3 + 2 - 7 + c*f**3 - 6*f + 2*f**3 + w*f**2. Determine s(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.8392 - -2.\nAnswer: 14.8392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4209 and 777423.\nAnswer: 47422803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (3 + (-1 - 2)) - (533 - 547)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 15*q - 5*b = -2510, 2*b = -2*q + 1680. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -407195*d**3*q + d**3 + 9*d**2*q**2 + 123*d*q**2 + 2*d*q - 3*d + 3*q**2 + q - 1622 wrt d?\nAnswer: -2443170*d*q + 6*d + 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -57326 smaller than 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h + 4 - h**2 - h**2 + 0*h**2. Let k = -142 - -139. Let o be k - ((-12)\/(-20) - (-76)\/(-10)). Let s(w) = w**2 + w - 1. Give o*s(l) + x(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 213599 - 662797 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*h**2 - 8*h**6 + 2*h**2 + 10*h**6 wrt h.\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 106.84 and -0.80259?\nAnswer: -85.7487156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 569241 and 189?\nAnswer: 3984687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1175120*j + 1651274.\nAnswer: -1175120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.496852km in millimeters?\nAnswer: 1496852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 43, 5, 17, 1, 381 in descending order.\nAnswer: 381, 43, 17, 7, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5927 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47633\/17030 - -444\/131. Calculate the common denominator of -49\/6 and p.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*g + 13587 = 0, -2*g = -69 + 59. Is 41 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90370, 90372, 90370, 90364, 90354, 90340?\nAnswer: 90322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 13*x + 5. Let r be q(-3). Let l be 7\/35 + r\/20. Let s be 30\/56 + 4\/(-16). Which is the nearest to s? (a) l (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -120 + 1b?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 695 is divided by 231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t + 5*t + 2*t + 3*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 + 2*g**3 + g**3)*(-6*g**2 + 2*g**2 + g**2 + (13*g - 17*g + 8*g)*(4*g + 2*g - 4*g + (-1 - 1 + 4)*(g - 4*g + 2*g) + 0*g + 0*g - g + 11*g - 7 + 7)).\nAnswer: 74*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4\/17)\/(k**13*k) assuming k is positive.\nAnswer: k**(-242\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5*j**3 + 19880*j**2 - 21529820*j + 42980080 = 0.\nAnswer: -4862, 2, 884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**4 - 1326*k**3 + 43731*k**2 + 23317404*k - 23359812 = 0.\nAnswer: -107, 1, 226, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40727 is divided by 7119.\nAnswer: 5132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3564 + -1516. What is the greatest common factor of g and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/138620 and -97\/1434.\nAnswer: 415860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qzqqqqzqzz. Give prob of sequence qzz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-10))\/(52\/(-20)). Let n = -1 + 1. Do i and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(432) - sqrt(432)) + sqrt(432))*6)**2 + 3 - (sqrt(300)*-4 - sqrt(30)\/(sqrt(10) - sqrt(640))).\nAnswer: -17865*sqrt(3)\/7 + 15879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 7*q**3 - 3*q + 6*q**3 + 2*q - 12*q**3. Let l(h) = 12*h**3 + 2*h**2 + 2. Let a(w) = -4*b(w) + l(w). Let s be a(-1). Which is bigger: -11 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, s: 1, r: 2, j: 13}. What is prob of picking 1 h and 1 s?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/68*(-16)\/84.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1697, -1688, -1679, -1670?\nAnswer: -1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 19658.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m**2 + 11*m - 5. Let f be l(-6). Let k be 4*(3\/24)\/(f\/(-14)). Are -1 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 53, 92, 149, 230, 341, 488, 677?\nAnswer: 914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 15. Let g(u) = u + 16. Let d(b) = 3*g(b) + 4*i(b). What is the remainder when d(-19) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*v + 77*v - 156 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 44. Let h(m) = -m**2. Let a(b) = 2*b**2. Determine j*h(q) + a(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 219941\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 4*x**2. Let d be u(2). Suppose m + m = d. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 9*z + 12. Let n be x(10). Put -2, n, -4, -572 in descending order.\nAnswer: n, -2, -4, -572","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 46 = 17844*x - 35688*x + 17848*x, -n = 5*x - 54 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177423?\nAnswer: 3, 59141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807006590 a multiple of 815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -610506, -1221030, -1831554, -2442078?\n\"Answer: -610524*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-51176)\/336 - (-1)\/7. Let o = f - -151. Which is bigger: o or -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n + 3. Let l(a) = -6*a - 4. Let b(i) = 3*l(i) + 4*w(i). Let s(y) be the first derivative of 4\/3*y**3 + 1 + 0*y**2 + 0*y. Determine s(b(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 217247 from 13.\nAnswer: -217234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1426 divided by 6\nAnswer: -713\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12240 (base 6) to base 5.\nAnswer: 24244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12246 - 36740\/3. What is the second biggest value in 2, -820\/7, g, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**5 - 3790*p - 149*p**3 - 2*p**2 - 459876*p**4 + 459876*p**4 wrt p?\nAnswer: -20*p**3 - 894*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**3\/9 - 364414*j**2\/9 + 16600970800*j\/9 - 116188940000\/9 = 0.\nAnswer: 7, 91100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16232095779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 + r**2 - 5*r**2 + (66*r + 4*r + 33*r)*(2*r - 2*r - 3*r) - 2*r**2 - 4 + 4.\nAnswer: -318*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -115 + 143. Let a be ((-14)\/v)\/(((-2)\/1)\/40). Solve y - 2*w = -a, -6*y = -3*y + 3*w + 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 49 - 45, 4 = 4*b - 4*r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23667 + -1634787.\nAnswer: -1658454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21422 + -10?\nAnswer: 21412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 255?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749.\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 10. Let w be z(-10). What is w rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1212303210 + 10220?\nAnswer: -1212232330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*n**2 - 260*n**2 + 3 - 1 + 580*n**2.\nAnswer: 75*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-77)\/(-42) + (-5)\/6. Suppose 3*n = -y + 12, -6 = -3*y + y. Solve -n + t = 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -163 - -793. Is 7 a factor of p\/(-27)*6\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -56, -64, -74?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275441.\nAnswer: 53, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4006943317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -14*q**3 - 155*q**2 - 17*q - 45. Let c be p(-11). Calculate the greatest common divisor of 2121 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18195 = 25*a - 10*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x - 168 = -27*x. Let j = 15 + -9. Suppose 2*n = j*n - x. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0597386358 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7653311?\nAnswer: 31, 271, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, e: 1}. Give prob of picking 2 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j**3 + 5*j**3 - 14 + 53*j**2 + 12 as d*j**2 + p + a*j**3 + c*j and give d.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.53 - 0.529959. What is k rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**2*t**3 + 2*m**2*t**2 + 2858482*m*t**3 + 14*m*t**2 + 11*m - 2713*t**2 wrt t.\nAnswer: -6*m**2 + 17150892*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-1\/19)*m*m)*m)\/m*m*m**(-19)*m\/(m**5\/m)*m\/(m**(-16)*m) assuming m is positive.\nAnswer: m**(-113\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-4)*(5 - 3). Suppose -y*b - 2 + 17 = 0. Suppose 0 = -0*g + 3*g + 2*p - 20, -b*g + 4 = -2*p. Calculate the lowest common multiple of 9 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5 + 0 = 0. Let k be (10\/(-11) + 2)\/r. Let a(f) = -2*f + 3. Let m be a(2). Is k at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -156*r - 1034 + 835 + 4203 + 4108 for r.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3056 a factor of 119372236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 475*r**2 + 6 - 9*r - 50*r + 15*r + 3*r**3 - 476*r**2 - 17 to the form q*r + p + n*r**3 + a*r**2 and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2484280 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, e: 9}. Give prob of picking 2 r and 2 e.\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -562840 or -562841?\nAnswer: -562840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 48\/(-42)*-1*7\/6. Let c(w) be the first derivative of 6 - 3*w**2 - u*w**3 + 0*w. Find the second derivative of c(x) wrt x.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 13*t - 15, 3*x + 3998 - 4004 = 4*t for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8959, 35834, 80631, 143350?\n\"Answer: 8961*h**2 - 8*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-3)*n*n*(n*(n*n**0\/n*n*n)\/n*n*n*n)\/n)**(-4\/9)*(n**4*n\/(n*(n*n**(-2))\/n*n))\/((n**(2\/9)\/n)\/n**3) assuming n is positive.\nAnswer: n**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 232 + 51102?\nAnswer: 51334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 9*v - 12. Solve k + k = v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - l**2 + 6*l - 10. Let x(n) = n**3 - n**2 + 1. Let g(h) = -d(h) - 6*x(h). Let w(m) = -6*m**3 + 8*m**2 - 7*m + 5. Give 7*g(q) - 6*w(q).\nAnswer: q**3 + q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y**2 - 9*y + 15. Let s(h) be the first derivative of 7*h**3\/3 + 9*h**2\/2 - 16*h - 7. Let l(t) = -4*i(t) - 3*s(t). Determine r so that l(r) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 32. Let o be f(0). Let p(d) = -d**2 + 7*d + 6. Let i be p(5). Calculate the greatest common factor of o and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 12798.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 3, x: 13}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40426111987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 954\/848*1472\/(-276).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 96109309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2 - 13119*f - 1575322 = 0.\nAnswer: -119, 13238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.78459um in meters?\nAnswer: 0.00001878459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 41, -5, -0.014?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 313119 divided by -313119\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p - 4*p + p**2 + (-2*p + 3*p - 3*p)*(4*p + p - 3*p) - 975 + 18*p**2 + 975 + (4*p - 2*p - 3*p)*(p + 3*p - 3*p).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 34 = 2*m, 5*m = -v - 3 - 1. Suppose v*t - 165 = 3*t. List the prime factors of t.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((264\/11)\/72)\/((-1)\/(-33))*1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j + 58 = -28*j. Which is greater: 0.01 or j?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -13\/5847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8*-1)\/((-14)\/14).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3) + (-2)\/(-6). Let r be 2*((-6)\/(-4) - k). Suppose -r*o = 2*o - 10. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122661 and 413.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -64572, -129136, -193700, -258264, -322828, -387392?\n\"Answer: -64564*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 12. Let b = 9 + p. Suppose -5*h + 82 = -b. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1803, -3621, -5439, -7257, -9075, -10893?\n\"Answer: -1818*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 4 (b) 0.04 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 8554206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*p - 6 - 10, 2*d = 5*p + 13. Let k be ((3\/(-3))\/p)\/((-4)\/(-24)). Suppose 408 + 498 = k*n. Is n a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -6*d + 35. Let r(y) = y**2 + 2*y - 5. Let n(b) = -b**2 - b + 3. Let x be 0\/17 + (-1 - -3 - -1). Determine d*n(f) + x*r(f).\nAnswer: -2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 269 - 257. Let a = n + 33. Is a at most as big as 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30590819 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -453\/487?\nAnswer: -453\/487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253856, 253864, 253884, 253922, 253984?\nAnswer: 254076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18509 - 18498.8425. What is m rounded to one decimal place?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 + -87. Let a(g) = -g**2 - g + 1. Let j(l) = -7*l**2 - 14*l + 3. Let k(v) = q*a(v) - j(v). Find the second derivative of k(u) wrt u.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, u: 3, d: 4}. Give prob of sequence uy.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4229 times -4?\nAnswer: -16916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 - 3*g**2 + 6*g**2 + 752*g - 240 - 753*g.\nAnswer: g**2 - g - 240","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11020100022011 (base 3) to base 2.\nAnswer: 1000100101011110010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-5))\/(2\/2))\/1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1107, -0.1, -1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.5 - 4. Let w = g + -0.6. Let j = w - -0.10000036. Round j to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 14897*q - 29824*q + 14910*q - 50 - 30. What is y(-3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(3) - (-3 + (1 + sqrt(3) - sqrt(3)))) + -3.\nAnswer: 9 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 441 or 438?\nAnswer: 438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 9*r**2 + r + 17. Let q be 194\/(-22) + (-12)\/66. Calculate the remainder when 15 is divided by z(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.867543 rounded to 2 dps?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 - p**2 + 3*p**2 + (p + 4*p - 3*p)*(-56852 + 2*p + 117043 - 58613) in the form o*p**2 + s*p + v and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 229*g + 2070. Give k(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20767625 is divided by 124357?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) -1\/5 (c) -0.88 (d) 4.0038\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 12*k**2 + 1. Suppose 0 = -7*s + 6*s + 1. What are the prime factors of u(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-381*v - 87802 + 87802)*(2*v**2 - 3 + 3).\nAnswer: -762*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-376)\/(-1128))\/((-2)\/162)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 26013?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = b + 86, 5*g + b - 146 = 4*b. Let w be 6\/(-8) + (-64399979)\/g. What is w rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.218 times -1067.1\nAnswer: 232.6278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*n**3\/7 - 12*n**2 + 86*n\/7 + 12 = 0. What is n?\nAnswer: -3\/5, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6780475707 - -3101.9\nAnswer: 6780478808.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -157 + 57. Let o = -96 - r. What is the closest to 1\/2 in o, 1.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**6\/360 - q**5\/24 - q**4\/6 + 3*q**3\/2 + 3*q. Let m(a) be the second derivative of y(a). Calculate m(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 12*i**4\/7 - 33752*i**3\/7 - 1660*i**2 + 1035424*i\/7 - 675120\/7 = 0.\nAnswer: -6, 2\/3, 5, 2813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -373 to the nearest ten.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -174*w + 48*w + 58*w to the form t + b*w and give b.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 3*j - 13 = -0, 0 = 4*i + 8*j - 36 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2\/5 - 57994*z\/5 = 0. Calculate z.\nAnswer: -28997, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**3 + s**2 - s - 1. Give k(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149957 divided by -8821.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.873 plus 588?\nAnswer: 658.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62130 and 111834?\nAnswer: 559170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2\/4 - 4836*z - 14259105\/4 = 0. What is z?\nAnswer: -711, 20055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 22 = -4*u, 5*a - 2*a = -5*u + 30. Suppose -a = 5*q, 0*n + 17 = 3*n + q. Suppose 4*w - 81 + 17 = 0. Calculate the least common multiple of w and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 1\/24*v**4 + v**3 + 0 - 5*v**2 + 0*v. What is i(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026481395 rounded to 3 dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 = 2. Let k(o) = -2 + r*o + 2. Let n(z) be the second derivative of z**4\/12 + z. Calculate k(n(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 3*r - r)*(-2*r + 6*r - 2*r) + (r + 3 - 3)*(-2*r + 2 - 2) - 2*r**2 - r**2 + r**2 + r**2 + r**2 - r**2 + r**2 - r**2 + r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249297296.\nAnswer: 2, 431, 36151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1869 - 44 = 413*q + 5108 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -269, 1\/8, 4\/13, -3 in ascending order.\nAnswer: -269, -3, -1\/5, 1\/8, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6660, 26442, 59398, 105522, 164808, 237250, 322842?\nAnswer: 421578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ocfufii. Give prob of picking 1 o and 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvhvvvhvvvv. What is prob of picking 4 v?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 117, 167?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3584 divided by 1?\nAnswer: -3584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbb when three letters picked without replacement from {b: 4, w: 16}.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 + 4*n**2 - n**2)*(-1 + 2 + 1)*(-4 + 1 + 4 + 3 - 5 + 4 + 1 - 3 + 1 + (3 - 1 + 0)*(1 + 0 - 3)) + 4 + 19 - 25 + 3*n**2.\nAnswer: 7*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m + 4. Let p(w) be the second derivative of 0 + w**2 + 1\/6*w**3 - 2*w. Give 2*j(h) - 5*p(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 0, 4, 11 in descending order.\nAnswer: 11, 4, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.4, 0.01, 2\/31, 0.061?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000340301 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/416 and -9\/5200.\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, e: 1, c: 1, p: 6, u: 2, o: 3}. What is prob of picking 2 y?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 divided by 4?\nAnswer: 255\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 35. Let s be v\/4 - 1\/2. Solve 1 = -b - r, 5*r + 1 + 2 = -s*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 4. Let k be f(0). Let l(w) be the first derivative of 9 + 1\/4*w**4 + w**3 - 5\/2*w**2 - 3*w. What is l(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 12 = 0, -x + 12*q + 21 = 7*q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**6\/780 + 2*c**5\/195 - c**4\/156 - 2*c**3\/13 - 2*c**2 - 1. Solve t(n) = 0 for n.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 10:08 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6389*f**4 + 13*f**3 - f**2 - 2*f - 7265263 wrt f?\nAnswer: 25556*f**3 + 39*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -5.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215326338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4165, -4169, -4183, -4207, -4241?\nAnswer: -4285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 35*m**2 - 49*m**2)*(93 + 50 + 26 - 377 - 410).\nAnswer: 52530*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 581239819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 5399964.77861 and -0.3.\nAnswer: 5399964.47861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 854?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16582387.5ms to weeks.\nAnswer: 0.02741796875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 5)*(-1509 - 1075 - 9164)*(-3*f + 6*f - 4*f).\nAnswer: -11748*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*l - 18, -3*l - 3*g + 5 + 13 = 0. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i - 38 + 298 = 40*i. Solve 0 = -3*n - 12, -i = g + 3*n + n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101111100110 (base 2) to base 12.\nAnswer: -b2b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/4 and -1.9834 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 36.58 and 13.807.\nAnswer: 505.06006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.7 - 1.568. Let l = d - -26.968. Let v = l - 5.1. Is 1 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -47*t**2. Let m(w) = 4*w. Let k(j) = -2*j. Let v = 138 - 148. Let x(f) = v*k(f) - 6*m(f). Determine x(a(s)).\nAnswer: 188*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide -51*(5\/3)\/(17\/(-187))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21638554 or -21638555?\nAnswer: -21638554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**3 + 5*s**3 - s**4 - 2 + 43*s - 21*s**4 - 43*s + s**3 - s**4 - s**3 + (-s - 4*s + 4*s)*(s**3 - 4 + 4) - 4*s**4 + 0*s**4 + 2*s**4.\nAnswer: -26*s**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -10 (b) -15 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 3:25 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 + -dd317?\nAnswer: -dd305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*t**2 + 26*t**2 + 3825*t - 3825*t.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkq when three letters picked without replacement from {k: 13, q: 6}?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12414 by 9957.\nAnswer: -4138\/3319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - i + 34 = 2*a, a - 11 = 4*i. Let d = a - 4. Let w be (0 - 0)*1\/2. Solve 0 = -d*g - 3 - w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/2 and (-2)\/(-88)*(5 - (199 + 0)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-83)\/(-2) + 18\/(-12). Suppose 0 = -5*g - 4*x + 76, 3*g + 4*x - u = g. Calculate the highest common factor of g and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2875 + -1621. Calculate the highest common factor of 76 and y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 7:21 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-24)*(-1)\/((-3)\/12)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 5, -56, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -353 + 24.\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.398 at least as big as 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, f: 3, d: 1, j: 1, p: 8, h: 1}. Give prob of picking 1 d, 2 f, and 1 j.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x + 105. Let f be v(38). Which is the second smallest value? (a) f (b) -1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2375 + -14119\/6. Find the common denominator of ((-303)\/(-9))\/(-3 - -1) and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*j + 43 = -x + 181*j, -j = -7*j + 24 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/2*(-2014)\/152. Solve 39 = -7*m + y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 4 - -1) + -1 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 156, 254986 in decreasing order.\nAnswer: 254986, 156, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25.9 + -148.9. Let j = 119 + d. Which is the third smallest value? (a) 3 (b) 14 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*k - 76*k - 16 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 4*d - 16*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 7*m**2 + 7*m - 6. Suppose b + 5 = 22. Suppose 2*s + 5 - b = 0. Let g be o(s). What is the biggest value in 1, -0.12, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4205 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 4:03 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - 49?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445976.\nAnswer: 2, 107, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(64)\/sqrt(8)*-1) + -4.\nAnswer: -4 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 1. Let w(n) be the second derivative of n**2\/2 + 20*n. Let u(q) = m(q) + 4*w(q). Let h(o) = -2*o - 6. Give 3*h(s) + 5*u(s).\nAnswer: -s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 410609166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18637314.57 seconds to weeks.\nAnswer: 30.815665625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3517368 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*p + 61*p + 4*q - 68 = 0, q + 3 = p. Solve i = 0, -29*l - p = -24*l - 3*i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147 by -49.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 8*s - 6. Suppose 13 = 3*f - 5*z, 0 = -3*f - 5*z + 2*z + 21. Let r be b(f). Suppose -2*v + r = v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.69992 - -1.7. Round o to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78 + 86. Suppose 2*q + 2 = 34. Let n(u) = -u**2 + 18*u - 9. What is the remainder when n(q) is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296877 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0\/(g*g**1*g)*g*g**(-4)\/g*g**(-4\/3))**30 assuming g is positive.\nAnswer: g**(-250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13307.\nAnswer: 7, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 656.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36206328 is divided by 112442.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-3)\/(3 + (-96)\/28). Let f = 2 - -1. Let t be (-33)\/(-6) - 1\/2. Solve 0 = f*z - j - t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkgkgkllklk. Give prob of picking 1 k and 1 l.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20036065?\nAnswer: 5, 7, 43, 13313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39817 + -1.\nAnswer: -39818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 * 38.104\nAnswer: 45.7248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u + 21*u + 45 = 0. Suppose -u*k = -6*k + 303. List the prime factors of (1 - k) + 4\/(-4).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 0.23 (c) -5 (d) -1 (e) 0.18353 (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6719, 26909, 60559, 107669?\n\"Answer: 6730*r**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (51 - 64) + 19 - 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*h = 27 + 2, 5*z + 5*h - 35 = 0. Suppose -5*n - z*k - 152891 = -484768, -199122 = -3*n - k. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -51, -187, -327, -471?\n\"Answer: -2*v**2 - 130*v + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, w: 5, s: 1, m: 2, i: 3, v: 1}. What is prob of sequence sw?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/4)\/(4\/14). Let f be (-5)\/j*(-4)\/(-10). Let r = -6 - -6. Which is the third biggest value? (a) f (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 4 = -3*g, 1144*g - 1143*g - p - 4 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25797547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4966.565 days to seconds.\nAnswer: 429111216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 636*t = 665*t. Let k be 3\/7*(-8)\/(-6). Which is the second smallest value? (a) t (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1014220 and 608532.\nAnswer: 3042660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + l**2 + 2*l + 10. Let b be f(0). List the prime factors of 39 - (-2)\/b*-5.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9367916 divided by 9?\nAnswer: 9367916\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/7))**(4\/37)*(s\/s**1)\/s**(-1\/2) assuming s is positive.\nAnswer: s**(299\/518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l + 24 = 13*l. Sort 1, 11, l.\nAnswer: l, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1745, 1774, 1853, 2006, 2257, 2630, 3149, 3838?\n\"Answer: 4*n**3 + n**2 - 2*n + 1742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 72\/(-39) + 4156\/26. Let u be (-92)\/v - 24\/(-64). Let g = 34\/3 - 167\/15. Which is the second smallest value? (a) u (b) 1\/2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-533)\/39 - -13)*3\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33330.89 litres to millilitres.\nAnswer: 33330890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 14\/45*b**5 + 8\/9*b - 16\/9*b**2 - 19\/18*b**4 - 1\/27*b**6 + 50\/27*b**3 + 130. Factor k(l).\nAnswer: -2*(l - 2)**2*(l - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*(sqrt(1088)*2 + -4)**2 - ((2*(sqrt(1088) + 1))**2 + (2*(sqrt(1088) + -1 - sqrt(1088)))**2)) + 4).\nAnswer: -192*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p - 28. What is the tens digit of s(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12905*s**2 + 13259*s**2 + 2201*s**2 - 4140*s**2 to the form v + o*s**2 + q*s and give o.\nAnswer: 24225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 507*o**2 - 6*o - 2. Let v(b) = 637301*b**2 - 7545*b - 2515. Determine -4*v(m) + 5030*z(m).\nAnswer: 1006*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54305839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 4 + 2)*(-4 + 1 + 2) - 1 + 0 - 4)*(3*x - 4*x**3 - 3*x) to d + z*x**2 + b*x + y*x**3 and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > 2\/30797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 539679381 to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*m)*(3*m - 2*m + m) + 0 + 0 - m**2 + 5045*m - 341*m**2 - 5045*m.\nAnswer: -338*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**3 - 516*s**2 + 4272*s - 8640 = 0.\nAnswer: -180, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, p: 1, l: 1, k: 1, h: 1}. What is prob of sequence klha?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10 - 208\/24)\/((-1)\/(-6)). Solve 3*s = 2*b + 6, 0*b + 4*b - 4*s + p = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**5\/30 - 5*n**4\/24 + 11*n**3\/3 + 14*n**2. List the prime factors of d(7).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v**2 - 40715*v - 325643. Give o(-8).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 5*c**5 + 17018*c**4 + 14436475*c**3 - 86461874*c**2 - 19216341984*c + 27032664960 = 0.\nAnswer: -1704, -35, 7\/5, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.0541.\nAnswer: -0.2705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/13 - 51\/26. Let i = 10 - 9. Let r be (-75)\/7475 - (-1)\/(-13). What is the nearest to i in r, v, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**6\/30 + c**4\/8 + c**3\/3 - 19*c**2. Suppose -5*i + 5*a = 30, -4*i = 4*a - 11 - 5. Let s be g(i). Solve 20 = t + s*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20400 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bin when three letters picked without replacement from imbcnjjnb.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by ((540\/16)\/(-5))\/(4\/(-16))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*b - 10 = -168*b + 4*x, -4*b + 4*x = -8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 18120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 11. Let n = 4.9 - k. Let r = -0.096 - n. Round r to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 23.70885 years?\nAnswer: 0.2370885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 6 + -3 - -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 9*a + 7. Let n = -177 + 152. Let f = n + 31. What is k(f)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19610, 76557, 171468, 304343, 475182?\n\"Answer: 18982*f**2 + f + 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*(6\/3)\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**6\/15 - m**5\/12 + m**4\/8 - m**3\/6 + 67*m**2 + 75. Let s(z) = -9*z**3 + 6*z**2 - 4*z + 1. Determine -4*g(c) - 3*s(c).\nAnswer: -5*c**3 + 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 467*z - 470*z + 1710 = 0. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 702.\nAnswer: -1\/234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23584251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.8713 + -0.1\nAnswer: -0.9713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 4*f + 20, -8*f + 3*f - 25 = 5*i. Is 35 a factor of 468 + -1 + i\/(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7451145 is divided by 181735.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -2402171?\nAnswer: 2402173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.73 - -3.2. Let j = -5.53 - u. Is j greater than -250\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 10*r - 15. Let m be 16\/28 + 4 + (-232)\/14. Determine o(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 2*s + 3. Let w be k(3). Suppose 2*q + 28 = w*q. Let d = q + -2. Let z(c) = -c**3 + 4*c**2 + 5*c + 3. Give z(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6291.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.2, -65, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -4\/3*o**3 + 0*o**5 + 0*o + 10 + 0*o**4 - 3\/7*o**7 + 0*o**6 + 0*o**2. What is the third derivative of p(y) wrt y?\nAnswer: -360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 32 - 893*b + 56)*(-5*b + 4*b + 0*b).\nAnswer: 893*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10921*g*p**3 + 38*g*p + 5*p**3 - 809*p**2 wrt p.\nAnswer: -65526*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 192.7 + -193. Sort 2\/3, 0.1, r in ascending order.\nAnswer: r, 0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6486 (base 9) in base 14?\nAnswer: 1a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 89 or -2851?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63047 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -50 - -110?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -19)*(2 - 4). Suppose 4*v + b = 4*h, 2*h = -h - 2*v + 39. What is the highest common factor of 22 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 17552*r - 280576.\nAnswer: -(r + 16)*(r + 17536)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 15, -40903, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 2. Let y be b(4). Let o = y + 18. Let z = o + 24. Is 20 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2329816703 to the nearest integer?\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 10 + 2\/5*k**2 - 4*k = 0. What is k?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*z - 8 = 53*z. Suppose 0*f - z*f + 36 = 0. Suppose -y = -3*h - 51, 5*y = -5*h - 174 + 509. What is the greatest common divisor of y and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.1 + 7. Let w = 18.1 + q. Let t = 18.0000007 - w. What is t rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1520 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7397 times -34\nAnswer: 251498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 15*m + 9. Let n be i(15). Let h = -6 + n. Solve -5 - h = -4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2656 by 4.\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*k**2 - 128*k**2 + 5*k**3 - 127*k**2 - 20*k**2 - 2*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -385, -987, -1887, -3091, -4605?\n\"Answer: -m**3 - 143*m**2 - 166*m - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1774349595?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1. Let m(x) = -20*x + 15. Let y(q) = 5*h(q) + m(q). Let s(u) = -7*u + 7. Let a(i) = -17*s(i) + 6*y(i). Let p be a(1). Solve 0*d + 2*d + 10 = p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11421272 divided by -788\nAnswer: 14494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93\/20 - -17\/4. Let b = 11 - 11.7. Let t = 4.3 - b. What is the closest to d in -1\/2, t, 1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*o + 451 = -52*o + 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-eight thirds of a century in months?\nAnswer: 27200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t - 86 - 82 + 337 - 88 - 86. What is o(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -22. Suppose 4*x - i = 2*q, -2*x - 2*q = -5*x + 9. Does 26 divide x\/(((-12)\/4)\/(-189))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 4*s + 24, 0 = 4*o + s + 4*s + 28. Let l = 4 + -5. Let q(a) = 4*a + 1. Let n be q(l). Which is smaller: n or o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6 = 3*x - 4*x, -2*x = 3*t - 11. Let n be 4\/(t*4\/10). Suppose -5*z + n = 4*c, -6 = -z - 2*z + c. What is the lowest common multiple of z and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1768*v + 1654*v - 7449*v + 0*v + v + 0*v - 5*v + v + 5*v + (2*v + 1 - 1)*(-2 + 3 - 3) - 4 + 5 + 2*v - 3*v.\nAnswer: -4030*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17*((-56)\/(-7) + -7). Suppose 127 = v*k - 451. Calculate the greatest common divisor of 34 and k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -53. Which is bigger: t or 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 + 63. Suppose 4*p = 5*p + d*t - 28731399, -p + 2*t = -28731379. Let z = -54731387 + p. Round z to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0119, -649\/5, 3 in decreasing order.\nAnswer: 3, -0.0119, -649\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1917330?\nAnswer: 2, 3, 5, 79, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -106073 - 6471?\nAnswer: -114564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 535785 and 19619?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 31. Which is the closest to 2\/3? (a) 0.1 (b) g (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15380780 or 15380778?\nAnswer: 15380780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86076.81 weeks to minutes.\nAnswer: 867654244.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84546 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 188313 - 1?\nAnswer: 188312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -155 - -5?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -927, -1816, -2719, -3642, -4591, -5572, -6591, -7654?\n\"Answer: -c**3 - c**2 - 879*c - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0.5, 108, -4\/15 in descending order.\nAnswer: 108, 10, 0.5, -4\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 4*g - 5*g + 3 + 2*g - 3 + (2 - 2 - 2*g)*(-3 - 2 + 3))*(8 - 8 - 69*g**2).\nAnswer: -207*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5 = -5*p, 0 = 31*p - 28*p - 4*j - 26. What is the smallest common multiple of p and 1232?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 9:21 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -6*l**3\/5 + 53538*l**2\/5 + 42846*l + 160686\/5 = 0.\nAnswer: -3, -1, 8927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -739?\nAnswer: -44.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.171? (a) 2\/5 (b) -0.2 (c) -3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 2\/19, 0.201, -1.4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1435)\/246*12)\/15?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24299053?\nAnswer: 24299053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 + 5*g**2 + g + 3. Let i be o(-5). Let q = i + 125. Sort -4, 4, 12, q.\nAnswer: -4, q, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 15*i**2 - 39*i - 27. Suppose 12*w - 4*t + 4 = 11*w, -3*w - 34 = -t. Let c be z(w). Solve 3*f - c = -2*b - 2*b, -3*b = f - 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -x + 75. Suppose -5*f - 4 = -44. Calculate the remainder when x is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 157691439 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 0*a**2 + 0*a**5 - 5 + 2\/3*a**3 + 0*a + 0*a**4 + 5\/6*a**6. Find the third derivative of s(b) wrt b.\nAnswer: 300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/12 + 2915\/15 + 3. Let x be (-2)\/4 - (-63)\/l. Sort -2, -0.005, x, 2\/3 in descending order.\nAnswer: 2\/3, -0.005, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 7:39 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*f + 4*q - 14 = 0, -3*f = -4*q + 6. Suppose f*a + a - 78 = 0. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 1\/6, 308, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121542 and 54.\nAnswer: 1093878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r - 14. Let m(d) = -6*d. Let u be m(2). Let t be p(u). Let v = -8 + t. Solve 4*g = o - 15, 0*g + v*o = -g + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.94 + 0.06. Let q = -16 + 16.5. Suppose -l - 1 = -0. What is the second smallest value in s, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + b, 5*b - 3 = 4*a - 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 202*u**2 + 5*u - 738. Is c(31) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.935 - -0.06?\nAnswer: -6.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10332 (base 9) to base 7.\nAnswer: -25631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-610433.4472459\nAnswer: -610433.3472459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -160 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 10131 = -1056. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -702 + 358 - 4*k**4 - k**3 - 35*k**2 + 352 to r + x*k + t*k**3 + n*k**2 + j*k**4 and give n.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*f = -6, 4*h + f - 4 = 20. Suppose -h*u = u + 28. Which is the nearest to 2? (a) 2 (b) u (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 433*q - 73*q**3 - 433*q + (-2 + 5 - 1)*(q**3 + 3*q**3 - 2*q**3) + q**3 - q**3 + q**3.\nAnswer: -68*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -46*i**3 - 24*i**2 + 10. Let q(x) = 15*x**3 + 8*x**2 - 3. Give 6*n(h) + 19*q(h).\nAnswer: 9*h**3 + 8*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = -1 - 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 16*t**2 + t + 19. Let v be j(-16). Suppose 4*b + v*y + 492 + 185 = 0, 845 = -5*b - 4*y. Let a = -80 - b. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2. Suppose u = 3*g, 5*u - 3*g = -5*g. Let z be (u - (-1 + 0)) + 1. Let p(b) = z + 2*b - 2. What is p(l(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31002112 (base 4) to base 3.\nAnswer: -2201020201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1452)\/(-759) + 2\/23 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2. Let p = -8 + 13. Suppose 13 = -z + 14*z. Let u(n) = -3*n**2 - 2. Determine p*s(v) + z*u(v).\nAnswer: 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -10 - -12 - (13 - (6 - 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -227e (base 15) to base 11.\nAnswer: -5554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by ((-5)\/((-20)\/(-24)))\/(3\/(-14)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + ((-33)\/3 - -1) + -90 + 98.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-30)\/(-18))\/(2\/150). Let w = 231 - y. Suppose -w + 358 = 9*s. What is the greatest common factor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 235 (b) -2\/11 (c) 3 (d) -2.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*p = 6*p - 27, -2*d + 21 = 5*p. Suppose 5*r - 2295 = d*r. What is the common denominator of ((-2)\/(-3))\/((-132)\/r) and -29\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3467553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 p, and 1 x when four letters picked without replacement from sxrpppzxmxm?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2 + 8249125*m + 8249124 = 0. Calculate m.\nAnswer: -8249124, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 23*d + 4056 = 0. Let h = 344 - d. What is the remainder when h is divided by 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 15*a + 6 = 14*a, 4*a - 20 = -3*b. Solve b*k + 1 = -3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*t - 104*t - 50*t in the form j + u*t and give u.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auaaaaauaa. What is prob of picking 4 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 5*v - 0*v + 15, -10 = 2*v. Let a = -271 - -269. Calculate the smallest common multiple of n and (3 - 1)*(5 + 2) - a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99814339 - -0.1?\nAnswer: -99814338.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 352*y + 359. Let g(d) = 5*d**2 - 2110*d + 2155. Let k(j) = 4*g(j) - 25*u(j). Find r such that k(r) = 0.\nAnswer: 1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 2, -1613378 in descending order.\nAnswer: 2, -29, -1613378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-1967)\/(-2))\/((182\/(-532))\/(-13))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -13. Let f(o) = 4*o**c - o**3 + o - 2*o**2 - 1 - 4*o**2. Does 6 divide f(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 4. Let t be j(0). Let f = 1\/52 + -111\/364. Which is the smallest value? (a) t (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.23, -10.4, -0.5, -5, 1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5353.8236 to the nearest one hundred.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i*i*i**(-2)*i)\/i)**(-29\/2)*i**(-14)\/(i**(-2\/9)\/i) assuming i is positive.\nAnswer: i**(-376\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530287 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d + 2. Let q be f(1). Let g be (-5)\/10 - -50*7\/q. Suppose 0 = t + 3*l - g, -383 = 4*t - 9*t - 2*l. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 59*a + 11 + 22 + a**2 - 48*a. Let v be o(-6). Solve 6 = 3*s + 5*b - 10, 19 = -v*s + 2*b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-3\/7)\/u)**(2\/61))**43 assuming u is positive.\nAnswer: u**(-258\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -19*r**3 + 20*r**3 + 15 - 3 + 2*r. Does 12 divide u(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-7))*(c*c**(2\/13)*c*c*c)\/c)**(-1\/76))**19 assuming c is positive.\nAnswer: c**(25\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137184 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3213 (base 8) to base 12.\nAnswer: b77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -8*y**2 + 7*y + 1315. Let f(u) = -13*u**2 + 11*u + 1976. Determine 5*f(z) - 8*t(z).\nAnswer: -z**2 - z - 640","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 3*i = -9, -2*y - 51*i + 48*i + 27 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/12488 and 31\/19624.\nAnswer: 137368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b189 (base 12) to base 10.\nAnswer: -19257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w. Let r(n) = -7*n - 3. Let c(x) = -10*k(x) + 2*r(x). Let g(m) = 2*m**2 - 25*m + 8. Let l be g(12). List the prime factors of c(l).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-18)*-6*-3. Solve -4*h - p - 5 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6970 - 3*n**2 + 6970.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*sqrt(162)*2*-4)\/(-3*(sqrt(9) + sqrt(18)\/(sqrt(2) + sqrt(10)\/sqrt(5)))*-6).\nAnswer: 80*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50620, 101235, 151854, 202477, 253104, 303735?\nAnswer: 354370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -152, -5, 0, 3, 5, -3 in descending order.\nAnswer: 5, 3, 0, -3, -5, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345*f + 29277 + 738 = 0. Solve 31*b = -130 - f for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*d + 10, -d + m - 5 = -3. Suppose d*p = 5*h - 163, 6*h - 2*h - 2*p = 130. Which is the second smallest value? (a) h (b) 2\/5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 5*q + 20, -14*q + 13*q - 4 = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - k**2 + 921. Is l(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 12:06 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*w = 4. Suppose 7*l - 28 = -4*f + w*l, 0 = 2*f - 2*l + 4. Suppose 0 = f*r + r - 195. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 11. Let v = 4 + h. Calculate the least common multiple of 9 and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -10*t + 6. Let h be w(-7). Suppose 3*j - g = -49, -2*g = -2*j - 29 - 5. Let p = h + j. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p*p*p**(2\/35)*p)\/p*p*p*p**12\/p)\/(p**(-2\/9)\/(p\/p**(-1\/13))))**(-2\/89))**(32\/5) assuming p is positive.\nAnswer: p**(-4548736\/1822275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100 - 97. Suppose 4*r = 76424 + 13096. Suppose -10620 = -y*w + r. Round w to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 7:04 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3 = -4*m + 3, 2*b - m - 5 = 0. Let q be (-13)\/(-1)*(-5)\/(-7 + b). What is the derivative of 51*y - 14*y**3 - 51*y - q wrt y?\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -29*z**4\/24 + 80*z**2 + 2. Let m(o) = 13*o. Calculate m(l(p)).\nAnswer: -377*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, y: 1, m: 5, b: 5, p: 4}. What is prob of sequence ybm?\nAnswer: 25\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbzz when four letters picked without replacement from {z: 5, b: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - x**2)*(-4*x + 2*x + 3*x + (1 - 6 + 2)*(0*x + 4*x - x)) to f*x**2 + j + m*x**3 + b*x and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 39.153 (b) 2\/7 (c) 0.3 (d) 2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26226, 104883, 235986, 419541, 655554, 944031, 1284978, 1678401?\nAnswer: 2124306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -17604461*p. Let s(w) = 30*w. Determine s(f(j)).\nAnswer: -528133830*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 + 9*x - 9. Let j be (-51)\/21 - 9\/(-21). Let v(h) = h**2 + 2*h - 2. Determine j*l(n) + 9*v(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1395187.\nAnswer: 1395187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 144, 4, 1, -1, 5 in descending order.\nAnswer: 144, 45, 5, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) 2\/17 (b) -0.1 (c) -0.2 (d) -2 (e) -51\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83041901?\nAnswer: 31, 43, 62297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.4537 centuries in months?\nAnswer: 48544.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c99 - 2?\nAnswer: c97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -11 - (1 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(18\/(-12)))\/(6\/36)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/10 - 344\/(-20). Let n(r) = 7*r**2 - 883*r + 1757. Let z be n(2). Is g > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 7*d - 1. Let h be g(5). Suppose -3*y + 17 = -10. Find the third derivative of y*s**5 - h*s**2 + s**2 - 15*s**5 wrt s.\nAnswer: -360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*z**2 - 2*z - 2158 with respect to z.\nAnswer: 74*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x + 3. Let l(i) = i + 2. Let v(r) = 3*l(r) - 2*m(r). Let q(u) = -3*u**2. Let g(b) = 9*b**2. Let h(s) = 4*g(s) + 11*q(s). Determine v(h(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 1 + 9241*k**2 - 3*k - 4582*k**2 - 4661*k**2. Let o(b) = -2*b**2 - 1 - 3*b**2 + b**3 - 7*b - 2. What is 2*o(s) - 5*t(s)?\nAnswer: -3*s**3 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 6:10 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/49)\/(248\/3472).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 3e?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**3 - 3080*a**2 + 34485*a = 0. Calculate a.\nAnswer: -627, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6984\/60 - 81)\/(6\/10)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 c when three letters picked without replacement from {c: 3, n: 2, v: 1, o: 4}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 17.15. Let t = 7 + -6.82. Let s = t + j. Round s to 3 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 8 + 2 - 3 + 2 + (0 + 3 - 5)*(-2 + 6 - 3) - 1 + 4 - 5 + 2 + 3 - 4 + 0 - 3 + 1)*(25*n - 25*n + 34*n**4).\nAnswer: 136*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3*(-4)\/(-18))\/(66\/19503). Let s = 199 + l. What is the closest to -2 in -4, 2\/9, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s + 48 + 19 - 45)*(0*s**2 + s**2 - 4*s**2) + 3*s**3 - 7*s + 7*s.\nAnswer: 24*s**3 - 66*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 56 = -2*n. Suppose -4*g + n = 2*y, -4*g - 3*y + 23 = 8. Let u be 8\/48*-28*-6. Solve 0 = 2*p + g*p + 3*t + u, -p + 5*t = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*f**3*v**2 + 283*f**3 - f**2*v**3 - 2*f*v**3 - f*v**2 + 2855*f - v - 1 wrt f.\nAnswer: 294*f*v**2 + 1698*f - 2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 + 9 = 9*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4513244*v + 4513196*v - 192 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -52389524.\nAnswer: -5\/52389524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/10*194\/485*(-150)\/24\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-50)\/628488)\/(2\/(-1576)). Let a = w + 1\/1247. Which is bigger: 0.1 or a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-368)\/(-16))\/(-23)*(-3)\/(-81)\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -1495 + 9100. Let m be r\/33 - 4\/(-22). Suppose 3*f - m + 11 = -5*v, -2*f - 32 = -3*v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k. Let w be n(4). Suppose 7 - 55 = -w*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -313\/510 + 39\/34. Let q = 1\/5 - v. Which is smaller: -10 or q?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.129 - -7.128994423. What is m rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -92771.967 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3121, -5926, -8717, -11494?\nAnswer: -14257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/9 + (-357)\/(-63)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 164*u**3 - 40*u + 283*u**3 + 23*u + 17*u.\nAnswer: 119*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15956 + 4900.39.\nAnswer: 20856.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-2)*12\/(-15). Suppose -m - 3*m = 0. Suppose w*b - b = m. Solve -l + 5 = -b*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2157*h**3 + 4254*h**2 - 48*h. Let g(j) = 2*j**3 - 12*j. Let d(z) = -4*g(z) + m(z). Find the third derivative of d(n) wrt n.\nAnswer: -12990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*p + 727*p = 363*p - 3*t - 51, -2*p - 7*t - 29 = 0 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24340*y**4 + 52941 with respect to y.\nAnswer: -97360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528832?\nAnswer: 2, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**5 - h**5 + 2*h**5 + (50*h + 11*h - 25*h)*(-h + 5*h - 2*h)*(-2*h**3 + 4*h**3 + 2*h**3).\nAnswer: 285*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308589 is divided by 102857.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 29106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -280839*r**5 + 3*r**2 - 1343*r - 16.\nAnswer: -16850340*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21316, 42634, 63952, 85270, 106588?\n\"Answer: 21318*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 10*g**2 - 11*g + 12. Let y be i(9). Let u = 7 - y. Solve 0*m + 3*m = -d - 13, 4*m = 3*d - u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*d + 21, -d + 0*d - 12 = -3*a. Suppose 2*l = -l + a*n - 15, l + 3*n = 9. Suppose -3*f = 3*r - 165, f + 4*f - r - 257 = l. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xox when three letters picked without replacement from rxvgvyo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 10) in base 3?\nAnswer: -2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -13.8. Let p be 12\/80 - (-2)\/(-5). Sort p, h, -5.\nAnswer: -5, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**5\/13 - 32*n**4\/13 + 146*n**3\/13 - 68*n**2\/13 - 688*n\/13 + 640\/13 = 0.\nAnswer: -2, 1, 4, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (6 + 1) - (15 - 9)) + (10 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2562 minus 0.0058813642953?\nAnswer: 2561.9941186357047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87.53819 - 112.538. Let m = 53 - 78. Let y = m - x. What is y rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 0*y - 5*y)*(2 - 3 - 1)*(36 - 66 - 43).\nAnswer: -876*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -2115, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -80*u**3 - u**2 - 2*u - 1. Does 20 divide c(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1236*d + 44. Is 38 a factor of g(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -181*y**4\/2 - 10*y**3\/3 - 71*y**2\/2 + 2322. What is the third derivative of f(h) wrt h?\nAnswer: -2172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 305 + -306. Let w(r) = -347*r + 20. What is the hundreds digit of w(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 6. Find z, given that -4*z**y + 2*z**5 - 2*z**3 + z**2 + 4*z**4 + z**2 - 2*z**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 746 * 0.051.\nAnswer: 38.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3613, -2966, -2319, -1672, -1025?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 greater than 422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*r*v**2 + 9*b**2*v**2 + 45*b*r*v**2 - 8*b*v**2 wrt r.\nAnswer: -2*b**2*v**2 + 45*b*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is e84 (base 16) in base 9?\nAnswer: 5078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 + 0.99. Let z = 0.9 - m. Let d be (-2)\/1*(-5)\/(-2). Which is the nearest to z? (a) 0.1 (b) d (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 42 = 2*k, -3*k - 347693 + 347625 = -4*m for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1287280906*d + 124*d**2 - 1287280906*d.\nAnswer: 124*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 1844.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 96 = -3*m, 4*m + 9*d = 10*d - 6. Let u(o) be the second derivative of 37*o - 1\/12*o**3 + 0*o**2 + m - 1\/8*o**4. Factor u(k).\nAnswer: -k*(3*k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*i + 60*y - 59*y, 2*i = 5*i - 5*y + 68 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3015*c**3 + 7*c**2 + 34*c + 35. Is t(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212021012 - 20?\nAnswer: 212020222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12409 or 12408?\nAnswer: 12408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 + 114 - (3 - -21).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2041452, -2041448, -2041442, -2041434, -2041424, -2041412, -2041398?\n\"Answer: h**2 + h - 2041454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.6 - 0.6. Let i = -874167.999993 + 874166. Let k = i + n. What is k rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -619.5 - -619.2. What is the closest to -9 in -2\/43, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9 + 2*f + 14 + f**2 - 2*f**2. Let g be u(2). Suppose 5*v + 385 = 5*p, 3*v - 281 = -g*p + 88. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 - (-17 + 16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = b + 3*h, 4*b - 5*b + 5*h = -15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 12*a**2 - 13952*a + 83933. Determine p(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117540401?\nAnswer: 11, 223, 47917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8*-1 + (-432)\/(-36). What is the second derivative of -a - 106 - 2*a + 317 + 175*a**g + 2*a wrt a?\nAnswer: 2100*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/4 - 517*m\/4 + 173\/2.\nAnswer: -(m + 173)*(3*m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1423828?\nAnswer: 1\/1423828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 2:51 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6756 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccwccccccccwccccwwc. Give prob of picking 2 w.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -149.6 - -155. Let j = -1.7 + 0.3. Let p = j + z. Put -1\/2, p, 0 in decreasing order.\nAnswer: p, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -666, -671, -678, -687, -698, -711?\n\"Answer: -p**2 - 2*p - 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-5) - 954\/45. Let c(r) = -6*r + 2. Suppose 47*v - 2 = 45*v. Let f be c(v). Put 4, f, y in descending order.\nAnswer: 4, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 212893997*g**2*o**2*u**2 - 42302*g**2*o**2*u - 8*g**2*o*u - 184*g wrt u.\nAnswer: 425787994*g**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-802)\/10025)\/(156\/90)?\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eplpmiaaplmpeppp. What is prob of picking 1 m and 1 e?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 584\/7853 or 1?\nAnswer: 584\/7853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 5*m**2 - 8*m + 9. Let u be n(6). Suppose 2*q = 3*x + 20, 3*x - 2*q + 24 = q. Does u = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94 - -38. Let m = 153 + t. Is 26 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 30 - 21) + (-14 - 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3 + 62588*b**2 - 489719800*b + 979189264 = 0. Calculate b.\nAnswer: 2, 15646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 819.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2 + 1352246*j + 457142311129 = 0 for j.\nAnswer: -676123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4834844216173\/4780 + -1011473691. Let t = a + -10\/239. What is the common denominator of 33\/19 and t?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1\/8, 7750, -1, -4, 2.5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1828358 - 12?\nAnswer: -1828371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 64. Let p = r + -22. Suppose p*l - 60 = 25. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/5)*f)**(-21)*(f**(2\/5))**50*(f\/(f\/(f**(2\/7)*f)*f))\/f**(-2\/3)*(f*f**(1\/2))**(-27) assuming f is positive.\nAnswer: f**(-14689\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1571316 and 1833202?\nAnswer: 10999212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from lllllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -17*x + 495. Let w(j) = -47*j + 1484. Give -11*b(a) + 4*w(a).\nAnswer: -a + 491","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = 6*f + 6*f. Solve -4*m + f*z - z = -15, -3 = 3*z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 836 - 832. Suppose 2*g**2 - 9\/5*g**t + g**5 - 3\/5*g - 2\/5*g**3 - 1\/5 = 0. Calculate g.\nAnswer: -1, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-6))\/((-4)\/(-132)). Let y(c) = -8*c - 11. Let k(j) = 2*j + 3. Calculate u*k(i) - 6*y(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -859 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/9 of a hour in seconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**4\/4 - 429*r**3\/4 - 1917*r**2\/2 + 5145*r - 5586 = 0. What is r?\nAnswer: -133, -14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*v - 174 = -l, 0 = 2*l + v - 69. Suppose -3*k + 2*k + l = 0. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 2:20 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0787 and -0.047.\nAnswer: -0.1257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 10:00 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u**3 - 7*u**2 + 2*u + 15. Is s(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 186069603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 8 = -l, -2*p = -l + 12 - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39182209487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - -3a825?\nAnswer: 3a831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2242 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 18. Let w be r(15). Let m(n) = 49 + 56 - w*n**2 - 94 + 11*n. Let s(y) = -y**2 + 4*y + 4. Suppose 2*p = -3*p - 30. Calculate p*m(l) + 17*s(l).\nAnswer: l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/28 in -0.6, 1\/3, -16?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 5 = -11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnxnnxnxnxxx. Give prob of picking 2 x and 2 n.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28568.9999860471 - 28569. What is x rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -288, -563, -840, -1125, -1424, -1743, -2088?\n\"Answer: -c**3 + 5*c**2 - 283*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 42430?\nAnswer: 84860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**5 - 3*s**5 + 2*s**5)*(-6 + 3 + 4) - 500714*s**3 + 546*s**2 + 250357*s**3 + 250356*s**3 + 2*s**5.\nAnswer: 3*s**5 - s**3 + 546*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 199151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -91, -94, -97?\n\"Answer: -3*n - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102438, -204943, -307448?\nAnswer: -409953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7926 - 7976. Let g be (-2)\/(-2*1) - 2. Calculate the common denominator of (g - 97\/10)\/1 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 15*w + 2. Let v(j) = j - 1. Let r(k) = -b(k) - 2*v(k). Let c = -33 - -35. Let f(o) = 71 - 2*o**c + 73 - 144. What is f(r(t))?\nAnswer: -578*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 10 - 2 - (-2 - -15).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-34))\/(25\/425)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 63376.7 hours?\nAnswer: 228156120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 17 (b) 4\/9 (c) -7063204\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s + 24. Is 6 a factor of f(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 3*i - 38, -8*o = -3*o + 35 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 134 + 310141?\nAnswer: 310315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 j when four letters picked without replacement from jjjjjrjjjjjjrjjjjj?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**4 - 61038*g**2 - 7*g + g**3 + 61039*g**2 + 35*g**4 + 1 as f*g**3 + s*g + d*g**2 + v*g**4 + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15d (base 14) to base 9\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + -22 + -16 + 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((2 - (-3 - -1)) + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1071819605?\nAnswer: 5, 821, 261101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 take away 0.836957?\nAnswer: -54.836957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/11 (b) -2 (c) 7\/2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = x - 7, -3*x + 4 + 10 = -2*v. Solve a + x + 10 = -5*o, -2 = -3*o + 2*a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*6*4\/24.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d53 (base 14) in base 12?\nAnswer: 4839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 5*d - 4 + 3 = 0, -4*k - d - 5 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 59117.77m?\nAnswer: 59117770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/6)\/5*-2. Let n(t) be the first derivative of -t**3 - t**2\/2 - t + 9. Let f(r) = -7*r**2 - 3*r - 2. Let l(u) = -2*f(u) + 5*n(u). Calculate l(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 6174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 3, -4\/5, 2\/7, 8887, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270647653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 16 - 5 - 6 - 2*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 2*n = 12. Suppose 7*h - 3*v = 10*h - 303, n*v = -3. What are the prime factors of h?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29654 is divided by 1976?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/2)\/(5\/2*44\/(-495)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**5\/20 - 2*u**4\/3 - 2*u**3 + 11*u**2\/2 + 4849*u. Suppose 4 + 5 = v. Give n(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 6637280, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4431*n + 2 - 4429*n - 5*n**2 + 8859*n - 1. Suppose 3*s + 0*s - 2*p = 1, 4*p - 1 = 3*s. Give r(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 15*d + 11. Determine u(-10).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4741 in 0, -1\/4, 72, -5?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 192 = 80. Let d be i\/14 - 39\/91. Suppose -d*r - 20 = -7*r. Solve 5*n + 3 = 5*h + 43, -r*n + 12 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 2*s + 4*b + 14, 0 = -2*s + 4*b - 28. Let d(u) = -u + 1. Let p be d(16). Let z be -2 + p\/(-9)*-3. Does s = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 168 = 12*b. Differentiate -71 - 57865*k**2 + b*k - 2*k**3 + 57865*k**2 with respect to k.\nAnswer: -6*k**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 5831242 = 5831346 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + 137 - 7*q + 49 + 146 - 409.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -63, -152, -277, -438?\nAnswer: -635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1149954364 rounded to 3 decimal places?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-46)\/207 - (-128)\/9. Suppose t*d + 6035 = 19*d. Suppose 4*x = 16, -4*q + 2*x = q - d. Is q a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8*u)**0*u*u\/u**18*u**0*u assuming u is positive.\nAnswer: u**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 28*k - 143 = 0. Let z(t) = t**3 - 10*t**2 - 10*t + 3. What is z(k)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 163 = -2807. List the prime factors of (-96)\/(-168) + i\/14.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 344 - 117 = 3*z, 312 = 4*z - 2*r. Suppose 5*k = 3*j + 117, -3*k + 6*k = 4*j + z. What is the remainder when -1 + 3\/((-3)\/(-62)) is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 2666*c**2 + 1552*c**2 + c + 2*c.\nAnswer: -1114*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, 0.4, -6390\/73, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 459 * 0.3\nAnswer: 137.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 + 0*d**2 + 4*d**2 + (-5 - 2*d + 5)*(0*d + 6*d - 4*d) + 4*d**2 - 12*d**2 - 18*d**2.\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-10) + 269\/5. Suppose -230 = -y*x + 51*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1840822 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*z + z = -40, -60 = -4*s + 4*z. Let d = 19384 - 19094. Calculate the greatest common factor of s and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*i + 5, 0 = -11*i + 9*i - 6. Does 6 divide 63 + (13\/4 - x\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.4 (c) 0.75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**4 - 18*f**3 - 39*f**2 - 36*f - 12 = 0. Calculate f.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -43*k**4 - 8*k + 12*k**2 + 51*k**4 + 4*k**3 + 4*k**5 - 20*k**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3617 - 22.6283. Round o to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1328 + -1328.0000871. What is i rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49979 and 15740556?\nAnswer: 834249468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 5, -14, 0 in increasing order.\nAnswer: -14, 0, 5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*i**2 - 2*i + 104.\nAnswer: -6*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2520 and -31\/1504?\nAnswer: 473760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 7061955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*(w\/((w\/(w\/w**(-2\/9)))\/w))\/w*w*w)**(-3\/13)*w**(2\/9)\/((w**(-5\/2)*w)\/w*w) assuming w is positive.\nAnswer: w**(121\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44 - -12) + 11 + (-1 - 2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/21*64\/(-3). Let b = 18 + g. Is b less than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence th when two letters picked without replacement from {t: 2, h: 4, m: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -51, -5, -2\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92492 is divided by 7017.\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12814 in -2, -3, 5, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12\/13 - 62\/39. Which is smaller: -3\/88 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(-5*sqrt(18)\/sqrt(2)) - (1 + 1 + sqrt(13) - (sqrt(208))**2*4).\nAnswer: -6*sqrt(13)\/5 + 830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -7, -0.3, -2\/15, 219, 4.5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*x + 42*x - 96*x - 118*x = 58*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8*1\/2 - (-2571)\/(-21). Let q = -126 - t. What is the biggest value in 5\/3, q, 1\/2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/(-80))\/(6\/(-8)). Put 3, 0.4, w, -4 in ascending order.\nAnswer: -4, w, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**4 - 5470*b**3 - 372*b + 4018709 wrt b?\nAnswer: 4*b**3 - 16410*b**2 - 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 1. Let f be c(0). Let m = 13 - f. Suppose -m = -0*g - 4*g. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (23695\/(-55) + 6\/(-33))*(31 + -36) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*p)*(6 - 4 - 4) + (-4*p + 0 + 0)*(1 + 2 - 1) + 0*p + 0*p + 2*p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3366495 divided by 9?\nAnswer: 374055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*r**4 + 0*r + 12\/5*r**3 + 0*r**2 + 0.\nAnswer: -4*r**3*(r - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -10*d - 28. Let f be n(-3). Let h(r) = 7*r**2 - 374 + r**3 + 3*r**2 - f*r + 360. Give h(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 14) + -2 - -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(-20) + (-90)\/(-4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -440583145*s + 115533637 wrt s.\nAnswer: -440583145","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + -0.8. Let i(g) = -6*g + 4. Let q be i(-3). Let o = q + -27. Which is the biggest value? (a) m (b) -0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + 10.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -1, -37, -7 in increasing order.\nAnswer: -37, -19, -7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3156*w - 205136. Determine a(-65).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/3))**(-7\/8)\/(j*j*j*j*j**(10\/13)*j\/((j*(j*j*j\/(j**(-21)\/j)*j)\/j)\/j)) assuming j is positive.\nAnswer: j**(2909\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13494 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3 - i**2 - 23*i**3 + 3*i**2 + 2 + 61*i**3. Suppose -3*t + 0 = -3. Is o(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 7, a: 2, e: 2, r: 2, t: 1, l: 2}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-142)\/(-3))\/((-6)\/(-9)). Let a be -69 - ((5 + -7 - 4) + 5). Let c = b + a. Solve -c*o + 1 = 2*r - 9, -2*r + 10 = -4*o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 less than 61.30307?\nAnswer: 97.30307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 18. Let y be g(18). Solve -4*w = -y*w + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -12*a. Let w(r) = -40*r**2. Calculate x(w(q)).\nAnswer: 480*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1034485 and 355.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0948862nm in kilometers?\nAnswer: 0.0000000000000948862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*g - 27*g - 70 - 50 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3485674477.\nAnswer: 21587, 161471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(132))\/sqrt(12)*-1 + -2)*-1)**2.\nAnswer: -4*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98049569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (2 - 14) + 11 + (4 - -2) - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 t, and 1 a when three letters picked without replacement from {j: 1, u: 2, l: 1, t: 4, b: 2, a: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(3\/((-12)\/2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 20*w**2 + 47*w - 5. What are the prime factors of z(18)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*r = -8. Let y(z) = 5*z + 4. Let c(w) = -2*w - 2. Suppose 0 = 3*g + 2*b - 3 - 18, 2*g = -5*b + 3. Determine g*c(t) + r*y(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxvx when four letters picked without replacement from {x: 7, v: 3}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - 2*x**2 - 2 - 2 + 3)*(470 - 470 - 29*x**2) in the form a*x + q*x**4 + s + g*x**3 + w*x**2 and give q.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2 - 17500*b + 5231436 = 0 for b.\nAnswer: -17794, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyccyycyccyycyyyy. What is prob of sequence cyyy?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4*(sqrt(1872) - 4*-4*sqrt(1872)) - (0 + sqrt(1872) + (sqrt(1872) - -1*(sqrt(1872) + 2) - sqrt(1872)))))**2*4.\nAnswer: -6720*sqrt(13) + 36691204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((112\/175)\/(-4))\/(2\/10*2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 7:28 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 - 10*v**2 + 10*v - 9. Let t be r(-6). Calculate the greatest common divisor of t and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -86 + 2 - ((2 + -36 - -18) + 13).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azv when three letters picked without replacement from {m: 2, z: 1, v: 1, u: 1, a: 1, b: 2}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 5:51 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -403995*b**4 + 1633*b + 11 wrt b.\nAnswer: -4847940*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -11. Suppose 0 = 3*i + 3*q + 2*q - 9, 0 = 3*i - 2*q - 9. Let s = i - -4. Calculate the remainder when v is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*w. Let o = -3 - w. Suppose -n - 2 = -0. Which is bigger: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eylllhxlxxxlrx. Give prob of picking 1 e, 1 y, 1 x, and 1 l.\nAnswer: 25\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 + (-6 - -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 247343.8\nAnswer: -12367.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -636.8.\nAnswer: 1910.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7010*n**2 + 14043*n.\nAnswer: -14020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-3 + 13) - -23 - 30.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -193, -439, -783, -1225?\nAnswer: -1765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 - -207. Let u = w - 115. What is the fourth biggest value in u, 1\/2, 0.4, 5\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 5)*(-5 - 25 + 13)*(1 - 1 - 2*u).\nAnswer: -102*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*w + 1 + 11, 5*p + 20 = -5*w. Suppose -24 = -4*u - 4*v, 0*v = -3*u + 4*v + 46. Let r be u\/4 + (-2)\/(-4). Put p, 1, r in decreasing order.\nAnswer: r, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from {q: 2, r: 6, o: 9}.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -275 greater than -527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 1. Let k be p(2). Let m = -1 + k. Solve -a - 11 = 4*a + 4*i, -3*a + 11 = -m*i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-30)\/(-9) - (-9)\/(-3). Let h(c) = c - 6. Let l be h(j). Let m(i) = -3 + i + 4*i**3 - i**2 + 2 + 2*i**2. What is m(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66a (base 16) in base 2?\nAnswer: -11001101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -388 - -394. Solve i*c + 0*c + 30 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 14 = 5*h - 4, 2 = 5*m + 2*h. Solve 2*k = -3*l - 16, l = -0 - m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 24.14. Let r = -5.14 + v. Which is the third biggest value? (a) -2 (b) -0.04 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*y + 6756 = 6728, -2*w - 2*y + 16 = 0. Suppose -5*c - 7 = 4*h - 2*h, -h + 4 = 0. Put w, c, 13 in decreasing order.\nAnswer: 13, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -399511, -13, 0, -12\/17 in increasing order.\nAnswer: -399511, -13, -12\/17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 5*o + 3. Let s be z(-5). Suppose 0 = 8*w - s*w. Suppose -6*y + y + 110 = w. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -611*d**3*y + 30*d**3 + 12*d*y**4 + 24 wrt y?\nAnswer: -611*d**3 + 48*d*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*u + 3 = -90*u - 3*t, u = -2*t - 2. Solve u = -84*s + 70*s + 56 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 24 + (-152 - -123)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5*m - 79 = 0, -5*f + 1319*m = 1314*m - 65 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10770864473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -26\/9, 0.2, 2015?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -5. Are l and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**5 + 1908197*d**4 - 2*d**3 + 294535*d**2 - 17 wrt d?\nAnswer: -60*d**2 + 45796728*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 11*h - 3. Let s be i(-10). Suppose -8 = 3*q + s. Let z = 1881\/15266 + -5\/898. Put q, 2\/7, z in descending order.\nAnswer: 2\/7, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) -5\/23 (c) -2801 (d) 12 (e) 1\/3 (f) -5\/3 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 + 2*p - 4. Let a(n) = 4*n**2 + 3*n - 5. Determine 2*a(c) - 3*s(c).\nAnswer: -c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 720.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -14\/15, 1505, -7 in decreasing order.\nAnswer: 1505, -14\/15, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45367 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -33697, -269746, -910483, -2158252, -4215397, -7284262, -11567191?\n\"Answer: -33724*c**3 + 19*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 2\/7, 2\/11, -1\/22?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -703 + 244 + 229 + 230 - 62*w**2.\nAnswer: -62*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 4*f**2 + 6*f + 9. Let v be h(-6). Let n be (0 - v\/(-2))*10\/(-15). Suppose 38*q - n*q = 160. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyyyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**4\/12 + q**2\/2 + 4*q + 1. Let z(f) be the first derivative of t(f). Differentiate z(y) wrt y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/66 and -49\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i. Suppose 0 = w - 5*w + 12. Let y be 0 - (w - (-20)\/4). Let l = y + 12. Give g(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2957744371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 682*o + 496*o - 91 - 32316 - 47697 for o.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.79 - -304798780.5.\nAnswer: 304798765.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 139220201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfwjjxwfuhw. What is prob of picking 1 w and 1 u?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 5 - (-195 - -192).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 8*n - 151. Determine w(-13).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 4*r + 4. Let s be w(-6). Let z = s + -14. Suppose -3*t + z*u + 12 + 11 = 0, -2*u = -5*t + 45. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63837 * -14.81\nAnswer: 945425.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*g + 190*g + 87 + 118 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1000020211010 (base 3) to base 4\nAnswer: 2002331130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 - 7*f**2 + 3*f**2 - 21*f**3.\nAnswer: -21*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(2\/49)*y)*(y*y\/(y**(-1\/14)\/y))\/y)\/(y**(-4\/7))**(10\/7) assuming y is positive.\nAnswer: y**(279\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5 = -3*y, 35 = 3*y - y - 5*d. Solve -y*o + o = -4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/57)\/(442\/247).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/910)\/(72\/108)?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*q - 36925 + 37780 = 5*b, -2*b = 3*q - 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 3:30 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*i = -132*i + 693. Let s = 989 - i. List the prime factors of s.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -14*w**3 + 11*w**2 + 6*w. Let m be 3\/(-2 + -4)*22. Let t(v) = -5*v**3 + 4*v**2 + 2*v. Let j = -1447 - -1451. Determine j*k(h) + m*t(h).\nAnswer: -h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -939? (a) -2 (b) 1\/5 (c) -0.041\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -n + 5*v + 9, 4*v + 16 = -3*n. Let y = 779 - 780. Let m(w) = -3*w**2 + 4*w - 3. Let l be m(1). Which is the closest to l? (a) 1 (b) n (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, d: 2, o: 1, v: 1, p: 2, y: 1}. What is prob of picking 1 o and 1 y?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1630751874 to the nearest integer?\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 13602328.\nAnswer: 40806984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - 0. Let k = t + 11. Suppose -i - 3*m + 11 = 0, 0*i + 2*m - 34 = -k*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - 404016?\nAnswer: -404005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8+0.0415685418\nAnswer: -7.9584314582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + 0 - sqrt(2)) + (sqrt(2) + 2)**2 + -5.\nAnswer: 1 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*n = 37, -10*x - 24 = -13*x - 3*n. Let p be 50\/18 + 16\/72. Solve -q - x = 3*i + p*q, 0 = -i + q - 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7379221?\nAnswer: 41, 179981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*k - 793 = -18 + 25 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -5. Let z = -6.3 - -4.29. Let x = -0.01 - z. Put -5, x, s in ascending order.\nAnswer: -5, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19569 - -19564. Sort -13, 3, 0, -2, s in descending order.\nAnswer: 3, 0, -2, s, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-74)\/594 + (-814976)\/(-4224) + -193\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*j - 5*j - j + 21*j as m*j + a and give m.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4288965 divided by 5\nAnswer: 857793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12621, 50471, 113561, 201897, 315485, 454331, 618441, 807821?\n\"Answer: c**3 + 12614*c**2 + c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 30*k**2 + 74*k - 319. What is l(32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**4\/4 - 739*q**3\/3 - 322*q**2 - 28. What is the second derivative of a(t) wrt t?\nAnswer: 6*t - 1478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -23. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5, 0, -9, -22?\n\"Answer: -2*b**2 + b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16ca6 - 192?\nAnswer: -17168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5870*r - 169. Let x(w) = -17611*w + 535. Give 19*g(i) + 6*x(i).\nAnswer: 5864*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 577.57525 days in weeks?\nAnswer: 82.51075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 8 = -3*i. What is the biggest value in -0.1, -2, 3\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.493324l to millilitres.\nAnswer: 8493.324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/o**0))**32)**(-1\/22) assuming o is positive.\nAnswer: o**(-16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8392 - 6404. Which is bigger: 1987 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q - 24 = -164. Suppose v = -5*z + 4, 9*z - 5*v = q*z - 20. Let i = -2 + 3. Which is the third biggest value? (a) -2 (b) -1.6 (c) i (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2120144331 (base 5) to base 11\nAnswer: 2576407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10952716 = -89*n - 10959213 for n.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -103.1503\nAnswer: -309.4509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*q + 0*q = -3, -5*x + 9 = 2*q. Suppose 2*r - 3*i + 2 = -x, -2*r + 35 = 5*i. Let p be -1 + (25\/r)\/5. What is the biggest value in p, 4, 3\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313 = v - 3*v - 5*k, -5*k = -5*v + 765. Suppose -4*a + v = -106. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 1 + 16. Suppose -q - g*i - 24 = 0, 2*i + 2 = -3*q - 5. Let w(a) = a. Let u(z) = z**2 - 6*z + 4. Let t(k) = q*u(k) + 2*w(k). Factor t(v).\nAnswer: (v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 7*k = -20. Let t(c) = c + k*c - 3*c. Let d(f) be the first derivative of f**2 - 2. Determine d(t(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9031 - -8341.3. What is g rounded to the nearest 10?\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 275111278 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1917261522?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*i = v + 5, -3*i - v = -3. Let w be 2\/1 - (i - 3). Suppose 3*d = 2 + w. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 1:26 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 6*o = -27. Suppose -2*h + 2*w - 10 = 0, 3*h + 10 = 2*w - 0. Suppose h = -2*m + j + o, j = 2*m - j - 26. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t + 41. Give l(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((-63)\/(-378) + 26\/(-12)). Let m(x) be the second derivative of 0*x**2 + j - 1\/2*x**3 + 11*x. Let f(g) = -g. Determine m(f(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**5\/30 + u**4\/8 - u**3\/3 - u**2. Calculate the common denominator of n(2) and 101\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110110000 (base 2) to base 10.\nAnswer: -432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 1181*i**2 - 1556*i + 441987. Determine h(1182).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 414.4 + -414.54. Put -10, o, 0.2 in descending order.\nAnswer: 0.2, o, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3863 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 22.2. Which is the third smallest value? (a) 0 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 3357*x - 16860.\nAnswer: 3*(x - 1124)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10976820 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 - 0 - -1) + 240 + -228.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15*8\/(-120))\/(2\/(-14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1315\/1813 (b) -2 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 2*t - 2*t + (-3 - 3 + 5)*(t + 2*t - t) + 22094*t + 17869*t + 6651*t + 75893*t + 39694*t as r*t + k and give r.\nAnswer: 162197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3259, -6437, -9617, -12799?\nAnswer: -15983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10}. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*m - 710, -3*l + 1028 + 1078 = m. Let i = 1080 - l. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 not equal to 5558\/121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6540292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from ggzzhhhhhgzhghhh?\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**5 - 11675*d**4 - 34995*d**3 - 34985*d**2 - 11660*d.\nAnswer: -5*d*(d + 1)**3*(d + 2332)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, w: 6}. Give prob of sequence ffw.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29322919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2 + -73 + (139 + -125 - (2 + 15))).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5 = 2*l - 2, 3*y + 5*l = 22. Which is greater: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17996 and 3539486.\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95473 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 3*m + 133. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 45161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -h + 14. Let g = h - 8. Let a(j) = j - 8. What is a(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 4*n**2 - 2*n - 1. Let o be p(3). What is the second derivative of -2*t**5 + 3*t - 2*t + 2*t**o - 2*t**2 wrt t?\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1868 - -23?\nAnswer: -1845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 7*m**2 - 5*m - 4. Let a be b(6). Suppose a*x = x + 60. Find the common denominator of (-681)\/x - (-2)\/(-8) and 9\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 6. Let i(b) = b + 17. Let c be i(9). Suppose c + 10 = 6*m. What is the remainder when t is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -1858650?\nAnswer: -7434600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34a3 (base 16) in base 15?\nAnswer: 3ed5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 500 and 207750?\nAnswer: 415500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16 (b) 3 (c) -1\/9 (d) -7 (e) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**4\/2 - 205*s**3 - 2010*s**2 - 3475*s + 11375\/2 = 0 for s.\nAnswer: -5, 1, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -9. Let t(d) = 16*d**2 - d - 1. Let w be t(h). Let j = -6 + w. What is the least common multiple of 6 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3671 minus -135?\nAnswer: -3536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + -1 + sqrt(245) + -2 + sqrt(245)*-3 + sqrt(245) + (sqrt(245) - (sqrt(245) - (-3*sqrt(245) + sqrt(245))*5)))**2.\nAnswer: 4620*sqrt(5) + 178020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(1\/4))**(1\/12)\/(o*o**0*o)**(-10))**(1\/17) assuming o is positive.\nAnswer: o**(321\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 11:53 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2604c1 (base 16) in base 6?\nAnswer: -125223041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 + 0)*(-f + 2 - 2).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/3 + 144\/27. Suppose s + 4 = 4*t, -2*s + 5*t = 3*t - v. Suppose 2*j + 12 = -0*m + 4*m, s*j = 3*m - 14. Put -3, 5, 1, j in increasing order.\nAnswer: -3, j, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2204*h + 2204*h + 280072*h**2.\nAnswer: 280072*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(20)\/(sqrt(64) + sqrt(4)) - sqrt(5))**2 + -3 + -1).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from gfgfzggfffp.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(1\/4))**(-21))**(13\/2)*(c**(-4)\/c**(-2\/5))**(-19) assuming c is positive.\nAnswer: c**(-1359\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -25056?\nAnswer: 2505b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2. Let w(a) = -a**2 + 133*a. Give w(b(i)).\nAnswer: -i**4 - 133*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/21 (b) -0.2486 (c) -0.4 (d) 0.2 (e) -1\/7 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54362124 a multiple of 783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 505*v + 15677 = -501*v, 4*v = 5*o - 78385. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 15*y - 79. Let f be t(-4). Let u = -0.3 - -0.3. Let j = -0.4 - u. What is the nearest to 0.1 in 1, j, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -261310 + 3?\nAnswer: -261305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-six fifths of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/30426 and -54\/43838795.\nAnswer: 263032770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2683 in 20\/929, 3\/2, 2\/7, 5?\nAnswer: 20\/929","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 709376 and 20926592.\nAnswer: 41853184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 + -59.78. Let h = -0.22 + n. Sort -1, h, -2\/15 in decreasing order.\nAnswer: h, -2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - -22101012021?\nAnswer: 22101012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**13)**18 assuming m is positive.\nAnswer: m**234","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b + 16. Suppose -x - 3*r + b = 0, 0 = 4*x + r + 2*r - 23. Suppose -m - x*n = -2*n + 6, -m - n = 0. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 + 20 = -13*m + 2*x, 3*m + 4*m - 3*m + 6 = -3*x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/234031 and -2\/31437?\nAnswer: 2106279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 1. Let z(j) = 1. Let w(n) = 6*v(n) - 7*z(n). Let f(m) = -2*m - 8. Calculate -2*f(o) + 18*w(o).\nAnswer: 4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/4)\/(2\/28). Let x be (-4)\/a - 296\/(-56). Solve 3*j + 10 = x*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**7\/35 + x**6\/60 - x**5\/10 - x**4\/12 - x**2\/2 - 5*x. Let a(q) be the first derivative of o(q). Let a(n) = 0. Calculate n.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 7 - 2 = 0. Is -1 - -81 - (s + (-3)\/(-1)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -9. Suppose 5*v = -n - 27, -v - 3*n - 5 - 6 = 0. Sort v, 1, a in decreasing order.\nAnswer: 1, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4889685 millennia to years.\nAnswer: 488.9685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 1149009984*l + 165027992916460032.\nAnswer: 2*(l + 287252496)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/2 + (3 - (-14)\/(-2)). Suppose m - 7 = a, m - 2 = -l*m. What is the smallest value in a, -0.1, -1\/5, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -312, -623, -934, -1245, -1556, -1867?\nAnswer: -2178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 902045*m**3 - 1286520*m + 1?\nAnswer: 5412270*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 707 - 1572. Let h = y + 868. What is the closest to -5\/7 in 5, -1\/4, h, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -97 - 35a?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-10)*303*16\/6. Let x = 813 - u. Let h = 782 - x. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215107 to the power of 1\/2, to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r - 10. Give d(9).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence an when two letters picked without replacement from {a: 2, n: 2, b: 4, e: 3, p: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 10:00 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1748 is divided by 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*q = 41*q - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*s - 3. Let g be (72\/60)\/(s\/(-35)). Does 12 divide (1 + 11\/7)*g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*f - 185*f = 4*y + 32, -2*y - 3*f = 32 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 q, and 1 l when four letters picked without replacement from {c: 3, g: 5, q: 2, n: 1, l: 8}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -24 - 5*i**3 + 59*i**2 - 137*i**2 + 78*i**2 + 65*i**3. Let n(s) = -s**3 + 1. What is -h(f) - 24*n(f)?\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404850 is divided by 134691?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2) - 9\/18. What is the smallest value in 3\/8, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 5*i - 10, 0*i = 3*i + 12. Suppose -590*y + 574*y + 224 = 0. Calculate the lowest common multiple of t and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(99))**2 + 5.\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/40920 and -109\/47712.\nAnswer: 81348960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -1\/4, -2, 19?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 172 in -0.3, -3\/8, -3\/415?\nAnswer: -3\/415","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 22*m**2 - 246*m + 7. What is q(11)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 227*k**3 - 24*k**3 + 258*k**3 + 9*k.\nAnswer: 461*k**3 + 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12.0148, -2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r**3 + 18*r**3 - 5158*r**2 + 18*r**3 + 5158*r**2 - 51*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2\/16*10*(-24)\/(-75)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5756? (a) 2 (b) 3\/5 (c) 1\/3 (d) -3 (e) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18657211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-2)\/18*-4*(-624)\/2080.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1886, 1885, 1884?\n\"Answer: -z + 1887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288336647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen sixteenths of a century?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336764?\nAnswer: 2, 84191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 924 and 3696?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69395389, -69395390, -69395391, -69395392?\nAnswer: -69395393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -2746 + 448. Let b = -215 + x. What is the highest common factor of b and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -779*n + 4807 - 876 + 13207 = 0 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqdqtdd. What is prob of picking 2 d and 2 q?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 15, -2*n + 241 = 3*r - 0*n. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4031301214 + 2?\nAnswer: 4031301221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13418, 26845, 40266, 53681?\nAnswer: 67090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 3*y - 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -8, -f = 5*h + f - 21. Suppose -h*p = 125 - 515. Suppose -5*w + p - 18 = 0. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 1 + (-1 - 39\/12). Which is the nearest to h? (a) -0.3 (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*(-260)\/(-702))\/((-6)\/27).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3569 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 910 + -850. Calculate the remainder when 742 is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 80\/32*128\/10. Let l = -82 - -50. Let y = t + l. Which is the fourth biggest value? (a) 1 (b) y (c) -9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47.1 - -9.9. Let o = h - 53. Which is the second smallest value? (a) -2\/11 (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 1. Let j be q(-2). Suppose 4*s + 16 = a - j, 3*a + 7 = -4*s. Solve a*h + 2*z = 17, -6*z + 4*z = h - 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01777385 to five dps.\nAnswer: 0.01777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-4 + 8\/((-280)\/(-135))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7359, -29517, -66443, -118137?\n\"Answer: -7384*l**2 - 6*l + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 8:20 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -60 (b) -0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(((n\/(n\/(n**1*n)*n))\/n)\/n))\/n*n)**(-12)\/(n**(-1)\/(n*(n\/((n*n*n*n**(-2\/7))\/n*n*n))\/n)))**5 assuming n is positive.\nAnswer: n**(-900\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (867*(-31)\/(-18445))\/(3\/(-10)).\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 16*l - 13. Let j(n) = 25*n. Let v(x) = -18*x + 1. Let u(w) = -2*j(w) - 3*v(w). Give 4*m(a) - 18*u(a).\nAnswer: -8*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*r - 8 = f, -2*f = -4*r - 12. Solve 0 = f*u - 2*q - 8, 0 = 2*u + 2*q - 7*q - 23 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 times -0.627\nAnswer: -0.08778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1083401739 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 189*a + 206. Give o(-4).\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + d - 13 - 4, 0 = 2*v - 4*d + 8. Solve v = -g + 5*i, -5*i + 1 + 13 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4339\/5 + 868. Factor 0*w + 0 + 0*w**2 - d*w**5 - 2\/5*w**3 - 3\/5*w**4.\nAnswer: -w**3*(w + 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 2. Let u be g(4). Let a(z) = -6*z - 190. Let y be a(-32). Suppose 0 = -y*w + 5*w - u. Solve 2*o = -n - 8, 5*o - o - 5*n + w = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -29608.018 to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304327?\nAnswer: 31, 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15\/56 + 247\/504. What is the fourth smallest value in -3\/5, l, 1, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 3\/7 (b) 181 (c) -58 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 - (4 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 + 0 - 0 - (49 + -53)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 952 - 712. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7732 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 4*w**2 - 2*w + 2. Let s be g(-4). Suppose 115*a = 111*a + 28. Solve -3*m + 2*n + 0*n = a, 4*m = 2*n - s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/((-14)\/56)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 12514417*u + 12514412*u + 0.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5 + 13. Suppose -4*n + 66 = 3*a - 29, 50 = 2*n + b*a. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3021 + 3041 - (-4 - 109).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -5*k - 0*k - j, 3*j = 4*k + 11. Let f(s) = 5 + 0*s - 4*s**2 + 5*s - s**3 + 2*s + 0. Give f(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21139, -21140, -21141, -21142, -21143?\nAnswer: -21144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 2*p**2 + 3*p + 3. Let d be t(-2). Suppose 103 = 12*n + 859. Let c be (42\/n)\/((-2)\/(-15)). What is the closest to -2\/5 in d, 2\/9, c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -9. Suppose -2*x = -3*d - 15, 0*x - 3*x + 17 = d. Let a = t + x. Is 3 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*s + 229 = 0, -130 + 797 = -3*x - 5*s. Let v = 2466\/11 + x. Which is the nearest to -2\/9? (a) v (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 4*r - 5*q - 17, -2*r - q = -5. Let d = 9 - r. Let k(l) = -3*l - 6. Calculate the remainder when k(-5) is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 1\/11, -7, 0.1, 1, 1\/2, 1460?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.15193 millilitres to litres.\nAnswer: 0.09215193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 - 11*o. Let s be b(5). Let z be (-2)\/(((-8)\/740)\/(1\/s)). What is z rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -777 rounded to the nearest 10?\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1366724, -2\/21, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*i + 289*i = -5*k - 8, 0 = 2*k - i + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 77*y**2 + 12801*y + 1026. Determine g(-158).\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**2\/9 - 69800*g + 628198\/9 = 0.\nAnswer: 1, 314099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 5*a**2 + 2*a - 4. Suppose 0 = 2*d + 14. Let w = d + 10. Suppose -w*s = 13 - 4. Determine l(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -8. Find the second derivative of -i**3 - v*i - 5*i**2 + 2*i + 5*i**2 wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1598, 1587, 1562, 1517, 1446, 1343, 1202, 1017?\n\"Answer: -a**3 - a**2 - a + 1601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -628\/111 or -2.21?\nAnswer: -628\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(4*2*sqrt(10)).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -4)*-2*(-10)\/(-12)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 11\/2 (b) 13\/34 (c) -1\/2 (d) 16 (e) -22 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192663 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -22*d + 2*d**2 - 13*d + 3 + 66*d - 15*d. Give l(-11).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**(2\/5)\/(y*y*y*(y*y*y**0*y)\/y)**(-10\/13))**(-6) assuming y is positive.\nAnswer: y**(-1344\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1406923 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 228 and 1206993?\nAnswer: 91731468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -393637\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -15\/4, -2, -0.5, 1408?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0186166 to 3 decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 12. Let z be m(12). Suppose 3*q = 5*p + 1283, 5*q + 3*p = -z*p + 2127. What is the second derivative of 2*c**4 + 426 - q - 3*c wrt c?\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 31*a + 11. Give u(-4).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen tenths of a decade?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55976288 is divided by 1838.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 431371 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (176\/64 + 1\/4)\/(2\/28)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.9 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 50 in decreasing order.\nAnswer: 50, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460664071 to the power of 1\/2, to the nearest integer?\nAnswer: 38219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3611 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14593820.\nAnswer: 2, 5, 17, 42923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62.01 - 62. What is the nearest to 1\/4 in y, -4\/5, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 87, 83, 77, 69, 59?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*z + 71744 = 72041 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**(-1\/4)*n))\/n)**(-9) assuming n is positive.\nAnswer: n**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -5, 0.1, 2\/335, 3, -54, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2484 by -207.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 1:41 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**4\/3 + 884*s**3\/3 - 95890*s**2\/3 - 397832*s\/3 = 0.\nAnswer: -4, 0, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*f + 458, -14*f + 16*f - 16 = 0. Is s less than 1319\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48103875 minus 1544.2?\nAnswer: 48102330.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9764 > -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -605808?\nAnswer: -605805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.016 times -11.3?\nAnswer: 11.4808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 8*j**2 - j + 4. Suppose 15 + 1 = 2*d. Calculate k(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -k, 0 = -u - 2*k + 5*k + 89. Calculate the remainder when u is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58030.\nAnswer: 2, 5, 7, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4704737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 14*v**2 - 2*v + 1. Suppose 0 = 5*n - 66 + 26. Let p = -6 + n. Is g(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 + 0*t + 0*t + (-2 + 2 + t)*(24*t + 22*t - 32*t) as z + n*t + i*t**2 and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 720 + -305. What is h rounded to the nearest 10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45051 (base 7) to base 16\nAnswer: -2c5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 94 or 262808\/2803?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.463136 days?\nAnswer: 666.91584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -292138 to the nearest 1000.\nAnswer: -292000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 6:41 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - w**2 - w - 28. What are the prime factors of v(8)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -5 (c) 420 (d) -2 (e) 1\/3 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 2. Let l be (-66)\/(-42) - (-6)\/14. Suppose 0*f = -f + 8. Solve w = -l*u - f - 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11979 is divided by 3246.\nAnswer: 2241","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (30 - -2)) + (-26 - 3) + 22.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 11:18 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129320 and 105576?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 10.2. Let t be (-14)\/2 + 3 + -1. Let g = 26067\/2 - 13034. What is the closest to n in -0.1, g, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0388 from -791.8.\nAnswer: -791.8388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/13)*y)\/(((y**(-13\/5)*y*y)\/y)\/y))\/(y*y**(2\/23))**35)**33 assuming y is positive.\nAnswer: y**(-1691679\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-3 + -7 - -19).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-4*(1 + sqrt(605)) - (sqrt(605) - 2*sqrt(605)*-2)) + 0)**2.\nAnswer: 792*sqrt(5) + 49017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 1423?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1922782 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 15 = -2*b, 3*b + 36 = -4*n - 12. Let v(o) = -2*o - 23. What is the units digit of v(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 + 2*c**2 + 2*c + 1. What are the prime factors of l(-3)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-9)*44\/8*-1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from hhhhtththtthh?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 209515910 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/116? (a) -2 (b) -5 (c) -4 (d) -60 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4986 - -5097.26. Round j to zero decimal places.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4923 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, x: 17}. What is prob of picking 2 p and 2 x?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*p**5 - 6084*p**2*y**2 - 29*p*y**2 + 2*p + y - 2531 wrt p?\nAnswer: 1120*p**3 - 12168*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1148 + -13467?\nAnswer: -14626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1395733?\nAnswer: 97, 14389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 3*b - 32. What is the closest to 2\/3 in b, -0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q**2. Let j(h) be the first derivative of 3*h**2 + h + 3716. What is u(j(b))?\nAnswer: -180*b**2 - 60*b - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 31. Is 2 a factor of b(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21009, -5\/8, 4 in decreasing order.\nAnswer: 21009, 4, -5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (70*y + 42*y + 72*y)*(2*y + 2*y**2 - 5 + 5) to the form n + k*y**2 + f*y**3 + g*y and give k.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 divided by 11?\nAnswer: 514\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 7:55 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.5 in 30, 2\/25, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/9 - 2\/3. Let i be b*1*(-16)\/3. Solve n = 5*n + i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 91*x**5\/3 - 779*x**4\/3 + 2114*x**3\/3 - 1684*x**2\/3 - 104*x = 0.\nAnswer: -2\/13, 0, 2, 3, 26\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -7, -45, -94, -1.\nAnswer: -94, -45, -34, -7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 18*p**2 + 4. Is f(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a millisecond in microseconds?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/sqrt(5)*-3 - sqrt(175)*1.\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwwxwwwwwwx. Give prob of picking 2 x.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3043 and 2506?\nAnswer: 42602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m**3 - 10*m**2 - 3. Let n(v) = -15*v**3 + 20*v**2 + 5. Let b(d) = 3*n(d) + 5*u(d). What is the third derivative of b(f) wrt f?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 907*d**3 + 6*d**4 - 907*d**3 + 22*d - 150*d**2 + 1 - 22*d in the form w*d**2 + f + v*d**4 + i*d**3 + s*d and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276789 is divided by 2774.\nAnswer: 2163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 4, -19, 17 in descending order.\nAnswer: 17, 4, 3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206b (base 13) to base 15.\nAnswer: 14dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + (1 + -3)\/(-2). Let s = h - 8. Solve 5*k - 2*c = c - 16, s = 2*k - 2*c + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13130 and 520.\nAnswer: 52520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2379207 * 5.\nAnswer: -11896035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1475 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -86548 (base 10) to base 11\nAnswer: -5a030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 579*p**2 - 293*p**2 - 290*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9837304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = -3*n - 4*i, -i = n + 3*n + 207. Let u = n + 58. Let m(v) = 15*v + 3. Let b(q) = 5*q + 1. Calculate u*m(o) - 17*b(o).\nAnswer: 5*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 2*p**2 - 3*p - 2. Let z(c) = c**3 - 2*c**2 + 2*c + 1. Calculate -2*y(d) - 3*z(d).\nAnswer: -d**3 + 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -317 - -317. What is the nearest to 6 in 1\/12, 3\/4, r?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110548873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p - 34*p + 955 = 0. Calculate the remainder when p is divided by 66.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**2 + 4*z - 8. Let h(a) = -7*a**2 + 9*a - 17. Determine -2*h(s) + 5*p(s).\nAnswer: -s**2 + 2*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a, -22*t - 5*a = -27*t - 10. What is the nearest to -3 in -0.2, -0.12, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -24) + -5 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50516 + 50516 + 54273313*p**2 - 54273309*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 75523.48*7\nAnswer: 528664.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1\/7, -40, -5\/4, 0.1, -4, -10, 427\/2?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l + 5 - 3*l + 3*l**2 - 5*l**2 + 3*l. Let z be q(2). Let d be (-8)\/z - (-5 - -6). What is the second biggest value in 4, -2\/17, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 33234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, c: 11}. Give prob of sequence ct.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q - 2. Suppose 23*z = 32*z - 36. Let d be m(z). Solve -6*r = -8*r + d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13\/((-65)\/(-10))*(-6)\/(-16). What is g in f*g + 3\/8 + 3\/8*g**2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 19*g - 32 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6 + 0 = -2*u, 3*u + 5*c - 15 = 0. Let w = -188 + 943\/5. Put w, 3, u in descending order.\nAnswer: 3, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -16. Let t(f) = f**2 - 1. Let c be t(z). What are the prime factors of (-6)\/c + (-53)\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z = 19*z - z - 794223. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -334463, -668975, -1003485, -1337993, -1672499, -2007003, -2341505?\nAnswer: -2676005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81484 and 36.\nAnswer: 733356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17791 - -106747\/6. Factor 0 + m*h**2 + 1\/6*h.\nAnswer: h*(h + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29280 is divided by 279?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 199 - 316. Let u = 116 + x. Let y = 9 - 6. Which is smaller: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 10675248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 97794 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.865 - -12. What is f rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/15, -1\/2, 9, -29, 4 in decreasing order.\nAnswer: 9, 4, -2\/15, -1\/2, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from {h: 2, f: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + 0*u + 2*u + (1 + 3 + 3)*(0*u - 2*u - 2*u))*(1 - 1 + 1)*(3*u - 4*u + 0*u) to the form r + f*u**2 + w*u and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1284 - 22*g - 1316 + 25*g)*(2*g + 0 + 0).\nAnswer: 6*g**2 - 64*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 74*q**3 - 152*q**3 + 1 + q + 77*q**3. Give c(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*c + 8. Suppose -z = -2*z + c. Solve -3*q = -q - z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3548 - -63681.\nAnswer: 60133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2436 by 42.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 194570 or 194572?\nAnswer: 194572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*o + 120*o + 37*o**3 + 15*o**3 - 181*o.\nAnswer: 52*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-3))\/((-4)\/(-78)). Let a = 52 + -75. Let g = a + 62. Calculate the highest common divisor of h and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = d, 4*j - 4*d = 40. Let b(l) = l**3 - 10*l**2 + l - 9. Let o be b(j). Let n(m) = m**2 + 3*m - 1. Let q be n(-4). Solve o = c - q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -9. What is the smallest common multiple of 9\/m*-3*(0 - -3) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**7\/14 + 3*j**6\/5 + 9*j**5\/20 - 5*j**4\/2 + 247*j. Factor b(x).\nAnswer: 3*x**2*(x - 1)*(x + 2)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6446570.\nAnswer: 2, 5, 13, 17, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idiinidit. Give prob of picking 1 n and 2 d.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = -5*v - 2*j + 92, 5*v + 3*j = 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 631619453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.02, -90452, 3?\nAnswer: -90452","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -2, 39 in increasing order.\nAnswer: -5, -2, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + 3 + -3 - (sqrt(1573)*-2 + 3).\nAnswer: -3 + 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(980) + -2*sqrt(980) + sqrt(980))\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 983 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 267769 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51247 + -1.6811.\nAnswer: -51248.6811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.39 times 1288\nAnswer: 1790.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553081 is divided by 15363?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.7217953 milligrams?\nAnswer: 721.7953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4050 and 27.\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131*x + 111*x + 97*x)*((2*x + 2*x - 5*x)*(6*x + x - 5*x) + x**2 - 3*x**2 + 3*x**2).\nAnswer: -339*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a millennium in decades?\nAnswer: 1520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, d: 6, x: 4, k: 4, c: 1}. What is prob of picking 1 c, 2 x, and 1 d?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 33045008?\nAnswer: 33045007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 + 29*s - 12. Let f = -132 + 117. Let z be p(f). Suppose 2*q + t = 8, 0 = 4*q - 2*t + 3*t - 12. Solve -5*a = 3*l + 9, q*l + a = -z*a - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25, -72, -137, -214, -297, -380, -457?\n\"Answer: p**3 - 15*p**2 - 9*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 582160 and 5.04?\nAnswer: 582154.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 - (-294)\/21?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t + 70 = -15*t. Let f = -1054 + t. What is f rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-189))\/(6\/(-28))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.9 - -9.9. What is the second smallest value in i, -3\/4, -8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6320 divided by 79.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 1. Let w be 6\/((-34)\/28 - (-12)\/(-42)). Let q(u) = -3*u**2 + 8*u - 6. Let x(v) = w*o(v) + q(v). What is x(3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2133423042 (base 5) to base 15.\nAnswer: -60aa17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*z, 2*f + 435 = 7*f - 2*z. Calculate the highest common divisor of f and 5829.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 + 1 + (-27 - -49 - -120) + -34?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 656 + 321. Suppose -7*j - y = -5*j - o, -3*j - 2*y = -1468. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4 = 2*h, -2*l - 47 = 4*h + 3*l. Let x(m) = -7*m. Let v(i) = 9*i + 1. Let f(j) = -6*v(j) - 7*x(j). Determine f(h).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, 0.2, 1 in decreasing order.\nAnswer: 5\/4, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9094240 divided by -284195\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 23*x**3 - 7*x + 9*x + 2*x**4 + 23*x**3 to the form s*x**3 + b*x + k + y*x**2 + g*x**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15124 (base 8) to base 7.\nAnswer: 25436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 750514.9cm in micrometers?\nAnswer: 7505149000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/30 - ((-21)\/36 - (-50)\/40).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n**2 - 3. Let w(l) = -11*l**2 + l - 7. Let a(m) = 7*s(m) - 4*w(m). Let b be a(2). Let u(y) = -3 + 0 + 8*y - 7 - 2*y**2 + b. Determine u(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 8.25 (b) 5\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/2 (b) -1\/3 (c) -201\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 9. Let o be 0*((-2)\/4 - 0). Suppose o*u + 12 = 4*u. Suppose u*v - 12 = 0, -2*m - 3*m + 3*v = 12. Determine i(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**8*r)\/(r*r**5*r*r))\/(r*r**(-2)\/r)**(14\/9) assuming r is positive.\nAnswer: r**(37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1829, -1838, -1861, -1904, -1973, -2074, -2213?\n\"Answer: -s**3 - s**2 + s - 1828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 5. What is the highest common divisor of c and 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 5*j + 29 = 0, j + 2 = 4*x + 15 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*t, 2*t + 9 = -5*a + 3. Suppose a = 4*z - 9*z + 35. Calculate the remainder when 40 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2347 - 2346.9061. What is t rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y**4 - 7*y**3 + 250*y - 322. Let n(c) = -3*c**4 - 5*c**3 + 167*c - 215. Let t(a) = -7*n(a) + 5*x(a). Differentiate t(u) wrt u.\nAnswer: 4*u**3 + 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254.8469 kilograms to grams.\nAnswer: 254846.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60386.04 centuries to months.\nAnswer: 72463248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/751 + -2510\/185497. Do r and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67662.6 litres?\nAnswer: 67662600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*l**2 - 4*l**4 + 2*l - 8*l + 4*l + (0*l**2 - l**3 + 0*l**2)*(-8*l - 5*l - 60*l).\nAnswer: 69*l**4 - 9*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 398 + -356. Calculate the remainder when 203 is divided by h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g - 1. Let p be i(-5). Let q(w) = -3 - p*w + 5 - 2. Let j(h) = -h. Give j(q(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472317?\nAnswer: 3, 313, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnttnnn. Give prob of picking 2 n.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/2 of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/3*7*-1. Let w(m) = 19*m**2 - d*m**2 - 25*m**2. Let t(h) = -3*h**2. Determine w(t(j)).\nAnswer: -243*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) -1\/10 (c) -15 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chpypxhsscssxsppxsp. What is prob of sequence ccsp?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6123.517 + 6126. Let c = -0.517 - n. What is the third smallest value in -2\/7, -3\/5, c, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -998 (base 11) in base 13?\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**2\/9 - 53020*k\/9 + 53032\/3 = 0.\nAnswer: -13258, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 4*m**2 - 2*m - 4. Let u be (-22)\/(-4) + 3\/6. Let i be b(u). Is (22\/8)\/(2\/i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b + 11*b**5 - 4*b**5 + 8*b wrt b.\nAnswer: 140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1001010113 + 100033?\nAnswer: 1001110212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 10*r + 198. Calculate b(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1382751 divided by -1\nAnswer: 1382751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 30503333 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 6:43 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21120 - 11222000?\nAnswer: -11303120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(2*1\/(-20))\/(6*(-4)\/(-30))?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4d1 (base 16) to base 2.\nAnswer: -10011010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*((-1)\/(-3) + 1). Let a(j) = -j**3 + 12*j**2 - j + 18. Let u be a(h). What is the third derivative of 0*x**3 - 12*x**3 + 240*x**2 - u*x**2 wrt x?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g*u**2 + 4671*g - 9*u**2 + u - 2 wrt g.\nAnswer: u**2 + 4671","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (86 - 56) + (-16 - 29)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*(v**(2\/5)\/v)\/v)\/v)\/v**(-2))\/(v\/v**(-2))**(-9))**(-1\/55) assuming v is positive.\nAnswer: v**(-137\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, 6, 2\/13?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6405043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 2*p**2 + p - 1. Let d be ((-36)\/(-4))\/3 - -2. Suppose -d*a + a + 4 = 0. Calculate o(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*f + h - 13 = 0, 29 = -3*f + 5*h. List the prime factors of 46\/8 + f\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + (sqrt(343) - (sqrt(343)*3 + sqrt(343) + 2 + sqrt(343)))**2*-1*5 + -4.\nAnswer: -27464 - 560*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 153 + -162.1. Let f = -1524.9 - -1525. Let j = f + d. Which is the closest to j? (a) -2\/5 (b) -5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 - -27. Let h be (-55)\/(-2)*(-224)\/v. Suppose -i + h = 3*i. What is the greatest common factor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-8)*(-2 - -4). Let k(g) = g - 1. Let m be k(-4). Suppose 0 = n - 0*n. Sort n, m, c.\nAnswer: m, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + 7. Let d = 44 - h. Calculate the remainder when 78 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 8:19 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 56 - 32 = 0. Let d(j) = 27*j - 1. Let h(z) = -1. Let u(v) = d(v) - 3*h(v). Let r be u(4). What is the greatest common divisor of t and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4947823?\nAnswer: 587, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/3)*q*q**(-8)*q*(q**(-2\/9))**(-2\/89) assuming q is positive.\nAnswer: q**(-4535\/801)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 4:08 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a + 1486a4?\nAnswer: 148666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08 + 3.08. Let v = -201.9 + 16.9. Let l = v + 185.05. Put 4, l, p in descending order.\nAnswer: 4, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -5. Let x be 5\/(-1)*-1 + s. Suppose 4*p - x*p = 4. Sort 4, 1, p in decreasing order.\nAnswer: 4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - d - 652267, -5*u - 7*d + 815336 = -6*d. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**4 - 3*y**4 + 0*y**4 - 2*y + y**4 + 2*y + (3*y + y - y)*(4*y**3 - 1 + 1).\nAnswer: 11*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*b + 7869 = 42*b. Suppose 34 - 4 = 2*o. Calculate the remainder when b is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 6:37 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316*j**2 - 1 - 301*j**2 + 1.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 4:41 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 16639.10899 to the nearest ten.\nAnswer: 16640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 13617005505294 and 52.\nAnswer: 13617005505346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*d - 143*d + 8263 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 (base 11) in base 9?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 - 91 = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 5. Let t be y(5). Suppose 4*i - 3*w - 36 = t, -5*i - w + 14 = 3*w. Round i to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - 0.5. Let n = h + 5. Let a = 7 + -2. What is the third smallest value in a, 0.3, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 960709, 3842740, 8646123, 15370858, 24016945, 34584384?\nAnswer: 47073175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - -3. Suppose -9*q - 4*v + 187 = 0, 3*q = 8*q - 3*v - 130. What is the remainder when q is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -464 divided by -116.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, o: 1, j: 5, s: 1, p: 2, y: 2}. Give prob of picking 1 s, 1 p, and 1 j.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.04 - -5. Let o = 0.44 + k. Let m = 5 + -6. Which is the closest to m? (a) 0.5 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**9\/10584 - x**7\/2940 + 2*x**3\/3 + 3. Let a(i) be the third derivative of o(i). Factor a(k).\nAnswer: 2*k**3*(k - 1)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37769 is divided by 9316.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, y: 3, q: 3, k: 1, w: 1}. Give prob of sequence qkqy.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837 a factor of 1681172801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5510013 or 5510004?\nAnswer: 5510004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14.5001514 + -14.5. What is a rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2034224 (base 7) to base 4.\nAnswer: -323210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1324 - 237. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1658 + 1657.5. What is the closest to 2 in -5\/3, l, -8, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/1*(-2)\/(-1). Let k = -2.8 - -3. Let m = -0.4 + k. Which is the nearest to m? (a) t (b) 2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - -3)\/((-12)\/16). Suppose -z*t = -1 - 35. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 15. Let y(d) = -d**2 - 15*d + 154. Let h be y(7). Give s(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*-1*(-3 + (-6)\/(-4)). Which is the smallest value? (a) -10 (b) 9 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + 4*o**4 + 2*o + (12*o**4 - 19*o**4 - 16*o**4 + 1)*(-3 - 2 + 4).\nAnswer: 27*o**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.72, -5, 5946, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 4*b = 36, 2*z + 7 = 3*z - 3*b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2 = -6. Let y = q + 11. Let s = -24 - -82. Calculate the remainder when s is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 11*x - 6. Suppose -4*d + d - 24 = 0. Let p be z(d). Solve -3*v - 4 + 12 = -n, -3*n - p = -3*v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57412.\nAnswer: 2, 31, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + 1*sqrt(114) - sqrt(114))*-4*2)\/(-5*sqrt(6)*2*2).\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 1\/3 (b) -0.13 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63224\/237090 + (-1852)\/(-75)*(-25)\/(-10)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/20 and -55\/14485292.\nAnswer: 72426460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 23.8241.\nAnswer: 9.52964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1326902, -2653826, -3980750, -5307674, -6634598?\nAnswer: -7961522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*a**2 - 16*a**2 - 16*a**2)*(-4*a**3 + 6*a**3 + 0 - 5*a**2 + 1).\nAnswer: -40*a**5 + 100*a**4 - 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 + 3*p + 5. Let j(t) = 3*t**2 + 14*t + 6. Let y be (2\/3)\/((-6)\/36). Let v be j(y). What is the remainder when 30 is divided by w(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 90079, 180126, 270231, 360424, 450735, 541194?\n\"Answer: 5*y**3 - y**2 + 90015*y + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -447 != 37204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3)*-16)\/(7\/(336\/32)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 11937 = -3*g, -4*g = 79*i - 83*i - 15916. List the prime factors of g.\nAnswer: 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-223)\/(-2 - (-392)\/200). Let c = -1374 + p. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -258, -493, -730, -969?\n\"Answer: -v**2 - 232*v - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.75, -3\/4, -1\/4, -10, 5.\nAnswer: -10, -3\/4, -1\/4, 1.75, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 1, h: 11, w: 1, z: 4, t: 1}. What is prob of sequence hb?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6737473 is divided by 192497.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2 + 8 = d, -d - 5*m = -12. Does 14 divide d\/(-5) + (-564)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1303.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-3))\/(13\/39). Suppose 1 = p*a - 3*q - 34, 3*a - 69 = -q. Solve -27 + a = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 18. Suppose m + 0*n = -5*n + 20, r*n = 4*m + 12. Solve 5*h + 5*y + 5 = m, -4*h + 3*y + 8 = y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(78) + sqrt(78)*-3*3 - sqrt(78)) + sqrt(78) + sqrt(78))\/(sqrt(30)\/sqrt(5)*-6))**2.\nAnswer: 817\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a decade in months?\nAnswer: 3420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxex when four letters picked without replacement from {e: 5, x: 9}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7*c + 5*c + 12*c + 27 - 102 - 32. Let v be w(5). Solve -v*n + 11*n = -2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89141 is divided by 44506?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 2*k - 20, -40 = -3*k - 3*k + 4*k - 6*j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*p + 327*p - 232 - 481 = 1051 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0\/l*l\/(l**5*l))**(-14\/5) assuming l is positive.\nAnswer: l**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 1210?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, r: 1, n: 1, g: 2}. What is prob of picking 1 g and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*y - 14 = 0, -2*y + 0*y - 4 = 4*v. Let k be 4\/(-10)*25\/(-85). Is v smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**2\/9 + 9188*o\/9 - 246784 = 0?\nAnswer: 256, 4338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1858*w - 16713. Determine q(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 285?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220233*h**2 + 440511*h**2 - 220035*h**2.\nAnswer: 243*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -664621 or -44529665\/67?\nAnswer: -44529665\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -4. Suppose x*s = -4*h + 12, -7*h - 2*s = -2*h - 15. Let f(k) = 2*k + 0 + h + 4. What is f(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 - (5 + -10 - 6) - -11?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*q + 96717 + 173498 = 0. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70222 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, -0.4, -55?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -4 (b) -0.5 (c) 44 (d) 59\/26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3092672 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*v + 63*v - 225*v to the form y + w*v and give w.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 578292841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2057468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 226*q - 42*q + 2 - 314*q.\nAnswer: -586*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2948605 + -13.5.\nAnswer: 2948591.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1984, -3957, -5956, -7993, -10080, -12229, -14452?\n\"Answer: -2*t**3 - t**2 - 1956*t - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -21, -10, 3, 18, 35, 54?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 5*a + 45. Let u be z(9). Let o = u + 337. What are the prime factors of o?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 152, -36, 4 in decreasing order.\nAnswer: 152, 4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/(100\/(-32) + 5)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) -2314.42 (c) -2.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292*v = 299*v - 598*v + 35. Solve 2*f = -n - 3 + 7, -v*f + 3*n = 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*d**3 - 43*d**3 + 17*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332.973cm to kilometers.\nAnswer: 0.00332973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -49. Let r(d) = -1166*d + g + 1164*d + 27 + 7. What is the remainder when r(16) is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1414579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2 - 2922\/(-1188)) + (-20)\/5 and -23\/297?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15945, -15939, -15921, -15885, -15825?\n\"Answer: q**3 - q - 15945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, w: 2, u: 2}. What is prob of sequence uttw?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 6:56 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 + 7*z + 7. Let i(a) be the third derivative of a**5\/60 - a**4\/8 - a**3\/2 - 7*a**2. Calculate 7*i(d) + 3*q(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 10:21 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-7))\/(136\/4998) - (-1)\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*d - 595 = 5*d, 2*d = 4. Calculate the remainder when 616 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = l - 4*v, 5*l + 5*v - 24 = 36. Let n = 15 - -3. Calculate the remainder when n is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a + 16*a + 0*a + 3*a.\nAnswer: 29*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01417 - 0.31417. What is the smallest value in v, -3, 5\/53?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 197, 854, 2189, 4430, 7805, 12542, 18869?\nAnswer: 27014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2020 + -2025. Which is the third smallest value? (a) 40 (b) r (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r - 23*r = -2*k - 6, -2*k - 1 = r. Which is the closest to -0.4? (a) -0.1 (b) k (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 65, 137, 243, 389, 581?\n\"Answer: c**3 + 11*c**2 + 32*c + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and 10561.56.\nAnswer: 9505.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 + 244*q - 1247. What is n(5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/156*2106\/(-54).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 7*w**2 + 12*w + 26. Let n be s(-4). Suppose 0 = 2*i - 4*h - 124, 4*i - 281 + 8 = 3*h. Let l = i - n. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*i**5 + 3*i**4*j*n + i**3*n + 5*i**3 + 11*i**2*j*n + 3*i**2 + 4*i*j*n wrt i?\nAnswer: 360*i**2 + 72*i*j*n + 6*n + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + y**2 + 6 + 73*y - 81*y.\nAnswer: y**2 - 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + y = 12159, u + 3*y = 2634 - 205. Is u a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2753 + 591?\nAnswer: -2162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 25. Which is the nearest to 0? (a) 1 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**6\/2 - 5*p**3\/3 - 4. What is the third derivative of z(f) wrt f?\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4944, -5507, -6590, -8451, -11348?\nAnswer: -15539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 + 243?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/4)\/((-26)\/(-1820)). Suppose -40 = -b*v + 103*v. Calculate the greatest common factor of 25 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 + 11*q - 2*q**3 - 83*q**2 + 7*q - 19*q to the form f + o*q + l*q**3 + v*q**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 1. Let y be d(-3). Suppose -4*b = -2*r - 10, -y*r - 5 = -5*r. Solve 0 = -2*s - j - 12, b*j = -2*s - 3*s - 35 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/((1265\/(-230))\/(2\/(-5)))\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 3*t = -30. Let j be (16\/20)\/((-4)\/t). Suppose 0 = h + j - 23. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*g**3 + 67*g**3 - 177*g**3 + 51*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31640.32 and 0.1.\nAnswer: 3164.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1824 and 768.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 3\/2, 5775, 5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 7:54 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -8. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/(-308))\/((-6)\/(-8)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 6 + 15. Solve -j + 3 = -2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 15 = -30*c + 2*w, -11*c - w - 11 = -15*c + 7*c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 120 + (-2 + -1 + 0 - -1) + (-1929 - -1916)\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 4*h + 5 = -3*u, -u - 3*h + 9 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1121719\nAnswer: -2\/1121719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**2 - 7226*w\/5 + 20272\/5 = 0.\nAnswer: -1448, 14\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893 is divided by 72.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmpm when four letters picked without replacement from ppppmpmppmpppp?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/57 + -17\/57. Let t = -1 + 4. What is the nearest to l in -3\/8, 0.3, t?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**2. Let o(h) be the first derivative of 185*h**3\/3 - h**2\/2 - 4047. Determine o(l(a)).\nAnswer: 2960*a**4 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -107 - -5818?\nAnswer: 5711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 = 16*f - 322. Calculate the greatest common divisor of 48 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39988301?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15.968652 microseconds?\nAnswer: 0.0000002661442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 492 a factor of 12575517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.018 + -3.482. Let y = p - -3.8. Let x = -45 + 25. What is the smallest value in x, y, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911 is divided by 130.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millisecond in microseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -5. Let z be ((-4)\/47)\/2*(2 + -3). Let u = -84\/235 - z. Which is the nearest to -1\/3? (a) u (b) y (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**3 + 2*s**3 + 5*s**3 + (2*s - 2*s - s)*(s**2 - 2*s**2 - s**2) - s**2 + s**2 + 2*s**3 + 0*s**3 + s**3 + s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52 + 2*l**2 + 69 + 157*l - 157*l to u + g*l + v*l**2 and give u.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + -12?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u - 2*u + 4*u**3 + 7*u**3 - 5*u**3 - 5*u**2. Let p(b) = 4*b**3 - 3*b**2 + 3*b. What is -5*i(n) + 8*p(n)?\nAnswer: 2*n**3 + n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 1:37 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 9:55 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(6)*-4*-1)**2 + -2.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 2*d**2 + 4*d - 3. Let g be u(3). Suppose -55*q + 189 = -46*q. Suppose 25*h - q*h - 48 = g. What is the remainder when 22 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*i**2*t + 18*i**2 + 264*i + 322976*t wrt i?\nAnswer: -6*i*t + 36*i + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 10*f - 3. Let z(s) be the second derivative of 7*s**4\/12 + s**3\/6 - 2*s. Let c be z(1). Is l(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -13782*(-8)\/60 + 120\/300. Which is greater: 1839 or l?\nAnswer: 1839","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -494*p - 129698. What is u(-263)?\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 968 a factor of 3047264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 2107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 7:47 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400*q - 405*q + 3443 + 3442 + 3441 + 802*q - 10326.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/2, -4\/7, -9, -0.4, -1 in ascending order.\nAnswer: -9, -1, -4\/7, -0.4, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrou when four letters picked without replacement from ujoejmr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -77.713 and -37?\nAnswer: 40.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 99\/(-6)*4\/(-18)*3. Let g = -14 + d. Which is greater: g or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 13*h - 9 - 10 as i + p*h and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 12*w**4 - 4*w**3 + 16*w**2 - 4*w. Let k(x) = 10*x**4 - 6*x**3 + 15*x**2 - 4*x. Let f(v) = 4*k(v) - 3*l(v). Solve f(h) = 0 for h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 470\/7 (b) 0.3 (c) -1\/4 (d) -2 (e) 0.042\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 91*m + 62. Calculate h(-3).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -3*y + 77, -2*z - 11*y = -19*y + 9*y + 6*y + 87 for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*x + 12. Solve 2*i + x = 0, -5*i = -4*u - 0*i + 26 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0612 - 4.9888. Let k = u - -5.0500483. What is k rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 14, p: 1}. Give prob of sequence hp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpjjjjjfjjjjj. Give prob of sequence jj.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 589, 538, 457, 346, 205, 34?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/2, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 6:47 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or 4\/285?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 0.0345.\nAnswer: 0.4345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 10*q - 2. What are the prime factors of t(6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153578471 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1\/4, 83\/5, -0.123, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 + j**2 - 2*j + 1. Let f = -1 + 2. Let o be z(f). Let v be ((-1)\/(-1))\/(2 - 0). Is o bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from {w: 11, d: 9}?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 2\/5, 5664 in increasing order.\nAnswer: 0.03, 2\/5, 5664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and ((-38)\/(-10) - -1)\/(4\/10)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eleven halves of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 544438.2 months in years?\nAnswer: 45369.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 23 = 18 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58078 is divided by 2433?\nAnswer: 2119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*x = -1, -2*j = -3*x - 45. Let i(h) = -9*h**3 - 244*h**2 - 35*h - 48. Let f be i(-27). What is the greatest common factor of f and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 0*k - 24 - 12*k.\nAnswer: -12*k - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 - 1957\/285) + (56\/30 - -2). Let b be -2*(-1)\/6*-1. What is the smallest value in g, -4\/3, b, 5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 - -f?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4546 + 2816 + 90909*p**4 - 90907*p**4 - 1655*p**2 wrt p.\nAnswer: 8*p**3 - 3310*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.569622933 and -1.502.\nAnswer: 1.067622933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1462409279?\nAnswer: 41, 4651, 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 3*q - 6*q - 4*f, -4*f - 54 = -2*q. Suppose q*o - 18*o - 1635 = 0. Let d = o + -137. What is d rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 12*j + 8. Let t be 3 + 174\/(-54) + (-86)\/18. Let u(r) = r**2 + 15*r - 10. Let k(w) = t*i(w) - 4*u(w). Let c(b) = -282*b. What is k(c(h))?\nAnswer: 79524*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -5, 0.2, -0.22, 0.4.\nAnswer: -5, -0.22, 0.05, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**2 - 4*o. Let y(a) = 36*a**2 + 30*a. Let z(q) = -15*b(q) - 2*y(q). Let p(w) be the first derivative of 2*w**3\/3 - 1. What is z(p(j))?\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xlj when three letters picked without replacement from jjljlllxjll.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 19. Let y = -3 - z. Solve 0 = y*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8697669 is divided by 442?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 472 - 184. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from {l: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -4030614.\nAnswer: -4030614","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 - p + 9. Calculate x(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27605 - -27606. What is the closest to -16 in c, -5, -2\/5, -2.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvw when three letters picked without replacement from {w: 2, v: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 21 in descending order.\nAnswer: 21, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlcqlcqcaqclcqclqqcc. Give prob of picking 2 c and 2 q.\nAnswer: 196\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + -12. Let u be 1*4\/(-8)*o. Suppose -4*b + u = -15. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217310.5 grams to kilograms.\nAnswer: 217.3105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 x when three letters picked without replacement from {x: 7, e: 12}.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63256950 to the nearest integer?\nAnswer: 7953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 215 = -119*a, -52 = 580*h - 582*h - 3*a for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + -1)\/((-38)\/(-4)). Let d = -89\/76 - t. What is the second biggest value in -1\/2, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*((-15)\/(-10))\/(-1). What are the prime factors of (2 + (-70)\/(-4))*6 + x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26988 and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1246 is divided by 104.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -674877 - 317666 = -191*i - 35251. What is the greatest common divisor of i and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4133471204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -16. Suppose 2 - 6 = -p*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 10:09 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 339304283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/82 in 1\/5, -3.2, -1, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 100*o**2 + 26*o - 27. Let a be c(31). Suppose -27*z = -171852 - a. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 * 222\nAnswer: 42.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4325233 is divided by 45054?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/95 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -34, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + -5)\/((-6)\/(-4)). Let h(v) = v**2 + 7*v + 6. Let c be h(n). Let z(g) = c*g**2 - 133 + 5*g**2 + 133. Let j(f) = f**2. Give z(j(x)).\nAnswer: 5*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/11 (b) -1\/4 (c) -9118 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6.0239 or -11.4?\nAnswer: 6.0239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*r = 63*r + 28. Let j = 43 - -5. What is the tens digit of (j\/r)\/((-5)\/35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 12*b**3 + 8*b - 2. Let r = 49 - 53. Let k(d) = -d**3 - d + 1. Let w(l) = r*k(l) - 2*h(l). What is the second derivative of w(s) wrt s?\nAnswer: -120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z + 4. Let c(g) = 3*g - 5. Let a(s) = -3*c(s) - 4*n(s). Let v be a(-4). Put v, -4, 2 in decreasing order.\nAnswer: v, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 4:39 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 764*m + 115*m - 1156 + 127300 = -289*m for m.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73 - 13*r + 73)*(r + 0 + 0*r + 1).\nAnswer: -13*r**2 - 13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-2 + 5 - (0 - 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 29*l**6\/3 - l**2\/2 - 52*l + 14. What is the second derivative of h(y) wrt y?\nAnswer: 1160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 5*g - 5*o = -49, -5*g = o + 323. Let z be g\/28 + 2\/7. Is (-17)\/z*(7 + -1) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 332144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2. Let p(d) = -574*d + 55*d + 5*d - 282*d - 493*d. Calculate p(i(g)).\nAnswer: -1289*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -729, -1694, -3055, -4812, -6965?\nAnswer: -9514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -590\/9, -0.1, -1, 0, 1 in ascending order.\nAnswer: -590\/9, -1, -0.1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.4, 2\/23, 2\/13, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3246115 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (71422\/(-156))\/(-41) + (-1)\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/9 - 40*v**3 - 12194*v**2\/9 + 4596*v + 53200\/9 = 0.\nAnswer: -133, -50, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2220 and -7.\nAnswer: -2227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -20*n + 98. Let i be f(4). Suppose 18*c = 23*c - 5*z - 95, 3*z - i = -2*c. Calculate the remainder when 236 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/(-18) - 3\/(-12) and -83\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/17 + (23\/(-460) - 95656\/(-2720))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2223 + 2225. Solve -4*l + 18*s = 22*s + 8, 3*s + 16 = u*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1163309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -697 and 3579 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 6. Let t be v(-3). Suppose -6 = n - t*n. Factor 4 + 2*i**n + i**3 + 2*i - 6*i**2 - 5*i**3 + 2*i**2.\nAnswer: -2*(i - 1)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 9. Let c(m) = m + 1. Let r(t) = -2*t - 2. Let v(o) = j*c(o) - r(o). Suppose -7 = 5*g - 2*i, 4*i + 0 + 4 = 4*g. Calculate v(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 689622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278597?\nAnswer: 11, 19, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, a: 2, n: 1, u: 2, j: 1}. Give prob of picking 2 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + s + 6 = 0, -2*l + 7*s + 10 = 3*s for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21037 and 245141.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipp. What is prob of picking 2 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2339\/84 + -251\/12. Calculate the common denominator of 125\/42 and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*(0 + sqrt(847)*1 + sqrt(847) - (sqrt(847) + -2)*1).\nAnswer: 8 + 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l - 9. Let g be x(7). Suppose -4*t + 5*t = 3*d + g, -2*d - 8 = -2*t. Suppose t*z + 39 = z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/16*0\/(-433)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*z - 85 = z, z = 1. Suppose -j*k + 1932 = -23*k. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/3)\/g)**(1\/15))**(2\/5) assuming g is positive.\nAnswer: g**(-8\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5719635*x**4 - 2*x**3 + 24227*x + 164.\nAnswer: 68635620*x**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*d**3 - c**3*d**2 + 10*c**3*u**3 - 3*c**2*d**2*u**3 + c*d - 162*d**3*u**3 wrt d?\nAnswer: -12*c**3 - 972*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -1)*416\/(-64). Let l be -2 + -5029996 - (-5 + x - 6). Round l to the nearest 100000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -91*n**5 - 177*n**4 - 37*n**2 - 2*n + 247?\nAnswer: -5460*n**2 - 4248*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (2 + -1 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-430)\/(-4085)*-1*2.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 25*d + 143. Calculate m(-5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - l - 2. Let t(z) = -z + 1. Let b = -111 - -112. Let i(p) = b*c(p) + 2*t(p). Factor i(q).\nAnswer: q*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 3*d - 10, 96*d = 4*q + 94*d - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - -1) + (11 - 208\/13). Put 17, -1, 7, w in ascending order.\nAnswer: -1, w, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 9*v + 6. Let d(x) = -x**2 + x + 7. Let k be d(0). Let b be y(k). Let t = 11 + b. Solve 0 = 3*i - t*f + 3, -2*f = 4*i - 7*f + 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00362 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 122219141 a multiple of 1473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2717115350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**4 - 276630*y**3 + 211271775*y**2 - 40275829880*y + 79708785780 = 0 for y.\nAnswer: -56082, 2, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2550 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 308166?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 448715452 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 2*k - 104, -3 = l - 5*k - 18. Let t = l + -23. Suppose -4*n + 16 = t*b, -4*b + 66 + 2 = -n. What is the remainder when 47 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*t + 4*t + 2*t)*(5*t - 2*t + 3*t) + t**2 + 0*t + 0*t + (4 - 4 + 6*t)*(-4*t - 2*t + 0*t) as j + g*t + h*t**2 and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*((-1*sqrt(200) - sqrt(200))\/sqrt(5))\/(sqrt(32)\/(sqrt(4) + sqrt(64))).\nAnswer: -2 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**5\/5 - 6*p**4\/5 + 8*p**3\/5.\nAnswer: -2*p**3*(p - 1)*(p + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55418 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0, 1\/4, 18800, -2?\nAnswer: 18800","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 7:48 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s**3 + 9*s**2 - 9*s. Let k(o) = -27*o**3 - 27*o**2 + 28*o. Let j(i) = -2*k(i) - 7*q(i). Let l(u) = 5*u**3 + 5*u**2 - 4*u. Give 3*j(z) + 5*l(z).\nAnswer: -2*z**3 - 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t + 1. Let p be (9 - 8)\/(2\/t). Are p and -3\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvb when three letters picked without replacement from {v: 1, b: 19}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -9, 4 in increasing order.\nAnswer: -9, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166861331 by 442603.\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 7) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -263, -658, -1053, -1448, -1843?\nAnswer: -2238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8374)\/1580)\/((-7)\/70).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 12\/7*g**2 - 26\/7*g**3 + 0 + 10\/7*g**4 + 0*g = 0. What is g?\nAnswer: 0, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -188 - -116. Is (-3184)\/q - ((-8)\/(-18))\/2 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 847, 757, 657, 547, 427, 297, 157?\n\"Answer: -5*c**2 - 75*c + 927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 7*f**2 + 9*f - 7. Suppose 0 = 5*o + 4 - 44. Let g be j(o). Is g*-4 + -8 + 8 + 881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9\/g**(-8))**(18\/13)\/((g**(-1\/3))**(-2\/25))**(-16) assuming g is positive.\nAnswer: g**(23366\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/4120 and -52\/145745.\nAnswer: 1165960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59435600 rounded to the nearest 1000000?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-50)\/(-1)*(-9 - 517\/(-55)) - -7. Solve 4*t = -3*l - 9, 2*t - r = 3*l - 18 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - -0.9. Let z = -1.323 + 0.923. Sort o, 4\/3, z, 0 in descending order.\nAnswer: 4\/3, o, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 2.5. Let r be (-4 + (-10)\/(-2))*(-2 - -5). Let b be (r\/5)\/(-1)*(4 - 5). What is the biggest value in m, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - n - 1. Let t(a) = -a**3 + 8*a**2 + 8*a + 7. Let o(d) = -18*b(d) - 2*t(d). Let v be o(0). Suppose v*s - 314 = 62. Is s a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 380, 2568, 8530, 20162, 39360, 68020?\nAnswer: 108038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14656.3 rounded to the nearest 100?\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from qggvvquvv?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2108, 7286, 15530, 26840?\nAnswer: 41216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 83334 and 561?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (4 + 22 + 1168\/(-16))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/(126\/(-85)) - 4\/(-14) and -49\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6548.658 micrometers in centimeters?\nAnswer: 0.6548658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lplwldddflduwlluul. What is prob of picking 1 w and 2 u?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 184.8441 nanograms?\nAnswer: 0.0000001848441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1021221211022 (base 3) to base 4.\nAnswer: -2213332301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 14*p**3 + 2*p**2 + 7*p - 13. Let r be s(4). Let n = r + -2828\/3. Factor -n*m + 2\/3 - 1\/3*m**2.\nAnswer: -(m - 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161493*m**2 + 0 + 10*m + 0 + 11*m - 161475*m**2.\nAnswer: 18*m**2 + 21*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f. Let r(d) be the second derivative of d**4\/12 - 7*d**3\/6 + d**2\/2 + 4*d. Give r(j) + 5*z(j).\nAnswer: j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/4, 1\/9, 2, 22?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4416 + -4416.623. Is 2\/7 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -597773 divided by -7?\nAnswer: 597773\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -332\/3 + 2005\/18. Suppose 4*f = -2*f + 246. Calculate the common denominator of g and ((-15)\/(-10))\/((-3)\/f).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86216 (base 9) in base 6?\nAnswer: 1120023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(128) + 1 + (sqrt(1152) + 0 + sqrt(32))**2 + sqrt(32) + 2*(sqrt(256)\/(sqrt(8) - 6*sqrt(72)))**2.\nAnswer: 12*sqrt(2) + 453505\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -103229*o + 1651641. Give b(16).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -15. Solve h*k + 1 = -3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/24*9\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = n. Let y = n + -7. Let k be (-6)\/y + (-1)\/(-2). Solve -l + k*l = -2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*t**2 - 607*t - 170.\nAnswer: 4*t - 607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1472 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/1716 and 56\/3.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.0545.\nAnswer: 0.01635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 15*p**2 + 26*p + 2. Give g(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*o**3 + 27*o**3 + 26*o**3 - 18*o**5)*(52 + 15 + 0 + 0 + 0 - 1 + (1 + 2 - 2)*(-1 + 1 + 2) + 0 - 2 + 1).\nAnswer: -1206*o**5 + 134*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/526257 and -2\/65043.\nAnswer: 5788827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Let i = 9 + -5. What is the smallest value in -4, n, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52877 >= 52876?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-61514)\/(-7))\/((-2272)\/(-112) + -20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271*s - 272*s + 41 = 0. Solve 10*h + s = 71 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 16*b - 6. What is the remainder when k(12) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v**2 - 355*v - 1865. Determine t(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 2 - 4) + -1 - -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24585 - 24532.355. Let s = -0.945 + x. Let q = 63 - s. Round q to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 6) in base 10?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 0*g**3 + 0 + 1\/12*g**4 - 1\/60*g**5 + 2*g**2 + 0*g. What is the units digit of q(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwhwwwh. Give prob of sequence wh.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 + (-120)\/(-28). Let l = -8 - 9. Let d = 20 + l. Solve d*w - 13 = -f*h - 2, 0 = -2*h - 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 628342157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59143.\nAnswer: 7, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -12*y**2 - 12*y**2 + 23*y**2. Let t(v) = 32*v**2 + 1. Give t(d(o)).\nAnswer: 32*o**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/3, -99, -2\/9, 2\/13, 0.295?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by -61\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m + m + m)*(-20 - 31 - 1) - 3*m - 3*m + 3*m to the form k*m + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 12400?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1885 smaller than -69792\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ej when two letters picked without replacement from xuxuujxeuuhuxeeu?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, -0.2, 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from cifvl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8822007 - 2*(847\/22)\/11. Round x to the nearest one hundred thousand.\nAnswer: 8800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 314*c*k - 30511*c + 28*k - 856491 wrt c.\nAnswer: 314*k - 30511","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6708, -6706, -6704, -6702, -6700?\nAnswer: -6698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 245, 236, 225, 212?\n\"Answer: -d**2 - 6*d + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20251309 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 394192?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 10) to base 13\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44401 (base 13) in base 5?\nAnswer: 12424314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7488 - 5210. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -330708\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -2\/3 (c) -0.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 46 - 36. What is the lowest common multiple of (8\/6)\/(2\/3) and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c + 254. Let k be (-16)\/20*19*(-15)\/(-6). Let y be p(k). Which is smaller: y or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105768395.\nAnswer: 5, 149, 141971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -292\/333 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5509405 and 33056430.\nAnswer: 33056430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 4, 12 in ascending order.\nAnswer: -3, -1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1087900.\nAnswer: 2, 5, 11, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m**3 + m**2 - 10*m + 11. Let o(x) = -x**3 - 2*x + 2. Let z(q) = -2*h(q) + 11*o(q). Is 13 a factor of z(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 3 - 3)*(304 - 3 + 92)*(0*m + 3*m - m).\nAnswer: -786*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-27)*c*c**(6\/11)*c assuming c is positive.\nAnswer: c**(-269\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87317808 and 624256?\nAnswer: 698542464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**4 + 20550*n**3 - 82239*n**2 + 61686*n = 0. Calculate n.\nAnswer: -6854, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30\/13, -3, 12, -5, 1\/3, -2 in descending order.\nAnswer: 12, 30\/13, 1\/3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 2*s**2 - 4*s - 3. Let g be k(-2). Suppose 2*c + 69 = 4*c - 3*x, 0 = -5*x + g. Let i = 78 - c. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38045?\nAnswer: 5, 7, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.6 + -23.1. What is the nearest to 1 in s, 4, -1\/3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12793481.\nAnswer: 331, 38651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oallkfoooo. Give prob of sequence olk.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66.244 - 66. Let c = 0.151 - l. Let t = 0.007 - c. What is the smallest value in 1\/6, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**0*u*u))\/u**5*u**(-3\/2)\/u*u*u**(-1\/7)*u assuming u is positive.\nAnswer: u**(-107\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, q: 2, o: 3, v: 9, n: 1}. Give prob of sequence qo.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1086 + 1089. Let s = -1 + 1. Solve -a - 4*l = 9, s = -2*a - z*l - l - 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnnf when four letters picked without replacement from {n: 11, s: 2, f: 6}.\nAnswer: 275\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3777*d + 48 = 3774*d, -30*a - 10*d = 260 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9540.95356 rounded to zero decimal places?\nAnswer: 9541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18, 39, 62, 87?\n\"Answer: y**2 + 18*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -118327600 rounded to the nearest 100000?\nAnswer: -118300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 298 + 1204. Calculate the smallest common multiple of c and 18.\nAnswer: 13518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47287 smaller than -47365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-123)\/176 - (-20909)\/32857.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2270, 4338, 6438, 8570, 10734, 12930?\nAnswer: 15158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5*h - 34, -5*q - 24*h + 58 = -21*h. Let r(i) = -i**3 + 15*i**2 - 16*i + 18. Calculate r(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 13*g**2 - 112*g - 1437. Let d be y(-11). Solve -d*q - 9 = -28*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three sixths of a day in minutes?\nAnswer: 10320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28875193?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -16, -4, 25.\nAnswer: -16, -4, -2, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29015 is divided by 90?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - 31. Let x = -14 + y. Let q = x + 4. Which is the closest to q? (a) 0.5 (b) -2\/11 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -299, -641, -1047, -1517, -2051, -2649, -3311?\nAnswer: -4037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 296751149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -ed?\nAnswer: f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5\/10 - 4*y**4\/5 - 69*y**3\/2.\nAnswer: y**3*(y - 23)*(y + 15)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 26*o. Let c(h) = -16*h**2 - 10*h + 10. Let f(i) = 5*i**2 + 3*i - 3. Let l(v) = 3*c(v) + 10*f(v). Determine m(l(p)).\nAnswer: 52*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-895)\/358*(-1)\/((-15)\/36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3994390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144902, 579828, 1304764, 2319710, 3624666, 5219632, 7104608?\nAnswer: 9279594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -5*j + 12. Let b = -4 - -1. Put b, -2, j in decreasing order.\nAnswer: -2, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*i + 13. Let s = -28 - -44. Suppose 0 = 4*z - 4 - s. Let b(j) = 7*j**2 + 6*j - 7. Let o(m) = 11*m**2 + 9*m - 11. Give i*b(x) + z*o(x).\nAnswer: -x**2 - 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.16 + 5.84. Let m = 175 + -579. Let p = m + 402. Which is the second biggest value? (a) p (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 600101\/105 - 5716. Let j = u - 1\/21. Suppose 0 = -3*q + 7 - 13. What is the nearest to 2 in q, 1\/4, j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in nine tenths of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 6) to base 12.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 23\/1472*8*(-2)\/4*-10. What is the third smallest value in v, 4, -0.37?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22748 and 51788.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1906646 by -65.\nAnswer: -1906646\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -24. Let y = l + -3. Solve 0 = 4*b + y*c + 3 + 10, -2*c = 2*b + 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(104) + 6*-1*sqrt(104))\/((sqrt(128) - (sqrt(128) - sqrt(128)*-3)) + sqrt(128) + sqrt(8)).\nAnswer: 1 + 5*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 less than -3973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q. Let r(p) = -p**3 + 34*p**2 - 35*p + 69. Let h be r(33). Let d(x) = x. Calculate h*k(y) - 14*d(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - x = -5*j - 1, 3*j + 2*x + 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -45966 - 1?\nAnswer: -45967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3183 (base 13) in base 5?\nAnswer: 204432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 a factor of 51532078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**4\/4 + c**2\/2 + 105*c - 4. Let t be b(0). Calculate the highest common divisor of t and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 9:43 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 468\/335 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from {t: 2, c: 2, j: 1, n: 2, w: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*h + 18*h - 56*h**2 + 184*h**2 - 4 - 127*h**2 + 4.\nAnswer: h**2 + 158*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15216 divided by 4243?\nAnswer: 15216\/4243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -62*d**3 + 90*d**2 - 5*d - 24. Let c(j) = 31*j**3 - 44*j**2 + 2*j + 10. Determine 5*c(u) + 2*i(u).\nAnswer: 31*u**3 - 40*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express a - a + 2*a**3 + (347 + 7*a - 347)*(-3*a**2 - a**2 + 5*a**2) in the form w*a + b*a**2 + z + k*a**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 18 + 3. Put a, 1\/4, 1, -3 in increasing order.\nAnswer: -3, 1\/4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*j*t**3 + 322*j - 24*t**3 wrt t.\nAnswer: 12*j*t**2 - 72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15086, 30174, 45262, 60350?\n\"Answer: 15088*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 + 74. Suppose -d + 12 = 3*d. Solve -d*n - 4*w = 15 + 1, b*w = -n - 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 208 and (6 - (8 - 1))*-12.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/2107381?\nAnswer: 2\/2107381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.232 - -0.058. Let m = c - 0.03. What is m rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/(-119)*47\/((-489834)\/189)?\nAnswer: -2\/193","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(833))*4)**2*1 - (sqrt(833) + (sqrt(833) + 2 + sqrt(833) + -1)**2 - ((sqrt(833)*-2)**2 + 0)).\nAnswer: -35*sqrt(17) + 13327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-21))**11\/(f*f*(f*f*f*f**(-6\/7)*f*f)\/f)**37 assuming f is positive.\nAnswer: f**(-2949\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/3, 0.2, -1\/4 in ascending order.\nAnswer: -1\/3, -1\/4, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132129?\nAnswer: 3, 53, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(r*r**(-2\/3)*r))*r**(-2\/13)*r\/r**(2\/27)*((r*r**(2\/25)*r)\/r)\/r)**(-46) assuming r is positive.\nAnswer: r**(-1285792\/8775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1510*f - 143*f = -62814 for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1102 or 1101?\nAnswer: 1101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1481 rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4100 + -4102. Let k(d) be the first derivative of -d**3\/3 + d**2 + 2. Let s be k(3). Sort 2, w, s in descending order.\nAnswer: 2, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from irribdiiidiirdsddrnr?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x - 429. Let u be v(0). Let y = 432 + u. Solve -16*a - y = -13*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + -7.5. Let u = f - -7.2. Let h = u - -4.8. Which is the smallest value? (a) -0.3 (b) 0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s + 26. Let m be p(-12). Suppose -m*r - 3*o = 4, 7*o + 12 = -2*r + 2*o. Suppose r*f = -5*i + 245, -4*f + 192 = 5*i - i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 + -48. Let x(t) = 8*t - 82. What is the remainder when w is divided by x(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 674041 + 0?\nAnswer: 674041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -60612.9 and 16.633.\nAnswer: -60596.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -1057*y - 4116. Let d be x(-4). Is d at most as big as 113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 390236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 19. Suppose 2*q + 4*b = 4, 0 = -q - 4*q + 2*b + 58. Calculate the remainder when o(0) is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2750*j**5 - 3*j**4 + 72*j - 6. Let v(x) = 5502*x**5 - 7*x**4 + 145*x - 14. Let i(f) = 7*c(f) - 3*v(f). Find the second derivative of i(n) wrt n.\nAnswer: 54880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -19 - (-74 + 49).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*i + 5*i + 65 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 709361 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68)*2 - sqrt(68))*1 + sqrt(68))\/(1*sqrt(144)))**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/385*(-392)\/(-210)*20\/(-16)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2150230 (base 8) to base 15.\nAnswer: b6278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -121772, -487119, -1096032, -1948511?\n\"Answer: -121783*i**2 + 2*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3040 - -3039. Is -2\/9121 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302 (base 5) to base 15.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18456033*w**3 - 82*w**2 + 345924?\nAnswer: 110736198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**3\/3 + 49*j**2\/2 + 59*j + 219. What is the remainder when 173 is divided by q(-48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**7\/560 - 3*n**6\/160 + 13*n**5\/160 - 3*n**4\/16 + n**3\/4 - 33*n**2. What is r in z(r) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1971)\/(-135) - (22 + -2).\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -5. Let h = b - 11. Let m(g) = g - 2. Let y be m(-6). Which is smaller: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 14*l + 2. Let c be b(14). Suppose c*i - 4*w = -0*w + 70, -5*i + 5*w = -160. What is the remainder when i is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**5*p + 277656*f**4*p + f**2*p - 7090*f*p wrt f.\nAnswer: 60*f**2*p + 6663744*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-108)\/(-1134) + 244\/84. Solve 4*t + g*t = 13*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163 + -33090643.78.\nAnswer: -33090806.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 2*o**3 + 0 - 13*o + 28\/3*o**4 - 1\/2*o**2. Find the second derivative of j(z) wrt z.\nAnswer: 224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1556653 to the power of 1\/2, to the nearest integer?\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, 8 in descending order.\nAnswer: 8, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 98317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.13 - -1.08. Which is the closest to -3? (a) p (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 2*y**2 + 3*y + 3. Let g = 29 - 23. Let z(x) = x - 1. Let u be z(3). Let m(p) = p + 2 + p**2 - 1 + 0*p**u. Give g*m(h) - 2*n(h).\nAnswer: 2*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 - 503?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*p - 5 - 8, 4*p + 5*w + 16 = 0. What is the least common multiple of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 5*m**2 + 3*m - 2*m - 7*m**2. Let y(p) = p**3 + 5*p**2 - 3*p. Give 3*o(u) + y(u).\nAnswer: u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -52983696 divided by -272?\nAnswer: 194793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 + 207*j + 587. Calculate l(-66).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -532\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(-133)*((-954)\/(-159))\/((9\/2)\/(-1))\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/24)\/((-2)\/(-12)). Suppose -11 = -t*w + 2*w. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8639 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2512794388.\nAnswer: 2, 13, 41, 1178609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 4*w - 39292 + 78919 - 39423, -2*s = w + 42 for w.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y - 1. Let s(a) = 9*a + 3. Calculate 5*o(p) + 2*s(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 8. Suppose i + 9 = y*i. Suppose -4*k + 17 = 5*p, 4*k - 3*k = -i*p + 13. Is 3 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 6. Suppose 3*o - o - 10 = 0. Solve u*w = -4 - o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 5*k + 1469 = 11*b, -2191 = -3*b - 5*k. Let f = -732 + b. Sort f, -4, 1.\nAnswer: -4, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/62 + 13734644\/4774 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 62468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) -202 (c) -158 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 2:59 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1916 is divided by 128?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-319)\/66 + (1 - 7\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/4)\/(-3)*-8. Let j be a\/(-18) - 190\/45. What is the units digit of (-3)\/3 - (1 + j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n**2 - 5*n - 2. Let i(m) = 3*m - 30. Let d be i(8). Let g be w(d). Suppose -238 = -5*k - p, 2*p + g = -2*k + 7*k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 26367*j**2 + 751*j - 750. What are the prime factors of d(1)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -36 (b) 10.613 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -12*i**3 + 2*i. Let d(g) = -23*g**3 + 5*g. Determine -2*d(s) + 5*p(s).\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2883 and -0.9.\nAnswer: -2594.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*i = 5354499 + 15983999. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 12*n**4 - 36*n**2 - 2. Find the second derivative of a(s) wrt s.\nAnswer: 288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 773 + -295. Is w a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 9, -5 in descending order.\nAnswer: 9, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 16*g - 195. Let x = g + 14. Suppose 0 = 4*n - 3 - x. Solve -n = -3*v + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h + 7*h - 6 + 10*h.\nAnswer: 12*h - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -30*y - 95. Let j(h) = 20*h + 47. Determine -3*c(k) - 5*j(k).\nAnswer: -10*k + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1757411.\nAnswer: 1757411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s + 18*s + 23*s - 9*s.\nAnswer: 37*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7308 + 6641 = 377*i for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11565017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18084 or 18087?\nAnswer: 18087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-21) + -1 - 87\/(-21). Let g be (3\/(-9))\/((-1012)\/252 + l). Calculate the greatest common divisor of 63 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47210 and 20.\nAnswer: 94420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o**4 - 11*o**3 - 14*o**2 - 16*o - 12. Let g(i) = 9*i**4 + 21*i**3 + 29*i**2 + 33*i + 23. Let v(f) = -4*g(f) - 7*r(f). What is k in v(k) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*v**2 - v**3 - 100*v**2 + 44*v**2 + 0*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from ncnncncpnnnnnnnn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 276 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -22559 (base 13) to base 3\nAnswer: -10011122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 138*d + 7299. Determine v(-53).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 21*r**2 + 2*r + 4. Let c be f(21). Let q be c\/40 + (-3)\/4. Sort 5, 0.06, q, -0.2 in decreasing order.\nAnswer: 5, q, 0.06, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*o**2 - 18*o**2 - 16*o**2 - 20*o**2 - 29*o**2 - 10*o**2.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = 28*v + 28 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t + 12 = 0. Let w = 17 - t. Let g = w - 8. What is the remainder when g is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-16))\/u)\/((u**5*u*u)\/u) assuming u is positive.\nAnswer: u**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/4 + 9*x\/2 - 19\/4.\nAnswer: (x - 1)*(x + 19)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9102 is divided by 1472?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 839510, 1678579, 2517648, 3356717?\nAnswer: 4195786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c**2 - 4 - 5*c**2 + 4.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 20 = -x. Let f = x + -14. Let s(h) = h**3 - 3*h**2 - 11*h + 8. Let i be s(5). Put f, 0, i in increasing order.\nAnswer: f, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**4\/12 - 5*u**3\/3 + 5*u**2 - 2*u. Let a(x) = 3*x - 11. Let t(m) = -4*a(m) + 5*j(m). Let b(g) = -2*g**2. Give b(t(w)).\nAnswer: -8*w**2 - 48*w - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1800) + sqrt(50) + -3 + -1 + sqrt(200) + -4 + -4.\nAnswer: -12 + 105*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 0.09, 70, -2\/5, 108 in ascending order.\nAnswer: -2\/5, 0.09, 3\/2, 70, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 2\/9, -0.077, 5?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 111*m - 6146 = 104*m + 3899 for m.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = x - 0*x + 4*h, x = h + 4. Let q be (0\/((-9)\/3))\/x. Let z(t) = 2*t + q - 2 - t. What is z(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 8*a - 132. Let g be w(16). What is the remainder when 447 is divided by 9 + g + -1 - -46?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 1\/3 (c) 4132410\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 159408 - 218833801\nAnswer: -218674393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oooooooooeooooo.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265 - 1981*l**2 - 265 + 1976*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a + 4. Let z be o(-3). Let b be (-1)\/z + (-616)\/(-20). Solve -v - p = -3*v + 3, -4*v - 3*p = -b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 1. Let q be (22\/(-4) + -2)*c. Suppose -135 = -h - 0*h. What is the highest common divisor of q and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6556858, 13113737, 19670616?\nAnswer: 26227495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1501, -3003, -4505?\n\"Answer: -1502*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21147.\nAnswer: 3, 7, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 385 and 154.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4647921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n - 6. Let m(b) = 7*b + 11. Let c(z) = 6*m(z) + 11*r(z). Give c(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 11:36 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 5*x - 2 = -3*h, -3*h = -2*x - 10. Suppose h*i - 9*i = -3. Solve 2 - i = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6}. What is prob of sequence zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37578304 and 4697288?\nAnswer: 37578304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2231294 - -429.543\nAnswer: 2231723.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -55161, -55159, -55157, -55155, -55153?\n\"Answer: 2*a - 55163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.941? (a) -4 (b) -5 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, -131989, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 20*z - 47. Let k(n) = 7*n - 16. Let u(r) = 17*k(r) - 6*x(r). Calculate u(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*g - 6*g + 5*i, -i = -4*g + 8. Suppose 0 = -0*r + 3*r + 4*s - 60, -g*s = 6. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, m: 6, f: 1, a: 1, v: 1}. What is prob of sequence fm?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10473 rounded to the nearest 100?\nAnswer: -10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 70197 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 11. Let d be k(-4). Let m be 720 + 3\/(d\/(-25)). Suppose -5*z + m - 2 = 4*r, r - 152 = 4*z. List the prime factors of r.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + 4*l - 2*l)*(3 - 3 - 3*l) + 360*l + 357*l + 72*l**2 - 714*l as b + i*l + y*l**2 and give y.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 6*y**2 - 4*y + 1. Let m(j) = j + 11. Let z be m(-6). Let x be r(z). Calculate the greatest common divisor of x and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -782 and -782 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**11*w)\/w**(-1\/10)*(w\/(w*w\/w**(-8\/3)))\/w**(-2\/41) assuming w is positive.\nAnswer: w**(-15397\/1230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 513*j + 8 - 38684*j**2 + 513*j in the form a + p*j + o*j**2 and give o.\nAnswer: -38684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*s - 52*s + 270*s = -256*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**12)\/(a**(7\/6)*a)*(((a*a**10)\/a)\/a)\/(a*a**(-1\/6)*a*a) assuming a is positive.\nAnswer: a**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(0*o**2 + 2*o**2 + o**2) + (-5*o + 6*o - 2*o)*(0 + 2*o + 0).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -63\/8 (b) 12 (c) -10 (d) 39.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 485.8401um in meters?\nAnswer: 0.0004858401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 + -81. Let v = 75 + -106. Let s = 31.1 + v. Which is smaller: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6*(-21)\/14*(-84)\/3024?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16756, -17112, -17426, -17692, -17904, -18056, -18142, -18156?\nAnswer: -18092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -15*y + 4*o, 0*y - o + 2511 = 3*y + o - 6*o + 2503 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.1 (b) 0.055 (c) 577 (d) 2 (e) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) - (-17)\/(-3). Let o(f) = -f**3 - 5*f**2 + 5. Let q be o(s). Let u be 0 + -1 + 1 + q. Solve l - 4*p = 2*l - 5, 4*p = u*l + 23 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -31?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 - -100.2.\nAnswer: 80.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -23997*g. Let w(x) = 3*x**2. Calculate w(c(m)).\nAnswer: 1727568027*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*g**2 - 4*g**3 + 0*g**3 + 3*g**3.\nAnswer: -g**3 - 70*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/167 and -21?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*k + 3 + 53 = 0, 2*s - 64 = -2*k. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 8*o**2 + 5. Let r be 31\/(-4) - 3\/12. Let y be l(r). Let g be 9 - (9\/3 + 1). Solve -y*v - 35 = -0*c - g*c, 2*v + 19 = 3*c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.05 and -0.65115.\nAnswer: -3.70115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/45? (a) -1 (b) -0.06 (c) 0 (d) 0.18 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 686*v**3 - 9685830531*v + 9685830531*v.\nAnswer: 686*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -199*j**2 - 16*j - 28. Let p(c) = -8*c - 8*c - 66*c**2 - 9*c + 20*c - 10. Let i(s) = -6*g(s) + 17*p(s). Find the second derivative of i(d) wrt d.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/4419 + 300485\/30933. Let b = 66\/7 - p. What is the third smallest value in -8, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 144*c**2 + c - 8. Suppose 4*f - 2*u + 36 = 6, 36 = -4*f - 4*u. Let a be p(f). What is a rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221 - 6591 = 182*a for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 3 = 0, -z - 37 + 48 = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -51 * 0.11\nAnswer: -5.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4 = -0*i - w, -i + 3*w - 12 = 0. Suppose -34*b + 25*b + 9 = 0. Put -20, 5, i, b in decreasing order.\nAnswer: 5, b, i, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -770, -1409, -3056, -6215, -11390?\n\"Answer: -84*c**3 - 51*c - 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(272) + -1)**2.\nAnswer: -8*sqrt(17) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v - 4*v - 20*v - 3*v + 0*v + 2*v + (5 - 3 + 0)*(3*v + 0*v - 2*v) - 2*v - 2*v + 6*v - 9*v + 0*v + 2*v.\nAnswer: -26*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*c**2 + 4*c + 537*c**2 - 198*c**5 + 354*c**2 + c**3 - 4*c wrt c?\nAnswer: -11880*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*i - 62, -i - 4*i + 75 = 5*w. Let j = i - 7. Calculate the greatest common divisor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*t - 3, -3*t - i - 4 = 3*i. Let w be ((-16)\/64)\/((-7)\/140). Suppose 0 = 2*v - 4*p - 48, 0*v + 3*v - 56 = -2*p. Solve t*y - v = -w*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**9*s**15 assuming s is positive.\nAnswer: s**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 149 = -5*h + 3*b, 2*b = 4*h + 118. Let s = h - -43. Solve 5 + s = 5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 116424 or 116426?\nAnswer: 116426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from hhhhhhhhhhhhhhhhhxh.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(6\/1 + (-2 - 435)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 106 + 33 = 0. Let n = -69 + r. List the prime factors of -2 + 276\/(n + 0).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 9*k - 32. Let c be n(3). Let i(o) = o**3 + o**2 - 16*o + 14. Let h be i(c). Let p(m) = -2*m**2 - 8*m + 4. Determine p(h).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + (0 + ((sqrt(325) + 1)*2 - sqrt(325)) + -3 + -1 + sqrt(325))**2.\nAnswer: -40*sqrt(13) + 1297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -4\/45*m**5 + 1\/27*m**6 + 0 + m + 0*m**3 + 0*m**2 + 2\/27*m**4 - 1\/189*m**7. Factor u(o).\nAnswer: -2*o**2*(o - 2)**2*(o - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vbv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 194853 divided by 3\nAnswer: 64951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 4. Let i be l(0). Let v(z) be the second derivative of 0 + 0*z**3 - 2*z - z**2 - 1\/6*z**i. What is the derivative of v(q) wrt q?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12\/5 (b) -5 (c) 0.1 (d) 4 (e) -65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 j when three letters picked without replacement from lyxjjxnn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82659?\nAnswer: 3, 59, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ac78 + -4?\nAnswer: ac74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.453 + 0.253. Let w = -4 + 4.4. Let i be (2 - 56\/30)*-3. Which is the nearest to p? (a) i (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -167 - 4 = -4*r + 12*i - 23, -r = -i - 13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.13594 and 0.59?\nAnswer: 0.6702046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**2*z**3 + 8*q**2*z**2 - 5*q**2*z - q*z**5 - 6*z**5 wrt z.\nAnswer: 6*q**2 - 60*q*z**2 - 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 + 2 - 2 + (3*m**2 - 2*m + 2*m)*(-1 + 2*m + 1) - 6*m**3 + 3*m**3 + m**3 - 2*m**3 - 3*m**3 + 6*m**3 - 8*m**3 + 28*m**3 + 17*m**3.\nAnswer: 44*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -500 and -500 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934688 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -1\/2*d**3 + 0*d**2 + 3\/20*d**5 + 0 + 0*d**4 - 2*d. What is the second derivative of m(l) wrt l?\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5 = -0. Suppose -5*o + 11 - f = 0. Suppose -10 = -3*d + 2*u - 0, 0 = -o*d + u + 6. Calculate the remainder when 5 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/458 and 2\/(-11) + 12 + (-459)\/34.\nAnswer: 5038","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 m when four letters picked without replacement from {e: 6, m: 4, v: 1}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 367938*d**3 - 8*d + 23*d + 8 - 367939*d**3 - 13*d**2. Give h(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 120, 1067, 2664, 4917, 7832, 11415, 15672?\n\"Answer: b**3 + 319*b**2 - 17*b - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 6:19 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 209773533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 32. Is b smaller than -2\/221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 206? (a) 2\/5 (b) -78 (c) 0 (d) -15 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 3. Let r be o(-3). Let q be (-2)\/2 - (r + -1). Suppose 3*n + 3*p + 102315 = q, 12 = -2*p + 2. What is n rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14235033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2.4, 1\/14.\nAnswer: -2, 1\/14, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-30)*(0 - (-45)\/35)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 4 + 4 + (1 + 0 + 0)*(-2*x**2 + x**2 + 2*x**2))*(2 + 1 - 6) + (-2*x**2 + 3*x**2 + 0*x**2)*(-1 + 1 + 8).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2896013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1061, 2108, 3409, 5090, 7277, 10096?\nAnswer: 13673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1524.\nAnswer: -5\/1524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 489*t**2 - 526*t**2 + 1017*t**2 - 1852*t**3 + 376*t**3 to n*t**2 + w*t + f + l*t**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s - 4. Let y(o) = -1. Let c(v) = -h(v) + 3*y(v). Is 8 a factor of c(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 1. Suppose 17 = 2*l - y. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/20412 and 47\/301.\nAnswer: 877716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8332 - -8728. Is h a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-758151)\/(-60) - 123\/(-820)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1467 - 1461. Sort b, -3, -5, 25 in descending order.\nAnswer: 25, b, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -68, 1, -90, 3 in increasing order.\nAnswer: -90, -68, -38, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1679429640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-30)*6*(-3)\/(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**(-22)\/b)\/b))**31 assuming b is positive.\nAnswer: b**775","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/(sqrt(10)*-1*6))**2 + (sqrt(1620) - (sqrt(1620) - (0 + -1*sqrt(1620)))).\nAnswer: -18*sqrt(5) + 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-4 - -3)*0. Suppose a = 5*r - 3*v - 55, 2*r + v = 6*v + 22. Suppose 0 = -16*x + r*x. Which is bigger: -1\/38 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(66) - 1*sqrt(66)))\/(sqrt(864)\/sqrt(9)) + sqrt(33)\/(sqrt(3)*-4*3)*-5.\nAnswer: 5*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/(9\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 13, 3, -1, 21 in decreasing order.\nAnswer: 21, 13, 9, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 2. Let h be d(3). Suppose -2*t - h*j + 7 = -6, 0 = 5*j - 5. Solve -y = p - 2, -t*y + 19 = -5*p - 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 3*t**2 - t - 3. Let w be d(-3). Suppose w = -3*q - 4*s - 460, 5 = -s + 2*s. Let b = q - -71. Round b to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 13 + 23 = -5*o, -3*i = -12 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10458 + 3066 = -1056*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b + 2. Let a be z(0). Suppose a*p - 15 = 7*p. Suppose 0 = -2*h - 3*u - 3 - 0, h - 2 = -5*u. Is p at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(33)*-2 + sqrt(33)) - sqrt(33))\/(5*(sqrt(3) + sqrt(48))) + (-1*sqrt(220))\/((sqrt(5) + sqrt(45))*-4).\nAnswer: 49*sqrt(11)\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 597. Let t(c) = 836. Let u(k) = -7*b(k) + 5*t(k). Let x(z) = -3*z + 2. Determine -6*u(j) + x(j).\nAnswer: -3*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(10\/(-10)*1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 33*k - 46. What is the hundreds digit of z(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, v: 1, p: 5, w: 1, x: 1, e: 2}. What is prob of picking 1 p and 1 f?\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -637465 or -637475?\nAnswer: -637465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1254 and 5700?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -95833003 < -95833004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5734 = c, 3*c + 2*c - 28664 = -3*m. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2872378572?\nAnswer: 2, 3, 7, 34194983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*r + 13248 = -205*r - 179*r - 220*r for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*m + 0)*(0 - 3 + 2) + (4*m - 4*m - 3*m)*(-1 + 3 + 0) - 3*m + 4*m - 3*m + (0 - 2 + 0)*(1 - 1 + 2*m) as u + t*m and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 13*n**2 + 943*n + 2. Let u(g) = 14*g**2 + 941*g + 3. Calculate 3*t(l) - 2*u(l).\nAnswer: 11*l**2 + 947*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12080*v + 5136 = 11973*v for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1289 is divided by 29?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -324 + 322. Which is the smallest value? (a) -0.05 (b) -3\/7 (c) y (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*u - 190. Let p be 399\/7*1\/3. Calculate the highest common factor of p and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18885\/7? (a) 1 (b) 5 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 115*g - 54600. Determine r(477).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q. Let d(b) = -b. Let l(z) = -2*d(z) - 2*s(z). Let r(a) = -3*a. Let h(c) = -5*c. Let u(f) = -3*h(f) + 6*r(f). What is u(l(n))?\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 357 + -176. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 56\/(-12) - (-1)\/(-3). Let d(k) = -4*k**2 - k + 1 + 3*k**2 - k**3 + 0*k - 4*k**2. What is the units digit of d(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 0 (c) -0.276\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 - 8*b + 8. Let n be l(6). Let p = 60 - n. Suppose -47 = 5*k - 117. Calculate the highest common divisor of p and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f*f\/(f\/((f**(2\/13)*f)\/f))))**(-37) assuming f is positive.\nAnswer: f**(74\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06406 * -3.\nAnswer: -0.19218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/1656 and 7\/12.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2162493 - -2162189.0173. Let q = 304 + r. Round q to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 900?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/1040 + (-2378487)\/(-25040).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 + 72. Let c be ((-14)\/(-4) - 2)*2. Let s(u) = u**2 + 7*u + 2. Let p be s(-6). Put n, c, p in increasing order.\nAnswer: p, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.93 - 3.07. Let f = -0.7 + -3.3. What is the closest to s in -0.1, f, 1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -278*w - 18236. Determine s(-66).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 24 + -16 + (-4 + 4 - -23).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from kmjjjmjhmmmkkkk.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 3*s**2 + 3*s + 5. Let m be h(-4). Let y be (4 - 18\/5)*30. Let x be y\/(-30) + (-12)\/(-5). Solve 0 = -x*f + m - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 193, -2, 2, -5.\nAnswer: -5, -2, -1, 2, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + (29 + -54 - -30 - 15).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2333*m**2 - 3*m**3 + 7 - 2333*m**2 in the form x + y*m + l*m**2 + h*m**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2876 + 0.3\nAnswer: 2876.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c + 4*c - 2*c)*(5*c**2 - 6*c**2 + 0*c**2)*(-254 - 32*c + 254) to the form o + h*c + y*c**4 + x*c**3 + l*c**2 and give y.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-9452)\/(-51))\/(3\/(18\/4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7860? (a) 0.9 (b) -4 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4090*z - 184505 = 15725*z + 6962*z - 1095758 for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -8) + -2 + (-7 - -8) + -24 + -6?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44707855.\nAnswer: 5, 19, 470609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q - 17*q - 7*q - 11*q + 55*q.\nAnswer: 27*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -10*w - 16. Let k(f) = -29*f - 48. Determine 11*a(j) - 4*k(j).\nAnswer: 6*j + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1468030185 to the nearest integer?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 87*s**4\/2 + s**3\/3 - s**2 - 8*s - 591. Find the second derivative of n(c) wrt c.\nAnswer: 1044*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -2.1. Let q = 18 + -22. Which is the nearest to h? (a) -1 (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j. Let r(y) = -y. Determine -k(i) - r(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000100110001001 (base 2) in base 12?\nAnswer: 65321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*x = -15. Let k = x + 5. Let i be 1\/(2\/(-16)) + k. What is i rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 32*j. Let k(a) be the second derivative of 13*a**4\/12 + 395*a + 1. Calculate k(y(i)).\nAnswer: 13312*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33709 + 33765.137. Let b = -0.137 + k. Let t = b + -55.9999946. What is t rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Let r be (5 - (-165)\/6)*a*-1. Is 31 a factor of (4 + r - 1)\/((-2)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 9*3\/9. Sort -5, b, 1 in decreasing order.\nAnswer: 1, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 r when two letters picked without replacement from zxzzrggzzrrpgxzyz.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a microgram in nanograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1131 = 30*z - 321 + 252. Calculate the remainder when 1*(155 + (-4 - -2)) is divided by z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - i - 1. Let r(m) = m**3 - m**2 + m - 2. Let c be r(0). Let a be g(c). Let l = a + 7. Solve l*s - 2*s = 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**8\/5040 + 4*n**5\/3 - 231*n**2. Let z(d) be the third derivative of k(d). Let o(m) = 2*m - 15. Give o(z(l)).\nAnswer: 8*l**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 277*y**4\/12 + 593*y**3\/6 - 6*y - 62. What is the second derivative of s(k) wrt k?\nAnswer: 554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4189242ug to nanograms.\nAnswer: 418.9242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 15*m**2 - m - 14. Let s(h) = h - 1. Let k(z) = 4*s(z) - w(z). Factor k(o).\nAnswer: -5*(o - 1)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 40 - 47 - 64)*(3*i**3 - i**3 + i**3) to n*i**3 + k*i**2 + b + g*i and give n.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t - 19. Let n be g(9). Let r = 53 + n. Suppose -4*a - 1 = -41. Calculate the greatest common factor of r and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 46*h**2. Let s(y) = -5*y. What is u(s(w))?\nAnswer: 1150*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1053.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (246\/24*(-3)\/(-2) + -15)\/(2\/(-16)). Suppose 2*a - 6 = 2*o, 2*o + 0 + 15 = 5*a. Suppose -2*x + 3 = -a. Sort -0.3, l, 2\/11, x in increasing order.\nAnswer: l, -0.3, 2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -485029186108 - 340?\nAnswer: -485029186448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -13019*r + 208356. What is x(16)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102*n**4 - 4 - 3*n**2 + 46*n**4 + 49*n**4 + 2 to the form k*n**3 + j*n + v*n**4 + h + u*n**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i**2 - 2*i - 2. Let t(z) = -21*z**2 + 11*z + 11. Let r be 128\/(-12) - 18\/54. Calculate r*y(q) - 2*t(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 23.16201t?\nAnswer: 23162.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 35 + 11 = 0. Let z(i) be the third derivative of -5*i**4\/12 + 4*i**3\/3 + 8*i**2. Let d be z(-4). Calculate the greatest common factor of d and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -225518 (base 11) in base 2?\nAnswer: -1010111100100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 11*t - 26. Let y(r) = 9*r + 24. Let f(n) = 3*q(n) + 4*y(n). Factor f(s).\nAnswer: -3*(s - 3)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.145211ml to litres.\nAnswer: 0.006145211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.82 - 1.22. Let z = h + 0.2. Let v = 11 - 15. What is the third biggest value in 5, v, z, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75573?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -c + 646, -16*c + 14*c + 1272 = -3*z. Let s = c + -592. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6*q**4 + 2*q**3 + 10*q**2 + 2*q - 16. Let i(z) = -13*z**4 + 5*z**3 + 19*z**2 + 4*z - 33. Let b(c) = -4*i(c) + 9*l(c). Suppose b(r) = 0. What is r?\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119 + -70. Suppose -10*v + 3*v + x = 0. What is the second derivative of 4 - 19*z + 3 - v - 6*z**5 wrt z?\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46 - 7*r**2 + 44 - 46 + 25 + 9 to the form k*r + l*r**2 + o and give o.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 530?\nAnswer: 1\/530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j + 3*p = 61, -4*p = 12. Calculate the remainder when 64 is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12091.1198 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*f - 525, 429 = 4*f - 8*f + u. Let d = 178 + 80. Find the common denominator of ((-8)\/f)\/(4\/d) and 57\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**3 - 5*n**2 + 6*n - 2. Let w(j) = j**3 - 2*j**2 - 3*j - 4. Calculate the remainder when w(4) is divided by o(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - 6*sqrt(21))*-6)\/(sqrt(7) + (4*sqrt(70)\/sqrt(10) - sqrt(7))).\nAnswer: 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwmlbvbmwxlbxvbl. What is prob of picking 1 v and 3 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.05? (a) 3\/2 (b) 368.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2649 - 12*g**3 - 2649.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(-1)\/(-3) - 4. Let v(l) = -l**2 - 2*l + 5. Let w be v(x). Let k(d) = -d**3 - 3*d**2 + 5*d + 4. Let c be k(-4). Which is smaller: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 6*t - 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 8. Let g = -0.07 + -29.93. Let t = g + 16. What is the nearest to t in n, 2\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 * -52\nAnswer: -2548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 11:32 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 388 - -58. Let m = s - 446.05. What is the third biggest value in 0.3, -2\/5, m, -0.04?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 8*a**2 + 16*a + 47. Let p be z(-13). Let n = p - 391. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 1 - h - 13\/2*h**2. Calculate x(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -4*b + 4*j - 6, 2*b = -4*j + 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 213019?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 - t + 1. Let s be g(1). What is the third derivative of 3*q**6 - q**s + 0*q**6 - q**2 wrt q?\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98403852 is divided by 37?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 179*z - 174*z + n - 54, 0 = -5*n - 5. Calculate the remainder when z is divided by 6 - ((-8)\/(-2))\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3506226 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*i**3 - 1245*b**2 - 355225453*b*i**3 - 259883*b*i wrt i.\nAnswer: 6*b**2*i - 2131352718*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 8)*(-2*z - 2*z + 0*z + (-2 + 0 + 0)*(-3*z + z - z) + (-1 + 5 - 3)*(3 + z - 3)).\nAnswer: 27*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 2410399.\nAnswer: 1\/2410399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -40437, -40424, -40411, -40398, -40385, -40372?\n\"Answer: 13*a - 40450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 11*n**4\/12 - n**3\/3 - 3*n**2 + 12*n. What is d(-4)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-2*(-5)\/230\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -15*z**2 - 5*z**2 + 21*z**2. Let a(n) = 7*n**2 - n. Calculate u(a(j)).\nAnswer: 49*j**4 - 14*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*r + 4*f, 2*f = -2*f - 8. Suppose 0 = 5*m - 25. Suppose -m*o = -o - 24. Solve -v + 5 = -o*v + 3*d, 3*v - d + r = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*z + 1462 - 112 = 0. Let v = 193 - 102. What is the remainder when v is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 12:00 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.326 to one decimal place.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -359.39 - 10465?\nAnswer: -10824.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37280, 149252, 335896, 597230, 933272, 1344040, 1829552?\n\"Answer: 3*w**3 + 37318*w**2 - 3*w - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 391\/(((-6)\/(-16))\/((-333)\/(-222))). Solve q*y - 1566*y = -8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10502 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1117 * 2.\nAnswer: 2234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 153 = -3*x + 4*x, -4*x + 12 = 0. Let i = l + -5. Suppose 0 = -5*t + 40 + i. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -873*d - 95840 = 2459*d - 337*d for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*n - 0*n. Suppose -w = -2*t + 243, -3*t - 5*w = -5*t + 247. What is the highest common divisor of n and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6) - (0 - 44\/12). What is the smallest value in b, -44, -4?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/21)\/1)\/((-28)\/98).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiii. What is prob of sequence ii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443448830 to the power of 1\/2, to the nearest integer?\nAnswer: 37993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -459 by 3.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -6 - ((-12 - 2) + -248 + 219).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6497 + -0.0504921.\nAnswer: -6497.0504921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**2 + 123330*u + 1267524075 = 0. What is u?\nAnswer: -20555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2643, 10585, 23825, 42363, 66199, 95333?\n\"Answer: 2649*v**2 - 5*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(1100) - (2*sqrt(1100)*-5 - sqrt(1100))) + -4))**2 + ((sqrt(1100) - (sqrt(1100) + -1 + sqrt(1100) + sqrt(1100)))*-5 + 5 + 0)**2.\nAnswer: -3840*sqrt(11) + 743664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35\/49 + 4\/14. Let p be (3641\/(-462))\/((-2)\/(-3)). Let b = -83\/7 - p. What is the fourth smallest value in b, u, 1\/4, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + p - 3 + (-11 + 64 - 105)*(2*p - 5*p + p) + (0*p + p - 2*p)*(4 - 1 - 2))*(-8*p**3 + 2*p**3 - p**3) as s*p**3 + a*p + d*p**4 + y + w*p**2 and give d.\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j**3 - 2*j**2 + 1 + 4*j**3 + 4*j - j**3 to c*j + a*j**3 + n*j**2 + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(325) - sqrt(26)\/(sqrt(14)\/sqrt(7) + sqrt(2)) - -2*(sqrt(78)\/sqrt(6)*6 - sqrt(13))*-4.\nAnswer: -61*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -25*a - 56. Let d be o(-16). Find p, given that 6*p + 2*p**3 + 4*p**2 - 4*p**3 - d + 344 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (77\/14 + -5)\/((-2)\/(-1704))?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*k + 850, -3*g - 203 = -k + 227. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*m + 3 = 0. Let h be m + -3 - 60\/(-27). Sort -0.1, h, 3.\nAnswer: -0.1, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u**3 - 43*u**2 + 9*u - 18. Let j be s(6). Solve a = -c + 4*c + 16, j = 2*c + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 730411*r**3 + 2*r + 910740.\nAnswer: 2191233*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/4 - 89*u\/4 = 0.\nAnswer: -89, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*r - 3*u, 0 = 2*r - 5*u - 1 - 22 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 5 = 3*q - 6*q - x, 43 = q + 17*x - 25*x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 1 + (-334 - -348)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88532179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1100))*2*1 - ((sqrt(1100) - (0 + sqrt(1100))) + -3 + 5))**2.\nAnswer: -80*sqrt(11) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: fc0f6 (base 16) to base 13\nAnswer: 2a1c14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200008 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 - -5) - (18 + -21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 72217 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: Expand (107*r + 2556 - 2556)*(-9*r**2 + 15*r**4 + 9*r**2).\nAnswer: 1605*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 7:28 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -5, 5 in ascending order.\nAnswer: -5, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 6)*(-45)\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.9 - 0.1. Let t = a - -2.3. Let d = 5 + -2. What is the nearest to 0 in t, -2, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 7. Determine n(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**8\/168 + l**5\/6 - 4*l**2 - 1. Let i(v) be the second derivative of q(v). What is the third derivative of i(f) wrt f?\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10290896, 1 in ascending order.\nAnswer: 1, 2, 10290896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*d**4 - 123 - 7*d**4 + 120 + 25*d**2 - d**3 wrt d?\nAnswer: -480*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - d + 6*d - 2*d + d + 0*d + 4*d - 2*d + (5*d - 2*d - d)*(-3 - 3 + 7) - 3*d - 3*d + 10*d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 28 - 12 = 2*i, 0 = 2*i. What is the lowest common multiple of m and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/9 - 15536*z**2\/9 - 1080170*z\/9 - 6286700\/3.\nAnswer: -2*(z + 35)**2*(z + 7698)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 8:23 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 118761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**5\/60 + g**4\/4 - 37*g**3\/6 + g**2. Let h be c(-10). Which is greater: h or -0.07?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 0.7. Let n = -122\/3 - -40. Let t = n - -1\/3. Which is the biggest value? (a) t (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 912*i**2 - 3696*i + 3712.\nAnswer: 4*(i - 2)**2*(i + 232)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 0.0619?\nAnswer: 0.0619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -2*c - 8, 40 = 7*j - 12*j + 5*c for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 2*y**2 - 2*y + 3. Let s be l(2). Let h = 1828 + -1848. Which is the nearest to s? (a) h (b) -4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1651, -3570, -5757, -8212, -10935, -13926, -17185?\n\"Answer: -134*d**2 - 1517*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*t = -2*z + 54*t - 161 + 169, -4*z - 12 = -5*t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((56\/4620)\/(1\/(-5))). Solve -22 = 11*w - u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -922337.256 rounded to the nearest one thousand?\nAnswer: -922000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1163465?\nAnswer: 5, 19, 37, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeevqqqqvwvrdqvq. What is prob of picking 4 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311*u + 15642 = 282*u + 226356. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a + 162. Let l be q(-31). What is the highest common factor of l and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-24)*-2*(-45)\/(-18)*-60.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/71879927?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/21*7\/(-2). Let t be 6 + -6 + (p - -1). Differentiate 17*k - 8 + 3 - t*k with respect to k.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2\/3 + 80*r - 2576\/3.\nAnswer: -4*(r - 46)*(r - 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2 - 3*w + 4*w**2 - 3*w + 4*w. Let h be z(-6). What is the first derivative of -7 - h*t - 8 + 29*t wrt t?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -17*w - 3. Let g(o) = -12*o - 2. Let t(p) = 12*g(p) - 8*s(p). Give t(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28005 is divided by 666?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1155, 1316, -5.\nAnswer: -5, 1155, 1316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 1. Calculate x(27).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00315321 rounded to four decimal places?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*f - 720 = -1240 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7 = r, 22 = 3*v + 16*r - 14*r. Suppose -5*y = j - 2454, -116 + 2072 = v*y - j. Calculate the remainder when y is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -8*t + 7*t. Let o = t + 45. Suppose 2*u = 2*x - x - o, -2*u + 4 = 0. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97 + -91. Let u be h\/((-4)\/(-10) + 6\/30). Solve 5*l - 4*s = -21, -3*l + 2*s - 3 = u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 460 = -4*j + 772, 3*j = -3*v + 912. What is the greatest common factor of 54 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -15*u**4 + 2*u - 47. Let g(l) = 14*l**4 - 2*l + 46. Let z be (-1)\/(-3) + ((-336)\/18)\/(-4). Let i(y) = z*g(y) + 4*j(y). Differentiate i(v) wrt v.\nAnswer: 40*v**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - d + 30. What is s(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*m + 13, -2*f - 22 = -5*m + 1. Let z be f\/(3*(-3)\/(-45)). Suppose z*l - 2*l - 111 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3335, -14, 4, 1.\nAnswer: -14, -3, 1, 4, 3335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, i: 2, k: 1, m: 1, y: 1}. What is prob of sequence mgyk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12208260*s**3 - 219*s**2 - 348*s + 3 wrt s?\nAnswer: -73249560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33425\/33 + 11292\/11. Let a(b) = b**3 - 6*b**2 - 4*b - 6. Suppose -3*g + 23 = 2. Let r be a(g). Is r bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 7 = 3. Suppose -30 = -n*c - 5*p, -p = -2*c - 2*c - 1. Let y = 0 + c. Let x(w) = -5*w**2 + 2*w - 1. Determine x(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -12. Let q = t - -11. Suppose q*b = -0*b + 125. What is the greatest common divisor of b and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of o**3\/3 + 2*o**2 + 150*o + 35. Is 6 a factor of w(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2966865 and 1155?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 2*h + 357 - 386, -5*f + 2*h = -43 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 659\/1 + 1 + 5. What is the common denominator of ((-1386)\/k)\/(4\/5) and 6\/40*(-1356)\/18?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9160\/(-687)*(-3)\/(-45).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 301*i - 145*i - 153*i + 181 + 1260 + 157 in the form y*i + f and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 442378 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -205131 - -214738.3. Round h to the nearest 100.\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 169, 2, 3, 5, -26, -4.\nAnswer: -26, -4, 2, 3, 5, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.39 rounded to the nearest integer?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56479*v - 1054 = -56417*v for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 44, -5 in increasing order.\nAnswer: -5, 9, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.79474 rounded to three dps?\nAnswer: 4.795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2729.237 litres to millilitres.\nAnswer: 2729237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1700*t - 16. Let l(i) = 6*i**2. What is q(l(w))?\nAnswer: 10200*w**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 407 + 82. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 15\/(-9)*1. Let o = 12 - 38\/3. Sort o, 5, x in decreasing order.\nAnswer: 5, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3358 - 1135. Let v = g - -596. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 4 + 0 + (3 + 6 - 2)*(1 + 1 - 5))*(-11*g - 17*g + 2*g) in the form m + x*g and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, -2.1, -2, -33 in decreasing order.\nAnswer: 91, -2, -2.1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15371.\nAnswer: 19, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15816211?\nAnswer: 15816211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7*v + 24. What is a(7)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7962 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 3*q**5\/20 - q**4\/6 + 9*q. Determine b so that z(b) = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 1\/135*o**6 - 2\/135*o**5 - 10*o**2 + 0 + 0*o + 0*o**3 + 0*o**4 - 1\/945*o**7. Find f such that k(f) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2450961.9ms in hours?\nAnswer: 0.68082275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -156?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/6 + (-109)\/(-2). Let z be ((-9)\/(-15) - (0 + g))*-5. Suppose -258*n = -z*n + 1156. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*u = -q + 324*u + 45, 18 = -5*q - 2*u for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -164936 by 106.\nAnswer: -1556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -30 - 23 + 12 + 23*w - 4 - 37*w - w**2. Let z be o(-5). Solve c + r = z, 4*c - 2*r - 26 = 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -378 + -8?\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 - 11*k**2 - 6*k - 11. Let g = 68 + -251. Let f = g - -177. Let z(t) = -t**3 + 6*t**2 + 3*t + 6. Give f*r(h) - 11*z(h).\nAnswer: -h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 3, 15, -3 in increasing order.\nAnswer: -3, -1, 1, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 13. Let n be g(7). Let m be ((-3)\/5)\/(n\/(-30)). Solve 5*l + 18 = m*z, -4*z - 2 = 3*l + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**2 + 6*x - 25. Is k(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 - 40. Let x(z) = -z**3 + z**2 - 1. Let c be (-1)\/(-4) - (-15)\/20. Let f(n) = 0*n**2 + 6*n**2 - c - 5 - 8*n**3. Calculate u*f(w) + 6*x(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**3 - 3*r**2 - 3*r - 4. Calculate k(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -55?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**6)**50\/(f\/f**13)**(15\/11))**(32\/5) assuming f is positive.\nAnswer: f**(-16448\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*r + 10, -r - 3 = -0*r. Suppose -s = -f - k + 4, -3*f = -5*s - 14. Which is greater: -6\/11 or f?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((3 - 7) + 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c**4\/4 + 66223515*c**3 - 706384203*c**2\/4 + 309043095*c\/2 - 44149014 = 0. Calculate c.\nAnswer: -29432676, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - s - 3022, 35*o + 4*s - 3017 = 34*o. Does 54 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 4. Does 9 divide h\/(-3) + 93\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(325) - 6*sqrt(13)*-5.\nAnswer: -3 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p. Suppose -6*x + 7 = -5. Let l(t) = -168*t**2 + 88*t**x + 88*t**2. Calculate u(l(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 13*y**2 - 12*y - 24. Let c be j(14). Suppose -3*i - 24 = -4*v, -4*i + 1 = 4*v + 5. Solve -u = -v*u + c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1894*r = -104*r - 12528 + 7751 - 13123 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -16*h + 17*h. Suppose f = h*f - 4. Sort -6, f, 3 in decreasing order.\nAnswer: f, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8864443 - 6?\nAnswer: 8864437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*(1 + sqrt(425))*-4.\nAnswer: 100 + 500*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, s: 1, l: 2, i: 1, o: 2, n: 2}. Give prob of picking 1 i, 1 s, and 1 n.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**7\/315 - r**5\/45 + r**3\/9 + 27*r**2. Suppose m(k) = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -1113*i**2 - 72*i - 18. Let s(o) = -2*o**2 + 4*o + 1. What is -a(f) - 18*s(f)?\nAnswer: 1149*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + f**2 + 2*f**3 + (2*f**3 - f**3 + 0*f**3)*(-1 + 0 + 2) - 8*f**3 - 5*f**3 - 2*f**3.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5316*s - 83220 = 828*s - 1060*s for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -900 = -18*o - 57*o, 4*v - 5*v - 2*o + 40 = o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -400 equal to -6.686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/37, -0.4, -0.3.\nAnswer: -16\/37, -0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 734635993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 14*j + 17*j - 6*j. Let m(g) = -2*g - 2. Let f(b) = -3. Let y(c) = 11. Let q(a) = 4*f(a) + y(a). Let n(w) = m(w) - 2*q(w). Calculate n(t(r)).\nAnswer: -50*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 44*b - 280 - 84 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**4\/3 - 2*f**3 + 4*f**2 + 16*f\/3 = 0.\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 31\/2 of a century?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5455, -10826, -16131, -21370, -26543, -31650, -36691?\n\"Answer: 33*a**2 - 5470*a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -345112 (base 7) to base 16.\nAnswer: -f166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 9*h**2 + 90*h - 1236. Calculate j(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/5 - 654*w**3\/5 + 1969*w**2\/5 - 1314*w\/5.\nAnswer: -w*(w - 2)*(w - 1)*(w + 657)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -26, 231, 644, 1213, 1938, 2819, 3856?\n\"Answer: 78*t**2 + 23*t - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -94 + 216. Suppose x + s = -0*x + 3*t, 360 = -3*x + 3*t. Let y = 123 + x. Solve 3*q + y*n = -18 + 4, -3*q + 2*n - 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 0*r. Let l = 3563.2 - 3563.1. Which is the nearest to 1\/3? (a) -4 (b) l (c) 3 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*x - 39*x + 292 = 0. Suppose 0 = -17*q + 19*q + 20. Let m be 0\/(-4) + q\/(-35). Which is the fourth biggest value? (a) x (b) 1\/4 (c) -4 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9244, -9238, -9234, -9232, -9232, -9234?\nAnswer: -9238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(((-22512)\/(-144))\/(-67))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*m + 4 - 12, 4*m + 12 = b. Suppose 4*a = -0*a - b, h - 2*a = 5. Let g(v) = -h + 0 - v + 10. Give g(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-11)*b**(29\/3)*b\/b**(-2\/87)*b*b**(1\/20))**(-3) assuming b is positive.\nAnswer: b**(-1287\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263064*n + 263065*n - 526119*n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/81 and -97\/2?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -568143?\nAnswer: 568141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 5. Let b(h) = -3 + h**3 - h + 2*h - 2 - 5*h**2 - 1. Determine b(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -122, 3\/7, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = 2*s + 5*w - 619, -2*w = -2. Let n = s - 131. Is 22 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m + 51*m**2 - 4*m - 50*m**2 - m + m**3 in the form w + a*m + g*m**2 + f*m**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -586 + 586 - 48*x - 7*x**2 in the form t + d*x**2 + i*x and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 7, -422, -2 in decreasing order.\nAnswer: 7, -2, -36, -422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2147 - 2214.62. What is k rounded to the nearest integer?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3899 - 1091. Is 26 a factor of (-4)\/(-22) - x\/(-44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z. Let m = 345 - 345. Let a(u) = -83*u**2 + 164*u**2 + m*u - 78*u**2 - 2*u. Determine a(j(c)).\nAnswer: 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let x = -2.3 + -1.7. Let c = x - -2. What is the nearest to c in t, -0.5, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4761*h + 114297. Give l(-24).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (18 - (-14 + 4 + 8))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 10. Let s = -10270.98 + 10271. Which is greater: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39070*s + 39071*s + 1 - 1.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, n: 2}. What is prob of sequence ono?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 451*u - 77112 = 325*u. What is the greatest common divisor of u and 1564?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11832211 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139 - ((-3645)\/1458)\/(10\/124).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -150 + 108. What is the third derivative of -279*j**h - 20 + 17*j**5 - j**2 - 14*j**5 - 90 - 3*j**5 wrt j?\nAnswer: -33480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + o + 4*z + 135, -2*o + 2*z + 90 = 0. What are the prime factors of 7644\/o - (3 - 235\/75)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d**8\/d)*d*d**15*(d**(2\/3))**(-5\/16) assuming d is positive.\nAnswer: d**(259\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-4)*p**1)\/(p**(-1\/5)*p*p*(p\/(p**(-2\/9)\/p))\/p)*p**(7\/4)*p*p*p**(-5)*(p**(-1))**(2\/9) assuming p is positive.\nAnswer: p**(-1169\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 4717000 to the nearest 100000.\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/1320 and -91\/480.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 1402.\nAnswer: -5608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29075840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 13. Let h = -0.007 - 6.093. Let x = h - n. Which is smaller: -3 or x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29822248?\nAnswer: 2, 19, 31, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*l - 2*l - 4*l + 11)*(-3 + 0 + 1 + (2 + 3 - 3)*(-4 + 0 + 2)).\nAnswer: -12*l - 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1764, 4, -10 in ascending order.\nAnswer: -1764, -10, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + -1 - 348\/(-12). Suppose 2*v + 2*v - g = 0. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(1053) - sqrt(1053) - sqrt(1053))*1 + 3 + 1 + (sqrt(325) + 0 - (2*sqrt(1573) + sqrt(13))))*3)**2*-4.\nAnswer: -342468 + 11664*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78.7 - 87. Let a = 44597416 + -44597407.6999951. Let r = v + a. Round r to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 7 + 5)*(-2*n - 3 + 3)*(-13 - 13 + 30) + (-n - 2*n + 5*n)*(0 - 8 + 20))*(n**4 - 4*n**4 + 2*n**4).\nAnswer: -48*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -27*k**4\/4 + 20541*k**3 - 828015*k**2\/4 + 8979*k\/2 + 181980 = 0.\nAnswer: -8\/9, 1, 10, 3033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r + 2*r - r + 4*r + r + 3*r + (-1 + 1 + 2)*(3 - 2*r - 3))*(4*r**2 - 2*r**2 - 3*r**2 + 3*r) to a*r + n + i*r**3 + z*r**2 and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*w = -256. Let y = -26 - w. Suppose -3 = -3*r + 3. Solve -5*d = -3*t, r*t + y = d + 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -303*d. Let z(m) = -10*m**2. Calculate z(u(i)).\nAnswer: -918090*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*l = b - 1, 0 = -3*b - l - 5. Let c(z) = -7*z. Is c(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114926*w = -116749*w - 127610 for w.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -15*l**4 + 5*l + 108. Find the first derivative of j(p) wrt p.\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 204 - 84. Is f a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 + 61962*m**2 + 433620*m - 495584.\nAnswer: 2*(m - 1)*(m + 8)*(m + 30974)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 863600.\nAnswer: 2, 5, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -16*t - 122. Let m be w(-8). Let x = 0.6 - 0.2. Let k be ((-804)\/78)\/(-2) - 5. Which is the fourth smallest value? (a) m (b) k (c) -0.3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6167*-34659.\nAnswer: 213742053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0.2. Suppose 365*w + 109 = 366*w. Let c = w - 104. Sort s, c, -2, 2\/3.\nAnswer: -2, s, 2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282923 is divided by 282915?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 154?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 + 2 + -4 - (-30 + (-23 - (-93 + 43))).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*v - 5480 = -v. Calculate the remainder when v is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-480)\/(-28))\/6)\/(-10*12\/420)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvcx when four letters picked without replacement from vmhcx.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -494*n + 640*n = -1752 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 21 = -y. Suppose y*l + 29 - 15 = 0. What is the smallest value in l, 49, -3\/8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -12*y**4\/5 + 34736*y**3 + 2027516*y**2\/5 + 5562384*y\/5 - 417168 = 0.\nAnswer: -6, 1\/3, 14485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -162 + 162. Suppose 3*c = -4*w + 708, -w + 2*c + 5 + 183 = r. What is the remainder when w is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55089962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2. Let g(k) = -2*k - 56. Determine g(q(v)).\nAnswer: 4*v**2 - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 w when three letters picked without replacement from qwwqwqqqwwqqqqqqqqq.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**5\/90 - 3*w**4\/4 + 28*w**3\/9 + 622*w**2. Factor k(d).\nAnswer: -2*(d - 1)*(d + 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 47. Let v be ((-6)\/g)\/(25\/(-15)). Let h = -27 + 57\/2. What is the biggest value in h, 0.5, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 24 = -x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4*192\/(-108)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 1 - 1)*(-2*y - y + 5*y) + 3*y - 3*y + 2 - 2*y**2 + (5*y - 5*y + 4*y**2)*(-5 - 8 + 3).\nAnswer: -44*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 2:08 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w - 29*w + 215 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*f - 96 = 8*i - 4*i + 52*f, 10*i - f = -240 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 823459.8ml to litres.\nAnswer: 823.4598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (-553)\/21 - (-1)\/(-3). Suppose -12*t + 8*t = -k. Calculate the lowest common multiple of t and (-30)\/4*2\/(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2062*q**3 - 772.\nAnswer: 6186*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 1)\/(6\/36). Let m(f) = -2 + 2*f + 10 - 3 + 15. Let q be m(t). Solve s = -s - q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2777476721?\nAnswer: 881, 3152641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/u**(-5)*u)**(-30))**23)**20 assuming u is positive.\nAnswer: u**(-110400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9582 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.035162 - -0.8694.\nAnswer: 0.834238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 2*g - 1887 - 9, 2*g = -2*l + 1888. Let k = 11489\/12 - l. What is the common denominator of k and -27\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -136, -273, -410, -547, -684, -821?\n\"Answer: -137*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6c (base 14) to base 11\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*r - 56 = 0, -73 - 19 = -4*j + r. Is 22 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1168 and 108?\nAnswer: 31536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1594.\nAnswer: 1\/797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**29*t*t**(-12\/19)*t assuming t is positive.\nAnswer: t**(577\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178272262?\nAnswer: 2, 7, 12733733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 313 - 392. Let y = -75 - g. Solve -y*v - 26 + 18 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.694 + -0.006. Let o = 58.512 + t. What is o rounded to 0 dps?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*w**3 - 2*b**2*w**2 + 57*b**2*w - 312*b**2 + b*w - 13*w**3 - w**2 - w - 48 wrt b.\nAnswer: -2*w**3 - 4*w**2 + 114*w - 624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*x**5 - 496*x**4 + 4904*x**3 + 3664*x**2 - 1748*x = 0. Calculate x.\nAnswer: -1, 0, 1\/3, 19, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16702 - 30801. Let x(q) = -788*q - 7. Let w be x(9). Let o = w - m. Round o to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -9*m + 54. Let q be (m\/3 - -2) + -1. Solve 0 = -2*k + 2*a + 6, -16 = -2*k - k - q*a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.3 + -1.3. Suppose -2*x = -7 + 1. Suppose -x*r = -r - 2. Which is the nearest to q? (a) r (b) 2\/3 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46758620*s - 52746105?\nAnswer: -46758620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6*h - 1 + 1. Let p(s) = -16*s - 160. Let l(x) = 105*x + 1056. Let y(j) = 5*l(j) + 33*p(j). What is y(k(b))?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y - 1. Let t be r(-2). Suppose 0 = 3*p - 5*z - 118, t*z - 16 = -2*p + 21. Suppose p = 5*c - 54. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 16*b**2 - 41*b - 43. Let q(c) = -22*c**2 + 42*c + 44. Let k(v) = 3*q(v) + 4*r(v). Give k(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**7\/840 + a**5\/24 + a**3\/3 + a**2. Let y(c) be the first derivative of t(c). What is the second derivative of y(h) wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5221 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 7*l + 1. Determine a(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12208 by 109.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-37)\/(j\/j**(4\/15)) assuming j is positive.\nAnswer: j**(-566\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 668\/5 + -2036\/15. Calculate the common denominator of -55\/144 and y.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 11:58 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1653 * -4\nAnswer: 6612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*r - 235 = 54 + 2711. Let d(f) = 2*f**2 - 2*f - 1. Let i = -2 - -4. Let y be d(i). Solve -4*b - y*h = -12, -3*b + r = -b + 3*h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 3*w - 6. Suppose 2*z + 4*j - w = 0, -8 = -3*z - 4*j + 7. Suppose -8 + z = n. Calculate the lowest common multiple of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 315*n**6 - n**5 + 164 + 4*n**2 - 5*n**2 + 241 + 113 - 122 wrt n.\nAnswer: 37800*n**3 - 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**6*z - 1816*f**3*z - 7454*f**2*z wrt f?\nAnswer: -240*f**3*z - 10896*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843.\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 752268 - 4?\nAnswer: 752264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68274 by 11379.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k**2 + 13*k**2 + 5887820 + 5*k**3 - 2*k**4 - 5887841 wrt k.\nAnswer: -48*k + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 28785 = -3*a, a - 21595 = -3*s - 0*a. What is s rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2238 and 324.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -220121212 (base 4) to base 6\nAnswer: -3314034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -475 - -475. Let c be -7 + (3 - (-6)\/(-3)). Let m be (-4)\/c*3\/(-55). Which is smaller: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/7)\/x**(-2\/3))\/(x**(-1\/15)\/(x**(3\/8)*x)) assuming x is positive.\nAnswer: x**(1411\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 2, w: 1, p: 2, n: 4}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/14 - 6\/21. Suppose -4*u + 68 = -2*v, -3*v - 4*u - 132 = -l*v. Let n = 46 + v. What is the greatest common factor of n and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 4*x + 4. Let w be l(3). Let h = -0.155 + 0.555. What is the smallest value in w, h, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*w*y**2 - 178264*w + 2*y**3 + 2*y**2 - 23280*y with respect to y.\nAnswer: -4*w*y + 6*y**2 + 4*y - 23280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 66 - 32. Let n = 81 + w. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/627 and ((-1656)\/1026 + (2 - -1))\/((-4)\/3).\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 324 - 320. Solve -4*z + 12 = v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3765296574 - -0.07.\nAnswer: -3765296573.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/10)\/9)\/(1158\/1930)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2497 - -2499. Solve -3*i + 4*x - 4 = -5*i, t*x = 4*i - 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (78\/4 + -4)*(0 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**5 + b**5 + b**5 + (-398*b - 7*b**2 + 398*b)*(-3*b**3 + 10*b**3 + 6*b**3).\nAnswer: -89*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23598469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) - 6*-2*sqrt(68)) + 2 + sqrt(68) + 1)**2 + 1)*-6.\nAnswer: -80028 - 1008*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 21 = -206. Let l be ((-1)\/j)\/(0 + (-7)\/(-14)). Which is greater: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 j when four letters picked without replacement from jjxxjjjjjjjjmmx?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = -4*r + 141. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 527 or 532?\nAnswer: 532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 409. Let f(d) = -1909. Let r(n) = 3*f(n) + 14*g(n). Let x(v) = -45*v - 2. Calculate -2*r(s) + x(s).\nAnswer: -45*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-66360)\/(-79))\/60)\/(-1*(-20)\/(-2))\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*s + 28*s - 55*s - 2*s**3 + 6*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19004*b**3*n**2 + 18*b**3*n + 240*n wrt n?\nAnswer: -38008*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*r = 24*r - 32*r. Let j be 2 + (0 - 1) - -6. Sort j, r, 1 in decreasing order.\nAnswer: j, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/(9\/(-54)). Solve f = -r*f - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4 = -2*l. Calculate the greatest common factor of 20 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t + 13*t - 2 = -8*t - 3*x, 52*t - 2*x + 56 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.585, -0.6, -0.1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*f - 59*f + 152*f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10 and -1557?\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -4*i + 5*n, n - 31 = i - 33 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 3. Let o be h(5). Let u be 5 + 0 + o - 0. Suppose 4 - 10 = u*x. Let t(r) = -r**3 - 2*r**2 - r. Determine t(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 2:34 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b**3 - 2*b**2 + b + 2. Determine p(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q - 21. Let s be o(-4). Are 7 and s non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x - 1 - 12*x**3 + 1 + 14*x**3 to the form d*x**2 + j*x**3 + l*x + z and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172 and 82259?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13354 - -13356. What is the second biggest value in 307, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 6*z + 5*t - 9, -z = -t. Let b be 1 + 2 + z - -13. Suppose -8*x - 274 + 1770 = 0. What is the greatest common factor of x and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/15 and -62\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddeed.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*((sqrt(27)\/(-2*sqrt(9)) - sqrt(3)) + -3).\nAnswer: 3*sqrt(3)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*y**3 + 19*y**3 + y + y.\nAnswer: -101*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b + 177 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -416689, -416699, -416723, -416767, -416837, -416939, -417079, -417263?\nAnswer: -417497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 4*v**2. Suppose 12 = 9*w + 57. Let y(g) = -g**3 + 5*g**2. Calculate w*a(b) + 4*y(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 276*w - 275. What is t(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.49947 decades in millennia?\nAnswer: 0.3349947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-10 - -10) - (-5 + 2 + (-7 - 34)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -3233 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -29*d**2. Let g(r) = -4*r. Calculate g(t(z)).\nAnswer: 116*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2455*f = 2458*f - 56, f = -2*b + 22 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 717 and ((-96)\/192)\/(2\/(-84))?\nAnswer: 5019","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65 or 11659?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/4 (b) 0.29 (c) -1 (d) 3\/5 (e) -2\/81 (f) -2 (g) -1\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, b: 2, t: 3, y: 2}. Give prob of sequence ttmm.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -30 - (1 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2)*(1 + (-38)\/(-2)). What is the second derivative of -11*m**5 + h*m**5 + 21*m - 27*m**5 wrt m?\nAnswer: -560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*d + 0*d + 5*d)*(2391 - 6227 + 3120).\nAnswer: -2148*d - 716","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**3 - 18*x**2 - 25*x + 50. Let h be u(10). Is 5\/77 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -3 (c) 3 (d) -3.3 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 70*v - 82. Let c(g) = 10*g - 12. Let t(x) = 20*c(x) - 3*y(x). Determine t(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6023.\nAnswer: 19, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**5\/300 - p**4\/40 - p**3\/15 + 2*p**2. Find y, given that x(y) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3815.\nAnswer: 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdspzdw. What is prob of sequence dz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-45))\/(93\/1395)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.612 - 0.122. Let j = h - -0.01. Which is the third smallest value? (a) j (b) 0 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124 by -738.\nAnswer: -62\/369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -14 + 7*a**2 + 25\/12*a**4 - 23*a + 0*a**3. Let h(v) be the first derivative of o(v). Differentiate h(r) wrt r.\nAnswer: 50*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-8))**(3\/28))**(-4))**(7\/5) assuming a is positive.\nAnswer: a**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1802 and 8480.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0064137 millilitres to litres.\nAnswer: 0.0000064137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 360008.9 decades in centuries?\nAnswer: 36000.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 x when three letters picked without replacement from xxxxxxxxxxexxexxex.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -17. Suppose -2*x = m - 85. Suppose 0 = -z + 5*z - 1024. Calculate the highest common divisor of z and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -253*a**4 + 5*a**3 - 17*a**2 - 178. Let r(j) = -251*j**4 + 6*j**3 - 21*j**2 - 177. Let u(q) = 6*l(q) - 5*r(q). Differentiate u(s) with respect to s.\nAnswer: -1052*s**3 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1223840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*j = f + 262, 4*f - 4*j = 264. Suppose -3*v = -4*o - f, -4*v + 2*o + 4 = -80. What is the smallest common multiple of v and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -2*n**6\/15 - n**5\/60 + n**4\/24 + n**3\/6 + 4*n**2. What is the tens digit of y(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14641888.59 seconds to weeks.\nAnswer: 24.209471875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-10) - 3933\/113850*55?\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28650167 divided by -314837.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*v - 2*q, -44*q - 8 = -3*v - 43*q. Let r(p) = p**2 + 12*p + 21. Let d(b) = -b**2 - 8*b - 14. Let g(h) = -7*d(h) - 5*r(h). Calculate g(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 97.\nAnswer: -9\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.002 - 0.01. Let w = a - -0.548. Round w to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from ppppppppppppppbpbpbp?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 at most -62461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2213310 (base 4) in base 6?\nAnswer: -121420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 70? (a) -4 (b) -2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4864 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212 divided by 1194.\nAnswer: -106\/597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000633217 rounded to six dps?\nAnswer: 0.000633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -5) + -1 + 2 + -8 + 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2227b9 + 2?\nAnswer: 2227bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5621320792 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1.2, -1\/15, -24?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32102223012 (base 4) in base 13?\nAnswer: -a12386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-23))\/(((-75)\/(-100))\/(-1*(-35)\/(-14)))?\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -5.4. Suppose w + r = 6*r + 25, 0 = 2*r + 2. Let g = w + -81\/4. What is the biggest value in d, -0.3, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 5:04 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5 + 3 - 52*a - 2 - 8 wrt a?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 394, 976, 1888, 3082, 4510, 6124?\n\"Answer: -8*c**3 + 213*c**2 - c + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o = -531 - 449. Calculate the smallest common multiple of o and 63.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 25*b - 31. Let q be i(-23). Suppose -a - 4*a = -q. Suppose 0 = a*d + 5 - 14. Solve 0 = s + 5*h - 14, d*h + 2 = 4*h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 6082468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-28)\/(-8))*-2. Let z(v) = -2 + 2*v - 4 - 1 + k. Let i be z(4). Solve 24 = 5*f - 4*m, -m = -f + i*f - 11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g + 0 + 0 + (7 - 5 + 3)*(-5*g - 7*g + 10*g)*(-3 - 2 + 4).\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*n + 10 = -556*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186 divided by -31.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 449 divide 270005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1929998 to the nearest integer?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -209, -434, -739, -1130, -1613?\nAnswer: -2194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (-62)\/(-10))\/(14 - 19881\/1420). What is the highest common divisor of h and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -7*a - 5. Suppose 33 = 5*v + a*m, 4*v - 30 = -v - 5*m. Suppose 5*c - 52 + v = 0. Solve c*w - 5*w - 4 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 8*i = -5*i + 27, 12 = -3*i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 5 (b) 4 (c) -0.3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmqr. What is prob of sequence mq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75015064*g - 75014685*g = -4927 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**2 + 1. Let j be u(1). Let h(w) = -8*w - 1. Does 8 divide h(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -799.144 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c - 3*h = -30, h = 5. Suppose -4*a + 0*a - 12 = 0, -3*y - c*a = 9. Suppose 3*n - 2675 = -y*b, -983 + 2749 = 2*n - 3*b. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 44 (b) 3 (c) -1 (d) -1\/2 (e) -3\/52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (177 + -83 - 48) + 1 + -13?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1583*n + 2160*n - 326*n.\nAnswer: 3417*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(363)*1 + sqrt(363) + sqrt(363) + sqrt(363)) + (sqrt(8)\/sqrt(4)*-6 - (sqrt(2) + -1 + 2)))*3.\nAnswer: -921*sqrt(2)\/44 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + p**2 + p**2)*(4*p + 0*p - 5*p) + (-4*p**2 + 7 - 5 + 3*p - p)*(0*p - 3*p + p).\nAnswer: 6*p**3 - 4*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -0.2636715?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7399204mg in nanograms?\nAnswer: 739920.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/k**(-15))**31\/(((k**(-7)*k*k)\/(k**(-4\/5)*k))\/(k**(-1\/8)*k\/(k*k\/((k**(-4\/3)*k)\/k)))) assuming k is positive.\nAnswer: k**(48689\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -428 + 427. Suppose 3 = 4*a - 13. Sort y, -6, 3, a in descending order.\nAnswer: a, 3, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 192869?\nAnswer: -192873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1626194687?\nAnswer: 13, 17, 1021, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -949 + 956 + (1 - (5 - 3) - 12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 953821 divided by 1.\nAnswer: 953821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 37, 108, 179, 250, 321, 392?\n\"Answer: 71*v - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115236 = -42*c + 41046. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405667 at least 1405668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 3*q + q)*(7*q**2 - 7*q**2 + 5*q**4)*(3 - 4 - 1) + 4*q**2 + q**5 - 4*q**2 + q**2.\nAnswer: 11*q**5 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 985 = 9*j + 85. Round j to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/8 - 3*g**2\/4 + 63*g\/8 - 27\/4.\nAnswer: -3*(g - 3)*(g - 1)*(g + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.050905 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 + -50. Let n(t) be the first derivative of -1\/4*t**4 + 15 - 2*t + 2*t**2 + 2\/3*t**3. Let m(z) = -3*z**3 + 7*z**2 + 13*z - 7. What is g*n(a) + 2*m(a)?\nAnswer: a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {b: 1, y: 4, q: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 less than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7198031nm in micrometers?\nAnswer: 0.0007198031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9048 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -24398, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1593*x + 71*x - 94720 = 184*x for x.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -26*s**3 - 247*s**2 - 3*s - 3. Let i(v) = 130*v**3 + 1236*v**2 + 14*v + 14. Let j(g) = 3*i(g) + 14*u(g). What is the third derivative of j(b) wrt b?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u = 19*u + 6. What is the third derivative of -6*i**6 + 4*i**3 - 3*i**3 - 4*i**2 - i**u wrt i?\nAnswer: -720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3\/3 - 20322*i**2 + 772958*i - 22036162\/3 = 0. What is i?\nAnswer: -30521, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 172 + 35. Suppose 5*b - 73 = g. Suppose 16 = 5*t - 3*t. What is the greatest common divisor of b and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13426.57047 - -13349.57. Let c = -77 - q. Round c to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -93*l + 6995181. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*h + 3 = 0, 3*q + 12 = 7*q - 5*h. Solve 2*v + 4 = q*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 68621503478 and -19.7.\nAnswer: 68621503458.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48562 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**5*k)\/(k\/k**5))\/((k**(-3)\/k)\/(k*(k**(-1\/12)\/k)\/k)) assuming k is positive.\nAnswer: k**(155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 350 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f - 78. Let b be s(-21). Calculate the remainder when ((2 - b) + 0)*9243\/(-316) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*1*(-5)\/30*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93.5 + 480.5. Let x = o + -386. What is the smallest value in -43, 1\/2, x?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 - 28*p**2 - 32*p - 4*p**2 + 2*p**3 + 14*p**2 + 26*p - 34*p**2.\nAnswer: -p**3 - 52*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2306 - -6340563?\nAnswer: 6343202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -175.9 - -196. Let c = 20 - k. Let m = 7 + -10. What is the second smallest value in m, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g - 20. Let p(h) be the second derivative of -23*h**3\/3 - 223*h**2\/2 - 26*h + 4. Let u be p(-5). Calculate x(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 21*p - 19*p. Suppose 0 = -14*o + p*o + 888. What are the prime factors of o?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 920.\nAnswer: -919.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-2\/9)\/q))\/q)**7 assuming q is positive.\nAnswer: q**(77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 120*t - 132*t - 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 466\/((-302)\/102 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 7*p - 2. Let z(o) = 2*o**2 - 4*o. Let i be z(3). Suppose j = -3*h - h + i, 0 = 4*h - 12. Determine q(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114 - 116. Let x be ((-312)\/w)\/((-2)\/((-4)\/2)). Which is smaller: x or 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x + 310. Determine s(34).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461 a factor of 17939366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r + 29. Let i(a) = 2*a - 27. Let k(h) = 4*i(h) + 3*l(h). Give k(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*h - 203*h = 5148 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5325 + 0?\nAnswer: -5325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 3*o - 3. Determine k(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(7)*-5*-4 + 5) + ((-1*sqrt(252))\/sqrt(9)*5)**2.\nAnswer: -80*sqrt(7) + 680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 74*v - 75*v. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-13)\/(-6) - (-7)\/(-84)*2. Let z(c) be the third derivative of 1\/8*c**4 + 0 - 13*c**2 + 0*c + 0*c**u. Let v(f) = 3*f. Determine v(z(n)).\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (208\/1170)\/((8\/(-10))\/(-2)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 5*a**2\/2 - 2*a + 5. Suppose 0 = -3*j - 3 + 63. What is the smallest common multiple of j and t(2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7638 and 484.\nAnswer: 8122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**5\/12 - 5*f**4\/12 + 5*f**3\/2 + 100*f**2. Factor r(o).\nAnswer: -5*(o - 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -653.00000363 - -653. Round m to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (-10 - -53) - 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvxs when four letters picked without replacement from {x: 1, o: 1, v: 1, h: 1, s: 2, d: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117735980?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 46*u**2 - 26*u**2 + 8.\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 plus 0.455202?\nAnswer: 0.385202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30\/103 + 476\/927. Let z = 0 - -0.01. Which is the fourth biggest value? (a) p (b) 0 (c) -3 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 57\/(-6))*16. What is the greatest common factor of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163.25 times -86?\nAnswer: -14039.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2382 and 1.\nAnswer: -2381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/7)\/u**(-2)*(u*u\/(u\/u**(-3)))\/u**(-4) assuming u is positive.\nAnswer: u**(29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.777536 rounded to 1 dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 16.995. Let u = 21.995 - a. Let n = u + -19. What is the biggest value in n, -2\/5, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q. Let m(y) = -y**2 + 8*y - 14. Let w be m(4). Let k(h) = -13*h + w - 3*h - 3*h. Give k(z(f)).\nAnswer: -38*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 i when four letters picked without replacement from {i: 6, t: 4}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30681 = -415*y + 19949 for y.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfffuuwfqffa. What is prob of sequence qwf?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 2*x - x)*(-19*x**4 + 524*x - 524*x).\nAnswer: -38*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 2452?\nAnswer: 68656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 467063352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18, -0.9, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + k - k**5 + (k**3 + k**5 - k**3)*(9 - 3 - 2).\nAnswer: 3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -1.2. Suppose 0 = -6*u + 16 - 4. Suppose -4*q + u = -2*q. Which is the nearest to q? (a) z (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1d8c2 (base 14) to base 13\nAnswer: 2868a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 69939608, 69939607, 69939606?\n\"Answer: -z + 69939609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 2*q = -7, 3*m + 22*q + 35 = 17*q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d**3 - d**2 - 2*d + 1. Let r be w(1). Let q(x) = -2*x**2 + 14*x - 16. Let s be q(r). Solve 0 = -a + s*a + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 3 - 3)*(2 - 4 + 0) - 3*w - 3 + 3 + (2 + 1 - 2)*(2*w + 2*w - 5*w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + 72*l - 2. What is k(36)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - sqrt(132)*-2*-4)\/sqrt(12) + -1 + 4*sqrt(275)*-1*-2)**2.\nAnswer: -66*sqrt(11) + 11980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000477 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, x: 1, b: 1, r: 2}. What is prob of sequence rbxr?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1202 = -2*c + p - 1233, c = 2*p - 68 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -4*n + 80, -194*b - 2*n = -197*b - 40 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 9*t**2 - 7*t - 21. Let x be z(10). Suppose 10 = 5*p - 5*d, -2*d + 12 = 2*p - 0*p. Solve -p*s + 3*s = -4*m - 23, 3*s = x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -26*x**2 + 734*x + 159. Calculate u(25).\nAnswer: 2259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -4, -76 in decreasing order.\nAnswer: 0, -4, -6, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 7:36 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 25*s + 140. Let t(o) = -o**2 - 8*o - 4. Let u be t(-8). What is the least common multiple of h(-7) and (0 - u)\/(6\/24)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2007 divide 1109253297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5271510 by 995.\nAnswer: 5298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 62, 255, 576, 1025, 1602, 2307?\n\"Answer: 64*l**2 + l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*d = -229, 598 = 4*n - 2*d - 290. List the prime factors of n + ((-6)\/(-1) - 4).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*z**2)*(2*z**3 - 3 + 3) + 31017 - 31017 - 12*z**3 - 9*z**5.\nAnswer: -3*z**5 - 12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 27*i**2 - 29*i - 26. Let r be d(-28). Suppose -a + 4*u = r*u - 2, -3*a = -4*u - 16. Calculate the lowest common multiple of 96 and a.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 11*j**2 - 55*j + 57. Determine q(-15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a hour in minutes?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + -7 + (18 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16214*k**3 - 289*k**2 + 21840594 with respect to k.\nAnswer: 48642*k**2 - 578*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 21 = -3. Let g be -3*(3 + 47\/(-15)). Which is the third biggest value? (a) o (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 - 98*o - 1075. Let p(r) = -3*r**2 + 98*r + 1078. Let b(t) = -3*g(t) - 4*p(t). Find the first derivative of b(u) wrt u.\nAnswer: 6*u - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.3, 5, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 183848 and 92393.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 7*s + 6. Let x be j(4). Let p be (-762)\/(-36) + 1\/x. Let n = -8 + p. Calculate the least common multiple of 9 and n.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/5, 3, 1\/2717 in descending order.\nAnswer: 3, 2\/5, 1\/2717, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 7*f - 5. Let c be t(-6). What are the prime factors of 2\/(-3 + c)*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*sqrt(20) + sqrt(5))**2 + ((sqrt(180)*-1 + sqrt(180))*2)**2.\nAnswer: 6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28122 and 69978.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16*1\/(-8))\/((-144)\/(-2520)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**3 + 12*z - 16 = 0?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4 - (-166)\/168 - (-3)\/(-18) and -80\/63?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -16.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -6\/37 (b) 1\/9 (c) 4 (d) -7\/4 (e) -19 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*b - 27, b + 26 - 11 = -5*a. List the prime factors of (3*(-44)\/(-48))\/(b\/20).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-6*(sqrt(88)\/sqrt(2))**2 + sqrt(264)\/sqrt(6) + -2)*-2.\nAnswer: -20*sqrt(11) + 2660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49? (a) -672\/25 (b) 0.5 (c) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132645, 132644, 132645, 132648, 132653, 132660?\nAnswer: 132669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2827 and 2827 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c + 4. Determine y(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34578.977029 rounded to the nearest 1000?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/482652 and 5\/82404.\nAnswer: 3378564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.12 - -1.12. What is the third smallest value in o, -0.5, -3\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*d - 1160 - 1952 = 578 + 900 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73869300 and 545.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3108662992 a multiple of 380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -180.372 - -100.79. Round x to the nearest integer.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43415730 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*3\/(-954)*-3. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2553295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34.7 + 34.74. Let b = -1 - -0.7. Sort o, b, 0.1.\nAnswer: b, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 plus -32950892?\nAnswer: -32950890.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 276545844 a multiple of 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3532860*b + 3532248*b = 37332 for b.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 99. Calculate the highest common divisor of 15 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34875 and 24517125?\nAnswer: 24517125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42627676, 42627690, 42627704, 42627718, 42627732, 42627746?\nAnswer: 42627760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.1 - -0.039286261.\nAnswer: -4.060713739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -501 + 501. Solve r*x = 5*x - 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n - 6 - 3*n**3 - 4*n**2 + 13 - 4*n - 19. Is j(-5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-4*sqrt(18))**2 + sqrt(12)\/(sqrt(18)\/sqrt(3))) - ((sqrt(12)\/sqrt(6)*-5)**2 - (sqrt(288) - (sqrt(288) + 1))).\nAnswer: 4*sqrt(2) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -6. Suppose 14*h - 10*h = 4*a - 8, 0 = -a + 5*h + 2. Suppose -f = -a*f + r. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1942\/8 - 1*(-2)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.1 (b) -6 (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/48 and -87\/7672.\nAnswer: 46032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 895*b - 399. Is m(7) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/(((-55)\/120)\/(-11)). Let d be (-70)\/21*6*9\/x. What is the second derivative of -16*m**5 + 0*m**5 - d*m + 10*m - 2*m**5 wrt m?\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in minutes?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*v = 3 + 1, -3*g - 5*v - 5 = 0. Suppose g = 5*u + i - 6, 2*u + 5*i = u + 6. Let o(q) = -7*q**3 + 2*q**2 - 3*q**2 + q + 0*q**2. Calculate o(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfgmrre. Give prob of sequence mfg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 2, 36, 100, 200, 342?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8726576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -61.\nAnswer: -22\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2210 - 221100212?\nAnswer: -221021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.57 - -3.43. What is the biggest value in w, 1469, -1?\nAnswer: 1469","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5765 - 5640. Calculate the remainder when z is divided by 96.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11434 + -11431. Calculate the remainder when 1*9 - (0 - -1) is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0352090767 rounded to four decimal places?\nAnswer: 0.0352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/36 + (-2)\/(-8)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {t: 2, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28afa + -4?\nAnswer: -28afe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*t - 396*t + 1 + 198*t - 1.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = -0*d - 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 954, 1516, 2086, 2670, 3274?\n\"Answer: d**3 - 2*d**2 + 561*d + 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 33, 50, 77, 114, 161, 218, 285?\n\"Answer: 5*h**2 + 2*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -578, -1, 1522, 0.3.\nAnswer: -578, -1, 0.02, 0.3, 1522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197392, -197393, -197394, -197395, -197396?\nAnswer: -197397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 345356804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/50422 and -89\/100844?\nAnswer: 100844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 118*p**2 - 3*p - 3. Let g be z(-2). Suppose 3*t + 109 = 4*s, -25 = -5*s + 3*t + 109. What is the greatest common factor of s and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (0 - (-3 + -1)). Which is greater: g or 6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 4*w + 11, -11*w + 6*w = 2*x + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3703041.\nAnswer: 3, 411449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(4400)*-2)*6)**2.\nAnswer: -2880*sqrt(11) + 633636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*((-12)\/(-5))\/(408\/(-4590))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21933 + -46938. Let b = y - -25004.7700048. Let m = 0.23 + b. Round m to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2874600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 8*y + 26 = 0. Let c = 18 + y. Let u = c - 5. What is the highest common factor of u and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16451*j*n + 4*j - 63 with respect to n.\nAnswer: 16451*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/11)*g\/(g\/g**(-6\/5))*((g**(-4)\/g)\/g)\/(g\/(g**(4\/7)\/g*g)*g))\/(g**9\/((g\/(g**6\/g))\/g*g*g*g))**(-2\/7) assuming g is positive.\nAnswer: g**(-2042\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 209798 equal to 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*k + k + 40, y + 3*k - 3 = 0. Let g(t) = t + 10. Let h be g(y). What is the first derivative of 7 - 3 - h - 5*m**2 + m**2 wrt m?\nAnswer: -8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68424 = 29*x - 330026 - 84806. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (-13 + (-6 - 16 - -44)) - -16\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 1370*k**3 + 37605*k**2 - 106695*k - 55350 = 0?\nAnswer: -30, -123\/274, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3862, -3788, -3716, -3646?\nAnswer: -3578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 77256857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 88860950222.\nAnswer: 88860950221.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3273100 to the nearest ten thousand.\nAnswer: -3270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**5\/9 + 14*q**4\/9 + 8*q**3\/3 - 136*q**2\/9 - 224*q\/9 = 0.\nAnswer: -2, 0, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*(5*x**4 - 21*x**2 + 21*x**2 + (2*x**3 - 2*x**3 - 3*x**3)*(2*x + 2*x - 2*x) - x**4 - 2*x**4 - 2*x**4).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -9570*m + 3 - 3 + 9933*m in the form i*m + b and give i.\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 14*i**2 - 1211*i. Let o(j) = -j**2. Determine n(o(p)).\nAnswer: 14*p**4 + 1211*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(0 + sqrt(200)) - (sqrt(200) + 1)*-5)**2 - (5 + (sqrt(200) - (sqrt(200)*-2 + 5))**2))*3.\nAnswer: 3300*sqrt(2) + 32985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59838098 is divided by 447.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95412 + -60782. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 10 = -2*q. Let y be (-2 + q)\/2 - -36. Let a = y - 3. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2478884353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 10:43 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -101011111010 (base 3) in base 12?\nAnswer: -97970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v**3 + 65*v**2 - 130*v - 80 = 0. What is v?\nAnswer: -8, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -616 = -1514*w + 1206*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u - 24. Let p = -82 - -161. Suppose p*t - 210 = 49*t. What is k(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = -4*n - 4*x, n + 83*x + 35 = 78*x for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 211\/462000 and -139\/2352000?\nAnswer: 25872000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-18) - (-128)\/(-396). Let u = -35\/44 - o. Let j be 2*2 + 27\/(-6). Which is greater: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12, -27, -42, -57, -72?\n\"Answer: -15*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28441244 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: Simplify ((v**(-1)\/v)\/v**7)**(1\/50) assuming v is positive.\nAnswer: v**(-9\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0038969935 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 11*k - 107 = 2 + 71 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {x: 8, c: 8, f: 1}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 99*s**3 + 69*s**2 + 20828.\nAnswer: 297*s**2 + 138*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 8*w - 4. Solve -v + 3 = t, -2*t = -w*v - 2*v + 18 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/3268 and -109\/1106?\nAnswer: 1807204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -77425, -76048, -74671?\n\"Answer: 1377*d - 78802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*sqrt(27))\/sqrt(9) - sqrt(3) - (-1*sqrt(12))\/sqrt(4))**2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -32. Suppose -x*t - 4*t = -144. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 13. Let z be (3 - q) + 1 + 1. Solve -z = -5*h + 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1074*d**2. Let k(s) = 7552*s**2. Determine k(b(o)).\nAnswer: 8711050752*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) -13 (c) -65.95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010799 to 4 decimal places.\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtd when three letters picked without replacement from dddt.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2929176 + 5?\nAnswer: 2929181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3 - 5. Let a = 34 - 34. What is the tens digit of (-64)\/n + a + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*k - 2*w - 5, -3*w - 27 = -3*k. Let b = 36 + k. Calculate the highest common divisor of 30 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**3\/5 - 391434*c**2\/5 - 12767598459*c\/5 + 51076656972\/5 = 0. What is c?\nAnswer: -65241, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 666450619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 - 25*x + 11. Calculate q(9).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11298 divided by 667.\nAnswer: -11298\/667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from voncctqoqqqccqc. Give prob of sequence qotc.\nAnswer: 5\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 119.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67112 + 18661 = 3040*n + 49196 - 157983 for n.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 12\/5 (c) -0.1 (d) 7570 (e) -4 (f) 0.4 (g) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 4*k**2 + k - 3. Let y be i(4). Which is smaller: 1\/20 or y?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**2 - r + 4. Let k(y) = -y**2 - y + 1. Let x = -2 + -4. Let p be 4\/(-3)*-3*2. Let n = p + x. Determine n*k(l) - c(l).\nAnswer: l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57660 and 160?\nAnswer: 461280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4523835353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*r**6 - 280256*r**3 - 59*r**2 - 123474*r - 1?\nAnswer: 2520*r**3 - 1681536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 34*k**2 + 111*k - 3. Let c be s(37). Let z(g) = -3*g**3 - 6*g**2 + g + 16. Let m be z(c). Calculate the greatest common factor of m and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1340 and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/(j*j**12\/j))*j**(-5\/4))\/(j**(2\/7)*j*(j\/j**(-3\/4))\/j*j) assuming j is positive.\nAnswer: j**(61\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -0.0272 (c) -2\/11 (d) 3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + -4 + 2 - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2a0 (base 11) to base 7\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14889 - -14889. Solve r = 6*s + 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1775, 3591, 5413, 7241, 9075, 10915, 12761?\n\"Answer: 3*v**2 + 1807*v - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 317823 a multiple of 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2828.73 to the nearest ten.\nAnswer: 2830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 50527*g**2 + 1 + 3 - 37361*g**2.\nAnswer: -87888*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -148405 - -148658.766. Let g = 254 - l. What is g rounded to two dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 10.916. Round z to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 31 = -k + 3*g, g - 18 = -4*k. Suppose k*j - 7 + 2 = 5*w, j - 9 = -w. Solve -3*o = -w - 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhrrhrrrrhrrhhhr. Give prob of sequence rrr.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7735.1 + 7735. Which is the third biggest value? (a) 2\/5 (b) -201 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 159b9?\nAnswer: -15a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449746 is divided by 149866.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20709, 20828, 20941, 21048, 21149?\nAnswer: 21244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (20 - (-37 + 41))) + 115 + -1?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 998695, 998704, 998711, 998716, 998719, 998720?\nAnswer: 998719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*y + 33*y = 120. Let q = -73 - y. What are the prime factors of q?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 + -5. Let y be (o\/(-8) - 6) + 0 + 0. Solve -5*k = -2*r + 13, r + r + k = -y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43 - 47*j - 8 + j**2 + 31*j + 29.\nAnswer: (j - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/55*((-10)\/(-68))\/1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**2\/3 + 14624*l\/3 - 13366336\/3 = 0.\nAnswer: 1828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55 + 27 + 23 - 19*f**2 to y*f**2 + h + i*f and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18354)\/(-1288))\/((-36)\/48)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/4 + 3*d**3\/2 + 5*d**2\/4 - 3*d.\nAnswer: d*(d - 1)*(d + 3)*(d + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v**2 + 2*v**3 + 4*v**2)*(2643 - 58515 + 174377 + 133006 - 26673 + 73500) to h*v**3 + f*v**2 + z + j*v and give h.\nAnswer: 596676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l + 45. Determine a(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121467 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 18*q + 4*q to the form a + y*q and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/9*55\/(-47025)*-27.\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/38097840 and -37\/2640.\nAnswer: 38097840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 + 65. Calculate the greatest common divisor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + (sqrt(2057) + 1)**2 - (sqrt(2057) + sqrt(2057) + -1 + -3 + (-2*(-1*sqrt(2057) - sqrt(2057)))**2).\nAnswer: -30846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 966786?\nAnswer: 2, 3, 269, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - 49853156?\nAnswer: -49853168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 p, and 1 u when three letters picked without replacement from upppmppuu.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.72920541 rounded to one decimal place?\nAnswer: -63.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -6260 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t = 22842 - 203577. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38004520 rounded to the nearest 1000000?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**5\/20 + 17*z**4\/12 - 29*z**3\/2 - 52*z**2 + 2*z. Differentiate o(l) with respect to l.\nAnswer: 6*l + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, -138, 1\/35, 16?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/11 - 10*a**2\/11 + 4*a\/11 + 16\/11.\nAnswer: 2*(a - 4)*(a - 2)*(a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 983.4035mg?\nAnswer: 0.0009834035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -177*k - 108. Let l be q(-7). What is the greatest common divisor of 39 and l?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-2)\/156 + (-496290)\/12116?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5460101039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 25, 0.2, -1.2, -0.4 in decreasing order.\nAnswer: 25, 0.5, 0.2, -0.4, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1449)\/28*18\/(-69).\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2736 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1887?\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/((r**(1\/2)*r)\/r)*r**(-4)*r assuming r is positive.\nAnswer: r**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32828 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 3. Let o = 0.038 + 60.362. Let j = 60.5 - o. Which is the closest to j? (a) 4 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/15*(0 - -10). Is 4\/2 - (r + -27) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, -2, -25, -7, 2, 4, 169.\nAnswer: -109, -25, -7, -2, 2, 4, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 17*c + 115. Let r be o(-6). Suppose 3*i = -5*n - r, 2*n + 4*i + 4 = -2*n. Put n, 5, -3, 1 in ascending order.\nAnswer: n, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 148\/3, 3, -4 in decreasing order.\nAnswer: 148\/3, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, 3\/13, 4567?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-6)*3*(-2)\/(-11). What is the nearest to 1 in 0.4, u, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 706979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -13*j - 3*o + 60, 78 = j - 3*o. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**4*k**3 - 2366*f**4*k - 4*f*k**3 - 791*f*k**2 wrt f.\nAnswer: -12*f**2*k**3 - 28392*f**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 118, 1\/5, 0.4.\nAnswer: -0.3, 1\/5, 0.4, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 2\/22019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 5*n + 2. Let s be z(3). Suppose -5*b = -5*i - 0*i + 20, s*i = 4*b + 19. Suppose -i + 0 = -3*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4 + 640*o**3 + 16*o**2 - 2560*o.\nAnswer: -4*o*(o - 160)*(o - 2)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -174 - -198. Calculate the highest common divisor of m and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*x = 2*x + 7, -3*x + 11 = -4*m. Suppose 4*f - 2*c = -116, -f - 47 = -c - 4*c. Let z = m - f. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 6 - 5)*(i - 10*i + 26*i).\nAnswer: -136*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 12*c**2 - 13*c - 3. Let l be y(13). Find the common denominator of 218\/156 - l*(7 - 8) and -57\/7.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**5 + 529*x**3 - 10607*x**4 + 5305*x**4 + 5301*x**4 + (-2*x + 4*x - 3*x)*(x**4 - 4*x**4 + x**4).\nAnswer: -x**5 - x**4 + 529*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1320.01721 rounded to one dp?\nAnswer: -1320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -37\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3637, -29117, -98275, -232951, -454985, -786217, -1248487, -1863635?\nAnswer: -2653501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-133 + 91 + 70)*(-3*z**2 + 3*z - 3*z) as h*z**2 + y + l*z and give h.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -14*x**3 + 10*x**2 - 8*x - 4. Let v(f) = 5*f**3 - 3*f**2 + 3*f + 1. Suppose -1295 = -12*l - 1259. Give l*z(a) + 8*v(a).\nAnswer: -2*a**3 + 6*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -860.6773451 rounded to two decimal places?\nAnswer: -860.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*4\/(-16))\/(-3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 371827*m*p**3 + 33*m*p**2 + 19*m*p + m - 2713*p - 9 wrt p.\nAnswer: 2230962*m*p + 66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 12*o - 12. Let n be 36\/(-2)*(56\/(-3))\/o. Calculate the greatest common factor of 21 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119926969.\nAnswer: 53, 809, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqzzxcocc. What is prob of picking 1 o and 2 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -128 - ((-10)\/(-45) + (-80)\/(-45)). Let y be ((-58)\/(-10) - 6) + (-66)\/g. Find s, given that -6\/13*s**2 - 8\/13*s**3 + 18\/13*s - y = 0.\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*n**3*u**2 - 30*n**3 - 42*u**2 with respect to n.\nAnswer: -12*n**2*u**2 - 90*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, -0.0095, -245?\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82453185.\nAnswer: 3, 5, 1832293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4095463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010100010011100 - -10?\nAnswer: 11010100010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -2*n - 28, 0 = 10*n - h + 10797 - 10761 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49622*w**2 + 198522*w**2 - 49645*w**2 - 49648*w**2 - 49615*w**2.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 - 8*c - 5. Let p be d(6). Let g(k) = k**3 + 10*k**2 + 16*k. Let r be g(-7). Let u = p - r. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1366*n**4*y + 1719*n**3*y + 2*n**2*y - 14*n**2 + n*y + 3*n - 2*y - 1868 wrt n?\nAnswer: 32784*n*y + 10314*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 446 = -3*w + 4*u, 0 = -2*u - 4. List the prime factors of w.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 39c90 - -3?\nAnswer: 39c93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-143984)\/(-180) - 0. Let h = 801 - m. Is 1 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4127 = 11874. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v + 9 + 9*v - 9.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1740107147.\nAnswer: 647, 2689501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/12)\/(11\/4). What is the second biggest value in -0.2, i, 7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*14\/26 - -2. Let q = 3453\/1391 - m. Let a = q + -148\/1177. Which is bigger: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175085, -174918, -174751, -174584, -174417, -174250?\nAnswer: -174083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 948 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5 - 4*i**2 + 0 - 1. Suppose -134 = -3*o + 112. Let r = -77 + o. Let m(t) = 3*t**2 + 5. Give r*g(p) + 6*m(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -2 + -3 + 9. Let m = -546 + 599. Suppose -6*b + 263 = m. Calculate the highest common divisor of o and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30.66 - -23.9. Let d = -2.76 + 3. Let z = d - v. What is the third biggest value in z, 0.3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/((-961)\/31)*12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7)**(2\/11) assuming w is positive.\nAnswer: w**(14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -15, 0.2 in increasing order.\nAnswer: -15, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from kkzkzzzzzkkkk?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10877303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -26.\nAnswer: -7\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29165138*i - 132067114 wrt i.\nAnswer: -29165138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 2*t - 1382 = -13*h, -h = -2*t - 328. What is the remainder when 721 is divided by h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3913 by -559.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = -3*z + v, -z + 140 = z + 2*v. Let f = 84 - 65. What is the remainder when z is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54496 to the power of 1\/2, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 299813457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/4*(-1)\/(-3). Sort -3, -3\/4, i, -0.09.\nAnswer: -3, -3\/4, -0.09, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84 + 38 - 2*c - 38 - 12 to l + z*c and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001777371 to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-4)\/(-10))\/(13\/130).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 4667508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-29)\/(-58))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umly when four letters picked without replacement from tuthylhml.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1014 + 1068. What is the smallest common multiple of 126 and y?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckcd when four letters picked without replacement from {c: 2, k: 1, r: 1, d: 2, t: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/140)\/(27\/(-36)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 26*f**4 - 116926*f**3 + 131525988*f**2 - 151623104*f + 20214016 = 0.\nAnswer: 2\/13, 1, 2248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**2 - t**2 + 3*t**2)*(-7*t + 16*t - 29*t + 2).\nAnswer: 60*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) -2\/15 (c) -4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -84617 and -0.61.\nAnswer: 51616.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12441 (base 6) to base 10\nAnswer: -1897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = z - 3*z - 8, 5*m - 3*z = 9. Suppose 270 = 3*n - 5*u, m*u = n - 3*n + 161. Let y = 1025 - 991. What is the greatest common factor of n and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/((-3795)\/46)*107\/4066?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2*x - 4*k + 211 = 0, 3*x = -5*k + 137. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451225264?\nAnswer: 2, 7, 73, 229, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/4 of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 8325\/7, -1\/73?\nAnswer: 8325\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 27*y**2 + 89837*y - 2336435. Calculate c(26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.426173*0.053.\nAnswer: -0.022587169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 12\/4)*(-55 + 60)\/(-15) - 73.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -47, 1\/6, -10, -4, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -10 - (-6 + 24 + -18).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -443653, -443716, -443885, -444214, -444757, -445568, -446701, -448210?\n\"Answer: -9*u**3 + u**2 - 3*u - 443642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/15)*d**(3\/7))\/(d**(-1\/3)\/(d*d**(-4)))*(d**(-1\/3)\/d)\/d*d**0*d\/((d*d\/d**3)\/d)*d**(-2)*d assuming d is positive.\nAnswer: d**(-277\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 330.45l in millilitres?\nAnswer: 330450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10, l: 5, r: 4}. What is prob of sequence rlr?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4761139?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 + 407\/7. Let h = -64 + 66. Let x be (1*-2 + h\/4)\/(-1). Which is the nearest to -1? (a) g (b) x (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 2*n - n**3 - 5*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 472867605?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 94\/(-8) + 1\/(-4). Let p(t) = 6*t + 33. Let u be p(-6). What is the units digit of u\/4 + (-141)\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -20. Which is the smallest value? (a) i (b) 0.1 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62553589 is divided by 50?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 643?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 4)*(-4)\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*2*6)\/sqrt(11))**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -1408*o**3 + 498*o**2 + 8*o + 8. Let a(s) = 469*s**3 - 166*s**2 - 3*s - 3. Let z(t) = -8*a(t) - 3*m(t). What is the third derivative of z(w) wrt w?\nAnswer: 2832","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -7*o**4\/4 + o**2\/2 + 5. What is the second derivative of z(i) wrt i?\nAnswer: -42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 1 - (-3 - 1). Suppose -3*h - 5*p + 26 = 0, -6*h = -h + q*p - 26. Solve -h*m + 9*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 60 = 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*d + 3 + 7 + 1 - 14.\nAnswer: -280*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/2)\/z)**(2\/43)\/(z**(9\/2)*z**(-3\/4)*z))\/((z**5\/z)**(-42))**39 assuming z is positive.\nAnswer: z**(1126115\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 - 2c956?\nAnswer: -2c943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10103 divided by -145?\nAnswer: 10103\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*b - 8*b - 20*b - 4*b + 44*b.\nAnswer: 54*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*j + 6, -4*j = 6*y - 2*y - 28. Solve 0*q = -y*n + 4*q + 9, 4*n = 5*q + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14112301420 - 1?\nAnswer: -14112301421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*b - 15. Put b, 5, -7 in decreasing order.\nAnswer: 5, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*k - 23 = 0, -7*d + 3*d - 5*k + 8 = 0. Let j = d + -1. Let b(g) = -4*g - 6. What is the smallest common multiple of 5 and b(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 148 = -4. Let c be g\/(-6)*3\/6. Solve 4*i + 16 + c = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*r)*(-4 + 1 + 4 + 0 - 4 + 6 - 3 + 3 - 1 - 1 + 5 - 2 + (2 + 0 - 1)*(3 - 4 + 0) - 2 + 3 + 1 + 1 + 0 - 3 - 1 - 4 + 4 - 1 + 2 + 3).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 5*a - 4. Let u be t(-3). Let w(v) = -2*v - 8. Let f be w(-6). Solve u = -f*c - 4*p, -4*c - p - 4 = -5*p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**5\/30 - a**4\/24 + 2*a**3\/3 - 42*a**2 + 3*a - 2. Let q(n) = -8*n**2 - 5*n + 15. Determine 9*l(t) - 2*q(t).\nAnswer: -2*t**2 + t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/9)*h)\/h**2*h**(-3\/4)*(h\/(h*(h*h**(3\/2))\/h*h))\/h assuming h is positive.\nAnswer: h**(-185\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3310, 5, 0.4, -6, 1, 2 in descending order.\nAnswer: 3310, 5, 2, 1, 0.4, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**3*f + 6447*b*f - 7899*f with respect to b.\nAnswer: -3*b**2*f + 6447*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 1.9. Suppose 0 = -11*u + 16*u - 175. Suppose u*k - 34*k = -2. What is the nearest to d in 1\/4, 7, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 12. Suppose -2*p - 2*p + 5*g = -399, 3*g - 545 = -q*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.32 + -0.38. Let p = v - -1.14. Let r = p + -0.440049. Round r to 6 decimal places.\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 4:00 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 - 5.06. Suppose 17 = 5*t + 22. What is the second smallest value in 5, s, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 8 + -22 + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -233846, 5, -1, -3.\nAnswer: -233846, -3, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-3) + -1 - 157472\/228. Let g = w + 812. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.9 + 1.9. Let t = 12.9 - 12. Let d = t + 0.1. Is d less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(297)\/sqrt(11)*2*-5 - (2 + (sqrt(300) - (sqrt(300) + -1 + sqrt(300) + 3 + sqrt(300))**2)).\nAnswer: 80*sqrt(3) + 2702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 24\/(-6) + 1. Let b(t) = t**3 + 5*t**2 + t + 9. Give b(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -50.1. Let v = j + 6.9. Let t = v - 9.4. Is 1\/4 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/182518308 and 67\/243357744.\nAnswer: 730073232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -27\/190, -2\/13, -2, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 + q + 14. Let v be x(6). Let o(d) = 2*d**2 + 5*d + 4. Let t be o(-4). Calculate the greatest common factor of v and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 121762419.\nAnswer: -48704967.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -7. Let x be (-3)\/6*(-58)\/(-8). Let m = x - -303\/88. Which is the second smallest value? (a) -0.5 (b) u (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1696*c + 16 - 29 + 13 - 598*c to x + y*c and give y.\nAnswer: -2294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 + -8.5. Let g = v + 8. Let w = 0.02 - 0.02. Which is the smallest value? (a) g (b) w (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -5*o + 20. Suppose 5*t - 10 = o. Suppose -2*l - 2*g + t = 0, -2*l + g - 7 = -4. Solve -2 = -d - l*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d5 - -12?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 705 is divided by 672.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6292 is divided by 1001.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 20, 3*c - 2*c = 3*j + 17. Suppose c*b = -4*r + 2*r + 18, -5*b + 3*r + 21 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1699, -1716, -1733?\nAnswer: -1750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 32 = -2*o, 0*o + 2*o - 56 = 2*b. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**1*v)\/v)**(-18))**(-13\/3) assuming v is positive.\nAnswer: v**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2 - 86) + 6 + -1 - (-286 - -296)\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000385 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 5. Let t(m) be the first derivative of -m**3\/3 + 3*m**2 - 6*m - 2. Let j be t(5). Let u(o) = 1. Let g = 3434 + -3438. Give g*u(h) + j*q(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116.776 + -0.224. Let c = 126 + g. Let j = 0.13 - 0.03. Put j, c, 1 in decreasing order.\nAnswer: c, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, w: 9, g: 1, h: 6}. Give prob of sequence whw.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -6. Suppose 0 = r*u - 40 - 48. Differentiate 23*j - 9 - u*j + 21*j + 18*j**2 with respect to j.\nAnswer: 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24*n**3 - 34*n + 13*n + 25*n + 5 + 0*n**3 wrt n.\nAnswer: 72*n**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3246 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 143 - 86. Suppose -u - c = 2*u. Let x(k) = k**2 + 20*k + 21. Let p be x(u). Let b(h) = h - 1. Calculate b(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w. Let t(l) = -4*l**2 - 24*l**2 + 2 - l**2. Calculate a(t(n)).\nAnswer: 58*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 7:35 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 2. Suppose -5*f + 63 = -12*f. Let o be (7*(-6)\/f)\/((-1)\/9). Let t be (-12)\/o + 64\/(-28). What is m(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14494.63*3.\nAnswer: 43483.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (3*-1 - -1). Let b = -1 + f. Let m = 1 + b. Solve -4*o + 7 = j, 2*o - 4*j + j - 7 = m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1182045699?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 14*y. Which is the closest to 11? (a) 1\/2 (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -81 in 0.2, 0.22, -4, -2, -3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -586641*v - 4106453. Calculate n(-7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.07 (b) 1\/2 (c) 442420\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -13*g + 22*g. What is the closest to 22 in 2\/7, g, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -340126*c**2*x**3 - 219*c**2*x + 3*c*x**4 + 16*c*x - 12*c + 2 wrt x.\nAnswer: -2040756*c**2*x + 36*c*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 212428 = 35*n. What is the thousands digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1100 and 211\/55440?\nAnswer: 277200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + z**2 - z - 1. Let y(c) = 14*c**3 - 5*c**2 + 11*c + 10. Let x(j) = 5*m(j) + y(j). Let o(n) = -n**3 - n - 1. Determine -4*o(h) - x(h).\nAnswer: -5*h**3 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, -26, -146, -324, -566?\nAnswer: -878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 567, -5, 0.16 in descending order.\nAnswer: 567, 5, 0.16, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p + 4. Give n(7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30634 in -173, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 55648.\nAnswer: 55648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and -22003.\nAnswer: -21995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5927*c**2. Let l(b) = 21*b - 1. What is l(g(r))?\nAnswer: 124467*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w. Let c be -3 + (2 + 1)\/(-3). Let g(y) = 5*y**2 + y - 2. What is the lowest common multiple of r(c) and g(2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2879*z + 339725. Give o(118).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001197 to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 198575916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 217 + -213. Solve -1 = -o - w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**3 - 51*z**2 + 8*z - 55. Let v be w(-13). Let b(u) = -u**3 + 9*u**2 + 9*u + 3. What is b(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82756058 + -82755983.999938. Let j = 74.009 + -0.009. Let b = j - u. What is b rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 1565.082\nAnswer: 313.0164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88 - -46. Let r be (-9)\/i*(-2)\/(-3). What is the nearest to -0.1 in -0.4, 1\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*h + 140*h - 54*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/77 and 46\/1111?\nAnswer: 7777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1 = 13. Solve j*c = 2*c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 + 3*c**2 - 13*c + 115. Let h be y(0). What is the highest common factor of 690 and h?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20672 times 0.1\nAnswer: 2067.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a. Let s be 8\/12 + 3\/9. Let j(n) be the first derivative of 0*n**2 - s + 0*n - 4\/3*n**3. Give j(c(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**(-33)*y*y\/(y*y*y*y*y\/(y**(-4\/7)\/y*y)*y)*y**(2\/9) assuming y is positive.\nAnswer: y**(-274\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d = -36*d + 10. What is the nearest to d in 2\/3, -1, -1\/3, -1\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -5, -37 in descending order.\nAnswer: 1, -3, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/14 - (-792)\/(-924)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127949 = -8288*f - 185269 - 295528 + 28586 for f.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + -26. Let h = 103 + p. List the prime factors of h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, e: 2}. What is prob of picking 1 e and 2 d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(-6)*(8\/42)\/((-4)\/(-18)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p + p - 12*p + 29. List the prime factors of n(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 18 - 40)*(2*d**3 + 2*d**2 - 2*d**2) + (-2*d + 2*d - d)*(-3 + 3 - 3*d**2) to the form x*d**3 + y + r*d + h*d**2 and give x.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from {q: 1, s: 7, m: 2, i: 2}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416118 is divided by 797.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 7:22 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 102956909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46 - (-220)\/(-5))\/(-1 - (-22)\/8).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.27214042 rounded to 4 decimal places?\nAnswer: -12.2721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75*a**6 - 40*a**4 + 613*a**2 - 4.\nAnswer: 9000*a**3 - 960*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**3\/3 - 13*u**2 - 24*u + 20. Does 8 divide b(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5*j)**(6\/13) assuming j is positive.\nAnswer: j**(36\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16561 is divided by 144.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + w**2 + w + 4. Let o be d(0). Solve -3*l - 6 = -y - 18, -o*y = -l + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2592736*y**4 + 2503452*y - 4 wrt y?\nAnswer: -31112832*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3))**(-1\/43)*(r**(-1))**37 assuming r is positive.\nAnswer: r**(-4774\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 107600754367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4)\/(l*l**(2\/31)\/l))\/(l**(-1\/5)*l*l*l\/(l\/(l*l\/l**(4\/3)))*l))\/((l*l**2)**(-35)*(l**(-1\/2))**36) assuming l is positive.\nAnswer: l**(53693\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/((-6)\/2)*-10. Let x(j) = -4 + 9*j**2 + 21*j - 11*j - 10*j**2. Let h be x(b). Let r(f) = f**2 + 5*f + 2. Calculate r(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -37. Let t = 1093 + -1080. Calculate the remainder when c is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -14. Suppose f - 3 = 3. Suppose -9*g + 60 = -f*g. Calculate the lowest common multiple of g and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1671524250 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -3 - -11) + (0 - 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 229 - 226. Solve s*r - 49 = -58 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcx when three letters picked without replacement from {x: 17, c: 2}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006277512 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/110 - 81*57\/15. Is j > -308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j. Let r(x) = -7*x - 19 + 19. Calculate d(r(l)).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/5784611?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -40. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/(-15)*(-18)\/(-21))\/(58\/(-290)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a decade in years?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*h + 16. Is -2 - (3 - 6604 - (-1 - h)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1003 - 699. What is the highest common factor of r and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5783 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 2. Let g = -8 - -12. Suppose -g*m = -m. Let f = m - 3. What is b(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 296970*v**2. Let y(u) = 16*u**2. Determine y(s(q)).\nAnswer: 1411058894400*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*i - 90 = 0, 0 = -4*b - 0*b + 4*i + 104. Suppose 3*m - m - b = 0. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 8*u**5 + 64*u**4 - 102870*u**3 - 308930*u**2 - 231748*u - 51504 = 0.\nAnswer: -116, -2, -1\/2, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*h**4*x + 828*h**3*x + 36840*x wrt h.\nAnswer: 32*h**3*x + 2484*h**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.25590842 rounded to 4 decimal places?\nAnswer: -2.2559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 (base 3) in base 2?\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-210)\/(-40)*(-64)\/(-6). Let m be (-50)\/g - 3\/(-4). What is the second smallest value in m, -3\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -173\/5 - -35. Let c(l) be the first derivative of 0*l + p*l**5 + 0*l**4 - 2\/3*l**3 + 0*l**2 + 10. Let c(b) = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 7*s**2 - 15*s - 15. Let q be l(-9). Let z = q - -210. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 478*q + 17. Let s be o(5). Let m = 3819 - s. What is m rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-291)\/(-2) + 87\/(-58). Calculate the highest common factor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 870*a*j**3*l + a*j**2 - 89*a*l + 209*j**3*l - 450*j**2 wrt j?\nAnswer: 5220*a*l + 1254*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33167 + -19024. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6533, 6375, 6113, 5747, 5277?\nAnswer: 4703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 8*a**3 - 7*a**2 - 5*a + 14. What are the prime factors of b(4)?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 252?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 32 = 4*v, -4*v - 63 = -4*d + 5. Let j = -41 - -29. Calculate the remainder when (-3 - j*3) + 0 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-16)*-2*-4. Let h(t) = t**3 - 4*t**2 - 7*t + 4. What is h(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -6. Suppose -q - 3*q + 24 = t. Calculate the least common multiple of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*o + 73 = -52 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytswfit. Give prob of sequence ys.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11713, 23440, 35171, 46906, 58645, 70388?\n\"Answer: 2*s**2 + 11721*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -184 + 184. Let j be (0 + 1)\/(2\/(-6)). Let i be (-10)\/(6\/j) - 3. Solve -5*g + 5 + 5 = a, -i*g = 3*k - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (276\/(-105))\/(2\/65) - (-24)\/56.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*3*(sqrt(24)\/(sqrt(16)\/sqrt(2)) - (2 + sqrt(48)) - (1*sqrt(3) + -5)*6*-5)**2.\nAnswer: -455238 + 147744*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + 5*j - 2*j + 0*j + 12*j - 4*j + (4*j + j - 3*j)*(2 + 0 - 4) - j + 2*j + 0*j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 5*f + 22, 5*g - 4*f = 9*g + 24 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8995 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000079513 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1821, -1820, -1819, -1818, -1817?\n\"Answer: p - 1822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276, -266, -264, -270?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 184621188 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -377 - -2c608?\nAnswer: 2c261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*p + 12. Let h be ((-24)\/36)\/((-6)\/(-9)) + 4. Solve h*n + p + 0 = -a, 4*n = 5*a - 17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 552 + -555 + 1 + 12 + 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3, -2, 5, 18?\n\"Answer: 3*s**2 - 8*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*i - 7066 - 9412 = 0. Suppose -4*w = m - 44, -1 = -3*w - 10. Calculate the highest common divisor of i and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126350 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 646*j + 144 = 1343*j - 553*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1389 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 n = -101\/2 + 371\/6. Let j = -12 + n. What is the closest to j in -0.3, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1602345*p**4 + 3962080*p**2?\nAnswer: -38456280*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 25 = 3*j - 22, 4*w - 4*j = -212. Find the common denominator of 1084\/112 + w\/(-98) and -1\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 1)*(1001 - 14*y**3 - 1001) + 3*y**3 - 6*y**3 + 2*y**3)*(-1 + 1 - 2*y).\nAnswer: -26*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 - 33*k - 21. Let g be o(13). Let v = g - 42. Solve z - 4*z = -v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.111444 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -22*h**5\/5 + 998*h**4\/5 - 402*h**3 - 15566*h**2 - 47248*h\/5 + 27552\/5 = 0?\nAnswer: -7, -1, 4\/11, 12, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**5 - 74*u**4 - 2*u - 67. Let v(q) = 3*q**5 + 73*q**4 + 2*q + 67. Let r(h) = 3*v(h) + 2*z(h). Find the second derivative of r(n) wrt n.\nAnswer: -20*n**3 + 852*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 511 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31.9 + 32. Which is smaller: h or -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -679 = 8*i - 4231. Let o = 452 - i. Solve 6 = -n - n - 5*c, 4*c = -o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(880)*-3)\/(sqrt(110)\/sqrt(40)) - (6*1*(sqrt(720) - (sqrt(720)*-1 + sqrt(720))) + -3))**2.\nAnswer: -576*sqrt(5) + 46089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1920 - -1322. Let k = -13752\/23 - i. Let u = 32 + -32.3. Put -0.4, k, u in increasing order.\nAnswer: -0.4, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 15\/(-35) + 7107\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + 1. Suppose -3*s + 2*s - 13 = -p, 0 = 3*p + 4*s - 32. Let z = v - p. Which is greater: z or -8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -9816414.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(2\/3)*j*j)**(-42)\/((j**(-4)\/j)\/j*j*j**(-5)) assuming j is positive.\nAnswer: j**(-186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i + i**3 - 85 - 87 - 84 - 9*i**2 + 263. Calculate d(8).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 21, 29?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1116487 is divided by 279118.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**9\/24192 + z**8\/3360 - z**7\/1120 + z**6\/720 - 3*z**5\/20 + 3*z**2. Let l(h) be the third derivative of b(h). Factor l(u).\nAnswer: -(u - 1)**2*(5*u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12449012, -24898043, -37347084, -49796141, -62245220, -74694327, -87143468, -99592649?\n\"Answer: -n**3 + n**2 - 12449027*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3220 = g - 835, -3244 = 4*f + g. Let p = -548 - f. What are the prime factors of p?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5 = -0*s + s, f + 4*s = -20. Solve -2*c - 4*c - 12 = f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108*l**2*p**2*v + 2*l**2*v**3 + l*p**2 - l*p*v**3 + 28*l*v**3 - 3*p**2 wrt l.\nAnswer: 216*p**2*v + 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258266.\nAnswer: 2, 263, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgz when three letters picked without replacement from zpzeevgg?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**3 + 66*o - 10*o**2 + 2*o**5 + 75*o + 8*o**4 - 99*o + 2*o**2 - 46*o**3 = 0?\nAnswer: -7, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -164*h**2. Let c(t) = -191*t**2. Calculate c(j(l)).\nAnswer: -5137136*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-8*1\/(-2). Let o(a) = a**3 - a**2 - 2*a + 1. Calculate the remainder when o(v) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1975.448 + -0.248. Let u = q + -1974.799984. Let v = 0.4 - u. What is v rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l. Let c(b) = b - 8. Let z(k) = -k + 6. Let o(i) = -3*c(i) - 4*z(i). Give h(a) + 16*o(a).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 98*a - 57. Let r be x(-10). Let g = r + 1707. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-2)*(-280)\/(-12) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(-12))\/((-26)\/3874) and (6\/(-28))\/((-24)\/44).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4 - 7816*p**3 - 23457*p**2.\nAnswer: p**2*(p - 7819)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 902 is divided by 121?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 688757743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*o**3 + 0*o**2 - 10*o**3 - 1989*o + 1989*o + 40*o**3 + 0*o**2.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -540726044*w**3 + 1850217*w**2 - 80?\nAnswer: -3244356264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39365237?\nAnswer: 5647, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from auajaaauaaaaayu. Give prob of sequence yuj.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-2\/123)*t*t**18\/t assuming t is positive.\nAnswer: t**(2335\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 227 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at most as big as 5774780?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 1472*i - 2918. Calculate w(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81\/2 of a litre?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 48 = -0*v. Let k = -21 - v. Let 0 + 0*g - 3\/2*g**k + 0*g**2 = 0. Calculate g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2342745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (20 + -9) - 21?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 32*u**2 + 4*u - 16. Let h = 352 - 347. What are the prime factors of o(h)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 8*a = -12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2)*(-j - 7*j + 3*j)*(0 - 4 + 0) to s*j + x and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.37 - -39.63. Let v = f + -41.44. Round v to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from vgggwifgggm.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 340 and 425?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t - 8. Give y(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1873\/3 (b) 6.3 (c) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 c, and 1 i when four letters picked without replacement from cmmtcxtccclcilccx.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*d - 684, 8*d - 696 = -5*g + 6*d. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**4 - 72*p**2*s - 54*p*s + 11*p wrt p.\nAnswer: -24*p**2 - 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/j**(1\/14)*j)**(2\/35)\/(j**(2\/41)\/(j**(-12\/7)\/j)))**27 assuming j is positive.\nAnswer: j**(-137700\/2009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.3812 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(1\/4))\/s**(-3\/8)*(s**1)**(1\/8) assuming s is positive.\nAnswer: s**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1224)\/(-340)*20\/8. Solve 0 = -f - a + 3, q*f - 15 = 5*f - 5*a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 521780885 to the power of 1\/3, to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/35 - (-12)\/7. Suppose x - 4 = -n, -r*n = -5*n - x + 4. Let p be 10\/(-8) - 1357\/(-1012). Is n at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1005 - -1005. Let p = -0.06 + 17.06. Put -1\/4, p, k in decreasing order.\nAnswer: p, k, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + q - 1. Let t(z) = 6*z**2 - z + 1. Let o = 344 - 345. What is o*t(r) - d(r)?\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.2 and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2878823.\nAnswer: 19, 151517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**5\/30 + 5*u**4\/12 + 5*u**3\/6 - 13*u. Let m(s) be the second derivative of o(s). Find the first derivative of m(d) wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10758677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -254 - -243. Put -1, -3, v, 0 in decreasing order.\nAnswer: 0, -1, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.66677 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 32?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**4*d*d)\/d)**27\/((d*d*((d\/(d**(1\/10)\/d)*d)\/d)\/d)\/((d*d*d**(2\/5))\/d)) assuming d is positive.\nAnswer: d**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 - (-9 + 17 + -16).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.22, -0.5, -3, 0 in increasing order.\nAnswer: -4.22, -3, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 738 - -854. What are the prime factors of m?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 362 + -342. Suppose 0 = 5*h - 95 + o. What is the remainder when h is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = 2*v. Suppose -v - 4 = -p. Solve -2*i + p*i + 6 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 0, -5, 5, 228, 18 in increasing order.\nAnswer: -5, -4, 0, 4, 5, 18, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8965852813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8569487249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 4*k**3\/3 + 2198. Let a(d) = 2393*d. What is l(a(r))?\nAnswer: 22905796*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 + -152150.\nAnswer: -152162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - -1*sqrt(171))*1 + -3*(sqrt(171) + sqrt(171)*2))*5)\/(4*-6*(sqrt(81) - -1*sqrt(81))\/sqrt(9)*3).\nAnswer: 35*sqrt(19)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5445987.\nAnswer: 3, 31, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 99c10 + -5?\nAnswer: 99c09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -994 by -998.\nAnswer: 497\/499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 + 10*l + 13. Let z(t) = t**2 + 3*t + 4. Let c(p) = p**3 + 15*p**2 - 33*p + 24. Let u be c(-17). Calculate u*z(w) - 2*g(w).\nAnswer: -w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 1003322101?\nAnswer: 1003322102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2393033 * 12\nAnswer: -28716396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o. Let g(d) = 3677*d - 7416*d + 3741*d - 1. Calculate 6*g(h) + 5*s(h).\nAnswer: 2*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 8*a - 1. Let g = 32 - 12. Let o = 13 - g. Let z be c(o). Solve -3*r + 3*d = 0, -3*r - 5*d - 4 = -z*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 952907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**3 - 8*l**2 + 2*l + 7. Let o(j) = 29*j**2 - 38*j**2 + 2*j - 792 + 5*j**3 + 800. Give -6*m(a) + 5*o(a).\nAnswer: a**3 + 3*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -93563 + 17683342\/189. What is the common denominator of -143\/84 and y?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 1:32 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 791, 3112, 6969, 12368, 19315?\nAnswer: 27816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1993, -1, -2\/3 in ascending order.\nAnswer: -1993, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.6 - -16.4. Let i = m - 22.77. What is i rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -951 = -2*v - 947. Put 1, 3, v, -5 in decreasing order.\nAnswer: 3, v, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 14 = -8. Solve 0 = 2*p - 2*k + 8, -4*p - 2*k + n*k - 4 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17535 - -77120?\nAnswer: 116655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 216453885?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3781853.\nAnswer: 3781853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3158, -15968, 0.1?\nAnswer: 3158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = -0*g + 4*g. Let b = g - 52. Find the second derivative of 5*h - 7*h + b*h**5 + 3*h wrt h.\nAnswer: 560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -293b8d (base 14) to base 10\nAnswer: -1431905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1328.66 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 1. Let o be c(1). Let q = -1 + o. Is 1\/9 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 5*a**2 - 5*a + 7. Let k be j(4). Let x be (0\/((-1*6)\/k))\/(-2). What is the hundreds digit of (x - (3 + -1))*(-81 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.332 - -0.128. Let r = 1.46000079 - z. What is r rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13 - (-3 - 0)\/(-3). Suppose -3*g + k = -18. What is the remainder when g is divided by 34\/9 + 6\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 275 + -2732175410\nAnswer: -2732175135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/27 + -1082*97\/1746?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464857409?\nAnswer: 79, 5884271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -31*c - 4. Let q be (3\/2 - c)\/((-30)\/(-60)). What is the third biggest value in q, -0.051, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2648*u + 39 + 380*u**3 - 67 + 2648*u + 28.\nAnswer: 380*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12214 rounded to three dps?\nAnswer: -0.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*f = -2196, -2*g - 5*f - 373 = 725. Let h = -527 - g. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 7 + 150*m**3 + 5.\nAnswer: 150*m**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 2*b = 18, -4 + 1 = o - 8*b + 10*b for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0432 times 706491?\nAnswer: -30520.4112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23001425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -232*n - 100. Does 4 divide f(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/3)\/j**7)**(9\/5))**(3\/7) assuming j is positive.\nAnswer: j**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**8\/504 - 11*g**6\/180 + g**5\/5 - 2*g**4\/9 + 29*g**2 - 2*g. Determine q, given that f(q) = 0.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147212572 divided by 2.\nAnswer: -73606286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 8. Let g be q(-3). Let b be (-1 + 154)*(g - -13). Suppose 3*m + 63 = b. Is 27 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 + -25 - (-2535)\/(-90)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 2\/51 (c) -8 (d) 0.2 (e) -0.05 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from ttottttqt?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 3) to base 16\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.042 to three decimal places.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**6\/360 - f**5\/40 - f**3\/2 - 2*f. Let x(t) be the second derivative of z(t). What is the second derivative of x(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 8*q + 6. Let r = 13 - 21. Determine g(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1837273.\nAnswer: 1837273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 94018 < 94173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 27 = -l. Suppose -m - 5 = -3. Let r(z) = -8*z**2 + 5*z - 13. Let n(q) = -2*q**2 + q - 3. What is l*n(d) + m*r(d)?\nAnswer: -2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**6\/660 - 2*v**5\/165 + 19*v**4\/132 - 14*v**3\/33 - 70*v**2 - 2*v. Factor p(o).\nAnswer: -2*(o - 2)*(o - 1)*(o + 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*a, 6*a = -5*j + a + 10. Let n = -2 - -6. Suppose -2*s = n*u + 3*s, -5*s = 0. Solve -c - j = -u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or 41?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is bc972 + -7?\nAnswer: bc968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -176*m**2 - 9*m + 4072. Let r(u) = -353*u**2 - 21*u + 8142. Let v(o) = 9*f(o) - 4*r(o). Differentiate v(k) wrt k.\nAnswer: -344*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 96 in 3, 15, 0.1, -15, -0.19?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2120012 (base 6) to base 10.\nAnswer: 103688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 4. Suppose -r*l + l = -14. What is the remainder when (57\/12)\/(2\/8) is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 564.542 years in millennia?\nAnswer: 0.564542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576048 is divided by 7680?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**3 - 43676 + 43676 - 2*f**3 - 3*f**2 + 5*f**3.\nAnswer: -5*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*m - 6*s, 5*m + 2*s - 170 + 185 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-20))\/(280\/100)*1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 - 411 = o - s - 130 - 175, -o - 22*s + 19 = 0 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-94)\/(-6) + 5\/15. Suppose 0 = -l + p + 63, -2*p + c = 2*p. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -476 - -472. Let h be (-9)\/(-12)*(u - (-220)\/51). Which is the fourth smallest value? (a) -4 (b) h (c) -0.1 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 867036177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39060618.\nAnswer: 2, 3, 19, 41, 61, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 19, 50, 93?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 times 26189?\nAnswer: -628536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n**3 - 2*n**3 - 3*n**3)*(-10 + 19 + 8 + 14*n) in the form f*n**3 + j*n**4 + s*n**2 + y + a*n and give j.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -305*b**2 - 8*b + 5. Let v(r) = 102*r**2 + 3*r - 2. Let o(d) = -8*v(d) - 3*w(d). Is o(-1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32053 is divided by 1500.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**6\/120 - n**4\/24 + n**3\/6 - n**2. Suppose -7 = 7*t + 7. What is i(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.0587539, 0.4, 2, 5 in descending order.\nAnswer: 5, 2, 0.4, -0.0587539, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -667*r**5 + 684*r?\nAnswer: -13340*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - 121?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5 - 3 + 2*t + 0. Suppose -4*y = 3*x - 11, -5*x - 1328*y = -1324*y - 5. Let c(w) = -5*w - 6. Give x*c(s) - 8*h(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16442 times -50.74?\nAnswer: 834267.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (3 + (-26)\/5). Let m be ((-3)\/4)\/(10\/(-4)). Let g = n + m. Which is the smallest value? (a) -3 (b) g (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10364.5122*3\nAnswer: -31093.5366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 + -14.3. Let s = 16 + -2. Let t = s + d. Is -6 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90692 is divided by 266.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -12*r**2 + 2. Give b(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-1*-5 + sqrt(200) + -6*sqrt(200)*2)\/(((sqrt(110) - (sqrt(110) - (sqrt(110) - (sqrt(110) + 1*sqrt(110)))))*-5)\/(sqrt(176)*-2 - sqrt(176))).\nAnswer: 144*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1235453140 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 655431347?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 3. Calculate the remainder when 127 is divided by (-1 - t) + -10 + 57.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -389497 - 8331138 = -18*j + 2159051. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -0.6. What is the third smallest value in -4, 1\/6, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 5. Let f be 4*-6*(-3)\/(-12). Let r(g) = -2*g**2 - 2. Let x(y) = -2*y**2 - 1. Let a(u) = f*x(u) + 7*r(u). Calculate 5*a(h) - 8*t(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 7 = -b, 125*b = 129*b - 12. Solve -4*w = -5*j + 8, 3*w - 2 = -3*j + z*w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i**3 - 2*i**2 - 2*i + 5. Let l(f) = 12*f**3 + 5*f**2 + 5*f - 9. Calculate 2*l(s) + 5*z(s).\nAnswer: -6*s**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 114\/101, -1, 0.2, 2.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -7 (b) -1\/3 (c) 0.23 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2342 smaller than 508236\/217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10745477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 57 = 4*k - 191, -2*k + 5*r + 96 = 0. Is k a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 2:38 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (11 - 0) + (16 - (18 - -1 - 46)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a factor of 603548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 9 = -m, 6*z - 4 = 4*z + 5*m. Suppose 5*u - z = -3*f, -5*f + 1 = -6*f. Let j be -1722*(u + (-8)\/(-6)). Round j to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m**2 - 5*m + 131. Calculate k(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -20*x - 36. Let b(q) = -4*q - 7. Let c(p) = 11*b(p) - 2*d(p). Let w(t) = -t**2 + 13*t - 8. Let s be w(13). Give c(s).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - 7) + 15\/9. Let z = -7.13 - -0.13. Put 0, z, r in ascending order.\nAnswer: z, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 5*g + 15*o, -3*g - 33*o + 34*o = 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 33, 0.2, -1\/3, 114790, -5?\nAnswer: 114790","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2167965 is divided by 3382.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36805, 37065, 37771, 39145, 41409, 44785, 49495?\nAnswer: 55761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48442091029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 741845 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(144) - sqrt(144) - (3*sqrt(2304) + sqrt(2304)))\/(2*sqrt(300)*1 - (sqrt(300) - -6*(sqrt(300) + 2*sqrt(300)) - sqrt(300))).\nAnswer: 9*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-21)*(-14)\/4)\/(27\/108).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -992.9 - -993. Suppose 7*q = 2*q + 20. Let o be (4 - 1)\/(6\/q). Which is the closest to -2\/7? (a) 0 (b) i (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-6) - 1\/2. Suppose s*n - 6 = 24. Suppose -r + 37 = -35. What is the remainder when r is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 5*d + 2*u, 0 = -4*d + 30*u - 31*u - 16 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 5 (c) 3 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805274943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1479 or -391698\/265?\nAnswer: -391698\/265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2. Let z(o) = o + 0*o + 9*o - 6*o. Determine u(z(k)).\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/2, -0.09, -35.2, 3.7, -1\/7, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*w - 31, 4*w + 18 = 2. Solve -3*z + 10 = j*n, 5*z = 3*n + n - 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 6*t + 5. Let x be a(5). Suppose 0 = -x*p - 2*p + 72. Is 2630\/50*(p - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -7*t + 12*t. Let f(c) = t*c**2 + 3 - 6 + 3. Let x(k) = 17 - 8 - 9 - 5*k**2. Calculate f(x(h)).\nAnswer: 50*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 297941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 64 and 6702\/107 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6*2*6\/(-8)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1526 - -1491) + (13 - 3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40927020 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*d + 5*b - 6 = 0, 0 = 3*b. Solve -8\/11*t - 2\/11 - 6\/11*t**d = 0 for t.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, a: 1, h: 7, s: 10}. What is prob of sequence hshs?\nAnswer: 105\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3036343?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (8\/12)\/((-36)\/162). Solve 3 = 3*s - w - c, 5*s - 15 = -w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2130 - -22?\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 181 + -278. Let v = 24 - o. What is v rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/1512 and 21\/110.\nAnswer: 83160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11906 - 11727. Calculate the remainder when 17540 is divided by y.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 - 7*r**3 + 1 + 9*r**3 + r**2 - 3*r**3. Let p(y) = 295*y**3 + y**2 - 33. Let o(l) = -p(l) + 4*w(l). What is the third derivative of o(j) wrt j?\nAnswer: -1746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -14*s + 48. Determine u(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56092471?\nAnswer: 101, 127, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 2:04 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 341 and 128681.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -5. Sort 0, h, 4 in descending order.\nAnswer: 4, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 8*r + 6 = 0. Solve -k = -4*i + r*k, 5*k = i + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 m when four letters picked without replacement from mmmmmmkmmmkmm?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 0 - 0) + -37. Let o = -116\/3 - w. Which is the nearest to o? (a) 3 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**5\/20 + s**4\/4 + s**3\/3 - 2*s**2 - 2*s. Calculate the remainder when 45 is divided by k(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2276 - -5615. What are the prime factors of s?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*l - 1528145 = 742145. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2796 and 174?\nAnswer: 81084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -176 + 177. Let k = 0.02 + -0.42. What is the closest to -2 in q, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5de (base 16) to base 11\nAnswer: -1146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54111 - -26947213\/498. Find the common denominator of o and 87\/166.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 533 and 43306?\nAnswer: 23082098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 404.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.1. Let t = -12 + 17. Let o = -44 - -48. Which is the nearest to x? (a) t (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 176.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11163*w**4 + 21594*w**3 + 9711*w**2 - 708*w + 12 = 0. What is w?\nAnswer: -1, 2\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) 0 (c) 0.16 (d) 8\/13 (e) -0.4 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*g + 109 = -5*o - 80*g, 4*o = -105*g + 80 + 2646 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(18\/(-3)))\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 - 2180*p**2 - 33 - 117 + 2180*p**2 to o*p**3 + x*p + i + z*p**2 and give i.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 14. Let k be w(12). Let c = 114 - 79. What is the second derivative of -52*f**2 - 56*f**2 + 115*f**k + c*f wrt f?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 2410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -191\/869 - -3\/79. Let k = 9 - 14. Let l = 58.7 - 59.7. What is the smallest value in k, l, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 11 = -5*r, 0 = 3*z - 2*z - 4*r + 13. Solve -4*u + 0 = z*h + 1, 2*u = -2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -228705.\nAnswer: -228706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 8:54 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v**2 + 50*v + 22 wrt v.\nAnswer: -4*v + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110772732 by -110772732.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 663 and 1911276?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (604800\/100)\/(-84)*(-2)\/(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*z - 4*q - 814, -4*q + 556 = 2*z. Let n = -178 + z. Is n a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/78 and 58\/33.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109 - 103.05. Round y to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = 5*f + 3*q, 4*f = -q + 176 - 69. Let l = 2 + -14. Let u = l + f. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/3 - (128\/(-36) + 4). Which is the nearest to t? (a) -5 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187849047.\nAnswer: 3, 62616349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 71 and 363 - (33\/4 + 36\/(-144))?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13556212 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-14))\/(18\/21)*8. Let z(n) be the second derivative of 0 + 1\/2*n**3 + 3\/2*n**2 + j*n. Find the first derivative of z(r) wrt r.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -8925 (c) -42\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + (5 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 5716881*r**2\/2 + 9564*r + 8 = 0.\nAnswer: -4\/2391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**2*t + 99104*h**2 + h*t + 1084*t with respect to t.\nAnswer: -h**2 + h + 1084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4492*u = -4445*u - 11045. What is the remainder when u is divided by 36?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3348.9 + 3349. Let r = -0.91 + -0.09. Let y be 6\/10 + -1*1. Which is the nearest to y? (a) v (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -190, -193, -196, -199, -202?\n\"Answer: -3*a - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7779.59 + 7776.389912. Let q = 3.2 + a. What is q rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvfvv. What is prob of picking 3 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 275?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33363 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 + 4*u + 1. Let o be n(4). Suppose 3*l = -15, -3*i = -2*l + 33 + 8. Let s be i\/(-5) - 9\/o. Solve -b - 7 = -h + 3*h, 3 = -s*b - 3*h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2 - 2*i. Let f(c) = 18*c. What is f(p(b))?\nAnswer: 54*b**2 - 36*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -488553984 by -15267312.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6198928 and 2584.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*v - 0*s - s, 5*v + s = 39. Let m(l) = 22*l**2 - l. Let j be m(1). Let k be j\/(-6)*(-5 + -1). What is the highest common factor of k and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**3\/5 - r**2\/5 + 9*r\/5 + 9\/5 = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*t**2\/7 + 56932*t - 34199104\/7.\nAnswer: -2*(t - 86)*(5*t - 198832)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 996*1.1\nAnswer: 1095.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49b8588 + -2?\nAnswer: 49b8586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 - (-5 + 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1285 + 1314. Suppose 0 = -0*c - 4*c + 4*v + 544, 3*c = v + 414. Suppose -c = -4*m + w. Is m a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 771664058 to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -142566*v + 8981638. Give i(63).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 + 1. Let x be t(-2). Suppose 10*k - x*k = 65. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*12*(11 - (-539)\/(-44)). Solve 3*l - q = -3*n, -n = 5*l - 9*l + 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*x - 38. Suppose 8*a = -19 + x. Suppose 0 = l + z - 59, -4*l + a*l + 2*z = -224. Calculate the remainder when l is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/9, -11\/7, -61, -4.\nAnswer: -61, -4, -11\/7, -10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 30182?\nAnswer: 11\/30182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43091, -43090, -43087, -43082, -43075, -43066?\nAnswer: -43055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*(-1 + sqrt(3)))**2 + -4.\nAnswer: -8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.071, -2\/13, -25, 0.4, 1\/2.\nAnswer: -25, -2\/13, 0.071, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7069*m - 54 + 27 + 33 - 1736*m. Let f(j) = 17*j**2 + j. Let k be f(1). Let v be l(k). What is v rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.13, 0.1, -4, 1\/6 in decreasing order.\nAnswer: 1\/6, 0.13, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/h**(-21\/5))*h)**30 assuming h is positive.\nAnswer: h**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eetifeifiefftitaeee. What is prob of picking 1 i and 1 f?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 10:30 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.4 (b) 3 (c) -0.6 (d) -4 (e) 0.504\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*k + 3 = -58*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504287 greater than 2504287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-11)\/(-352))\/((-5)\/(-10)). Let y(o) be the third derivative of 0*o + q*o**4 - 3*o**2 - 1\/40*o**5 + 0 + 0*o**3. Factor y(t).\nAnswer: -3*t*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 17 = -4*j + 423, 5*z + 3*j = 684. Let p be z\/33 + 2\/(-11). Let n be 27\/(-12) + 12\/8. Sort 2, p, n.\nAnswer: n, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14, -52, -104, -176, -274, -404, -572, -784?\n\"Answer: -c**3 - c**2 - 28*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*((-2*w - w + 4*w)*(-1 + 4 - 2) + 2*w + 0*w - 4*w + (25*w + 49*w + 150*w)*(-1 - 2 + 1 + (0 - 4 + 3)*(2 - 3 + 2))).\nAnswer: 1346*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 1)*45\/(-540) + (-2175)\/(-90).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -757 divided by 1451\nAnswer: -757\/1451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -0.2. Let g = 138.03 - 136. Let w = -0.03 + g. What is the closest to w in u, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, k: 1, n: 2, h: 3, f: 4, z: 1}. Give prob of picking 1 f, 1 n, 1 z, and 1 k.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.084946782 to 4 dps.\nAnswer: -0.0849","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 13 - 8. Sort z, -56, 2, -5 in descending order.\nAnswer: 2, z, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 5, -3*d - 5*j = -d - 7. Let i(q) = q**3 - 5*q**2 - 5*q + 1. Let v be i(d). Suppose -4*m + 24 = 4*f, 2*f = v*f + 3*m - 38. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - k - 11 = 0, 5*t + 286 - 260 = t + 2*k for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18950 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 640, 638, 636, 634?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 39.8. Which is the fourth biggest value? (a) 2 (b) 3 (c) -4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**3 + i**2 + 4*i + 1. Let j be 2*(9\/2 + 3). Let y = 5 + j. What is the remainder when v(-3) is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/16 and 107\/132.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 5*r + 6, 5*b = -582*r + 579*r + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1017 less than -2.516?\nAnswer: -2.6177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3116427726 take away 2?\nAnswer: -1.6883572274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 478526850 rounded to the nearest 1000000?\nAnswer: 479000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 8:47 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 30 = -2*a. Suppose -32 = -3*c - a*c. Suppose 36 = -c*r - 64. Which is greater: -23 or r?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 363, 719, 1073, 1425, 1775?\nAnswer: 2123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1310*0.1\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -13*v - 2. Let o be t(-3). Let j = -7 + o. What is the least common multiple of 75\/j*8\/10 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**4 + 54990*v**3 - 2846465*v**2 + 5527980*v - 2736500 = 0. What is v?\nAnswer: 1, 50, 10946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2268, 4559, 6872, 9207?\nAnswer: 11564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - f = p - 710, p + 3*f = 670. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23, 32, 55, 98, 167, 268?\n\"Answer: l**3 + l**2 - l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 17*y**3 - 20*y**2 - 11*y + 3. Let f(h) = 6*h**3 - 7*h**2 - 4*h + 1. Let c(r) = -11*f(r) + 4*g(r). Determine c(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 0)*(-4*s**2 + 5*s**2 + 8*s**2) + (-5*s**2 + 46 - 46)*(1 - 2 + 2)*(0 - 1 + 12).\nAnswer: -109*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1+63874290413621\nAnswer: 63874290413620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 378*r**2 - 10*r + 2.\nAnswer: 756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -5*t**4 - 34560*t**3 - 59754230*t**2 - 119404800*t - 59685125 = 0.\nAnswer: -3455, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -11*s + 110. Determine k(15).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -63 times 0.3\nAnswer: -18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -39. Let x be 82\/8 + (-3)\/p. Suppose l = -l + x. What is the remainder when l is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3548*v**2 + 2525*v + 12. Is b(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2208850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3630444 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -48. Suppose -4*k + 0*k + v = j, 3*j - 153 = 3*k. Let g = 14 - -3. What is the remainder when j is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 4*x**3\/3 + 27*x**2\/2 - 6*x - 1277. Calculate a(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -176*r + 140. What is the lowest common multiple of 192 and k(-5)?\nAnswer: 16320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*v - 2*l, l + 14 = 5*v - 6. Factor 2*q**3 - 533*q + 0*q**4 - q**5 + 1 + q**v + 532*q - 2*q**2.\nAnswer: -(q - 1)**3*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1954255657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -7036 and -6\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, i: 4, f: 1, n: 2, p: 1}. What is prob of sequence fp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.876492 seconds to nanoseconds.\nAnswer: 5876492000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5146 + -2904. Calculate the least common multiple of g and 9.\nAnswer: 20178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + (-429)\/6)*((-5200)\/28)\/5. Which is smaller: 2471 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) 0.012 (c) -3\/4 (d) -2\/105 (e) 11 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = k - 15, 4*k + 5 = -m - 0. Suppose 0 = -0*a + 4*a - 5*s - 33, k = -3*a - 4*s - 14. Suppose a*o + d = -3*o + 432, 3*d - 339 = -4*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvkkkykkkkkbvbbkbk. Give prob of sequence vkyk.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 29774?\nAnswer: 119096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20920438 by -917.\nAnswer: 22814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 17925+-6226\nAnswer: 11699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(-3*(sqrt(20) + sqrt(5))))**2.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 3*h**2 + 2)*(-3 + 2 + 6) in the form o*h**2 + z*h + d and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 432719251.38?\nAnswer: 432719250.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(1 - 2) + -4. Suppose 5*m + 5*m = 0. Suppose m = -17*x + 22*x - 20. Solve x = f - a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*f = 4*b - 22, 4*b - 5*f + 53 = 0. Calculate the common denominator of 15\/(-4) + ((-28)\/(-12))\/b and ((-3)\/32)\/((-3)\/(-132)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2112, -4224, -6336, -8448, -10560?\n\"Answer: -2112*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 154*o - 168*o - 336. Which is the nearest to 2? (a) -3 (b) o (c) 3 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1522210610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((65\/(-25))\/13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 17. Let x be (1 - 2)\/(1\/4). Let o(i) = 6*i**2 - 5*i - 3. Let z(f) = 11*f**2 - 1 - 1 - 9*f - 3. Calculate b*o(p) + x*z(p).\nAnswer: -2*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t + 4*t - t**3 + 9 - 16*t + 9*t**2. Let q be r(8). Let u be 1\/(-2) + 25\/2 + -1. What is the greatest common factor of u and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 30*q**2 - 2*q + 60. What is h(30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 211123 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3495 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*q**2 + 732*q - 11385.\nAnswer: (q + 69)*(13*q - 165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuumuuuu. Give prob of sequence muu.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2888696346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5*2 - -1)*-3. Suppose -r = -2*w - w. Suppose -8*g + 60 = -4*g. Calculate the remainder when g is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.03, 9, 1\/21 in descending order.\nAnswer: 9, 1, 1\/21, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.11, 2, -3\/5, 0, 1\/14, -0.2, 4?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78 - -65. Let k(m) = 2*m**2 + 23*m - 28. Let y be k(b). Calculate the greatest common factor of y and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 11*v - 51. Let z be y(5). Solve 0 = -6*p - 14 - z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -0.4, -4504?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/15)\/((-12)\/(-30)). Solve -m*y = 5*t + 8, -5*t + t + 4*y = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2610842022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 681 = -4*i + 77. Let t = 913\/6 + i. Calculate the common denominator of t and -83\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*o + 36*o + 150*o + (0 + 1 - 3)*(-2*o + 5*o + 16*o) to the form l + q*o and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 3671?\nAnswer: 3672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 5*s**3\/3 - 1765*s**2\/2 + 6980*s + 701. Factor t(n).\nAnswer: 5*(n - 349)*(n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 324*v - 324*v + 1 + 79*v**3 - 3*v**3 - 2*v**3 + 7*v**3 + (2*v + 2*v - 5*v)*(3*v**2 + v**2 - 3*v**2).\nAnswer: 80*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 874.106 nanograms?\nAnswer: 0.000000874106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 0 - 1. Let n(b) = b - 4 + 0 - p + b**2. Is n(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1115 - 4?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0492? (a) 0.3 (b) -43 (c) -16 (d) 0.2 (e) -6 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**4\/4 + 2*f**3 + 7*f**2\/2 + f - 1. Suppose -3*c + 12 = -3*y, 0 = 3*c - 696*y + 699*y + 42. Calculate q(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3445*q - 17633 + 17633)*(5 + 1 - 5) as a + d*q and give d.\nAnswer: -3445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 528 and 1872?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 13 - 1. Let o = v + -7. Is 5 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -522363*b**4 - 2*b**3 - 6*b - 142088892?\nAnswer: -2089452*b**3 - 6*b**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205265, 205267, 205327, 205493, 205813?\nAnswer: 206335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/69846 and -53\/33260?\nAnswer: 698460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2 + (2 - 4 + 3)*(3 - 4 - 1))*(-2063 + 2063 + 22*o).\nAnswer: -88*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*(2*sqrt(700))**2 - ((sqrt(700)*1)**2 + sqrt(700) + -3)) + -5.\nAnswer: -10*sqrt(7) + 10498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-306111)\/(-61221) - 6) + -3 + 4. Which is bigger: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-48)\/5)\/(-12))\/((-4)\/30).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -331 + 332.013. Let y = -1.08 + q. What is y rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2850 - 37\/2*z**2 + 520*z - 1\/2*z**3 = 0. What is z?\nAnswer: -57, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4110 - 4110. Let w(z) be the third derivative of -z**3 + 0*z**4 + 1\/60*z**5 + 0*z + 18*z**2 + v. What is the derivative of w(k) wrt k?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 - 2*v - 1. Let p(k) = -7*k**2 + 5*k + 2. Suppose -8*s - s - 18 = 0. What is s*p(x) - 5*q(x)?\nAnswer: -x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19840 and 837.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 434401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-330)\/550)\/(84\/(-140))*4\/5*1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7 (b) -2\/5 (c) -6 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times -51.926939?\nAnswer: 2.07707756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.5 (b) -4.3 (c) 3 (d) 1 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3915, 5388, 6861, 8334?\nAnswer: 9807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 821\/1197 - 40\/57. Calculate the common denominator of 4 - 82\/20 - 823\/(-630) and v.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxy when three letters picked without replacement from yqxyyxpyxp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2657 is divided by 74?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from ccccccciic?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -276, -437, -600?\nAnswer: -765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 27, -84, 4, -1, 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2054 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 758987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 162 - 75. List the prime factors of m.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 17. Let b(i) = -11*i - 10. Is b(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 3, -75508 in descending order.\nAnswer: 3, -3, -4, -75508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19\/14 + 32\/21. Factor 0*f**2 - 1\/6 - 1\/3*f**3 + x*f**4 + 1\/3*f.\nAnswer: (f - 1)**3*(f + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -18. Which is smaller: 15 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 94777 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/5, 0.4, -13730, 47\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3714898*g**2 + 11601*g - 46404. Let o(d) = -1281*d**2 + 4*d - 16. What is 11601*o(l) - 4*w(l)?\nAnswer: -1289*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1678 smaller than -1679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**5 + 0*f**5 - 7*f + 2*f**5 - 4*f**5 - 3 + 0 + 2*f**5 + (10 + 11*f**3 - 10)*(3*f**2 - 4*f**2 - f**2).\nAnswer: -23*f**5 - 7*f - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -142995 (base 11) in base 8?\nAnswer: -664356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 22.7, 5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30579, 69514, 108449?\n\"Answer: 38935*m - 8356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -12, -3\/4, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 + 26032818*c**3 + 56475530287059*c**2 - 451805491872504*c + 903611816795952.\nAnswer: 3*(c - 4)**2*(c + 4338807)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 332 divided by -908.\nAnswer: -83\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(192) + 0 + sqrt(192) + (sqrt(3) - (sqrt(3) - sqrt(33)\/(sqrt(11) - sqrt(11)*3))) - 6*sqrt(48)*-4).\nAnswer: -223*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3280 and 406064?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8956 by 125.\nAnswer: 8956\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 - 18*j**2 + 16*j + 11. Let n be g(-10). Solve -m + n = 54 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 less than 453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -8. Suppose 6*o = x*o - 15. Calculate the common denominator of -1\/20 and ((-3)\/36)\/(o\/(-470)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*q + 3*q**3 + 37*q + 184*q**5 - 120*q**5 - 95*q**5 wrt q?\nAnswer: -620*q**3 + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 516*s - 71064. Calculate p(138).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 43356*4\nAnswer: 173424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1542, 6, 1.\nAnswer: -1542, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 155*t**2 + 5*t - 32. Let n(l) = 52*l**2 + l - 10. Let x(b) = -8*n(b) + 3*o(b). What is the hundreds digit of x(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 855*m + 51. Let h(c) = -10260*c - 595. Let y(i) = -3*h(i) - 35*z(i). Let g(q) = q**2. Give g(y(a)).\nAnswer: 731025*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*i - 81*i + 29858 + 12976 = 1059*i for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21938\/(-29773)*(-1 + 18\/21 - 4\/14)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/7)*(h**31*h)\/h)**(6\/11) assuming h is positive.\nAnswer: h**(1332\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzgmmmtgmmmtmtmmtmm. Give prob of sequence mmmt.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 3\/11, 1\/6, -353?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 4*k**2 - 10*k - 9. Let w be r(6). Which is the second biggest value? (a) w (b) -5 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 4*d**2 - 3*d - 10. Suppose 25*r = 21*r - 16. Let o be f(r). Sort -4, -3, 10, o.\nAnswer: -4, -3, o, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49*16076.\nAnswer: -787724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -5*m - 15, -2*m - 15 = -680*i + 675*i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/v**(2\/3))**(-1\/18)\/(v**(2\/7))**(-50) assuming v is positive.\nAnswer: v**(5351\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d + 23*d = 2*z - 6818, 2*d - 6788 = -2*z. Is 25 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.4 - -8.7. Which is the second biggest value? (a) v (b) 3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 9*(-1)\/(-3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*sqrt(468))\/sqrt(9).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -59*j. Suppose 4*v + 4*q - 2*q = 1024, -3*v + 777 = -3*q. Let c(z) = z + 255*z**2 - v*z**2 - z. What is c(u(l))?\nAnswer: -6962*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 4)*(-8*p + 24*p - 11*p) + 2*p + 3 - 3 + 5*p - 2*p - 2*p + (7*p - 3*p - 3*p)*(-6 + 4 + 0).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.28 + -40.28. Let z = -39.76 - q. Let v = 0.26 + z. What is the smallest value in -3\/2, 3\/4, v, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 43335?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*c + 5*p = 49*c, -5*p = c. Put c, 1\/3, 0.022 in increasing order.\nAnswer: c, 0.022, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 2. Suppose 2*g = o + 4*o - 17, 21 = -4*g - 3*o. Let w be i(g). Suppose -1 + w = s. Is 0 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 + 10\/4. Let l(t) = -6*t - 22*t**g - 3 + 19*t**2 + 1. Let y be l(-2). Which is the second smallest value? (a) 6\/11 (b) 2 (c) -0.01 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3*(1 + sqrt(1331)) - ((3 + sqrt(1331) - sqrt(1331) - sqrt(1331)) + -2 + sqrt(1331))) + 2 + 0)**2.\nAnswer: -198*sqrt(11) + 11988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*16\/56 + 6 - 4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - m - 1668 = 3*a, 5*a = -25. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35, -80, -403, -1042, -2105, -3700, -5935, -8918?\n\"Answer: -18*v**3 + 4*v**2 - v + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 11*p + 432 = 0. Suppose -3*x = -0*x. Suppose -2*m + x*m = -p. Calculate the smallest common multiple of m and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4441747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -21*g**2 + 4969*g + 9942. What is j(-2)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -101323103?\nAnswer: -101323100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 10) to base 9\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 2 - (-29 - -24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2260997 or 2260995?\nAnswer: 2260995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 102.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - -5 - (3 - 5 - 0). Let w = 17\/2 - d. Sort w, 1, -5.\nAnswer: -5, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 159104, 318216, 477328, 636440, 795552?\n\"Answer: 159112*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + c - 2*c)*(2 - 1 - 2)*(-c + 7 - 7).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14197194 a multiple of 1674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -2, 35, -1, 8, -5 in ascending order.\nAnswer: -5, -2, -1, 8, 10, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 240947343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 0*b + 1\/7*b**2 - 3 + 8\/21*b**3. Factor l(o).\nAnswer: 2*o*(4*o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 - 11*j**2 + j - 4. Suppose p + 19 = 6. Let q = p - -8. Let u(i) = i**3 - 6*i**2 + i - 2. Let f(d) = q*u(d) + 3*x(d). What is f(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.163 + -1.32. Let m = 0.043 - t. Let k = -0.1999855 + m. Round k to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(252))\/sqrt(12) + sqrt(210)\/sqrt(490))\/(sqrt(147) - 1*sqrt(147)*1 - (2*sqrt(147)*2 + sqrt(147) - sqrt(147))).\nAnswer: 3*sqrt(7)\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 206 in ascending order.\nAnswer: -3, 5, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19666, 42009, 102656, 220759, 415470?\n\"Answer: 3192*l**3 - l + 16475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 645441\/((-6)\/(-2)). Suppose -y = 4*u - 349992, -5*y - d = -2*u - 1965149. Round y to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 3 = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n - 15. Let r(c) = -6*c - 44. Give 4*r(g) - 11*z(g).\nAnswer: -2*g - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8804 times 32?\nAnswer: 60.1728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 1 = -h + 8, 5*h + 9 = -3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 1. Let k be s(0). Let g be (3 - 1)\/(k\/(-2)). Let o = 1936 - 1931. Solve -o*p + 2*t - 4*t = -1, g*t = -8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230485 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 196 = -3*v. Let f(i) = 11*i + 496. Let o be f(-40). Let u = o - v. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33620, -67352, -101082, -134810?\nAnswer: -168536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 286.98 + -252.48. Which is smaller: -1\/4 or c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/10 (b) -2.1 (c) -5 (d) 1\/12 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 212 - 208. Suppose -2*m + 16 = u + u, -r*m + 4*u + 32 = 0. Let h(a) = a**3 - 8*a**2 - a + 9. Give h(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3930 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 216*g**2 + 4*g + 142. Let h(a) = -19*a. What is k(h(o))?\nAnswer: 77976*o**2 - 76*o + 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 14*x**3 - 16*x**3 + 8*x**3. Suppose -3 + 1 = -2*d. What is q(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f - 4. Let v be c(3). Let l(u) be the third derivative of u**5\/12 - u**4\/12 - u**3\/3 + u**2. List the prime factors of l(v).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 27578.\nAnswer: -17\/27578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 6*r**2 + 4*r - 4. Suppose -2*g = -0*h - 2*h - 18, 5*g - 41 = 4*h. List the prime factors of s(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**2 + 30*c - 137. Let x be s(28). What is the highest common divisor of 603 and x?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1\/7, -5, 1485.1, 213, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(49151*c + 47407*c - 164553*c + 57221*c).\nAnswer: 10774*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*p - 86 + 58 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven thirds of a week?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 68 = -5*l, -l = -4*l + 3. What is the remainder when 39 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.6 - -13. Let v = i - -2.8. Let a = 2.252 - v. Round a to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1870)\/(-165) + 30\/(-3). Suppose 8\/3*f**2 - 10\/3*f + a - 2\/3*f**3 = 0. Calculate f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -10708?\nAnswer: -10707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5227111 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/5 + 72*d**2\/5 + 267*d\/5 - 306.\nAnswer: 3*(d - 3)*(d + 10)*(d + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*p + 66. Let t(h) = -h**3 + h**2. Let k be t(0). Is k <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4, 0.2, 1\/6, -0.13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eaae when four letters picked without replacement from {e: 2, a: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 99 * -0.1.\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.012, -1\/2, -14 in ascending order.\nAnswer: -14, -1\/2, -0.012, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44282890 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(-6\/13)\/j)*j**18*j assuming j is positive.\nAnswer: j**(279\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 4, 0*g = 3*s + 3*g + 126. What is s rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 6. Suppose b - r - 66 = 2*r, b = -3*r + 90. Suppose 0*o - b = -3*o. Solve a*s + 11 = o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423932732.\nAnswer: 2, 105983183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-2\/5)*i)\/i)\/i)\/(i\/((i\/i**(4\/9)*i)\/i))*i**(-4)\/i**(-4)*(i**(-1\/5)\/i*i*i*i*i**(1\/2)*i)\/(i*i**(-3)*i*i**(3\/4)*i) assuming i is positive.\nAnswer: i**(127\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/7 (b) 26 (c) 0.3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 28034376*-0.3\nAnswer: -8410312.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46.737 * 83.\nAnswer: 3879.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 73*q**2 - 108*q + 77. Calculate z(1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-416)\/320*(-7 + -3) + -46?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*(sqrt(208) + sqrt(208) + -1) - (4 + sqrt(208) + 6*(sqrt(208)*-3 - sqrt(208))))**2.\nAnswer: -176*sqrt(13) + 25172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 39 + (200 - 215) - 119?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*s + 94, -114 = -2*r - 0*r - 3*s. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2565912 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69709.\nAnswer: 69709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 129, -2\/7, -1, 3\/8, 3?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 494 + -271. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5432 and 2.37?\nAnswer: 5429.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -8*i - 4. Let r(b) = b + 1. What is 2*n(m) + 12*r(m)?\nAnswer: -4*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75182151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1518244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + g = 0, -g + 6 = g. Is -2\/387 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.081 not equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017\/(-2373)*(-8)\/(-6) - (-5 - 5800\/(-1316))?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**5 + 13989*u**4 + 27987*u**3 + 13995*u**2.\nAnswer: -3*u**2*(u - 4665)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -4, -1021, -0.3, -1\/3 in decreasing order.\nAnswer: -2\/11, -0.3, -1\/3, -4, -1021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 2:45 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -x + 4*n, 3*x - 31 = -2*n + 9. What is the highest common divisor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvf when three letters picked without replacement from ugfbdgvdugfuf?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 174, 260, 348, 444, 554, 684, 840?\nAnswer: 1028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**2 + 891. Let n(f) = -182*f**2. Give n(y(r)).\nAnswer: -728*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/4 + 2 - (-68)\/16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 2*k**2 + 54*k - 2. Calculate the remainder when d(6) is divided by (-1)\/(-2)*(18 + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + s - 1. Let x(v) = 4*v**2 - 5*v - 13. Let b(y) = -5*l(y) + x(y). Let k be b(-9). Let -z**2 + z**2 + z**2 + k + 2 + 4*z = 0. Calculate z.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5082) - 1*sqrt(5082) - sqrt(5082))\/sqrt(2))\/(sqrt(75) - ((sqrt(75) - -3*sqrt(75)*5 - sqrt(75)) + sqrt(75)) - sqrt(75))*3.\nAnswer: 33*sqrt(7)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u - 2*u - 70*u**3 - 6*u**2 - 6*u.\nAnswer: -70*u**3 - 6*u**2 - 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4133 (base 5) in base 6?\nAnswer: -2303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8\/2657 + -332029\/31884. What is the common denominator of y and (-6)\/18 - 458\/(-24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20 (b) 3\/2 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 3935 + 957. Let n = -7229\/6 - v. Let g = -1468\/549 + 14\/61. Calculate the common denominator of n and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 481, 486, 503, 538, 597, 686, 811?\nAnswer: 978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 5:38 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1015 + -851. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 * 673.2858.\nAnswer: 18178.7166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 18\/12)*(-34)\/5. Let l(g) = g**3 - 18*g**2 + 20*g + 7. Let v be l(a). Let b = v - 58. Solve -n + o + 11 = -5*n, b = -2*n - 3*o - 13 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f - 18*f + 16*f**2 + 3 + 4*f - 4 - 18*f**2 as b + z*f + q*f**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 13*j**2 + 12*j - 2. Let x be c(-12). Let f be -5 + 7 + 4*x. Is 12 a factor of 4\/((-2)\/(1*f))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17612468 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(11\/5)*z\/(z\/(z*z**(-7)\/z*z*z))*(z**(-2\/43)*z)\/z*z\/(z*z**(-5)*z) assuming z is positive.\nAnswer: z**(248\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -91\/3. Find the common denominator of k and ((-3)\/(-4) - 1)*41.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76161 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*j - 80*j + 0*j.\nAnswer: -61*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 559 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55055515.\nAnswer: 5, 11011103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 0.0503?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((44\/(-15) + 3)*24)\/((-14)\/(-315) + 0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157544 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 203, 231, 279, 353, 459, 603, 791, 1029?\n\"Answer: s**3 + 4*s**2 + 9*s + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -312*l. Let b(g) = -9 - 19*g + 22 + 23 - 36. Calculate b(h(s)).\nAnswer: 5928*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98\/5 - 2\/5*r**2 + 28\/5*r = 0. Calculate r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 351 and 8541?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 988 = -2*s. Let d be -1 + s + 2 + -4. Let f be d\/(-2*2\/251200). What is f rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-35)\/2)*(-13)\/13.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*u - 15. Let w = u + -7. Suppose 0 = w*i - 4*i - 4. Let o(j) = -j - 2. Give o(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 17*o**2 - 491*o - 9. Let h(d) = -20*d**2 + 490*d + 11. Give -6*c(l) - 5*h(l).\nAnswer: -2*l**2 + 496*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3462419119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14317513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1243.682 and 2.\nAnswer: -2487.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.640371773 rounded to 3 decimal places?\nAnswer: -2.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 - 79. Let j = -4 + 8. Suppose -f - f + 16 = 4*a, f = j*a - 4. What is the highest common divisor of o and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 43*u - 66 - 22 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*u**3 - u**3 - 4*u**3)*(-23*u + 8 - 8) as w*u**4 + a*u + m*u**2 + z + b*u**3 and give w.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((540\/945)\/(20\/(-42)))\/((-21)\/(-980))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**2 - 9*o + 21. Is c(-7) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 247855 and 5218.\nAnswer: 495710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o - 1. Let a(c) = 3*c**2 - c + 1. Let v be a(o). Suppose g + v*g = 40. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeoeeeeoleleel. What is prob of sequence eo?\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1342 and 737?\nAnswer: -989054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.833697 to 1 dp.\nAnswer: 30.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/3, 8, -2011?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) 1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -2\/13, -1, -0.4, -3\/4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {n: 1, h: 1, m: 3, j: 1, i: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z = -33*z + 14355. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2. Let a(b) be the third derivative of -97*b**4\/4 - 26*b**2 + b. Give q(a(u)).\nAnswer: -338724*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i + 53 + 13 = 2*q, 35429*i - 35427*i = -q + 47 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14155022 and 196.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.03, -3, -17?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -17002.26 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -5 + (-12 - -19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5 + 34165.\nAnswer: 34166.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.7, 838, 0.2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*h - 5*s = -1035, -4*s + 1372 = -4*h. Let f = 463 - h. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4\/3*x**4 - 32*x**2 - 128\/3*x - 64\/3 - 32\/3*x**3 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5 + -2*((sqrt(5) + sqrt(5) + 0)*4 - sqrt(5))) - sqrt(50)\/((sqrt(60)*1)\/sqrt(6))*6*-2)**2.\nAnswer: -2720*sqrt(5) + 23520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 5:36 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-711)\/150)\/(2\/8). Let s = -11947\/700 - t. Let p = s - 15\/7. Do 1 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37155560 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 289*j**2 - 696*j**2 + 408*j**2.\nAnswer: j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -109088*h. Let o(k) = 10909*k. Determine 2*g(s) + 21*o(s).\nAnswer: 10913*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 21\/18*3\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 not equal to 0.02888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.5 + 15.7. Is x equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.51 + 0.31. Let d = v + -0.32. What is the smallest value in d, 0.3, -5\/6, 0.2?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/52)\/(42126\/(-4641))?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*j**3 + 8*j**3 - 7*j**3)*(j + 5*j - j)*(-4 + 1 + 2).\nAnswer: -105*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128180 and 5220.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_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 n be -5*(2 + 1\/(-1)). Let p = n + 6. Let l(w) = 4*w**3 - 1. Let r be l(p). Solve -21 = -4*c - v, -c - 2*v + 26 = r*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + (-4)\/(-5))*50\/4. Determine y so that -13*y**2 - 2*y**4 + 7*y**3 + 5*y**3 + o*y**2 - 4*y - 4*y**5 + y**2 = 0.\nAnswer: -2, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 169*a - 835. Let l be r(5). What is the fifth smallest value in 14, 0.2, -2\/15, 4, l?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4971526940 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132)\/(-1392)*(-1464)\/(-2013).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5136*h**2 - 1403*h + 1 wrt h.\nAnswer: -10272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z**2 - z**2 + z**2 + (3 - 5 + 0)*(5 + 4*z**2 - 5))*(-z - z + 4*z) in the form w*z**2 + c*z + r*z**3 + f and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 11:10 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*i - 3. Suppose 5*y - i = 27. Suppose y = -3*g + 51. Calculate the remainder when 43 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 16. Let p(q) be the third derivative of -1\/30*q**6 + 0*q**g + 0 - 1\/105*q**7 + 0*q - q**2 + 1\/6*q**4 + 1\/3*q**3. Determine w so that p(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {y: 2, n: 17}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 134337630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*i - 850401, 3*i + 382*f - 383*f = 510242. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/3656 and (-4092)\/(-930)*1*(-165)\/(-36)?\nAnswer: 10968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2192724789 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2132 (base 4) to base 3.\nAnswer: 12212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*o = 1492, 13*v - 12*v + 2*o = 749. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -7*c**2 - 3*c + 10. Is o(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 38\/4 + -3 - (-4)\/(-8). Let g(s) = s**3 + 6*s + 4. Let k be g(5). Suppose -k + 39 = -m*j. Solve -5*n = -0*n + j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*r = -2*h + 6, -16 = 4*r. Let b = 18 + -10. What is the remainder when 14 - h - (1 - 0) is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.01 - -10.009995224. Round q to seven decimal places.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r = 0. Let i(k) = k**3 - k**2 + 4. Let h be i(r). Find the third derivative of 5*v**4 + 2*v**h - v**2 - 6*v**4 - 5*v**4 wrt v.\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 10*j**2 - j - 6. Let i be z(-10). Suppose -b + 2*b = 0. Sort 1, i, b in descending order.\nAnswer: i, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 3 (c) 0.8 (d) -0.5 (e) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2552 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((-9)\/(-12)) - -8. Suppose 4*b + 4*w = -j - 12, -20 = 2*b + 5*w. Suppose -5*h + 4*t + 26 = b, -12 = 5*t - 2*t. Solve -10 = 3*n + h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25482713*m**2*s**3 - 8*m**2*s**2 + 37*m**2*s + 28*m - 77*s**2 wrt s?\nAnswer: -152896278*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from jfffjssfffsjg?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 3, 6, 11, 18, 27, 38?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 2*i**6\/15 - 51*i**5\/10 + 143*i**4\/3 - 92*i**3 - 216*i**2 - 2*i + 674. Let g(y) = 0. Calculate y.\nAnswer: -1\/2, 2, 6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 16157764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 4:36 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/6, 5, 373, -0.2, -3\/8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*n + 227*n - 2842 + 202 = 0 for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8017130*p**3 + 10*p**2 + 11*p - 10.\nAnswer: 48102780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -30. Calculate the greatest common factor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6920, 13830, 20740, 27650?\n\"Answer: 6910*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17872911299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024549 millilitres in litres?\nAnswer: 0.000024549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1) + (6 - (-8 + 13))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.078912288 + 4?\nAnswer: 8.078912288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is -15642 (base 7) in base 12?\nAnswer: -26a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(57)*3*4 + sqrt(57) - sqrt(57))\/(sqrt(3) + (sqrt(3) - -4*sqrt(192))) + -1)**2 + 4.\nAnswer: -48*sqrt(19)\/17 + 5048\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 2*h**3\/3 + 14*h**2 - 28*h - 206. Let u be s(-15). What is n in 0 - 2\/5*n**3 + 0*n**u + 2\/5*n = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 37 = 47 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 + 33. Let p = -2 - -5. Let h(g) = 14*g + 3*g - 3*g**2 - p*g + 0*g - 23. Let o(k) = k**2 - 5*k + 8. What is a*o(f) - 6*h(f)?\nAnswer: f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 5*u + 5*u)*((-3*u - 3*u + 4*u)*(4*u + u - 4*u) + 48*u**2 + 13*u**2 + 10*u**2)*(-1 - 1 + 0).\nAnswer: -276*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 at most as big as 191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99738695 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45\/60*2*(-4)\/12. What is the third smallest value in 5, t, 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 26 - 18)*-6*(-6)\/(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 + 5237613.2.\nAnswer: 5237627.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 6*d + 3*d)*(-27*d + 2*d + 51*d) + (0*d + 3*d - 2*d)*(0*d - 2*d + 4*d).\nAnswer: -50*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g**3 + 9*g**2 + 76*g + 433. List the prime factors of h(-6).\nAnswer: 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 + w**4 - w**2 + (-26*w**4 + 14*w**4 - 22*w**4)*(7 + 3 - 3) + (3*w - 2*w**3 - 3*w)*(-6*w + w + 3*w).\nAnswer: -233*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.069mm in kilometers?\nAnswer: 0.000123069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4187341307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2429, -4850, -7271, -9692, -12113?\n\"Answer: -2421*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*d**4 + d**3 + 10*d**2 - 4 wrt d?\nAnswer: -1152*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2811 is divided by 127.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 68*p**3\/3 - 8*p**2 + 20. What is the second derivative of c(n) wrt n?\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15a00b (base 13) in base 2?\nAnswer: 10000010111000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(3240) + sqrt(3240))*-2)\/(((sqrt(64) + sqrt(64) + 1*sqrt(64) + sqrt(64))*4)\/sqrt(8))*-1*5.\nAnswer: 45*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g + 3*g + 1 + g. Suppose 5*y - 9*y - s = 8, 0 = -5*y - 5*s + 5. Give x(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72*f**2*g*z**3 + 2*f**2*g*z**2 + f*g*z**3 + 3*f*g*z**2 - 14*g*z wrt z.\nAnswer: 432*f**2*g + 6*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2226620 (base 7) to base 16.\nAnswer: -43670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -8*a + 56. Let j be v(25). Let c = j - -152. Solve 4*l = -0*l - c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7907850?\nAnswer: 2, 3, 5, 17573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 5 - 151 - 48 + 232.\nAnswer: -i + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. Let z be (-4)\/26 + 392\/182. Let x = 0.7 - -4.3. What is the second smallest value in f, z, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-18)*1*-12. Suppose -16*b - c*b - 180 = 0. Let g(o) = -o**3 - 10*o**2 - 9*o - 7. What is g(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12\/35, 0.3, 0.16, -2\/37, 2\/17, -2\/495?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4938 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, d: 1, p: 3}. What is prob of sequence pdpp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 7:47 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 4)\/(2 + 6\/(-4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 110 - 165?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6 = j, 3*r + j + 84899998 = 0. Round r to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 + 116. Let l(f) = 87*f - 1. Let y be l(2). Let h = y + -151. What is the remainder when a is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.478 * -40\nAnswer: -19.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13, -17, -21, -25, -29, -33?\n\"Answer: -4*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7913144 is divided by 293079?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1167822 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - (17 + 19 - 9 - 23)) + -155?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-10)\/(-3)*18\/5 and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 49*q - 2. Let o be t(-1). Let i = -32 - o. Factor i - 19 - 6*x**3 + 6*x - 3*x**4 + 3*x**2.\nAnswer: -3*x*(x - 1)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/24 + 9\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460930719.\nAnswer: 3, 37, 4152529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -9*x**4 - 6*x**3 + 9*x**2 + 3*x. Let k(j) = 25*j**4 + 17*j**3 - 25*j**2 - 9*j. Let f(q) = 8*a(q) + 3*k(q). Factor f(p).\nAnswer: 3*p*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0429 from 1672945.\nAnswer: 1672944.9571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 + 0.57. Let j = 0.5 - s. What is the closest to -1\/4 in 3, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69*f**4 - 270*f**3 - 24*f**2.\nAnswer: 3*f**2*(f - 4)*(23*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 43 = -5*a, 5*a - 46 = -11*z + 13*z. What is the tens digit of ((-63)\/6 + a)*-482?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -22. Suppose 263 = 3*f + 11. What is the greatest common factor of f and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 24*s + 9. Let d be j(-7). Let w = -1907\/12 - d. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5 = 4*p - 4, 0 = 2*u + 10. Suppose 0 = z - 3*z + 8. Calculate the remainder when ((-6)\/z)\/((-6)\/8) is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o + 2*o - 90 = 0. Suppose o*v - 2*v = 0. Sort 5, 8, v in ascending order.\nAnswer: v, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 4. Let n = 0.3 + 0. What is the nearest to -0.2 in -5, c, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, l: 3, o: 4}. Give prob of picking 1 l and 2 o.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6622188 (base 10) in base 15?\nAnswer: -8ac1e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/617 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232204 = -9*j + 449429. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3400767?\nAnswer: 3, 379, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -3, -178 in descending order.\nAnswer: 14, -3, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 7*z - 4. Let b be v(6). Let t(h) = 0*h**b + 4*h - h + 4 - h**2. List the prime factors of t(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/100*15\/12\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 q when three letters picked without replacement from {q: 10, t: 2, w: 4}.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*(-11)\/(1430\/23985) + -25\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18512.\nAnswer: 2, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35845283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 134333689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8396861 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1681, -45, -1, -2, 3 in decreasing order.\nAnswer: 1681, 5, 3, -1, -2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2091344*o**4 - 2*o**3 + 3*o**2 - 590249*o - 17 wrt o?\nAnswer: 25096128*o**2 - 12*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7304 - 4799. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -676 - -2\nAnswer: -674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 137963\/15128 + 10\/1891. Find the common denominator of t and (-36)\/14*(-833)\/340.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 250171 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 5*l + 20, -l + 8 = -5*c + l. Let t = 0.14 + 0.16. Let y = -4 - -6. Sort y, c, t in decreasing order.\nAnswer: y, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.046527616 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1605563879 - 0.4.\nAnswer: 1605563878.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 7 + 43. Is c < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 13) to base 14.\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/3*(-50)\/(-675)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5609.043 millennia in years?\nAnswer: 5609043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**3 + 17*z**2 - 23*z + 3. Let r(d) = 8*d**3 + 38*d**2 - 49*d + 7. Let a(m) = -5*p(m) + 2*r(m). What is a(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 591*w + 8. Let y(s) = -2. What is 3*d(p) + 12*y(p)?\nAnswer: 1773*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/70)\/(3588\/260).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 t when four letters picked without replacement from {e: 8, t: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = -6*z + 726. Let u = -977\/5 + z. Let v be 5*(32\/(-140))\/4. What is the closest to 2\/7 in -3\/5, u, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -18750*(4\/(-10))\/(14\/3920). Round x to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*l**3 + 0*l**2 + 0*l**2.\nAnswer: -83*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 5*a - 10, 5*a - 6 = 3*q + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 251096291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -14*m**2 - 8. Let v(j) = -j - 4. Calculate a(v(t)).\nAnswer: -14*t**2 - 112*t - 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -1. Suppose n - 15 = 6*n + 5*z, -5*n = -4*z - p. Suppose -4*j + 10 = -2. Solve -n*x = m + j, x + 4*m = 5*m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 13*d + 94. Let x be s(-7). Let t(w) = -11*w**2 - 5*w - 7. Let y(p) = 5*p**2 + 2*p + 3. Give x*t(b) + 7*y(b).\nAnswer: 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5143 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9079922 (base 10) in base 16?\nAnswer: -8a8c72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 = 40*m - 63*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -189988 + 28386415.\nAnswer: 28196427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 5*x - 6104 + 6089 = 0, 13*q + 5 = 6*q + 5*x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-2)*22\/(-44).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.881 + 0.3?\nAnswer: -27.581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide (-5)\/(-15) - (-59992)\/15 - 5\/(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136518, -273049, -409576, -546099?\nAnswer: -682618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7357*w - 70 + 7357*w + 70 + 4*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pupppppp. What is prob of picking 1 p and 1 u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*b**4*r**2 + 3*b*r**2 + r**2 + 16*r wrt b.\nAnswer: -44*b**3*r**2 + 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**2\/4 + 5574*b + 31069476 = 0?\nAnswer: -11148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -1225*z + 35*z**2 - 1\/3*z**3 + 69. Factor i(n).\nAnswer: -(n - 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 616*f**2 + f + 4263 wrt f.\nAnswer: 1232*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 64*w**2 + 62*w - 109. Calculate l(63).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-116)\/(-42)*(-2)\/((-936)\/91). Is 2 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 3*t**2 - 3*t**2)*(-309*t**2 + 541*t**2 + 1823*t**2).\nAnswer: 4110*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14082110?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 1. Let g(b) = 3*b**2 + 3*b + 3. Let k(s) = -g(s) + 3*n(s). Let l be 1\/(-2)*-6*1. Let v(d) = l*d - 3*d + 2*d. Give v(k(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + y - 1. Let v be l(0). Sort v, 4, 5, -5.\nAnswer: -5, v, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1982, -2598, 74 in increasing order.\nAnswer: -2598, 74, 1982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**2 - b + 1. Let g(c) = 9*c**2 + 9*c + 16. Let d(r) = 2*f(r) - g(r). Give d(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/4, -16\/41, 333.4?\nAnswer: -16\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2699000 to the nearest integer?\nAnswer: 1643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*v + 1 - 6*v + 6*v)*(3 + 1 - 2)*(-9*v - 20*v - v) to the form u*v + a + q*v**2 and give q.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 172 + -158. Solve -w = 3*x - 0*w - 7, j = 4*x - w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863319?\nAnswer: 3, 31, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101010001111 - 1010010011001101?\nAnswer: -110101000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -y - 84. What is the lowest common multiple of 27 and y?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*h = -60*h + 1582 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80161 is divided by 263.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 0*s. Suppose h - v - 3 = 0, s = -2*h - 0*v - v + 21. Let b be (h\/6)\/((-6)\/(-27)). Solve -3*d + b = -6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4 - 2400 = -j, -4*j + 9628 = -3*n. Is j a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 6:54 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123.65 + -124. Let d = c - -5.35. What is the second smallest value in d, -11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -73*m. Let q(h) = 147*h. Suppose -17*o + 29*o = -59*o - 213. What is o*q(k) - 5*w(k)?\nAnswer: -76*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450*g - 445*g + 30 = 0, -4*m + 83528 = -4*g. List the prime factors of m.\nAnswer: 2, 17, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**6\/240 + 7*h**5\/120 + h**4\/6 - 4*h**3\/3 + 14*h**2. Suppose q(x) = 0. What is x?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**5 + 7025*f**4 + 299845*f**3 + 578635*f**2 + 285810*f = 0 for f.\nAnswer: -1361, -42, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 62*r**2 - 759*r + 251. Give o(-45).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-177 + 166 - (-1 + -9) - 0)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/((j**1*j)\/j*j*j))\/j)*j\/j**(-1\/3)*j)**50 assuming j is positive.\nAnswer: j**(950\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + 33*f + 10*f + 13*f in the form t + j*f and give j.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 15 = 3*v, 5*v + 4*x - 51 + 71 = 0. Which is the nearest to 1\/2? (a) 3 (b) -3 (c) v (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, s: 1, r: 2, q: 7, n: 4}. What is prob of sequence rn?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41 or 32?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9, 53, 119, 207, 317, 449?\n\"Answer: 11*d**2 + 11*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.99 + -8.01. Sort -5, 1\/3, p, 5 in descending order.\nAnswer: 5, 1\/3, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, -3.2, -1\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -16367\/15 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20219344 and 100206.\nAnswer: 181974096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 4:46 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 25 - (5 - 0 - 6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28145863 minus -105?\nAnswer: 28145968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/20*96\/((-72)\/(-9))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**4 - 4880*l**3 - 1987776*l**2 - 271649728*l - 535387328.\nAnswer: -4*(l + 2)*(l + 406)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 968, 10, 0, -3 in increasing order.\nAnswer: -3, 0, 10, 968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30538 + 30537.977163. What is y rounded to 3 decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/7 < -10.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 2*j + 100, -j + 5*f - 230 = 2*f + 3*f + 5*f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 103484041?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/414 and 59\/414.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 74\/3 (c) 3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18029045*h**2 + 9014516*h**2 + 8*h**3 + 9014529*h**2.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*x + 62*x - 22627. Let f = x + 336. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261*66\/186615*15.\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**6\/15 - d**5\/20 - 41*d**4\/12 - 10*d**3\/3 + 762*d. Solve f(p) = 0 for p.\nAnswer: -4, -1\/2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 25 = 5*f, 11 = f - 5*w + 4*w. Suppose f*p - 8 = 2*p. Let c(y) be the second derivative of -2*y**3\/3 + 3*y**2\/2 - 478*y. Determine c(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.14 or 23\/25316?\nAnswer: -1.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -28904*g**5 + 231233*g**4\/2 - 2*g**3 = 0.\nAnswer: 0, 1\/57808, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - 3. Let i = h - -33.5. Let u = 0.8 - 0.83. Put i, -3\/4, u, -2\/11 in ascending order.\nAnswer: -3\/4, -2\/11, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65208 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x + 30. Calculate a(-20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**7\/2520 - l**6\/360 - l**5\/20 + 13*l**4\/3 + l**3\/3 + 116*l. Let f(g) be the third derivative of z(g). What is f(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 4:15 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c. Let v(u) = -113*u**2 - 4*u + 4. Let a(q) = -33899*q**2 - 1199*q + 1199. Let t = 1186 + 13. Let m(i) = t*v(i) - 4*a(i). Calculate m(f(w)).\nAnswer: 436*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/3*9\/(-6). Sort 4, 0, c in decreasing order.\nAnswer: c, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, a: 1, w: 6, j: 3}. What is prob of picking 2 w?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-9) + -3 + (-4)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1046953\/55 - 19035. Find the common denominator of y and (-2728)\/(-1395) - (-4)\/(-12).\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5770 divided by -1154\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 20*h - 913 + 163 = -9*b, 5*b + 181 = 4*h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**3 - 3*i**2 - i + 32. Give j(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by 8\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 + 5323515*v**3.\nAnswer: 3*v**3*(v + 1774505)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 11:27 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4214\/5 + -843. Is p >= 0.33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66.7 - 67. Let g be 0 + -3 + 2 - 0. Let u be (g\/(-4))\/((-18)\/8). Which is the second smallest value? (a) -1\/3 (b) z (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4087634 divided by -3\nAnswer: 4087634\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 10360 - 52*l**2 - l**3 - 20716 + 10353 as q*l**3 + h*l**2 + g*l + n and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1953 is divided by 150.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4.5, -570, 2, 1\/2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 9:16 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*l - 190 + 1342. Calculate the remainder when (-692)\/(-10) + 1\/(-5) is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -181450680 by 3128460.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 202438525 and 9430?\nAnswer: 4715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/(((-30)\/(-24))\/(-5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 8) to base 5\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11205 and 12390.\nAnswer: 9255330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 365667805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 682 - 672. Suppose -v = 5*z, -3*y + 24 = y - 2*z. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/8)\/((-3)\/(-72)). Let a = s - -25. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 - 2*o**3 + 3*o**3 + (-8544 + 8544 + 93*o)*(46 + 4*o**2 - 46).\nAnswer: 371*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*f - 6*f**2 - 40*f + (2 - 2 + 4)*(-f**2 + 2*f**2 - 3*f**2).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1. Suppose -3*y + g*k + 0*k + 86 = 0, -4*y + 114 = -5*k. Let q be -1 - y*1\/(-2). Solve 0 = o - 2*u - q, -o = 2*o - 4*u - 26 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 m when four letters picked without replacement from zhmrzmzvzmvmhz?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 87*s**2 + 10083*s - 1058. Determine v(-116).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6034*v**2 + 12132*v**2 - 6178*v**2.\nAnswer: -80*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 24*h**2 + 2*h - 7. Calculate q(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 0.2, 46\/3, -7 in decreasing order.\nAnswer: 46\/3, 0.2, 2\/21, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.613425 and -1?\nAnswer: 3.613425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 47*h - 17958 = -28*h. Calculate the greatest common divisor of 12 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -31642b58?\nAnswer: 31642b57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 9*b - 7. Suppose -w = -4 + 10. Is 11 a factor of n(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0024775 rounded to 4 dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 755473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 1886212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-1\/12)\/t))\/t)**(2\/77)*(t**8)**(-27) assuming t is positive.\nAnswer: t**(-99779\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) + -1*1*sqrt(1300) + sqrt(1300)*1 + -5 + sqrt(1300) + sqrt(1300).\nAnswer: -5 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 757, 3082, 6971, 12424, 19441, 28022?\n\"Answer: 782*m**2 - 21*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -515 - -1402?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16576\/(-518) + 258\/8. Let t = -8.17 - -0.17. What is the closest to 2\/5 in m, -1\/9, 0.5, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -237, -2 in descending order.\nAnswer: 15, -2, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*p**2 - 39 + 4*p + 7*p**3 - 6*p**3 + 3*p**3 + 18 + 12*p**2 in the form n*p + b*p**2 + m + j*p**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 3, 6, -5, -16 in descending order.\nAnswer: 6, 3, -3, -5, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 49017, 50202, 51387, 52572, 53757?\n\"Answer: 1185*q + 47832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27300 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -119118\/7 + 17064. Let i = 47 - u. What is the common denominator of -107\/176 and i?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -45 (b) -2\/7 (c) 0.1 (d) 70.2 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/15 of a day?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 293199 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.889 + 3.789. Which is bigger: q or 0.632?\nAnswer: 0.632","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**5 - 3*k**4 + 3*k**4 + (0*k**5 - 4*k**5 + 6*k**5)*(171 + 87 + 47) + (2 - 2 + 2*k**3)*(k**2 + 3 - 3) + 44*k**5 + 5*k**5 - 7*k**5.\nAnswer: 656*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.53 - -2.73. Suppose 3 = -5*h - 2. What is the nearest to 1\/7 in d, -3, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 116\/87*45\/2. What is the greatest common divisor of s and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 98 = -155*f + 72*f + 36, 0 = 4*n - 64 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 1 + -1 + 16. Suppose 21*n + 31*n = -11*n + 5040. What is the highest common factor of a and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4 = 8. Suppose 0*q + 3*q - 3*f = 0, -v*q + 8 = -2*f. Solve -y + 9 = -q*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372719.\nAnswer: 372719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 985930 is divided by 109547.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -80238 (b) 0.4 (c) -7 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 338948 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 2:45 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 11 + 19)*(-3*d**4 + 2*d**4 - d**4 + (-1 - d + 1)*(-3 - d**3 + 3) + 5*d**4 + 0*d**4 - 6*d**4).\nAnswer: -26*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/243 and 26\/114345.\nAnswer: 1029105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81804?\nAnswer: 2, 3, 17, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 0. Suppose 0 = 2*c - w*c. Suppose c*d - 16 = -d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*u, -3*u = 3*m. Suppose -3*f - q + 25 = m, q + 25 = -4*q. What is the highest common divisor of 30 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/87 (b) -0.2 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -159337 - -0.5\nAnswer: -159336.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**4 - 92875*i**3 - 278535*i**2 + 835715*i - 464300 = 0.\nAnswer: -18572, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2437 + 0*u**2 + 50*u**2 + 2147 - 1295*u - 5*u**2.\nAnswer: 5*(u - 29)*(9*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b - 2*b - 2*b**2 + b)*(8*b - 2*b + 0*b) to t*b**2 + s + q*b + h*b**3 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 30 times 2365\nAnswer: 70950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -8 (c) -6 (d) -27.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24849 greater than 24837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/4 - (-5)\/4. Let v(k) be the first derivative of -1 - c*k**2 - k**3 + 0*k. What is the second derivative of v(w) wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/37538, -0.2, 0.4, -3 in ascending order.\nAnswer: -3, -0.2, 3\/37538, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, z: 1, t: 1, w: 1, q: 1}. What is prob of picking 1 a and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1)**(-26))**24 assuming k is positive.\nAnswer: k**(-624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2 + 662*q + 20104 = 0. What is q?\nAnswer: -28, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**1\/(i*i**0*i)*i**1\/i**(-4) assuming i is positive.\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -167 + 171. Let s be (2\/b)\/((-6)\/(-48)). Solve s*j = 5*c - 2, 2*c + 0*j + 19 = -5*j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1 = 11. Let s = 8 - 7.97. Let o = 0.03 - s. Which is the nearest to o? (a) l (b) 0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0654 * 0.04.\nAnswer: -0.002616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2003 + -1169. Let v = y - 967.4. Let a = -121 - v. Round a to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39994842*q**6 + 7*q**2 + 901192*q?\nAnswer: 4799381040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i - 4 + 2 - i**2 - i**2. Let d(y) = y**3 + 6*y**2 + 3*y - 1. Let b be d(-5). Suppose 9*u + b = 6*u. Give k(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 + 0)*(-3*g**4 + 0*g**4 + 4*g**4)*(-2*g + 2*g + 2*g).\nAnswer: 12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14028.\nAnswer: 2, 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 2 + (2 - 0). Let r(h) = -h**2 + h - 20. Let k be r(g). Let n = -9 - k. Calculate the remainder when n is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 - 25*p - 36. Calculate the remainder when v(-7) is divided by 30.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from ktkf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2. Let g(j) = -1. Let c(r) be the third derivative of r**4\/24 - 19*r**3\/6 - 4*r**2 + 2*r. Let w(d) = -2*c(d) + 6*g(d). Determine w(f(m)).\nAnswer: 4*m**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*f = -2*k - 2, 5 = -f. Let t be 6\/k - 3744\/(-896). Let -3\/7*g**3 - 54\/7 - t*g**2 - 9*g = 0. What is g?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12*(-6)\/24)\/((166\/(-6972))\/((-1)\/(-2)))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, 5, 0, 12, 622, -2 in decreasing order.\nAnswer: 622, 12, 8, 5, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 8*f + 9. Let p be i(7). Suppose -14*n - p = -15*n. Suppose -4*o = -a - a - n, -3*o = a - 17. Solve -a*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (6 + (3 - 10) + 0)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11\/10 + 2\/5. Suppose 3*s**2 + 0 - a*s - 3\/2*s**3 = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + (15 - (-2 - 21))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 33856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -4*b - b. Let i = b + 33. Suppose -p + 6*p - 375 = 0. Calculate the highest common factor of i and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1880587*q - 6*q**2 + 1880587*q - 14*q**2.\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -205, -480, -885, -1432, -2133, -3000?\nAnswer: -4045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**5 - 17*x**4 + 22*x**3 + 68*x**2 - 72*x = 0.\nAnswer: -18, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - d**2 - d + 1162. What are the prime factors of t(0)?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**2 - 39*h + 176. Let d(a) = -6*a**2 + 38*a - 234. What is 3*d(m) + 4*x(m)?\nAnswer: 2*m**2 - 42*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/4 and 15\/340486.\nAnswer: 680972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1439 - 1232. What is the smallest common multiple of 36 and b?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/6 - 304765*j\/6 + 304763\/3.\nAnswer: (j - 304763)*(j - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1112120 (base 5) to base 11\nAnswer: 13853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 6:17 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -16, -0.2, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1\/3, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 401197367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 35 = -11*o. Let s(d) be the first derivative of 0*d - 2 + 6\/25*d**o - 3\/4*d**4 - 3\/10*d**2 + 4\/5*d**3. Find x such that s(x) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s + 1 = 0. Let g(t) = 7 - 3*t**2 + 2*t**2 + 5*t - 12 - s. Give g(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 6*y. Suppose y = 11*x - 8*x. Suppose x = 5*d - 10, 0*r = -r - 2*d + 5. Calculate the highest common divisor of 11 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 2935653\/77 - 120\/330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from ugejscs?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1969872*a**3 - 1342*a**2 + 6*a - 7?\nAnswer: 11819232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.903971 decades to years.\nAnswer: 59.03971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1781425 - 2513755. What is h rounded to the nearest 10000?\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o - 17*o - 189 = -43*o for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87 - i**3 - 4*i**2 - 7946*i + 7942*i + 5*i**2 to the form s*i**3 + j*i + u + l*i**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 41468.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -7.39?\nAnswer: -4.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/25)*c\/(c**1*c)*c*c)**19)**(-6\/23) assuming c is positive.\nAnswer: c**(-3078\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158838.\nAnswer: 2, 3, 23, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 222169 - 229145.948. Let j = 6958 + x. Let v = j + 19. What is v rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -3, -4, -37, -1\/7, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/264 and -115\/66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -129.7555 + -1.1545. Let j = -130 - h. Let f = j + -1.188. What is f rounded to 2 decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/21, 8, -167503 in decreasing order.\nAnswer: 8, 4\/21, -167503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -22, -12, 2, 20?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.48, -33, -0.03, 2 in increasing order.\nAnswer: -33, -0.03, 1.48, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80817 + 63283 = -11*x. What is x rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25601024 to the power of 1\/3, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111 - 44 - 33 + 26*p - 34.\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.54257 - 0.648124. What is z rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 2)*4\/8. Let j(i) = i - 5. Let b(v) = 0 - 22 + 21 - 3 + 5. Determine p*j(c) - 2*b(c).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4)*0\/(-13). Suppose c = 3*t - t - 4. Let m(s) = 8*s - 1. Give m(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1723*t**2 - 2117*t**2 + 1120*t**2.\nAnswer: -2720*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddj when four letters picked without replacement from {d: 13, j: 3}?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o. Let b(n) = -22*n + 17. Let l(m) = -b(m) - 6*j(m). Let x(d) = -d - 3. Let p(z) = -l(z) + 6*x(z). Let r(h) = 2*h**2. Determine r(p(v)).\nAnswer: 2312*v**2 + 136*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389*l - 37*l + 426*l - 4*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 689*l**3 - 1376*l**3 - 4*l**2 - 152*l**4 + 690*l**3 + 0*l**2 - 2 + 3*l**2 as c*l**2 + t*l**3 + n*l**4 + s + w*l and give n.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51*j**4 + 133*j**3 - 2*j**2 + 14394*j.\nAnswer: 1224*j + 798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17522 - -17554.0094. Let n = -22 - -54. Let y = q - n. Round y to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -53, -58, -65, -74, -85?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 217*f*i*r + 11*f*i + f*r + 8*f - i - 11*r + 1 wrt r.\nAnswer: 217*f*i + f - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 4:51 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 48528085*-0.3\nAnswer: -14558425.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/5 + 801\/(-15). Does 20 divide (-2)\/(((-6)\/n)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*i + 408*i + 17*i.\nAnswer: 470*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*s, 3*k = 4*s + 12 + 14. Suppose -6*y + 5*v = -k*y - 7197, 0 = y - 4*v - 1813. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1318906329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10731?\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 10*v + 10. Suppose 0*p = 3*c + 2*p + 18, -25 = 2*c - 3*p. Let l be r(c). Let x(t) = t**2 + 2*t + 8. Is 16 a factor of x(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -412a0b (base 14) in base 13?\nAnswer: -5bc102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 373913 smaller than 373913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 9*d - 1. Let q be f(-10). Solve i - q = 4*p, -4*p - 3*i - 1 = 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**2 - 39717112*h - 98590561601284 = 0. Calculate h.\nAnswer: -4964639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*b = 3*b - 1922, 2*z - 4*b - 950 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-1)\/(-2))*60\/(-135)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-1\/5)*a)\/a*a)\/a*a*a*(a\/a**(-2)*a)\/a*a*a)\/(a\/(a\/(a\/(a*a\/((a*a**(1\/4)*a)\/a))*a*a)))**(-1\/51) assuming a is positive.\nAnswer: a**(2667\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5738*-121.\nAnswer: 694298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 170, 1, 0.3, -294 in decreasing order.\nAnswer: 170, 1, 0.3, -294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -231, -432, -603, -738, -831, -876?\nAnswer: -867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1126202907.\nAnswer: 3, 29, 79, 163859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*j*m**2 + 174732906*j - 9869550*m**2 wrt m?\nAnswer: -18*j*m - 19739100*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70 + -2. Suppose -15 = -73*r + u*r. Let i(y) = -1 + 0*y - 7*y - 4 + r*y. Let t(q) = -q. What is i(t(d))?\nAnswer: 4*d - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 + 10462*u + 667345. Determine y(-65).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 43 = 5*d + g, -4*d + 36 = 2*g. Find the third derivative of d*v**3 - 3*v**5 + 0*v**5 + 31*v**2 + 5*v**5 + v**3 wrt v.\nAnswer: 120*v**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 b, and 1 t when four letters picked without replacement from {z: 6, w: 2, b: 2, t: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55441.38217 + -55441. Round u to 3 decimal places.\nAnswer: 0.382","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*y - 166 = -4*y, -3*y = 3*q - 234. Suppose -r = -5*u + 35 + 26, -4*r - 5*u - 294 = 0. Let t = r + q. Does 8 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2494 or 1439?\nAnswer: 1439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1065030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 2*g. Suppose -g*j - 2*j = -4. Solve -5*n = j + 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/10)\/((-33)\/220*5*(-48)\/126).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o - 417*o**2 - 659*o**2 - 580*o**2 - 5*o to the form g + l*o + f*o**2 and give f.\nAnswer: -1656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-671 + 2267 + 1946 + 551)*(-8*f**4 + f**4 + 0*f**4).\nAnswer: -28651*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + 1. Suppose 0 = -s + 2 - 4. Let v be p(s). Let w be 0*v\/12*-2. Solve w = 2*o + 13 - 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 576 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 80207 = 911. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1917345\/416 - 4609. Let g = 199\/3744 + p. Which is bigger: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 726 divide 158236782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a millennium in years?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/9)\/u*u)\/(u*u\/u**(-6))*((u*u**(-1))\/u)**(-16)*(u\/(u\/(u\/(u\/u**(-2\/25))))*u**(1\/6))**(2\/43) assuming u is positive.\nAnswer: u**(75289\/9675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2, 15, 56, 133, 258?\n\"Answer: 2*a**3 + 3*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 3)*((-4)\/14 - 42\/(-147)). Sort b, -17, -2, 4, 2 in ascending order.\nAnswer: -17, -2, b, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14550?\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -3 + (-1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-5))\/(2*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -8. Let n = -16 - w. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22479684 divided by 12.\nAnswer: 1873307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 6*n = -63. Suppose 4*g = 4*p + 1368, 4*g - 1373 = -8*p + n*p. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5116077563 from 54.438.\nAnswer: 5116077617.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.5 + 16.6709.\nAnswer: 9.1709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 14*j + 2*l, -33*l + 26 = 5*j - 32*l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-71131)\/2571 - 7\/3) + -9.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14001734 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l. Let v(n) = -2*n. Let d(z) = -4*f(z) + 3*v(z). Let g(a) = 6*a**2. What is d(g(h))?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.50937701 - 20272334\nAnswer: -20272334.50937701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*q**4 + 0*q**3 - 76760*q**2 + 0 + 77983*q**2 + 0 + 27*q**3 wrt q?\nAnswer: 168*q + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 5*w**2 - 13*w + 7. Let k = 62 + -69. Let i be b(k). Suppose -m + i*m - 2*r - 4 = 0, 6 = -2*r. Which is greater: m or 11\/4?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**3\/19 - 67348*i**2\/19 + 2019090*i\/19 - 15139800\/19 = 0.\nAnswer: 15, 33644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/((-50)\/(-4))*5. Let i be (a\/(-6))\/((-3)\/(-9)). Suppose 2 = 5*m - 3. Put 4, m, i in decreasing order.\nAnswer: 4, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11934\/43625 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k - 20*k + 5*s = 5, 2*k = -s + 13 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-39)*t**(-38)\/t)**50 assuming t is positive.\nAnswer: t**(-3850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 215 - 214.96. Which is the second biggest value? (a) m (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88 - -82) + (-1 - (-2 - 11)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a hour in seconds?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/4)\/(1\/6). Let q be 2\/5 - 112\/(-20). Let r = q + o. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 73154*l + 1170205. Give v(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54948533 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: Work out -0.19 * 1.4.\nAnswer: -0.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 936.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1095256 is divided by 1315.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 21\/3 - 4. Let h(j) = -2*j**3 + j**3 + 4*j**2 + 5 - 1. Is h(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.9 and -1.8835.\nAnswer: -0.9835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -181*h**5 - 720*h**4 + 2188*h**3 + 5744*h**2 - 11712*h + 256 = 0. What is h?\nAnswer: -4, 4\/181, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvm when three letters picked without replacement from {w: 1, v: 1, z: 2, j: 2, m: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24917 - -24921. Solve 24*m - 27*m + 12 = -3*i, -5*i - k = 3*m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2157*q - 2157*q + q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123703.\nAnswer: 103, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 77. Differentiate 0*j - u*j - 47 - j - 14*j wrt j.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12106728600.91 and -0.5.\nAnswer: -12106728601.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -9*w - 4. Let g be o(-2). Solve -5*v = -g - 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371 + 469 = -120*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*6\/66)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1361 is divided by 264\/(-21)*462\/(-132).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4758)\/2196)\/(1\/6)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1145, -9117, -30755, -72893, -142365, -246005, -390647?\n\"Answer: -1139*y**3 + y**2 - 2*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1737 - -1739.046. Let d = 55.954 - 56. Let a = b + d. Sort a, -4, 1\/7, 6\/5 in decreasing order.\nAnswer: a, 6\/5, 1\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -193702660671 + -4.\nAnswer: -193702660675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 2*l**3\/3 + 25*l**2\/2 - 5*l - 128. What is p(-11)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 249505.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -751*i**2 - 227554*i - 154. What is c(-303)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 + 2.7. Let z = -3.4 - m. Let u = 4 + z. Which is the nearest to 1? (a) 0.1 (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 92\/(-18) + (-4)\/(-24) and 17*(-5 + (-952)\/(-192)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (30\/9)\/(4\/138) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132878674 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjyjyjjjyjjyjj. What is prob of picking 4 y?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2) - 14\/4. Let v = -2 - f. Solve 4*z = 5*o - 41, 2*o + v*z - 14 = 3*z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxdxdxgdxcggddccggc. What is prob of picking 1 d and 3 x?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**4 - 4*j**2 + 5*j - 2. Let r(t) = -11*t**4 + 13*t**2 - 15*t + 5. Let s(n) = 3*r(n) + 8*y(n). Find the second derivative of s(l) wrt l.\nAnswer: -12*l**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 3. Let i(k) = -25*k + 7. Let h(b) = -405*b + 111. Let a(j) = 2*h(j) - 33*i(j). What are the prime factors of a(l)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6 + (-21)\/(-5))\/(3\/(-8315))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500415 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 28 = 22*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 40243.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1326934795?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 190565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (-3 - -1)) + 49. Suppose -4*q + q = -c. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g - 7. Let h(z) = z - 3. Let n(k) = -3*b(k) + 5*h(k). Let c(v) = -v**2 - 5*v + 1. Calculate the remainder when n(-7) is divided by c(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 675 and 1755?\nAnswer: 8775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 40\/3*n**6 + 0*n**2 + 0*n**4 - 199 + 0*n**5 + 0*n - 32\/3*n**3. What is the third derivative of d(l) wrt l?\nAnswer: 4800*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 27*z**2 + 16*z - 291. Determine h(27).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 364337500.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85681 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 3*l + 16 - 3 = 6, -2*v = l - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6714829 is divided by 443?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4077 or 769?\nAnswer: 769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 18*o - 159. What is m(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-3))\/((-3)\/(-171)). Suppose x = 2*t + t + 5*k, 4*t - 5*k = 37. Calculate the lowest common multiple of t and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*x + 3 + 10*x**2 - 3.\nAnswer: 10*x**2 + 18*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 - -8. Let h = 46 + f. Let w be (-2 - -3)*4\/(-34). What is the smallest value in 0, h, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1862 and 28728.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 0.1, -1.59?\nAnswer: -1.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l + 39. Let z be g(-9). Suppose 2*w - 30 = 2*j + 2*j, -10 = z*j + w. Let a(y) = -y**2 - 9*y - 1. Let r be a(-8). Sort 0, r, j in descending order.\nAnswer: r, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 - i**2 + 4*i + 1. Suppose 138*w = 158*w + 40. Give q(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64618, 4, 5 in increasing order.\nAnswer: -64618, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2322045 (base 6) to base 4\nAnswer: -131032031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5399742*-0.3.\nAnswer: -1619922.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 25. Solve -d - 2*d + 4*t = -26, 5*t = 2*d - j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 13 - 25 - 17*y)*(-21*y**4 + 26*y**4 - 310*y**4).\nAnswer: 5185*y**5 + 610*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1019 + -12. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - a362c1?\nAnswer: -a362d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1598886 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 divided by -2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000607 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -22. Let c be -8 + 0\/4 - -2. Let s = c + 9. Solve -3*z - i = -0*i - 7, -3*z = s*i - a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y + 2. Let u be g(-1). Suppose 4*k = -u*k + 524. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 6*n + 64 + 155, 10*n + 11*n - 17*n = 7*s - 169 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 49418, 98824, 148234, 197648, 247066, 296488, 345914?\n\"Answer: 2*c**2 + 49400*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 19*o - 24*o. Let x(g) = -93*g + 11. Let w be x(o). Suppose 5*u - w = -4*j, u + 3*j = 4*u - 246. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**2 - 24074*t\/11 + 3282\/11 = 0. What is t?\nAnswer: 3\/22, 547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 9) in base 12?\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 0*f - 5*q + 37, f + 3*q = 18. Calculate the remainder when 83 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**8))**(-1\/20)\/(n\/n**(1\/7))**(4\/17) assuming n is positive.\nAnswer: n**(-358\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x - 6 + 2*x + 5*x**2 + 0*x + 4*x. Let t(f) = 70519*f**2 + 1 - 70523*f**2 - 8*f + 4. Let z = -18 - -25. Determine z*t(r) + 6*b(r).\nAnswer: 2*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 6 + (11 - 21) + -4?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1194\/7? (a) 11 (b) 0.0472 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrcscjckc. What is prob of picking 1 r and 1 s?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 10 = -432. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 0.249365?\nAnswer: 0.549365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 145 - 58. Let l = -17 - w. Let s = -5 + l. Solve 0 = -u - 4*k - s, 5*u + 0*k - 11 = 3*k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 87\/27 + 4\/(-18). Let i(y) = -y**2 + 14*y - 13. Let z be i(13). Let g = o + z. Solve -g*l + 2*l + 2 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.7162 - 18.0838. Sort -0.1, 0.5, w.\nAnswer: w, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4377 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-17)*q)\/((q**(1\/16)*q)\/q) assuming q is positive.\nAnswer: q**(-257\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 6761562.\nAnswer: 676156.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.9 - -9. Let p = r - 24. Let v = -1.1 - p. Which is the smallest value? (a) -0.5 (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233328814 to the nearest integer?\nAnswer: 15275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1 (b) -314 (c) -142 (d) -0.5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (2 + -1)) + (-25 - (-56 + 13))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31, -49, -67, -85, -103, -121?\n\"Answer: -18*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1599998)\/3)\/(9\/27). Let z be x\/(-3 + 4) - 2. Round z to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 1)*(-c - 3 + c + 2*c).\nAnswer: -6*c + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 111845, 111854, 111869, 111890?\n\"Answer: 3*i**2 + 111842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/16264184 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpmum. Give prob of picking 1 j and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/11, 1, 0.9, 240?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (134024\/(-1396))\/(1 - 0). Let k = 96 + q. Let s = k + 40171\/6282. What is the common denominator of s and -73\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 - 7*m + 37. Let c(n) = -3*n**2 - 11*n + 56. Let u(k) = 7*b(k) - 5*c(k). Calculate the remainder when 9 is divided by u(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*y - 7283 = -692*y + 1837 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -3*w**4\/4 - w**3 + 24*w**2 - 60*w - 66. Factor s(r).\nAnswer: -3*(r - 2)**2*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190 bigger than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.509 greater than or equal to 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49425?\nAnswer: 3, 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**2\/2 + 2*w + 5. Calculate i(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4292 - -4292. Let u(w) be the second derivative of 0*w**2 - 1\/6*w**3 + n + w. Let j(p) = -3*p**2. Give j(u(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 3)\/(150\/100)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279 and 448694?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 88136807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 510 and 105958875?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(8\/(-3))\/2. Suppose -2*w + 0*w = 6. Let l = -27 - -219\/8. Which is the smallest value? (a) w (b) l (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/110 + 31\/55. What is the nearest to 13 in -8\/7, -2\/3, v, -2\/15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7*(3 + 0 + -2). Let p = f - -28. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 9:01 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 2*m - 1. Let o be (10\/(10 + 10))\/((-2)\/20). Determine x(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -522334 and 0.1.\nAnswer: -522333.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-8\/3))**15\/(w*w\/(w\/(w\/(w\/(w\/w**(2\/7))*w))))**44 assuming w is positive.\nAnswer: w**(-500\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -623 - -627. Solve -3*s + x = -5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -569, -1265, -2229, -3455, -4937, -6669?\nAnswer: -8645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7956 and 73439184.\nAnswer: 220317552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 10 = j + 27, -337*k + 339*k - 2*j - 2 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2331101 + -2?\nAnswer: 2331033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-6) - (-1)\/(-2). Let y = -430 - -434. Which is the nearest to -1? (a) 2 (b) q (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**5 - 6*n**5 + 19*n**5 + (-3*n**5 + 6*n**5 - n**5)*(-3 + 6 - 1) - n**5 - n**5 + 3*n**5.\nAnswer: 22*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-1)*(24\/(-66))\/(42\/(-231))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87 + 4\/(12\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.3, 5, -27247\/3517?\nAnswer: -27247\/3517","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 3, -15, -5 in decreasing order.\nAnswer: 33, 3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (208\/42)\/(6320\/66360).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/2*(214 + -215)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66132477, -66132474, -66132469, -66132462, -66132453, -66132442?\nAnswer: -66132429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 1) + 1128\/620. Let x = f + -827\/124. Find the common denominator of x and (9\/(-120))\/(5\/(-20)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxr when three letters picked without replacement from {x: 3, r: 4, y: 7, m: 5}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/6)\/((-3)\/(-450)). Suppose 62*i - 1710 = 56*i. Let h = i - u. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -60, -57, -54?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1 + (4 + ((sqrt(468) - (sqrt(468) + sqrt(468)*-2)) + 3 + sqrt(468) - ((0 + sqrt(468) - sqrt(468)) + -1)))*5)**2)*4.\nAnswer: 28080*sqrt(13) + 427284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + 24. What is the greatest common divisor of 102 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255784438 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 3*g + 6, 3*f - 10*g = -8*g - 2. What is the second biggest value in f, 2\/45, 3\/4, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 5*g**2 - 6. Let u = 7 + 0. What is the remainder when t(u) is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 2*t. Suppose t = -2*i - r, 0 = 8*r - 4*r. Suppose 3*v - v = i. Solve -2*o - 8 = -v*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-842*g - 594*g - 999*g - 483*g + 111*g)*(-3 + 3 + 1)*(4 + 2 + 0) as y*g + k and give y.\nAnswer: -16842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 48*b - 13. Is h(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5548570 divided by 52345?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 13 (c) 0.01 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1814 - -1813.81. Which is the third smallest value? (a) f (b) -0.9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 853932079 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 937.9261885 to one decimal place.\nAnswer: 937.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -0.05, -3.7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l**3 + 5*l**3 + 16*l**3 - 5*l**3.\nAnswer: 29*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 0*k = 5*m + 1, 5*k + 4*m + 11 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 4708977.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33653 or -33656?\nAnswer: -33653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37845698.69 rounded to the nearest 10000?\nAnswer: 37850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-696969)\/(-103500) - (-8)\/500\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-3))\/(60\/270).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*l**5 - 4*l**3 - 284*l + 22.\nAnswer: 200*l**3 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 12. Is p greater than -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**3*j**3 - 3*f**3 - 5*f**2*j**5 + 19*j wrt j.\nAnswer: -6*f**3*j - 100*f**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21234031 (base 6) in base 11?\nAnswer: 398a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l - 3*r - 23, 0 = 4*l + 4*r + 20. Let w be l\/(-6)*12\/(-28). Let i = 15 + -11. Which is the third smallest value? (a) i (b) -0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37437 - -94513. What is the ten thousands digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.20013 and 87.2?\nAnswer: 802.251336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - j + 4 = -4*j, w = -4*j + 32. Which is the second smallest value? (a) -3 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.8? (a) -0.2 (b) 2\/13 (c) -504\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*x**4 + 31*x**3 + 3*x**2 + 522 wrt x?\nAnswer: 12*x**3 + 93*x**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 16186*c**2 + 6. Let b(w) = -5*w. Determine s(b(d)).\nAnswer: 404650*d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -610159\/24570 + 2\/12285. Let u = 8862 - 3136. Let b = -34447\/6 + u. Find the common denominator of b and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4 - 49. Let m = -3 + t. Solve -4*f - m = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 35\/((-15)\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.320039 months to years.\nAnswer: 0.61000325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 2*w**5\/35 + w**4\/14 - 6*w**3\/7 - 9*w**2\/7 - 522. Factor x(g).\nAnswer: 2*g*(g - 3)*(g + 1)*(g + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 0*z. Find h, given that -3*h**3 + 2*h**2 + z*h**3 - 4*h**2 + 4*h**2 + h**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/z**(-1))**(13\/2)*(z\/(z*z**(2\/5)*z))\/z**(2\/13))**(4\/19) assuming z is positive.\nAnswer: z**(6356\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o = 2*y - 65 - 30, 8*y = 4*y - o - 31 + 26 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -2 - (-11 + 12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3 - 2 + b - 2 - 4*b**2. Let m(y) = 9*y**2 - 3*y + 15. Suppose -8*v = 157 - 101. Let q(t) = v*a(t) - 3*m(t). Determine q(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckkk when four letters picked without replacement from ckpcckckckckcpckck?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78 - ((3 - -3) + (-25 - -4 - -4))) + -2.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 1 - 11. What is the tens digit of 3 + n\/(-4) + 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/4801 + 235237\/28806. Find the common denominator of d and 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 12 = -j. Suppose 1 = 3*a - 2*u - 0*u, j*a + 2*u = 17. Solve c - 10 = -3*n, -a*n + 13 - 2 = 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*v**2 + 25*v**2 + 2 + 30*v**2)*(v - 2*v + 2*v)*(14 - 2 - 1).\nAnswer: 176*v**3 + 22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 217, 276, 335, 394?\n\"Answer: 59*i + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -5. Let v be 1*0*(-2)\/l. Suppose 4*q + v*q - 64 = 0. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 92770062?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41505136 is divided by 247?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 - -12. Let g = -84 + x. Let u(c) = -3*c + g*c + c + 2*c**2. Let w(s) = s. Calculate u(w(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15997712?\nAnswer: 2, 109, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 1205*w - 55484. What is d(46)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2103 (base 4) in base 15?\nAnswer: 9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 44*z**2 + 128*z - 112.\nAnswer: 4*(z - 7)*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b - 6. Let g be 2 + 0 - (0 - 1). Suppose 0 = 4*j - 27 + g. Let x be a(j). Round x to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, -259, -1132, -2919, -5932, -10483, -16884?\nAnswer: -25447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3)\/(h*(h*h**3\/h)\/h*h*h))\/((h*h*(h**(-2\/23)\/h)\/h)\/h*(h\/(h*((h**1*h)\/h*h)\/h))\/h) assuming h is positive.\nAnswer: h**(-155\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2051 (base 8) to base 5.\nAnswer: 13230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 3*o + 20, -5*t + 0*t = o - 14. Let g = t + 4. Let u(i) = i**2 + 15*i - 96. Calculate the remainder when g is divided by u(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b + -79b3?\nAnswer: -7974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98)\/(-133)*((-264)\/88 + (-50)\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 2*q - 34 = 2*h - 10, 7 + 2 = 3*h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/840 and 11\/240.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/5, 1, 6, 3\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 2937.\nAnswer: 2937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**2. Let g(r) = 22512*r**2. Determine g(a(b)).\nAnswer: 202608*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 222012 divided by -21\nAnswer: -10572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -708178, -2832714, -6373606, -11330854?\nAnswer: -17704458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*i - 30 = 0, 8*t - 3*i = 10*t - 33. Suppose t*r + 24 = 29*r. Solve -5*g - 2*k + 15 = -7*k, -8 = -4*g + r*k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -159643985*b**3 - 139710835*b**2 wrt b?\nAnswer: -957863910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 11?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17674.\nAnswer: 2, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-5\/2)\/(f\/(f**(4\/7)\/f)))\/(f**(-11)*(((f**(-14)*f)\/f)\/f)\/f*f))**(-32) assuming f is positive.\nAnswer: f**(-4944\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 2754?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2945336 divided by 8.\nAnswer: -368167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) -1\/8 (c) -0.2 (d) -513 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 5*h - 10, 2*u - 1 - 1 = 4*h. Suppose 5*x = 6*x - 2*m + 7, -x - u*m + 28 = 0. Suppose -5*j + 116 = x*k, j = 3*k + 4*j - 114. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 1046\/5, 1, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*c**2 + 3\/4*c**3 - 3\/4*c**4 + 1\/4*c**5 + 0*c + 0.\nAnswer: c**2*(c - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - s**2 + s + 2. Let p be q(0). Solve 0*z + p = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-29982)\/(-9) + ((-34)\/3 - (-300)\/25) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.05 and -753403.959?\nAnswer: 753404.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 1\/64, 2 in increasing order.\nAnswer: -1\/4, 1\/64, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/36*(-333)\/74. Which is the third biggest value? (a) -2 (b) 69 (c) 12 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 9*b = 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10437647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3048)\/108 + 4\/18. Let y = -12 - v. What is the lowest common multiple of 0 + 160*14\/35 and y?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -109, -6.3, 3, -1\/108 in increasing order.\nAnswer: -109, -6.3, -1\/108, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1889*s**4 + 1231*s wrt s.\nAnswer: 22668*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40330 (base 7) in base 13?\nAnswer: 45a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4804886 = -b, 3*b = u - 2*u + 14414668. Let n = b - 7040885. Let r = n + -7664005. Round r to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 + 3*n - 1. Let v be c(2). Let q = -9 - -66. Let j be (v - q\/(-9))*6. 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: What is the fourth root of 828 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 + 0.17. Let z(q) = q**3 - 4*q**2 + 2*q + 3. Let y be z(3). Suppose -2*t - 4*u - 16 = 0, y = -2*u + u - 3. What is the biggest value in t, x, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4834346.\nAnswer: 2, 11, 37, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -2) + (-4 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 5 = -4*v. Let z be -3 + (-1 - (-42)\/v). Which is the nearest to z? (a) -8 (b) 5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 + 28165*k - 28176*k - 27 - 64 + 24.\nAnswer: 2*k**2 - 11*k - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 12414423?\nAnswer: 12414424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 713*w**2 - 71.\nAnswer: 1426*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 40, -1, 2\/7, -191, -5, 8 in descending order.\nAnswer: 40, 8, 2\/7, -1, -5, -9, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.072?\nAnswer: -0.0288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 1\/6 (c) -1 (d) 0 (e) 0.27 (f) -34360 (g) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*b, -b + 6 = 2*p - 3*p. Let r be -1 + b + -1 + 2. Suppose -5*a + r*y - 4 = 11, 0 = 5*a - y. Put 5, a, -5 in decreasing order.\nAnswer: 5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2872\/48 - (-1)\/6. Suppose 2*s = 3*i - 26, -5*s + 13 = -3*i + y. Is 0 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmmd when four letters picked without replacement from {m: 4, r: 6, y: 1, d: 3}?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -101000110110 (base 2) to base 11\nAnswer: -1a67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -226, -468, -718, -970, -1218, -1456, -1678?\n\"Answer: i**3 - 10*i**2 - 219*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, w: 3}. Give prob of picking 2 w.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 4*i**2 - 2*i - 3. Let l(f) = 3*f**2 + 31*f + 5. Let y be l(-10). Calculate z(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**8*(p\/(p\/p**(-21)))\/p assuming p is positive.\nAnswer: p**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (38*k**2 - 289*k**2 - 20*k**2)*(-4*k + 2*k + 5*k) in the form x + h*k**3 + d*k**2 + g*k and give h.\nAnswer: -813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 423 + 115 + 141 + 552 - 97.\nAnswer: h + 1134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 62 = h + 79, 0 = i + 2*h - 33. Let r be -1 - 34 - (-6 - -8). Let t = r + i. Sort -0.1, -0.05, t.\nAnswer: t, -0.1, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14557493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80.0000228 - -80. Round c to 6 decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 17 + (10 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*k**3 + k**2\/4.\nAnswer: k**2*(60*k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 5) + (2 - (20 - 6)) + 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*3 + 4)**2.\nAnswer: 216*sqrt(3) + 2203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*w + 2, -65*x - w + 34 = -69*x. Which is the nearest to 4? (a) x (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 2 - 2)*(-21*r + 2*r + 4*r).\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/70 and 11\/1246.\nAnswer: 6230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0358 - -4.6558. Let z = -0.38 - k. Which is the biggest value? (a) 0.08 (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 913 = 913 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 + 159278*g**2 + 1911363*g\/2 + 1433529.\nAnswer: -(g - 318562)*(g + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 + 106. What is the greatest common factor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.563 * -16.9\nAnswer: -9.5147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1482 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -65513, -130799, -196097, -261413, -326753?\n\"Answer: -v**3 - 65279*v - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 + 16*y + 36. Suppose -3*i = -s + 4, 2*i - 2*s + 6*s = -26. What is t(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100101010111010 (base 2) to base 7\nAnswer: -304210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/16, -2\/11 in ascending order.\nAnswer: -2\/11, 3\/16, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, -2, -9522.16 in descending order.\nAnswer: -2, -77, -9522.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -7. Let b be 18\/15*h\/(-4). What are the prime factors of (-2)\/b - (-16)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4937765?\nAnswer: 5, 7, 141079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/3 and -11\/39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 136403 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwww. Give prob of sequence wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 2. Let i = 7 - 7. Suppose -2*k + 4*k = i. What is the second biggest value in -2, q, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 3*p - 3*k + 6*k, 7 = -p + k. Let w = p - -15. Find the first derivative of 4 + 0 - 2*n + w*n + 0*n wrt n.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 4*l = 40, 6 = -3*z - 22*l + 21*l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**5\/60 + 2*w**2. Let q(p) be the second derivative of p**3\/3 - 2*p. Calculate l(q(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 15 = a - 13, -4*a = 0. Suppose -z + u*z = 1362. List the prime factors of z.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 51*c**2 + 9*c**3 + c + 47*c**2. Let x be n(2). Is 10 a factor of -16*(3 - x\/16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 240 + -3122\/13. Which is the closest to 0? (a) 5 (b) v (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 4*i + 5. What is the lowest common multiple of w(2) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -1\/40*y**5 + 0 + 1\/12*y**3 + 0*y**2 + 1\/180*y**6 - 15*y - 1\/72*y**4. Factor k(g).\nAnswer: g*(g - 3)*(g - 1)*(g + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1708\/9 - -190. Sort 0.5, a, -4, 65 in ascending order.\nAnswer: -4, a, 0.5, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/((-3)\/(-81)*3). Suppose -3*f + 1 = -3*q + 25, -q = d*f + 4. Solve 4*z - 6 = -y - z, 4*z = q*y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4186, -8324, -12470, -16630, -20810, -25016?\nAnswer: -29254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.2, -0.4, -432, 1, 123 in ascending order.\nAnswer: -432, -0.4, -0.2, 1, 2, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l - 4*m = 39*l - 15*l + 44, 0 = 5*l - 3*m + 15 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.06 - 0.06. Let q = 0.16663 - 0.46663. What is the third biggest value in q, -5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*s - 190*s = -265*s - 390. Let p = 23 + -255\/11. Which is the fourth biggest value? (a) 1.3 (b) -0.5 (c) p (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -355*p - p**3 + 3 - 2*p**2 + 0*p**3 + 369*p. Calculate the lowest common multiple of u(-6) and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 542, 1081, 1622, 2165, 2710?\n\"Answer: j**2 + 536*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45697598533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*4 + 2)**2 - (sqrt(931) + 3 + -3).\nAnswer: 89*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z + 56. Let s be b(-8). Let r = 27 + -15. Let l = r - s. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -20.5. What is the smallest value in p, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11\/1616, 1\/8, -3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -51*o - 964. Let y be i(-24). Suppose 2*v = 3*v - 39. What is the highest common factor of y and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 55426724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -12579.74 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 7 = -u, -u + 3*m = -3 - 2. Suppose 0*i + u*i - 384 = 0. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36390, -36398, -36410, -36426, -36446, -36470, -36498?\nAnswer: -36530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/20 and 59\/2412682.\nAnswer: 24126820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-18))\/((-30)\/(-36)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1114596026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4178, 8507, 12836, 17165?\nAnswer: 21494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5690476 by 2.\nAnswer: 2845238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from {b: 2, k: 1, m: 1, o: 1, q: 1, s: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 7:18 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*z**2 - 5*z**2 + 42*z**2 + 55*z**2 in the form y + n*z**2 + f*z and give n.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34827 - -35034. Solve 112*i = 135*i - a for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/5684 and -31\/68208?\nAnswer: 68208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -27*h - 1. Let o(s) = 53*s + 3. Calculate -4*o(a) - 9*w(a).\nAnswer: 31*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31.8 or 51\/25?\nAnswer: 51\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7949?\nAnswer: 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2 + 2 - 3*d - 2*d + 4*d. Let c be (-6)\/1*(-4)\/3. Suppose q = -5*r + c, r + 3*q + 6 = -q. What is b(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 8*h**2 + 105*h - 406. Calculate l(4).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 4. Let p be x(3). Let n = 957 - 960. Which is the nearest to -0.53? (a) n (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61183 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44249860 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 564328.4 millennia to decades.\nAnswer: 56432840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187381 is divided by 46841?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3 - 5*l + 2*l + l. Let v be c(4). Is ((-482)\/v)\/(3\/15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318253588.\nAnswer: 2, 163, 488119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37439683.\nAnswer: 41, 47, 19429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 635*p**2 + 173*p**2 - 23*p**2.\nAnswer: 785*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*z + 5*t, -148*z + 140*z - 2*t + 16 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38015?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2030315 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.8 - 0.21.\nAnswer: 7.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22222*m**3*n**3 + 2*m**3*n + 10*m**2*n**3 + 25136*m*n**3 wrt m?\nAnswer: 133332*n**3 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 11*p - 10. Let z be r(-9). Let v(h) = h**2 - 8*h + 11. Let m be v(z). Suppose 7*x - m*x = -56. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32281 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92 - -188. Let k = a + -92. Suppose -3*v = 4*j + v + 4, k*j = v + 21. Solve -3*z + 9 = j*i, z = -i - 2*z + 9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(2\/25))\/c)\/(c**(-2\/11)\/c*c) assuming c is positive.\nAnswer: c**(303\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 - 6*f - 1088. Let v(p) = 4*p. Calculate v(b(g)).\nAnswer: -8*g**2 - 24*g - 4352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.7 - -13. Let o = 9.8 - w. Let b = -8 + o. Put -0.2, -1, b in descending order.\nAnswer: b, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2476 + -420. Let s(q) = q**3 + 7*q**2 - 14*q - 65. Let f be s(-3). Suppose 17*a - f*a - d = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 4) + (-19 - (-24 + -1) - 31)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 6 + 18. Let g be n\/4 - (1 + 1). Let x be ((-1)\/1)\/(14\/70). Put g, 1, -2, x in increasing order.\nAnswer: x, g, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhkhhuhqhkhhuuuh. Give prob of sequence uq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -s + 5*w + 13, w = -4*s - 23. Let f(g) = g + 6. What is f(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61.7 * 18641.\nAnswer: 1150149.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8330 and 1360?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttxxxt. Give prob of picking 2 t and 2 x.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -2859, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 4:56 PM?\nAnswer: 619","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 22*v - 20*v - 5*v + 10 + 5*v.\nAnswer: 2*v + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -20*s - 20. Let g = 29 + -44. What is the tens digit of m(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12*(-6)\/8 - 5. Let w(v) = 245*v**2 - 2*v + 31. Is w(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 6. Let b be j(0). Let i be 9\/b*(-2 + 30). What is the greatest common factor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.3267048t?\nAnswer: 326.7048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y**3 + y**3 - 36*y**2 + 36*y**2.\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 186644535119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a. Let l(b) = -23*b + 9. Let g(o) = o + 3. Let w(j) = 2*g(j) - l(j). Give i(w(u)).\nAnswer: -50*u + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f - 26. Let i = -12 + 20. Let y be v(i). Solve 0 = 2*u - 0 - y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 42*16*((-57)\/(-12) - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*v**4 + 13*v**3 - 57291*v**2 - 14820557*v wrt v?\nAnswer: 48*v**2 + 78*v - 114582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 9:25 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/18 and 31\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -112031225 (base 7) in base 16?\nAnswer: -683cc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 242 and 241 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 - 5*j - 1. Let g be l(-4). What is the units digit of (-1 + g)\/(-12 - -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*((1 - 1) + (-8)\/(-4)). Suppose 4*q = -3*i + 1705, d*q + 3*q - 583 = -i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -0*k + 2*k. Suppose k = 5*i - 130. Does 26 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 4*k - 5. Let t be n(7). Let p = -16 + t. Which is the closest to p? (a) -3 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2. Suppose -5*x = 2*y + 30, -2*y - x + 11 = -5*y. Let g(j) = 15*j**2 - 5. Let m(b) = -8*b**2 + 2. Let w(a) = y*m(a) - 2*g(a). What is w(f(c))?\nAnswer: 10*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 380, 373, 356, 323, 268, 185?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82234, 328983, 740252, 1316041, 2056350, 2961179?\nAnswer: 4030528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (33\/44)\/(49\/28)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22320 (base 4) in base 10?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 - -64.5. Put 0, -5, d in descending order.\nAnswer: d, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3129*w - 12818*w = -930144 for w.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5027502723?\nAnswer: 3, 1675834241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 96050*s\/3 - 10672.\nAnswer: -2*(s + 16008)*(3*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**4\/18 + 2*x**3 + 27*x**2 + 35*x. Factor s(i).\nAnswer: 2*(i + 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -231 + 216.3. Let o = -15 - s. Which is the closest to -1\/3? (a) 2 (b) o (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 6 = -5*s, 0*t - 2*s + 1 = 3*t. Put t, 0.2, -2 in descending order.\nAnswer: 0.2, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-36) - 256\/(-18). Let a be z\/(-30) - (-4)\/6. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 333 - 14d2?\nAnswer: -119f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4158, -8397, -12660, -16959, -21306, -25713, -30192, -34755?\nAnswer: -39414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from spsaxspspppsppxpps. What is prob of picking 3 s and 1 p?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/15)\/((-3)\/(-570)). Let t = f - 103. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2666, -5287, -7890, -10475, -13042, -15591?\nAnswer: -18122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 0*p + 51*p**2 + 1\/3*p**3 - 110. Let x(r) = -r**2. Calculate x(o(c)).\nAnswer: -c**4 - 204*c**3 - 10404*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 6:31 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**5 + 2*b**2 - b + 1. Let m(h) = 244*h**5 + 610*h**2 - 427*h + 305. Let w(s) = m(s) - 305*o(s). What is the second derivative of w(j) wrt j?\nAnswer: -1220*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -777, -2605, -7545, -17151, -32977?\n\"Answer: -259*k**3 - 2*k**2 - 9*k - 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.03, -1, 0.2, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 2*u - 2*u = 6*o, 5*o = -113*u + 96*u - 21 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -632969.718 to the nearest 10.\nAnswer: -632970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1121?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-6)\/32*(-18)\/54.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 227065661 less than 5?\nAnswer: -227065656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence joo when three letters picked without replacement from {o: 2, j: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.5 + 13.5. Which is the closest to -2\/7? (a) 0.3 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(4608)*3 + sqrt(4608) - -5*(sqrt(4608) + (sqrt(4608) + -1 + sqrt(4608) + sqrt(4608) - sqrt(4608)))) + 0)**2.\nAnswer: -82080*sqrt(2) + 14971617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 + -47. Let z = 8 - 24. Let v be 1\/12*z\/h. What is the nearest to -0.1 in 3\/4, 0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 8, -0.3, -21.3 in decreasing order.\nAnswer: 9, 8, -0.3, -21.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**2 + 10*l**2 + 14*l**3 + 31*l**3.\nAnswer: 45*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1293 - 614. Suppose 7*l - b = -0*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9018 is divided by 787?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 0*v + 3\/20*v**4 - 6 + 1\/5*v**3 + 1\/25*v**5 + 1\/10*v**2. Determine m, given that k(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*x**3 - 31*x**3 + 78*x**3 - 110 with respect to x.\nAnswer: 228*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2166*l - 12979. What is the units digit of j(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160680 and 1914.\nAnswer: 51256920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 4:45 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 92798226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 169303340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*i - 50*i - 36. What is the remainder when i is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4018.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 18*z + 5. Is v(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -197, -275, -357, -443?\nAnswer: -533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5 = -1, 16 = 3*r + 2*l. Suppose 0 = r*h - 287 - 301. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*o + 201 - 201)*(25*o + 29*o + 102*o).\nAnswer: 12480*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1370, -4, -2 in descending order.\nAnswer: 1370, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**3 + 1062*i**2 + 6776*i?\nAnswer: 18*i + 2124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**5\/60 + n**4\/3 + 4*n**3\/3 - 6*n**2. What is v(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 28*z**2 - 102*z + 58. Calculate j(-25).\nAnswer: 733","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-25 - (19 + 6 - 72))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 2*h**2 - 2*h + 27. Let w be r(0). Let b = 64 - w. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35870 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 152\nAnswer: 15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d - d - 819*d**2 + 813*d**2.\nAnswer: -6*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -269 + 283. Which is the closest to -1? (a) 1 (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + x + 4. Let c be o(6). Let p = 14 + c. What is the tens digit of (-6)\/(-8) - 135\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 698839987*j*t**2 - 732145246*j*t wrt t?\nAnswer: 1397679974*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 266, 694, 1276, 2006, 2878?\nAnswer: 3886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 73, 96, 121?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5258 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**7\/140 - b**4\/12 + 2*b**3\/3 + 3. Let o(s) be the third derivative of a(s). Find the first derivative of o(l) wrt l.\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 + 0*d**5 + 0*d**5 - 2*d**5 - 4*d**5 + 18*d**5 + (4 - 5*d**3 - 4)*(-6*d**2 + d**2 + 4*d**2) + 5*d**5 - 3*d**5 + 0*d**5 - 4*d**5 + 2*d**5 + 3*d**5.\nAnswer: 18*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19, -15, -13, -13, -15, -19, -25?\n\"Answer: -q**2 + 7*q - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thtttthtttthtththh. What is prob of sequence ht?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 86\/(-6) + (-10)\/15. Let g = 21 + n. What is the third derivative of 5*s**g - 5*s**2 + 0 + 0 wrt s?\nAnswer: 600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 25 - 8 = 0. Let x = -3 + t. Is (x\/(-4))\/(711\/(-240) - -3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24\/7 - -41\/14. Which is the closest to -1\/6? (a) 4 (b) -3\/8 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2 + 460*n + 12573. What is i(177)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 4:55 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.85036399 to 3 decimal places.\nAnswer: -16.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(5\/4)*z**(17\/3) assuming z is positive.\nAnswer: z**(83\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 9*t. Let k(n) = -n**2 + 15*n. Calculate y(k(c)).\nAnswer: -9*c**2 + 135*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooj when four letters picked without replacement from oooojoojoooojo.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9825 or 9829?\nAnswer: 9829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 4)*(1 - -9571). Let d be (-6)\/(-9) - (-61414)\/3. Let g = d + q. What is g rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-119))\/(((-120)\/3)\/(-840))\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25.3 + -25.1. Which is the nearest to -1? (a) v (b) -0.3 (c) -0.1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121415422 - 10?\nAnswer: -121415432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*n = 194*n + 833 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(5) + sqrt(5)*-2) - (-1 + 2 + sqrt(17)).\nAnswer: -2*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*o + 260 = 139*o. Factor 14\/5*s**4 - 4\/5*s - 6\/5*s**2 + 6\/5*s**3 + 6\/5*s**o + 0.\nAnswer: 2*s*(s + 1)**3*(3*s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4bba81 (base 13) in base 3?\nAnswer: 10102201211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) 4 (c) -3\/5 (d) -8 (e) 0.78414 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67 - (-6 + (-21 - 0 - (-64 + 51))).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/3*119\/1428?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**3 - 72*s**2 - 34*s + 214. Is r(25) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11311 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -742*s - 5171. Let f be k(-7). Let y(q) be the third derivative of -f*q**2 - 5\/6*q**4 - 1\/3*q**5 - 5\/6*q**3 + 0*q + 0. Let y(o) = 0. What is o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -4\/5, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 832801?\nAnswer: 832801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 32*x**3\/3 - 3*x**2 - 3*x - 13. List the prime factors of y(-2).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 352107.1 + -352107. Let m = -56.385 + -0.415. Let s = -51 - m. Which is bigger: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 480 + -163. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2880 + 5*k**2 + k - 417 - 6*k**2.\nAnswer: -k**2 + k - 3297","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 208\/15, -0.4, -15, 1\/2 in descending order.\nAnswer: 208\/15, 1\/2, -0.4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 3816 - 3759 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.44.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -28, -26, -22, -16, -8, 2, 14?\n\"Answer: r**2 - r - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 3) + (27 + -6 - (9 - -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/20)\/((-2)\/(-4))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1648, -1652, -1658, -1666, -1676?\nAnswer: -1688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 - 4 + 3 - y**3 + (4*y**2 - 2*y**2 + 0*y**2)*(4*y - 3*y - 3*y).\nAnswer: -5*y**3 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -26*y + 18. Let k(q) = -27*q + 18. Let w(c) = 3*k(c) - 2*p(c). What is the derivative of w(s) wrt s?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - 272\/(-44) - (-2)\/(-11). Suppose -4*x - 4*f = f - 5, -t*f + 14 = 4*x. Solve x*z = 7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/165 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-4)\/(-2) + 2. Let j = 1.5 + -2. Let t be (-5 - 1) + (-4536)\/(-729). What is the biggest value in h, j, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*f - 1, 0 = 2*a + 2*f - 58. Suppose 5*h + 2*s = -3*s + a, 5*s = 4*h + 12. Solve h + 10 = 3*m + 4*t, 2*m + 4*t - 8 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8587 + -4737. Is 29 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 - 2)*(3*s**3 + 0 + 0) - 2*s**3 + s**3 - s**2 + 3*s**2.\nAnswer: -22*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.019? (a) 19 (b) -2\/7 (c) 0.5 (d) -2 (e) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19859, 81439, 184071, 327755, 512491?\nAnswer: 738279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/138 and -53\/46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 48. What is the common denominator of 0 + f\/9 + (-786)\/36 and 17\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) -252 (c) 3 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56604.\nAnswer: 2, 3, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73343\/4362 - -14\/727. Let r = 74 - 311\/4. Find the common denominator of o and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -712, -1700, -2964, -4504, -6320, -8412, -10780?\nAnswer: -13424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, w: 1, j: 2, b: 2}. What is prob of picking 2 j and 1 l?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3456747, 3456748, 3456749, 3456750?\nAnswer: 3456751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*p = -22, 2*a + 4*p + 31 = -3*a. Let w = 28 + a. Let i = 4 + w. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00124844975 to seven dps.\nAnswer: 0.0012484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 21*a**2 - 35*a. Let z(l) = l**2 - l. Calculate -p(y) + 35*z(y).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 22 = -3*h + 6*h, 2*z - 3*h = 13 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -95\/3*o - 31\/2*o**2 - 4\/3.\nAnswer: -(o + 2)*(93*o + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00566 to 4 dps.\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.150267 rounded to 1 decimal place?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 360 = 3*g. Let j = g - -103. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 10*s - 12. Let r be (-4)\/(-1) + 2 + 5 + -9. Solve r*y - s = 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*s + 3*x, -6*s + s = 2*x - 15. Suppose -4 = 5*t + 4*g, 2*t + s*t + g = -1. Find b, given that -2\/5*b**2 + t + 4\/5*b = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 96225?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200002202 + -111210?\nAnswer: 122120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -12*a - 2. Give m(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -406645, -407249, -407835, -408397, -408929, -409425, -409879, -410285?\nAnswer: -410637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -35?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -612 - 2?\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -17 - 13. Let z be 4\/6*w\/2. Which is the nearest to -0.1? (a) z (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699.8 minus -0.4?\nAnswer: 700.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 19*p**2 + 6183*p + 2591. What is b(-325)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 918 - 910. Solve 9*q - a - 10 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -36 - 52737976*r**2 + 52737976*r**2 + 4*r + r**3. What is f(0)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 10*y + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -926 or -925?\nAnswer: -925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**5\/8 - 177*r**4\/8 + 1413*r**3\/4 - 1119*r**2\/2 - 7215*r - 9000 = 0. What is r?\nAnswer: -2, 8, 25, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (154\/(-8))\/((-234)\/(-120) - 2). Let w = 584 - v. Is w 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 -2\/3, 5, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l. Let k(u) = -11331*u**2 + 180. Let v(j) = 1619*j**2 - 24. Let t(r) = 2*k(r) + 15*v(r). What is x(t(f))?\nAnswer: -8115*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y - 3*y + 7*y + (y + 4*y - 3*y)*(-2 - 2 + 6) - 88*y + 42 - 42 + (3 + 4 - 6)*(-y + 2 - 2).\nAnswer: -82*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0221133 and -8.\nAnswer: -0.1769064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9643, 19293, 28943, 38593?\nAnswer: 48243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 15) to base 6\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -174*u + 180*u - 18. Suppose 35 = -2*m - 3*m. Let b(z) = -4*z**3 + 6*z**2 + 7*z + 3. Let j(k) = -2*k**3 + 3*k**2 + 3*k + 1. Give m*j(y) + u*b(y).\nAnswer: 2*y**3 - 3*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*p + 3*p = -14, 3*l = -p + 10. Suppose 0 = -l*a + 5*a. What is the third biggest value in a, -4\/5, 0.06?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (441\/(-84))\/(432\/96)*2*9\/(-350).\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 5*v**4\/12 - 5*v**3 + 45*v**2\/2 - 16*v. Determine g so that i(g) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1675295461 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1341 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.8 - 3. Suppose 0 = 5*p + 4*x + 8, 3*p = -0*p - 2*x - 6. Let u = 7.4 + -3.4. Sort v, u, p in ascending order.\nAnswer: p, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g**2 + 2*g + 3. Let t(o) = -6*o**2 - 3*o - 4. Let j(f) = -3*r(f) - 2*t(f). Determine j(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 437*v + 5 = 3*q + 438*v, -6 = -3*v. Put 0, -3, 9, q in decreasing order.\nAnswer: 9, q, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*j - 4*j - 27 + 22*j)*(2 + 5 + 0) - j + 1 - 1.\nAnswer: 13*j - 189","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -60c?\nAnswer: 60c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-134)\/4)\/(4\/40). Let o = y - -334. Which is bigger: o or -26\/57?\nAnswer: -26\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 5126?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395769750?\nAnswer: 2, 3, 5, 293, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -202 + -110 + 211 + 126\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.46 + -0.34. Let u = s + 13.51. What is u rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-32)*14\/(-5). Let b = 15\/16 - o. Let z = -17 - -33\/2. What is the second smallest value in 0.2, b, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 22*l**6\/3 + 301*l**2\/2 + 23. What is the second derivative of c(i) wrt i?\nAnswer: 880*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 26*y**2 + 113*y - 36. Calculate the smallest common multiple of 172 and k(-19).\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -272, -429?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 3*r**2 + r - 1. Let m(c) = -12*c**3 + 41*c**2 + 30*c + 155. Determine -m(h) + 13*t(h).\nAnswer: -h**3 - 2*h**2 - 17*h - 168","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 3 + 27\/9. Let n(q) = 6*q - 3. Let l(c) = 5*c - 2. Let r(a) = y*l(a) - 4*n(a). What is r(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 17*m - 43. Determine k(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.2 - -2. Let y = 1.2 + i. Which is the nearest to 0? (a) -3\/7 (b) 1\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**0*b**22*(b*b**(-7\/6))\/b*b*b**(4\/7) assuming b is positive.\nAnswer: b**(941\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(112) + -5 + sqrt(112))**2.\nAnswer: -128*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 929031 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1043, -2056, -3069, -4082, -5095, -6108?\n\"Answer: -1013*o - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-1 - (4 - -10))) + -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -0.2, -1 in descending order.\nAnswer: 2, -0.2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 8*p**2 - p - 6. Let q be k(-8). Let c = -7 + q. Let n be -73003 + (c + 2)\/(-1). Round n to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*j + 12. Let l(u) = -81313*u**2 + 5*u + 2. Let q be l(j). Let k = q + 1607236. Round k to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -788223640.64 + 1420.\nAnswer: -788222220.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16179343 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*z + 490 + 724 = -424 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 10125?\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.248, 0.2, 0, -67, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -9*n**2 + 105*n. Let o(x) = 6*x**2 - 168*x - 4. Let k be o(28). Let y(h) = h**2 - 13*h. Give k*t(a) - 33*y(a).\nAnswer: 3*a**2 + 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3616070 is divided by 26588?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15062060 (base 7) in base 6?\nAnswer: -50330042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 38?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n - 3. Let i(y) = y - 4. Let d(j) = 4*j - 12. Let s(g) = -3*d(g) + 10*i(g). Determine -4*c(h) + 3*s(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 105, 129, 143, 147, 141, 125?\n\"Answer: -5*a**2 + 39*a + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**3 + 53378*b**2 - 533701*b + 1120728 = 0.\nAnswer: 3, 7, 53368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/59092, -0.2, -2.\nAnswer: -2, -0.2, -0.1, 1\/59092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -212 + 502. Let n = 878 + -611.6. Let x = n - u. Round x to zero decimal places.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 12:59 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 378869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 2 = -5*s, r - 15 = -2*s. Suppose 0 = -3*b - 3*w + 144 + 84, 4*w - 154 = -2*b. Calculate the remainder when b is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 444\/(-264) - (-9)\/6.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 296 + 89 = 0. Suppose -17 = 5*g - m. Solve 0 = 7*c - 3*c - g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16934130 to the power of 1\/2, to the nearest integer?\nAnswer: 4115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0079 - -25.7079. Let p = 21.7 - b. Sort p, -0.1, 14 in descending order.\nAnswer: 14, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 493, -6, 4 in ascending order.\nAnswer: -6, 4, 493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*t - 3*r - 2851, -5*r = 3*t - 2160. Suppose -5*u + 2*u + 3*i = -1071, 2*u - i = t. What are the prime factors of u?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*d**3\/7 + 1380*d**2\/7 + 2097*d\/7 + 54\/7 = 0.\nAnswer: -3, -6\/229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 789393449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (7 + (13 + -10 - 42) - 6)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**3 - 1474928*z**2 - 7374764*z + 8849688 = 0.\nAnswer: -6, 1, 368737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**2 + f**2 - f**2)*(0*f + 4*f - f - f + 2*f + f + (-2 + 3 - 2)*(-f + 3*f - 4*f)) as c*f + r*f**2 + t*f**3 + s and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 580728435 a multiple of 2653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -133 + 21. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4290286?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -31*w. Let b(k) = 216*k. Suppose -2*g - 14 = 3*c, 36*c = g + 34*c. Calculate g*b(u) - 27*r(u).\nAnswer: -27*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - a**2 + 7*a + 6. Let m be b(-3). Suppose -20 = -m*w - 2*l, 2*w + 2*l = 4*w. Solve -w*o = -2*o - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -357*i + 354*i + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -13.4, 4, -9, 1, -1, -0.1 in decreasing order.\nAnswer: 4, 1, -0.1, -1, -9, -13.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1087, -8665, -29155, -68983, -134575, -232357, -368755, -550195?\n\"Answer: -1071*a**3 - 30*a**2 + 9*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5911*r - 6. Let g(j) = 92796781*j + 94192. Let k(y) = -3*g(y) - 47096*t(y). Let m(v) = 2*v**2. Calculate m(k(n)).\nAnswer: 69313538*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.57681 rounded to one decimal place?\nAnswer: -15.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/4 of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/92)\/((-1)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278270317 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -130, -96, -40, 44, 162?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.047?\nAnswer: 0.0235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 15 = -0*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3368*l**2 - 1970*l wrt l.\nAnswer: 6736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 6*n**2 + 5*n + 6. Let j be u(5). Suppose -34 = -4*i - p, 2*i - 28 = -p + j*p. What is the greatest common divisor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**5\/20 - n**4\/3 + n**3 + 5*n**2\/2 + n. Let h = -209 - -77. Let o be (-4)\/14 + h\/28. Give p(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1535 is divided by 378.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (-4 - (0 - -4)). Suppose 0 = -g*a + 3*a + 288. Suppose -4*r + a = -204. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1288554142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 + 381239*o - 381239*o + 4*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3989 divide 2107514050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a + 2*a**2 + 5*a + 0*a**2 + 2*a**2 to the form t*a + j + y*a**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15741, 15747, 15759, 15777, 15801, 15831, 15867?\nAnswer: 15909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - sqrt(170)*-1 - sqrt(170))*2 + -3*sqrt(170)*-1)\/((sqrt(200)\/sqrt(4))\/sqrt(5) - (sqrt(10) + 2*(sqrt(60)\/sqrt(6) + sqrt(10)))).\nAnswer: -5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1043 times 799958\nAnswer: 834356194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1 - 2*g)*(-g**2 - 3*g**2 + 3*g**2)*(-9 - 19 - 214).\nAnswer: -484*g**3 - 242*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 196.74 - 3.74. Let w = -308 + f. Let a = w - -115.00000122. Round a to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/9*10*6\/(-60)*6?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05115676 to five decimal places.\nAnswer: -0.05116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 805231, 1610461, 2415691, 3220921, 4026151?\nAnswer: 4831381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 5*w**4\/12 - 4*w**3\/3 - w**2. Let u be j(7). Suppose 4*s - u + 6 = 0. What is the remainder when 25 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/5)\/(39\/(-26))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1167984 and -55\/68035068?\nAnswer: 272140272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y - y**3 + 0*y**3 + 6*y - y**3 to c*y + a*y**2 + m*y**3 + s and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Let d(z) be the second derivative of -z**4\/12 - z**3\/6 + 7*z**2\/2 + 67*z. What is d(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013198 to 6 dps.\nAnswer: -0.000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 24 = -3*d - 0, -3*o = -4*d + 21. Let v = 2 - -5. What is the remainder when v is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -236c48?\nAnswer: -236c4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25364068 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1764 - 12253?\nAnswer: -10267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2416 and 1\/(4*7\/560)*6\/10?\nAnswer: 7248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 = -5*k + 49 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 7344304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 743150\/750 - 3\/((-45)\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62\/79 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 665 and 7391?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38527 + 16*x + 77044 - 38621 + (-2 + 5 - 1)*(x + 3*x - 2*x) + 2 - x - 2.\nAnswer: 19*x - 104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -h - 11, -3*a - 1 = h + h. Suppose 2*w = 2*i - 144, 4*i = -3*w + 4*w + 273. Factor 3 + 69*q**2 - 1 - h*q - i*q**2.\nAnswer: 2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 153 = -10*b. Do 0 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1342132, 1342168, 1342204?\nAnswer: 1342240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 7:33 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.02 (b) 0.1 (c) -23 (d) 5\/3 (e) 5 (f) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, m: 2, v: 4, s: 1, i: 6}. What is prob of sequence vimw?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -515 - 140 - 75 - 631 - 24 - 3*g.\nAnswer: -3*g - 1385","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4970*d - 9664 = 4745*d + 6311 for d.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvzzvv. What is prob of picking 3 v and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20865 and 312?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4658 - -4.5822. Round j to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 4*v + 12, 4*m - 5*v + 17 = 45. Suppose -3 + 6 = r + m*c, -11 = 5*r - 3*c. Which is smaller: r or -2\/445?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 9)*(0*t + 3*t - t)*(-t**3 + 0*t**3 + 0*t**3) as n*t + h*t**2 + y*t**4 + z*t**3 + a and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7*r - 16. Let j be p(-4). Suppose z + 4*d - j = 5, -d - 25 = -2*z. Suppose -4 = -z*c + 22. Solve 2*t = -8 + c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1699 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 41. Which is bigger: v or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 41 = 2*b. Let p = -8 - b. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204.13 times 0.8?\nAnswer: 163.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 4945?\nAnswer: -4945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**5\/20 + 2*v**4\/3 + 4*v**3\/3 + v**2\/2 + 364*v - 25. Let r = -4 + -3. What is y(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 114 = -h + 18, -3 = h. Let u = -19 + t. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2809, 5\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 7. Let z be u(-14). Let l(h) = 2*h - 5. Let g(f) = 4*f - 9. Let n(w) = -w**2 - 8*w + 4. Let a be n(-8). What is a*g(j) + z*l(j)?\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 5*n + 6. Let d be h(5). Suppose -d*l + l = q - 140, -3*l - 3*q = -84. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 + 138 = -7*p. What is the remainder when 174 is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3359 + -3355. Let g(m) = m - 3. Let w be g(6). Find the common denominator of 35 and -2 + i\/w - 77\/(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934386 greater than or equal to 1934383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.35527 to 1 dp.\nAnswer: 9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153225*h - 31*h**2 - 153224*h - 5*h**2.\nAnswer: -36*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 3 = -33. Find the third derivative of -2*r**2 - z*r + 4*r**5 + 5*r + 14*r**2 wrt r.\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 63*x**2 - 481*x - 182. What is the remainder when 3341 is divided by y(54)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*x**3 - 5 - 472*x**3 + 5.\nAnswer: -611*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnhh when four letters picked without replacement from hhdhdnnndndnddhd.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - 67. Let o = 585\/7 + h. Put 4\/3, 5, o in increasing order.\nAnswer: o, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-8)\/(-6) + -1. Suppose -3*w - 3 = -6*w + y*z, -5*w = 4*z - 32. Let 1\/3*f**4 - 8\/3*f + 0 - 2*f**3 + w*f**2 = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -498*a - 14161. What are the prime factors of x(-130)?\nAnswer: 37, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/12*(-18)\/(-30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -155 + 158. Let w(c) = -c**2 - 8*c + 4. Let j be w(-4). Solve d*z = j - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -132?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (-97 + 104)*18\/21.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - j = -p + 126, 2*j - 63 = -p. Calculate the greatest common divisor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (189\/(-36))\/((-24)\/(-32))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26100)\/12760*66\/3?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-325)\/(-45) - (-2)\/(-9). Let r = 67 + -39. What is the highest common factor of p and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 + 6)*(1 + 0 + 0)*(-5 + 3*c + 5 + (-1 - 1 + 1)*(-c + 0*c + 0*c) + 0*c + c - 2*c)*(0*c - c - c).\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**5 - 1066*b**4 - 39469*b**3 - 223706*b**2 = 0.\nAnswer: -29, -7, 0, 1102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 91, 31, -75, -233, -449?\n\"Answer: -g**3 - 17*g**2 - 2*g + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4427, 4424, 4419, 4412, 4403, 4392?\n\"Answer: -z**2 + 4428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z**2. Let r(o) = 3*o - 11*o + 11*o. Determine r(d(w)).\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291517.\nAnswer: 19, 67, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtq when three letters picked without replacement from {q: 2, u: 11, t: 1}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-35 - -49) - 13.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 2*i**2 + 16*i + 21. Find the first derivative of m(r) wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 17*o + 13. Let r be f(17). Suppose -d - 22 = -5*q, -2*d + 3*d - r = -2*q. Solve -q*i - 30 = -25 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 143*o**2. Let g(i) = 30*i - 2. Let z(k) = 10*k - 1. Let h(u) = -2*g(u) + 4*z(u). Give h(t(s)).\nAnswer: -2860*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96 + -95.8. Put c, 86, -3 in increasing order.\nAnswer: -3, c, 86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1700, -3\/2, 2\/21, -3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*m + 108 = -12*m. Suppose -5*q = -w - m - 2, -4*w = -3*q - 2. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*n**3 + 33*n**3 - 101*n**3 + 2*n**2 + 12*n**3 + 2*n in the form j*n**3 + h + x*n**2 + c*n and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -1. Let i(g) = -g**2 - g - 6. Let z be i(0). Let r = m - z. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(119) - sqrt(119)*2)\/sqrt(7) + -2.\nAnswer: -sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 53 + 55. Let j be (0\/(2 + 1))\/z. Solve j*x - 4*o = 2*x + 4, -4*x + 16 = -4*o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 2)\/(1 - 0). Let u = -81.37 - -84.37. Let x = 0.2 - 0. What is the closest to x in t, u, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -865*c**3 + c + 1. Suppose -3*q = -u + 15, 2 = u - 4*q - 18. Let f be (3 - 4)\/(u - (0 - 1)). Is p(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 15 = -0*l. Suppose 0 = -k - 5*k. Suppose 5*b - 4*s = -0*s + 204, k = 2*b + 4*s - 76. What is the highest common divisor of b and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*o - 82 = -2*m, m - 3*o = -18. Let f be 25\/m + 4\/((-24)\/(-5)). Solve f*d + d + 4*s = 13, 0 = d + 3*s - 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 502*g**2 - 427*g + 19. What is the hundreds digit of r(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-2)\/60*-5.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 965, 1931, 2901, 3887, 4901, 5955?\n\"Answer: 2*p**3 - 10*p**2 + 982*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 337 - 334. Suppose -3*n = -s + 610, -3*s + 1090 = -5*n - 752. Suppose g*d - 152 = s. Is d a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*v + 656 - 656.\nAnswer: -203*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.62923 at most as big as -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5663 (base 14) in base 11?\nAnswer: 10291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 345872527*a**4 - 502*a**2 - 10977*a wrt a?\nAnswer: 8300940648*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m + 0*m + 2 + m. Suppose 2*c + 17 = -v, -v = -c + 29 - 33. Give z(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -4, -16\/57 in descending order.\nAnswer: 2\/5, -16\/57, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r - 151 = 83 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 19546512.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 0. Let f be 34\/(-4) - t\/(-6). Calculate the smallest common multiple of 14 and 11\/3 - f\/21.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37170094 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7\/(-45))\/(73017\/(-504165)))\/((10\/(-12))\/(-5))?\nAnswer: 58\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 3\/((-6)\/40). Let x = 39 + t. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 12 + 2*k**3 + (2*k**2 + 0*k**2 - k**2 + (0*k + k + k)*(5*k - 5*k + k))*(2 + 2*k - 2) to the form p*k**3 + x*k + d*k**2 + s and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4476335 is divided by 1055?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -916\/89 or 0.1?\nAnswer: -916\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7025*q**2 - 4*q + 417 wrt q?\nAnswer: 14050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 - -2.8. Let k = -58.17 + -3.23. Let q = 65 + k. Is h bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1412 is divided by 220.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + (2 + -1*sqrt(1800) - (0 + sqrt(1800))*5))**2.\nAnswer: 64800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 u, and 1 g when four letters picked without replacement from ggguwuuuugwguuguug.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -80 + 71 + -1 + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p**2 - 2*p + 2. Let f(x) = -x**2 - x. Let r(m) = -6*f(m) - k(m). Let a be r(5). Suppose -2*c = 5*d + a - 36, -3*d = -15. Is c <= 2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 13*v**2 - 22*v - 3. Let m be n(16). Let u = 510 - m. What is the remainder when u is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 7:53 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**2 + 3 - 3)*(-9*h + 4*h - 24*h)*(556*h - 803*h + 417*h) in the form i*h**2 + d + p*h + u*h**3 + n*h**4 and give n.\nAnswer: -9860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**2*b))\/(b*b**8)*(b\/(b\/b**2))**32 assuming b is positive.\nAnswer: b**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/13 + 3888\/11583.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120 - -116. Which is the third biggest value? (a) 7\/2 (b) y (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -12*l**3 - l**2 + 4*l. Let g(d) = -d. Give c(y) + 4*g(y).\nAnswer: -12*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**3 - 54372*k**2 + 184688064*k + 554553648 = 0.\nAnswer: -3, 6798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 135 = 21. Let l be (-4 - z\/(-8))\/((-2)\/(-3448)). Let u = -6486\/5 - l. Find the common denominator of u and 23\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x. Let n be u(2). Let y(t) = t**3 - t**2 + t - 1. Let j(a) = 6*a**3 - 4*a**2 + 4*a - 6. Let f(z) = n*y(z) - 2*j(z). Factor f(h).\nAnswer: -2*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6118 - 86.3118. Round j to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358.896 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 1669*j**5\/5 - j**4\/4 + 17*j**3\/3 + 9*j**2 + 13*j + 45. Find the third derivative of m(z) wrt z.\nAnswer: 40056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143.7370152 rounded to zero decimal places?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 811, 1720, 2855, 4330, 6259, 8756, 11935, 15910?\n\"Answer: 19*k**3 - k**2 + 779*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-3)\/(-336)*48)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 81 - (-10)\/(-17 - -7)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*g**2 - 254 + 205*g**2 + 2*g - 102*g**2 - 478 in the form b*g + m + f*g**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvxxbxvxbxxxxxxxb. What is prob of picking 2 x?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 1) + -159 + -2. Let r = c + 629\/4. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34684.81227 rounded to the nearest one thousand?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/801688 and -21\/6992?\nAnswer: 30464144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0272, -4\/15, 10, -0.03?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 64 + 79\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 4*i + 2*i)*(-105 - 647 + 220 - 555) to g + a*i and give a.\nAnswer: 1087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10, -15, -16, -13, -6?\n\"Answer: 2*t**2 - 11*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.272 (b) -8 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/60*-5*-1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5975292?\nAnswer: 2, 3, 449, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + y**2 - y + 1. Let s(j) = j**2 + 3*j + 7. Let b(r) = -2*i(r) + s(r). Let f be b(-2). Let m = -12 + 8. Put -2, m, f in increasing order.\nAnswer: m, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -606 and -0.048.\nAnswer: -606.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 534\nAnswer: -5\/534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1733*s**3 - 3*s**2 - 49*s - 2. Let m(c) = -3457*c**3 - 7*c**2 - 96*c - 4. Let i(u) = 3*m(u) - 7*y(u). What is the second derivative of i(h) wrt h?\nAnswer: 10560*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 0.9. Let n = -0.512 + d. Let f = 0.0119977 + n. What is f rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - d - 10*d**2 + 7*d**2 + 4*d + 2 - 2*d**3 to the form g*d**2 + o + b*d + j*d**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003438795 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1018 - 9a?\nAnswer: -1107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 - 135 = -72*d + 152 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 17*x + 33. Let q be a(-15). Solve -q*j - 2 = 13 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 153 = -2*c + 147, 0 = -k - c - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 6*x**2 - 1538*x + 7677. Calculate q(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1911 = 3*k + 639. Let w = -261 + k. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (598 + -1)*(-48)\/(-72)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in decades?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -3. Does 11 divide (-986)\/(-30) + n\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, u: 5, w: 4}. What is prob of sequence ou?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -111*j**2 + 1339*j - 5. Calculate n(12).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {d: 9, q: 3, p: 4}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0*40\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30051 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 6 + 27 = 0. Suppose -h - 4 = -c. Let g be 1*(2 - h)*0. Solve g = -5*z + d - 3*d + 18, -d - 4 = -4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t - 1. Let s(w) = 7*w + 1. Let p(n) = 4*q(n) + s(n). Let v be p(-2). Solve -v*k + 12 = -19*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1502 + -0.0243\nAnswer: 1501.9757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - o = -3, y + 3*y - 12 = o. Suppose 7*r - y*r - 4 = 0. Solve p - 3 = -r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -567.89 + 11.53.\nAnswer: -556.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/42)\/(2\/(-3)). Let m(l) = l**3 + l**2 - 4*l + 4. Let s be m(-3). What is the second smallest value in s, q, 3\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 5*b. Let n be r(-4). Let j = 21 - n. Suppose 0 = 4*f - j + 1. Solve 2 = 2*h - f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, c: 2, e: 1, r: 1, x: 6}. What is prob of sequence rtec?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 226, -55, -336, -617, -898?\nAnswer: -1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*g - 6*g + 8*g in the form r*g + m and give r.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/8 - (-66)\/24. Find the second derivative of -4*j + 4*j + 2*j**4 - b*j wrt j.\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (19 - 6) + (-2)\/2. Suppose -4*y - 9 = 27. Let z = b + y. Solve p - z = 2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1132, 1131, 1130, 1129?\nAnswer: 1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5680 rounded to the nearest 100?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 20\/2085501?\nAnswer: 20\/2085501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 141\/14 - 39\/7. Let y = -12992 - -181781\/14. What is the common denominator of y and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**3 - 48077 + 20624 - 61059.\nAnswer: 10*o**3 - 88512","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14303 + 31772?\nAnswer: 15467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 321.6947m in millimeters?\nAnswer: 321694.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52616845 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mykyumybuumuu. Give prob of picking 1 y and 1 m.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8966?\nAnswer: 2, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 3 + 0*d + d**2 + 6*d - 1. Let f(v) = -v - 1. Suppose -3*b - 6 = c - 2, -2*c = -b - 6. Let k be f(c). Determine z(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*i - 8, -a + 3*i + 67 = 0. Let r be 240\/115 + -4*(-6)\/(-276). What is k in -a*k + 10*k**2 - 2*k**2 - 16 + 4*k**2 + 2*k**r = 0?\nAnswer: -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + x + 1. Let h(y) = 5*y**2 + 2*y - 4. Let s = 6 - 11. Let i = 9 + s. Let o(k) = i*w(k) + h(k). Factor o(j).\nAnswer: 3*j*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21295e (base 15) in base 3?\nAnswer: 2222011221022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-246)\/(-328)*64\/30.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00477249 rounded to five dps?\nAnswer: 0.00477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28847 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 304729, 609419, 914107, 1218793, 1523477, 1828159?\n\"Answer: -d**2 + 304693*d + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/(-18) - (-4)\/18. Let 14*x + b + 2*x**2 - 6*x + 1 + 6 = 0. What is x?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -aaa5 (base 13) in base 4?\nAnswer: -11303303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-three halves of a second?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351\/36*(-32)\/(-6) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-23)\/(-20) + (-72)\/180. Which is the nearest to -2\/13? (a) -32 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-8))\/((-3)\/(-132)). Let d = k - -20. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1345 is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18748 and 63898?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 = -4*t + 187. Suppose t = 3*x + 2*x. Let h = -9 - -15. What is the remainder when x is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -5. Let z = p + -3. What is the remainder when z is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6711797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (23 - 1)*(-36)\/(-99). Solve -11*r = -13*r + l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6869 + -16244. Is -9373 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 t when three letters picked without replacement from ttkttwtytyycywttt?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 11*f - 9. Give l(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + v - 10 - 5 to the form h*v + i and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 257, 508, 759, 1010?\n\"Answer: 251*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 289, 2, 5, 1\/3, 0.1, -155?\nAnswer: 289","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4894852 - -41\nAnswer: -4894811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5396731 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*g**3 - 23*g**3 - 32*g**3.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -8. Let -20*n**4 + 1 - k*n**3 - 1 + 7*n**3 = 0. What is n?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9074747 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77.1 + 77.121. Let s = -387.121 - -396.5. Let u = i + s. What is u rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 11:34 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15 * -2608234\nAnswer: -39123510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/12)\/((-6)\/(-192)). Suppose b - 15 = -5*p, -3*p = -4*b - a - 8. Suppose 34 - 9 = j. Solve n + p*n - j = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212122110210 (base 3) to base 11\nAnswer: -298774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2979726, 2979733, 2979740, 2979747, 2979754, 2979761?\nAnswer: 2979768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 15*l - 7*l - 2*l - 7*l as g + b*l and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/3, 1, 0.2, 41, 3\/67 in increasing order.\nAnswer: -1, 3\/67, 0.2, 1\/3, 1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from {i: 10, u: 2, x: 4, h: 4}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2. Let p(y) = -y**3 - 5*y**2 - 2*y - 8. Let n be p(-5). Let l(i) = 5*i - 18*i + n*i. Calculate w(l(r)).\nAnswer: 242*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 3*z - 3*z**2 + 4*z + z**3 + 4*z**2. Calculate p(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.182 + 1.182. Which is the smallest value? (a) s (b) 2\/3 (c) 3\/44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.56*-3574\nAnswer: 2001.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 15*t.\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-1 - -4) - -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7577319.\nAnswer: 3, 83, 30431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7*-1*2\/2. Let g be 1 - -2 - 18\/f. What is the closest to 1 in 2\/3, 4, g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2271*a - 18 = -2269*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**4\/15 + 4*v**3\/3 + 10*v**2 + 16*v. Determine w, given that y(w) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 12 = -4*p + 8*p, -2*p - 2*z = -6. Let y = 7 + -2. Let s = y - 5. Which is the nearest to 1? (a) -4 (b) s (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 13 - 5 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12059 divided by 13?\nAnswer: -12059\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 539775 + (-15 + 70\/7 - -1*13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b + 21. Let d = -497 + 494. Let n be s(d). Solve 0 = -3*z - u + 2, -2*u + 0 - 14 = -n*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76268797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*k, 4*v - 3*k + 2 = -2*k. Suppose d - 4 = 0, -4*d + 10 + 6 = -o. Is o not equal to v?\nAnswer: False","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 {d: 5, s: 3, m: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14520 (base 7) to base 12\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 0.17, 2\/3, 1\/154, -1\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595536.\nAnswer: 2, 3, 19, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*s**2 + 3)*(1 + 2 - 1).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-10)\/80)\/((-61)\/(-3294))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 w, and 2 y when four letters picked without replacement from ywyyryyyyyyryy.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8234*w**5 + 722*w**4 + 99*w**2 + 41865*w?\nAnswer: 494040*w**2 + 17328*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 802387253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/2)\/(1\/2) + 5. Which is the nearest to x? (a) 2 (b) -43 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120.68 + -121. Let u = -0.42 - l. Which is the second biggest value? (a) -3 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -3*l - 3. Let u = -135 + 37. Let g = 144 + u. Calculate the remainder when g is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 22. Let z(w) = -4*w - 5. Let m be z(3). Let k be o(m). Let q = 17 - 5. Solve 5*a + q = -v, -v - k*a - 6 = -2*a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -21 + 47 + 8 + 4*j - 23 - 24. Let c(p) be the third derivative of p**4\/4 - 10*p**3\/3 + p**2. What is -5*c(v) + 8*r(v)?\nAnswer: 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000041304 (base 5) to base 12.\nAnswer: 7a3a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -y + 5*y, 0 = -2*y - 2. Suppose 6*w + 6 = h*w. What is the tens digit of 0\/w + 9 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (9 - (-143)\/(-11)). Let v(u) = 13*u**2 - 5*u + 8. Let x(p) = -13*p**2 + 6*p - 9. Determine c*x(r) + 6*v(r).\nAnswer: 13*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006215501378 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 - 26. Let g(z) = -19*z**2 + z - z + 14*z**2. Determine n(g(j)).\nAnswer: -50*j**4 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2898466406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/660 in -10, -1\/294, 0.5?\nAnswer: -1\/294","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = -27*y - 54 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 0, -0.01 in descending order.\nAnswer: 5, 0, -0.01, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0018 and 0.2?\nAnswer: 0.2018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-2)*((-110)\/(-11))\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - 1474*q + 7382. What is v(5)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 = 3*j, 2*j - 8 = -3*i - 0*j. Suppose 5*b - 5 = 25. Suppose b = -i*q + 4*q. Solve -u = q*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*o**2 + 568*o - 448.\nAnswer: -2*(o - 56)*(5*o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0. Let b be 6\/21 + 394\/(-7). Let k be (5\/(-4))\/(7\/b). Solve 2*w = -n*w - k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*r + 148*r = 73*r + 6718340. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3585847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8\/7, -1, -24, 4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*y + 2*y - 7 = 0, -y = 2*k - 7. Let u = k + 20. Calculate the remainder when 81 is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 639*w**5 + 1898*w wrt w.\nAnswer: 12780*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 - 109. What is the nearest to -7 in 0, 0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1298 + -9105\/7. Suppose 5*q + 2217 = -m, -3*m + 2229 = -7*q + 2*q. Calculate the common denominator of f and (q\/(-32))\/(10\/8).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -43, 383, -5, -4 in descending order.\nAnswer: 383, -1, -4, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5\/20 + -4)*-32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**2 + 7413*o + o**3 - 1088*o**5 - o**3 - 7084*o wrt o.\nAnswer: -65280*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 0\/(-3) - -1. Suppose -2*h - 128 = b*h. Let k be 2\/(-6) + h\/(-6). Put -3, k, 2 in decreasing order.\nAnswer: k, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-45)\/(-2))\/((10\/(-4))\/(-5)). Is y > 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7994 - 7989. Which is the closest to -0.1? (a) g (b) -0.04 (c) -80 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-90)\/(-48)*(-4)\/10. Suppose -3*i = 5*a + 187, -5*i - 3*a = 504 - 171. Let f be 1 + i\/15 + (-10)\/25. What is the nearest to g in 0.3, f, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -226 + 231. What are the prime factors of ((-30)\/135 - 25\/9) + p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1512 (base 16) in base 2?\nAnswer: -1010100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-5 - 15) - -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**3\/3 - 14428*y**2\/3 + 144580*y\/3 - 361700\/3 = 0.\nAnswer: -3617, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/20 and -71\/23108868.\nAnswer: 115544340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -0.6, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 9*s - 21. Suppose -2*n = -h - h + 22, h = 5*n + 47. Let m be b(n). Does 54 divide m\/(-5) + -4 - 1184\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 14*w - 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, o: 2}. What is prob of sequence oi?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7215, 7234, 7257, 7284?\nAnswer: 7315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.65089 + 0.15089. Let w = -0.2 - 0.8. Let i = w + -2. Which is the biggest value? (a) i (b) -0.06 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 + 49*f + 92. Let y be v(23). Let h = -12 + 35. Calculate the greatest common factor of h and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:47 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 12, 5, -0.08, -196 in decreasing order.\nAnswer: 12, 5, -0.08, -0.5, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/81*128\/(14336\/48).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 474.9805 rounded to the nearest ten?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**17)*u**10*(u\/(u\/u**(1\/12)))**41 assuming u is positive.\nAnswer: u**(-43\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c - 6 = 0. Factor -4*p + 3*p**c - p**2 + 5*p + 3*p**3 + p**4 + p**2.\nAnswer: p*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 42*d**5 - 7*d**3\/3 + 4*d**2 - 106. What is the third derivative of g(j) wrt j?\nAnswer: 5040*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in -4, -17, -35, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 5*b - 90. Let o be t(15). Solve 0 = -30*h - o - 120 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p*x**4 - 44*p - 150579*x**4 - 99*x**3 + 751*x**2 + 85 wrt x?\nAnswer: 48*p*x - 3613896*x - 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6\/787 + 11108\/11805. Solve -c*h + 2\/5*h**2 - 4\/5 = 0.\nAnswer: -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 10*b + 5. Let x = -57 - -67. Let k be o(x). What is the highest common factor of k and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2698 + 691 - 464 + 1268)*(-5*i - 3*i**2 + 4*i - 2 + 5*i**2).\nAnswer: 8386*i**2 - 4193*i - 8386","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) 1 (b) -1\/9 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -1 - 10. Suppose 7*j - 75 = 4*j. Let c = j + t. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.4 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -10. Let x = -41 + 76. Calculate the greatest common factor of x and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40301 = -528*b - 30979 for b.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1643.9 + -1556. Let n = l + -118. What is n rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ryrveyyryrvyrjr. Give prob of sequence rrr.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 g when three letters picked without replacement from {g: 2, u: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d + 4*d + 2*d**2 + (-18 + 17 + 16)*(271 - 39*d**2 - 271) as o + w*d + z*d**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 17. Let i(h) = -h**3 + 5*h**2 + 3*h + 6. Let s = 14 + -8. Let r be i(s). Which is the nearest to r? (a) -3 (b) n (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/19 + 28\/95. Let r be (-6)\/(-7)*(21636\/288 + -76). Sort 3\/8, l, r, -4\/7 in decreasing order.\nAnswer: l, 3\/8, -4\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34970 plus 352.6232939?\nAnswer: 35322.6232939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + 34 - 55) + (3 - -80)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 3, 468*r + 5*a = 469*r - 317. What is the smallest common multiple of 24 and r?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.038542*10.\nAnswer: -0.38542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15170972?\nAnswer: 2, 3792743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -169*t**2 - 174*t**2 - 169*t**2 + 4 - 9*t - 175*t**2 + 686*t**2. Let v = -27 + 19. Calculate a(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6*(29 - 374). Differentiate -64 - 9 + 16*c**2 - 16*c**2 + g*c**3 with respect to c.\nAnswer: 345*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-2 - (-1 - 2)). Let x be 10\/6 + (-2)\/(-6). Find the third derivative of 2*w**2 - 2*w**5 - w**x + j*w**5 wrt w.\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - a**2 - a**2)*(2805*a**2 - 5690*a**2 + 2556*a**2) + (a**3 - a**3 + a**3)*(-2*a - a + 0*a).\nAnswer: -332*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*d + 85*d + 80 = 0. What are the prime factors of 188 + -4 + 3 + d\/(-5)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291a27 (base 14) in base 6?\nAnswer: 50322243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -86*l**2 - 10*l + 4. Let n be i(11). Let g be (-1)\/(4*(-4)\/n). Let p = g - -1340. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 376 = -5808. Let s = i + 1002. List the prime factors of s.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95993, 114449, 132903, 151355, 169805, 188253, 206699?\nAnswer: 225143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 390, -1, -2\/15, 1, -0.4.\nAnswer: -1, -0.4, -2\/15, 1, 390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(14\/9)))**(5\/4) assuming y is positive.\nAnswer: y**(-35\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**4 + 815167*f**3 - 441064*f**2?\nAnswer: 48*f + 4891002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 272.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/10 + 64\/(-10). Let v(q) = 571*q + 6. Let m be v(k). Let d = 8920 + m. What is d rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + -2. Let w = -9.03 - u. What is the second smallest value in -1\/5, -1, w?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + -4 - (-57 + 2)) + (-7 - 7)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, t: 4, i: 4, w: 1, g: 5}. Give prob of sequence zgt.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35651 = 1636*n - 41837 - 66480 for n.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -8. Suppose g*n - 4 = -5*k + k, -8 = -2*k - n. Solve -5*l - 3*s = 15, -s - k = 2*l - 3*s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3*x**2 + 11*a**3*x + 787*a**3 + 561302*a**2*x**2 + 12*a*x wrt x.\nAnswer: 2*a**3 + 1122604*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1cd0c + -2c0?\nAnswer: -1d1cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 8*t = 196. Let w = t - -141. What are the prime factors of w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a715a + 1?\nAnswer: -a7159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -488 - -488.0000211. What is k rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 539, -3, 3 in decreasing order.\nAnswer: 539, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(3\/5)*h)\/((h*h**2)\/h))\/(h**(-2\/3))**(15\/2) assuming h is positive.\nAnswer: h**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**3\/6 - 3*p**2 - 105*p + 2. Suppose -10*u + 23*u - 104 = 0. What is y(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -13. List the prime factors of a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 427 + 76. Suppose n - 489 = 7*q. Let m(h) = -h + 2. Give m(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 33. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 - 3*w**3 + 0*w**3 + 0*w**3 + 0*w**3 - 3*w**3 + (-2*w**2 + 0*w + 0*w)*(w - 6*w + 3*w) + (-2 + 2 - 3*w**2)*(0 + 2*w + 0).\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gge when three letters picked without replacement from gegrrrgrrggrgg.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rofoxgoooxhghhhhho. Give prob of picking 2 g.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3097.96821 and 5?\nAnswer: -15489.84105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(5\/3)*(((j**(-11)\/j)\/j)\/j)\/j*j)**47 assuming j is positive.\nAnswer: j**(-1739\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + 37. Let w = 64 - r. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 4:28 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1375 (base 8) to base 4\nAnswer: -23331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 9:49 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 17}. What is prob of picking 2 a?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**2 - s - 1. Suppose -5*d = -4*v + 2*v + 8, -v = -5*d - 9. Suppose -4*l = -147 + 7. What is the remainder when l is divided by f(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 498624 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7064785769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22672819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -q**2 - 321 - 132 - 398 - 249 + 181 - 81*q wrt q?\nAnswer: -2*q - 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/190)\/(9\/(-6)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-6\/5)*p))**(-1\/25) assuming p is positive.\nAnswer: p**(-6\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*y - 49*y - 9 = 0. Solve 3*f - 2*f + y*q = -1, 4*f + 4*q - 12 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 + 2*p**2 + 7*p - 6. Let z(c) = -6*c**3 + 6*c**2 + 20*c - 17. Determine 17*l(h) - 6*z(h).\nAnswer: 2*h**3 - 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-58)\/6)\/((-12)\/108). Suppose -m = -2*m + p. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/((-2)\/108). Suppose -3*b - 2*l = -2*b - 4, 8 = b + l. What is the greatest common factor of b and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 - 3)*((-41 + 41 + 64)*(2*r**2 - 2*r + 2*r) + 4*r**2 - 2*r**2 - 3*r**2).\nAnswer: -1016*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -2*g + q + 8, 0 = -3*g + q - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (56*m - 15*m - 21*m)*(m - 2*m - 2*m) to v + p*m**2 + w*m and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h - 138 = 0. Suppose 161 - 52 = p + q, 0 = p + 5*q - 109. Let k = p + h. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 = 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1135 - 67*z - 1135)*(2*z + z**4 + 0*z + 3*z**4).\nAnswer: -268*z**5 - 134*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 21200201?\nAnswer: -21200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.26517.\nAnswer: -0.26517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = d - 0 - 13, -v + 1 = 2*d. Let c = -0.4 - -0.5. Let z = -0.3 - c. What is the biggest value in z, -3, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*z = 192*z + 36. Solve 0*u = -6*u + z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.140481 bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -10110000100101?\nAnswer: -10110000100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 8:42 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40370 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 11. Suppose -2*i = -4*n + 48, 3*n - u*i - 6 - 37 = 0. Calculate the remainder when 21 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (397 + 35*j - 397)*(6 - 2*j - 6) + (-2*j**2 + 6 - 3 - 4)*(13 - 8 + 10) to l*j + f*j**2 + o and give f.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 7882*a + 4049147. Give h(484).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -170, 25, -4, 25611.\nAnswer: -170, -4, 25, 25611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1724, -3, 1 in descending order.\nAnswer: 1724, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s + 68*s**2 + 3*s + 11*s + 90 - 69*s**2 + 0 in the form m + n*s + t*s**2 and give m.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(sqrt(5) - -2*sqrt(5) - sqrt(5)) - (sqrt(272) + 1))**2.\nAnswer: 7*sqrt(17) + 837\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g**(-3)\/g*g)\/g*g))\/g**(-4))**17\/((g\/g**(-1\/5))\/(g**(-7)*g)*g**(2\/11)\/((g**(3\/4)*g)\/g)) assuming g is positive.\nAnswer: g**(24721\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5706 + -4438. What is the remainder when b is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/2 + 251*v**3\/2 - 114298*v**2 + 8583402*v = 0. What is v?\nAnswer: -646, 0, 86, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o = 12 - 107. Solve -2 = -o*d + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d**3\/3 - 6988928*d**2\/3 - 1221123671362*d\/3 + 488452823236 = 0. What is d?\nAnswer: -349447, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qibbizcqqqbbzi. What is prob of picking 1 b, 2 q, and 1 i?\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-8778)\/(-18))*(397 + -404)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**3*z**3 + 2*l**3*z**2 - 5*l**3*z - 17*l**3 - l**2*z**3 + 5*l**2*z**2 - 32*l*z - 495457789*z**3 - 154 wrt z?\nAnswer: 6*l**3 - 6*l**2 - 2972746734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0537481 rounded to three decimal places?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -18\/19249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9997 by 1172.\nAnswer: 9997\/1172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 84012702.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 348.51 + -350. Let f = c - -1.49000146. What is f rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22313.\nAnswer: 53, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48468 + 48468.418771. Let t = -0.0088 + b. Let x = -0.41 + t. What is x rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.6, 13, 2\/17, 0.1, 1\/14?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1792) - (sqrt(1792) - (sqrt(1792) - 2*sqrt(1792))))\/(-2*sqrt(484)).\nAnswer: 4*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5496 - -0.1496. Sort -881\/7, -0.2, t, -0.1 in increasing order.\nAnswer: -881\/7, t, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2958993430912 and 1?\nAnswer: 2958993430913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-200)\/(-48) + -3 + 0. Let l(f) = f**3 + 8*f**2 - 11. Let i be l(-8). Let q = i + 13. Is j less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i + 3. Let u = 13 + -5. Let t(v) = 14*v + 8. Let w(g) = u*q(g) - 3*t(g). Let x(y) = 7*y. Give w(x(k)).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-803)\/146*3\/11*-4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101460 is divided by 4530?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (-16)\/(-10))*5. Suppose 55 = 5*m - 2*b, 2*b = p*m + 6*b + 2. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 3*c + 4. Let h be a(3). Let g be (1 - h)\/((-3)\/5). Put g, -11, 2 in decreasing order.\nAnswer: g, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 take away -238.57?\nAnswer: 238.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 328, 653, 978, 1303, 1628?\nAnswer: 1953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13476 - 5?\nAnswer: -13480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a minute in seconds?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2247, 4323, 6031, 7191, 7623, 7147, 5583, 2751?\nAnswer: -1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 1. Let q(u) = 4*u. Determine -q(l) + 2*w(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**2 + 12 - 11 - 19 + 18.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g - 4*n - 105, -4*g + 84 = n. Calculate the smallest common multiple of 2 and (g + -18)\/(6\/14).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7)\/((d\/(d**(-4\/15)\/d))\/d*d))\/(d**(-2\/13)*d**14) assuming d is positive.\nAnswer: d**(-22384\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 0)*(-65)\/(-9). Let i = p + -7. Let s be (-9 + 190\/20)\/(2\/(-4)). Sort 2\/35, i, s in ascending order.\nAnswer: s, 2\/35, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**4\/2 - 469731*w**3\/2 - 3757563*w**2\/2 + 14560851*w\/2 - 5166777 = 0 for w.\nAnswer: -156569, -11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3*0.3740255.\nAnswer: 0.48623315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 1326.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 4 (c) -2 (d) 1\/41 (e) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + u - 2, 3*q + 3*u - 2 = 4. Let a(i) = i**2 + i + 2. Let h be a(q). Let c be (10 - 2) + (-1 - -1). Solve -6*l + h*l = c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 72*a**2 + 35003*a + 5358. Give c(-486).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 4*b - 334, 0*b = -3*a + 2*b - 328. What is the units digit of (38\/5)\/((-22)\/a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 353631144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + -4 + (-4 - -14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1970279?\nAnswer: 1970279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27513070 to the nearest integer?\nAnswer: 5245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -139\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -13. Let a(y) be the first derivative of y**4\/4 - 7*y**3\/3 + 3*y**2\/2 - 5*y + 3. What is the smallest common multiple of 12 and a(r)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 15. Let w be l(13). Solve w*y - 5 = 7*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/93082 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.803*-1.\nAnswer: 5.803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -11332523?\nAnswer: 11332522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130438, -129192, -127946, -126700?\nAnswer: -125454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0499 + 80.9501. Let f = b - 572. Is 0.1 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + 46. What is the biggest value in z, -0.4, -5, -2\/17?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l + 3. Let k(f) = f + 1. Let g(x) = -h(x) - 6*k(x). Let w(r) = 2*r. Give g(w(n)).\nAnswer: -4*n - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1040401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -14, 1\/8, -0.14 in descending order.\nAnswer: 1\/8, -0.14, -5\/4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 968\/7939 - 2\/467. Let w = -43\/68 - g. Sort 0.06, w, -4 in increasing order.\nAnswer: -4, w, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1684472.\nAnswer: 2, 239, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0626599 to 4 dps.\nAnswer: -0.0627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -28, -1880*t = -1877*t + 5*h - 919. Calculate the remainder when t is divided by (-3 - (-15)\/(-9))*-3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxgg when four letters picked without replacement from glxlpxllgsxxplglpx.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -55. Let m be -1 - (-4 - -5) - 31. Let p = m + 39. What is the remainder when n is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 191642382?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6872 and 19196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**5 - 95*z**4 - 150*z**3 + 350*z**2 + 155*z - 255 = 0.\nAnswer: -17, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62\/159 - -3\/53. Which is the third smallest value? (a) 1\/3 (b) -4\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16753?\nAnswer: 11, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0679608 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 120\/6 + (0 - -1 - -1). Let x = w + -20. Let j be -4 + 3 - 8\/(-2). Solve 5*o = -2*p - p + 35, -23 = -j*p - x*o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*r = 2*m - 11, -4*m = -3*r - 17. Suppose -m*z = 5*z + 610. Let t = 185 + z. Is 20 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 + 3*d**2 - 3*d - 4. Let g(i) = -6*i**3 + 8*i**2 - 8*i - 11. Give -8*f(m) + 3*g(m).\nAnswer: -2*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2734 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18638 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -27. Let d be 7\/(-14) + k\/6. Sort d, -5, 0, -1 in descending order.\nAnswer: d, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -10)\/(-1)*-621 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebbmoeblboobbl. What is prob of sequence lb?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 0.1, -23 in decreasing order.\nAnswer: 0.7, 0.1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1450 and 70731?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10239 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*g - 9, 2*g + 1 + 1 = 2*c. Suppose 1 + g = d. List the prime factors of d*-2*(-5)\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 21*y**2 - y - 32. Is q(-8) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5\/6))**41\/(p\/p**5)**(-6\/7) assuming p is positive.\nAnswer: p**(-1579\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23680 - -3949. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -27\/2*k**5 - 957\/2*k**3 - 279\/2*k**4 - 90 - 1341\/2*k**2 - 408*k = 0.\nAnswer: -5, -3, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22081, 88457, 199083, 353959, 553085?\n\"Answer: 22125*y**2 + y - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 176\/(-308)*1\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2409219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -298, -594, -890, -1186?\nAnswer: -1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - g = -1, -2*w - g - 2 = -5*g. Let o(b) = 31*b**2 - 3*b - 2. Let y be o(w). Solve y = -4*z + 12 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*o**2 + 14*o**2 - 6*o**5 + (o**4 + o**4 - 3*o**4)*(-10 + 6*o + 10).\nAnswer: -12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 25. Suppose -3*j - k*z + 43 = -0*z, -3*z = -j + 29. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7*j**3 - j**2 - 2*j. What is the remainder when 93 is divided by c(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1\/(p\/(p\/(p*(p\/p**(-5))\/p)*p)*p))**(-4\/5) assuming p is positive.\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14527670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -6 and -0.510750745689.\nAnswer: -6.510750745689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 30. Suppose 2*u + 4*z + 65 = 81, 2 = -2*u + 2*z. Solve 5*j + 4 = -d - 5, -5*d + u*j + s = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-9) - (-16)\/(-6). Let s be 0 + (a - -1) + 0. Let v be ((-13)\/s)\/(1 + 0). Calculate the greatest common factor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 17*m - 37. Give y(10).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i - 74. Determine f(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**8\/112 - 11*c**6\/15 + c**5\/20 - 61*c**3\/3 - 2*c**2 - 1055*c. What is the third derivative of f(a) wrt a?\nAnswer: 180*a**2 - 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-171)\/(-4) - (-2)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/17, 2\/9, -4, 2\/47, 1285, 1\/4?\nAnswer: 1285","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 406.\nAnswer: 24360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -223, -219, -213, -205?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 3*i. Suppose c - 5*j + 12 = 0, i*c - c - 4 = -3*j. Solve d - c = 5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/33, 4, 1082\/9 in descending order.\nAnswer: 1082\/9, 4, -2\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/20184 and 99\/1557532?\nAnswer: 9345192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 0 + 0*l - 1\/6*l**4 - l**2 - 1\/60*l**5 - 1\/2*l**3. What is g(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a day in hours?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzzz when four letters picked without replacement from {z: 5, y: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1001530 + -5?\nAnswer: 1001522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**2 + f + 5. Calculate the least common multiple of 6 and z(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 21*g**2 + 10*g - 5. Is a(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -194842?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 3. Let t(y) = 3*y - 8. Let d(g) = 8*j(g) - 3*t(g). Let b(f) be the second derivative of -f**4\/12 - 3*f. Calculate b(d(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12405132.\nAnswer: 2, 3, 344587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from zivzztizizzzizzzzttz.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 131297 + -131296.7. Let v = -0.4 - 0. Which is the smallest value? (a) l (b) 1.46 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(833)*1 - sqrt(833)) - ((sqrt(833) + -3*(sqrt(833) + -3) - sqrt(833)) + sqrt(833)))*-6)**2.\nAnswer: -9072*sqrt(17) + 122868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1\/6, 0.5, -8\/11.\nAnswer: -8\/11, -0.5, -1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 2:29 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 3 = 0, -6*g = -2*g + 3*u - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 255347 a multiple of 519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 4598?\nAnswer: 18392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 162 + -93. Suppose -2*i + f = i. What is the remainder when i is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*t - 29*t - 28*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/401056 and -71\/601584.\nAnswer: 1203168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 7) + 9 + -12 + -7 - 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 14 - 7. Suppose -2*v = 3*t - 105, 3*v = d*v - 4*t - 160. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4005 is divided by 3898?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1053) + (sqrt(13) - sqrt(117)\/(sqrt(90)\/sqrt(10))))**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 21*d**6\/10 - 443*d**5\/10 + 2387*d**2. Find the third derivative of x(s) wrt s.\nAnswer: 1512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -3) + 1 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 3:18 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2977*d**4 - 6*d**3 - 12343*d**2 + 6*d. Let z(x) = x**4 + x**3 + x**2 - x. Let p(t) = h(t) + 6*z(t). What is the third derivative of p(v) wrt v?\nAnswer: 71592*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 627 by 2.\nAnswer: 627\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 - 8. Is 26 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89.5*0.059\nAnswer: -5.2805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.2, 1681\/15, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -697112 < -5.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/17 and 113\/48.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 98796888 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeweeeweeeeeeeeewe. What is prob of sequence wew?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(52)\/(sqrt(4) + (sqrt(4) - sqrt(36)\/sqrt(9)*4))*-2 + 2 + (sqrt(65) + (sqrt(65)*-2 + sqrt(65) + sqrt(65))*4)\/sqrt(5).\nAnswer: 1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6*j**3 + j**2 + 3*j - 3. What is y(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 208849489 to the nearest integer?\nAnswer: 14452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4026 rounded to two dps?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 16.\nAnswer: 15\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1678644 and 107\/726.\nAnswer: 18465084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Suppose o*c + 13 = 45. Find the common denominator of -43\/14 and (-132)\/c*9\/60.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130123340 (base 5) to base 9\nAnswer: 1158877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1126088 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**3*l - 290*b**3*q - 197*b**2*l - 4*b**2*q - b*l*q + b*q wrt l.\nAnswer: 2*b**3 - 197*b**2 - b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93 - (16 + (-15 - (4 - 7) - -12))) + -16.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -142 - -232. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7230, -5, 3, 0 in ascending order.\nAnswer: -7230, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1835 and 87511104.\nAnswer: 87511103.8165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l - 47. Let k be u(12). Suppose 0 = b - o - k, -7*o - 7 = -4*b - 6*o. Solve -b*v = -4*t - 2, 2*v + 1 = 5*t + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - t - 2)*(1 - 1 + 5*t**2)*(16 - 30 - 37)*(4*t + 0 + 0) to u*t**4 + f*t + v*t**3 + h + x*t**2 and give u.\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.27317519 + 15.274. What is u rounded to five decimal places?\nAnswer: 0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 6*c + 83. Suppose 10*b + 24 = 46 + 98. What is f(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354651885 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 u = 676 + -671. Let k(w) be the second derivative of 0*w**4 - w + 0 + 0*w**3 + 9\/2*w**2 + 2\/5*w**u. Differentiate k(z) with respect to z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 9:09 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - n**2 + 9*n + 1120. What is the tens digit of w(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65 or -67?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txkh when four letters picked without replacement from {z: 2, x: 1, k: 2, t: 1, h: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 58 = -38 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34298337.\nAnswer: 3, 11432779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 102517, 102513, 102507, 102499, 102489, 102477, 102463?\n\"Answer: -c**2 - c + 102519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 623 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22398360 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -278258 + 2b2?\nAnswer: -277e96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 2274*r + 2279*r + 28 = 0, 2*c = r + 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 1. Let z(r) = -3*r + 13. Let a(y) = 1. Let k(d) = -2*a(d) - z(d). Let t be k(5). Let u be o(t). Solve -5*n - 6 + u = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0103617 rounded to four dps?\nAnswer: -0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -44*n**2\/3 + 1612*n - 3024 = 0. What is n?\nAnswer: 21\/11, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 7*z + 101634 = 25*z. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 48. Let l = n + 16. Let w(o) = o + 1. Let v(t) = -2*t - 5. Determine l*v(m) + 5*w(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-30)*b\/(((b*b**(-45)\/b*b)\/b)\/b)*((b*b\/(b*b**11))\/b*b)\/b**(-4\/19) assuming b is positive.\nAnswer: b**(137\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 68703341 a multiple of 1231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20560, -82116, -184658, -328186?\nAnswer: -512700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 - (12483\/152)\/(-40 - 0) and -77\/16.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1106363 - 23?\nAnswer: 1106340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**4 - 43*c**3 - 82*c**2 - 1322*c + 14 wrt c.\nAnswer: 24*c**2 - 258*c - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -340.51643 rounded to the nearest integer?\nAnswer: -341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130515504 (base 6) to base 2.\nAnswer: -1001110001001101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -30*l. Let n(s) = 2*s + 7. Let b = 25 + -18. Let r be n(b). Let h(y) = -2*y + 7*y - y - y. Determine r*h(k) + 2*u(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1204655 to three decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/33014 and -47\/20?\nAnswer: 330140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16701598*l**2 + 17*l**3 + 16701597*l**2 - 33403195*l**2.\nAnswer: 17*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 143*i + 212. Determine p(70).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f - 6 = 0. Suppose -16 = -f*v - 2*m, -4*m - 12 = 4*v - 36. Which is greater: 3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3\/13, -1\/7 in descending order.\nAnswer: 3\/13, -0.1, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ana when three letters picked without replacement from ntwayxax.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -28, 1.76, 3\/4, -2\/9, 10?\nAnswer: 1.76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1088) + 0)*2 - (sqrt(1088) + 0 + 3))**2.\nAnswer: -3291 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzz when three letters picked without replacement from mhhhmhhmmmzmzhhmhhz?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/238 and 79\/153?\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a**3 - 9*a**2 + 9*a**2)*(2*a - 1 + 1)*(2 + 2 - 6*a + 5).\nAnswer: 84*a**5 - 126*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1808a (base 14) to base 6.\nAnswer: 1144014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 16863*c - 3740958.\nAnswer: (c - 17082)*(c + 219)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 q when three letters picked without replacement from qqwqqooqqqwqooqq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*f + 83 - 943 = 0 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3*-2*(-780)\/(-80). Let q = i + 51\/8. Which is the fourth smallest value? (a) q (b) 0.4 (c) -3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 2*f + 22370 = 22373, -f = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/5 - 33984*g**2\/5 + 149326632*g\/5 - 8358685920.\nAnswer: 2*(g - 8346)**2*(g - 300)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1059324 is divided by 529652?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j + 6 = 156 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 12. Let b be -1 + (-8)\/(-2) - x. Let s = 1 - b. Which is greater: s or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -83?\nAnswer: -16.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2487*n**4 + 165*n**3 - 2*n - 29261542 with respect to n.\nAnswer: 9948*n**3 + 495*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 46003 divided by -179\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 26*x - 5. Determine z(-26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14494.4289 microseconds to weeks.\nAnswer: 0.00000002396565625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1943 is divided by 46.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c**2. Let b(w) = -103*w + 2. Give b(s(z)).\nAnswer: 618*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 24, -1\/2, 18, 3, 0.04?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3195863395790 + 28?\nAnswer: 3195863395818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -51122.983 rounded to the nearest ten?\nAnswer: -51120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 45 (b) 0.1 (c) 1\/34 (d) 4 (e) 120\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -640889*o**2 - 922301?\nAnswer: -1281778*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - s**2 + 3. Let n(w) = 49*w - w**3 - 102*w - w**2 + 54*w + 1. Determine -d(v) + 3*n(v).\nAnswer: -2*v**3 - 2*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152) - (sqrt(18) - sqrt(882))**2)*-6.\nAnswer: -144*sqrt(2) + 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/26)\/((-60)\/(-160)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1258 and 20?\nAnswer: 12580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = 135*x - x + 8069 - 14739 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 9*n**2 - 8*n + 25. Let t(r) = r**3 - 40*r**2 + 35*r - 101. Give -9*m(g) - 2*t(g).\nAnswer: -2*g**3 - g**2 + 2*g - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 147 - 559*a**2 + 8*a + 28 + 560*a**2. What is z(-17)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*h - 13, 4*h + 1 = 3*f + 3. Suppose 2*r + 3*r = 25. What is the third derivative of -10*t**f + 185 - 185 - r*t**2 wrt t?\nAnswer: -1200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.58 + 0.58. Let b = -1.6 + 2. Let i = -0.1 + b. Sort m, 1\/5, i in decreasing order.\nAnswer: i, 1\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -49. What is the remainder when b is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m + 13*m + 325. Suppose 0 = 5*i - 2*i - 345. Let d = m + i. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.5 - 8. Let h = -0.04 - -0.44. Let f = h + 4.6. Which is the second smallest value? (a) 1 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 11:38 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 3*m**2 + 2*m**2)*(1 + 229*m**2 - m**3 - 229*m**2).\nAnswer: -m**5 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15769032.\nAnswer: 2, 3, 79, 8317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -756 divided by -108.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -17. Let v be ((-4)\/8)\/((-2)\/t). Calculate the greatest common divisor of 4 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 999 - 103 = 0. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2\/4 - 9903135*i\/2 - 9903140.\nAnswer: 5*(i - 3961256)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -5. Suppose z - 34 = -h*q, 2*z - 2*q = -0*z + 28. What is the least common multiple of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 - 3*l**2 + 4*l. Let o(j) = -j. Let p(x) = -4*o(x) - u(x). Let q(y) = y**2. Suppose 12*f = 15*f + 138. Let c = -49 - f. Give c*q(w) + p(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-47)\/((-470)\/(-30)) - 19\/(-7). Suppose 2*y - 5*x = 1 + 9, 6 = -5*y - 3*x. Which is the closest to y? (a) -0.16 (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/12 + 3 + 4489\/3. Let s = w - 940. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*h + 80. Suppose -4*q + h = 5*r - 10, 5*q = 4*r + 12. Suppose -13*n - 21 + 60 = 0. Solve n*y - q*y = -1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 h, and 1 f when four letters picked without replacement from {f: 4, b: 4, h: 3, l: 3, z: 1, n: 5}.\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-10)*(-9)\/(-36)*10. Solve -6658*h**2 - 26*h**5 - 15144*h**3 - 1268*h**4 - 2*h**5 - 8031*h**r + 0*h**5 - 3087*h**2 - 3872*h = 0 for h.\nAnswer: -22, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g - 17 = 15*g + r, 3*r + 19 = -4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/2253 and 80\/330*-1 + -1.\nAnswer: 24783","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 2:06 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 5*h + 3 + 3, 5*c - 5*h - 15 = 0. Is (1 - -2) + 132\/c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 691, 2728, 6125, 10882, 16999?\n\"Answer: 680*d**2 - 3*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a + 2. Let t be j(1). Suppose t*n = -n + 340. Let f be (-6)\/(n\/(-16) + 4). What is the greatest common factor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 0*k - 2*k - 3 + 0. Let i be (-8)\/12 + (-16)\/3. What is the units digit of j(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15643 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 10*o**2 - 1764*o - 1765. Calculate n(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11947014 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - y + 6*y + (0 - 2 + 4)*(-2*y + 2 - 2) - y + 0*y - y - 2*y - y + y)*(-8 + 51*y + 117*y + 5).\nAnswer: -1176*y**2 + 21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Suppose -r + 36 = 2*b + 2*b, 20 = 4*b. Suppose 0*s + r = s. What is the greatest common factor of k and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.108 + 0.092. What is the nearest to -2\/11 in p, -3, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 484095, 967030, 1449965, 1932900?\n\"Answer: 482935*z + 1160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -40. Let g = -14 + p. What is the remainder when 46 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 5) + (-1 - -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2)**(9\/8)\/(((f**(10\/7)*f)\/f)\/(f**3\/f)) assuming f is positive.\nAnswer: f**(79\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -3. Suppose s*b - 5 = -1. What is the smallest common multiple of b and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330913*j**3 - 298099*j**3 + 629018*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m + 2. Let x(v) = v - 1. Let t(n) = 2*j(n) + 5*x(n). Let w(o) = -39*o**2 - o + 1. Calculate -t(z) - w(z).\nAnswer: 39*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 30 = q. Let l be (-24)\/(-14) + 4\/14. Let j(u) = 0*u**q - 6*u**l + 3*u**2 - 1 + u - u**3. Calculate j(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 1\/6*j**4 + 1\/60*j**5 + j + 2*j**2 - j**3 + 0. Let x(y) be the first derivative of v(y). Calculate x(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3814, 15277, 34388, 61153, 95578, 137669?\n\"Answer: t**3 + 3818*t**2 + 2*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 6, -39, 4, 0.\nAnswer: -39, -13, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -225356 or -225387?\nAnswer: -225387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b**3 + b**3 + 2*b**3 + (-b - 4*b + 3*b)*(2 + 2*b**2 - 2) + 5*b**3 + 0*b**3 - 4*b**3 as h*b + l*b**2 + o + v*b**3 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b3c2c8 + 1?\nAnswer: -3b3c2c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 536 = -2*u, -6*p + 1608 = -3*p - u. Calculate the greatest common factor of p and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11b29 - c?\nAnswer: -11b36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-256)\/(-6)*51\/119 - (-26)\/(-91)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5, 4, 27, 70, 139?\n\"Answer: s**3 + s**2 - s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 34\/5 of a millennium?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.129 - 0.271. Let h be -1 + (0 - (-15)\/3). What is the second smallest value in z, h, -0.5, -2\/43?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 4, 3*t + 2*t = -o + 28. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*27\/(297\/22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 17*p + 81. Let u be w(11). Let k be 21\/u + (18\/30 - 0). Solve 2*f - m = -7, -3*m + 3 = -k*f + 2*m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51793 + -30981. What is the thousands digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnknkknknnkkk. What is prob of sequence kkkk?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*f - 7. Suppose f*a - 14 = 7. Let n = -6 + a. Is n less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**3 + 2*g - 3*g - g)*(-3*g - 2*g + 3*g + 5*g + 0*g - 3*g + (-3*g + 3*g + 2*g)*(3 - 3 + 2)).\nAnswer: -20*g**4 - 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.236963 centuries to decades.\nAnswer: 82.36963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1*(sqrt(450)*-1 - (sqrt(50) + ((sqrt(100) - (sqrt(100) - sqrt(100)*-2)) + sqrt(100))\/sqrt(2) - sqrt(50))))\/(sqrt(280)\/(sqrt(21)\/sqrt(3))*-3))**2.\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-5) + (-1036)\/(-35). Let g = -46 + m. Is g >= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209\/60 at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 != 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u. Let w(h) = 4*h - 1. Let v(r) = 2*a(r) - w(r). List the prime factors of v(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 90.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k = 9*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1910 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -249\/146 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2 - 1 + 3 - 3 + 2 + 3 - 4 + (-1 - 1 + 4)*(1 + 2 - 1))*(78 + 35*a - 78) + (-1 + 0 + 3)*(4 + 8*a - 1 - 6) to v*a + b and give v.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 104*m**2 - m. Let g be b(-1). Suppose 0 = -u + 2*h + g, -u - h + 95 - 2 = 0. Suppose -2*z + 0*k - k = -37, -4*k + u = 5*z. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000950352 to six decimal places.\nAnswer: 0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q + 1. Let o be x(-2). Suppose -t + 3*m = -6, -4*m - 43 = -45*t + 42*t. Solve -o*n + 4 = -t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 132*c**2 + 5014*c - 57. What is o(-38)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 3:50 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000186845591 to 7 dps.\nAnswer: 0.0000187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 66*b + 12631. Let x(i) = -82*i - 12629. Give -5*l(y) - 4*x(y).\nAnswer: -2*y - 12639","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -194180 divided by 28?\nAnswer: -6935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.04266754 and 0.11.\nAnswer: 0.06733246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -489852 or -489853?\nAnswer: -489852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28325 + -142?\nAnswer: 28183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = -142 - 74. Let r be ((-4)\/(-6))\/(h\/81). Let p(f) = f**3 + 4*f**2 - f - 3. Determine p(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*p - 30, 2*p = 3*x - 3*p - 2. Suppose -x*y + 0*y = -20. Calculate the remainder when 12 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -348648 plus 18302.598?\nAnswer: -330345.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 243 - 119 - 6*f - 125 as y*f + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -433244 (base 8) in base 3?\nAnswer: -21100222121","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0558957*-0.01.\nAnswer: -0.000558957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41 + 38 - 70 + 11*w with respect to w.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 10919?\nAnswer: 4\/10919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (60\/(-14) - -4)*-7. Solve -3*y = o*a + 2, 0*a - 2*a + 5*y = -14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5411 + -16231\/3. Let n = -0.04 + 0.44. Sort l, n, -5, 4 in decreasing order.\nAnswer: 4, l, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -360*b - 509*b + 103*b to g + s*b and give s.\nAnswer: -766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*o - 1)*(-16 - 58*o + 31*o + 22*o + (-1 - 3 + 2)*(4*o + 0*o - 2*o) + 1 + o - 1).\nAnswer: -16*o**2 - 32*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b. Let l(n) be the third derivative of n**4\/4 - n**3\/6 + 7*n**2. Calculate 5*k(d) + l(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 105674, 211432, 317264, 423164, 529126, 635144, 741212, 847324?\n\"Answer: -b**3 + 43*b**2 + 105636*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -12\/5*q**3 + 876\/5*q**2 + 177*q + 222\/5 = 0.\nAnswer: -1\/2, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 4*t + 4. Let f be m(-4). Suppose l - f*l = 6. Let r be (0 - 2)\/(l\/5). Solve 0 = 3*g - 2*a + 14, 15 = r*a - 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3278835 (base 10) to base 4.\nAnswer: 30200133303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.22701109 times 0.5\nAnswer: 0.113505545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320\/((-16)\/(-2))*(6\/(-27))\/(40\/360).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35 and -6.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 9\/(135\/2805) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 9 - 3. Calculate the smallest common multiple of (-2470)\/285*12\/(-26) and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50068 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: What is 6783408 divided by 133008?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 6*y**2 + 6*y - 7. Let v(k) = k**2 - 5*k - 1. Let g be v(3). Determine t(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 6915.1131ms?\nAnswer: 0.00001143371875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -1, -3\/20, 1 in ascending order.\nAnswer: -1, -3\/20, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 83, 189, 115, -343, -1389, -3227?\n\"Answer: -34*t**3 + 114*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 82 = -6*d. Let c = d - -454. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 130200310?\nAnswer: 130200303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 1. Let u be i(5). Let h(f) = f**2 + f + 3. What is the units digit of h(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p**(-5)\/p)\/p)*p**(-2\/13)*p)**17 assuming p is positive.\nAnswer: p**(1955\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (74\/(-925))\/((-15)\/(-125)*5)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1021 is divided by 175?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 2.0175. What is b rounded to three dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (-1)\/2*4. Suppose -28 = 3*m - 4*m + 4*b, -5*m + q*b + 92 = 0. What is the highest common divisor of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = -14*j - 5*u + 16476, -5*u - 15 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16262698 + 20721.\nAnswer: 20721.16262698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 62?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147*h**2 + 464572 - 30797 + 234497 - 27132*h + 554763 + 28913.\nAnswer: 3*(7*h - 646)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/13 - 5188*q\/13 + 2474640\/13.\nAnswer: 2*(q - 1964)*(q - 630)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1186662?\nAnswer: 2, 3, 23, 8599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 - 7*l**2 - 2*l**2 - 6*l**2 - 28*l + 5*l**2.\nAnswer: -4*l**2 - 28*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 2:44 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -47*j**2 + 328*j + 18. What is w(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8405151338 to the power of 1\/5, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111000000 (base 2) to base 4.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1914 and 13802811.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43120 and 280?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199008920 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (6*(3*(sqrt(143) + -1*sqrt(143)) - (sqrt(143) - (sqrt(143) + 2*sqrt(143)*5 + sqrt(143)))))\/((sqrt(352)\/(1*sqrt(8)))\/(sqrt(4)*2*6)))**2.\nAnswer: -7920*sqrt(13) + 8154457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/8 + (-184437)\/108. Is -7 + 5 - (n - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -165 + 656. Is 42 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1434820 and 27405062?\nAnswer: 274050620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1247\/1004 - 2\/251. Let g = 0.3 - 0.1. Which is the closest to 0? (a) g (b) 2\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13841.\nAnswer: 13841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6\/55 - -128\/165. Let z = 168032.5 - 168032. Put z, -4, -5, t in increasing order.\nAnswer: -5, -4, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.082447ng in tonnes?\nAnswer: 0.000000000000007082447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2) + 26\/4. Suppose -x*b + b = -12. Suppose 0 = -a - 3*f + 37, 2*f + b*f - 45 = -a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 21123303?\nAnswer: 21123222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 o, and 1 l when three letters picked without replacement from {r: 4, p: 1, z: 3, x: 1, l: 5, o: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -918 = -61*x - 41*x. Which is the biggest value? (a) -0.5 (b) -0.05 (c) x (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 6:26 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**9*b**(4\/7))**(-19\/3)\/((b**(-2\/3)\/b)**(-1\/12)\/(b\/b**(-2))**(4\/19)) assuming b is positive.\nAnswer: b**(-348533\/4788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 + (86 - 25 - -49)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44.47 - 44.66. Let h = -28.3 - -29.49. Let t = h + a. Is t greater than or equal to -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 6*j**2 + 3*j + 4. Determine u(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.303409 or -0.12?\nAnswer: 2.303409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -226176.52 plus -0.05?\nAnswer: -226176.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -10 + -18 - 34?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/(-143) - 12303\/3510 - -4.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24886732?\nAnswer: 2, 13, 19, 25189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24248128 divided by 6062032.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/11 and (26\/8 - 0)\/(19\/(-19)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43577.\nAnswer: 43577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15494, -61964, -139414, -247844, -387254, -557644?\n\"Answer: -15490*o**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.24 - 0.26. Let q = -7 + 12. Sort j, 1\/4, q in ascending order.\nAnswer: j, 1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03136276 rounded to four dps?\nAnswer: 0.0314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrieeeeeweteeqeeeiet. Give prob of sequence ttq.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -29*l + 10*l + 8*l - 8. Let r be b(-9). Let y = -60 + r. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*l**2 + 26*l**2 + 2*l**4 + ((0*l - 6*l + 3*l)*(-4 + 5 - 2) + 3*l + l - 2*l + 5*l - 2*l - 2*l)*((-l + 2*l**2 + l)*(1 - 2*l - 1) - 2*l**3 + 3*l - 3*l).\nAnswer: -34*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 37 = 5*b. Let h be b\/1*(3 - 2). Solve -2*n - h = 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l + 4. Suppose -2*t - q + 389 = -4*t, -3*t + 2*q = 583. Let h be 56\/t + (-6)\/(-45). Put 10, h, l in decreasing order.\nAnswer: 10, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from {m: 3, r: 8}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -18. Let t be (-308)\/(-16) + v\/(-16). Let o be (-7)\/28 - t\/4. Is -3 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.5 from -41.6130705836.\nAnswer: -46.1130705836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1414609697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 + 10*d**2 + 10*d - 99. Let k(x) = -x**3 + 5*x**2 + 5*x - 54. Give -11*k(r) + 6*q(r).\nAnswer: -r**3 + 5*r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 12:13 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13805157631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 3. Let f(z) = z**3 + 27*z**2 + 126*z + 3. Let h be f(-21). Put h, i, 8 in descending order.\nAnswer: 8, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2467 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -160*q**3 - 2*q + 3. Let l(w) = 149*w**3 + 2*w - 4. Determine 3*f(a) + 2*l(a).\nAnswer: -182*a**3 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 4*o**2 + 6*o - 18. Let r(l) = -4*l**3 - 17*l**2 - 24*l + 80. What is -9*f(n) - 2*r(n)?\nAnswer: -n**3 - 2*n**2 - 6*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 > 8\/323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 15. Let i(f) = 15. Let u(s) = 4*i(s) + 5*l(s). Let z be u(-5). Calculate the highest common divisor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 8:29 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 + (-6 - (-6)\/((-36)\/(-30))). Solve b*y - 5 = 10*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2358.182 + 2417.37117. Let f = -59.2 + n. Round f to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-18))\/((-151)\/((-708492)\/(-184)))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3\/3 + 8819*z**2\/3 + 2086376*z\/3 + 40596752 = 0. What is z?\nAnswer: -116, 9051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/8, -9, -0.024047?\nAnswer: -0.024047","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6) - ((-110)\/(-150))\/((-1)\/5). Solve 5*p = -5*d - 13 - 27, w = 2*p - 2*d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 5 (c) -10684 (d) 2\/3 (e) -0.5 (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 8 - 11 + 2*k.\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**5\/15 + 7*v**4\/24 - 7*v**3\/6 + 2*v**2. Let x(p) = 5*p**2 + 8*p - 8. What is 6*s(u) - 5*x(u)?\nAnswer: -u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5a2 - -1?\nAnswer: 5a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-14*1\/(-2). Let n = -5 + d. Factor -2*j - 2*j**2 + 5*j**4 + 2*j**5 + 2*j**2 - j**4 - 4*j**n.\nAnswer: 2*j*(j - 1)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26237120 and 6160?\nAnswer: 288608320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6 + 2*620\/120?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by (35\/4)\/((-165)\/(-1980)).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -1\/5, -0.1, -155966.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 + 124. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(3\/5)\/k*k)\/k)\/(k\/(k\/(k*k*k\/(k\/(k**(3\/7)\/k*k))*k*k))))\/(k**(-30)*k*k**(-13\/2)\/k) assuming k is positive.\nAnswer: k**(2287\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*s = 165. Let p = 831\/5 - s. Are 0 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 32 = 3*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1969 + 2033 = -16*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 473174447 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -28*f + 2464. Let r be h(88). Let 0*v - 9\/8*v**4 - 3\/8*v**2 + r + 9\/8*v**3 + 3\/8*v**5 = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*w - 4 = 0. Let k(n) = 9*n + 1. Let i be k(w). Solve -5*h - i = -5*b, -b = -3*b - 4*h - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-12))\/((-6)\/12) + 315. Is 315 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 11*m + 2. Let q be t(11). Let b(f) = -f**2 + 5*f - 1. Let g(l) = 21*l + 40 - 19*l - 16 - 24. What is q*b(r) - 4*g(r)?\nAnswer: -2*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 43\/4 - (-5)\/20. Let i = v + 1. Calculate the remainder when 23 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.0345757 years?\nAnswer: 0.00345757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6288*r - 6576. What is the hundreds digit of o(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 + -66. Suppose 5*q - o + h*o = -18383, 5*q + o + 18387 = 0. Let c = q + 5220. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15559 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -139 - -144. Solve j*l - 15 = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6305.029g?\nAnswer: 0.006305029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2. Let p(h) be the first derivative of -11*h**2 - 12. What is p(g(u))?\nAnswer: -44*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158 + 549 = 64*x - 61 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*y, 0 = -5*t - y - 3*y + 42. Calculate the highest common factor of 12 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47939942 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 7*a**2 - 4*a - 2. Let l be v(8). Let g = 42 - l. Let k be 4\/(0 + (2 - 1)). Solve -4*x - k = g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 4)*-1*-1. Let k(n) = -10*n**i + 8*n**2 + 5*n**2. Let q(s) = -6*s**2. Give 5*k(w) + 3*q(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9059592 (base 10) in base 2?\nAnswer: 100010100011110100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2655 + -2654. Does f = -282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}